name 名前 | JMB |
---|---|
date 日付 | November 4, 2006 15:05:14 UTC 2006 年 11 月 5 日 (日) 0 時 5 分 14 秒 (日本時間) |
composite number 合成数 | 21029083294262633671806153503575132464951006198960260283809320282565328457608252837898295818594576069027076635542747249450985536866013131<137> |
prime factors 素因数 | 33108811339229359436324412647303299386888839796775859569<56> 635150657593861735194302722673849771111790656208078860699275923576820452341058299<81> |
factorization results 素因数分解の結果 | Number: N N=21029083294262633671806153503575132464951006198960260283809320282565328457608252837898295818594576069027076635542747249450985536866013131 ( 137 digits) SNFS difficulty: 147 digits. Divisors found: r1=33108811339229359436324412647303299386888839796775859569 (pp56) r2=635150657593861735194302722673849771111790656208078860699275923576820452341058299 (pp81) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 49.41 hours. Scaled time: 41.85 units (timescale=0.847). Factorization parameters were as follows: name: 10^147+3 n: 21029083294262633671806153503575132464951006198960260283809320282565328457608252837898295818594576069027076635542747249450985536866013131 skew: 3 c5: 100 c4: 0 c3: 0 c2: 0 c1: 0 c0: 3 m: 100000000000000000000000000000 type: snfs rlim: 1500000 alim: 1500000 lpbr: 25 lpba: 25 mfbr: 46 mfba: 46 rlambda: 2.3 alambda: 2.3 qintsize: 25000 Factor base limits: 1500000/1500000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved algebraic special-q in [750000, 750000) Primes: RFBsize:114155, AFBsize:114062, largePrimes:2364569 encountered Relations: rels:2647538, finalFF:270674 Max relations in full relation-set: 28 Initial matrix: 228281 x 270674 with sparse part having weight 33459960. Pruned matrix : 216513 x 217718 with weight 25537184. Total sieving time: 46.63 hours. Total relation processing time: 0.32 hours. Matrix solve time: 2.27 hours. Time per square root: 0.19 hours. Prototype def-par.txt line would be: snfs,147,5,0,0,0,0,0,0,0,0,1500000,1500000,25,25,46,46,2.3,2.3,100000 total time: 49.41 hours. --------- CPU info (if available) ---------- |
execution environment 実行環境 | WinXP Pro, Cygwin |
name 名前 | JMB |
---|---|
date 日付 | November 6, 2006 05:16:18 UTC 2006 年 11 月 6 日 (月) 14 時 16 分 18 秒 (日本時間) |
composite number 合成数 | 392330634414488974731222398448381945764017396400978605812774161961346108149639752235416711259679426819944874434795840080452147<126> |
prime factors 素因数 | 10179078449976201273125762528418361136218099<44> 38542844162420837355114416087578812267010926136810640691082927212474664077128617153<83> |
factorization results 素因数分解の結果 | Number: N N=392330634414488974731222398448381945764017396400978605812774161961346108149639752235416711259679426819944874434795840080452147 ( 126 digits) SNFS difficulty: 148 digits. Divisors found: r1=10179078449976201273125762528418361136218099 (pp44) r2=38542844162420837355114416087578812267010926136810640691082927212474664077128617153 (pp83) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 57.98 hours. Scaled time: 52.13 units (timescale=0.899). Factorization parameters were as follows: name: 10^148+3 n: 392330634414488974731222398448381945764017396400978605812774161961346108149639752235416711259679426819944874434795840080452147 skew: 1 c5: 1000 c4: 0 c3: 0 c2: 0 c1: 0 c0: 3 m: 100000000000000000000000000000 type: snfs rlim: 1500000 alim: 1500000 lpbr: 25 lpba: 25 mfbr: 46 mfba: 46 rlambda: 2.3 alambda: 2.3 qintsize: 25000 Factor base limits: 1500000/1500000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved algebraic special-q in [750000, 3225001) Primes: RFBsize:114155, AFBsize:114347, largePrimes:2340638 encountered Relations: rels:2602625, finalFF:264638 Max relations in full relation-set: 28 Initial matrix: 228568 x 264638 with sparse part having weight 32674494. Pruned matrix : 218631 x 219837 with weight 25690126. Total sieving time: 55.13 hours. Total relation processing time: 0.47 hours. Matrix solve time: 2.20 hours. Time per square root: 0.19 hours. Prototype def-par.txt line would be: snfs,148,5,0,0,0,0,0,0,0,0,1500000,1500000,25,25,46,46,2.3,2.3,100000 total time: 57.98 hours. --------- CPU info (if available) ---------- |
execution environment 実行環境 | WinXP Pro, Cygwin |
name 名前 | JMB |
---|---|
date 日付 | November 5, 2006 15:25:33 UTC 2006 年 11 月 6 日 (月) 0 時 25 分 33 秒 (日本時間) |
composite number 合成数 | 201933913071424982554443486097022358534765620531438813704184687647223109961384571952249796471679166183336866840352357634760173<126> |
prime factors 素因数 | 384564861922004165543203544546821681061<39> 525097150223725778038006971456374587050144448028021793732567240767742167666853365031593<87> |
factorization results 素因数分解の結果 | GMP-ECM 6.0.1 B1: 11000000 Sigma: 1044949713 r1: 384564861922004165543203544546821681061 (PRP-39) r2: 525097150223725778038006971456374587050144448028021793732567240767742167666853365031593 (PRP-87) |
execution environment 実行環境 | WinXP |
name 名前 | JMB |
---|---|
date 日付 | November 6, 2006 13:51:42 UTC 2006 年 11 月 6 日 (月) 22 時 51 分 42 秒 (日本時間) |
composite number 合成数 | 220185196899808391220278424731994458406334096942740234561275226231125986856866486145907394280837878238350277133007976381084084192557<132> |
prime factors 素因数 | 1312781142610220555791731442886796814088531285959604282653<58> 167724222837335381788066096688395065923446964535816909617221682818743071569<75> |
factorization results 素因数分解の結果 | Number: N N=220185196899808391220278424731994458406334096942740234561275226231125986856866486145907394280837878238350277133007976381084084192557 ( 132 digits) SNFS difficulty: 150 digits. Divisors found: r1=1312781142610220555791731442886796814088531285959604282653 (pp58) r2=167724222837335381788066096688395065923446964535816909617221682818743071569 (pp75) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 48.22 hours. Scaled time: 44.70 units (timescale=0.927). Factorization parameters were as follows: name: 10^148+3 n: 220185196899808391220278424731994458406334096942740234561275226231125986856866486145907394280837878238350277133007976381084084192557 skew: 1 c5: 1 c4: 0 c3: 0 c2: 0 c1: 0 c0: 3 m: 1000000000000000000000000000000 type: snfs rlim: 2000000 alim: 2000000 lpbr: 25 lpba: 25 mfbr: 46 mfba: 46 rlambda: 2.3 alambda: 2.3 qintsize: 50000 Factor base limits: 2000000/2000000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved algebraic special-q in [1000000, 2050001) Primes: RFBsize:148933, AFBsize:148825, largePrimes:2182381 encountered Relations: rels:2406623, finalFF:361245 Max relations in full relation-set: 28 Initial matrix: 297822 x 361245 with sparse part having weight 30716807. Pruned matrix : 259122 x 260675 with weight 20259735. Total sieving time: 45.43 hours. Total relation processing time: 0.40 hours. Matrix solve time: 2.21 hours. Time per square root: 0.18 hours. Prototype def-par.txt line would be: snfs,150,5,0,0,0,0,0,0,0,0,2000000,2000000,25,25,46,46,2.3,2.3,100000 total time: 48.22 hours. --------- CPU info (if available) ---------- |
execution environment 実行環境 | Stage-1 distributed across a half dozen systems with 6 hours total clock-time. Stage-2 run under WinXP Pro & Cygwin. |
name 名前 | JMB |
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date 日付 | November 6, 2006 23:36:49 UTC 2006 年 11 月 7 日 (火) 8 時 36 分 49 秒 (日本時間) |
composite number 合成数 | 514668039114770972722593926917138445702521873391662377766340710241893978383942357179619145651055069480185280494081317550180133813690169840452907874421<150> |
prime factors 素因数 | 376761827601512787036094285501223811506077<42> 1366030211688845889671647585845412059913391266235993559996651995578056259930708624299661596143715652351500473<109> |
factorization results 素因数分解の結果 | Number: N N=514668039114770972722593926917138445702521873391662377766340710241893978383942357179619145651055069480185280494081317550180133813690169840452907874421 ( 150 digits) SNFS difficulty: 153 digits. Divisors found: r1=376761827601512787036094285501223811506077 (pp42) r2=1366030211688845889671647585845412059913391266235993559996651995578056259930708624299661596143715652351500473 (pp109) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 43.84 hours. Scaled time: 39.81 units (timescale=0.908). Factorization parameters were as follows: name: 10^153+3 n: 514668039114770972722593926917138445702521873391662377766340710241893978383942357179619145651055069480185280494081317550180133813690169840452907874421 skew: 1 c5: 1000 c4: 0 c3: 0 c2: 0 c1: 0 c0: 3 m: 1000000000000000000000000000000 type: snfs rlim: 2000000 alim: 2000000 lpbr: 25 lpba: 25 mfbr: 46 mfba: 46 rlambda: 2.3 alambda: 2.3 qintsize: 20000 Factor base limits: 2000000/2000000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved algebraic special-q in [1000000, 1840001) Primes: RFBsize:148933, AFBsize:149150, largePrimes:2192600 encountered Relations: rels:2396730, finalFF:336011 Max relations in full relation-set: 28 Initial matrix: 298149 x 336011 with sparse part having weight 30541850. Pruned matrix : 283874 x 285428 with weight 23315534. Total sieving time: 40.28 hours. Total relation processing time: 0.28 hours. Matrix solve time: 3.09 hours. Time per square root: 0.19 hours. Prototype def-par.txt line would be: snfs,153,5,0,0,0,0,0,0,0,0,2000000,2000000,25,25,46,46,2.3,2.3,100000 total time: 43.84 hours. --------- CPU info (if available) ---------- |
execution environment 実行環境 | Stage-1: distributed across a half dozen systems Stage-2: WinXP Pro + Cygwin |
name 名前 | JMB |
---|---|
date 日付 | November 7, 2006 02:14:52 UTC 2006 年 11 月 7 日 (火) 11 時 14 分 52 秒 (日本時間) |
composite number 合成数 | 360399024222921909270235911303974311261988445519545605666583983972180980784491046755349332963748845118776491140122019197845700079530778267<138> |
prime factors 素因数 | 149423443005462551721301379502643750647745574130417390277014997318813<69> 2411930932482573111391518332280642017351271749416029057705410264299159<70> |
factorization results 素因数分解の結果 | Number: Job N=360399024222921909270235911303974311261988445519545605666583983972180980784491046755349332963748845118776491140122019197845700079530778267 ( 138 digits) SNFS difficulty: 154 digits. Divisors found: r1=149423443005462551721301379502643750647745574130417390277014997318813 (pp69) r2=2411930932482573111391518332280642017351271749416029057705410264299159 (pp70) Version: GGNFS-0.77.1-20060513-athlon-xp Total time: 45.44 hours. Scaled time: 79.88 units (timescale=1.758). Factorization parameters were as follows: name: 10^154+3 n: 360399024222921909270235911303974311261988445519545605666583983972180980784491046755349332963748845118776491140122019197845700079530778267 skew: 1 c5: 10000 c4: 0 c3: 0 c2: 0 c1: 0 c0: 3 m: 1000000000000000000000000000000 type: snfs rlim: 2000000 alim: 2000000 lpbr: 25 lpba: 25 mfbr: 46 mfba: 46 rlambda: 2.3 alambda: 2.3 qintsize: 20000 Factor base limits: 2000000/2000000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved algebraic special-q in [1000000, 1860001) Primes: RFBsize:148933, AFBsize:148285, largePrimes:2191969 encountered Relations: rels:2400183, finalFF:341909 Max relations in full relation-set: 28 Initial matrix: 297282 x 341909 with sparse part having weight 30111148. Pruned matrix : 280747 x 282297 with weight 22030937. Total sieving time: 43.61 hours. Total relation processing time: 0.10 hours. Matrix solve time: 1.66 hours. Time per square root: 0.07 hours. Prototype def-par.txt line would be: snfs,154,5,0,0,0,0,0,0,0,0,2000000,2000000,25,25,46,46,2.3,2.3,100000 total time: 45.44 hours. --------- CPU info (if available) ---------- |
execution environment 実行環境 | Stage-1 distributed across 7 systems Stage-2 WinXP Pro + Cygwin |
name 名前 | JMB |
---|---|
date 日付 | November 7, 2006 16:46:08 UTC 2006 年 11 月 8 日 (水) 1 時 46 分 8 秒 (日本時間) |
composite number 合成数 | 686340925714619629813773407842849504154136513898346137695447647130283089746715169548133228993215230649747386989970687059844292811941864550032875137<147> |
prime factors 素因数 | 56562887171939352687533078968873450917397<41> 12134121153120891677860517234609605899226468109948574988494138769478971577913168918124640360449818429183421<107> |
factorization results 素因数分解の結果 | Number: Job N=686340925714619629813773407842849504154136513898346137695447647130283089746715169548133228993215230649747386989970687059844292811941864550032875137 ( 147 digits) SNFS difficulty: 158 digits. Divisors found: r1=56562887171939352687533078968873450917397 (pp41) r2=12134121153120891677860517234609605899226468109948574988494138769478971577913168918124640360449818429183421 (pp107) Version: GGNFS-0.77.1-20060513-athlon-xp Total time: 73.73 hours. Scaled time: 136.77 units (timescale=1.855). Factorization parameters were as follows: name: 10^158+3 n: 686340925714619629813773407842849504154136513898346137695447647130283089746715169548133228993215230649747386989970687059844292811941864550032875137 skew: 1 c5: 1000 c4: 0 c3: 0 c2: 0 c1: 0 c0: 3 m: 10000000000000000000000000000000 type: snfs rlim: 2000000 alim: 2000000 lpbr: 25 lpba: 25 mfbr: 46 mfba: 46 rlambda: 2.3 alambda: 2.3 qintsize: 20000 Factor base limits: 2000000/2000000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved algebraic special-q in [1000000, 2480001) Primes: RFBsize:148933, AFBsize:149150, largePrimes:2286233 encountered Relations: rels:2556588, finalFF:336729 Max relations in full relation-set: 28 Initial matrix: 298149 x 336729 with sparse part having weight 39120057. Pruned matrix : 285932 x 287486 with weight 31441874. Total sieving time: 71.27 hours. Total relation processing time: 0.11 hours. Matrix solve time: 2.27 hours. Time per square root: 0.08 hours. Prototype def-par.txt line would be: snfs,158,5,0,0,0,0,0,0,0,0,2000000,2000000,25,25,46,46,2.3,2.3,100000 total time: 73.73 hours. --------- CPU info (if available) ---------- |
execution environment 実行環境 | Stage-1: Distributed sieving across a half dozen systems Stage-2: WinXP Pro + Cygwin |
name 名前 | JMB |
---|---|
date 日付 | November 8, 2006 05:06:49 UTC 2006 年 11 月 8 日 (水) 14 時 6 分 49 秒 (日本時間) |
composite number 合成数 | 33069228516066127828095467188710501944989981714508049208067552235661273476089033705608855208287520512577078328935684044968578266957379<134> |
prime factors 素因数 | 365088561996659184739622906690610283957025786636979183011<57> 90578648466036397927895461652215642063389691714124448760625362551232618315489<77> |
factorization results 素因数分解の結果 | Number: Job N=33069228516066127828095467188710501944989981714508049208067552235661273476089033705608855208287520512577078328935684044968578266957379 ( 134 digits) SNFS difficulty: 159 digits. Divisors found: r1=365088561996659184739622906690610283957025786636979183011 (pp57) r2=90578648466036397927895461652215642063389691714124448760625362551232618315489 (pp77) Version: GGNFS-0.77.1-20060513-athlon-xp Total time: 67.02 hours. Scaled time: 123.99 units (timescale=1.850). Factorization parameters were as follows: name: 10^159+3 n: 33069228516066127828095467188710501944989981714508049208067552235661273476089033705608855208287520512577078328935684044968578266957379 skew: 1 c5: 10000 c4: 0 c3: 0 c2: 0 c1: 0 c0: 3 m: 10000000000000000000000000000000 type: snfs rlim: 2500000 alim: 2500000 lpbr: 26 lpba: 26 mfbr: 47 mfba: 47 rlambda: 2.3 alambda: 2.3 qintsize: 20000 Factor base limits: 2500000/2500000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 47/47 Sieved algebraic special-q in [1250000, 2510001) Primes: RFBsize:183072, AFBsize:182136, largePrimes:3638522 encountered Relations: rels:3804343, finalFF:422771 Max relations in full relation-set: 28 Initial matrix: 365272 x 422771 with sparse part having weight 42045423. Pruned matrix : 343496 x 345386 with weight 31618122. Total sieving time: 63.83 hours. Total relation processing time: 0.16 hours. Matrix solve time: 2.94 hours. Time per square root: 0.09 hours. Prototype def-par.txt line would be: snfs,159,5,0,0,0,0,0,0,0,0,2500000,2500000,26,26,47,47,2.3,2.3,100000 total time: 67.02 hours. --------- CPU info (if available) ---------- |
execution environment 実行環境 | Stage-1: Distributed sieving Stage-2: WinXP Pro + Cygwin Total clock time to factor, 12 hours and 5 minutes. |
name 名前 | JMB |
---|---|
date 日付 | November 8, 2006 18:33:30 UTC 2006 年 11 月 9 日 (木) 3 時 33 分 30 秒 (日本時間) |
composite number 合成数 | 9091602483434276582331722452653348048116352758006019425620053354886938383960657549356599224903299469115788497391900843527220038162003<133> |
prime factors 素因数 | 55689458843269071823219640216823151<35> 31215643436669954814773315727432097321<38> 5229921251194894076800387430777663894801697083886414650870293<61> |
factorization results 素因数分解の結果 | Number: Job N=9091602483434276582331722452653348048116352758006019425620053354886938383960657549356599224903299469115788497391900843527220038162003 ( 133 digits) SNFS difficulty: 161 digits. Divisors found: r1=55689458843269071823219640216823151 (pp35) r2=31215643436669954814773315727432097321 (pp38) r3=5229921251194894076800387430777663894801697083886414650870293 (pp61) Version: GGNFS-0.77.1-20060513-athlon-xp Total time: 72.01 hours. Scaled time: 131.70 units (timescale=1.829). Factorization parameters were as follows: name: 10^161+3 n: 9091602483434276582331722452653348048116352758006019425620053354886938383960657549356599224903299469115788497391900843527220038162003 skew: 1 c5: 10 c4: 0 c3: 0 c2: 0 c1: 0 c0: 3 m: 100000000000000000000000000000000 type: snfs rlim: 2500000 alim: 2500000 lpbr: 26 lpba: 26 mfbr: 47 mfba: 47 rlambda: 2.3 alambda: 2.3 qintsize: 20000 Factor base limits: 2500000/2500000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 47/47 Sieved algebraic special-q in [1250000, 2670001) Primes: RFBsize:183072, AFBsize:183096, largePrimes:3724852 encountered Relations: rels:3939067, finalFF:424694 Max relations in full relation-set: 28 Initial matrix: 366234 x 424694 with sparse part having weight 49131957. Pruned matrix : 345897 x 347792 with weight 38131203. Total sieving time: 68.36 hours. Total relation processing time: 0.16 hours. Matrix solve time: 3.38 hours. Time per square root: 0.10 hours. Prototype def-par.txt line would be: snfs,161,5,0,0,0,0,0,0,0,0,2500000,2500000,26,26,47,47,2.3,2.3,100000 total time: 72.01 hours. --------- CPU info (if available) ---------- |
execution environment 実行環境 | Stage-1 distributed sieving, stage-2 WinXP Pro + Cygwin |
name 名前 | JMB |
---|---|
date 日付 | November 9, 2006 12:58:34 UTC 2006 年 11 月 9 日 (木) 21 時 58 分 34 秒 (日本時間) |
composite number 合成数 | 1575133803678788003843956534497714244580791526788221842474963641973976584375901271873292456510949463879582910869321071651734135685491143258891984726872586009<157> |
prime factors 素因数 | 117231589899843222398103253015079733333423108013<48> 13436086681281923664269307468592392032596002915199098937195994818328776362541162076537167449224244474925441693<110> |
factorization results 素因数分解の結果 | Number: Job N=1575133803678788003843956534497714244580791526788221842474963641973976584375901271873292456510949463879582910869321071651734135685491143258891984726872586009 ( 157 digits) SNFS difficulty: 163 digits. Divisors found: r1=117231589899843222398103253015079733333423108013 (pp48) r2=13436086681281923664269307468592392032596002915199098937195994818328776362541162076537167449224244474925441693 (pp110) Version: GGNFS-0.77.1-20060513-athlon-xp Total time: 82.88 hours. Scaled time: 151.59 units (timescale=1.829). Factorization parameters were as follows: name: 10^163+3 n: 1575133803678788003843956534497714244580791526788221842474963641973976584375901271873292456510949463879582910869321071651734135685491143258891984726872586009 skew: 2 c5: 1000 c4: 0 c3: 0 c2: 0 c1: 0 c0: 3 m: 100000000000000000000000000000000 type: snfs rlim: 3000000 alim: 3000000 lpbr: 27 lpba: 27 mfbr: 48 mfba: 48 rlambda: 2.3 alambda: 2.3 qintsize: 20000 Factor base limits: 3000000/3000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [1500000, 3140001) Primes: RFBsize:216816, AFBsize:216791, largePrimes:5926753 encountered Relations: rels:5958971, finalFF:493581 Max relations in full relation-set: 28 Initial matrix: 433673 x 493581 with sparse part having weight 56882975. Pruned matrix : 410829 x 413061 with weight 45472614. Total sieving time: 78.17 hours. Total relation processing time: 0.24 hours. Matrix solve time: 4.35 hours. Time per square root: 0.12 hours. Prototype def-par.txt line would be: snfs,163,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000 total time: 82.88 hours. --------- CPU info (if available) ---------- |
execution environment 実行環境 | Distributed stage-1 sieving, stage-2 on WinXP Pro + Cygwin |
name 名前 | JMB |
---|---|
date 日付 | November 10, 2006 13:18:50 UTC 2006 年 11 月 10 日 (金) 22 時 18 分 50 秒 (日本時間) |
composite number 合成数 | 1290611301114084388660783119477994372937028016800687221470364447812500253084007981362043316535746405003945717855762764937726394301548860221530261<145> |
prime factors 素因数 | 4075389007177818510425958607451799493<37> 316684198450990245853796446126980851388377309015444532754266605694332398770449162432993865124395996668140177<108> |
factorization results 素因数分解の結果 | Number: Job N=1290611301114084388660783119477994372937028016800687221470364447812500253084007981362043316535746405003945717855762764937726394301548860221530261 ( 145 digits) SNFS difficulty: 164 digits. Divisors found: r1=4075389007177818510425958607451799493 (pp37) r2=316684198450990245853796446126980851388377309015444532754266605694332398770449162432993865124395996668140177 (pp108) Version: GGNFS-0.77.1-20060513-athlon-xp Total time: 100.00 hours. Scaled time: 183.40 units (timescale=1.834). Factorization parameters were as follows: name: 10164+3 n: 1290611301114084388660783119477994372937028016800687221470364447812500253084007981362043316535746405003945717855762764937726394301548860221530261 skew: 2 c5: 10000 c4: 0 c3: 0 c2: 0 c1: 0 c0: 3 m: 100000000000000000000000000000000 type: snfs rlim: 3000000 alim: 3000000 lpbr: 27 lpba: 27 mfbr: 48 mfba: 48 rlambda: 2.3 alambda: 2.3 qintsize: 20000 Factor base limits: 3000000/3000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [1500000, 3560001) Primes: RFBsize:216816, AFBsize:215581, largePrimes:6043156 encountered Relations: rels:6143733, finalFF:509004 Max relations in full relation-set: 28 Initial matrix: 432461 x 509004 with sparse part having weight 61390523. Pruned matrix : 403943 x 406169 with weight 47820336. Total sieving time: 95.02 hours. Total relation processing time: 0.31 hours. Matrix solve time: 4.55 hours. Time per square root: 0.12 hours. Prototype def-par.txt line would be: snfs,164,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000 total time: 100.00 hours. --------- CPU info (if available) ---------- |
execution environment 実行環境 | XP Pro + Cygwin |
name 名前 | Wataru Sakai |
---|---|
date 日付 | March 19, 2007 12:38:18 UTC 2007 年 3 月 19 日 (月) 21 時 38 分 18 秒 (日本時間) |
composite number 合成数 | 132736610423105489203615824508115113222667697570220537023848425848655286731738276401186661570285641318884845883106196640469583<126> |
prime factors 素因数 | 979614353591462245935054061765020517<36> 135498841902904458414080769423196258648267894198367246061470273791512538221196685877755299<90> |
factorization results 素因数分解の結果 | Input number is 132736610423105489203615824508115113222667697570220537023848425848655286731738276401186661570285641318884845883106196640469583 (126 digits) Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2556236900 Step 1 took 260198ms Step 2 took 84496ms ********** Factor found in step 2: 979614353591462245935054061765020517 Found probable prime factor of 36 digits: 979614353591462245935054061765020517 Probable prime cofactor 135498841902904458414080769423196258648267894198367246061470273791512538221196685877755299 has 90 digits |
software ソフトウェア | GMP-ECM 6.1.1 |
name 名前 | matsui |
---|---|
date 日付 | June 21, 2008 22:26:04 UTC 2008 年 6 月 22 日 (日) 7 時 26 分 4 秒 (日本時間) |
composite number 合成数 | 84987014076113040368276240003085477274619465136310452297603910182168194570059311533447910927491502082842012464686661684313334515329656218133967641<146> |
prime factors 素因数 | 3324774752229019712326210320791873479173334110257<49> 25561735879742056874997330779164365467172026436929398740217995340496906772469307561544143733079913<98> |
factorization results 素因数分解の結果 | N=84987014076113040368276240003085477274619465136310452297603910182168194570059311533447910927491502082842012464686661684313334515329656218133967641 ( 146 digits) SNFS difficulty: 171 digits. Divisors found: r1=3324774752229019712326210320791873479173334110257 (pp49) r2=25561735879742056874997330779164365467172026436929398740217995340496906772469307561544143733079913 (pp98) Version: GGNFS-0.77.1-20060513-prescott Total time: 141.52 hours. Scaled time: 192.33 units (timescale=1.359). Factorization parameters were as follows: n: 84987014076113040368276240003085477274619465136310452297603910182168194570059311533447910927491502082842012464686661684313334515329656218133967641 m: 10000000000000000000000000000000000 c5: 10 c0: 3 skew: 0.79 type: snfs Factor base limits: 6000000/6000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [3000000, 8500001) Primes: RFBsize:412849, AFBsize:412801, largePrimes:6211987 encountered Relations: rels:6507104, finalFF:950866 Max relations in full relation-set: 28 Initial matrix: 825716 x 950866 with sparse part having weight 68018418. Pruned matrix : 726189 x 730381 with weight 51238543. Total sieving time: 129.70 hours. Total relation processing time: 0.16 hours. Matrix solve time: 11.39 hours. Time per square root: 0.27 hours. Prototype def-par.txt line would be: snfs,171,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,48,48,2.6,2.6,100000 total time: 141.52 hours. |
name 名前 | Wataru Sakai |
---|---|
date 日付 | December 5, 2008 12:11:43 UTC 2008 年 12 月 5 日 (金) 21 時 11 分 43 秒 (日本時間) |
composite number 合成数 | 2865413753595232129398903356928690817897991056612143717989082187335148180002496503194474860373667312145337549589856896300037556662872859812044497192419895088394199<163> |
prime factors 素因数 | 6217133466469352588076049198728375528009389334759580516393<58> 460889856884875870260428947472281235450995348075280309946390712729504236795643811044642178283027609350143<105> |
factorization results 素因数分解の結果 | Number: 10003_172 N=2865413753595232129398903356928690817897991056612143717989082187335148180002496503194474860373667312145337549589856896300037556662872859812044497192419895088394199 ( 163 digits) SNFS difficulty: 172 digits. Divisors found: r1=6217133466469352588076049198728375528009389334759580516393 (pp58) r2=460889856884875870260428947472281235450995348075280309946390712729504236795643811044642178283027609350143 (pp105) Version: GGNFS-0.77.1-20060722-nocona Total time: 103.49 hours. Scaled time: 208.53 units (timescale=2.015). Factorization parameters were as follows: n: 2865413753595232129398903356928690817897991056612143717989082187335148180002496503194474860373667312145337549589856896300037556662872859812044497192419895088394199 m: 20000000000000000000000000000000000 deg: 5 c5: 25 c0: 24 skew: 0.99 type: snfs lss: 1 rlim: 5300000 alim: 5300000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 5300000/5300000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved rational special-q in [2650000, 5550001) Primes: RFBsize:367900, AFBsize:368047, largePrimes:10352551 encountered Relations: rels:11115160, finalFF:896590 Max relations in full relation-set: 32 Initial matrix: 736012 x 896590 with sparse part having weight 113714104. Pruned matrix : 642276 x 646020 with weight 89259004. Total sieving time: 98.38 hours. Total relation processing time: 0.16 hours. Matrix solve time: 4.75 hours. Time per square root: 0.20 hours. Prototype def-par.txt line would be: snfs,172,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,52,52,2.4,2.4,100000 total time: 103.49 hours. --------- CPU info (if available) ---------- |
name 名前 | Wataru Sakai |
---|---|
date 日付 | March 20, 2007 12:19:54 UTC 2007 年 3 月 20 日 (火) 21 時 19 分 54 秒 (日本時間) |
composite number 合成数 | 308484759597667988554116646354967725673861774044500348263230511188620543476548755683045184539707054373857537220569851298862133916604153856884206796338417003<156> |
prime factors 素因数 | 4654165597283817538340682232414823<34> 66281431794713202969955544003490886754601337940508012963182198582216786419780605860128839549004095099134596062756894253661<122> |
factorization results 素因数分解の結果 | Input number is 308484759597667988554116646354967725673861774044500348263230511188620543476548755683045184539707054373857537220569851298862133916604153856884206796338417003 (156 digits) Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3230671133 Step 1 took 411971ms Step 2 took 119043ms ********** Factor found in step 2: 4654165597283817538340682232414823 Found probable prime factor of 34 digits: 4654165597283817538340682232414823 Probable prime cofactor 66281431794713202969955544003490886754601337940508012963182198582216786419780605860128839549004095099134596062756894253661 has 122 digits |
software ソフトウェア | GMP-ECM 6.1.1 |
name 名前 | Wataru Sakai |
---|---|
date 日付 | December 3, 2008 14:52:47 UTC 2008 年 12 月 3 日 (水) 23 時 52 分 47 秒 (日本時間) |
composite number 合成数 | 1574199553166367063490716266281627928450579326253662047596012772199672959419105319917606262631145066135089965093226907594743043359813<133> |
prime factors 素因数 | 291422925891151054317621660625168167319857245759119095307699<60> 5401769776185501645973607904479822156071281325941785500003058562905410087<73> |
factorization results 素因数分解の結果 | Number: 10003_174 N=1574199553166367063490716266281627928450579326253662047596012772199672959419105319917606262631145066135089965093226907594743043359813 ( 133 digits) SNFS difficulty: 174 digits. Divisors found: r1=291422925891151054317621660625168167319857245759119095307699 (pp60) r2=5401769776185501645973607904479822156071281325941785500003058562905410087 (pp73) Version: GGNFS-0.77.1-20060722-nocona Total time: 123.13 hours. Scaled time: 229.88 units (timescale=1.867). Factorization parameters were as follows: n: 1574199553166367063490716266281627928450579326253662047596012772199672959419105319917606262631145066135089965093226907594743043359813 m: 50000000000000000000000000000000000 deg: 5 c5: 16 c0: 15 skew: 0.99 type: snfs lss: 1 rlim: 5700000 alim: 5700000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 5700000/5700000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved rational special-q in [2850000, 6150001) Primes: RFBsize:393606, AFBsize:392152, largePrimes:10860781 encountered Relations: rels:12760960, finalFF:1797557 Max relations in full relation-set: 32 Initial matrix: 785822 x 1797557 with sparse part having weight 242784055. Pruned matrix : 532971 x 536964 with weight 124499580. Total sieving time: 117.44 hours. Total relation processing time: 0.19 hours. Matrix solve time: 5.32 hours. Time per square root: 0.18 hours. Prototype def-par.txt line would be: snfs,174,5,0,0,0,0,0,0,0,0,5700000,5700000,27,27,52,52,2.4,2.4,100000 total time: 123.13 hours. --------- CPU info (if available) ---------- |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
20 | 11e3 | 74 | Justin Card | September 27, 2008 02:20:43 UTC 2008 年 9 月 27 日 (土) 11 時 20 分 43 秒 (日本時間) | |
25 | 5e4 | 214 | Justin Card | September 27, 2008 02:23:42 UTC 2008 年 9 月 27 日 (土) 11 時 23 分 42 秒 (日本時間) |
name 名前 | Jo Yeong Uk |
---|---|
date 日付 | April 19, 2008 23:56:49 UTC 2008 年 4 月 20 日 (日) 8 時 56 分 49 秒 (日本時間) |
composite number 合成数 | 496113717995766066307880533236915285953249517566617777967182970559272467092653056911337880281707260262099853899471187426851132992261767060817439627549571806730566444287<168> |
prime factors 素因数 | 84605989629414611161564159889389410528733<41> 5863813190635906011331311978267233281067998931182925784006119151460092105536944514992383719950101352924989857277216412589708939<127> |
factorization results 素因数分解の結果 | Number: 10003_175 N=496113717995766066307880533236915285953249517566617777967182970559272467092653056911337880281707260262099853899471187426851132992261767060817439627549571806730566444287 ( 168 digits) SNFS difficulty: 175 digits. Divisors found: r1=84605989629414611161564159889389410528733 (pp41) r2=5863813190635906011331311978267233281067998931182925784006119151460092105536944514992383719950101352924989857277216412589708939 (pp127) Version: GGNFS-0.77.1-20050930-nocona Total time: 105.85 hours. Scaled time: 226.62 units (timescale=2.141). Factorization parameters were as follows: n: 496113717995766066307880533236915285953249517566617777967182970559272467092653056911337880281707260262099853899471187426851132992261767060817439627549571806730566444287 m: 100000000000000000000000000000000000 c5: 1 c0: 3 skew: 1.25 type: snfs Factor base limits: 8400000/8400000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 50/50 Sieved algebraic special-q in [4200000, 6000001) Primes: RFBsize:564877, AFBsize:564406, largePrimes:10850911 encountered Relations: rels:11119170, finalFF:1442537 Max relations in full relation-set: 28 Initial matrix: 1129347 x 1442537 with sparse part having weight 89062627. Pruned matrix : 837022 x 842732 with weight 50559156. Total sieving time: 100.83 hours. Total relation processing time: 0.17 hours. Matrix solve time: 4.76 hours. Time per square root: 0.09 hours. Prototype def-par.txt line would be: snfs,175,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,50,50,2.6,2.6,100000 total time: 105.85 hours. --------- CPU info (if available) ---------- |
execution environment 実行環境 | Core 2 Quad Q6600 |
name 名前 | Wataru Sakai |
---|---|
date 日付 | February 25, 2007 02:31:55 UTC 2007 年 2 月 25 日 (日) 11 時 31 分 55 秒 (日本時間) |
composite number 合成数 | 73899063419641529828496341148830177925657488052756906974776261849315595920978010402274264834644374302972040474461993306960437315299699372612680703369<149> |
prime factors 素因数 | 4569709099059178801353087954144739<34> |
composite cofactor 合成数の残り | 16171502784467401319287662621859897744129487788677630030766407486502790213752219467024595149277155013321436626027171<116> |
factorization results 素因数分解の結果 | Input number is 73899063419641529828496341148830177925657488052756906974776261849315595920978010402274264834644374302972040474461993306960437315299699372612680703369 (149 digits) Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2589698603 Step 1 took 377225ms Step 2 took 111132ms ********** Factor found in step 2: 4569709099059178801353087954144739 Found probable prime factor of 34 digits: 4569709099059178801353087954144739 Composite cofactor 16171502784467401319287662621859897744129487788677630030766407486502790213752219467024595149277155013321436626027171 has 116 digits |
software ソフトウェア | GMP-ECM 6.1.1 |
name 名前 | Jo Yeong Uk |
---|---|
date 日付 | February 26, 2007 23:36:17 UTC 2007 年 2 月 27 日 (火) 8 時 36 分 17 秒 (日本時間) |
composite number 合成数 | 16171502784467401319287662621859897744129487788677630030766407486502790213752219467024595149277155013321436626027171<116> |
prime factors 素因数 | 841050813852720381404892919400005717849954152346218888253<57> 19227735730244777938096884405431184217580235872014168819807<59> |
factorization results 素因数分解の結果 | Number: 10003_178 N=16171502784467401319287662621859897744129487788677630030766407486502790213752219467024595149277155013321436626027171 ( 116 digits) Divisors found: r1=841050813852720381404892919400005717849954152346218888253 (pp57) r2=19227735730244777938096884405431184217580235872014168819807 (pp59) Version: GGNFS-0.77.1-20050930-k8 Total time: 31.02 hours. Scaled time: 28.04 units (timescale=0.904). Factorization parameters were as follows: name: 10003_178 n: 16171502784467401319287662621859897744129487788677630030766407486502790213752219467024595149277155013321436626027171 skew: 59320.44 # norm 8.29e+15 c5: 18360 c4: -5896211018 c3: -169978952505995 c2: 19216375200484044757 c1: 295044772439832950255035 c0: -5091579523182641313914445475 # alpha -6.33 Y1: 648790286489 Y0: -15451715806320998022694 # Murphy_E 5.24e-10 # M 2075202453831472643899126093394648510121006128741731540160248918241614765343065675054342930282131187537282500185585 type: gnfs rlim: 3600000 alim: 3600000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4 qintsize: 75000 Factor base limits: 3600000/3600000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved algebraic special-q in [1800000, 3075001) Primes: RFBsize:256726, AFBsize:257167, largePrimes:7603714 encountered Relations: rels:7597769, finalFF:672489 Max relations in full relation-set: 28 Initial matrix: 513974 x 672489 with sparse part having weight 59145054. Pruned matrix : 388056 x 390689 with weight 34744662. Total sieving time: 29.17 hours. Total relation processing time: 0.17 hours. Matrix solve time: 1.52 hours. Time per square root: 0.16 hours. Prototype def-par.txt line would be: gnfs,115,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3600000,3600000,27,27,50,50,2.4,2.4,75000 total time: 31.02 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 CPU 6300 @ 1.86GHz stepping 06 Intel(R) Core(TM)2 CPU 6300 @ 1.86GHz stepping 06 Memory: 4037276k/5242880k available (2106k kernel code, 0k reserved, 1297k data, 196k init) Calibrating delay using timer specific routine.. 4671.63 BogoMIPS (lpj=2335816) Calibrating delay using timer specific routine.. 4668.47 BogoMIPS (lpj=2334238) Total of 2 processors activated (9340.10 BogoMIPS). |
execution environment 実行環境 | Core 2 Duo E6300@2.33GHz |
name 名前 | Wataru Sakai |
---|---|
date 日付 | February 24, 2007 02:34:20 UTC 2007 年 2 月 24 日 (土) 11 時 34 分 20 秒 (日本時間) |
composite number 合成数 | 42003791447297655291416291273275632634644525719548868502439834260598910516155743017777543121247748961985735552658758406037381585659142026209<140> |
prime factors 素因数 | 77061435151581887669779157560546231<35> 545068896844122913071888795078742584270297590744667404658731433888121502839542622364777079658746154067239<105> |
factorization results 素因数分解の結果 | Input number is 42003791447297655291416291273275632634644525719548868502439834260598910516155743017777543121247748961985735552658758406037381585659142026209 (140 digits) Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=957255829 Step 1 took 347925ms Step 2 took 42891ms ********** Factor found in step 2: 77061435151581887669779157560546231 Found probable prime factor of 35 digits: 77061435151581887669779157560546231 Probable prime cofactor 545068896844122913071888795078742584270297590744667404658731433888121502839542622364777079658746154067239 has 105 digits |
software ソフトウェア | GMP-ECM 6.1.1 |
name 名前 | Robert Backstrom |
---|---|
date 日付 | March 2, 2008 22:58:46 UTC 2008 年 3 月 3 日 (月) 7 時 58 分 46 秒 (日本時間) |
composite number 合成数 | 6622516556291390728476821192052980132450331125827814569536423841059602649006622516556291390728476821192052980132450331125827814569536423841059602649006622516556291390728476821192053<181> |
prime factors 素因数 | 6020764512776596637935748594527916970455883912337190641386916348913598221840340985957<85> 1099946118510003646349468098078650177107070925385139448756306534652901227896353302429603211134929<97> |
factorization results 素因数分解の結果 | Number: n N=6622516556291390728476821192052980132450331125827814569536423841059602649006622516556291390728476821192052980132450331125827814569536423841059602649006622516556291390728476821192053 ( 181 digits) SNFS difficulty: 183 digits. Divisors found: Mon Mar 03 02:33:02 2008 prp85 factor: 6020764512776596637935748594527916970455883912337190641386916348913598221840340985957 Mon Mar 03 02:33:02 2008 prp97 factor: 1099946118510003646349468098078650177107070925385139448756306534652901227896353302429603211134929 Mon Mar 03 02:33:02 2008 elapsed time 01:55:13 (Msieve 1.33) Version: GGNFS-0.77.1-20050930-k8 Total time: 267.26 hours. [ CPU 1 of 4 ] Scaled time: 225.03 units (timescale=0.842). Factorization parameters were as follows: name: KA_1_0_182_3 n: 6622516556291390728476821192052980132450331125827814569536423841059602649006622516556291390728476821192052980132450331125827814569536423841059602649006622516556291390728476821192053 type: snfs deg: 5 c5: 1000 c0: 3 skew: 0.31 m: 1000000000000000000000000000000000000 rlim: 8000000 alim: 8000000 lbpr: 28 lbpa: 28 mbpr: 48 mbpa: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 8000000/8000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved special-q in [100000, 18522211) Primes: RFBsize:539777, AFBsize:539335, largePrimes:5050824 encountered Relations: rels:4702361, finalFF:450163 Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Total sieving time: 267.12 hours. Total relation processing time: 0.13 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,183,5,0,0,0,0,0,0,0,0,8000000,8000000,27,27,48,48,2.5,2.5,100000 total time: 267.26 hours. --------- CPU info (if available) ---------- CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03 CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03 Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM) Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888) Calibrating delay loop... 6029.31 BogoMIPS (lpj=3014656) Total of 2 processors activated (11993.08 BogoMIPS). |
name 名前 | Robert Backstrom |
---|---|
date 日付 | April 22, 2008 15:54:09 UTC 2008 年 4 月 23 日 (水) 0 時 54 分 9 秒 (日本時間) |
composite number 合成数 | 1428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571429<184> |
prime factors 素因数 | 9818100172727968626557779746645595165748218531909597522519996742899<67> 145503855474974097626225854491524811807124225128548763972026441569570512183910306970186124416727300719805279405934471<117> |
factorization results 素因数分解の結果 | Number: n N=1428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571429 ( 184 digits) SNFS difficulty: 185 digits. Divisors found: Wed Apr 23 01:45:47 2008 prp67 factor: 9818100172727968626557779746645595165748218531909597522519996742899 Wed Apr 23 01:45:47 2008 prp117 factor: 145503855474974097626225854491524811807124225128548763972026441569570512183910306970186124416727300719805279405934471 Wed Apr 23 01:45:47 2008 elapsed time 03:35:36 (Msieve 1.34) Version: GGNFS-0.77.1-20060513-athlon-xp Total time: 75.46 hours. Scaled time: 97.80 units (timescale=1.296). Factorization parameters were as follows: name: KA_1_0_183_3 n: 1428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571429 skew: 1.97 deg: 5 c5: 1 c0: 30 m: 10000000000000000000000000000000000000 type: snfs rlim: 7000000 alim: 7000000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 7000000/7000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved special-q in [100000, 4699990) Primes: RFBsize:476648, AFBsize:475219, largePrimes:9263849 encountered Relations: rels:9010978, finalFF:1072839 Max relations in full relation-set: 28 Initial matrix: 951931 x 1072839 with sparse part having weight 55004411. Pruned matrix : Total sieving time: 75.09 hours. Total relation processing time: 0.37 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,185,5,0,0,0,0,0,0,0,0,7000000,7000000,28,28,48,48,2.5,2.5,100000 total time: 75.46 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3200+ |
name 名前 | Wataru Sakai |
---|---|
date 日付 | December 3, 2008 14:52:00 UTC 2008 年 12 月 3 日 (水) 23 時 52 分 0 秒 (日本時間) |
composite number 合成数 | 7656146534357225538056752104923507057167910241787998086882103994816482550378784021714056554882588782015038049899853775257340311349448654091548065938715150082292091024538638695803<178> |
prime factors 素因数 | 14664279305141722711057404987986284967512862293<47> 522094974805393808120588312898179627396251001923170837778218768489811574700366797020490210824166469329055959469753995440922219261071<132> |
factorization results 素因数分解の結果 | Number: 10003_185 N=7656146534357225538056752104923507057167910241787998086882103994816482550378784021714056554882588782015038049899853775257340311349448654091548065938715150082292091024538638695803 ( 178 digits) SNFS difficulty: 185 digits. Divisors found: r1=14664279305141722711057404987986284967512862293 r2=522094974805393808120588312898179627396251001923170837778218768489811574700366797020490210824166469329055959469753995440922219261071 Version: Total time: 236.49 hours. Scaled time: 475.81 units (timescale=2.012). Factorization parameters were as follows: n: 7656146534357225538056752104923507057167910241787998086882103994816482550378784021714056554882588782015038049899853775257340311349448654091548065938715150082292091024538638695803 m: 10000000000000000000000000000000000000 deg: 5 c5: 1 c0: 3 skew: 1.25 type: snfs lss: 1 rlim: 8500000 alim: 8500000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 Factor base limits: 8500000/8500000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 54/54 Sieved rational special-q in [4250000, 6450001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 1408605 x 1408853 Total sieving time: 236.49 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,185,5,0,0,0,0,0,0,0,0,8500000,8500000,28,28,54,54,2.5,2.5,100000 total time: 236.49 hours. --------- CPU info (if available) ---------- |
name 名前 | Wataru Sakai |
---|---|
date 日付 | January 6, 2009 14:08:57 UTC 2009 年 1 月 6 日 (火) 23 時 8 分 57 秒 (日本時間) |
composite number 合成数 | 205248297644156261196720985253614172077029245438613226830452987675960883098054087210769404046438306485121986264348749244919350699056988552234916435950184757<156> |
prime factors 素因数 | 302326156316901099415054234018340088084227443035320038122354865868161<69> 678896924250950617425559235848387983568344761375171256368612766118378019400194027494837<87> |
factorization results 素因数分解の結果 | Number: 10003_189 N=205248297644156261196720985253614172077029245438613226830452987675960883098054087210769404046438306485121986264348749244919350699056988552234916435950184757 ( 156 digits) SNFS difficulty: 189 digits. Divisors found: r1=302326156316901099415054234018340088084227443035320038122354865868161 r2=678896924250950617425559235848387983568344761375171256368612766118378019400194027494837 Version: Total time: 342.40 hours. Scaled time: 599.54 units (timescale=1.751). Factorization parameters were as follows: n: 205248297644156261196720985253614172077029245438613226830452987675960883098054087210769404046438306485121986264348749244919350699056988552234916435950184757 m: 50000000000000000000000000000000000000 deg: 5 c5: 16 c0: 15 skew: 0.99 type: snfs lss: 1 rlim: 10200000 alim: 10200000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5Factor base limits: 10200000/10200000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 54/54 Sieved rational special-q in [5100000, 8700001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 1273208 x 1273456 Total sieving time: 342.40 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,189,5,0,0,0,0,0,0,0,0,10200000,10200000,28,28,54,54,2.5,2.5,100000 total time: 342.40 hours. --------- CPU info (if available) ---------- |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | December 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 400 / 2336 | Serge Batalov | December 14, 2008 00:10:36 UTC 2008 年 12 月 14 日 (日) 9 時 10 分 36 秒 (日本時間) |
name 名前 | Wataru Sakai |
---|---|
date 日付 | February 27, 2007 14:16:29 UTC 2007 年 2 月 27 日 (火) 23 時 16 分 29 秒 (日本時間) |
composite number 合成数 | 5438732653241028634256198413548026554931134835222274474373813870849955494912887669720006287148827254737003195162621680572493377204369<133> |
prime factors 素因数 | 655722163172284079918744219522347<33> |
composite cofactor 合成数の残り | 8294263879886669337889452986894589163143089933573829537603544076933357431118781123536752128389983027<100> |
factorization results 素因数分解の結果 | Input number is 5438732653241028634256198413548026554931134835222274474373813870849955494912887669720006287148827254737003195162621680572493377204369 (133 digits) Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3132901734 Step 1 took 307230ms Step 2 took 95316ms ********** Factor found in step 2: 655722163172284079918744219522347 Found probable prime factor of 33 digits: 655722163172284079918744219522347 Composite cofactor 8294263879886669337889452986894589163143089933573829537603544076933357431118781123536752128389983027 has 100 digits |
software ソフトウェア | GMP-ECM 6.1.1 |
name 名前 | Shaopu Lin |
---|---|
date 日付 | March 1, 2007 07:17:58 UTC 2007 年 3 月 1 日 (木) 16 時 17 分 58 秒 (日本時間) |
composite number 合成数 | 8294263879886669337889452986894589163143089933573829537603544076933357431118781123536752128389983027<100> |
prime factors 素因数 | 623346172585568150454866799443866912070379169<45> 13306031615599752194914775123337309874878370542863648083<56> |
factorization results 素因数分解の結果 | Wed Feb 28 11:34:08 2007 Wed Feb 28 11:34:08 2007 Wed Feb 28 11:34:08 2007 Msieve v. 1.16 Wed Feb 28 11:34:08 2007 random seeds: fd3e5e78 9c85d5b5 Wed Feb 28 11:34:08 2007 factoring 8294263879886669337889452986894589163143089933573829537603544076933357431118781123536752128389983027 (100 digits) Wed Feb 28 11:34:08 2007 using multiplier of 3 Wed Feb 28 11:34:08 2007 sieve interval: 9 blocks of size 65536 Wed Feb 28 11:34:08 2007 processing polynomials in batches of 6 Wed Feb 28 11:34:08 2007 using a sieve bound of 2751557 (99744 primes) Wed Feb 28 11:34:08 2007 using large prime bound of 412733550 (28 bits) Wed Feb 28 11:34:08 2007 using double large prime bound of 3222593841584400 (43-52 bits) Wed Feb 28 11:34:08 2007 using trial factoring cutoff of 57 bits Wed Feb 28 11:34:08 2007 polynomial 'A' values have 13 factors Wed Feb 28 13:55:54 2007 3251 relations (2946 full + 305 combined from 185074 partial), need 99840 Wed Feb 28 13:55:54 2007 elapsed time 02:21:46 Wed Feb 28 20:46:51 2007 Wed Feb 28 20:46:51 2007 Wed Feb 28 20:46:51 2007 Msieve v. 1.16 Wed Feb 28 20:46:51 2007 random seeds: 6c76c7ad 23a675ba Wed Feb 28 20:46:51 2007 factoring 8294263879886669337889452986894589163143089933573829537603544076933357431118781123536752128389983027 (100 digits) Wed Feb 28 20:46:51 2007 using multiplier of 3 Wed Feb 28 20:46:51 2007 sieve interval: 9 blocks of size 65536 Wed Feb 28 20:46:51 2007 processing polynomials in batches of 6 Wed Feb 28 20:46:51 2007 using a sieve bound of 2751557 (99744 primes) Wed Feb 28 20:46:51 2007 using large prime bound of 412733550 (28 bits) Wed Feb 28 20:46:51 2007 using double large prime bound of 3222593841584400 (43-52 bits) Wed Feb 28 20:46:51 2007 using trial factoring cutoff of 57 bits Wed Feb 28 20:46:51 2007 polynomial 'A' values have 13 factors Wed Feb 28 20:46:52 2007 restarting with 2946 full and 185074 partial relations Wed Feb 28 21:53:31 2007 4826 relations (4151 full + 675 combined from 263698 partial), need 99840 Wed Feb 28 21:53:31 2007 elapsed time 01:06:40 Wed Feb 28 22:39:39 2007 Wed Feb 28 22:39:39 2007 Wed Feb 28 22:39:39 2007 Msieve v. 1.16 Wed Feb 28 22:39:39 2007 random seeds: 101005eb 187da084 Wed Feb 28 22:39:39 2007 factoring 8294263879886669337889452986894589163143089933573829537603544076933357431118781123536752128389983027 (100 digits) Wed Feb 28 22:39:40 2007 using multiplier of 3 Wed Feb 28 22:39:40 2007 sieve interval: 9 blocks of size 65536 Wed Feb 28 22:39:40 2007 processing polynomials in batches of 6 Wed Feb 28 22:39:40 2007 using a sieve bound of 2751557 (99744 primes) Wed Feb 28 22:39:40 2007 using large prime bound of 412733550 (28 bits) Wed Feb 28 22:39:40 2007 using double large prime bound of 3222593841584400 (43-52 bits) Wed Feb 28 22:39:40 2007 using trial factoring cutoff of 57 bits Wed Feb 28 22:39:40 2007 polynomial 'A' values have 13 factors Wed Feb 28 22:39:40 2007 restarting with 4151 full and 263698 partial relations Thu Mar 1 02:26:09 2007 12719 relations (8672 full + 4047 combined from 550728 partial), need 99840 Thu Mar 1 02:26:09 2007 elapsed time 03:46:30 Thu Mar 1 02:40:22 2007 Thu Mar 1 02:40:22 2007 Thu Mar 1 02:40:22 2007 Msieve v. 1.16 Thu Mar 1 02:40:22 2007 random seeds: e3b4d815 047781cd Thu Mar 1 02:40:22 2007 factoring 8294263879886669337889452986894589163143089933573829537603544076933357431118781123536752128389983027 (100 digits) Thu Mar 1 02:40:22 2007 using multiplier of 3 Thu Mar 1 02:40:22 2007 sieve interval: 9 blocks of size 65536 Thu Mar 1 02:40:22 2007 processing polynomials in batches of 6 Thu Mar 1 02:40:22 2007 using a sieve bound of 2751557 (99744 primes) Thu Mar 1 02:40:22 2007 using large prime bound of 412733550 (28 bits) Thu Mar 1 02:40:22 2007 using double large prime bound of 3222593841584400 (43-52 bits) Thu Mar 1 02:40:22 2007 using trial factoring cutoff of 57 bits Thu Mar 1 02:40:22 2007 polynomial 'A' values have 13 factors Thu Mar 1 02:40:25 2007 restarting with 8672 full and 550728 partial relations Thu Mar 1 07:20:08 2007 30190 relations (14336 full + 15854 combined from 903383 partial), need 99840 Thu Mar 1 07:20:08 2007 elapsed time 04:39:46 Thu Mar 1 07:30:56 2007 Thu Mar 1 07:30:56 2007 Thu Mar 1 07:30:56 2007 Msieve v. 1.16 Thu Mar 1 07:30:56 2007 random seeds: 38d2b3b4 69611d54 Thu Mar 1 07:30:56 2007 factoring 8294263879886669337889452986894589163143089933573829537603544076933357431118781123536752128389983027 (100 digits) Thu Mar 1 07:30:57 2007 using multiplier of 3 Thu Mar 1 07:30:57 2007 sieve interval: 9 blocks of size 65536 Thu Mar 1 07:30:57 2007 processing polynomials in batches of 6 Thu Mar 1 07:30:57 2007 using a sieve bound of 2751557 (99744 primes) Thu Mar 1 07:30:57 2007 using large prime bound of 412733550 (28 bits) Thu Mar 1 07:30:57 2007 using double large prime bound of 3222593841584400 (43-52 bits) Thu Mar 1 07:30:57 2007 using trial factoring cutoff of 57 bits Thu Mar 1 07:30:57 2007 polynomial 'A' values have 13 factors Thu Mar 1 07:31:00 2007 restarting with 14336 full and 903383 partial relations Thu Mar 1 15:05:37 2007 100015 relations (23609 full + 76406 combined from 1496872 partial), need 99840 Thu Mar 1 15:05:39 2007 begin with 1520481 relations Thu Mar 1 15:05:42 2007 reduce to 264112 relations in 11 passes Thu Mar 1 15:05:42 2007 attempting to read 264112 relations Thu Mar 1 15:05:46 2007 recovered 264112 relations Thu Mar 1 15:05:46 2007 recovered 255700 polynomials Thu Mar 1 15:05:47 2007 attempting to build 100015 cycles Thu Mar 1 15:05:47 2007 found 100015 cycles in 6 passes Thu Mar 1 15:05:47 2007 distribution of cycle lengths: Thu Mar 1 15:05:47 2007 length 1 : 23609 Thu Mar 1 15:05:47 2007 length 2 : 17124 Thu Mar 1 15:05:47 2007 length 3 : 16634 Thu Mar 1 15:05:47 2007 length 4 : 13670 Thu Mar 1 15:05:47 2007 length 5 : 10309 Thu Mar 1 15:05:47 2007 length 6 : 7296 Thu Mar 1 15:05:47 2007 length 7 : 4705 Thu Mar 1 15:05:47 2007 length 9+: 6668 Thu Mar 1 15:05:47 2007 largest cycle: 23 relations Thu Mar 1 15:05:48 2007 matrix is 99744 x 100015 with weight 6892518 (avg 68.91/col) Thu Mar 1 15:05:49 2007 filtering completed in 3 passes Thu Mar 1 15:05:49 2007 matrix is 98293 x 98357 with weight 6706543 (avg 68.19/col) Thu Mar 1 15:05:51 2007 saving the first 48 matrix rows for later Thu Mar 1 15:05:51 2007 matrix is 98245 x 98357 with weight 5288937 (avg 53.77/col) Thu Mar 1 15:05:51 2007 matrix includes 32 packed rows Thu Mar 1 15:12:18 2007 lanczos halted after 1555 iterations Thu Mar 1 15:12:18 2007 recovered 15 nontrivial dependencies Thu Mar 1 15:12:20 2007 prp45 factor: 623346172585568150454866799443866912070379169 Thu Mar 1 15:12:20 2007 prp56 factor: 13306031615599752194914775123337309874878370542863648083 Thu Mar 1 15:12:21 2007 elapsed time 07:41:25 |
software ソフトウェア | Msieve-1.16 |
execution environment 実行環境 | Pentium4 2.80GHz PC, Fedora Core6 |
name 名前 | Tyler Cadigan |
---|---|
date 日付 | September 26, 2009 03:12:52 UTC 2009 年 9 月 26 日 (土) 12 時 12 分 52 秒 (日本時間) |
composite number 合成数 | 4158535275088413824378355739836501505392291656144512892575213767449847733859690592784109621148873117954270828493388445606731856649315069<136> |
prime factors 素因数 | 7588861276621421644017922022901115597982312020844439616721880396337<67> 547978823634499643594275398528213777607811823908668830812226219613837<69> |
factorization results 素因数分解の結果 | Number: 10003_194 N=4158535275088413824378355739836501505392291656144512892575213767449847733859690592784109621148873117954270828493388445606731856649315069 ( 136 digits) Divisors found: r1=7588861276621421644017922022901115597982312020844439616721880396337 (pp67) r2=547978823634499643594275398528213777607811823908668830812226219613837 (pp69) Version: Msieve v. 1.42 Total time: 339.26 hours. Scaled time: 843.06 units (timescale=2.485). Factorization parameters were as follows: # Murphy_E = 3.450591e-11, selected by Jeff Gilchrist n: 4158535275088413824378355739836501505392291656144512892575213767449847733859690592784109621148873117954270828493388445606731856649315069 Y0: -144086758106095012795679247 Y1: 1263192996076717 c0: 5480555000941595632576275173174560 c1: 244004651297638614588297790208 c2: -157910048756582916016798 c3: -234900742537823939 c4: 80808230616 c5: 66960 skew: 1322167.18 type: gnfs # selected mechanically rlim: 13900000 alim: 13900000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.6 alambda: 2.6 Factor base limits: 13900000/13900000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved algebraic special-q in [6950000, 11350001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 1992546 x 1992771 Total sieving time: 329.61 hours. Total relation processing time: 0.54 hours. Matrix solve time: 8.55 hours. Time per square root: 0.56 hours. Prototype def-par.txt line would be: gnfs,135,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,13900000,13900000,28,28,55,55,2.6,2.6,100000 total time: 339.26 hours. --------- CPU info (if available) ---------- |
software ソフトウェア | GGNFS, Msieve |
execution environment 実行環境 | C2Q Q660 2.4GHz, Windows Vista, 3 GB RAM |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | December 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 956 | 400 | Serge Batalov | December 14, 2008 00:10:50 UTC 2008 年 12 月 14 日 (日) 9 時 10 分 50 秒 (日本時間) |
556 | Wataru Sakai | July 28, 2009 12:29:42 UTC 2009 年 7 月 28 日 (火) 21 時 29 分 42 秒 (日本時間) | |||
45 | 11e6 | 400 / 4268 | Serge Batalov | January 16, 2009 05:11:08 UTC 2009 年 1 月 16 日 (金) 14 時 11 分 8 秒 (日本時間) |
name 名前 | Wataru Sakai |
---|---|
date 日付 | December 28, 2008 09:02:36 UTC 2008 年 12 月 28 日 (日) 18 時 2 分 36 秒 (日本時間) |
composite number 合成数 | 374219046080813346453326646441267156034345085487650370040062476729896969884729327545583720587165323414765099952683896438559950257399288091712019285405489339<156> |
prime factors 素因数 | 20272161969880531371430224661237837143004245314829323956717291302611671<71> 18459750205074881191572660444812378965121433733944512974732242794281011685914941573309<86> |
factorization results 素因数分解の結果 | Number: 10003_195 N=374219046080813346453326646441267156034345085487650370040062476729896969884729327545583720587165323414765099952683896438559950257399288091712019285405489339 ( 156 digits) SNFS difficulty: 195 digits. Divisors found: r1=20272161969880531371430224661237837143004245314829323956717291302611671 r2=18459750205074881191572660444812378965121433733944512974732242794281011685914941573309 Version: Total time: 436.80 hours. Scaled time: 880.16 units (timescale=2.015). Factorization parameters were as follows: n: 374219046080813346453326646441267156034345085487650370040062476729896969884729327545583720587165323414765099952683896438559950257399288091712019285405489339 m: 1000000000000000000000000000000000000000 deg: 5 c5: 1 c0: 3 skew: 1.25 type: snfs lss: 1 rlim: 12400000 alim: 12400000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5Factor base limits: 12400000/12400000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved rational special-q in [6200000, 10500001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 2156382 x 2156628 Total sieving time: 436.80 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,195,5,0,0,0,0,0,0,0,0,12400000,12400000,28,28,55,55,2.5,2.5,100000 total time: 436.80 hours. --------- CPU info (if available) ---------- |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | December 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 400 / 2336 | Serge Batalov | December 14, 2008 00:11:23 UTC 2008 年 12 月 14 日 (日) 9 時 11 分 23 秒 (日本時間) |
name 名前 | Wataru Sakai |
---|---|
date 日付 | December 9, 2008 13:28:39 UTC 2008 年 12 月 9 日 (火) 22 時 28 分 39 秒 (日本時間) |
composite number 合成数 | 1428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571429<196> |
prime factors 素因数 | 2752508262761669324008667413574517577856587387092720436281875809<64> 519007135382076014806320192315848747738324564942772903565586965269516034842355760568492424090789108493561735010406846967181255450181<132> |
factorization results 素因数分解の結果 | Number: 10003_196 N=1428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571429 ( 196 digits) SNFS difficulty: 196 digits. Divisors found: r1=2752508262761669324008667413574517577856587387092720436281875809 r2=519007135382076014806320192315848747738324564942772903565586965269516034842355760568492424090789108493561735010406846967181255450181 Version: Total time: 642.69 hours. Scaled time: 1295.02 units (timescale=2.015). Factorization parameters were as follows: n: 1428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571429 m: 1000000000000000000000000000000000000000 deg: 5 c5: 10 c0: 3 skew: 0.79 type: snfs lss: 1 rlim: 12900000 alim: 12900000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5Factor base limits: 12900000/12900000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved rational special-q in [6450000, 13550001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 1916050 x 1916298 Total sieving time: 642.69 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,196,5,0,0,0,0,0,0,0,0,12900000,12900000,28,28,55,55,2.5,2.5,100000 total time: 642.69 hours. --------- CPU info (if available) ---------- |
name 名前 | suberi |
---|---|
date 日付 | March 8, 2007 01:17:20 UTC 2007 年 3 月 8 日 (木) 10 時 17 分 20 秒 (日本時間) |
composite number 合成数 | 218383891428096791061040109046208335081803757951946282406678379728478136794245394981343775150464888988806547762697936595186834068206118456518568389302562185275101<162> |
prime factors 素因数 | 1506740400796917587901655344160313161129<40> 144937967623748042799512511778911106094684897095036555622767428355565706896710086626493506929331448785972737501085874126869<123> |
factorization results 素因数分解の結果 | Input number is 218383891428096791061040109046208335081803757951946282406678379728478136794245394981343775150464888988806547762697936595186834068206118456518568389302562185275101 (162 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3094257630 Step 1 took 26938ms Step 2 took 18953ms ********** Factor found in step 2: 1506740400796917587901655344160313161129 Found probable prime factor of 40 digits: 1506740400796917587901655344160313161129 Probable prime cofactor 144937967623748042799512511778911106094684897095036555622767428355565706896710086626493506929331448785972737501085874126869 has 123 digits |
software ソフトウェア | GMP-ECM 6.1.2 |
execution environment 実行環境 | Pentium 4 2.26GHz, Windows XP and Cygwin |
name 名前 | Wataru Sakai |
---|---|
date 日付 | February 22, 2007 14:27:42 UTC 2007 年 2 月 22 日 (木) 23 時 27 分 42 秒 (日本時間) |
composite number 合成数 | 11658292768317820781554389954230436794449000313821548811563233466427335134152895851328952839749423751087120161554182716468331<125> |
prime factors 素因数 | 16093036459190114862200718359175889466551<41> 724430892695841602220008780254282449815290128891715782166558993784367540920500492781<84> |
factorization results 素因数分解の結果 | Input number is 11658292768317820781554389954230436794449000313821548811563233466427335134152895851328952839749423751087120161554182716468331 (125 digits) Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4230666473 Step 1 took 252859ms Step 2 took 85308ms ********** Factor found in step 2: 16093036459190114862200718359175889466551 Found probable prime factor of 41 digits: 16093036459190114862200718359175889466551 Probable prime cofactor 724430892695841602220008780254282449815290128891715782166558993784367540920500492781 has 84 digits |
software ソフトウェア | GMP-ECM 6.1.1 |
name 名前 | Tyler Cadigan |
---|---|
date 日付 | October 8, 2009 04:54:33 UTC 2009 年 10 月 8 日 (木) 13 時 54 分 33 秒 (日本時間) |
composite number 合成数 | 5919647550678682918318585392550030687321219331802429980672060525048639901448866420111089641083403610030206379807979210510870824800479444820240779860283084327969945191577457<172> |
prime factors 素因数 | 142382085188774470405910710620318311201708781764203691159141491<63> 41575789136886395098758671741723670103749259409601292912421292205993178486578323921284022171938244838107449227<110> |
factorization results 素因数分解の結果 | Number: 10003_200 N=5919647550678682918318585392550030687321219331802429980672060525048639901448866420111089641083403610030206379807979210510870824800479444820240779860283084327969945191577457 ( 172 digits) SNFS difficulty: 200 digits. Divisors found: r1=142382085188774470405910710620318311201708781764203691159141491 (pp63) r2=41575789136886395098758671741723670103749259409601292912421292205993178486578323921284022171938244838107449227 (pp110) Version: Msieve v. 1.42 Total time: 478.11 hours. Scaled time: 0.00 units (timescale=0.000). Factorization parameters were as follows: n: 5919647550678682918318585392550030687321219331802429980672060525048639901448866420111089641083403610030206379807979210510870824800479444820240779860283084327969945191577457 m: 10000000000000000000000000000000000000000 deg: 5 c5: 1 c0: 3 skew: 1.25 type: snfs lss: 1 rlim: 15100000 alim: 15100000 lpbr: 29 lpba: 29 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 15100000/15100000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 56/56 Sieved rational special-q in [7550000, 13550001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 3112395 x 3112621 Total sieving time: 452.35 hours. Total relation processing time: 0.50 hours. Matrix solve time: 24.85 hours. Time per square root: 0.41 hours. Prototype def-par.txt line would be: snfs,200.000,5,0,0,0,0,0,0,0,0,15100000,15100000,29,29,56,56,2.6,2.6,100000 total time: 478.11 hours. --------- CPU info (if available) ---------- |
software ソフトウェア | GGNFS, msieve |
execution environment 実行環境 | C2Q Q6600 2.4GHz, 3 Gb or RAM, Windows Vista |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | December 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 400 / 2336 | Serge Batalov | December 14, 2008 00:11:08 UTC 2008 年 12 月 14 日 (日) 9 時 11 分 8 秒 (日本時間) |
name 名前 | Youcef Lemsafer |
---|---|
date 日付 | December 3, 2013 05:06:51 UTC 2013 年 12 月 3 日 (火) 14 時 6 分 51 秒 (日本時間) |
composite number 合成数 | 5544749715906436128060592616689971095174464304952506855426229327314091233220290245638033963235642392446463291220068699333112380183728972100989298427871251069851910382719647449944951<181> |
prime factors 素因数 | 1559209440913982454562887029869619018055889163293<49> 96809897811758421955085530905865727493577389835463186563<56> 36733112584125115601823581104037969696594279708082416983843406679278376763489<77> |
factorization results 素因数分解の結果 | <Sieving> <16h 30m 49s, using 8 threads on Intel Xeon E5-2680 @ 2.8GHz> <2013-11-30 16:49:26 ... 2013-12-01 09:20:15> <[7000000,9000000] 9114824 relations> <Resuming on 2x Intel Xeon E5-2620 @ 2.0 GHz:> Sun Dec 01 14:33:41 2013 -> factmsieve.py (v0.76) Sun Dec 01 14:33:41 2013 -> This is client 1 of 1 Sun Dec 01 14:33:41 2013 -> Running on 12 Cores with 2 hyper-threads per Core Sun Dec 01 14:33:41 2013 -> Working with NAME = 10003_201 Sun Dec 01 14:33:41 2013 -> Selected lattice siever: gnfs-lasieve4I14e Sun Dec 01 14:33:41 2013 -> Creating param file to detect parameter changes... Sun Dec 01 14:33:41 2013 -> Running setup ... Sun Dec 01 14:33:41 2013 -> Estimated minimum relations needed: 3.05995e+07 Sun Dec 01 14:33:41 2013 -> cleaning up before a restart Sun Dec 01 14:33:41 2013 -> Running lattice siever ... Sun Dec 01 14:33:41 2013 -> entering sieving loop <...snipped...> Sun Dec 01 14:33:41 2013 -> Lattice sieving rational q from 9000000 to 9100000. <...snipped...> Sun Dec 01 15:02:12 2013 Found 9563853 relations, 31.3% of the estimated minimum (30599496). <...snipped...> Sun Dec 01 20:09:38 2013 Found 15455024 relations, 50.5% of the estimated minimum (30599496). <...snipped...> Mon Dec 02 03:07:30 2013 Found 23123130 relations, 75.6% of the estimated minimum (30599496). <...snipped...> Mon Dec 02 10:09:08 2013 Found 30714281 relations, 100.4% of the estimated minimum (30599496). <...snipped...> Mon Dec 02 19:16:00 2013 Found 38077877 relations, 124.4% of the estimated minimum (30599496). <...snipped...> Mon Dec 02 19:16:00 2013 Msieve v. 1.51 (SVN 845) Mon Dec 02 19:16:00 2013 random seeds: 9bb5f34c b61e0266 Mon Dec 02 19:16:00 2013 factoring 5544749715906436128060592616689971095174464304952506855426229327314091233220290245638033963235642392446463291220068699333112380183728972100989298427871251069851910382719647449944951 (181 digits) Mon Dec 02 19:16:01 2013 searching for 15-digit factors Mon Dec 02 19:16:02 2013 commencing number field sieve (181-digit input) Mon Dec 02 19:16:02 2013 R0: -10000000000000000000000000000000000000000 Mon Dec 02 19:16:02 2013 R1: 1 Mon Dec 02 19:16:02 2013 A0: 3 Mon Dec 02 19:16:02 2013 A1: 0 Mon Dec 02 19:16:02 2013 A2: 0 Mon Dec 02 19:16:02 2013 A3: 0 Mon Dec 02 19:16:02 2013 A4: 0 Mon Dec 02 19:16:02 2013 A5: 10 Mon Dec 02 19:16:02 2013 skew 0.79, size 6.304e-014, alpha 1.627, combined = 1.463e-011 rroots = 1 Mon Dec 02 19:16:02 2013 Mon Dec 02 19:16:02 2013 commencing relation filtering Mon Dec 02 19:16:02 2013 estimated available RAM is 4096.0 MB Mon Dec 02 19:16:02 2013 commencing duplicate removal, pass 1 Mon Dec 02 19:19:40 2013 skipped 1 relations with b > 2^32 Mon Dec 02 19:19:40 2013 found 4029001 hash collisions in 38077875 relations Mon Dec 02 19:20:30 2013 added 52 free relations Mon Dec 02 19:20:30 2013 commencing duplicate removal, pass 2 Mon Dec 02 19:21:44 2013 found 3235549 duplicates and 34842378 unique relations Mon Dec 02 19:21:44 2013 memory use: 138.6 MB Mon Dec 02 19:21:44 2013 reading ideals above 15269888 Mon Dec 02 19:21:48 2013 commencing singleton removal, initial pass Mon Dec 02 19:26:04 2013 memory use: 753.0 MB Mon Dec 02 19:26:04 2013 reading all ideals from disk Mon Dec 02 19:26:04 2013 memory use: 648.6 MB Mon Dec 02 19:26:06 2013 commencing in-memory singleton removal Mon Dec 02 19:26:08 2013 begin with 34842378 relations and 36343383 unique ideals Mon Dec 02 19:26:28 2013 reduce to 12890900 relations and 10762757 ideals in 21 passes Mon Dec 02 19:26:28 2013 max relations containing the same ideal: 47 Mon Dec 02 19:26:29 2013 reading ideals above 720000 Mon Dec 02 19:26:30 2013 commencing singleton removal, initial pass Mon Dec 02 19:28:40 2013 memory use: 344.5 MB Mon Dec 02 19:28:40 2013 reading all ideals from disk Mon Dec 02 19:28:41 2013 memory use: 433.5 MB Mon Dec 02 19:28:42 2013 commencing in-memory singleton removal Mon Dec 02 19:28:43 2013 begin with 12890954 relations and 12621729 unique ideals Mon Dec 02 19:28:50 2013 reduce to 12890210 relations and 12620728 ideals in 7 passes Mon Dec 02 19:28:50 2013 max relations containing the same ideal: 178 Mon Dec 02 19:28:56 2013 removing 948139 relations and 880710 ideals in 67429 cliques Mon Dec 02 19:28:57 2013 commencing in-memory singleton removal Mon Dec 02 19:28:58 2013 begin with 11942071 relations and 12620728 unique ideals Mon Dec 02 19:29:11 2013 reduce to 11875079 relations and 11672436 ideals in 10 passes Mon Dec 02 19:29:11 2013 max relations containing the same ideal: 169 Mon Dec 02 19:29:18 2013 removing 685878 relations and 618449 ideals in 67429 cliques Mon Dec 02 19:29:19 2013 commencing in-memory singleton removal Mon Dec 02 19:29:20 2013 begin with 11189201 relations and 11672436 unique ideals Mon Dec 02 19:29:31 2013 reduce to 11151167 relations and 11015708 ideals in 9 passes Mon Dec 02 19:29:31 2013 max relations containing the same ideal: 158 Mon Dec 02 19:29:41 2013 relations with 0 large ideals: 2894 Mon Dec 02 19:29:41 2013 relations with 1 large ideals: 282 Mon Dec 02 19:29:41 2013 relations with 2 large ideals: 7067 Mon Dec 02 19:29:41 2013 relations with 3 large ideals: 73355 Mon Dec 02 19:29:41 2013 relations with 4 large ideals: 413034 Mon Dec 02 19:29:41 2013 relations with 5 large ideals: 1355314 Mon Dec 02 19:29:41 2013 relations with 6 large ideals: 2793684 Mon Dec 02 19:29:41 2013 relations with 7+ large ideals: 6505537 Mon Dec 02 19:29:41 2013 commencing 2-way merge Mon Dec 02 19:29:51 2013 reduce to 6268110 relation sets and 6132656 unique ideals Mon Dec 02 19:29:51 2013 ignored 5 oversize relation sets Mon Dec 02 19:29:51 2013 commencing full merge Mon Dec 02 19:32:16 2013 memory use: 620.6 MB Mon Dec 02 19:32:17 2013 found 3246847 cycles, need 3232856 Mon Dec 02 19:32:18 2013 weight of 3232856 cycles is about 226479241 (70.06/cycle) Mon Dec 02 19:32:18 2013 distribution of cycle lengths: Mon Dec 02 19:32:18 2013 1 relations: 461892 Mon Dec 02 19:32:18 2013 2 relations: 435376 Mon Dec 02 19:32:18 2013 3 relations: 407717 Mon Dec 02 19:32:18 2013 4 relations: 354452 Mon Dec 02 19:32:18 2013 5 relations: 298440 Mon Dec 02 19:32:18 2013 6 relations: 250462 Mon Dec 02 19:32:18 2013 7 relations: 203604 Mon Dec 02 19:32:18 2013 8 relations: 162911 Mon Dec 02 19:32:18 2013 9 relations: 131787 Mon Dec 02 19:32:18 2013 10+ relations: 526215 Mon Dec 02 19:32:18 2013 heaviest cycle: 27 relations Mon Dec 02 19:32:19 2013 commencing cycle optimization Mon Dec 02 19:32:23 2013 start with 17928491 relations Mon Dec 02 19:32:57 2013 pruned 284692 relations Mon Dec 02 19:32:57 2013 memory use: 501.0 MB Mon Dec 02 19:32:57 2013 distribution of cycle lengths: Mon Dec 02 19:32:57 2013 1 relations: 461892 Mon Dec 02 19:32:57 2013 2 relations: 442838 Mon Dec 02 19:32:57 2013 3 relations: 418581 Mon Dec 02 19:32:57 2013 4 relations: 358943 Mon Dec 02 19:32:57 2013 5 relations: 301712 Mon Dec 02 19:32:57 2013 6 relations: 250473 Mon Dec 02 19:32:57 2013 7 relations: 202548 Mon Dec 02 19:32:57 2013 8 relations: 160538 Mon Dec 02 19:32:57 2013 9 relations: 129657 Mon Dec 02 19:32:57 2013 10+ relations: 505674 Mon Dec 02 19:32:57 2013 heaviest cycle: 26 relations Mon Dec 02 19:33:01 2013 RelProcTime: 1019 Mon Dec 02 19:33:01 2013 elapsed time 00:17:01 Mon Dec 02 19:33:01 2013 LatSieveTime: 2592.1 Mon Dec 02 19:33:01 2013 -> Running matrix solving step ... <...snipped...> Mon Dec 02 19:33:04 2013 commencing linear algebra Mon Dec 02 19:33:05 2013 read 3232856 cycles Mon Dec 02 19:33:12 2013 cycles contain 10949726 unique relations Mon Dec 02 19:34:26 2013 read 10949726 relations Mon Dec 02 19:34:46 2013 using 20 quadratic characters above 536870058 Mon Dec 02 19:35:46 2013 building initial matrix Mon Dec 02 19:38:25 2013 memory use: 1229.0 MB Mon Dec 02 19:38:29 2013 read 3232856 cycles Mon Dec 02 19:38:30 2013 matrix is 3232677 x 3232856 (928.1 MB) with weight 286285368 (88.55/col) Mon Dec 02 19:38:30 2013 sparse part has weight 220659605 (68.26/col) Mon Dec 02 19:39:14 2013 filtering completed in 2 passes Mon Dec 02 19:39:15 2013 matrix is 3227575 x 3227754 (927.8 MB) with weight 286133477 (88.65/col) Mon Dec 02 19:39:15 2013 sparse part has weight 220614576 (68.35/col) Mon Dec 02 19:39:25 2013 matrix starts at (0, 0) Mon Dec 02 19:39:27 2013 matrix is 3227575 x 3227754 (927.8 MB) with weight 286133477 (88.65/col) Mon Dec 02 19:39:27 2013 sparse part has weight 220614576 (68.35/col) Mon Dec 02 19:39:27 2013 saving the first 48 matrix rows for later Mon Dec 02 19:39:28 2013 matrix includes 64 packed rows Mon Dec 02 19:39:29 2013 matrix is 3227527 x 3227754 (877.4 MB) with weight 227575913 (70.51/col) Mon Dec 02 19:39:29 2013 sparse part has weight 210637036 (65.26/col) Mon Dec 02 19:39:29 2013 using block size 65536 for processor cache size 15360 kB Mon Dec 02 19:39:48 2013 commencing Lanczos iteration (24 threads) Mon Dec 02 19:39:48 2013 memory use: 1314.1 MB Mon Dec 02 19:40:02 2013 linear algebra at 0.0%, ETA 7h41m Mon Dec 02 19:40:07 2013 checkpointing every 410000 dimensions Tue Dec 03 03:24:12 2013 lanczos halted after 51043 iterations (dim = 3227527) Tue Dec 03 03:24:19 2013 recovered 39 nontrivial dependencies Tue Dec 03 03:24:19 2013 BLanczosTime: 28275 Tue Dec 03 03:24:19 2013 elapsed time 07:51:18 Tue Dec 03 03:24:19 2013 -> Running square root step ... <...snipped...> Tue Dec 03 03:24:23 2013 commencing square root phase Tue Dec 03 03:24:23 2013 reading relations for dependency 1 Tue Dec 03 03:24:24 2013 read 1612216 cycles Tue Dec 03 03:24:28 2013 cycles contain 5470524 unique relations Tue Dec 03 03:25:24 2013 read 5470524 relations Tue Dec 03 03:26:06 2013 multiplying 5470524 relations Tue Dec 03 03:36:46 2013 multiply complete, coefficients have about 146.62 million bits Tue Dec 03 03:36:48 2013 initial square root is modulo 182821 Tue Dec 03 03:49:34 2013 found factor: 96809897811758421955085530905865727493577389835463186563 Tue Dec 03 03:49:34 2013 reading relations for dependency 2 Tue Dec 03 03:49:35 2013 read 1613552 cycles Tue Dec 03 03:49:39 2013 cycles contain 5471938 unique relations Tue Dec 03 03:50:35 2013 read 5471938 relations Tue Dec 03 03:51:17 2013 multiplying 5471938 relations Tue Dec 03 04:01:57 2013 multiply complete, coefficients have about 146.66 million bits Tue Dec 03 04:01:58 2013 initial square root is modulo 183451 Tue Dec 03 04:14:38 2013 sqrtTime: 3015 Tue Dec 03 04:14:38 2013 prp49 factor: 1559209440913982454562887029869619018055889163293 Tue Dec 03 04:14:38 2013 prp56 factor: 96809897811758421955085530905865727493577389835463186563 Tue Dec 03 04:14:38 2013 prp77 factor: 36733112584125115601823581104037969696594279708082416983843406679278376763489 Tue Dec 03 04:14:38 2013 elapsed time 00:50:19 |
software ソフトウェア | GGNFS (SVN 440), msieve 1.51 (SVN 845) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | December 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 300 | Ignacio Santos | June 2, 2011 15:01:31 UTC 2011 年 6 月 3 日 (金) 0 時 1 分 31 秒 (日本時間) | |
40 | 3e6 | 2510 | 110 | Ignacio Santos | June 2, 2011 15:01:31 UTC 2011 年 6 月 3 日 (金) 0 時 1 分 31 秒 (日本時間) |
2400 | Youcef Lemsafer | October 23, 2013 06:30:44 UTC 2013 年 10 月 23 日 (水) 15 時 30 分 44 秒 (日本時間) | |||
45 | 11e6 | 3932 | 32 | Ignacio Santos | June 2, 2011 15:01:31 UTC 2011 年 6 月 3 日 (金) 0 時 1 分 31 秒 (日本時間) |
1853 | Youcef Lemsafer | October 23, 2013 10:30:45 UTC 2013 年 10 月 23 日 (水) 19 時 30 分 45 秒 (日本時間) | |||
1024 | Youcef Lemsafer | October 27, 2013 00:12:37 UTC 2013 年 10 月 27 日 (日) 9 時 12 分 37 秒 (日本時間) | |||
1023 | Youcef Lemsafer | October 31, 2013 04:58:57 UTC 2013 年 10 月 31 日 (木) 13 時 58 分 57 秒 (日本時間) |
name 名前 | Youcef Lemsafer |
---|---|
date 日付 | October 27, 2013 08:39:20 UTC 2013 年 10 月 27 日 (日) 17 時 39 分 20 秒 (日本時間) |
composite number 合成数 | 8264494845185256645112826460948097923540992276880283844281341492086504732344676137289279780160950347952045984000332315386091220759365162756845298474087321<154> |
prime factors 素因数 | 55074051436426524245294788335740472290658242214637<50> 150061501371933529609603999495255647135727438849802417383522605116922772437293654866115221871606646163933<105> |
factorization results 素因数分解の結果 | GMP-ECM 6.4.4 [configured with MPIR 2.6.0] [ECM] Input number is (10^203+3)/(2789*12365896675697*1249127817911663*280868269889331617) (154 digits) Using MODMULN [mulredc:0, sqrredc:0] Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3355128729 dF=32768, k=3, d=324870, d2=11, i0=23 Expected number of curves to find a factor of n digits: 35 40 45 50 55 60 65 70 75 80 122 686 4482 33676 284176 2657998 2.7e+007 3e+008 3.7e+009 4.4e+010 Step 1 took 40342ms Using 19 small primes for NTT Estimated memory usage: 104M Initializing tables of differences for F took 47ms Computing roots of F took 1029ms Building F from its roots took 2169ms Computing 1/F took 1107ms Initializing table of differences for G took 32ms Computing roots of G took 951ms Building G from its roots took 2106ms Computing roots of G took 936ms Building G from its roots took 2075ms Computing G * H took 593ms Reducing G * H mod F took 624ms Computing roots of G took 920ms Building G from its roots took 2075ms Computing G * H took 608ms Reducing G * H mod F took 655ms Computing polyeval(F,G) took 4087ms Computing product of all F(g_i) took 16ms Step 2 took 20171ms ********** Factor found in step 2: 55074051436426524245294788335740472290658242214637 Found probable prime factor of 50 digits: 55074051436426524245294788335740472290658242214637 Probable prime cofactor ((10^203+3)/(2789*12365896675697*1249127817911663*280868269889331617))/55074051436426524245294788335740472290658242214637 has 105 digits |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | December 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 325 | 25 | Luigi Morelli | November 8, 2010 16:14:17 UTC 2010 年 11 月 9 日 (火) 1 時 14 分 17 秒 (日本時間) |
300 | Ignacio Santos | June 2, 2011 15:55:30 UTC 2011 年 6 月 3 日 (金) 0 時 55 分 30 秒 (日本時間) | |||
40 | 3e6 | 2510 | 110 | Ignacio Santos | June 2, 2011 15:55:30 UTC 2011 年 6 月 3 日 (金) 0 時 55 分 30 秒 (日本時間) |
2400 | Youcef Lemsafer | October 23, 2013 15:48:33 UTC 2013 年 10 月 24 日 (木) 0 時 48 分 33 秒 (日本時間) | |||
45 | 11e6 | 418 / 3909 | 32 | Ignacio Santos | June 2, 2011 15:55:30 UTC 2011 年 6 月 3 日 (金) 0 時 55 分 30 秒 (日本時間) |
200 | Youcef Lemsafer | October 23, 2013 15:48:33 UTC 2013 年 10 月 24 日 (木) 0 時 48 分 33 秒 (日本時間) | |||
186 | Youcef Lemsafer | October 27, 2013 08:32:58 UTC 2013 年 10 月 27 日 (日) 17 時 32 分 58 秒 (日本時間) |
name 名前 | Justin Card |
---|---|
date 日付 | June 23, 2010 22:23:39 UTC 2010 年 6 月 24 日 (木) 7 時 23 分 39 秒 (日本時間) |
composite number 合成数 | 14314781835404490011603522372422309471037502970971972887091557090459232811795396444691393260978632571264406191766925701366390800713391335388861750441161135313949<161> |
prime factors 素因数 | 19039799146194219929680236981306119437<38> |
composite cofactor 合成数の残り | 751834708207297846430986688259181434656210228564642536281326488711392517290896861639769528877527235494826356821268520752977<123> |
factorization results 素因数分解の結果 | [2010-06-23 12:03:06 GMT] 10003_205: probable factor returned by justin@darkenedpath.com (c2)! Factor=19039799146194219929680236981306119437 Method=ECM B1=3000000 Sigma=864795688 |
software ソフトウェア | gmp-ecm 6.2 |
execution environment 実行環境 | Athlon 64x2 2600+, Ubuntu Linux 10.04 |
name 名前 | Justin Card |
---|---|
date 日付 | July 1, 2010 03:44:26 UTC 2010 年 7 月 1 日 (木) 12 時 44 分 26 秒 (日本時間) |
composite number 合成数 | 751834708207297846430986688259181434656210228564642536281326488711392517290896861639769528877527235494826356821268520752977<123> |
prime factors 素因数 | 15143108594550198118899835285284064399180193739119563<53> 49648637432202862502291365717484506948318948700540135668665997987802579<71> |
factorization results 素因数分解の結果 | Wed Jun 30 18:37:49 2010 Wed Jun 30 18:37:49 2010 Wed Jun 30 18:37:49 2010 Msieve v. 1.46 Wed Jun 30 18:37:49 2010 random seeds: 4e632727 dd0fe6f3 Wed Jun 30 18:37:49 2010 factoring 751834708207297846430986688259181434656210228564642536281326488711392517290896861639769528877527235494826356821268520752977 (123 digits) Wed Jun 30 18:37:50 2010 no P-1/P+1/ECM available, skipping Wed Jun 30 18:37:50 2010 commencing number field sieve (123-digit input) Wed Jun 30 18:37:50 2010 R0: -857666033332364158161703 Wed Jun 30 18:37:50 2010 R1: 12206160367483 Wed Jun 30 18:37:50 2010 A0: -7270073499588044560864454224296 Wed Jun 30 18:37:50 2010 A1: 134320085797973316376602654 Wed Jun 30 18:37:50 2010 A2: -1042662099323539519318 Wed Jun 30 18:37:50 2010 A3: -1380449778881387 Wed Jun 30 18:37:50 2010 A4: 4272989126 Wed Jun 30 18:37:50 2010 A5: 1620 Wed Jun 30 18:37:50 2010 skew 1.00, size 6.352e-12, alpha -6.225, combined = 2.643e-12 rroots = 3 Wed Jun 30 18:37:50 2010 Wed Jun 30 18:37:50 2010 commencing relation filtering Wed Jun 30 18:37:50 2010 estimated available RAM is 998.5 MB Wed Jun 30 18:37:50 2010 commencing duplicate removal, pass 1 Wed Jun 30 18:39:57 2010 found 62760 hash collisions in 11613847 relations Wed Jun 30 18:40:44 2010 added 59139 free relations Wed Jun 30 18:40:44 2010 commencing duplicate removal, pass 2 Wed Jun 30 18:40:59 2010 found 0 duplicates and 11672986 unique relations Wed Jun 30 18:40:59 2010 memory use: 130.1 MB Wed Jun 30 18:40:59 2010 reading ideals above 7012352 Wed Jun 30 18:41:03 2010 commencing singleton removal, initial pass Wed Jun 30 18:43:36 2010 memory use: 344.5 MB Wed Jun 30 18:43:36 2010 reading all ideals from disk Wed Jun 30 18:43:38 2010 memory use: 228.5 MB Wed Jun 30 18:43:39 2010 commencing in-memory singleton removal Wed Jun 30 18:43:41 2010 begin with 11672986 relations and 10952773 unique ideals Wed Jun 30 18:43:56 2010 reduce to 6030608 relations and 4525451 ideals in 14 passes Wed Jun 30 18:43:56 2010 max relations containing the same ideal: 36 Wed Jun 30 18:43:57 2010 reading ideals above 100000 Wed Jun 30 18:43:57 2010 commencing singleton removal, initial pass Wed Jun 30 18:45:40 2010 memory use: 172.2 MB Wed Jun 30 18:45:41 2010 reading all ideals from disk Wed Jun 30 18:45:44 2010 memory use: 216.3 MB Wed Jun 30 18:45:46 2010 keeping 5449206 ideals with weight <= 200, target excess is 30653 Wed Jun 30 18:45:48 2010 commencing in-memory singleton removal Wed Jun 30 18:45:49 2010 begin with 6030795 relations and 5449206 unique ideals Wed Jun 30 18:45:58 2010 Wed Jun 30 18:45:58 2010 Wed Jun 30 18:45:58 2010 Msieve v. 1.46 Wed Jun 30 18:45:58 2010 random seeds: 5a13768f fb03627e Wed Jun 30 18:45:58 2010 factoring 751834708207297846430986688259181434656210228564642536281326488711392517290896861639769528877527235494826356821268520752977 (123 digits) Wed Jun 30 18:45:59 2010 no P-1/P+1/ECM available, skipping Wed Jun 30 18:45:59 2010 commencing number field sieve (123-digit input) Wed Jun 30 18:45:59 2010 R0: -857666033332364158161703 Wed Jun 30 18:45:59 2010 R1: 12206160367483 Wed Jun 30 18:45:59 2010 A0: -7270073499588044560864454224296 Wed Jun 30 18:45:59 2010 A1: 134320085797973316376602654 Wed Jun 30 18:45:59 2010 A2: -1042662099323539519318 Wed Jun 30 18:45:59 2010 A3: -1380449778881387 Wed Jun 30 18:45:59 2010 A4: 4272989126 Wed Jun 30 18:45:59 2010 A5: 1620 Wed Jun 30 18:45:59 2010 skew 1.00, size 6.352e-12, alpha -6.225, combined = 2.643e-12 rroots = 3 Wed Jun 30 18:45:59 2010 Wed Jun 30 18:45:59 2010 commencing relation filtering Wed Jun 30 18:45:59 2010 estimated available RAM is 998.5 MB Wed Jun 30 18:45:59 2010 commencing duplicate removal, pass 1 Wed Jun 30 18:46:03 2010 reduce to 6027546 relations and 5445143 ideals in 8 passes Wed Jun 30 18:46:03 2010 max relations containing the same ideal: 200 Wed Jun 30 18:46:11 2010 removing 1411065 relations and 1137642 ideals in 273423 cliques Wed Jun 30 18:46:12 2010 commencing in-memory singleton removal Wed Jun 30 18:46:13 2010 begin with 4616481 relations and 5445143 unique ideals Wed Jun 30 18:46:25 2010 reduce to 4416612 relations and 4096737 ideals in 9 passes Wed Jun 30 18:46:25 2010 max relations containing the same ideal: 169 Wed Jun 30 18:46:31 2010 removing 1050985 relations and 777562 ideals in 273423 cliques Wed Jun 30 18:46:32 2010 commencing in-memory singleton removal Wed Jun 30 18:46:33 2010 begin with 3365627 relations and 4096737 unique ideals Wed Jun 30 18:46:40 2010 reduce to 3205337 relations and 3148836 ideals in 8 passes Wed Jun 30 18:46:40 2010 max relations containing the same ideal: 135 Wed Jun 30 18:46:45 2010 removing 132148 relations and 111205 ideals in 20943 cliques Wed Jun 30 18:46:45 2010 commencing in-memory singleton removal Wed Jun 30 18:46:46 2010 begin with 3073189 relations and 3148836 unique ideals Wed Jun 30 18:46:50 2010 reduce to 3070003 relations and 3034425 ideals in 5 passes Wed Jun 30 18:46:50 2010 max relations containing the same ideal: 129 Wed Jun 30 18:46:52 2010 relations with 0 large ideals: 102 Wed Jun 30 18:46:52 2010 relations with 1 large ideals: 118 Wed Jun 30 18:46:52 2010 relations with 2 large ideals: 1780 Wed Jun 30 18:46:52 2010 relations with 3 large ideals: 19196 Wed Jun 30 18:46:52 2010 relations with 4 large ideals: 109526 Wed Jun 30 18:46:52 2010 relations with 5 large ideals: 365997 Wed Jun 30 18:46:52 2010 relations with 6 large ideals: 742823 Wed Jun 30 18:46:52 2010 relations with 7+ large ideals: 1830461 Wed Jun 30 18:46:52 2010 commencing 2-way merge Wed Jun 30 18:46:58 2010 reduce to 2018737 relation sets and 1983159 unique ideals Wed Jun 30 18:46:58 2010 commencing full merge Wed Jun 30 18:48:08 2010 found 63387 hash collisions in 11672986 relations Wed Jun 30 18:48:11 2010 memory use: 238.6 MB Wed Jun 30 18:48:12 2010 found 1031717 cycles, need 1027359 Wed Jun 30 18:48:13 2010 weight of 1027359 cycles is about 72274782 (70.35/cycle) Wed Jun 30 18:48:13 2010 distribution of cycle lengths: Wed Jun 30 18:48:13 2010 1 relations: 86685 Wed Jun 30 18:48:13 2010 2 relations: 114734 Wed Jun 30 18:48:13 2010 3 relations: 122246 Wed Jun 30 18:48:13 2010 4 relations: 115046 Wed Jun 30 18:48:13 2010 5 relations: 105483 Wed Jun 30 18:48:13 2010 6 relations: 93341 Wed Jun 30 18:48:13 2010 7 relations: 79554 Wed Jun 30 18:48:13 2010 8 relations: 67484 Wed Jun 30 18:48:13 2010 9 relations: 55530 Wed Jun 30 18:48:13 2010 10+ relations: 187256 Wed Jun 30 18:48:13 2010 heaviest cycle: 23 relations Wed Jun 30 18:48:13 2010 commencing cycle optimization Wed Jun 30 18:48:16 2010 start with 6198482 relations Wed Jun 30 18:48:35 2010 pruned 179644 relations Wed Jun 30 18:48:35 2010 memory use: 192.2 MB Wed Jun 30 18:48:35 2010 distribution of cycle lengths: Wed Jun 30 18:48:35 2010 1 relations: 86685 Wed Jun 30 18:48:35 2010 2 relations: 117341 Wed Jun 30 18:48:35 2010 3 relations: 127121 Wed Jun 30 18:48:35 2010 4 relations: 118354 Wed Jun 30 18:48:35 2010 5 relations: 108757 Wed Jun 30 18:48:35 2010 6 relations: 95116 Wed Jun 30 18:48:35 2010 7 relations: 80777 Wed Jun 30 18:48:35 2010 8 relations: 67513 Wed Jun 30 18:48:35 2010 9 relations: 54834 Wed Jun 30 18:48:35 2010 10+ relations: 170861 Wed Jun 30 18:48:35 2010 heaviest cycle: 23 relations Wed Jun 30 18:48:38 2010 RelProcTime: 648 Wed Jun 30 18:48:38 2010 Wed Jun 30 18:48:38 2010 commencing linear algebra Wed Jun 30 18:48:39 2010 read 1027359 cycles Wed Jun 30 18:48:42 2010 cycles contain 3047708 unique relations Wed Jun 30 18:48:54 2010 commencing duplicate removal, pass 2 Wed Jun 30 18:49:21 2010 found 0 duplicates and 11672986 unique relations Wed Jun 30 18:49:21 2010 memory use: 130.1 MB Wed Jun 30 18:49:21 2010 reading ideals above 7012352 Wed Jun 30 18:49:26 2010 commencing singleton removal, initial pass Wed Jun 30 18:49:35 2010 read 3047708 relations Wed Jun 30 18:49:43 2010 using 20 quadratic characters above 134217614 Wed Jun 30 18:50:11 2010 building initial matrix Wed Jun 30 18:51:12 2010 memory use: 388.5 MB Wed Jun 30 18:51:14 2010 read 1027359 cycles Wed Jun 30 18:51:24 2010 matrix is 1027182 x 1027359 (307.4 MB) with weight 96498332 (93.93/col) Wed Jun 30 18:51:24 2010 sparse part has weight 69284304 (67.44/col) Wed Jun 30 18:51:49 2010 filtering completed in 2 passes Wed Jun 30 18:51:50 2010 matrix is 1027051 x 1027226 (307.4 MB) with weight 96493577 (93.94/col) Wed Jun 30 18:51:50 2010 sparse part has weight 69283227 (67.45/col) Wed Jun 30 18:52:04 2010 read 1027226 cycles Wed Jun 30 18:52:10 2010 matrix is 1027051 x 1027226 (307.4 MB) with weight 96493577 (93.94/col) Wed Jun 30 18:52:10 2010 sparse part has weight 69283227 (67.45/col) Wed Jun 30 18:52:10 2010 saving the first 48 matrix rows for later Wed Jun 30 18:52:11 2010 matrix is 1027003 x 1027226 (295.7 MB) with weight 76613331 (74.58/col) Wed Jun 30 18:52:11 2010 sparse part has weight 67248862 (65.47/col) Wed Jun 30 18:52:11 2010 matrix includes 64 packed rows Wed Jun 30 18:52:11 2010 using block size 10922 for processor cache size 256 kB Wed Jun 30 18:52:17 2010 commencing Lanczos iteration Wed Jun 30 18:52:17 2010 memory use: 287.1 MB Wed Jun 30 18:52:18 2010 memory use: 344.5 MB Wed Jun 30 18:52:18 2010 reading all ideals from disk Wed Jun 30 18:52:20 2010 memory use: 228.5 MB Wed Jun 30 18:52:23 2010 commencing in-memory singleton removal Wed Jun 30 18:52:26 2010 begin with 11672986 relations and 10952773 unique ideals Wed Jun 30 18:52:36 2010 linear algebra at 0.1%, ETA 6h43m Wed Jun 30 18:52:48 2010 reduce to 6030608 relations and 4525451 ideals in 14 passes Wed Jun 30 18:52:48 2010 max relations containing the same ideal: 36 Wed Jun 30 18:52:50 2010 reading ideals above 100000 Wed Jun 30 18:52:50 2010 commencing singleton removal, initial pass Wed Jun 30 18:54:39 2010 memory use: 172.2 MB Wed Jun 30 18:54:39 2010 reading all ideals from disk Wed Jun 30 18:54:42 2010 memory use: 216.3 MB Wed Jun 30 18:54:45 2010 keeping 5449206 ideals with weight <= 200, target excess is 30653 Wed Jun 30 18:54:48 2010 commencing in-memory singleton removal Wed Jun 30 18:54:51 2010 begin with 6030795 relations and 5449206 unique ideals Wed Jun 30 18:55:11 2010 reduce to 6027546 relations and 5445143 ideals in 8 passes Wed Jun 30 18:55:11 2010 max relations containing the same ideal: 200 Wed Jun 30 18:55:23 2010 removing 1411065 relations and 1137642 ideals in 273423 cliques Wed Jun 30 18:55:24 2010 commencing in-memory singleton removal Wed Jun 30 18:55:26 2010 begin with 4616481 relations and 5445143 unique ideals Wed Jun 30 18:55:44 2010 reduce to 4416612 relations and 4096737 ideals in 9 passes Wed Jun 30 18:55:44 2010 max relations containing the same ideal: 169 Wed Jun 30 18:55:53 2010 removing 1050985 relations and 777562 ideals in 273423 cliques Wed Jun 30 18:55:54 2010 commencing in-memory singleton removal Wed Jun 30 18:55:55 2010 begin with 3365627 relations and 4096737 unique ideals Wed Jun 30 18:56:06 2010 reduce to 3205337 relations and 3148836 ideals in 8 passes Wed Jun 30 18:56:06 2010 max relations containing the same ideal: 135 Wed Jun 30 18:56:13 2010 removing 132148 relations and 111205 ideals in 20943 cliques Wed Jun 30 18:56:13 2010 commencing in-memory singleton removal Wed Jun 30 18:56:15 2010 begin with 3073189 relations and 3148836 unique ideals Wed Jun 30 18:56:21 2010 reduce to 3070003 relations and 3034425 ideals in 5 passes Wed Jun 30 18:56:21 2010 max relations containing the same ideal: 129 Wed Jun 30 18:56:24 2010 relations with 0 large ideals: 102 Wed Jun 30 18:56:24 2010 relations with 1 large ideals: 118 Wed Jun 30 18:56:24 2010 relations with 2 large ideals: 1780 Wed Jun 30 18:56:24 2010 relations with 3 large ideals: 19196 Wed Jun 30 18:56:24 2010 relations with 4 large ideals: 109526 Wed Jun 30 18:56:24 2010 relations with 5 large ideals: 365997 Wed Jun 30 18:56:24 2010 relations with 6 large ideals: 742823 Wed Jun 30 18:56:24 2010 relations with 7+ large ideals: 1830461 Wed Jun 30 18:56:24 2010 commencing 2-way merge Wed Jun 30 18:56:32 2010 reduce to 2018737 relation sets and 1983159 unique ideals Wed Jun 30 18:56:32 2010 commencing full merge Wed Jun 30 18:58:20 2010 memory use: 238.6 MB Wed Jun 30 18:58:20 2010 found 1031717 cycles, need 1027359 Wed Jun 30 18:58:21 2010 weight of 1027359 cycles is about 72274782 (70.35/cycle) Wed Jun 30 18:58:21 2010 distribution of cycle lengths: Wed Jun 30 18:58:21 2010 1 relations: 86685 Wed Jun 30 18:58:21 2010 2 relations: 114734 Wed Jun 30 18:58:21 2010 3 relations: 122246 Wed Jun 30 18:58:21 2010 4 relations: 115046 Wed Jun 30 18:58:21 2010 5 relations: 105483 Wed Jun 30 18:58:21 2010 6 relations: 93341 Wed Jun 30 18:58:21 2010 7 relations: 79554 Wed Jun 30 18:58:21 2010 8 relations: 67484 Wed Jun 30 18:58:21 2010 9 relations: 55530 Wed Jun 30 18:58:21 2010 10+ relations: 187256 Wed Jun 30 18:58:21 2010 heaviest cycle: 23 relations Wed Jun 30 18:58:22 2010 commencing cycle optimization Wed Jun 30 18:58:27 2010 start with 6198482 relations Wed Jun 30 18:58:54 2010 pruned 179644 relations Wed Jun 30 18:58:54 2010 memory use: 192.2 MB Wed Jun 30 18:58:54 2010 distribution of cycle lengths: Wed Jun 30 18:58:54 2010 1 relations: 86685 Wed Jun 30 18:58:54 2010 2 relations: 117341 Wed Jun 30 18:58:54 2010 3 relations: 127121 Wed Jun 30 18:58:54 2010 4 relations: 118354 Wed Jun 30 18:58:54 2010 5 relations: 108757 Wed Jun 30 18:58:54 2010 6 relations: 95116 Wed Jun 30 18:58:54 2010 7 relations: 80777 Wed Jun 30 18:58:54 2010 8 relations: 67513 Wed Jun 30 18:58:54 2010 9 relations: 54834 Wed Jun 30 18:58:54 2010 10+ relations: 170861 Wed Jun 30 18:58:54 2010 heaviest cycle: 23 relations Wed Jun 30 18:58:58 2010 RelProcTime: 779 Wed Jun 30 18:58:58 2010 Wed Jun 30 18:58:58 2010 commencing linear algebra Wed Jun 30 18:59:00 2010 read 1027359 cycles Wed Jun 30 18:59:04 2010 cycles contain 3047708 unique relations Wed Jun 30 18:59:39 2010 read 3047708 relations Wed Jun 30 18:59:50 2010 using 20 quadratic characters above 134217614 Wed Jun 30 19:00:18 2010 building initial matrix Wed Jun 30 19:01:21 2010 memory use: 388.5 MB Wed Jun 30 19:01:22 2010 read 1027359 cycles Wed Jun 30 19:01:23 2010 matrix is 1027182 x 1027359 (307.4 MB) with weight 96498332 (93.93/col) Wed Jun 30 19:01:24 2010 sparse part has weight 69284304 (67.44/col) Wed Jun 30 19:01:49 2010 filtering completed in 2 passes Wed Jun 30 19:01:49 2010 matrix is 1027051 x 1027226 (307.4 MB) with weight 96493577 (93.94/col) Wed Jun 30 19:01:49 2010 sparse part has weight 69283227 (67.45/col) Wed Jun 30 19:02:00 2010 read 1027226 cycles Wed Jun 30 19:02:02 2010 matrix is 1027051 x 1027226 (307.4 MB) with weight 96493577 (93.94/col) Wed Jun 30 19:02:02 2010 sparse part has weight 69283227 (67.45/col) Wed Jun 30 19:02:02 2010 saving the first 48 matrix rows for later Wed Jun 30 19:02:03 2010 matrix is 1027003 x 1027226 (295.7 MB) with weight 76613331 (74.58/col) Wed Jun 30 19:02:03 2010 sparse part has weight 67248862 (65.47/col) Wed Jun 30 19:02:03 2010 matrix includes 64 packed rows Wed Jun 30 19:02:03 2010 using block size 10922 for processor cache size 256 kB Wed Jun 30 19:02:10 2010 commencing Lanczos iteration (2 threads) Wed Jun 30 19:02:10 2010 memory use: 295.0 MB Wed Jun 30 19:02:21 2010 linear algebra at 0.1%, ETA 4h 8m Wed Jun 30 21:25:54 2010 lanczos halted after 9442 iterations (dim = 596947) Wed Jun 30 21:25:54 2010 BLanczosTime: 8816 Wed Jun 30 21:25:54 2010 Wed Jun 30 21:25:54 2010 commencing square root phase Wed Jun 30 21:25:54 2010 reading relations for dependency 1 Wed Jun 30 21:25:54 2010 error: read_cycles can't open dependency file Wed Jun 30 21:26:11 2010 Wed Jun 30 21:26:11 2010 Wed Jun 30 21:26:11 2010 Msieve v. 1.46 Wed Jun 30 21:26:11 2010 random seeds: 002c7e87 c762a4c2 Wed Jun 30 21:26:11 2010 factoring 751834708207297846430986688259181434656210228564642536281326488711392517290896861639769528877527235494826356821268520752977 (123 digits) Wed Jun 30 21:26:12 2010 no P-1/P+1/ECM available, skipping Wed Jun 30 21:26:12 2010 commencing number field sieve (123-digit input) Wed Jun 30 21:26:12 2010 R0: -857666033332364158161703 Wed Jun 30 21:26:12 2010 R1: 12206160367483 Wed Jun 30 21:26:12 2010 A0: -7270073499588044560864454224296 Wed Jun 30 21:26:12 2010 A1: 134320085797973316376602654 Wed Jun 30 21:26:12 2010 A2: -1042662099323539519318 Wed Jun 30 21:26:12 2010 A3: -1380449778881387 Wed Jun 30 21:26:12 2010 A4: 4272989126 Wed Jun 30 21:26:12 2010 A5: 1620 Wed Jun 30 21:26:12 2010 skew 1.00, size 6.352e-12, alpha -6.225, combined = 2.643e-12 rroots = 3 Wed Jun 30 21:26:12 2010 Wed Jun 30 21:26:12 2010 commencing linear algebra Wed Jun 30 21:26:12 2010 read 1027226 cycles Wed Jun 30 21:26:13 2010 matrix is 1027051 x 1027226 (307.4 MB) with weight 96493577 (93.94/col) Wed Jun 30 21:26:13 2010 sparse part has weight 69283227 (67.45/col) Wed Jun 30 21:26:13 2010 saving the first 48 matrix rows for later Wed Jun 30 21:26:14 2010 matrix is 1027003 x 1027226 (295.7 MB) with weight 76613331 (74.58/col) Wed Jun 30 21:26:14 2010 sparse part has weight 67248862 (65.47/col) Wed Jun 30 21:26:14 2010 matrix includes 64 packed rows Wed Jun 30 21:26:14 2010 using block size 10922 for processor cache size 256 kB Wed Jun 30 21:26:20 2010 commencing Lanczos iteration (2 threads) Wed Jun 30 21:26:20 2010 memory use: 295.0 MB Wed Jun 30 21:26:21 2010 restarting at iteration 9442 (dim = 596947) Wed Jun 30 21:26:31 2010 linear algebra at 58.2%, ETA 1h33m Wed Jun 30 23:09:32 2010 lanczos halted after 16244 iterations (dim = 1027000) Wed Jun 30 23:09:35 2010 recovered 27 nontrivial dependencies Wed Jun 30 23:09:35 2010 BLanczosTime: 6203 Wed Jun 30 23:09:35 2010 elapsed time 01:43:24 Wed Jun 30 23:09:49 2010 Wed Jun 30 23:09:49 2010 Wed Jun 30 23:09:49 2010 Msieve v. 1.46 Wed Jun 30 23:09:49 2010 random seeds: 85cf03b6 f02157bb Wed Jun 30 23:09:49 2010 factoring 751834708207297846430986688259181434656210228564642536281326488711392517290896861639769528877527235494826356821268520752977 (123 digits) Wed Jun 30 23:09:50 2010 no P-1/P+1/ECM available, skipping Wed Jun 30 23:09:50 2010 commencing number field sieve (123-digit input) Wed Jun 30 23:09:50 2010 R0: -857666033332364158161703 Wed Jun 30 23:09:50 2010 R1: 12206160367483 Wed Jun 30 23:09:50 2010 A0: -7270073499588044560864454224296 Wed Jun 30 23:09:50 2010 A1: 134320085797973316376602654 Wed Jun 30 23:09:50 2010 A2: -1042662099323539519318 Wed Jun 30 23:09:50 2010 A3: -1380449778881387 Wed Jun 30 23:09:50 2010 A4: 4272989126 Wed Jun 30 23:09:50 2010 A5: 1620 Wed Jun 30 23:09:50 2010 skew 1.00, size 6.352e-12, alpha -6.225, combined = 2.643e-12 rroots = 3 Wed Jun 30 23:09:50 2010 Wed Jun 30 23:09:50 2010 commencing square root phase Wed Jun 30 23:09:50 2010 reading relations for dependency 1 Wed Jun 30 23:09:51 2010 read 512629 cycles Wed Jun 30 23:09:52 2010 cycles contain 1524440 unique relations Wed Jun 30 23:10:12 2010 read 1524440 relations Wed Jun 30 23:10:25 2010 multiplying 1524440 relations Wed Jun 30 23:12:43 2010 multiply complete, coefficients have about 65.11 million bits Wed Jun 30 23:12:44 2010 initial square root is modulo 2229104699 Wed Jun 30 23:16:56 2010 reading relations for dependency 2 Wed Jun 30 23:16:57 2010 read 513819 cycles Wed Jun 30 23:16:58 2010 cycles contain 1524066 unique relations Wed Jun 30 23:17:18 2010 read 1524066 relations Wed Jun 30 23:17:31 2010 multiplying 1524066 relations Wed Jun 30 23:19:49 2010 multiply complete, coefficients have about 65.10 million bits Wed Jun 30 23:19:51 2010 initial square root is modulo 2219071307 Wed Jun 30 23:24:02 2010 reading relations for dependency 3 Wed Jun 30 23:24:03 2010 read 512700 cycles Wed Jun 30 23:24:04 2010 cycles contain 1521192 unique relations Wed Jun 30 23:24:24 2010 read 1521192 relations Wed Jun 30 23:24:37 2010 multiplying 1521192 relations Wed Jun 30 23:26:55 2010 multiply complete, coefficients have about 64.98 million bits Wed Jun 30 23:26:56 2010 initial square root is modulo 2130413903 Wed Jun 30 23:31:09 2010 Newton iteration failed to converge Wed Jun 30 23:31:09 2010 algebraic square root failed Wed Jun 30 23:31:09 2010 reading relations for dependency 4 Wed Jun 30 23:31:09 2010 read 513866 cycles Wed Jun 30 23:31:11 2010 cycles contain 1523508 unique relations Wed Jun 30 23:31:30 2010 read 1523508 relations Wed Jun 30 23:31:43 2010 multiplying 1523508 relations Wed Jun 30 23:34:01 2010 multiply complete, coefficients have about 65.08 million bits Wed Jun 30 23:34:02 2010 initial square root is modulo 2205539393 Wed Jun 30 23:38:15 2010 sqrtTime: 1705 Wed Jun 30 23:38:15 2010 prp53 factor: 15143108594550198118899835285284064399180193739119563 Wed Jun 30 23:38:15 2010 prp71 factor: 49648637432202862502291365717484506948318948700540135668665997987802579 Wed Jun 30 23:38:15 2010 elapsed time 00:28:26 |
software ソフトウェア | cado-nfs for polynomial selection/sieving msieve for post-processing |
execution environment 実行環境 | Athlon 64x2 2600+, 1GB RAM, Ubuntu Linux 10.04 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | December 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間) |
name 名前 | Robert Backstrom |
---|---|
date 日付 | August 17, 2009 18:59:21 UTC 2009 年 8 月 18 日 (火) 3 時 59 分 21 秒 (日本時間) |
composite number 合成数 | 16815200941651252732470153018328569026399865478392466789978140238775853371447788801076172860265680174878089793173028417689591390617117874558600975281654615772658483268875063057003531192197746763073818732133849<209> |
prime factors 素因数 | 72100344457846728686995566050906079023204339527194013<53> 233219425899999887904779450574060410914770791909686397507236849819912243596530554293769515201797100091341545546091157355719851915551928373643299913434059373<156> |
factorization results 素因数分解の結果 | Number: n N=16815200941651252732470153018328569026399865478392466789978140238775853371447788801076172860265680174878089793173028417689591390617117874558600975281654615772658483268875063057003531192197746763073818732133849 ( 209 digits) SNFS difficulty: 213 digits. Divisors found: Tue Aug 18 04:27:28 2009 prp53 factor: 72100344457846728686995566050906079023204339527194013 Tue Aug 18 04:27:28 2009 prp156 factor: 233219425899999887904779450574060410914770791909686397507236849819912243596530554293769515201797100091341545546091157355719851915551928373643299913434059373 Tue Aug 18 04:27:28 2009 elapsed time 30:40:57 (Msieve 1.39 - dependency 9) ... Msieve: warning: no irreducible prime found, switching to small primes Msieve: Newton iteration failed several times (see at end, below) ... Version: GGNFS-0.77.1-20050930-k8 Total time: 65.90 hours. Scaled time: 132.86 units (timescale=2.016). Factorization parameters were as follows: name: KA_1_0_211_3 n: 16815200941651252732470153018328569026399865478392466789978140238775853371447788801076172860265680174878089793173028417689591390617117874558600975281654615772658483268875063057003531192197746763073818732133849 m: 200000000000000000000000000000000000 deg: 6 c6: 25 c0: 48 skew: 1.11 type: snfs lss: 1 rlim: 25000000 alim: 25000000 lpbr: 29 lpba: 29 mfbr: 58 mfba: 58 rlambda: 2.6 alambda: 2.6 qintsize: 50000 Factor base limits: 25000000/25000000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 58/58 Sieved special-q in [12500000, 27749990) Primes: RFBsize:1565927, AFBsize:1566435, largePrimes:40192350 encountered Relations: rels:39845888, finalFF:1905146 Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 9102934 hash collisions in 52197256 relations Msieve: matrix is 3731532 x 3731780 (996.2 MB) Total sieving time: 64.23 hours. Total relation processing time: 1.67 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,213,6,0,0,0,0,0,0,0,0,25000000,25000000,29,29,58,58,2.6,2.6,100000 total time: 65.90 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU Q9550 @ 2.83GHz stepping 07 CPU1: Intel(R) Core(TM)2 Quad CPU Q9550 @ 2.83GHz stepping 07 CPU2: Intel(R) Core(TM)2 Quad CPU Q9550 @ 2.83GHz stepping 07 CPU3: Intel(R) Core(TM)2 Quad CPU Q9550 @ 2.83GHz stepping 07 Memory: 3352028k/3407296k available (3120k kernel code, 53984k reserved, 1898k data, 424k init, 2502088k highmem) Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.97 BogoMIPS (lpj=2830989) Calibrating delay using timer specific routine.. 5660.88 BogoMIPS (lpj=2830443) Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830457) Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830458) Total of 4 processors activated (22644.69 BogoMIPS). ... Msieve: warning: no irreducible prime found, switching to small primes Msieve: Newton iteration failed several times: ... Tue Aug 18 02:20:00 2009 reading relations for dependency 7 Tue Aug 18 02:20:10 2009 read 1866396 cycles Tue Aug 18 02:20:17 2009 cycles contain 6394091 unique relations Tue Aug 18 02:21:41 2009 read 6394091 relations Tue Aug 18 02:22:18 2009 multiplying 5186178 relations Tue Aug 18 02:32:05 2009 multiply complete, coefficients have about 148.72 million bits Tue Aug 18 02:32:07 2009 warning: no irreducible prime found, switching to small primes Tue Aug 18 02:56:28 2009 initial square root is modulo 53 Tue Aug 18 03:18:43 2009 Newton iteration failed to converge Tue Aug 18 03:18:43 2009 algebraic square root failed Tue Aug 18 03:18:43 2009 reading relations for dependency 8 Tue Aug 18 03:18:53 2009 read 1865384 cycles Tue Aug 18 03:19:00 2009 cycles contain 6392057 unique relations Tue Aug 18 03:20:24 2009 read 6392057 relations Tue Aug 18 03:21:01 2009 multiplying 5184576 relations Tue Aug 18 03:30:49 2009 multiply complete, coefficients have about 148.68 million bits Tue Aug 18 03:30:50 2009 warning: no irreducible prime found, switching to small primes Tue Aug 18 03:30:50 2009 initial square root is modulo 53 Tue Aug 18 03:53:06 2009 Newton iteration failed to converge Tue Aug 18 03:53:06 2009 algebraic square root failed Tue Aug 18 03:53:06 2009 reading relations for dependency 9 Tue Aug 18 03:53:16 2009 read 1866216 cycles Tue Aug 18 03:53:23 2009 cycles contain 6390913 unique relations Tue Aug 18 03:54:47 2009 read 6390913 relations Tue Aug 18 03:55:25 2009 multiplying 5183958 relations Tue Aug 18 04:05:12 2009 multiply complete, coefficients have about 148.66 million bits Tue Aug 18 04:05:13 2009 warning: no irreducible prime found, switching to small primes Tue Aug 18 04:05:13 2009 initial square root is modulo 53 Tue Aug 18 04:27:28 2009 prp53 factor: 72100344457846728686995566050906079023204339527194013 Tue Aug 18 04:27:28 2009 prp156 factor: 233219425899999887904779450574060410914770791909686397507236849819912243596530554293769515201797100091341545546091157355719851915551928373643299913434059373 Tue Aug 18 04:27:28 2009 elapsed time 30:40:57 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | December 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 260 | Serge Batalov | December 16, 2008 02:12:45 UTC 2008 年 12 月 16 日 (火) 11 時 12 分 45 秒 (日本時間) | |
45 | 11e6 | 2250 | 20 | Serge Batalov | December 16, 2008 02:12:45 UTC 2008 年 12 月 16 日 (火) 11 時 12 分 45 秒 (日本時間) |
400 | Serge Batalov | January 16, 2009 20:23:23 UTC 2009 年 1 月 17 日 (土) 5 時 23 分 23 秒 (日本時間) | |||
1830 | Serge Batalov | February 7, 2009 09:29:44 UTC 2009 年 2 月 7 日 (土) 18 時 29 分 44 秒 (日本時間) | |||
50 | 43e6 | 960 / 7039 | Serge Batalov | February 7, 2009 16:31:47 UTC 2009 年 2 月 8 日 (日) 1 時 31 分 47 秒 (日本時間) |
name 名前 | Youcef Lemsafer |
---|---|
date 日付 | October 31, 2013 06:30:29 UTC 2013 年 10 月 31 日 (木) 15 時 30 分 29 秒 (日本時間) |
composite number 合成数 | 464727894806381917382718260556330873831429153382989420435536615268075433169776375735700673656081885817695686079574546874110863931161054573908067853190417592686784819909216766687039872005727451786367<198> |
prime factors 素因数 | 939976523582499442974833074933764299448760369<45> 494403725143241713582773693043764901339985288904544264718424321277808984728066387716324412658431236100024021167387125903615686474892750534462108440474543<153> |
factorization results 素因数分解の結果 | GMP-ECM 6.4.4 [configured with MPIR 2.6.0] [ECM] Input number is (10^216+3)/(4339*686773*722101747) (198 digits) Using MODMULN [mulredc:0, sqrredc:0] Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1072290462 dF=32768, k=3, d=324870, d2=11, i0=23 Expected number of curves to find a factor of n digits: 35 40 45 50 55 60 65 70 75 80 122 686 4482 33676 284176 2657998 2.7e+007 3e+008 3.7e+009 4.4e+010 Step 1 took 64522ms Using 24 small primes for NTT Estimated memory usage: 134M Initializing tables of differences for F took 62ms Computing roots of F took 1888ms Building F from its roots took 2792ms Computing 1/F took 1482ms Initializing table of differences for G took 47ms Computing roots of G took 1654ms Building G from its roots took 2730ms Computing roots of G took 1653ms Building G from its roots took 2730ms Computing G * H took 811ms Reducing G * H mod F took 827ms Computing roots of G took 1685ms Building G from its roots took 2714ms Computing G * H took 811ms Reducing G * H mod F took 842ms Computing polyeval(F,G) took 5336ms Computing product of all F(g_i) took 15ms Step 2 took 28204ms ********** Factor found in step 2: 939976523582499442974833074933764299448760369 Found probable prime factor of 45 digits: 939976523582499442974833074933764299448760369 Probable prime cofactor ((10^216+3)/(4339*686773*722101747))/939976523582499442974833074933764299448760369 has 153 digits |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | December 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 300 | Ignacio Santos | June 2, 2011 21:37:45 UTC 2011 年 6 月 3 日 (金) 6 時 37 分 45 秒 (日本時間) | |
40 | 3e6 | 2510 | 110 | Ignacio Santos | June 2, 2011 21:37:45 UTC 2011 年 6 月 3 日 (金) 6 時 37 分 45 秒 (日本時間) |
2400 | Youcef Lemsafer | October 23, 2013 21:47:00 UTC 2013 年 10 月 24 日 (木) 6 時 47 分 0 秒 (日本時間) | |||
45 | 11e6 | 2060 / 3910 | 32 | Ignacio Santos | June 2, 2011 21:37:45 UTC 2011 年 6 月 3 日 (金) 6 時 37 分 45 秒 (日本時間) |
1024 | Youcef Lemsafer | October 27, 2013 08:34:34 UTC 2013 年 10 月 27 日 (日) 17 時 34 分 34 秒 (日本時間) | |||
1004 | Youcef Lemsafer | October 31, 2013 06:29:11 UTC 2013 年 10 月 31 日 (木) 15 時 29 分 11 秒 (日本時間) |
name 名前 | Youcef Lemsafer |
---|---|
date 日付 | December 22, 2015 21:23:51 UTC 2015 年 12 月 23 日 (水) 6 時 23 分 51 秒 (日本時間) |
composite number 合成数 | 108721551407302052232712141490187045005121546273052490109524962967126094914561193108405127643269904111044967592951398889212633106082153409998231571187047848270018718011559496042674093569908144997<195> |
prime factors 素因数 | 108775703897191982457265044413552644954990051<45> 999502163737399375656794117214590521270262077369393631965975172981692327091031470956101597383826544566005014164812623621716729926197306740975075482647<150> |
factorization results 素因数分解の結果 | GMP-ECM 6.4.4 [configured with GMP 6.1.0] [ECM] Input number is (10^218+3)/(613*2287*21067*31142611258687) (195 digits) [Tue Dec 22 21:53:47 2015] Using MODMULN [mulredc:0, sqrredc:2] Using B1=43000000, B2=43000000-240490660426, polynomial Dickson(12), sigma=3975970246 dF=65536, k=5, d=690690, d2=17, i0=46 Expected number of curves to find a factor of n digits: 35 40 45 50 55 60 65 70 75 80 55 246 1286 7557 49831 361851 2844041 2.4e+07 2.2e+08 2.2e+09 Step 1 took 294560ms Using 24 small primes for NTT Estimated memory usage: 273M Initializing tables of differences for F took 68ms Computing roots of F took 4560ms Building F from its roots took 3540ms Computing 1/F took 1572ms Initializing table of differences for G took 100ms Computing roots of G took 3464ms Building G from its roots took 3888ms Computing roots of G took 3564ms Building G from its roots took 3872ms Computing G * H took 796ms Reducing G * H mod F took 872ms Computing roots of G took 3568ms Building G from its roots took 3880ms Computing G * H took 784ms Reducing G * H mod F took 876ms Computing roots of G took 3552ms Building G from its roots took 3888ms Computing G * H took 752ms Reducing G * H mod F took 856ms Computing roots of G took 3412ms Building G from its roots took 4016ms Computing G * H took 824ms Reducing G * H mod F took 888ms Computing polyeval(F,G) took 7260ms Computing product of all F(g_i) took 48ms Step 2 took 61192ms ********** Factor found in step 2: 108775703897191982457265044413552644954990051 Found probable prime factor of 45 digits: 108775703897191982457265044413552644954990051 Probable prime cofactor ((10^218+3)/(613*2287*21067*31142611258687))/108775703897191982457265044413552644954990051 has 150 digits |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | December 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 300 | Ignacio Santos | June 2, 2011 21:38:02 UTC 2011 年 6 月 3 日 (金) 6 時 38 分 2 秒 (日本時間) | |
40 | 3e6 | 2510 | 110 | Ignacio Santos | June 2, 2011 21:38:02 UTC 2011 年 6 月 3 日 (金) 6 時 38 分 2 秒 (日本時間) |
2400 | Youcef Lemsafer | October 24, 2013 09:16:41 UTC 2013 年 10 月 24 日 (木) 18 時 16 分 41 秒 (日本時間) | |||
45 | 11e6 | 3504 / 3749 | 32 | Ignacio Santos | June 2, 2011 21:38:02 UTC 2011 年 6 月 3 日 (金) 6 時 38 分 2 秒 (日本時間) |
400 | Youcef Lemsafer | October 24, 2013 09:16:41 UTC 2013 年 10 月 24 日 (木) 18 時 16 分 41 秒 (日本時間) | |||
1024 | Youcef Lemsafer | October 27, 2013 16:09:46 UTC 2013 年 10 月 28 日 (月) 1 時 9 分 46 秒 (日本時間) | |||
2048 | Youcef Lemsafer | November 1, 2013 05:45:27 UTC 2013 年 11 月 1 日 (金) 14 時 45 分 27 秒 (日本時間) | |||
50 | 43e6 | 46 / 6670 | Youcef Lemsafer | December 22, 2015 21:21:50 UTC 2015 年 12 月 23 日 (水) 6 時 21 分 50 秒 (日本時間) |
name 名前 | Daniel Morel |
---|---|
date 日付 | September 9, 2016 11:12:55 UTC 2016 年 9 月 9 日 (金) 20 時 12 分 55 秒 (日本時間) |
composite number 合成数 | 2212335135020946316160414768197269893460057280688580627231004642405276317140391110378099251944153412560142783598642235694078247389647383102587696871604753413116807044468713058920480051162203<190> |
prime factors 素因数 | 16116614570482132249325369094738789713454819470901666001<56> 137270462437742829221197428521955876085386934403491880104168514834893464344285170642047593766269386224904544243869366070220672988964203<135> |
factorization results 素因数分解の結果 | Polynomial: X^5 + 30 ; m = 10^44 rlim = alim = 36000000 lpbr = lpba = 30 mfbr = mfba = 57 rlambda = alambda = 2.7 skew = 0.9 qintsize = 100000 Matrix : 4734579 x 4734756 time: 167 days or so p56 = 16116614570482132249325369094738789713454819470901666001 p135 = 137270462437742829221197428521955876085386934403491880104168514834893464344285170642047593766269386224904544243869366070220672988964203 |
software ソフトウェア | GGNFS-0.77.1 (relations) and msieve 1.52 (matrix) |
execution environment 実行環境 | Windows 7 (AMD Athlon 2,7 GHz for relations) and Windows 10 (Intel Core I5 3.2 GHz for matrix step) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | December 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 300 | Ignacio Santos | June 2, 2011 21:38:22 UTC 2011 年 6 月 3 日 (金) 6 時 38 分 22 秒 (日本時間) | |
40 | 3e6 | 2510 | 110 | Ignacio Santos | June 2, 2011 21:38:22 UTC 2011 年 6 月 3 日 (金) 6 時 38 分 22 秒 (日本時間) |
2400 | Youcef Lemsafer | October 24, 2013 14:32:10 UTC 2013 年 10 月 24 日 (木) 23 時 32 分 10 秒 (日本時間) | |||
45 | 11e6 | 3503 | 32 | Ignacio Santos | June 2, 2011 21:38:22 UTC 2011 年 6 月 3 日 (金) 6 時 38 分 22 秒 (日本時間) |
400 | Youcef Lemsafer | October 24, 2013 19:39:11 UTC 2013 年 10 月 25 日 (金) 4 時 39 分 11 秒 (日本時間) | |||
1023 | Youcef Lemsafer | October 27, 2013 22:55:45 UTC 2013 年 10 月 28 日 (月) 7 時 55 分 45 秒 (日本時間) | |||
2048 | Youcef Lemsafer | November 1, 2013 14:34:43 UTC 2013 年 11 月 1 日 (金) 23 時 34 分 43 秒 (日本時間) | |||
50 | 43e6 | 1260 / 6670 | Youcef Lemsafer | December 23, 2015 08:02:18 UTC 2015 年 12 月 23 日 (水) 17 時 2 分 18 秒 (日本時間) |
name 名前 | Daniel Morel |
---|---|
date 日付 | September 7, 2016 11:47:06 UTC 2016 年 9 月 7 日 (水) 20 時 47 分 6 秒 (日本時間) |
composite number 合成数 | 5392951422694058020528177139776806519627575893348959980867646327961327721590664594207110116937902780324629515696534778260851069509643994127228921580088158226718711134222442785931599<181> |
prime factors 素因数 | 7517990245089400883446743144051853006947808711804599069950817023411037445184749<79> 717339507884653717689419152493345716752711611892007254175523332405851497449979703630314086475844340651<102> |
factorization results 素因数分解の結果 | Polynomial: 16 X^6 + 75 ; m = 5*10^36 rlim = alim = 35000000 lpbr = lpba = 30 mfbr = mfba = 55 rlambda = alambda = 2.6 skew = 1.9 qintsize = 100000 Matrix : 3891411 x 3891589 time: 76 days or so p79 = 7517990245089400883446743144051853006947808711804599069950817023411037445184749 p102 = 717339507884653717689419152493345716752711611892007254175523332405851497449979703630314086475844340651 |
software ソフトウェア | GGNFS-0.77.1 (relations) and msieve 1.52 (matrix) |
execution environment 実行環境 | Windows 7 (AMD Athlon 2,7 GHz for relations) and Windows 10 (Intel Core I5 3.2 GHz for matrix step) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | December 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 300 | Ignacio Santos | June 2, 2011 21:38:54 UTC 2011 年 6 月 3 日 (金) 6 時 38 分 54 秒 (日本時間) | |
40 | 3e6 | 2510 | 110 | Ignacio Santos | June 2, 2011 21:38:54 UTC 2011 年 6 月 3 日 (金) 6 時 38 分 54 秒 (日本時間) |
2400 | Youcef Lemsafer | October 25, 2013 05:12:42 UTC 2013 年 10 月 25 日 (金) 14 時 12 分 42 秒 (日本時間) | |||
45 | 11e6 | 3503 | 32 | Ignacio Santos | June 2, 2011 21:38:54 UTC 2011 年 6 月 3 日 (金) 6 時 38 分 54 秒 (日本時間) |
400 | Youcef Lemsafer | October 25, 2013 05:12:42 UTC 2013 年 10 月 25 日 (金) 14 時 12 分 42 秒 (日本時間) | |||
1023 | Youcef Lemsafer | October 28, 2013 06:55:15 UTC 2013 年 10 月 28 日 (月) 15 時 55 分 15 秒 (日本時間) | |||
2048 | Youcef Lemsafer | November 2, 2013 05:44:03 UTC 2013 年 11 月 2 日 (土) 14 時 44 分 3 秒 (日本時間) | |||
50 | 43e6 | 0 / 5137 | - | - | |
55 | 11e7 | 636 / 17530 | Youcef Lemsafer | December 24, 2015 08:17:29 UTC 2015 年 12 月 24 日 (木) 17 時 17 分 29 秒 (日本時間) |
name 名前 | Daniel Morel |
---|---|
date 日付 | November 23, 2016 14:20:32 UTC 2016 年 11 月 23 日 (水) 23 時 20 分 32 秒 (日本時間) |
composite number 合成数 | 101470838933508833845753541107431858518654829260353003402457716794060143479712112463746384258265042797210355126914080995691976856173257920222367497105389066353235770021087332676100318656417<189> |
prime factors 素因数 | 507543081922125325239624985987546989269140440948091085291423<60> 199925567991640899618026549031642552703420824311209890294310809163191803436504703451572968795204054698674862375660930861134758079<129> |
factorization results 素因数分解の結果 | Polynomial: X^6 + 30 ; m = 10^37 ; skew = 6.6 rlim = alim = 36000000 lpbr = lpba = 30 mfbr = mfba = 51 rlambda = alambda = 2.7 qintsize = 100000 Matrix: 4175877 x 4176054 time: 280 days or so p60 = 507543081922125325239624985987546989269140440948091085291423 p129 = 199925567991640899618026549031642552703420824311209890294310809163191803436504703451572968795204054698674862375660930861134758079 |
software ソフトウェア | GGNFS-0.77.1 (relations) and MSieve 1.52 (matrix) |
execution environment 実行環境 | Windows 7 (AMD Athlon 2,7 GHz for relations) and Windows 10 (Intel Core I5 3.2 GHz for matrix step) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | December 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 300 | Ignacio Santos | June 3, 2011 12:39:44 UTC 2011 年 6 月 3 日 (金) 21 時 39 分 44 秒 (日本時間) | |
40 | 3e6 | 2510 | 110 | Ignacio Santos | June 3, 2011 12:39:44 UTC 2011 年 6 月 3 日 (金) 21 時 39 分 44 秒 (日本時間) |
2400 | Youcef Lemsafer | October 25, 2013 09:07:22 UTC 2013 年 10 月 25 日 (金) 18 時 7 分 22 秒 (日本時間) | |||
45 | 11e6 | 3503 / 3910 | 32 | Ignacio Santos | June 3, 2011 12:39:44 UTC 2011 年 6 月 3 日 (金) 21 時 39 分 44 秒 (日本時間) |
400 | Youcef Lemsafer | October 25, 2013 13:32:23 UTC 2013 年 10 月 25 日 (金) 22 時 32 分 23 秒 (日本時間) | |||
1023 | Youcef Lemsafer | October 28, 2013 15:06:24 UTC 2013 年 10 月 29 日 (火) 0 時 6 分 24 秒 (日本時間) | |||
2048 | Youcef Lemsafer | November 2, 2013 16:15:39 UTC 2013 年 11 月 3 日 (日) 1 時 15 分 39 秒 (日本時間) |
name 名前 | Markus Tervooren |
---|---|
date 日付 | March 27, 2010 12:59:24 UTC 2010 年 3 月 27 日 (土) 21 時 59 分 24 秒 (日本時間) |
composite number 合成数 | 1555209953343701399688958009331259720062208398133748055987558320373250388802488335925349922239502332814930015552099533437013996889580093312597200622083981337480559875583203732503888024883359253499222395023328149300155521<220> |
prime factors 素因数 | 3148242305402789635024994608088558482102077976171949233030299168602906097691<76> 493993092804439047817632866453697558737161041031127165407362194138422204047269326180080502984324531973469095663174106362848032678697926320138131<144> |
factorization results 素因数分解の結果 | ~110 CPU-days of sieving on Q6700 @ 3.3Ghz Sun Mar 21 11:29:14 2010 Msieve v. 1.44 Sun Mar 21 11:29:14 2010 random seeds: f5321f7d 5b21f4a6 Sun Mar 21 11:29:14 2010 factoring 1555209953343701399688958009331259720062208398133748055987558320373250388802488335925349922239502332814930015552099533437013996889580093312597200622083981337480559875583203732503888024883359253499222395023328149300155521 (220 digits) Sun Mar 21 11:29:16 2010 searching for 15-digit factors Sun Mar 21 11:29:16 2010 commencing number field sieve (220-digit input) Sun Mar 21 11:29:16 2010 R0: -10000000000000000000000000000000000000 Sun Mar 21 11:29:16 2010 R1: 1 Sun Mar 21 11:29:16 2010 A0: 3 Sun Mar 21 11:29:16 2010 A1: 0 Sun Mar 21 11:29:16 2010 A2: 0 Sun Mar 21 11:29:16 2010 A3: 0 Sun Mar 21 11:29:16 2010 A4: 0 Sun Mar 21 11:29:16 2010 A5: 0 Sun Mar 21 11:29:16 2010 A6: 1 Sun Mar 21 11:29:16 2010 skew 1.20, size 5.237129e-11, alpha 2.596324, combined = 2.126294e-12 Sun Mar 21 11:29:16 2010 Sun Mar 21 11:29:16 2010 commencing relation filtering Sun Mar 21 11:29:16 2010 estimated available RAM is 8010.2 MB Sun Mar 21 11:29:16 2010 commencing duplicate removal, pass 1 Sun Mar 21 11:29:27 2010 error -15 reading relation 1673674 Sun Mar 21 11:29:32 2010 error -5 reading relation 2566756 Sun Mar 21 11:33:45 2010 error -9 reading relation 35856759 Sun Mar 21 11:34:36 2010 error -9 reading relation 42637665 Sun Mar 21 11:35:24 2010 error -15 reading relation 48986911 Sun Mar 21 11:36:09 2010 error -1 reading relation 55166970 Sun Mar 21 11:36:49 2010 error -15 reading relation 60418929 Sun Mar 21 11:37:21 2010 error -5 reading relation 64670342 Sun Mar 21 11:37:24 2010 error -11 reading relation 65163260 Sun Mar 21 11:37:34 2010 error -11 reading relation 66533352 Sun Mar 21 11:37:58 2010 error -9 reading relation 69920063 Sun Mar 21 11:38:20 2010 error -9 reading relation 72871603 Sun Mar 21 11:38:23 2010 error -9 reading relation 73366664 Sun Mar 21 11:38:44 2010 error -15 reading relation 76159667 Sun Mar 21 11:38:46 2010 error -11 reading relation 76418500 Sun Mar 21 11:39:05 2010 error -5 reading relation 79028100 Sun Mar 21 11:39:08 2010 error -15 reading relation 79524119 Sun Mar 21 11:39:11 2010 error -15 reading relation 79977820 Sun Mar 21 11:39:17 2010 error -15 reading relation 80887485 Sun Mar 21 11:39:20 2010 error -11 reading relation 81336828 Sun Mar 21 11:39:57 2010 found 16514654 hash collisions in 87229557 relations Sun Mar 21 11:40:07 2010 added 2437780 free relations Sun Mar 21 11:40:07 2010 commencing duplicate removal, pass 2 Sun Mar 21 11:43:27 2010 found 14447454 duplicates and 75219883 unique relations Sun Mar 21 11:43:27 2010 memory use: 596.8 MB Sun Mar 21 11:43:27 2010 reading ideals above 50528256 Sun Mar 21 11:43:27 2010 commencing singleton removal, initial pass Sun Mar 21 11:55:35 2010 memory use: 1506.0 MB Sun Mar 21 11:55:36 2010 reading all ideals from disk Sun Mar 21 11:55:52 2010 memory use: 1337.7 MB Sun Mar 21 11:56:01 2010 commencing in-memory singleton removal Sun Mar 21 11:56:10 2010 begin with 75219883 relations and 74869659 unique ideals Sun Mar 21 11:57:45 2010 reduce to 31691419 relations and 24395147 ideals in 21 passes Sun Mar 21 11:57:45 2010 max relations containing the same ideal: 28 Sun Mar 21 11:57:49 2010 reading ideals above 720000 Sun Mar 21 11:57:49 2010 commencing singleton removal, initial pass Sun Mar 21 12:04:38 2010 memory use: 753.0 MB Sun Mar 21 12:04:38 2010 reading all ideals from disk Sun Mar 21 12:04:51 2010 memory use: 1150.8 MB Sun Mar 21 12:04:59 2010 keeping 30289451 ideals with weight <= 200, target excess is 165478 Sun Mar 21 12:05:06 2010 commencing in-memory singleton removal Sun Mar 21 12:05:13 2010 begin with 31691451 relations and 30289451 unique ideals Sun Mar 21 12:06:54 2010 reduce to 31669231 relations and 30267075 ideals in 14 passes Sun Mar 21 12:06:54 2010 max relations containing the same ideal: 200 Sun Mar 21 12:07:25 2010 removing 4034686 relations and 3634687 ideals in 400000 cliques Sun Mar 21 12:07:27 2010 commencing in-memory singleton removal Sun Mar 21 12:07:33 2010 begin with 27634545 relations and 30267075 unique ideals Sun Mar 21 12:08:41 2010 reduce to 27153529 relations and 26142022 ideals in 11 passes Sun Mar 21 12:08:41 2010 max relations containing the same ideal: 190 Sun Mar 21 12:09:08 2010 removing 2949657 relations and 2549658 ideals in 400000 cliques Sun Mar 21 12:09:09 2010 commencing in-memory singleton removal Sun Mar 21 12:09:15 2010 begin with 24203872 relations and 26142022 unique ideals Sun Mar 21 12:10:19 2010 reduce to 23913365 relations and 23297040 ideals in 12 passes Sun Mar 21 12:10:19 2010 max relations containing the same ideal: 174 Sun Mar 21 12:10:43 2010 removing 2600642 relations and 2200642 ideals in 400000 cliques Sun Mar 21 12:10:44 2010 commencing in-memory singleton removal Sun Mar 21 12:10:49 2010 begin with 21312723 relations and 23297040 unique ideals Sun Mar 21 12:11:36 2010 reduce to 21057463 relations and 20836713 ideals in 10 passes Sun Mar 21 12:11:36 2010 max relations containing the same ideal: 158 Sun Mar 21 12:11:57 2010 removing 294713 relations and 265918 ideals in 28795 cliques Sun Mar 21 12:11:57 2010 commencing in-memory singleton removal Sun Mar 21 12:12:02 2010 begin with 20762750 relations and 20836713 unique ideals Sun Mar 21 12:12:29 2010 reduce to 20759395 relations and 20567435 ideals in 6 passes Sun Mar 21 12:12:29 2010 max relations containing the same ideal: 157 Sun Mar 21 12:12:40 2010 relations with 0 large ideals: 12299 Sun Mar 21 12:12:40 2010 relations with 1 large ideals: 1847 Sun Mar 21 12:12:40 2010 relations with 2 large ideals: 9115 Sun Mar 21 12:12:40 2010 relations with 3 large ideals: 91900 Sun Mar 21 12:12:40 2010 relations with 4 large ideals: 539553 Sun Mar 21 12:12:40 2010 relations with 5 large ideals: 1898509 Sun Mar 21 12:12:40 2010 relations with 6 large ideals: 4126906 Sun Mar 21 12:12:40 2010 relations with 7+ large ideals: 14079266 Sun Mar 21 12:12:40 2010 commencing 2-way merge Sun Mar 21 12:13:08 2010 reduce to 12404064 relation sets and 12212104 unique ideals Sun Mar 21 12:13:08 2010 commencing full merge Sun Mar 21 12:18:16 2010 memory use: 1571.7 MB Sun Mar 21 12:18:18 2010 found 6517811 cycles, need 6496304 Sun Mar 21 12:18:21 2010 weight of 6496304 cycles is about 455016181 (70.04/cycle) Sun Mar 21 12:18:21 2010 distribution of cycle lengths: Sun Mar 21 12:18:21 2010 1 relations: 988015 Sun Mar 21 12:18:21 2010 2 relations: 843247 Sun Mar 21 12:18:21 2010 3 relations: 769790 Sun Mar 21 12:18:21 2010 4 relations: 662790 Sun Mar 21 12:18:21 2010 5 relations: 565873 Sun Mar 21 12:18:21 2010 6 relations: 482963 Sun Mar 21 12:18:21 2010 7 relations: 413816 Sun Mar 21 12:18:21 2010 8 relations: 345394 Sun Mar 21 12:18:21 2010 9 relations: 288953 Sun Mar 21 12:18:21 2010 10+ relations: 1135463 Sun Mar 21 12:18:21 2010 heaviest cycle: 27 relations Sun Mar 21 12:18:23 2010 commencing cycle optimization Sun Mar 21 12:18:36 2010 start with 36546096 relations Sun Mar 21 12:19:45 2010 pruned 718052 relations Sun Mar 21 12:19:45 2010 memory use: 1220.4 MB Sun Mar 21 12:19:45 2010 distribution of cycle lengths: Sun Mar 21 12:19:45 2010 1 relations: 988015 Sun Mar 21 12:19:45 2010 2 relations: 856649 Sun Mar 21 12:19:45 2010 3 relations: 790182 Sun Mar 21 12:19:45 2010 4 relations: 673090 Sun Mar 21 12:19:45 2010 5 relations: 575860 Sun Mar 21 12:19:45 2010 6 relations: 486983 Sun Mar 21 12:19:45 2010 7 relations: 415863 Sun Mar 21 12:19:45 2010 8 relations: 344734 Sun Mar 21 12:19:45 2010 9 relations: 286958 Sun Mar 21 12:19:45 2010 10+ relations: 1077970 Sun Mar 21 12:19:45 2010 heaviest cycle: 26 relations Sun Mar 21 12:20:00 2010 RelProcTime: 3044 Sun Mar 21 12:20:00 2010 elapsed time 00:50:46 Sun Mar 21 12:21:56 2010 Sun Mar 21 12:21:56 2010 Sun Mar 21 12:21:56 2010 Msieve v. 1.44 Sun Mar 21 12:21:56 2010 random seeds: a3817e8c ba1a6893 Sun Mar 21 12:21:56 2010 factoring 1555209953343701399688958009331259720062208398133748055987558320373250388802488335925349922239502332814930015552099533437013996889580093312597200622083981337480559875583203732503888024883359253499222395023328149300155521 (220 digits) Sun Mar 21 12:21:58 2010 searching for 15-digit factors Sun Mar 21 12:21:58 2010 commencing number field sieve (220-digit input) Sun Mar 21 12:21:58 2010 R0: -10000000000000000000000000000000000000 Sun Mar 21 12:21:58 2010 R1: 1 Sun Mar 21 12:21:58 2010 A0: 3 Sun Mar 21 12:21:58 2010 A1: 0 Sun Mar 21 12:21:58 2010 A2: 0 Sun Mar 21 12:21:58 2010 A3: 0 Sun Mar 21 12:21:58 2010 A4: 0 Sun Mar 21 12:21:58 2010 A5: 0 Sun Mar 21 12:21:58 2010 A6: 1 Sun Mar 21 12:21:58 2010 skew 1.20, size 5.237129e-11, alpha 2.596324, combined = 2.126294e-12 Sun Mar 21 12:21:58 2010 Sun Mar 21 12:21:58 2010 commencing linear algebra Sun Mar 21 12:21:59 2010 read 6496304 cycles Sun Mar 21 12:22:12 2010 cycles contain 20578290 unique relations Sun Mar 21 12:25:40 2010 read 20578290 relations Sun Mar 21 12:26:17 2010 using 20 quadratic characters above 1073740148 Sun Mar 21 12:27:58 2010 building initial matrix Sun Mar 21 12:32:23 2010 memory use: 2525.8 MB Sun Mar 21 12:32:28 2010 read 6496304 cycles Sun Mar 21 12:32:31 2010 matrix is 6496127 x 6496304 (1959.9 MB) with weight 562586574 (86.60/col) Sun Mar 21 12:32:31 2010 sparse part has weight 442328988 (68.09/col) Sun Mar 21 12:34:01 2010 filtering completed in 2 passes Sun Mar 21 12:34:02 2010 matrix is 6492112 x 6492289 (1959.7 MB) with weight 562488694 (86.64/col) Sun Mar 21 12:34:02 2010 sparse part has weight 442304085 (68.13/col) Sun Mar 21 12:34:47 2010 read 6492289 cycles Sun Mar 21 12:34:50 2010 matrix is 6492112 x 6492289 (1959.7 MB) with weight 562488694 (86.64/col) Sun Mar 21 12:34:50 2010 sparse part has weight 442304085 (68.13/col) Sun Mar 21 12:34:50 2010 saving the first 48 matrix rows for later Sun Mar 21 12:34:53 2010 matrix is 6492064 x 6492289 (1867.6 MB) with weight 456392533 (70.30/col) Sun Mar 21 12:34:53 2010 sparse part has weight 424657668 (65.41/col) Sun Mar 21 12:34:53 2010 matrix includes 64 packed rows Sun Mar 21 12:34:53 2010 using block size 65536 for processor cache size 4096 kB Sun Mar 21 12:35:15 2010 commencing Lanczos iteration (2 threads) Sun Mar 21 12:35:15 2010 memory use: 1932.4 MB Sun Mar 21 12:36:05 2010 linear algebra at 0.0%, ETA 108h34m Sun Mar 21 18:39:39 2010 lanczos halted after 5767 iterations (dim = 364638) Sun Mar 21 18:39:39 2010 BLanczosTime: 22661 Sun Mar 21 18:39:39 2010 elapsed time 06:17:43 Sat Mar 27 00:04:34 2010 Sat Mar 27 00:04:34 2010 Sat Mar 27 00:04:34 2010 Msieve v. 1.44 Sat Mar 27 00:04:34 2010 random seeds: 149a55f9 bd4f0510 Sat Mar 27 00:04:34 2010 factoring 1555209953343701399688958009331259720062208398133748055987558320373250388802488335925349922239502332814930015552099533437013996889580093312597200622083981337480559875583203732503888024883359253499222395023328149300155521 (220 digits) Sat Mar 27 00:04:36 2010 searching for 15-digit factors Sat Mar 27 00:04:37 2010 commencing number field sieve (220-digit input) Sat Mar 27 00:04:37 2010 R0: -10000000000000000000000000000000000000 Sat Mar 27 00:04:37 2010 R1: 1 Sat Mar 27 00:04:37 2010 A0: 3 Sat Mar 27 00:04:37 2010 A1: 0 Sat Mar 27 00:04:37 2010 A2: 0 Sat Mar 27 00:04:37 2010 A3: 0 Sat Mar 27 00:04:37 2010 A4: 0 Sat Mar 27 00:04:37 2010 A5: 0 Sat Mar 27 00:04:37 2010 A6: 1 Sat Mar 27 00:04:37 2010 skew 1.20, size 5.237129e-11, alpha 2.596324, combined = 2.126294e-12 Sat Mar 27 00:04:37 2010 Sat Mar 27 00:04:37 2010 commencing linear algebra Sat Mar 27 00:04:40 2010 read 6492289 cycles Sat Mar 27 00:05:22 2010 matrix is 6492112 x 6492289 (1959.7 MB) with weight 562488694 (86.64/col) Sat Mar 27 00:05:22 2010 sparse part has weight 442304085 (68.13/col) Sat Mar 27 00:05:22 2010 saving the first 48 matrix rows for later Sat Mar 27 00:05:25 2010 matrix is 6492064 x 6492289 (1867.6 MB) with weight 456392533 (70.30/col) Sat Mar 27 00:05:25 2010 sparse part has weight 424657668 (65.41/col) Sat Mar 27 00:05:25 2010 matrix includes 64 packed rows Sat Mar 27 00:05:25 2010 using block size 65536 for processor cache size 4096 kB Sat Mar 27 00:05:48 2010 commencing Lanczos iteration (4 threads) Sat Mar 27 00:05:48 2010 memory use: 2031.5 MB Sat Mar 27 00:05:53 2010 restarting at iteration 98051 (dim = 6200002) Sat Mar 27 00:06:36 2010 linear algebra at 95.5%, ETA 4h34m Sat Mar 27 04:27:40 2010 lanczos halted after 102670 iterations (dim = 6492062) Sat Mar 27 04:27:53 2010 recovered 35 nontrivial dependencies Sat Mar 27 04:27:53 2010 BLanczosTime: 15796 Sat Mar 27 04:27:53 2010 elapsed time 04:23:19 Sat Mar 27 08:20:16 2010 Sat Mar 27 08:20:16 2010 Sat Mar 27 08:20:16 2010 Msieve v. 1.44 Sat Mar 27 08:20:16 2010 random seeds: da8485ad 34f6f8f7 Sat Mar 27 08:20:16 2010 factoring 1555209953343701399688958009331259720062208398133748055987558320373250388802488335925349922239502332814930015552099533437013996889580093312597200622083981337480559875583203732503888024883359253499222395023328149300155521 (220 digits) Sat Mar 27 08:20:18 2010 searching for 15-digit factors Sat Mar 27 08:20:18 2010 commencing number field sieve (220-digit input) Sat Mar 27 08:20:18 2010 R0: -10000000000000000000000000000000000000 Sat Mar 27 08:20:18 2010 R1: 1 Sat Mar 27 08:20:18 2010 A0: 3 Sat Mar 27 08:20:18 2010 A1: 0 Sat Mar 27 08:20:18 2010 A2: 0 Sat Mar 27 08:20:18 2010 A3: 0 Sat Mar 27 08:20:18 2010 A4: 0 Sat Mar 27 08:20:18 2010 A5: 0 Sat Mar 27 08:20:18 2010 A6: 1 Sat Mar 27 08:20:18 2010 skew 1.20, size 5.237129e-11, alpha 2.596324, combined = 2.126294e-12 Sat Mar 27 08:20:18 2010 Sat Mar 27 08:20:18 2010 commencing square root phase Sat Mar 27 08:20:18 2010 reading relations for dependency 1 Sat Mar 27 08:20:19 2010 read 3247589 cycles Sat Mar 27 08:20:25 2010 cycles contain 10289308 unique relations Sat Mar 27 08:23:51 2010 read 10289308 relations Sat Mar 27 08:24:51 2010 multiplying 10289308 relations Sat Mar 27 08:33:56 2010 multiply complete, coefficients have about 248.38 million bits Sat Mar 27 08:33:58 2010 warning: no irreducible prime found, switching to small primes Sat Mar 27 08:33:58 2010 initial square root is modulo 53 Sat Mar 27 08:52:04 2010 Newton iteration failed to converge Sat Mar 27 08:52:04 2010 algebraic square root failed Sat Mar 27 08:52:04 2010 reading relations for dependency 2 Sat Mar 27 08:52:05 2010 read 3244000 cycles Sat Mar 27 08:52:11 2010 cycles contain 10284582 unique relations Sat Mar 27 08:55:33 2010 read 10284582 relations Sat Mar 27 08:56:33 2010 multiplying 10284582 relations Sat Mar 27 09:05:37 2010 multiply complete, coefficients have about 248.26 million bits Sat Mar 27 09:05:40 2010 warning: no irreducible prime found, switching to small primes Sat Mar 27 09:05:40 2010 initial square root is modulo 53 Sat Mar 27 09:23:45 2010 Newton iteration failed to converge Sat Mar 27 09:23:45 2010 algebraic square root failed Sat Mar 27 09:23:45 2010 reading relations for dependency 3 Sat Mar 27 09:23:54 2010 read 3246375 cycles Sat Mar 27 09:24:00 2010 cycles contain 10292890 unique relations Sat Mar 27 09:27:20 2010 read 10292890 relations Sat Mar 27 09:28:20 2010 multiplying 10292890 relations Sat Mar 27 09:37:21 2010 multiply complete, coefficients have about 248.47 million bits Sat Mar 27 09:37:23 2010 warning: no irreducible prime found, switching to small primes Sat Mar 27 09:37:23 2010 initial square root is modulo 53 Sat Mar 27 09:55:29 2010 Newton iteration failed to converge Sat Mar 27 09:55:29 2010 algebraic square root failed Sat Mar 27 09:55:29 2010 reading relations for dependency 4 Sat Mar 27 09:55:38 2010 read 3246171 cycles Sat Mar 27 09:55:45 2010 cycles contain 10289306 unique relations Sat Mar 27 09:59:04 2010 read 10289306 relations Sat Mar 27 10:00:04 2010 multiplying 10289306 relations Sat Mar 27 10:09:08 2010 multiply complete, coefficients have about 248.38 million bits Sat Mar 27 10:09:10 2010 warning: no irreducible prime found, switching to small primes Sat Mar 27 10:09:10 2010 initial square root is modulo 53 Sat Mar 27 10:27:52 2010 Newton iteration failed to converge Sat Mar 27 10:27:53 2010 algebraic square root failed Sat Mar 27 10:27:53 2010 reading relations for dependency 5 Sat Mar 27 10:28:02 2010 read 3245536 cycles Sat Mar 27 10:28:08 2010 cycles contain 10286616 unique relations Sat Mar 27 10:31:32 2010 read 10286616 relations Sat Mar 27 10:32:35 2010 multiplying 10286616 relations Sat Mar 27 10:41:50 2010 multiply complete, coefficients have about 248.32 million bits Sat Mar 27 10:41:52 2010 warning: no irreducible prime found, switching to small primes Sat Mar 27 10:41:52 2010 initial square root is modulo 53 Sat Mar 27 11:00:26 2010 Newton iteration failed to converge Sat Mar 27 11:00:26 2010 algebraic square root failed Sat Mar 27 11:00:26 2010 reading relations for dependency 6 Sat Mar 27 11:00:35 2010 read 3245160 cycles Sat Mar 27 11:00:43 2010 cycles contain 10290394 unique relations Sat Mar 27 11:04:02 2010 read 10290394 relations Sat Mar 27 11:05:05 2010 multiplying 10290394 relations Sat Mar 27 11:14:29 2010 multiply complete, coefficients have about 248.41 million bits Sat Mar 27 11:14:31 2010 warning: no irreducible prime found, switching to small primes Sat Mar 27 11:14:31 2010 initial square root is modulo 53 Sat Mar 27 11:33:22 2010 sqrtTime: 11584 Sat Mar 27 11:33:22 2010 prp76 factor: 3148242305402789635024994608088558482102077976171949233030299168602906097691 Sat Mar 27 11:33:22 2010 prp144 factor: 493993092804439047817632866453697558737161041031127165407362194138422204047269326180080502984324531973469095663174106362848032678697926320138131 Sat Mar 27 11:33:22 2010 elapsed time 03:13:06 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | December 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 260 | Serge Batalov | December 16, 2008 02:12:27 UTC 2008 年 12 月 16 日 (火) 11 時 12 分 27 秒 (日本時間) | |
45 | 11e6 | 2420 / 4421 | 20 | Serge Batalov | December 16, 2008 02:12:27 UTC 2008 年 12 月 16 日 (火) 11 時 12 分 27 秒 (日本時間) |
400 | Serge Batalov | January 16, 2009 20:22:54 UTC 2009 年 1 月 17 日 (土) 5 時 22 分 54 秒 (日本時間) | |||
800 | Dmitry Domanov | January 10, 2010 22:07:47 UTC 2010 年 1 月 11 日 (月) 7 時 7 分 47 秒 (日本時間) | |||
1200 | Markus Tervooren | March 13, 2010 16:55:34 UTC 2010 年 3 月 14 日 (日) 1 時 55 分 34 秒 (日本時間) |
name 名前 | Youcef Lemsafer |
---|---|
date 日付 | October 28, 2013 15:12:56 UTC 2013 年 10 月 29 日 (火) 0 時 12 分 56 秒 (日本時間) |
composite number 合成数 | 2451614495742798461237609954389542919894362289056877538222666783895045972734945304654442736252203756409045872358242450455580423798000910100651491836954045773901763462948420540470156451674925896917129041325046661<211> |
prime factors 素因数 | 913035390674408170115298808706662287133<39> |
composite cofactor 合成数の残り | 2685125374967040401989163497382327282454728048415012512898152480862852100914236515972360509964110016428420201869079658635048467377532096343836117140845175378733243022823817<172> |
factorization results 素因数分解の結果 | GMP-ECM 6.4.4 [configured with MPIR 2.6.0] [ECM] Input number is (10^223+3)/(13^2*269*89724043) (211 digits) Using MODMULN [mulredc:0, sqrredc:0] Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3166333973 dF=32768, k=3, d=324870, d2=11, i0=23 Expected number of curves to find a factor of n digits: 35 40 45 50 55 60 65 70 75 80 122 686 4482 33676 284176 2657998 2.7e+007 3e+008 3.7e+009 4.4e+010 Step 1 took 63991ms Using 25 small primes for NTT Estimated memory usage: 135M Initializing tables of differences for F took 46ms Computing roots of F took 1872ms Building F from its roots took 2871ms Computing 1/F took 1575ms Initializing table of differences for G took 47ms Computing roots of G took 1638ms Building G from its roots took 2870ms Computing roots of G took 1623ms Building G from its roots took 2839ms Computing G * H took 842ms Reducing G * H mod F took 858ms Computing roots of G took 1670ms Building G from its roots took 2823ms Computing G * H took 858ms Reducing G * H mod F took 874ms Computing polyeval(F,G) took 5600ms Computing product of all F(g_i) took 31ms Step 2 took 29079ms ********** Factor found in step 2: 913035390674408170115298808706662287133 Found probable prime factor of 39 digits: 913035390674408170115298808706662287133 Composite cofactor ((10^223+3)/(13^2*269*89724043))/913035390674408170115298808706662287133 has 172 digits |
name 名前 | Youcef Lemsafer |
---|---|
date 日付 | January 29, 2014 13:41:31 UTC 2014 年 1 月 29 日 (水) 22 時 41 分 31 秒 (日本時間) |
composite number 合成数 | 2685125374967040401989163497382327282454728048415012512898152480862852100914236515972360509964110016428420201869079658635048467377532096343836117140845175378733243022823817<172> |
prime factors 素因数 | 384661126691356660780331408224350136361923399807280371354103447<63> 6980495788755706348355702290276263503078451510616540726774399977333855126304290888044409803850241650637759711<109> |
factorization results 素因数分解の結果 | <Sieving rational q from 14000000 to 47800000 with gnfs-lasieve4I14e> <using 4 threads on Intel Xeon W3530 @ 2.8 GHz and 24 threads on> <2x Intel Xeon E5-2620 @ 2.0 GHz took ~5.75 days> <Post-processing using msieve 1.51 win64> Tue Jan 28 09:51:04 2014 Tue Jan 28 09:51:04 2014 Msieve v. 1.51 (SVN Official Release) Tue Jan 28 09:51:04 2014 random seeds: 2b8bae44 69c0b694 Tue Jan 28 09:51:04 2014 factoring 2685125374967040401989163497382327282454728048415012512898152480862852100914236515972360509964110016428420201869079658635048467377532096343836117140845175378733243022823817 (172 digits) Tue Jan 28 09:51:05 2014 searching for 15-digit factors Tue Jan 28 09:51:05 2014 commencing number field sieve (172-digit input) Tue Jan 28 09:51:05 2014 R0: -10000000000000000000000000000000000000 Tue Jan 28 09:51:05 2014 R1: 1 Tue Jan 28 09:51:05 2014 A0: 3 Tue Jan 28 09:51:05 2014 A1: 0 Tue Jan 28 09:51:05 2014 A2: 0 Tue Jan 28 09:51:05 2014 A3: 0 Tue Jan 28 09:51:05 2014 A4: 0 Tue Jan 28 09:51:05 2014 A5: 0 Tue Jan 28 09:51:05 2014 A6: 10 Tue Jan 28 09:51:05 2014 skew 0.82, size 5.851e-011, alpha 0.295, combined = 2.288e-012 rroots = 0 Tue Jan 28 09:51:05 2014 Tue Jan 28 09:51:05 2014 commencing relation filtering Tue Jan 28 09:51:05 2014 estimated available RAM is 32739.1 MB Tue Jan 28 09:51:05 2014 commencing duplicate removal, pass 1 Tue Jan 28 09:55:15 2014 skipped 1 relations with b > 2^32 Tue Jan 28 09:55:15 2014 found 8107409 hash collisions in 49610306 relations Tue Jan 28 09:55:54 2014 added 1218559 free relations Tue Jan 28 09:55:54 2014 commencing duplicate removal, pass 2 Tue Jan 28 09:56:28 2014 found 7484638 duplicates and 43344227 unique relations Tue Jan 28 09:56:28 2014 memory use: 213.2 MB Tue Jan 28 09:56:28 2014 reading ideals above 720000 Tue Jan 28 09:56:29 2014 commencing singleton removal, initial pass Tue Jan 28 10:03:51 2014 memory use: 1378.0 MB Tue Jan 28 10:03:52 2014 reading all ideals from disk Tue Jan 28 10:03:53 2014 memory use: 1574.8 MB Tue Jan 28 10:03:58 2014 keeping 45401217 ideals with weight <= 200, target excess is 224408 Tue Jan 28 10:04:03 2014 commencing in-memory singleton removal Tue Jan 28 10:04:07 2014 begin with 43344227 relations and 45401217 unique ideals Tue Jan 28 10:05:03 2014 reduce to 21982101 relations and 21153049 ideals in 20 passes Tue Jan 28 10:05:03 2014 max relations containing the same ideal: 132 Tue Jan 28 10:05:16 2014 removing 2470964 relations and 2186595 ideals in 284369 cliques Tue Jan 28 10:05:16 2014 commencing in-memory singleton removal Tue Jan 28 10:05:18 2014 begin with 19511137 relations and 21153049 unique ideals Tue Jan 28 10:05:47 2014 reduce to 19247276 relations and 18697572 ideals in 11 passes Tue Jan 28 10:05:47 2014 max relations containing the same ideal: 122 Tue Jan 28 10:05:58 2014 removing 1831178 relations and 1546809 ideals in 284369 cliques Tue Jan 28 10:05:59 2014 commencing in-memory singleton removal Tue Jan 28 10:06:00 2014 begin with 17416098 relations and 18697572 unique ideals Tue Jan 28 10:06:15 2014 reduce to 17263088 relations and 16995280 ideals in 9 passes Tue Jan 28 10:06:15 2014 max relations containing the same ideal: 112 Tue Jan 28 10:06:28 2014 relations with 0 large ideals: 8254 Tue Jan 28 10:06:28 2014 relations with 1 large ideals: 2160 Tue Jan 28 10:06:28 2014 relations with 2 large ideals: 21295 Tue Jan 28 10:06:28 2014 relations with 3 large ideals: 179115 Tue Jan 28 10:06:28 2014 relations with 4 large ideals: 841422 Tue Jan 28 10:06:28 2014 relations with 5 large ideals: 2381716 Tue Jan 28 10:06:28 2014 relations with 6 large ideals: 4186493 Tue Jan 28 10:06:28 2014 relations with 7+ large ideals: 9642633 Tue Jan 28 10:06:28 2014 commencing 2-way merge Tue Jan 28 10:06:42 2014 reduce to 10714359 relation sets and 10446551 unique ideals Tue Jan 28 10:06:42 2014 commencing full merge Tue Jan 28 10:10:50 2014 memory use: 1324.6 MB Tue Jan 28 10:10:52 2014 found 5657981 cycles, need 5620751 Tue Jan 28 10:10:52 2014 weight of 5620751 cycles is about 393497313 (70.01/cycle) Tue Jan 28 10:10:52 2014 distribution of cycle lengths: Tue Jan 28 10:10:52 2014 1 relations: 846737 Tue Jan 28 10:10:52 2014 2 relations: 760338 Tue Jan 28 10:10:52 2014 3 relations: 690658 Tue Jan 28 10:10:52 2014 4 relations: 589934 Tue Jan 28 10:10:52 2014 5 relations: 505554 Tue Jan 28 10:10:52 2014 6 relations: 419223 Tue Jan 28 10:10:52 2014 7 relations: 353333 Tue Jan 28 10:10:52 2014 8 relations: 293459 Tue Jan 28 10:10:52 2014 9 relations: 243366 Tue Jan 28 10:10:52 2014 10+ relations: 918149 Tue Jan 28 10:10:52 2014 heaviest cycle: 24 relations Tue Jan 28 10:10:54 2014 commencing cycle optimization Tue Jan 28 10:11:01 2014 start with 30670329 relations Tue Jan 28 10:12:13 2014 pruned 715121 relations Tue Jan 28 10:12:13 2014 memory use: 1012.6 MB Tue Jan 28 10:12:14 2014 distribution of cycle lengths: Tue Jan 28 10:12:14 2014 1 relations: 846737 Tue Jan 28 10:12:14 2014 2 relations: 775676 Tue Jan 28 10:12:14 2014 3 relations: 713843 Tue Jan 28 10:12:14 2014 4 relations: 601364 Tue Jan 28 10:12:14 2014 5 relations: 514874 Tue Jan 28 10:12:14 2014 6 relations: 422572 Tue Jan 28 10:12:14 2014 7 relations: 354209 Tue Jan 28 10:12:14 2014 8 relations: 291185 Tue Jan 28 10:12:14 2014 9 relations: 240355 Tue Jan 28 10:12:14 2014 10+ relations: 859936 Tue Jan 28 10:12:14 2014 heaviest cycle: 24 relations Tue Jan 28 10:12:20 2014 RelProcTime: 1275 Tue Jan 28 10:12:20 2014 elapsed time 00:21:16 <...snipped...> Tue Jan 28 10:12:58 2014 commencing linear algebra Tue Jan 28 10:13:00 2014 read 5620751 cycles Tue Jan 28 10:13:11 2014 cycles contain 16947742 unique relations Tue Jan 28 10:14:52 2014 read 16947742 relations Tue Jan 28 10:15:27 2014 using 20 quadratic characters above 536870064 Tue Jan 28 10:17:24 2014 building initial matrix Tue Jan 28 10:22:20 2014 memory use: 2230.1 MB Tue Jan 28 10:22:25 2014 read 5620751 cycles Tue Jan 28 10:22:28 2014 matrix is 5620571 x 5620751 (1686.2 MB) with weight 504973925 (89.84/col) Tue Jan 28 10:22:28 2014 sparse part has weight 380206828 (67.64/col) Tue Jan 28 10:23:53 2014 filtering completed in 2 passes Tue Jan 28 10:23:56 2014 matrix is 5615887 x 5616065 (1685.9 MB) with weight 504818333 (89.89/col) Tue Jan 28 10:23:56 2014 sparse part has weight 380160743 (67.69/col) Tue Jan 28 10:24:37 2014 matrix starts at (0, 0) Tue Jan 28 10:24:40 2014 matrix is 5615887 x 5616065 (1685.9 MB) with weight 504818333 (89.89/col) Tue Jan 28 10:24:40 2014 sparse part has weight 380160743 (67.69/col) Tue Jan 28 10:24:40 2014 saving the first 48 matrix rows for later Tue Jan 28 10:24:42 2014 matrix includes 64 packed rows Tue Jan 28 10:24:43 2014 matrix is 5615839 x 5616065 (1610.5 MB) with weight 400262268 (71.27/col) Tue Jan 28 10:24:43 2014 sparse part has weight 366033251 (65.18/col) Tue Jan 28 10:24:43 2014 using block size 65536 for processor cache size 15360 kB Tue Jan 28 10:25:09 2014 commencing Lanczos iteration (16 threads) Tue Jan 28 10:25:09 2014 memory use: 1953.5 MB Tue Jan 28 10:25:36 2014 linear algebra at 0.0%, ETA 26h41m Tue Jan 28 10:25:45 2014 checkpointing every 210000 dimensions Wed Jan 29 13:26:48 2014 lanczos halted after 88814 iterations (dim = 5615834) Wed Jan 29 13:26:58 2014 recovered 35 nontrivial dependencies Wed Jan 29 13:27:00 2014 BLanczosTime: 98042 Wed Jan 29 13:27:00 2014 Wed Jan 29 13:27:00 2014 commencing square root phase Wed Jan 29 13:27:00 2014 reading relations for dependency 1 Wed Jan 29 13:27:02 2014 read 2808348 cycles Wed Jan 29 13:27:06 2014 cycles contain 8472642 unique relations Wed Jan 29 13:27:57 2014 read 8472642 relations Wed Jan 29 13:28:49 2014 multiplying 8472642 relations Wed Jan 29 13:36:36 2014 multiply complete, coefficients have about 231.48 million bits Wed Jan 29 13:36:39 2014 initial square root is modulo 202823497 Wed Jan 29 13:47:03 2014 sqrtTime: 1203 Wed Jan 29 13:47:03 2014 prp63 factor: 384661126691356660780331408224350136361923399807280371354103447 Wed Jan 29 13:47:03 2014 prp109 factor: 6980495788755706348355702290276263503078451510616540726774399977333855126304290888044409803850241650637759711 Wed Jan 29 13:47:03 2014 elapsed time 27:34:07 |
software ソフトウェア | GGNFS (SVN 440), msieve 1.51 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | December 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 300 | Ignacio Santos | June 3, 2011 12:40:05 UTC 2011 年 6 月 3 日 (金) 21 時 40 分 5 秒 (日本時間) | |
40 | 3e6 | 2510 | 110 | Ignacio Santos | June 3, 2011 12:40:05 UTC 2011 年 6 月 3 日 (金) 21 時 40 分 5 秒 (日本時間) |
2400 | Youcef Lemsafer | October 25, 2013 19:02:15 UTC 2013 年 10 月 26 日 (土) 4 時 2 分 15 秒 (日本時間) | |||
45 | 11e6 | 3840 | 32 | Ignacio Santos | June 3, 2011 12:40:05 UTC 2011 年 6 月 3 日 (金) 21 時 40 分 5 秒 (日本時間) |
400 | Youcef Lemsafer | October 25, 2013 21:37:57 UTC 2013 年 10 月 26 日 (土) 6 時 37 分 57 秒 (日本時間) | |||
3408 | Youcef Lemsafer | October 30, 2013 04:59:40 UTC 2013 年 10 月 30 日 (水) 13 時 59 分 40 秒 (日本時間) | |||
50 | 43e6 | 3320 | 2040 | Youcef Lemsafer | October 31, 2013 04:53:27 UTC 2013 年 10 月 31 日 (木) 13 時 53 分 27 秒 (日本時間) |
1280 | Youcef Lemsafer | December 8, 2013 13:50:23 UTC 2013 年 12 月 8 日 (日) 22 時 50 分 23 秒 (日本時間) | |||
55 | 11e7 | 1464 / 16324 | 504 | Youcef Lemsafer | October 31, 2013 20:56:33 UTC 2013 年 11 月 1 日 (金) 5 時 56 分 33 秒 (日本時間) |
960 | Youcef Lemsafer | November 10, 2013 18:25:25 UTC 2013 年 11 月 11 日 (月) 3 時 25 分 25 秒 (日本時間) |
name 名前 | Daniel Morel |
---|---|
date 日付 | February 10, 2017 13:02:41 UTC 2017 年 2 月 10 日 (金) 22 時 2 分 41 秒 (日本時間) |
composite number 合成数 | 338160310995671341657619781587674716045828875421323511536741154709110268731202603626964204530596553363389094045611455397564498846986795306368161432669711887037746593930129253315600450488672903169<195> |
prime factors 素因数 | 12990698891657411076992159311045314886517612608111711<53> 26030955979807745884254818245405455117463020841137848235991631074036576683637020875736166767781501282998012566764565635316004963061923000498079<143> |
factorization results 素因数分解の結果 | Polynomial: X^5 + 30 ; m = 10^45 ; skew = 5 rlim = alim = 36000000 lpbr = lpba = 30 mfbr = mfba = 51 rlambda = alambda = 2.7 qintsize = 100000 Matrix: 5448026 x 5448205 time: 492 days so p53 = 12990698891657411076992159311045314886517612608111711 p143 = 26030955979807745884254818245405455117463020841137848235991631074036576683637020875736166767781501282998012566764565635316004963061923000498079 |
software ソフトウェア | GGNFS-0.77.1 (relations) and MSieve 1.52 (matrix) |
execution environment 実行環境 | Windows 7 (AMD Athlon 2,7 GHz for relations) and Windows 10 (Intel Core I5 3.2 GHz for matrix step) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | December 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 300 | Ignacio Santos | June 3, 2011 12:40:28 UTC 2011 年 6 月 3 日 (金) 21 時 40 分 28 秒 (日本時間) | |
40 | 3e6 | 2510 | 110 | Ignacio Santos | June 3, 2011 12:40:28 UTC 2011 年 6 月 3 日 (金) 21 時 40 分 28 秒 (日本時間) |
2400 | Youcef Lemsafer | October 26, 2013 07:39:46 UTC 2013 年 10 月 26 日 (土) 16 時 39 分 46 秒 (日本時間) | |||
45 | 11e6 | 3503 / 3910 | 32 | Ignacio Santos | June 3, 2011 12:40:28 UTC 2011 年 6 月 3 日 (金) 21 時 40 分 28 秒 (日本時間) |
400 | Youcef Lemsafer | October 26, 2013 07:39:46 UTC 2013 年 10 月 26 日 (土) 16 時 39 分 46 秒 (日本時間) | |||
1023 | Youcef Lemsafer | October 29, 2013 05:28:25 UTC 2013 年 10 月 29 日 (火) 14 時 28 分 25 秒 (日本時間) | |||
2048 | Youcef Lemsafer | November 3, 2013 04:52:26 UTC 2013 年 11 月 3 日 (日) 13 時 52 分 26 秒 (日本時間) |
name 名前 | Robert Backstrom |
---|---|
date 日付 | October 12, 2009 00:46:40 UTC 2009 年 10 月 12 日 (月) 9 時 46 分 40 秒 (日本時間) |
composite number 合成数 | 21276595744680851063829787234042553191489361702127659574468085106382978723404255319148936170212765957446808510638297872340425531914893617021276595744680851063829787234042553191489361702127659574468085106382978723404255319149<224> |
prime factors 素因数 | 55596542276628893687893904461674188425734045987539<50> 5081699578026248101117725776351792155214522626704131970999327867748681087438765113013<85> 75308738556551420873071265981065825474555301071112117762996787038235739437080945584086307<89> |
factorization results 素因数分解の結果 | Sieving ~ 170 CPU days + 147 hrs Lanczos with Msieve 1.42 Mon Oct 5 22:38:47 2009 Mon Oct 5 22:38:47 2009 Mon Oct 5 22:38:47 2009 Msieve v. 1.42 Mon Oct 5 22:38:47 2009 random seeds: a92c9797 c60b7a61 Mon Oct 5 22:38:47 2009 factoring 21276595744680851063829787234042553191489361702127659574468085106382978723404255319148936170212765957446808510638297872340425531914893617021276595744680851063829787234042553191489361702127659574468085106382978723404255319149 (224 digits) Mon Oct 5 22:38:49 2009 no P-1/P+1/ECM available, skipping Mon Oct 5 22:38:49 2009 commencing number field sieve (224-digit input) Mon Oct 5 22:38:49 2009 R0: -20000000000000000000000000000000000000 Mon Oct 5 22:38:49 2009 R1: 1 Mon Oct 5 22:38:49 2009 A0: 24 Mon Oct 5 22:38:49 2009 A1: 0 Mon Oct 5 22:38:49 2009 A2: 0 Mon Oct 5 22:38:49 2009 A3: 0 Mon Oct 5 22:38:49 2009 A4: 0 Mon Oct 5 22:38:49 2009 A5: 0 Mon Oct 5 22:38:49 2009 A6: 125 Mon Oct 5 22:38:49 2009 skew 1.00, size 2.851665e-11, alpha 0.347772, combined = 1.390632e-12 Mon Oct 5 22:38:49 2009 Mon Oct 5 22:38:49 2009 commencing relation filtering Mon Oct 5 22:38:49 2009 estimated available RAM is 7924.4 MB Mon Oct 5 22:38:49 2009 commencing duplicate removal, pass 1 Mon Oct 5 22:39:07 2009 error -11 reading relation 3251910 Mon Oct 5 22:39:54 2009 error -15 reading relation 11873790 Mon Oct 5 22:40:58 2009 error -11 reading relation 23569318 Mon Oct 5 22:41:28 2009 error -6 reading relation 28974234 Mon Oct 5 22:41:34 2009 error -11 reading relation 30144945 Mon Oct 5 22:41:58 2009 error -11 reading relation 34362278 Mon Oct 5 22:42:30 2009 error -11 reading relation 40140606 Mon Oct 5 22:42:49 2009 error -11 reading relation 43702742 Mon Oct 5 22:43:30 2009 error -6 reading relation 51057163 Mon Oct 5 22:43:34 2009 error -11 reading relation 51788557 Mon Oct 5 22:43:36 2009 error -11 reading relation 52106781 Mon Oct 5 22:43:41 2009 error -15 reading relation 52952486 Mon Oct 5 22:44:00 2009 error -11 reading relation 56495038 Mon Oct 5 22:44:01 2009 error -11 reading relation 56678613 Mon Oct 5 22:44:38 2009 error -11 reading relation 63414952 Mon Oct 5 22:44:40 2009 error -11 reading relation 63768255 Mon Oct 5 22:44:41 2009 error -11 reading relation 63804611 Mon Oct 5 22:46:05 2009 error -11 reading relation 79139720 Mon Oct 5 22:46:44 2009 found 12731978 hash collisions in 86131812 relations Mon Oct 5 22:47:05 2009 added 1218273 free relations Mon Oct 5 22:47:05 2009 commencing duplicate removal, pass 2 Mon Oct 5 22:48:25 2009 found 11567825 duplicates and 75782260 unique relations Mon Oct 5 22:48:25 2009 memory use: 394.4 MB Mon Oct 5 22:48:25 2009 reading ideals above 83951616 Mon Oct 5 22:48:25 2009 commencing singleton removal, initial pass Mon Oct 5 22:57:02 2009 memory use: 1193.5 MB Mon Oct 5 22:57:02 2009 reading all ideals from disk Mon Oct 5 22:57:11 2009 memory use: 1256.8 MB Mon Oct 5 22:57:18 2009 commencing in-memory singleton removal Mon Oct 5 22:57:25 2009 begin with 75782260 relations and 70939492 unique ideals Mon Oct 5 22:58:30 2009 reduce to 34052535 relations and 23016820 ideals in 17 passes Mon Oct 5 22:58:30 2009 max relations containing the same ideal: 30 Mon Oct 5 22:58:34 2009 reading ideals above 720000 Mon Oct 5 22:58:35 2009 commencing singleton removal, initial pass Mon Oct 5 23:03:57 2009 memory use: 596.8 MB Mon Oct 5 23:03:58 2009 reading all ideals from disk Mon Oct 5 23:04:09 2009 memory use: 1260.8 MB Mon Oct 5 23:04:18 2009 keeping 32585445 ideals with weight <= 200, target excess is 178408 Mon Oct 5 23:04:26 2009 commencing in-memory singleton removal Mon Oct 5 23:04:34 2009 begin with 34052577 relations and 32585445 unique ideals Mon Oct 5 23:06:37 2009 reduce to 33793542 relations and 32325423 ideals in 15 passes Mon Oct 5 23:06:37 2009 max relations containing the same ideal: 200 Mon Oct 5 23:07:13 2009 removing 3747467 relations and 3347468 ideals in 400000 cliques Mon Oct 5 23:07:14 2009 commencing in-memory singleton removal Mon Oct 5 23:07:22 2009 begin with 30046075 relations and 32325423 unique ideals Mon Oct 5 23:08:41 2009 reduce to 29726997 relations and 28653594 ideals in 11 passes Mon Oct 5 23:08:41 2009 max relations containing the same ideal: 189 Mon Oct 5 23:09:12 2009 removing 2727933 relations and 2327933 ideals in 400000 cliques Mon Oct 5 23:09:14 2009 commencing in-memory singleton removal Mon Oct 5 23:09:21 2009 begin with 26999064 relations and 28653594 unique ideals Mon Oct 5 23:10:18 2009 reduce to 26809549 relations and 26133402 ideals in 9 passes Mon Oct 5 23:10:18 2009 max relations containing the same ideal: 178 Mon Oct 5 23:10:47 2009 removing 2395260 relations and 1995260 ideals in 400000 cliques Mon Oct 5 23:10:48 2009 commencing in-memory singleton removal Mon Oct 5 23:10:54 2009 begin with 24414289 relations and 26133402 unique ideals Mon Oct 5 23:11:41 2009 reduce to 24254867 relations and 23976350 ideals in 8 passes Mon Oct 5 23:11:41 2009 max relations containing the same ideal: 170 Mon Oct 5 23:12:06 2009 removing 546494 relations and 474931 ideals in 71563 cliques Mon Oct 5 23:12:07 2009 commencing in-memory singleton removal Mon Oct 5 23:12:13 2009 begin with 23708373 relations and 23976350 unique ideals Mon Oct 5 23:12:47 2009 reduce to 23699883 relations and 23492905 ideals in 6 passes Mon Oct 5 23:12:47 2009 max relations containing the same ideal: 167 Mon Oct 5 23:12:58 2009 relations with 0 large ideals: 6457 Mon Oct 5 23:12:58 2009 relations with 1 large ideals: 1417 Mon Oct 5 23:12:58 2009 relations with 2 large ideals: 8809 Mon Oct 5 23:12:58 2009 relations with 3 large ideals: 90909 Mon Oct 5 23:12:58 2009 relations with 4 large ideals: 548714 Mon Oct 5 23:12:58 2009 relations with 5 large ideals: 1993979 Mon Oct 5 23:12:58 2009 relations with 6 large ideals: 4494587 Mon Oct 5 23:12:58 2009 relations with 7+ large ideals: 16555011 Mon Oct 5 23:12:58 2009 commencing 2-way merge Mon Oct 5 23:13:32 2009 reduce to 14756653 relation sets and 14549675 unique ideals Mon Oct 5 23:13:32 2009 commencing full merge Mon Oct 5 23:19:52 2009 memory use: 1834.9 MB Mon Oct 5 23:19:54 2009 found 7936903 cycles, need 7909875 Mon Oct 5 23:19:59 2009 weight of 7909875 cycles is about 553733050 (70.01/cycle) Mon Oct 5 23:19:59 2009 distribution of cycle lengths: Mon Oct 5 23:19:59 2009 1 relations: 1091511 Mon Oct 5 23:19:59 2009 2 relations: 1071229 Mon Oct 5 23:19:59 2009 3 relations: 1009555 Mon Oct 5 23:19:59 2009 4 relations: 864999 Mon Oct 5 23:19:59 2009 5 relations: 740720 Mon Oct 5 23:19:59 2009 6 relations: 619505 Mon Oct 5 23:19:59 2009 7 relations: 521785 Mon Oct 5 23:19:59 2009 8 relations: 434165 Mon Oct 5 23:19:59 2009 9 relations: 355277 Mon Oct 5 23:19:59 2009 10+ relations: 1201129 Mon Oct 5 23:19:59 2009 heaviest cycle: 24 relations Mon Oct 5 23:20:01 2009 commencing cycle optimization Mon Oct 5 23:20:20 2009 start with 42551860 relations Mon Oct 5 23:21:46 2009 pruned 932820 relations Mon Oct 5 23:21:46 2009 memory use: 1412.7 MB Mon Oct 5 23:21:46 2009 distribution of cycle lengths: Mon Oct 5 23:21:46 2009 1 relations: 1091511 Mon Oct 5 23:21:46 2009 2 relations: 1091986 Mon Oct 5 23:21:46 2009 3 relations: 1041031 Mon Oct 5 23:21:46 2009 4 relations: 880791 Mon Oct 5 23:21:46 2009 5 relations: 753600 Mon Oct 5 23:21:46 2009 6 relations: 623951 Mon Oct 5 23:21:46 2009 7 relations: 523485 Mon Oct 5 23:21:46 2009 8 relations: 430902 Mon Oct 5 23:21:46 2009 9 relations: 350799 Mon Oct 5 23:21:46 2009 10+ relations: 1121819 Mon Oct 5 23:21:46 2009 heaviest cycle: 23 relations Mon Oct 5 23:22:03 2009 RelProcTime: 2594 Mon Oct 5 23:22:03 2009 Mon Oct 5 23:22:03 2009 commencing linear algebra Mon Oct 5 23:22:09 2009 read 7909875 cycles Mon Oct 5 23:22:25 2009 cycles contain 23546063 unique relations Mon Oct 5 23:24:51 2009 read 23546063 relations Mon Oct 5 23:25:34 2009 using 20 quadratic characters above 1073739680 Mon Oct 5 23:27:32 2009 building initial matrix Mon Oct 5 23:32:17 2009 memory use: 3001.5 MB Mon Oct 5 23:32:22 2009 read 7909875 cycles Mon Oct 5 23:32:28 2009 matrix is 7909697 x 7909875 (2379.0 MB) with weight 699771227 (88.47/col) Mon Oct 5 23:32:28 2009 sparse part has weight 536644660 (67.84/col) Mon Oct 5 23:34:17 2009 filtering completed in 2 passes Mon Oct 5 23:34:19 2009 matrix is 7907420 x 7907598 (2378.9 MB) with weight 699711876 (88.49/col) Mon Oct 5 23:34:19 2009 sparse part has weight 536632510 (67.86/col) Mon Oct 5 23:34:56 2009 read 7907598 cycles Mon Oct 5 23:35:01 2009 matrix is 7907420 x 7907598 (2378.9 MB) with weight 699711876 (88.49/col) Mon Oct 5 23:35:01 2009 sparse part has weight 536632510 (67.86/col) Mon Oct 5 23:35:01 2009 saving the first 48 matrix rows for later Mon Oct 5 23:35:04 2009 matrix is 7907372 x 7907598 (2266.9 MB) with weight 556480788 (70.37/col) Mon Oct 5 23:35:04 2009 sparse part has weight 515190655 (65.15/col) Mon Oct 5 23:35:04 2009 matrix includes 64 packed rows Mon Oct 5 23:35:04 2009 using block size 65536 for processor cache size 6144 kB Mon Oct 5 23:35:35 2009 commencing Lanczos iteration (4 threads) Mon Oct 5 23:35:35 2009 memory use: 2461.2 MB Mon Oct 12 03:14:41 2009 lanczos halted after 125050 iterations (dim = 7907370) Mon Oct 12 03:14:57 2009 recovered 37 nontrivial dependencies Mon Oct 12 03:14:58 2009 BLanczosTime: 532375 Mon Oct 12 03:14:58 2009 Mon Oct 12 03:14:58 2009 commencing square root phase Mon Oct 12 03:14:58 2009 reading relations for dependency 1 Mon Oct 12 03:15:00 2009 read 3953999 cycles Mon Oct 12 03:15:09 2009 cycles contain 14376401 unique relations Mon Oct 12 03:16:52 2009 read 14376401 relations Mon Oct 12 03:18:20 2009 multiplying 11773886 relations Mon Oct 12 03:57:27 2009 multiply complete, coefficients have about 368.81 million bits Mon Oct 12 03:57:30 2009 initial square root is modulo 4146367 Mon Oct 12 04:45:29 2009 reading relations for dependency 2 Mon Oct 12 04:45:32 2009 read 3952310 cycles Mon Oct 12 04:45:41 2009 cycles contain 14373732 unique relations Mon Oct 12 04:47:24 2009 read 14373732 relations Mon Oct 12 04:48:52 2009 multiplying 11772002 relations Mon Oct 12 05:27:58 2009 multiply complete, coefficients have about 368.75 million bits Mon Oct 12 05:28:02 2009 initial square root is modulo 4136383 Mon Oct 12 06:16:19 2009 reading relations for dependency 3 Mon Oct 12 06:16:23 2009 read 3954075 cycles Mon Oct 12 06:16:32 2009 cycles contain 14379643 unique relations Mon Oct 12 06:18:15 2009 read 14379643 relations Mon Oct 12 06:19:42 2009 multiplying 11773544 relations Mon Oct 12 06:58:48 2009 multiply complete, coefficients have about 368.80 million bits Mon Oct 12 06:58:51 2009 initial square root is modulo 4144423 Mon Oct 12 07:46:39 2009 reading relations for dependency 4 Mon Oct 12 07:46:43 2009 read 3955162 cycles Mon Oct 12 07:46:51 2009 cycles contain 14381706 unique relations Mon Oct 12 07:48:34 2009 read 14381706 relations Mon Oct 12 07:50:02 2009 multiplying 11775114 relations Mon Oct 12 08:29:07 2009 multiply complete, coefficients have about 368.85 million bits Mon Oct 12 08:29:10 2009 initial square root is modulo 4153753 Mon Oct 12 09:17:18 2009 reading relations for dependency 5 Mon Oct 12 09:17:22 2009 read 3955387 cycles Mon Oct 12 09:17:31 2009 cycles contain 14382445 unique relations Mon Oct 12 09:19:14 2009 read 14382445 relations Mon Oct 12 09:20:42 2009 multiplying 11776370 relations Mon Oct 12 09:59:46 2009 multiply complete, coefficients have about 368.89 million bits Mon Oct 12 09:59:49 2009 initial square root is modulo 4159699 Mon Oct 12 10:47:38 2009 sqrtTime: 27160 Mon Oct 12 10:47:38 2009 prp50 factor: 55596542276628893687893904461674188425734045987539 Mon Oct 12 10:47:38 2009 prp85 factor: 5081699578026248101117725776351792155214522626704131970999327867748681087438765113013 Mon Oct 12 10:47:38 2009 prp89 factor: 75308738556551420873071265981065825474555301071112117762996787038235739437080945584086307 Mon Oct 12 10:47:38 2009 elapsed time 156:08:51 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | December 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 260 | Serge Batalov | December 16, 2008 02:12:01 UTC 2008 年 12 月 16 日 (火) 11 時 12 分 1 秒 (日本時間) | |
45 | 11e6 | 3620 / 4421 | 20 | Serge Batalov | December 16, 2008 02:12:01 UTC 2008 年 12 月 16 日 (火) 11 時 12 分 1 秒 (日本時間) |
3200 | Serge Batalov | December 29, 2008 22:06:18 UTC 2008 年 12 月 30 日 (火) 7 時 6 分 18 秒 (日本時間) | |||
400 | Serge Batalov | January 16, 2009 20:22:15 UTC 2009 年 1 月 17 日 (土) 5 時 22 分 15 秒 (日本時間) |
name 名前 | Daniel Morel |
---|---|
date 日付 | March 6, 2018 16:21:52 UTC 2018 年 3 月 7 日 (水) 1 時 21 分 52 秒 (日本時間) |
composite number 合成数 | 149844269213987113270516108112325990629275497390228465128673262699071996750762376707578918116965186423563376854164193031946190009312430389227025510839710178521837055715516444664922173137652295903796631770611<207> |
prime factors 素因数 | 46437523419624340982044974630626670929833772118148423590418685581135143231194671302115835591340473209<101> 3226792864467518735501210746441067918371571938659326374471641706348941250858992315649693696803655304811979<106> |
factorization results 素因数分解の結果 | Polynomial: X^6 + 300 ; m = 10^38 ; skew = 5 rlim = alim = 45000000 lpbr = lpba = 30 mfbr = mfba = 53 rlambda = alambda = 2.7 qintsize = 100000 Matrix: 5197688 x 5197865 time: 240 days or so p101 = 46437523419624340982044974630626670929833772118148423590418685581135143231194671302115835591340473209 p106 = 3226792864467518735501210746441067918371571938659326374471641706348941250858992315649693696803655304811979 |
software ソフトウェア | GGNFS-0.77.1 (relations) and MSieve 1.52 (matrix) |
execution environment 実行環境 | Windows 7 (AMD Athlon 2,7 GHz for relations) and Windows 10 (Intel Core I5 3.2 GHz for matrix step) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | December 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 300 | Ignacio Santos | June 3, 2011 13:33:19 UTC 2011 年 6 月 3 日 (金) 22 時 33 分 19 秒 (日本時間) | |
40 | 3e6 | 2510 | 110 | Ignacio Santos | June 3, 2011 13:33:19 UTC 2011 年 6 月 3 日 (金) 22 時 33 分 19 秒 (日本時間) |
2400 | Youcef Lemsafer | October 26, 2013 13:19:42 UTC 2013 年 10 月 26 日 (土) 22 時 19 分 42 秒 (日本時間) | |||
45 | 11e6 | 3503 / 3910 | 32 | Ignacio Santos | June 3, 2011 13:33:19 UTC 2011 年 6 月 3 日 (金) 22 時 33 分 19 秒 (日本時間) |
400 | Youcef Lemsafer | October 26, 2013 17:07:16 UTC 2013 年 10 月 27 日 (日) 2 時 7 分 16 秒 (日本時間) | |||
1023 | Youcef Lemsafer | October 29, 2013 09:42:57 UTC 2013 年 10 月 29 日 (火) 18 時 42 分 57 秒 (日本時間) | |||
2048 | Youcef Lemsafer | November 3, 2013 15:26:06 UTC 2013 年 11 月 4 日 (月) 0 時 26 分 6 秒 (日本時間) |
name 名前 | Daniel Morel |
---|---|
date 日付 | November 28, 2019 19:32:45 UTC 2019 年 11 月 29 日 (金) 4 時 32 分 45 秒 (日本時間) |
composite number 合成数 | 1303937083905476997501540852798070957677781158059309006089273235934202003529500093511127391163266404301634990770786547912566140543169063266270658616274046756970645414747280602308503190694407555601452288281206053<211> |
prime factors 素因数 | 1751683558006458131843706379836092654766879310388483899256511916202732381916576921981257816418503173<100> 744390776487878425198841289119468480830470328725117848541797491037565711718080518772968340566781185841295462561<111> |
factorization results 素因数分解の結果 | Polynomial: X^6 + 30 ; m = 10^38 ; skew = 2.8 rlim = alim = 41000000 lpbr = lpba = 30 mfbr = mfba = 55 rlambda = alambda = 2.7 qintsize = 100000 Matrix: 5989433 x 5989610 time: 192 days p100 = 1751683558006458131843706379836092654766879310388483899256511916202732381916576921981257816418503173 p111 = 744390776487878425198841289119468480830470328725117848541797491037565711718080518772968340566781185841295462561 |
software ソフトウェア | GGNFS-0.77.1 (relations) and MSieve 1.52 (matrix) |
execution environment 実行環境 | Windows 7 (AMD Athlon 2,7 GHz for relations) and Windows 10 (Intel Core I5 3.2 GHz for matrix step) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | December 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 300 | Ignacio Santos | June 3, 2011 15:01:47 UTC 2011 年 6 月 4 日 (土) 0 時 1 分 47 秒 (日本時間) | |
40 | 3e6 | 2156 | 110 | Ignacio Santos | June 3, 2011 15:01:47 UTC 2011 年 6 月 4 日 (土) 0 時 1 分 47 秒 (日本時間) |
2046 | Youcef Lemsafer | October 29, 2013 16:22:01 UTC 2013 年 10 月 30 日 (水) 1 時 22 分 1 秒 (日本時間) | |||
45 | 11e6 | 2578 / 3988 | 32 | Ignacio Santos | June 3, 2011 15:01:47 UTC 2011 年 6 月 4 日 (土) 0 時 1 分 47 秒 (日本時間) |
498 | Youcef Lemsafer | October 29, 2013 19:46:36 UTC 2013 年 10 月 30 日 (水) 4 時 46 分 36 秒 (日本時間) | |||
2048 | Youcef Lemsafer | November 4, 2013 05:09:36 UTC 2013 年 11 月 4 日 (月) 14 時 9 分 36 秒 (日本時間) |
name 名前 | Serge Batalov |
---|---|
date 日付 | March 20, 2011 19:23:18 UTC 2011 年 3 月 21 日 (月) 4 時 23 分 18 秒 (日本時間) |
composite number 合成数 | 3354236512997066115957206225930999743339925877410497521481149353858557833379730711016115321338655398055287404773435653056412792384846025310346612111629443231904356775596779664016308395618811651<193> |
prime factors 素因数 | 18280536504154522938833644798694650223149<41> 183486765404000377128641658552037408244939377334748204695593827970529162048666372445631007013282420737215114704493178191568823429827267948141302062345199<153> |
factorization results 素因数分解の結果 | Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=3092122343 Step 1 took 9617ms Step 2 took 4092ms ********** Factor found in step 2: 18280536504154522938833644798694650223149 Found probable prime factor of 41 digits: 18280536504154522938833644798694650223149 Probable prime cofactor 183486765404000377128641658552037408244939377334748204695593827970529162048666372445631007013282420737215114704493178191568823429827267948141302062345199 has 153 digits |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | December 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間) |
name 名前 | Youcef Lemsafer |
---|---|
date 日付 | November 4, 2013 17:56:39 UTC 2013 年 11 月 5 日 (火) 2 時 56 分 39 秒 (日本時間) |
composite number 合成数 | 41822171647168362658352103882111412836230392514870274089792629749055918393230577260423231314963473007967384952850787060019323657056401447371346520887078649761413767<164> |
prime factors 素因数 | 441443102327959808491392217234487702469085279<45> 1786154442378392850030230903138274176856789626087550133<55> 53041138430459914838989073642744926435565547785444912322629903381<65> |
factorization results 素因数分解の結果 | GMP-ECM 6.4.4 [configured with MPIR 2.6.0] [ECM] Input number is (10^229+3)/(13*23*43*12043*1014358410733*220535229192001*6903187661215142971687367557123) (164 digits) Using MODMULN [mulredc:0, sqrredc:0] Using B1=31000000, B2=144289975846, polynomial Dickson(12), sigma=328228008 dF=65536, k=3, d=690690, d2=17, i0=28 Expected number of curves to find a factor of n digits: 35 40 45 50 55 60 65 70 75 80 66 310 1703 10622 73962 567973 4760535 4.3e+007 4.3e+008 4.5e+009 Step 1 took 221880ms Using 20 small primes for NTT Estimated memory usage: 230M Initializing tables of differences for F took 62ms Computing roots of F took 4275ms Building F from its roots took 7410ms Computing 1/F took 3323ms Initializing table of differences for G took 63ms Computing roots of G took 3946ms Building G from its roots took 7972ms Computing roots of G took 4680ms Building G from its roots took 7426ms Computing G * H took 1653ms Reducing G * H mod F took 1981ms Computing roots of G took 4930ms Building G from its roots took 7457ms Computing G * H took 2012ms Reducing G * H mod F took 2091ms Computing polyeval(F,G) took 14945ms Computing product of all F(g_i) took 47ms Step 2 took 74631ms ********** Factor found in step 2: 441443102327959808491392217234487702469085279 Found probable prime factor of 45 digits: 441443102327959808491392217234487702469085279 Composite cofactor ((10^229+3)/(13*23*43*12043*1014358410733*220535229192001*6903187661215142971687367557123))/441443102327959808491392217234487702469085279 has 119 digits Mon Nov 04 14:32:49 2013 -> factmsieve.py (v0.76) Mon Nov 04 14:32:49 2013 -> This is client 1 of 1 Mon Nov 04 14:32:49 2013 -> Running on 12 Cores with 2 hyper-threads per Core Mon Nov 04 14:32:49 2013 -> Working with NAME = 10003_229 Mon Nov 04 14:32:49 2013 -> Running polynomial selection ... Mon Nov 04 14:32:49 2013 Mon Nov 04 14:32:49 2013 Mon Nov 04 14:32:49 2013 Msieve v. 1.50 (SVN 708) Mon Nov 04 14:32:49 2013 random seeds: e0d64680 2f21e3b5 Mon Nov 04 14:32:49 2013 factoring 94739665036373272532151784181371363807291378987966483602428694263842160324946006788899733397309812848242712456783699673 (119 digits) Mon Nov 04 14:32:50 2013 searching for 15-digit factors Mon Nov 04 14:32:51 2013 commencing number field sieve (119-digit input) Mon Nov 04 14:32:51 2013 commencing number field sieve polynomial selection Mon Nov 04 14:32:51 2013 time limit set to 3.63 CPU-hours Mon Nov 04 14:32:51 2013 expecting poly E from 3.25e-010 to 3.74e-010 Mon Nov 04 14:32:51 2013 searching leading coefficients from 1 to 296282 Mon Nov 04 15:25:06 2013 polynomial selection complete Mon Nov 04 15:25:06 2013 R0: -213017387539270353943693 Mon Nov 04 15:25:06 2013 R1: 475361151671 Mon Nov 04 15:25:06 2013 A0: -7747176833691078026286572605440 Mon Nov 04 15:25:06 2013 A1: 40768983656856893132872616 Mon Nov 04 15:25:06 2013 A2: -91321118346630517654 Mon Nov 04 15:25:06 2013 A3: -118583425993291 Mon Nov 04 15:25:06 2013 A4: 629162070 Mon Nov 04 15:25:06 2013 A5: 216 Mon Nov 04 15:25:06 2013 skew 649904.03, size 2.454e-011, alpha -7.205, combined = 3.578e-010 rroots = 3 Mon Nov 04 15:25:06 2013 elapsed time 00:52:17 <snip> Mon Nov 04 15:33:59 2013 -> Selected lattice siever: gnfs-lasieve4I13e Mon Nov 04 15:33:59 2013 -> Creating param file to detect parameter changes... Mon Nov 04 15:34:00 2013 -> Running setup ... Mon Nov 04 15:34:00 2013 -> Estimated minimum relations needed: 8.7e+06 Mon Nov 04 15:34:00 2013 -> cleaning up before a restart Mon Nov 04 15:34:00 2013 -> Running lattice siever ... Mon Nov 04 15:34:00 2013 -> entering sieving loop <snip> Mon Nov 04 16:04:12 2013 Found 1990208 relations, 22.9% of the estimated minimum (8700000). <snip> Mon Nov 04 16:40:47 2013 Found 4651833 relations, 53.5% of the estimated minimum (8700000). <snip> Mon Nov 04 17:47:13 2013 Found 9336073 relations, 107.3% of the estimated minimum (8700000). <snip> Mon Nov 04 17:59:17 2013 Found 10051914 relations, 115.5% of the estimated minimum (8700000). <snip> Mon Nov 04 17:59:18 2013 Mon Nov 04 17:59:18 2013 commencing relation filtering Mon Nov 04 17:59:19 2013 estimated available RAM is 4096.0 MB Mon Nov 04 17:59:19 2013 commencing duplicate removal, pass 1 Mon Nov 04 18:00:18 2013 found 946438 hash collisions in 10051913 relations Mon Nov 04 18:00:41 2013 added 208 free relations Mon Nov 04 18:00:41 2013 commencing duplicate removal, pass 2 Mon Nov 04 18:00:47 2013 found 695288 duplicates and 9356833 unique relations Mon Nov 04 18:00:47 2013 memory use: 34.6 MB Mon Nov 04 18:00:47 2013 reading ideals above 100000 Mon Nov 04 18:00:47 2013 commencing singleton removal, initial pass Mon Nov 04 18:02:10 2013 memory use: 344.5 MB Mon Nov 04 18:02:10 2013 reading all ideals from disk Mon Nov 04 18:02:10 2013 memory use: 327.5 MB Mon Nov 04 18:02:11 2013 keeping 10420418 ideals with weight <= 200, target excess is 48942 Mon Nov 04 18:02:11 2013 commencing in-memory singleton removal Mon Nov 04 18:02:12 2013 begin with 9356833 relations and 10420418 unique ideals Mon Nov 04 18:02:17 2013 reduce to 3134287 relations and 3031539 ideals in 21 passes Mon Nov 04 18:02:17 2013 max relations containing the same ideal: 96 Mon Nov 04 18:02:18 2013 removing 307390 relations and 284402 ideals in 22988 cliques Mon Nov 04 18:02:19 2013 commencing in-memory singleton removal Mon Nov 04 18:02:19 2013 begin with 2826897 relations and 3031539 unique ideals Mon Nov 04 18:02:20 2013 reduce to 2803085 relations and 2723049 ideals in 9 passes Mon Nov 04 18:02:20 2013 max relations containing the same ideal: 88 Mon Nov 04 18:02:21 2013 removing 221939 relations and 198951 ideals in 22988 cliques Mon Nov 04 18:02:21 2013 commencing in-memory singleton removal Mon Nov 04 18:02:21 2013 begin with 2581146 relations and 2723049 unique ideals Mon Nov 04 18:02:22 2013 reduce to 2566878 relations and 2509681 ideals in 8 passes Mon Nov 04 18:02:22 2013 max relations containing the same ideal: 84 Mon Nov 04 18:02:24 2013 relations with 0 large ideals: 129 Mon Nov 04 18:02:24 2013 relations with 1 large ideals: 470 Mon Nov 04 18:02:24 2013 relations with 2 large ideals: 7396 Mon Nov 04 18:02:24 2013 relations with 3 large ideals: 59199 Mon Nov 04 18:02:24 2013 relations with 4 large ideals: 247355 Mon Nov 04 18:02:24 2013 relations with 5 large ideals: 578972 Mon Nov 04 18:02:24 2013 relations with 6 large ideals: 773821 Mon Nov 04 18:02:24 2013 relations with 7+ large ideals: 899536 Mon Nov 04 18:02:24 2013 commencing 2-way merge Mon Nov 04 18:02:25 2013 reduce to 1416157 relation sets and 1358963 unique ideals Mon Nov 04 18:02:25 2013 ignored 3 oversize relation sets Mon Nov 04 18:02:25 2013 commencing full merge Mon Nov 04 18:02:46 2013 memory use: 128.7 MB Mon Nov 04 18:02:46 2013 found 707418 cycles, need 701163 Mon Nov 04 18:02:46 2013 weight of 701163 cycles is about 49119111 (70.05/cycle) Mon Nov 04 18:02:46 2013 distribution of cycle lengths: Mon Nov 04 18:02:46 2013 1 relations: 86030 Mon Nov 04 18:02:46 2013 2 relations: 85598 Mon Nov 04 18:02:46 2013 3 relations: 85719 Mon Nov 04 18:02:46 2013 4 relations: 75391 Mon Nov 04 18:02:46 2013 5 relations: 63745 Mon Nov 04 18:02:46 2013 6 relations: 55283 Mon Nov 04 18:02:46 2013 7 relations: 46274 Mon Nov 04 18:02:46 2013 8 relations: 38154 Mon Nov 04 18:02:46 2013 9 relations: 31289 Mon Nov 04 18:02:46 2013 10+ relations: 133680 Mon Nov 04 18:02:46 2013 heaviest cycle: 24 relations Mon Nov 04 18:02:46 2013 commencing cycle optimization Mon Nov 04 18:02:47 2013 start with 4160454 relations Mon Nov 04 18:02:55 2013 pruned 71635 relations Mon Nov 04 18:02:55 2013 memory use: 115.0 MB Mon Nov 04 18:02:55 2013 distribution of cycle lengths: Mon Nov 04 18:02:55 2013 1 relations: 86030 Mon Nov 04 18:02:55 2013 2 relations: 87320 Mon Nov 04 18:02:55 2013 3 relations: 88141 Mon Nov 04 18:02:55 2013 4 relations: 76466 Mon Nov 04 18:02:55 2013 5 relations: 64706 Mon Nov 04 18:02:55 2013 6 relations: 55348 Mon Nov 04 18:02:55 2013 7 relations: 46140 Mon Nov 04 18:02:55 2013 8 relations: 37770 Mon Nov 04 18:02:55 2013 9 relations: 30906 Mon Nov 04 18:02:55 2013 10+ relations: 128336 Mon Nov 04 18:02:55 2013 heaviest cycle: 24 relations Mon Nov 04 18:02:55 2013 RelProcTime: 217 Mon Nov 04 18:02:55 2013 elapsed time 00:03:38 Mon Nov 04 18:02:55 2013 LatSieveTime: 773.886 Mon Nov 04 18:02:55 2013 -> Running matrix solving step ... Mon Nov 04 18:02:55 2013 Mon Nov 04 18:02:55 2013 <snip> Mon Nov 04 18:02:57 2013 commencing linear algebra Mon Nov 04 18:02:57 2013 read 701163 cycles Mon Nov 04 18:02:58 2013 cycles contain 2490622 unique relations Mon Nov 04 18:03:14 2013 read 2490622 relations Mon Nov 04 18:03:17 2013 using 20 quadratic characters above 134217324 Mon Nov 04 18:03:30 2013 building initial matrix Mon Nov 04 18:04:01 2013 memory use: 288.1 MB Mon Nov 04 18:04:02 2013 read 701163 cycles Mon Nov 04 18:04:03 2013 matrix is 700982 x 701163 (199.5 MB) with weight 66457950 (94.78/col) Mon Nov 04 18:04:03 2013 sparse part has weight 47387622 (67.58/col) Mon Nov 04 18:04:09 2013 filtering completed in 2 passes Mon Nov 04 18:04:10 2013 matrix is 698953 x 699133 (199.3 MB) with weight 66373645 (94.94/col) Mon Nov 04 18:04:10 2013 sparse part has weight 47361665 (67.74/col) Mon Nov 04 18:04:11 2013 matrix starts at (0, 0) Mon Nov 04 18:04:11 2013 matrix is 698953 x 699133 (199.3 MB) with weight 66373645 (94.94/col) Mon Nov 04 18:04:11 2013 sparse part has weight 47361665 (67.74/col) Mon Nov 04 18:04:11 2013 saving the first 48 matrix rows for later Mon Nov 04 18:04:12 2013 matrix includes 64 packed rows Mon Nov 04 18:04:12 2013 matrix is 698905 x 699133 (192.1 MB) with weight 52752954 (75.45/col) Mon Nov 04 18:04:12 2013 sparse part has weight 46156851 (66.02/col) Mon Nov 04 18:04:12 2013 using block size 65536 for processor cache size 15360 kB Mon Nov 04 18:04:17 2013 commencing Lanczos iteration (24 threads) Mon Nov 04 18:04:17 2013 memory use: 278.5 MB Mon Nov 04 18:04:22 2013 linear algebra at 0.4%, ETA 0h19m Mon Nov 04 18:23:30 2013 lanczos halted after 11054 iterations (dim = 698905) Mon Nov 04 18:23:31 2013 recovered 31 nontrivial dependencies Mon Nov 04 18:23:31 2013 BLanczosTime: 1234 Mon Nov 04 18:23:31 2013 elapsed time 00:20:36 Mon Nov 04 18:23:31 2013 -> Running square root step ... Mon Nov 04 18:23:31 2013 <snip> Mon Nov 04 18:23:32 2013 commencing square root phase Mon Nov 04 18:23:32 2013 reading relations for dependency 1 Mon Nov 04 18:23:33 2013 read 349762 cycles Mon Nov 04 18:23:33 2013 cycles contain 1245592 unique relations Mon Nov 04 18:23:42 2013 read 1245592 relations Mon Nov 04 18:23:48 2013 multiplying 1245592 relations Mon Nov 04 18:26:02 2013 multiply complete, coefficients have about 49.69 million bits Mon Nov 04 18:26:03 2013 initial square root is modulo 13605601 Mon Nov 04 18:28:53 2013 GCD is 1, no factor found Mon Nov 04 18:28:53 2013 reading relations for dependency 2 Mon Nov 04 18:28:53 2013 read 349162 cycles Mon Nov 04 18:28:54 2013 cycles contain 1244000 unique relations Mon Nov 04 18:29:03 2013 read 1244000 relations Mon Nov 04 18:29:08 2013 multiplying 1244000 relations Mon Nov 04 18:31:23 2013 multiply complete, coefficients have about 49.62 million bits Mon Nov 04 18:31:24 2013 initial square root is modulo 13320617 Mon Nov 04 18:34:16 2013 GCD is 1, no factor found Mon Nov 04 18:34:16 2013 reading relations for dependency 3 Mon Nov 04 18:34:16 2013 read 349974 cycles Mon Nov 04 18:34:17 2013 cycles contain 1245968 unique relations Mon Nov 04 18:34:26 2013 read 1245968 relations Mon Nov 04 18:34:31 2013 multiplying 1245968 relations Mon Nov 04 18:36:46 2013 multiply complete, coefficients have about 49.70 million bits Mon Nov 04 18:36:47 2013 initial square root is modulo 13675861 Mon Nov 04 18:39:37 2013 GCD is 1, no factor found Mon Nov 04 18:39:37 2013 reading relations for dependency 4 Mon Nov 04 18:39:37 2013 read 349769 cycles Mon Nov 04 18:39:38 2013 cycles contain 1245918 unique relations Mon Nov 04 18:39:47 2013 read 1245918 relations Mon Nov 04 18:39:52 2013 multiplying 1245918 relations Mon Nov 04 18:42:06 2013 multiply complete, coefficients have about 49.70 million bits Mon Nov 04 18:42:07 2013 initial square root is modulo 13656439 Mon Nov 04 18:44:57 2013 sqrtTime: 1285 Mon Nov 04 18:44:57 2013 prp55 factor: 1786154442378392850030230903138274176856789626087550133 Mon Nov 04 18:44:57 2013 prp65 factor: 53041138430459914838989073642744926435565547785444912322629903381 Mon Nov 04 18:44:57 2013 elapsed time 00:21:26 Mon Nov 04 18:44:57 2013 -> Computing 1.38359e+09 scale for this machine... Mon Nov 04 18:44:57 2013 -> procrels -speedtest> PIPE Mon Nov 04 18:45:02 2013 -> Factorization summary written to g119-10003_229.txt Number: 10003_229 N = 94739665036373272532151784181371363807291378987966483602428694263842160324946006788899733397309812848242712456783699673 (119 digits) Divisors found: r1=1786154442378392850030230903138274176856789626087550133 (pp55) r2=53041138430459914838989073642744926435565547785444912322629903381 (pp65) Version: Msieve v. 1.50 (SVN 708) Total time: 3.19 hours. Factorization parameters were as follows: n: 94739665036373272532151784181371363807291378987966483602428694263842160324946006788899733397309812848242712456783699673 Y0: -213017387539270353943693 Y1: 475361151671 c0: -7747176833691078026286572605440 c1: 40768983656856893132872616 c2: -91321118346630517654 c3: -118583425993291 c4: 629162070 c5: 216 skew: 649904.03 type: gnfs Factor base limits: 4000000/4000000 Large primes per side: 3 Large prime bits: 27/27 Sieved algebraic special-q in [0, 0) Total raw relations: 10051914 Relations: 1245918 relations Pruned matrix : 698905 x 699133 Polynomial selection time: 0.00 hours. Total sieving time: 2.43 hours. Total relation processing time: 0.06 hours. Matrix solve time: 0.34 hours. time per square root: 0.36 hours. Prototype def-par.txt line would be: gnfs,118,5,63,2000,2.6e-05,0.28,250,20,50000,3600,4000000,4000000,27,27,53,53,2.5,2.5,100000 total time: 3.19 hours. Intel64 Family 6 Model 45 Stepping 7, GenuineIntel Windows-7-6.1.7601-SP1 processors: 24, speed: 2.00GHz |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | December 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 300 | Ignacio Santos | June 3, 2011 16:19:32 UTC 2011 年 6 月 4 日 (土) 1 時 19 分 32 秒 (日本時間) | |
40 | 3e6 | 2156 | 110 | Ignacio Santos | June 3, 2011 16:19:32 UTC 2011 年 6 月 4 日 (土) 1 時 19 分 32 秒 (日本時間) |
2046 | Youcef Lemsafer | October 30, 2013 05:02:20 UTC 2013 年 10 月 30 日 (水) 14 時 2 分 20 秒 (日本時間) | |||
45 | 11e6 | 530 / 3988 | 32 | Ignacio Santos | June 3, 2011 16:19:32 UTC 2011 年 6 月 4 日 (土) 1 時 19 分 32 秒 (日本時間) |
498 | Youcef Lemsafer | October 30, 2013 05:03:03 UTC 2013 年 10 月 30 日 (水) 14 時 3 分 3 秒 (日本時間) |
name 名前 | Youcef Lemsafer |
---|---|
date 日付 | November 4, 2013 13:42:40 UTC 2013 年 11 月 4 日 (月) 22 時 42 分 40 秒 (日本時間) |
composite number 合成数 | 33159210751548739457663168065966357235710749244898878885022455838606903280723960565131406197561172964013447047118882534500031725611907359212089342739490906833377972707266647735064712723311327108271<197> |
prime factors 素因数 | 41157710654623035998562470154261280015003<41> |
composite cofactor 合成数の残り | 805662176640627464355171845792822385202368652865353187016254674881179155975121347213344718899103379577999271828240528807239725172541299776705360252866917757<156> |
factorization results 素因数分解の結果 | GMP-ECM 6.4.4 [configured with MPIR 2.6.0] [ECM] Input number is (10^230+3)/(19*5857*27099856425841234316222408671) (197 digits) Using MODMULN [mulredc:0, sqrredc:0] Using B1=31000000, B2=144289975846, polynomial Dickson(12), sigma=4076306952 dF=65536, k=3, d=690690, d2=17, i0=28 Expected number of curves to find a factor of n digits: 35 40 45 50 55 60 65 70 75 80 66 310 1703 10622 73962 567973 4760535 4.3e+007 4.3e+008 4.5e+009 Step 1 took 180056ms Using 24 small primes for NTT Estimated memory usage: 273M Initializing tables of differences for F took 62ms Computing roots of F took 3994ms Building F from its roots took 6163ms Computing 1/F took 3058ms Initializing table of differences for G took 78ms Computing roots of G took 3276ms Building G from its roots took 6177ms Computing roots of G took 3276ms Building G from its roots took 6131ms Computing G * H took 1716ms Reducing G * H mod F took 1701ms Computing roots of G took 3292ms Building G from its roots took 6068ms Computing G * H took 1653ms Reducing G * H mod F took 1825ms Computing polyeval(F,G) took 11997ms Computing product of all F(g_i) took 47ms Step 2 took 60809ms ********** Factor found in step 2: 41157710654623035998562470154261280015003 Found probable prime factor of 41 digits: 41157710654623035998562470154261280015003 Composite cofactor ((10^230+3)/(19*5857*27099856425841234316222408671))/41157710654623035998562470154261280015003 has 156 digits |
name 名前 | Youcef Lemsafer |
---|---|
date 日付 | January 21, 2014 19:59:04 UTC 2014 年 1 月 22 日 (水) 4 時 59 分 4 秒 (日本時間) |
composite number 合成数 | 805662176640627464355171845792822385202368652865353187016254674881179155975121347213344718899103379577999271828240528807239725172541299776705360252866917757<156> |
prime factors 素因数 | 412674380143132505444100113292838737928002726481248634807206698959<66> 1952295115488367785538426166213577040689756968158638608959545920438440798927174451426606323<91> |
factorization results 素因数分解の結果 | <Polynomial selection using msieve 1.52-dev (SVN 942) win64 CUDA> Sat Jan 04 13:44:58 2014 Msieve v. 1.52 (SVN unknown) Sat Jan 04 13:44:58 2014 random seeds: d4dff900 fa6d776a Sat Jan 04 13:44:58 2014 factoring 805662176640627464355171845792822385202368652865353187016254674881179155975121347213344718899103379577999271828240528807239725172541299776705360252866917757 (156 digits) Sat Jan 04 13:45:01 2014 searching for 15-digit factors Sat Jan 04 13:45:12 2014 commencing number field sieve (156-digit input) Sat Jan 04 13:45:12 2014 commencing number field sieve polynomial selection Sat Jan 04 13:45:12 2014 polynomial degree: 5 Sat Jan 04 13:45:12 2014 max stage 1 norm: 1.17e+024 Sat Jan 04 13:45:12 2014 max stage 2 norm: 8.68e+021 Sat Jan 04 13:45:12 2014 min E-value: 1.71e-012 Sat Jan 04 13:45:12 2014 poly select deadline: 1079999 Sat Jan 04 13:45:12 2014 time limit set to 300.00 CPU-hours Sat Jan 04 13:45:12 2014 expecting poly E from 2.22e-012 to > 2.56e-012 Tue Jan 07 08:23:23 2014 Msieve v. 1.52 (SVN unknown) Tue Jan 07 08:23:23 2014 random seeds: 82eb3370 e79db781 Tue Jan 07 08:23:23 2014 factoring 805662176640627464355171845792822385202368652865353187016254674881179155975121347213344718899103379577999271828240528807239725172541299776705360252866917757 (156 digits) Tue Jan 07 08:23:25 2014 searching for 15-digit factors Tue Jan 07 08:23:37 2014 commencing number field sieve (156-digit input) Tue Jan 07 08:23:37 2014 commencing number field sieve polynomial selection Tue Jan 07 08:23:37 2014 polynomial degree: 5 Tue Jan 07 08:23:37 2014 max stage 1 norm: 1.17e+024 Tue Jan 07 08:23:37 2014 max stage 2 norm: 8.68e+021 Tue Jan 07 08:23:37 2014 min E-value: 2.00e-012 Tue Jan 07 08:23:37 2014 poly select deadline: 1079999 Tue Jan 07 21:49:12 2014 polynomial selection complete Tue Jan 07 21:49:12 2014 R0: -1016101365394390149799300233937 Tue Jan 07 21:49:12 2014 R1: 26273107488629599 Tue Jan 07 21:49:12 2014 A0: -1942486391887340881114992104979067840 Tue Jan 07 21:49:12 2014 A1: 7847422479152645568691090804676 Tue Jan 07 21:49:12 2014 A2: 6009536191779248710510436 Tue Jan 07 21:49:12 2014 A3: -22032129385305770247 Tue Jan 07 21:49:12 2014 A4: -3378912169640 Tue Jan 07 21:49:12 2014 A5: 743820 Tue Jan 07 21:49:12 2014 skew 1597263.86, size 3.584e-015, alpha -6.709, combined = 2.398e-012 rroots = 5 <Sieving rational q in [23000000,61000001) using gnfs-lasieve4I14e took ~8.5 days on various hosts> <mainly 4 threads on Xeon W3530 @ 2.8GHz and 24 threads on 2x Intel Xeon E5-2620 @ 2.0 GHz> <Postprocessing using msieve 1.51> Mon Jan 20 11:26:00 2014 Mon Jan 20 11:26:00 2014 Msieve v. 1.51 (SVN Official Release) Mon Jan 20 11:26:00 2014 random seeds: 7d3ea588 96e2f31d Mon Jan 20 11:26:00 2014 factoring 805662176640627464355171845792822385202368652865353187016254674881179155975121347213344718899103379577999271828240528807239725172541299776705360252866917757 (156 digits) Mon Jan 20 11:26:01 2014 searching for 15-digit factors Mon Jan 20 11:26:02 2014 commencing number field sieve (156-digit input) Mon Jan 20 11:26:02 2014 R0: -1016101365394390149799300233937 Mon Jan 20 11:26:02 2014 R1: 26273107488629599 Mon Jan 20 11:26:02 2014 A0: -1942486391887340881114992104979067840 Mon Jan 20 11:26:02 2014 A1: 7847422479152645568691090804676 Mon Jan 20 11:26:02 2014 A2: 6009536191779248710510436 Mon Jan 20 11:26:02 2014 A3: -22032129385305770247 Mon Jan 20 11:26:02 2014 A4: -3378912169640 Mon Jan 20 11:26:02 2014 A5: 743820 Mon Jan 20 11:26:02 2014 skew 1597263.86, size 3.584e-015, alpha -6.709, combined = 2.398e-012 rroots = 5 Mon Jan 20 11:26:02 2014 Mon Jan 20 11:26:02 2014 commencing relation filtering Mon Jan 20 11:26:02 2014 estimated available RAM is 32739.1 MB Mon Jan 20 11:26:02 2014 commencing duplicate removal, pass 1 Mon Jan 20 11:31:02 2014 found 7776540 hash collisions in 51342816 relations Mon Jan 20 11:32:06 2014 added 122727 free relations Mon Jan 20 11:32:06 2014 commencing duplicate removal, pass 2 Mon Jan 20 11:32:43 2014 found 6777260 duplicates and 44688283 unique relations Mon Jan 20 11:32:43 2014 memory use: 213.2 MB Mon Jan 20 11:32:43 2014 reading ideals above 720000 Mon Jan 20 11:32:43 2014 commencing singleton removal, initial pass Mon Jan 20 11:40:23 2014 memory use: 1378.0 MB Mon Jan 20 11:40:24 2014 reading all ideals from disk Mon Jan 20 11:40:25 2014 memory use: 1626.4 MB Mon Jan 20 11:40:31 2014 keeping 45490148 ideals with weight <= 200, target excess is 236446 Mon Jan 20 11:40:38 2014 commencing in-memory singleton removal Mon Jan 20 11:40:43 2014 begin with 44688283 relations and 45490148 unique ideals Mon Jan 20 11:41:41 2014 reduce to 24343896 relations and 22609188 ideals in 16 passes Mon Jan 20 11:41:41 2014 max relations containing the same ideal: 138 Mon Jan 20 11:41:59 2014 removing 2825610 relations and 2425610 ideals in 400000 cliques Mon Jan 20 11:42:00 2014 commencing in-memory singleton removal Mon Jan 20 11:42:02 2014 begin with 21518286 relations and 22609188 unique ideals Mon Jan 20 11:42:27 2014 reduce to 21266528 relations and 19926585 ideals in 9 passes Mon Jan 20 11:42:27 2014 max relations containing the same ideal: 128 Mon Jan 20 11:42:43 2014 removing 2132643 relations and 1732643 ideals in 400000 cliques Mon Jan 20 11:42:43 2014 commencing in-memory singleton removal Mon Jan 20 11:42:46 2014 begin with 19133885 relations and 19926585 unique ideals Mon Jan 20 11:43:12 2014 reduce to 18967859 relations and 18024760 ideals in 11 passes Mon Jan 20 11:43:12 2014 max relations containing the same ideal: 116 Mon Jan 20 11:43:26 2014 removing 1918226 relations and 1518226 ideals in 400000 cliques Mon Jan 20 11:43:27 2014 commencing in-memory singleton removal Mon Jan 20 11:43:29 2014 begin with 17049633 relations and 18024760 unique ideals Mon Jan 20 11:43:45 2014 reduce to 16901719 relations and 16355649 ideals in 8 passes Mon Jan 20 11:43:45 2014 max relations containing the same ideal: 107 Mon Jan 20 11:43:57 2014 removing 1325312 relations and 1053520 ideals in 271792 cliques Mon Jan 20 11:43:57 2014 commencing in-memory singleton removal Mon Jan 20 11:43:59 2014 begin with 15576407 relations and 16355649 unique ideals Mon Jan 20 11:44:13 2014 reduce to 15501631 relations and 15226265 ideals in 7 passes Mon Jan 20 11:44:13 2014 max relations containing the same ideal: 105 Mon Jan 20 11:44:27 2014 relations with 0 large ideals: 819 Mon Jan 20 11:44:27 2014 relations with 1 large ideals: 1588 Mon Jan 20 11:44:27 2014 relations with 2 large ideals: 24281 Mon Jan 20 11:44:27 2014 relations with 3 large ideals: 201123 Mon Jan 20 11:44:27 2014 relations with 4 large ideals: 901205 Mon Jan 20 11:44:27 2014 relations with 5 large ideals: 2409341 Mon Jan 20 11:44:27 2014 relations with 6 large ideals: 4009587 Mon Jan 20 11:44:27 2014 relations with 7+ large ideals: 7953687 Mon Jan 20 11:44:27 2014 commencing 2-way merge Mon Jan 20 11:44:42 2014 reduce to 9959932 relation sets and 9684566 unique ideals Mon Jan 20 11:44:42 2014 commencing full merge Mon Jan 20 11:48:45 2014 memory use: 1179.5 MB Mon Jan 20 11:48:47 2014 found 5354803 cycles, need 5316766 Mon Jan 20 11:48:47 2014 weight of 5316766 cycles is about 372524345 (70.07/cycle) Mon Jan 20 11:48:47 2014 distribution of cycle lengths: Mon Jan 20 11:48:47 2014 1 relations: 704373 Mon Jan 20 11:48:47 2014 2 relations: 705214 Mon Jan 20 11:48:47 2014 3 relations: 671432 Mon Jan 20 11:48:47 2014 4 relations: 592424 Mon Jan 20 11:48:47 2014 5 relations: 522992 Mon Jan 20 11:48:47 2014 6 relations: 446337 Mon Jan 20 11:48:47 2014 7 relations: 382058 Mon Jan 20 11:48:47 2014 8 relations: 318708 Mon Jan 20 11:48:47 2014 9 relations: 259584 Mon Jan 20 11:48:47 2014 10+ relations: 713644 Mon Jan 20 11:48:47 2014 heaviest cycle: 20 relations Mon Jan 20 11:48:49 2014 commencing cycle optimization Mon Jan 20 11:48:59 2014 start with 27898104 relations Mon Jan 20 11:50:00 2014 pruned 709585 relations Mon Jan 20 11:50:00 2014 memory use: 922.1 MB Mon Jan 20 11:50:00 2014 distribution of cycle lengths: Mon Jan 20 11:50:00 2014 1 relations: 704373 Mon Jan 20 11:50:00 2014 2 relations: 721747 Mon Jan 20 11:50:00 2014 3 relations: 696367 Mon Jan 20 11:50:00 2014 4 relations: 607004 Mon Jan 20 11:50:00 2014 5 relations: 534789 Mon Jan 20 11:50:00 2014 6 relations: 451725 Mon Jan 20 11:50:00 2014 7 relations: 383876 Mon Jan 20 11:50:00 2014 8 relations: 316912 Mon Jan 20 11:50:00 2014 9 relations: 254551 Mon Jan 20 11:50:00 2014 10+ relations: 645422 Mon Jan 20 11:50:00 2014 heaviest cycle: 20 relations Mon Jan 20 11:50:08 2014 RelProcTime: 1446 Mon Jan 20 11:50:08 2014 elapsed time 00:24:08 Mon Jan 20 12:02:40 2014 <...interrupted...> Mon Jan 20 18:30:24 2014 Mon Jan 20 18:30:24 2014 commencing linear algebra Mon Jan 20 18:30:25 2014 read 5315011 cycles Mon Jan 20 18:30:34 2014 cycles contain 15299231 unique relations Mon Jan 20 18:32:07 2014 read 15299231 relations Mon Jan 20 18:32:33 2014 using 20 quadratic characters above 536870724 Mon Jan 20 18:34:00 2014 building initial matrix Mon Jan 20 18:37:59 2014 memory use: 2129.1 MB Mon Jan 20 18:38:03 2014 read 5315011 cycles Mon Jan 20 18:38:05 2014 matrix is 5314834 x 5315011 (1616.0 MB) with weight 502575319 (94.56/col) Mon Jan 20 18:38:05 2014 sparse part has weight 359849695 (67.70/col) Mon Jan 20 18:38:39 2014 filtering completed in 1 passes Mon Jan 20 18:38:42 2014 matrix is 5314834 x 5315011 (1616.0 MB) with weight 502575319 (94.56/col) Mon Jan 20 18:38:42 2014 sparse part has weight 359849695 (67.70/col) Mon Jan 20 18:39:19 2014 matrix starts at (0, 0) Mon Jan 20 18:39:21 2014 matrix is 5314834 x 5315011 (1616.0 MB) with weight 502575319 (94.56/col) Mon Jan 20 18:39:21 2014 sparse part has weight 359849695 (67.70/col) Mon Jan 20 18:39:21 2014 saving the first 48 matrix rows for later Mon Jan 20 18:39:23 2014 matrix includes 64 packed rows Mon Jan 20 18:39:24 2014 matrix is 5314786 x 5315011 (1552.1 MB) with weight 400931023 (75.43/col) Mon Jan 20 18:39:24 2014 sparse part has weight 353722769 (66.55/col) Mon Jan 20 18:39:24 2014 using block size 65536 for processor cache size 15360 kB Mon Jan 20 18:39:50 2014 commencing Lanczos iteration (16 threads) Mon Jan 20 18:39:50 2014 memory use: 1852.9 MB Mon Jan 20 18:40:14 2014 linear algebra at 0.0%, ETA 22h20m Mon Jan 20 18:40:22 2014 checkpointing every 240000 dimensions Tue Jan 21 19:54:20 2014 lanczos halted after 84049 iterations (dim = 5314784) Tue Jan 21 19:54:30 2014 recovered 30 nontrivial dependencies Tue Jan 21 19:54:31 2014 BLanczosTime: 91447 Tue Jan 21 19:54:31 2014 Tue Jan 21 19:54:31 2014 commencing square root phase Tue Jan 21 19:54:31 2014 reading relations for dependency 1 Tue Jan 21 19:54:32 2014 read 2656214 cycles Tue Jan 21 19:54:36 2014 cycles contain 7647846 unique relations Tue Jan 21 19:55:30 2014 read 7647846 relations Tue Jan 21 19:56:19 2014 multiplying 7647846 relations Tue Jan 21 20:07:33 2014 multiply complete, coefficients have about 425.32 million bits Tue Jan 21 20:07:38 2014 initial square root is modulo 42818059 Tue Jan 21 20:22:31 2014 sqrtTime: 1680 Tue Jan 21 20:22:31 2014 prp66 factor: 412674380143132505444100113292838737928002726481248634807206698959 Tue Jan 21 20:22:31 2014 prp91 factor: 1952295115488367785538426166213577040689756968158638608959545920438440798927174451426606323 Tue Jan 21 20:22:31 2014 elapsed time 25:52:09 |
software ソフトウェア | msieve 1.52 (SVN 942) win64 CUDA for polynomial selection, GGNFS (SVN 440), msieve 1.51 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | December 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 300 | Ignacio Santos | June 3, 2011 17:59:44 UTC 2011 年 6 月 4 日 (土) 2 時 59 分 44 秒 (日本時間) | |
40 | 3e6 | 2156 | 110 | Ignacio Santos | June 3, 2011 17:59:44 UTC 2011 年 6 月 4 日 (土) 2 時 59 分 44 秒 (日本時間) |
2046 | Youcef Lemsafer | October 30, 2013 09:16:02 UTC 2013 年 10 月 30 日 (水) 18 時 16 分 2 秒 (日本時間) | |||
45 | 11e6 | 3904 | 32 | Ignacio Santos | June 3, 2011 17:59:44 UTC 2011 年 6 月 4 日 (土) 2 時 59 分 44 秒 (日本時間) |
498 | Youcef Lemsafer | October 30, 2013 12:45:14 UTC 2013 年 10 月 30 日 (水) 21 時 45 分 14 秒 (日本時間) | |||
3374 | Youcef Lemsafer | December 3, 2013 07:44:15 UTC 2013 年 12 月 3 日 (火) 16 時 44 分 15 秒 (日本時間) | |||
50 | 43e6 | 1902 / 6594 | 32 | Youcef Lemsafer | December 3, 2013 18:11:55 UTC 2013 年 12 月 4 日 (水) 3 時 11 分 55 秒 (日本時間) |
200 | Youcef Lemsafer | December 10, 2013 03:15:39 UTC 2013 年 12 月 10 日 (火) 12 時 15 分 39 秒 (日本時間) | |||
600 | Youcef Lemsafer | December 10, 2013 14:08:51 UTC 2013 年 12 月 10 日 (火) 23 時 8 分 51 秒 (日本時間) | |||
1070 | Youcef Lemsafer | December 20, 2013 23:10:50 UTC 2013 年 12 月 21 日 (土) 8 時 10 分 50 秒 (日本時間) |
name 名前 | ToolboxNL |
---|---|
date 日付 | August 31, 2011 02:49:53 UTC 2011 年 8 月 31 日 (水) 11 時 49 分 53 秒 (日本時間) |
composite number 合成数 | 5588899082511670844820043759885244776486670414570803748228727672103085154982985037791264314521450095746782683622077868368434953843495430072326401260619307534708753092062825643733225977068061966027282078067860722586666429<220> |
prime factors 素因数 | 12903827855092916944581406171313332828848543559<47> |
composite cofactor 合成数の残り | 433119470073047305622331429859496808113444808319568208202491890749014450556388980388970939163224047090317671732386016172756329858778778876817283149401728395937549603080307931<174> |
factorization results 素因数分解の結果 | GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM] Input number is 5588899082511670844820043759885244776486670414570803748228727672103085154982985037791264314521450095746782683622077868368434953843495430072326401260619307534708753092062825643733225977068061966027282078067860722586666429 (220 digits) [Tue Aug 30 01:03:04 2011] Using MODMULN Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=2820601438 dF=131072, k=4, d=1345890, d2=11, i0=71 Expected number of curves to find a factor of n digits: 35 40 45 50 55 60 65 70 75 80 34 135 614 3135 17884 111314 752662 5482978 4.3e+007 3.6e+008 Step 1 took 3059859ms Using 51 small primes for NTT Estimated memory usage: 570M Initializing tables of differences for F took 1953ms Computing roots of F took 73687ms Building F from its roots took 32375ms Computing 1/F took 13578ms Initializing table of differences for G took 1656ms Computing roots of G took 61938ms Building G from its roots took 34171ms Computing roots of G took 61938ms Building G from its roots took 34156ms Computing G * H took 7078ms Reducing G * H mod F took 7422ms Computing roots of G took 61922ms Building G from its roots took 34187ms Computing G * H took 7062ms Reducing G * H mod F took 7469ms Computing roots of G took 61906ms Building G from its roots took 34234ms Computing G * H took 7015ms Reducing G * H mod F took 7391ms Computing polyeval(F,G) took 62140ms Computing product of all F(g_i) took 469ms Step 2 took 616282ms ********** Factor found in step 2: 12903827855092916944581406171313332828848543559 Found probable prime factor of 47 digits: 12903827855092916944581406171313332828848543559 Composite cofactor 433119470073047305622331429859496808113444808319568208202491890749014450556388980388970939163224047090317671732386016172756329858778778876817283149401728395937549603080307931 has 174 digits |
software ソフトウェア | GMP-ECM |
name 名前 | Daniel Morel |
---|---|
date 日付 | December 17, 2019 16:40:51 UTC 2019 年 12 月 18 日 (水) 1 時 40 分 51 秒 (日本時間) |
composite number 合成数 | 433119470073047305622331429859496808113444808319568208202491890749014450556388980388970939163224047090317671732386016172756329858778778876817283149401728395937549603080307931<174> |
prime factors 素因数 | 1646502358783662877300335186189022490191089033283419825833451153418081<70> 263054266374091304125227513423797730615422410884491073740903919535221704053759075354514460716206244241851<105> |
factorization results 素因数分解の結果 | Polynomial: 1000 X^6 + 3 ; m = 10^38 ; skew = 0.7 rlim = alim = 50000000 lpbr = lpba = 31 mfbr = mfba = 57 rlambda = alambda = 2.7 qintsize = 100000 Matrix: 6668068 x 6668245 time: 230 days p70 = 1646502358783662877300335186189022490191089033283419825833451153418081 p105 = 263054266374091304125227513423797730615422410884491073740903919535221704053759075354514460716206244241851 |
software ソフトウェア | GGNFS-0.77.1 (relations) and MSieve 1.53 (matrix) |
execution environment 実行環境 | Windows 7 (AMD Athlon 2,7 GHz for relations) and Windows 10 (Intel Core I5 3.3 GHz for matrix step) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | December 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 300 | Ignacio Santos | June 22, 2010 12:26:11 UTC 2010 年 6 月 22 日 (火) 21 時 26 分 11 秒 (日本時間) | |
40 | 3e6 | 2144 | 110 | Ignacio Santos | June 22, 2010 12:26:11 UTC 2010 年 6 月 22 日 (火) 21 時 26 分 11 秒 (日本時間) |
2034 | Wataru Sakai | July 3, 2010 04:39:08 UTC 2010 年 7 月 3 日 (土) 13 時 39 分 8 秒 (日本時間) | |||
45 | 11e6 | 32 | Ignacio Santos | June 22, 2010 12:26:11 UTC 2010 年 6 月 22 日 (火) 21 時 26 分 11 秒 (日本時間) | |
50 | 43e6 | 800 | Dmitry Domanov | June 7, 2011 16:33:27 UTC 2011 年 6 月 8 日 (水) 1 時 33 分 27 秒 (日本時間) | |
55 | 11e7 | 2930 / 17465 | 160 | Dmitry Domanov | June 8, 2011 21:38:34 UTC 2011 年 6 月 9 日 (木) 6 時 38 分 34 秒 (日本時間) |
2770 | yoyo@home | August 22, 2011 18:45:05 UTC 2011 年 8 月 23 日 (火) 3 時 45 分 5 秒 (日本時間) |
name 名前 | Daniel Morel |
---|---|
date 日付 | August 26, 2020 21:11:13 UTC 2020 年 8 月 27 日 (木) 6 時 11 分 13 秒 (日本時間) |
composite number 合成数 | 34753607056841647869311748681936105235401328213803539235290389122352846806641081039004514614311929289881816141251662391864022477038033327281711619401203758085930330974260131048722415590412431962600422680082538129246881<218> |
prime factors 素因数 | 55417138419396958715017482081242017537998820375009883398270688357525993083791685527173409881803<95> 627127420290566341997915513979757403642498669928593998989070937979630768653355505571304830101905497293941020106878359839427<123> |
factorization results 素因数分解の結果 | Polynomial: X^6 + 30 ; m = 10^39 ; skew = 1 rlim = alim = 52000000 lpbr = lpba = 30 mfbr = mfba = 55 rlambda = alambda = 2.7 qintsize = 100000 Matrix: 7764635 x 7764812 time: 388 days 19 hours or so p95 = 55417138419396958715017482081242017537998820375009883398270688357525993083791685527173409881803 p123 = 627127420290566341997915513979757403642498669928593998989070937979630768653355505571304830101905497293941020106878359839427 |
software ソフトウェア | GGNFS-0.77.1 (relations) and MSieve 1.52 (matrix) |
execution environment 実行環境 | Windows 10 (Intel Core I5 3.2 GHz for matrix step) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | December 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 300 | Ignacio Santos | June 4, 2011 18:38:42 UTC 2011 年 6 月 5 日 (日) 3 時 38 分 42 秒 (日本時間) | |
40 | 3e6 | 2159 | 110 | Ignacio Santos | June 4, 2011 18:38:42 UTC 2011 年 6 月 5 日 (日) 3 時 38 分 42 秒 (日本時間) |
2049 | Youcef Lemsafer | November 4, 2013 20:33:23 UTC 2013 年 11 月 5 日 (火) 5 時 33 分 23 秒 (日本時間) | |||
45 | 11e6 | 674 | 32 | Ignacio Santos | June 4, 2011 18:38:42 UTC 2011 年 6 月 5 日 (日) 3 時 38 分 42 秒 (日本時間) |
522 | Youcef Lemsafer | November 5, 2013 06:42:21 UTC 2013 年 11 月 5 日 (火) 15 時 42 分 21 秒 (日本時間) | |||
120 | Luigi Morelli | June 27, 2020 16:07:01 UTC 2020 年 6 月 28 日 (日) 1 時 7 分 1 秒 (日本時間) | |||
50 | 43e6 | 1000 / 7314 | Robert Balfour | July 1, 2020 23:58:32 UTC 2020 年 7 月 2 日 (木) 8 時 58 分 32 秒 (日本時間) | |
55 | 11e7 | 0 / 17351 | - | - | |
60 | 26e7 | 1 / 41887 | Luigi Morelli | June 27, 2020 16:18:19 UTC 2020 年 6 月 28 日 (日) 1 時 18 分 19 秒 (日本時間) |
name 名前 | Justin Card |
---|---|
date 日付 | June 9, 2010 22:39:10 UTC 2010 年 6 月 10 日 (木) 7 時 39 分 10 秒 (日本時間) |
composite number 合成数 | 117833390761822206781504235853702940398633422674715455907712487569609504674353029127577678760477779626680339767620241534635122222619356307811633522977634813958958846128976560370183<180> |
prime factors 素因数 | 1218975121501029917998916947524792696247<40> 96665952145703942307658434881018198753040197861750953231479525345251855474784654760227617109192554321152891469024928932751156412450342448689<140> |
factorization results 素因数分解の結果 | [2010-06-09 12:02:57 GMT] a: Factor found! 10003_234 / (probable) 1218975121501029917998916947524792696247 B1: 1000000 sigma: 2675825087 (found in step 2) [2010-06-09 12:02:57 GMT] a: Co-factor: 10003_234 / (Probable) 96665952145703942307658434881018198753040197861750953231479525345251855474784654760227617109192554321152891469024928932751156412450342448689 |
software ソフトウェア | gmp-ecm 6.2 |
execution environment 実行環境 | Ubuntu Linux 10.04, Athlon 64x2 2600+, 1 GB RAM |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | December 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間) |
name 名前 | Daniel Morel |
---|---|
date 日付 | July 13, 2018 15:22:37 UTC 2018 年 7 月 14 日 (土) 0 時 22 分 37 秒 (日本時間) |
composite number 合成数 | 27873114831407956927278216085375267013374562824339022205019123402474327281253455881180723539142872534985805756177024426962312171392436553401785487463317265288165116170026999041536316752042493742156188358335736899670972577717<224> |
prime factors 素因数 | 1808336697172974184798635254548651594382866834034650792538315364330163648114890967789<85> 15413675381903610726394856815299476646288761503323365877104089057195079896231224900791122763296415475756902144135723769525043539199035154153<140> |
factorization results 素因数分解の結果 | Polynomial: 100 X^6 + 3 ; m = 10^39 ; skew = 2 rlim = alim = 62000000 lpbr = lpba = 29 mfbr = mfba = 59 rlambda = alambda = 2.7 qintsize = 100000 Matrix: 8015993 x 8016170 time: 330 days or so p85 = 1808336697172974184798635254548651594382866834034650792538315364330163648114890967789 p140 = 15413675381903610726394856815299476646288761503323365877104089057195079896231224900791122763296415475756902144135723769525043539199035154153 |
software ソフトウェア | GGNFS-0.77.1 (relations) and MSieve 1.52 (matrix) |
execution environment 実行環境 | Windows 7 (AMD Athlon 2,7 GHz for relations) and Windows 10 (Intel Core I5 3.2 GHz for matrix step) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | December 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 300 | Ignacio Santos | June 4, 2011 20:27:57 UTC 2011 年 6 月 5 日 (日) 5 時 27 分 57 秒 (日本時間) | |
40 | 3e6 | 2159 | 110 | Ignacio Santos | June 4, 2011 20:27:57 UTC 2011 年 6 月 5 日 (日) 5 時 27 分 57 秒 (日本時間) |
2049 | Youcef Lemsafer | November 5, 2013 07:14:22 UTC 2013 年 11 月 5 日 (火) 16 時 14 分 22 秒 (日本時間) | |||
45 | 11e6 | 554 / 3988 | 32 | Ignacio Santos | June 4, 2011 20:27:57 UTC 2011 年 6 月 5 日 (日) 5 時 27 分 57 秒 (日本時間) |
522 | Youcef Lemsafer | November 5, 2013 12:27:48 UTC 2013 年 11 月 5 日 (火) 21 時 27 分 48 秒 (日本時間) |
name 名前 | Daniel Morel |
---|---|
date 日付 | November 17, 2020 16:25:12 UTC 2020 年 11 月 18 日 (水) 1 時 25 分 12 秒 (日本時間) |
composite number 合成数 | 41685126111496290641633520617573076692091670776461899683637899935543617891508122779391933558848814124775498142139156379694379816046718194930047447484642154511029817429777956753792124334556787786025217938750595401013<215> |
prime factors 素因数 | 7207357400006705438305023872337314320838388848182874699116420639787731091244805557784499<88> 5783690720187888623413341711371878563734815714863921910119873999682206113961953337161657899741762517160586218178205080970650487<127> |
factorization results 素因数分解の結果 | Polynomial: X^6 + 30 ; m = 10^40 ; skew = 3.3 rlim = alim = 50000000 lpbr = lpba = 30 mfbr = mfba = 61 rlambda = alambda = 2.7 qintsize = 100000 Matrix: 7197635 x 7197812 time: 226 days p88 = 7207357400006705438305023872337314320838388848182874699116420639787731091244805557784499 p127 = 5783690720187888623413341711371878563734815714863921910119873999682206113961953337161657899741762517160586218178205080970650487 |
software ソフトウェア | GGNFS-0.77.1 (relations) and MSieve 1.52 (matrix) |
execution environment 実行環境 | Windows 10 (Intel Core I5 3.2 GHz / 3.6 Ghz) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | December 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 300 | Ignacio Santos | June 4, 2011 22:03:06 UTC 2011 年 6 月 5 日 (日) 7 時 3 分 6 秒 (日本時間) | |
40 | 3e6 | 2159 | 110 | Ignacio Santos | June 4, 2011 22:03:06 UTC 2011 年 6 月 5 日 (日) 7 時 3 分 6 秒 (日本時間) |
2049 | Youcef Lemsafer | November 5, 2013 18:14:13 UTC 2013 年 11 月 6 日 (水) 3 時 14 分 13 秒 (日本時間) | |||
45 | 11e6 | 554 | 32 | Ignacio Santos | June 4, 2011 22:03:06 UTC 2011 年 6 月 5 日 (日) 7 時 3 分 6 秒 (日本時間) |
522 | Youcef Lemsafer | November 6, 2013 05:17:04 UTC 2013 年 11 月 6 日 (水) 14 時 17 分 4 秒 (日本時間) | |||
50 | 43e6 | 1000 / 7346 | Robert Balfour | July 1, 2020 23:59:16 UTC 2020 年 7 月 2 日 (木) 8 時 59 分 16 秒 (日本時間) |
name 名前 | Youcef Lemsafer |
---|---|
date 日付 | November 6, 2013 05:19:01 UTC 2013 年 11 月 6 日 (水) 14 時 19 分 1 秒 (日本時間) |
composite number 合成数 | 218137715049806828348739671604364280153962336767658710170195352972745580051015807907159757421172306415352121268342922167436960805950994088580483884075775102540847109264684118292735172147103400527082972251253696684541<216> |
prime factors 素因数 | 13386005861092876621843413272521831831633<41> |
composite cofactor 合成数の残り | 16295952453138800798495426294124640956435671754436882934459764269439646047770656020019031885088789477789673155511691696842710354258082850172514267829423342719458679849825693677<176> |
factorization results 素因数分解の結果 | GMP-ECM 6.4.4 [configured with MPIR 2.6.0] [ECM] Input number is (10^240+3)/(103*71479*622663699405724959) (216 digits) Using MODMULN [mulredc:0, sqrredc:0] Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2093165441 dF=16384, k=2, d=158340, d2=11, i0=8 Expected number of curves to find a factor of n digits: 35 40 45 50 55 60 65 70 75 80 324 2351 20272 201449 2247436 2.8e+007 3.9e+008 6e+009 1.1e+011 7.4e+015 Step 1 took 20171ms Using 26 small primes for NTT Estimated memory usage: 71M Initializing tables of differences for F took 15ms Computing roots of F took 531ms Building F from its roots took 1310ms Computing 1/F took 764ms Initializing table of differences for G took 16ms Computing roots of G took 468ms Building G from its roots took 1279ms Computing roots of G took 468ms Building G from its roots took 1295ms Computing G * H took 421ms Reducing G * H mod F took 422ms Computing polyeval(F,G) took 2620ms Computing product of all F(g_i) took 16ms Step 2 took 9672ms ********** Factor found in step 2: 13386005861092876621843413272521831831633 Found probable prime factor of 41 digits: 13386005861092876621843413272521831831633 Composite cofactor ((10^240+3)/(103*71479*622663699405724959))/13386005861092876621843413272521831831633 has 176 digits |
name 名前 | Youcef Lemsafer |
---|---|
date 日付 | February 17, 2014 17:54:05 UTC 2014 年 2 月 18 日 (火) 2 時 54 分 5 秒 (日本時間) |
composite number 合成数 | 16295952453138800798495426294124640956435671754436882934459764269439646047770656020019031885088789477789673155511691696842710354258082850172514267829423342719458679849825693677<176> |
prime factors 素因数 | 652590986232543508590956970581844986222334437761286699810659<60> 24971157734213509601561069407498257576547202042518282502990437589515285105258112290089993342182295975338992892296303<116> |
factorization results 素因数分解の結果 | <Sieving on various hosts took ~12.6 days> Tue Feb 11 09:09:56 2014 Msieve v. 1.51 (SVN Official Release) Tue Feb 11 09:09:56 2014 random seeds: e1a85640 09594f7a Tue Feb 11 09:09:56 2014 factoring 16295952453138800798495426294124640956435671754436882934459764269439646047770656020019031885088789477789673155511691696842710354258082850172514267829423342719458679849825693677 (176 digits) Tue Feb 11 09:09:58 2014 searching for 15-digit factors Tue Feb 11 09:09:58 2014 commencing number field sieve (176-digit input) Tue Feb 11 09:09:58 2014 R0: -10000000000000000000000000000000000000000 Tue Feb 11 09:09:58 2014 R1: 1 Tue Feb 11 09:09:58 2014 A0: 3 Tue Feb 11 09:09:58 2014 A1: 0 Tue Feb 11 09:09:58 2014 A2: 0 Tue Feb 11 09:09:58 2014 A3: 0 Tue Feb 11 09:09:58 2014 A4: 0 Tue Feb 11 09:09:58 2014 A5: 0 Tue Feb 11 09:09:58 2014 A6: 1 Tue Feb 11 09:09:58 2014 skew 1.20, size 6.183e-012, alpha 2.596, combined = 4.529e-013 rroots = 0 Tue Feb 11 09:09:58 2014 Tue Feb 11 09:09:58 2014 commencing relation filtering Tue Feb 11 09:09:58 2014 estimated available RAM is 32739.1 MB Tue Feb 11 09:09:58 2014 commencing duplicate removal, pass 1 Tue Feb 11 09:26:06 2014 error -15 reading relation 98192648 Tue Feb 11 09:26:06 2014 error -15 reading relation 98199366 Tue Feb 11 09:26:06 2014 error -9 reading relation 98205861 Tue Feb 11 09:26:06 2014 error -5 reading relation 98212605 Tue Feb 11 09:27:28 2014 skipped 22 relations with b > 2^32 Tue Feb 11 09:27:28 2014 found 22000886 hash collisions in 105442953 relations Tue Feb 11 09:27:48 2014 added 2437780 free relations Tue Feb 11 09:27:48 2014 commencing duplicate removal, pass 2 Tue Feb 11 09:28:55 2014 found 22434325 duplicates and 85446408 unique relations Tue Feb 11 09:28:55 2014 memory use: 660.8 MB Tue Feb 11 09:28:55 2014 reading ideals above 720000 Tue Feb 11 09:28:55 2014 commencing singleton removal, initial pass Tue Feb 11 09:49:03 2014 memory use: 2756.0 MB Tue Feb 11 09:49:03 2014 reading all ideals from disk Tue Feb 11 09:49:05 2014 memory use: 3313.6 MB Tue Feb 11 09:49:20 2014 keeping 87609608 ideals with weight <= 200, target excess is 449555 Tue Feb 11 09:49:33 2014 commencing in-memory singleton removal Tue Feb 11 09:49:44 2014 begin with 85446408 relations and 87609608 unique ideals Tue Feb 11 09:51:34 2014 reduce to 46528652 relations and 43710103 ideals in 16 passes Tue Feb 11 09:51:34 2014 max relations containing the same ideal: 138 Tue Feb 11 09:52:07 2014 removing 3427618 relations and 3027618 ideals in 400000 cliques Tue Feb 11 09:52:09 2014 commencing in-memory singleton removal Tue Feb 11 09:52:14 2014 begin with 43101034 relations and 43710103 unique ideals Tue Feb 11 09:53:14 2014 reduce to 42877990 relations and 40456608 ideals in 10 passes Tue Feb 11 09:53:14 2014 max relations containing the same ideal: 134 Tue Feb 11 09:53:39 2014 removing 2548671 relations and 2148671 ideals in 400000 cliques Tue Feb 11 09:53:40 2014 commencing in-memory singleton removal Tue Feb 11 09:53:45 2014 begin with 40329319 relations and 40456608 unique ideals Tue Feb 11 09:54:29 2014 reduce to 40195861 relations and 38173206 ideals in 10 passes Tue Feb 11 09:54:29 2014 max relations containing the same ideal: 128 Tue Feb 11 09:54:52 2014 removing 2270423 relations and 1870423 ideals in 400000 cliques Tue Feb 11 09:54:53 2014 commencing in-memory singleton removal Tue Feb 11 09:54:58 2014 begin with 37925438 relations and 38173206 unique ideals Tue Feb 11 09:55:35 2014 reduce to 37814202 relations and 36190467 ideals in 9 passes Tue Feb 11 09:55:35 2014 max relations containing the same ideal: 120 Tue Feb 11 09:55:56 2014 removing 2122002 relations and 1722002 ideals in 400000 cliques Tue Feb 11 09:55:57 2014 commencing in-memory singleton removal Tue Feb 11 09:56:01 2014 begin with 35692200 relations and 36190467 unique ideals Tue Feb 11 09:56:32 2014 reduce to 35591058 relations and 34366270 ideals in 8 passes Tue Feb 11 09:56:32 2014 max relations containing the same ideal: 114 Tue Feb 11 09:56:54 2014 removing 2024336 relations and 1624336 ideals in 400000 cliques Tue Feb 11 09:56:55 2014 commencing in-memory singleton removal Tue Feb 11 09:56:59 2014 begin with 33566722 relations and 34366270 unique ideals Tue Feb 11 09:57:28 2014 reduce to 33469606 relations and 32643812 ideals in 8 passes Tue Feb 11 09:57:28 2014 max relations containing the same ideal: 109 Tue Feb 11 09:57:48 2014 removing 1559506 relations and 1255196 ideals in 304310 cliques Tue Feb 11 09:57:48 2014 commencing in-memory singleton removal Tue Feb 11 09:57:52 2014 begin with 31910100 relations and 32643812 unique ideals Tue Feb 11 09:58:16 2014 reduce to 31851425 relations and 31329404 ideals in 7 passes Tue Feb 11 09:58:16 2014 max relations containing the same ideal: 105 Tue Feb 11 09:58:41 2014 relations with 0 large ideals: 33754 Tue Feb 11 09:58:41 2014 relations with 1 large ideals: 6464 Tue Feb 11 09:58:41 2014 relations with 2 large ideals: 53442 Tue Feb 11 09:58:41 2014 relations with 3 large ideals: 411138 Tue Feb 11 09:58:41 2014 relations with 4 large ideals: 1784841 Tue Feb 11 09:58:41 2014 relations with 5 large ideals: 4696154 Tue Feb 11 09:58:41 2014 relations with 6 large ideals: 7732546 Tue Feb 11 09:58:41 2014 relations with 7+ large ideals: 17133086 Tue Feb 11 09:58:41 2014 commencing 2-way merge Tue Feb 11 09:59:08 2014 reduce to 20836791 relation sets and 20314770 unique ideals Tue Feb 11 09:59:08 2014 commencing full merge Tue Feb 11 10:07:45 2014 memory use: 2582.8 MB Tue Feb 11 10:07:48 2014 found 11097317 cycles, need 11026970 Tue Feb 11 10:07:49 2014 weight of 11026970 cycles is about 772065171 (70.02/cycle) Tue Feb 11 10:07:49 2014 distribution of cycle lengths: Tue Feb 11 10:07:49 2014 1 relations: 1425605 Tue Feb 11 10:07:49 2014 2 relations: 1442436 Tue Feb 11 10:07:49 2014 3 relations: 1389234 Tue Feb 11 10:07:49 2014 4 relations: 1215767 Tue Feb 11 10:07:49 2014 5 relations: 1051925 Tue Feb 11 10:07:49 2014 6 relations: 894494 Tue Feb 11 10:07:49 2014 7 relations: 760616 Tue Feb 11 10:07:49 2014 8 relations: 638835 Tue Feb 11 10:07:49 2014 9 relations: 528477 Tue Feb 11 10:07:49 2014 10+ relations: 1679581 Tue Feb 11 10:07:49 2014 heaviest cycle: 22 relations Tue Feb 11 10:07:52 2014 commencing cycle optimization Tue Feb 11 10:08:08 2014 start with 59777834 relations Tue Feb 11 10:10:18 2014 pruned 1434782 relations Tue Feb 11 10:10:18 2014 memory use: 1927.0 MB Tue Feb 11 10:10:18 2014 distribution of cycle lengths: Tue Feb 11 10:10:18 2014 1 relations: 1425605 Tue Feb 11 10:10:18 2014 2 relations: 1468800 Tue Feb 11 10:10:18 2014 3 relations: 1433946 Tue Feb 11 10:10:18 2014 4 relations: 1242056 Tue Feb 11 10:10:18 2014 5 relations: 1075822 Tue Feb 11 10:10:18 2014 6 relations: 906114 Tue Feb 11 10:10:18 2014 7 relations: 767111 Tue Feb 11 10:10:18 2014 8 relations: 637554 Tue Feb 11 10:10:18 2014 9 relations: 523703 Tue Feb 11 10:10:18 2014 10+ relations: 1546259 Tue Feb 11 10:10:18 2014 heaviest cycle: 22 relations Tue Feb 11 10:10:38 2014 RelProcTime: 3640 Tue Feb 11 10:10:38 2014 elapsed time 01:00:42 Tue Feb 11 10:35:49 2014 Tue Feb 11 10:35:49 2014 <...snipped...> Tue Feb 11 10:35:50 2014 Tue Feb 11 10:35:50 2014 commencing linear algebra Tue Feb 11 10:35:53 2014 read 11026970 cycles Tue Feb 11 10:36:13 2014 cycles contain 31489046 unique relations Tue Feb 11 10:41:52 2014 read 31489046 relations Tue Feb 11 10:42:59 2014 using 20 quadratic characters above 1073741720 Tue Feb 11 10:46:00 2014 building initial matrix Tue Feb 11 10:54:59 2014 memory use: 4055.4 MB Tue Feb 11 10:55:09 2014 read 11026970 cycles Tue Feb 11 10:55:14 2014 matrix is 11026793 x 11026970 (3318.4 MB) with weight 951615494 (86.30/col) Tue Feb 11 10:55:14 2014 sparse part has weight 748613720 (67.89/col) Tue Feb 11 10:58:05 2014 filtering completed in 2 passes Tue Feb 11 10:58:09 2014 matrix is 11022298 x 11022475 (3318.1 MB) with weight 951506374 (86.32/col) Tue Feb 11 10:58:09 2014 sparse part has weight 748584162 (67.91/col) Tue Feb 11 10:59:45 2014 matrix starts at (0, 0) Tue Feb 11 10:59:48 2014 matrix is 11022298 x 11022475 (3318.1 MB) with weight 951506374 (86.32/col) Tue Feb 11 10:59:48 2014 sparse part has weight 748584162 (67.91/col) Tue Feb 11 10:59:48 2014 saving the first 48 matrix rows for later Tue Feb 11 10:59:52 2014 matrix includes 64 packed rows Tue Feb 11 10:59:55 2014 matrix is 11022250 x 11022475 (3162.7 MB) with weight 771941022 (70.03/col) Tue Feb 11 10:59:55 2014 sparse part has weight 718865985 (65.22/col) Tue Feb 11 10:59:55 2014 using block size 65536 for processor cache size 15360 kB Tue Feb 11 11:00:44 2014 commencing Lanczos iteration (16 threads) Tue Feb 11 11:00:44 2014 memory use: 3870.3 MB Tue Feb 11 11:02:02 2014 linear algebra at 0.0%, ETA 149h43m Tue Feb 11 11:02:27 2014 checkpointing every 80000 dimensions Mon Feb 17 17:24:36 2014 lanczos halted after 174310 iterations (dim = 11022248) Mon Feb 17 17:25:28 2014 recovered 37 nontrivial dependencies Mon Feb 17 17:25:32 2014 BLanczosTime: 542982 Mon Feb 17 17:25:32 2014 Mon Feb 17 17:25:32 2014 commencing square root phase Mon Feb 17 17:25:32 2014 reading relations for dependency 1 Mon Feb 17 17:25:35 2014 read 5509932 cycles Mon Feb 17 17:25:45 2014 cycles contain 15742166 unique relations Mon Feb 17 17:30:16 2014 read 15742166 relations Mon Feb 17 17:32:42 2014 multiplying 15742166 relations Mon Feb 17 17:52:00 2014 multiply complete, coefficients have about 395.30 million bits Mon Feb 17 17:52:06 2014 warning: no irreducible prime found, switching to small primes Mon Feb 17 17:52:06 2014 initial square root is modulo 53 Mon Feb 17 18:38:28 2014 sqrtTime: 4376 Mon Feb 17 18:38:28 2014 prp60 factor: 652590986232543508590956970581844986222334437761286699810659 Mon Feb 17 18:38:28 2014 prp116 factor: 24971157734213509601561069407498257576547202042518282502990437589515285105258112290089993342182295975338992892296303 Mon Feb 17 18:38:28 2014 elapsed time 152:02:39 |
software ソフトウェア | GGNFS (SVN 440), msieve 1.51 |
execution environment 実行環境 | Windows 7 Pro 64 bit, 2x Intel Xeon E5-2620 @ 2.0GHz, 32GB RAM |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | December 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 300 | Ignacio Santos | June 4, 2011 23:53:17 UTC 2011 年 6 月 5 日 (日) 8 時 53 分 17 秒 (日本時間) | |
40 | 3e6 | 1832 | 110 | Ignacio Santos | June 4, 2011 23:53:17 UTC 2011 年 6 月 5 日 (日) 8 時 53 分 17 秒 (日本時間) |
1722 | Youcef Lemsafer | November 6, 2013 05:17:50 UTC 2013 年 11 月 6 日 (水) 14 時 17 分 50 秒 (日本時間) | |||
45 | 11e6 | 3406 | 32 | Ignacio Santos | June 4, 2011 23:53:17 UTC 2011 年 6 月 5 日 (日) 8 時 53 分 17 秒 (日本時間) |
3374 | Youcef Lemsafer | December 3, 2013 07:45:04 UTC 2013 年 12 月 3 日 (火) 16 時 45 分 4 秒 (日本時間) | |||
50 | 43e6 | 0 | - | - | |
55 | 11e7 | 2880 / 15310 | 1280 | Youcef Lemsafer | December 14, 2013 14:14:41 UTC 2013 年 12 月 14 日 (土) 23 時 14 分 41 秒 (日本時間) |
1600 | Youcef Lemsafer | January 11, 2014 18:02:05 UTC 2014 年 1 月 12 日 (日) 3 時 2 分 5 秒 (日本時間) | |||
60 | 26e7 | 960 / 40873 | Youcef Lemsafer | January 29, 2014 05:55:53 UTC 2014 年 1 月 29 日 (水) 14 時 55 分 53 秒 (日本時間) |
name 名前 | Daniel Morel |
---|---|
date 日付 | December 7, 2020 15:49:24 UTC 2020 年 12 月 8 日 (火) 0 時 49 分 24 秒 (日本時間) |
composite number 合成数 | 71340273312409237591261917243869527077291161550601511002282830918989575724135262596617428035963174528565690329235010543929957349891462128903258187994400811641741461562217217830313310266909827<191> |
prime factors 素因数 | 31632930374940593323074272949841989443991515433230297647171760808160114019<74> 2255253385216709145951298498299331972297129957539313062633091219301680920208229129613811102340914334830248201752628833<118> |
factorization results 素因数分解の結果 | Polynomial: 10 X^6 + 3 m = 10^40 skew = 0.8 rlim = alim = 55000000 lpbr = lpba = 30 mfbr = mfba = 61 rlambda = alambda = 2.7 qintsize = 100000 Matrix: 7876720 x 7876897 time: 227 days p74 = 31632930374940593323074272949841989443991515433230297647171760808160114019 p118 = 2255253385216709145951298498299331972297129957539313062633091219301680920208229129613811102340914334830248201752628833 |
software ソフトウェア | GGNFS-0.77.1 (relations) and MSieve 1.53 (matrix) |
execution environment 実行環境 | Windows 10 (Intel Core I5 3.3 GHz) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | December 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 300 | Ignacio Santos | June 5, 2011 12:29:17 UTC 2011 年 6 月 5 日 (日) 21 時 29 分 17 秒 (日本時間) | |
40 | 3e6 | 2159 | 110 | Ignacio Santos | June 5, 2011 12:29:17 UTC 2011 年 6 月 5 日 (日) 21 時 29 分 17 秒 (日本時間) |
2049 | Youcef Lemsafer | November 6, 2013 09:39:06 UTC 2013 年 11 月 6 日 (水) 18 時 39 分 6 秒 (日本時間) | |||
45 | 11e6 | 554 | 32 | Ignacio Santos | June 5, 2011 12:29:17 UTC 2011 年 6 月 5 日 (日) 21 時 29 分 17 秒 (日本時間) |
522 | Youcef Lemsafer | November 6, 2013 13:47:15 UTC 2013 年 11 月 6 日 (水) 22 時 47 分 15 秒 (日本時間) | |||
50 | 43e6 | 1000 / 7346 | Robert Balfour | July 1, 2020 23:59:42 UTC 2020 年 7 月 2 日 (木) 8 時 59 分 42 秒 (日本時間) |
name 名前 | Daniel Morel |
---|---|
date 日付 | February 8, 2021 13:53:21 UTC 2021 年 2 月 8 日 (月) 22 時 53 分 21 秒 (日本時間) |
composite number 合成数 | 48304115063880591203007782520716142880218751533418590325865612159297082943593893793111656934182589393048313942524578773286450680588769243227328940164337034403275172099537990374821738324704792693764194958300391810239324273<221> |
prime factors 素因数 | 10858856476501643070372061553561741256199971654012681482756102978745770368247729125897<86> 4448361129775475786272237703331437573696528358259552332305475323152774725140807326583326405711120297807256463412968958035820556219149609<136> |
factorization results 素因数分解の結果 | Polynomial: 100 X^6 + 3 ; m = 10^40 ; skew = 4 rlim = alim = 69000000 lpbr = lpba = 30 mfbr = mfba = 61 rlambda = alambda = 2.7 qintsize = 100000 Matrix: 15235727 x 15235903 time: 432 days p86 = 10858856476501643070372061553561741256199971654012681482756102978745770368247729125897 p136 = 4448361129775475786272237703331437573696528358259552332305475323152774725140807326583326405711120297807256463412968958035820556219149609 |
software ソフトウェア | GGNFS-0.77.1 (relations) and MSieve 1.52 (matrix) |
execution environment 実行環境 | Windows 10 (Intel Core I5 3.5 GHz) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | December 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 300 | Ignacio Santos | June 5, 2011 15:01:29 UTC 2011 年 6 月 6 日 (月) 0 時 1 分 29 秒 (日本時間) | |
40 | 3e6 | 2159 | 110 | Ignacio Santos | June 5, 2011 15:01:29 UTC 2011 年 6 月 6 日 (月) 0 時 1 分 29 秒 (日本時間) |
2049 | Youcef Lemsafer | November 6, 2013 18:44:38 UTC 2013 年 11 月 7 日 (木) 3 時 44 分 38 秒 (日本時間) | |||
45 | 11e6 | 554 | 32 | Ignacio Santos | June 5, 2011 15:01:29 UTC 2011 年 6 月 6 日 (月) 0 時 1 分 29 秒 (日本時間) |
522 | Youcef Lemsafer | November 7, 2013 04:58:58 UTC 2013 年 11 月 7 日 (木) 13 時 58 分 58 秒 (日本時間) | |||
50 | 43e6 | 1000 / 7346 | Robert Balfour | July 2, 2020 00:00:10 UTC 2020 年 7 月 2 日 (木) 9 時 0 分 10 秒 (日本時間) |
name 名前 | Daniel Morel |
---|---|
date 日付 | November 1, 2021 10:12:01 UTC 2021 年 11 月 1 日 (月) 19 時 12 分 1 秒 (日本時間) |
composite number 合成数 | 241299288393794882902956690971808994014834932539593569843391834031473465410785061659626710803766127185031158329296622699949927747970513775879292908699873528388308719534441146623068218090144141968827751201<204> |
prime factors 素因数 | 274051689337602286205086721020192980998667058717536629897662423909176650317<75> 880488235547929943994224513559289009448588303211875716959446351145834780527511433065043806973893876836453550725476652791658313253<129> |
factorization results 素因数分解の結果 | Polynomial: X^6 + 3000 ; m = 10^41 rlim = alim = 69000000 lpbr = lpba = 30 mfbr = mfba = 61 rlambda = alambda = 2.8 skew = 4.1 qintsize = 100000 Matrix : 16689479 x 16689657 time: 489 days or so p75 = 274051689337602286205086721020192980998667058717536629897662423909176650317 p129 = 880488235547929943994224513559289009448588303211875716959446351145834780527511433065043806973893876836453550725476652791658313253 |
software ソフトウェア | GGNFS-0.77.1 (relations) and msieve 1.53 (matrix) |
execution environment 実行環境 | Windows 10 (Intel Core I5 3.5 GHz) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | December 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 300 | Ignacio Santos | June 5, 2011 16:05:47 UTC 2011 年 6 月 6 日 (月) 1 時 5 分 47 秒 (日本時間) | |
40 | 3e6 | 2159 | 110 | Ignacio Santos | June 5, 2011 16:05:47 UTC 2011 年 6 月 6 日 (月) 1 時 5 分 47 秒 (日本時間) |
2049 | Youcef Lemsafer | November 7, 2013 05:17:36 UTC 2013 年 11 月 7 日 (木) 14 時 17 分 36 秒 (日本時間) | |||
45 | 11e6 | 592 | 32 | Ignacio Santos | June 5, 2011 16:05:47 UTC 2011 年 6 月 6 日 (月) 1 時 5 分 47 秒 (日本時間) |
560 | Youcef Lemsafer | November 8, 2013 16:23:03 UTC 2013 年 11 月 9 日 (土) 1 時 23 分 3 秒 (日本時間) | |||
50 | 43e6 | 1000 / 7337 | Robert Balfour | July 2, 2020 00:00:35 UTC 2020 年 7 月 2 日 (木) 9 時 0 分 35 秒 (日本時間) |
name 名前 | RSALS + Jeff Gilchrist |
---|---|
date 日付 | April 11, 2010 19:33:34 UTC 2010 年 4 月 12 日 (月) 4 時 33 分 34 秒 (日本時間) |
composite number 合成数 | 204081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653061224489795918367347<243> |
prime factors 素因数 | 59720088627032414844300913484960240486992227836360956162494858291719661989419907354629477<89> 3417302910040948508856235566952537608332675148550110614390522344520191507292744118335846577940572743077781819963576545606576724633145957142504470411800311<154> |
factorization results 素因数分解の結果 | <sieving by the RSALS grid> <filtering + linear algebra + square root by Jeff Gilchrist> Mon Mar 15 13:48:33 2010 found 21323288 hash collisions in 106675595 relations Mon Mar 15 13:48:33 2010 commencing duplicate removal, pass 2 Mon Mar 15 13:50:18 2010 found 21458693 duplicates and 85216902 unique relations Mon Mar 15 13:50:18 2010 memory use: 660.8 MB Mon Mar 15 13:50:18 2010 reading ideals above 720000 Mon Mar 15 13:50:18 2010 commencing singleton removal, initial pass Mon Mar 15 14:13:06 2010 memory use: 2756.0 MB Mon Mar 15 14:13:07 2010 reading all ideals from disk Mon Mar 15 14:13:50 2010 memory use: 3320.9 MB Mon Mar 15 14:14:18 2010 keeping 87926684 ideals with weight <= 200, target excess is 440359 Mon Mar 15 14:14:56 2010 commencing in-memory singleton removal Mon Mar 15 14:15:26 2010 begin with 85216902 relations and 87926684 unique ideals Mon Mar 15 14:21:01 2010 reduce to 46444930 relations and 44184710 ideals in 19 passes Mon Mar 15 14:21:01 2010 max relations containing the same ideal: 137 Mon Mar 15 14:22:14 2010 removing 3526148 relations and 3126148 ideals in 400000 cliques Mon Mar 15 14:22:19 2010 commencing in-memory singleton removal Mon Mar 15 14:22:33 2010 begin with 42918782 relations and 44184710 unique ideals Mon Mar 15 14:24:31 2010 reduce to 42717492 relations and 40854769 ideals in 9 passes Mon Mar 15 14:24:31 2010 max relations containing the same ideal: 128 Mon Mar 15 14:25:38 2010 removing 2575801 relations and 2175801 ideals in 400000 cliques Mon Mar 15 14:25:43 2010 commencing in-memory singleton removal Mon Mar 15 14:25:56 2010 begin with 40141691 relations and 40854769 unique ideals Mon Mar 15 14:28:01 2010 reduce to 40028360 relations and 38564437 ideals in 9 passes Mon Mar 15 14:28:01 2010 max relations containing the same ideal: 123 Mon Mar 15 14:29:04 2010 removing 2262262 relations and 1862262 ideals in 400000 cliques Mon Mar 15 14:29:09 2010 commencing in-memory singleton removal Mon Mar 15 14:29:19 2010 begin with 37766098 relations and 38564437 unique ideals Mon Mar 15 14:30:45 2010 reduce to 37673467 relations and 36608581 ideals in 7 passes Mon Mar 15 14:30:45 2010 max relations containing the same ideal: 119 Mon Mar 15 14:31:44 2010 removing 2087256 relations and 1687256 ideals in 400000 cliques Mon Mar 15 14:31:47 2010 commencing in-memory singleton removal Mon Mar 15 14:31:57 2010 begin with 35586211 relations and 36608581 unique ideals Mon Mar 15 14:33:16 2010 reduce to 35504973 relations and 34839239 ideals in 7 passes Mon Mar 15 14:33:16 2010 max relations containing the same ideal: 117 Mon Mar 15 14:34:12 2010 removing 883424 relations and 728507 ideals in 154917 cliques Mon Mar 15 14:34:16 2010 commencing in-memory singleton removal Mon Mar 15 14:34:28 2010 begin with 34621549 relations and 34839239 unique ideals Mon Mar 15 14:35:29 2010 reduce to 34606616 relations and 34095736 ideals in 5 passes Mon Mar 15 14:35:29 2010 max relations containing the same ideal: 114 Mon Mar 15 14:35:53 2010 relations with 0 large ideals: 29512 Mon Mar 15 14:35:53 2010 relations with 1 large ideals: 3709 Mon Mar 15 14:35:53 2010 relations with 2 large ideals: 46035 Mon Mar 15 14:35:53 2010 relations with 3 large ideals: 368052 Mon Mar 15 14:35:53 2010 relations with 4 large ideals: 1664132 Mon Mar 15 14:35:53 2010 relations with 5 large ideals: 4571790 Mon Mar 15 14:35:53 2010 relations with 6 large ideals: 7950285 Mon Mar 15 14:35:53 2010 relations with 7+ large ideals: 19973101 Mon Mar 15 14:35:53 2010 commencing 2-way merge Mon Mar 15 14:37:03 2010 reduce to 23425454 relation sets and 22914574 unique ideals Mon Mar 15 14:37:03 2010 commencing full merge Mon Mar 15 14:56:12 2010 memory use: 2949.4 MB Mon Mar 15 14:56:19 2010 found 12468782 cycles, need 12400774 Mon Mar 15 14:56:30 2010 weight of 12400774 cycles is about 868349941 (70.02/cycle) Mon Mar 15 14:56:30 2010 distribution of cycle lengths: Mon Mar 15 14:56:30 2010 1 relations: 1480301 Mon Mar 15 14:56:30 2010 2 relations: 1638063 Mon Mar 15 14:56:30 2010 3 relations: 1568308 Mon Mar 15 14:56:30 2010 4 relations: 1386368 Mon Mar 15 14:56:30 2010 5 relations: 1205764 Mon Mar 15 14:56:30 2010 6 relations: 1012899 Mon Mar 15 14:56:30 2010 7 relations: 852512 Mon Mar 15 14:56:30 2010 8 relations: 709662 Mon Mar 15 14:56:30 2010 9 relations: 585938 Mon Mar 15 14:56:30 2010 10+ relations: 1960959 Mon Mar 15 14:56:30 2010 heaviest cycle: 24 relations Mon Mar 15 14:56:38 2010 commencing cycle optimization Mon Mar 15 14:57:22 2010 start with 68577664 relations Mon Mar 15 15:02:12 2010 pruned 1790604 relations Mon Mar 15 15:02:13 2010 memory use: 2144.7 MB Mon Mar 15 15:02:13 2010 distribution of cycle lengths: Mon Mar 15 15:02:13 2010 1 relations: 1480301 Mon Mar 15 15:02:13 2010 2 relations: 1667739 Mon Mar 15 15:02:13 2010 3 relations: 1621674 Mon Mar 15 15:02:13 2010 4 relations: 1420208 Mon Mar 15 15:02:13 2010 5 relations: 1236550 Mon Mar 15 15:02:13 2010 6 relations: 1026194 Mon Mar 15 15:02:13 2010 7 relations: 860515 Mon Mar 15 15:02:13 2010 8 relations: 707680 Mon Mar 15 15:02:13 2010 9 relations: 578983 Mon Mar 15 15:02:13 2010 10+ relations: 1800930 Mon Mar 15 15:02:13 2010 heaviest cycle: 24 relations Mon Mar 15 15:02:58 2010 RelProcTime: 5612 Mon Mar 15 15:03:07 2010 elapsed time 01:33:44 Wed Mar 17 05:38:34 2010 Wed Mar 17 05:38:34 2010 Wed Mar 17 05:38:34 2010 Msieve v. 1.44 Wed Mar 17 05:38:34 2010 random seeds: f80b863b d8838c81 Wed Mar 17 05:38:34 2010 factoring 204081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653061224489795918367347 (243 digits) Wed Mar 17 05:38:37 2010 no P-1/P+1/ECM available, skipping Wed Mar 17 05:38:37 2010 commencing number field sieve (243-digit input) Wed Mar 17 05:38:37 2010 R0: -10000000000000000000000000000000000000000 Wed Mar 17 05:38:37 2010 R1: 1 Wed Mar 17 05:38:37 2010 A0: 3 Wed Mar 17 05:38:37 2010 A1: 0 Wed Mar 17 05:38:37 2010 A2: 0 Wed Mar 17 05:38:37 2010 A3: 0 Wed Mar 17 05:38:37 2010 A4: 0 Wed Mar 17 05:38:37 2010 A5: 0 Wed Mar 17 05:38:37 2010 A6: 10000 Wed Mar 17 05:38:37 2010 skew 0.26, size 5.202444e-12, alpha -1.601825, combined = 4.006598e-13 Wed Mar 17 05:38:37 2010 Wed Mar 17 05:38:37 2010 commencing linear algebra Wed Mar 17 05:38:40 2010 read 12400774 cycles Wed Mar 17 05:39:14 2010 cycles contain 34310370 unique relations Wed Mar 17 05:45:29 2010 read 34310370 relations Wed Mar 17 05:47:04 2010 using 20 quadratic characters above 1073741504 Wed Mar 17 05:51:07 2010 building initial matrix Wed Mar 17 06:03:53 2010 memory use: 4515.1 MB Wed Mar 17 06:04:07 2010 read 12400774 cycles Wed Mar 17 06:04:21 2010 matrix is 12400597 x 12400774 (3726.5 MB) with weight 1103283723 (88.97/col) Wed Mar 17 06:04:21 2010 sparse part has weight 840463936 (67.78/col) Wed Mar 17 06:09:01 2010 filtering completed in 2 passes Wed Mar 17 06:09:06 2010 matrix is 12397674 x 12397851 (3726.3 MB) with weight 1103199776 (88.98/col) Wed Mar 17 06:09:06 2010 sparse part has weight 840443825 (67.79/col) Wed Mar 17 06:10:43 2010 read 12397851 cycles Wed Mar 17 06:10:58 2010 matrix is 12397674 x 12397851 (3726.3 MB) with weight 1103199776 (88.98/col) Wed Mar 17 06:10:58 2010 sparse part has weight 840443825 (67.79/col) Wed Mar 17 06:10:59 2010 saving the first 48 matrix rows for later Wed Mar 17 06:11:10 2010 matrix is 12397626 x 12397851 (3566.0 MB) with weight 881335694 (71.09/col) Wed Mar 17 06:11:10 2010 sparse part has weight 810826567 (65.40/col) Wed Mar 17 06:11:10 2010 matrix includes 64 packed rows Wed Mar 17 06:11:10 2010 using block size 65536 for processor cache size 6144 kB Wed Mar 17 06:12:23 2010 commencing Lanczos iteration (8 threads) Wed Mar 17 06:12:23 2010 memory use: 4280.6 MB Wed Mar 17 06:13:57 2010 linear algebra at 0.0%, ETA 394h12m Wed Mar 17 10:19:14 2010 lanczos halted after 1956 iterations (dim = 123692) Wed Mar 17 10:19:14 2010 BLanczosTime: 16837 Wed Mar 17 10:19:14 2010 elapsed time 04:40:40 Wed Mar 17 10:21:05 2010 Wed Mar 17 10:21:05 2010 Wed Mar 17 10:21:05 2010 Msieve v. 1.44 Wed Mar 17 10:21:05 2010 random seeds: d29ec497 4485ea53 Wed Mar 17 10:21:05 2010 factoring 204081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653061224489795918367347 (243 digits) Wed Mar 17 10:21:09 2010 no P-1/P+1/ECM available, skipping Wed Mar 17 10:21:09 2010 commencing number field sieve (243-digit input) Wed Mar 17 10:21:09 2010 R0: -10000000000000000000000000000000000000000 Wed Mar 17 10:21:09 2010 R1: 1 Wed Mar 17 10:21:09 2010 A0: 3 Wed Mar 17 10:21:09 2010 A1: 0 Wed Mar 17 10:21:09 2010 A2: 0 Wed Mar 17 10:21:09 2010 A3: 0 Wed Mar 17 10:21:09 2010 A4: 0 Wed Mar 17 10:21:09 2010 A5: 0 Wed Mar 17 10:21:09 2010 A6: 10000 Wed Mar 17 10:21:09 2010 skew 0.26, size 5.202444e-12, alpha -1.601825, combined = 4.006598e-13 Wed Mar 17 10:21:09 2010 Wed Mar 17 10:21:09 2010 commencing linear algebra Wed Mar 17 10:21:12 2010 read 12397851 cycles Wed Mar 17 10:21:26 2010 matrix is 12397674 x 12397851 (3726.3 MB) with weight 1103199776 (88.98/col) Wed Mar 17 10:21:26 2010 sparse part has weight 840443825 (67.79/col) Wed Mar 17 10:21:27 2010 saving the first 48 matrix rows for later Wed Mar 17 10:21:38 2010 matrix is 12397626 x 12397851 (3566.0 MB) with weight 881335694 (71.09/col) Wed Mar 17 10:21:38 2010 sparse part has weight 810826567 (65.40/col) Wed Mar 17 10:21:38 2010 matrix includes 64 packed rows Wed Mar 17 10:21:38 2010 using block size 65536 for processor cache size 6144 kB Wed Mar 17 10:22:54 2010 commencing Lanczos iteration (4 threads) Wed Mar 17 10:22:54 2010 memory use: 3902.2 MB Wed Mar 17 10:22:54 2010 restarting at iteration 1956 (dim = 123692) Wed Mar 17 10:24:28 2010 linear algebra at 1.0%, ETA 422h47m Wed Mar 31 22:20:47 2010 lanczos halted after 90677 iterations (dim = 5733761) Wed Mar 31 22:20:48 2010 BLanczosTime: 1252779 Wed Mar 31 22:20:48 2010 elapsed time 347:59:43 Thu Apr 1 21:24:32 2010 Thu Apr 1 21:24:32 2010 Thu Apr 1 21:24:32 2010 Msieve v. 1.44 Thu Apr 1 21:24:32 2010 random seeds: d46ab9b7 3014abbf Thu Apr 1 21:24:32 2010 factoring 204081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653061224489795918367347 (243 digits) Thu Apr 1 21:24:36 2010 no P-1/P+1/ECM available, skipping Thu Apr 1 21:24:36 2010 commencing number field sieve (243-digit input) Thu Apr 1 21:24:36 2010 R0: -10000000000000000000000000000000000000000 Thu Apr 1 21:24:36 2010 R1: 1 Thu Apr 1 21:24:36 2010 A0: 3 Thu Apr 1 21:24:36 2010 A1: 0 Thu Apr 1 21:24:36 2010 A2: 0 Thu Apr 1 21:24:36 2010 A3: 0 Thu Apr 1 21:24:36 2010 A4: 0 Thu Apr 1 21:24:36 2010 A5: 0 Thu Apr 1 21:24:36 2010 A6: 10000 Thu Apr 1 21:24:36 2010 skew 0.26, size 5.202444e-12, alpha -1.601825, combined = 4.006598e-13 Thu Apr 1 21:24:36 2010 Thu Apr 1 21:24:36 2010 commencing linear algebra Thu Apr 1 21:24:42 2010 read 12397851 cycles Thu Apr 1 21:25:42 2010 matrix is 12397674 x 12397851 (3726.3 MB) with weight 1103199776 (88.98/col) Thu Apr 1 21:25:42 2010 sparse part has weight 840443825 (67.79/col) Thu Apr 1 21:25:43 2010 saving the first 48 matrix rows for later Thu Apr 1 21:25:54 2010 matrix is 12397626 x 12397851 (3566.0 MB) with weight 881335694 (71.09/col) Thu Apr 1 21:25:54 2010 sparse part has weight 810826567 (65.40/col) Thu Apr 1 21:25:54 2010 matrix includes 64 packed rows Thu Apr 1 21:25:54 2010 using block size 65536 for processor cache size 6144 kB Thu Apr 1 21:27:08 2010 commencing Lanczos iteration (8 threads) Thu Apr 1 21:27:08 2010 memory use: 4280.6 MB Thu Apr 1 21:27:17 2010 restarting at iteration 90677 (dim = 5733761) Thu Apr 1 21:28:56 2010 linear algebra at 46.3%, ETA 243h40m Tue Apr 6 18:33:19 2010 Tue Apr 6 18:33:19 2010 Tue Apr 6 18:33:19 2010 Msieve v. 1.44 Tue Apr 6 18:33:19 2010 random seeds: c37412e1 8381d132 Tue Apr 6 18:33:19 2010 factoring 204081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653061224489795918367347 (243 digits) Tue Apr 6 18:33:23 2010 no P-1/P+1/ECM available, skipping Tue Apr 6 18:33:23 2010 commencing number field sieve (243-digit input) Tue Apr 6 18:33:23 2010 R0: -10000000000000000000000000000000000000000 Tue Apr 6 18:33:23 2010 R1: 1 Tue Apr 6 18:33:23 2010 A0: 3 Tue Apr 6 18:33:23 2010 A1: 0 Tue Apr 6 18:33:23 2010 A2: 0 Tue Apr 6 18:33:23 2010 A3: 0 Tue Apr 6 18:33:23 2010 A4: 0 Tue Apr 6 18:33:23 2010 A5: 0 Tue Apr 6 18:33:23 2010 A6: 10000 Tue Apr 6 18:33:23 2010 skew 0.26, size 5.202444e-12, alpha -1.601825, combined = 4.006598e-13 Tue Apr 6 18:33:23 2010 Tue Apr 6 18:33:23 2010 commencing linear algebra Tue Apr 6 18:33:29 2010 read 12397851 cycles Tue Apr 6 18:34:36 2010 matrix is 12397674 x 12397851 (3726.3 MB) with weight 1103199776 (88.98/col) Tue Apr 6 18:34:36 2010 sparse part has weight 840443825 (67.79/col) Tue Apr 6 18:34:37 2010 saving the first 48 matrix rows for later Tue Apr 6 18:34:48 2010 matrix is 12397626 x 12397851 (3566.0 MB) with weight 881335694 (71.09/col) Tue Apr 6 18:34:48 2010 sparse part has weight 810826567 (65.40/col) Tue Apr 6 18:34:48 2010 matrix includes 64 packed rows Tue Apr 6 18:34:48 2010 using block size 65536 for processor cache size 6144 kB Tue Apr 6 18:36:01 2010 commencing Lanczos iteration (8 threads) Tue Apr 6 18:36:01 2010 memory use: 4280.6 MB Tue Apr 6 18:36:02 2010 restarting at iteration 146601 (dim = 9270018) Tue Apr 6 18:37:28 2010 linear algebra at 74.8%, ETA 97h46m Sat Apr 10 21:52:47 2010 lanczos halted after 196062 iterations (dim = 12397622) Sat Apr 10 21:53:37 2010 recovered 36 nontrivial dependencies Sat Apr 10 21:53:39 2010 BLanczosTime: 357616 Sat Apr 10 21:53:39 2010 elapsed time 99:20:20 Sun Apr 11 06:34:58 2010 Sun Apr 11 06:34:59 2010 Sun Apr 11 06:34:59 2010 Msieve v. 1.44 Sun Apr 11 06:34:59 2010 random seeds: ffb80e93 6df64d82 Sun Apr 11 06:34:59 2010 factoring 204081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653061224489795918367347 (243 digits) Sun Apr 11 06:35:02 2010 no P-1/P+1/ECM available, skipping Sun Apr 11 06:35:02 2010 commencing number field sieve (243-digit input) Sun Apr 11 06:35:02 2010 R0: -10000000000000000000000000000000000000000 Sun Apr 11 06:35:02 2010 R1: 1 Sun Apr 11 06:35:02 2010 A0: 3 Sun Apr 11 06:35:02 2010 A1: 0 Sun Apr 11 06:35:02 2010 A2: 0 Sun Apr 11 06:35:02 2010 A3: 0 Sun Apr 11 06:35:02 2010 A4: 0 Sun Apr 11 06:35:02 2010 A5: 0 Sun Apr 11 06:35:02 2010 A6: 10000 Sun Apr 11 06:35:02 2010 skew 0.26, size 5.202444e-12, alpha -1.601825, combined = 4.006598e-13 Sun Apr 11 06:35:02 2010 Sun Apr 11 06:35:02 2010 commencing square root phase Sun Apr 11 06:35:02 2010 reading relations for dependency 1 Sun Apr 11 06:35:05 2010 read 6197996 cycles Sun Apr 11 06:35:22 2010 cycles contain 17156728 unique relations Sun Apr 11 06:39:23 2010 read 17156728 relations Sun Apr 11 06:41:51 2010 multiplying 17156728 relations Sun Apr 11 07:23:44 2010 multiply complete, coefficients have about 643.94 million bits Sun Apr 11 07:23:50 2010 warning: no irreducible prime found, switching to small primes Sun Apr 11 07:23:51 2010 initial square root is modulo 53 Sun Apr 11 08:57:09 2010 Newton iteration failed to converge Sun Apr 11 08:57:09 2010 algebraic square root failed Sun Apr 11 08:57:09 2010 reading relations for dependency 2 Sun Apr 11 08:57:12 2010 read 6201283 cycles Sun Apr 11 08:57:29 2010 cycles contain 17160374 unique relations Sun Apr 11 09:00:50 2010 read 17160374 relations Sun Apr 11 09:03:19 2010 multiplying 17160374 relations Sun Apr 11 09:45:12 2010 multiply complete, coefficients have about 644.07 million bits Sun Apr 11 09:45:17 2010 warning: no irreducible prime found, switching to small primes Sun Apr 11 09:45:18 2010 initial square root is modulo 53 Sun Apr 11 11:18:42 2010 sqrtTime: 17020 Sun Apr 11 11:18:42 2010 prp89 factor: 59720088627032414844300913484960240486992227836360956162494858291719661989419907354629477 Sun Apr 11 11:18:42 2010 prp154 factor: 3417302910040948508856235566952537608332675148550110614390522344520191507292744118335846577940572743077781819963576545606576724633145957142504470411800311 Sun Apr 11 11:18:42 2010 elapsed time 04:43:43 |
software ソフトウェア | ggnfs-lasieve4I14e on the RSALS grid + msieve |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | December 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 266 | 260 | Serge Batalov | December 16, 2008 02:11:40 UTC 2008 年 12 月 16 日 (火) 11 時 11 分 40 秒 (日本時間) |
6 | Serge Batalov | January 2, 2009 07:31:20 UTC 2009 年 1 月 2 日 (金) 16 時 31 分 20 秒 (日本時間) | |||
45 | 11e6 | 2020 | 20 | Serge Batalov | December 16, 2008 02:11:40 UTC 2008 年 12 月 16 日 (火) 11 時 11 分 40 秒 (日本時間) |
580 | Serge Batalov | January 2, 2009 07:30:43 UTC 2009 年 1 月 2 日 (金) 16 時 30 分 43 秒 (日本時間) | |||
1420 | Serge Batalov | January 2, 2009 19:32:31 UTC 2009 年 1 月 3 日 (土) 4 時 32 分 31 秒 (日本時間) | |||
50 | 43e6 | 1010 / 7090 | yoyo@home | January 14, 2010 02:22:44 UTC 2010 年 1 月 14 日 (木) 11 時 22 分 44 秒 (日本時間) |
name 名前 | Serge Batalov |
---|---|
date 日付 | December 16, 2008 01:56:03 UTC 2008 年 12 月 16 日 (火) 10 時 56 分 3 秒 (日本時間) |
composite number 合成数 | 251889168765743073047858942065491183879093198992443324937027707808564231738035264483627204030226700251889168765743073047858942065491183879093198992443324937027707808564231738035264483627204030226700251889168765743073047858942065491183879093199<243> |
prime factors 素因数 | 1523139408975506847609408057356772403<37> |
composite cofactor 合成数の残り | 165374992782288143099098664420190855135065524201790567845531019468290719579509530782801360420860492125166999904737069490397081057711442662739511913130562317785089919433785439437190546446326948947840039161333<207> |
factorization results 素因数分解の結果 | Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1013441708 Step 1 took 88160ms Step 2 took 36093ms ********** Factor found in step 2: 1523139408975506847609408057356772403 Found probable prime factor of 37 digits: 1523139408975506847609408057356772403 Composite cofactor has 207 digits |
software ソフトウェア | GMP-ECM 6.2.1 |
name 名前 | Justin Card |
---|---|
date 日付 | June 10, 2010 22:17:08 UTC 2010 年 6 月 11 日 (金) 7 時 17 分 8 秒 (日本時間) |
composite number 合成数 | 165374992782288143099098664420190855135065524201790567845531019468290719579509530782801360420860492125166999904737069490397081057711442662739511913130562317785089919433785439437190546446326948947840039161333<207> |
prime factors 素因数 | 307895661467105921525359874359213<33> |
composite cofactor 合成数の残り | 537113748190816923485281042551225092133313723304891569266093591694700944343418591663694367332768609699743249149929683474716479915525616068650260570394604962187996754335707241<174> |
factorization results 素因数分解の結果 | [2010-06-10 13:47:47 GMT] 10003_245: probable factor returned by justin@darkenedpath.com (c2)! Factor=307895661467105921525359874359213 Method=ECM B1=1000000 Sigma=289105393 [2010-06-10 13:47:47 GMT] 10003_245: Composite factor returned by justin@darkenedpath.com (c2)! Factor=537113748190816923485281042551225092133313723304891569266093591694700944343418591663694367332768609699743249149929683474716479915525616068650260570394604962187996754335707241 Method=ECM B1=1000000 Sigma=289105393 |
software ソフトウェア | gmp-ecm 6.2 |
execution environment 実行環境 | Ubuntu Linux 10.04, Athlon 64x2 2600+, 1G RAM |
name 名前 | Daniel Morel |
---|---|
date 日付 | February 2, 2022 16:39:25 UTC 2022 年 2 月 3 日 (木) 1 時 39 分 25 秒 (日本時間) |
composite number 合成数 | 537113748190816923485281042551225092133313723304891569266093591694700944343418591663694367332768609699743249149929683474716479915525616068650260570394604962187996754335707241<174> |
prime factors 素因数 | 468968493051342834109651937816038667962541913371626125097716409<63> 1145308813170128090217704265890946631702590426371667810688857388157424337742570543710919514262613514149582764849<112> |
factorization results 素因数分解の結果 | Polynomial: X^6 + 30 ; m = 10^41 rlim = alim = 74000000 lpbr = lpba = 30 mfbr = mfba = 61 rlambda = alambda = 2.8 skew = 3.1 qintsize = 100000 Matrix : 15366121 x 15366298 total time: 408 days or so p63 = 468968493051342834109651937816038667962541913371626125097716409 p112 = 1145308813170128090217704265890946631702590426371667810688857388157424337742570543710919514262613514149582764849 |
software ソフトウェア | GGNFS-0.77.1 (relations) and msieve 1.53 (matrix) |
execution environment 実行環境 | Windows 10 (Intel Core I5 3.5 GHz) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | December 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 300 | Ignacio Santos | June 5, 2011 17:45:23 UTC 2011 年 6 月 6 日 (月) 2 時 45 分 23 秒 (日本時間) | |
40 | 3e6 | 2159 | 110 | Ignacio Santos | June 5, 2011 17:45:23 UTC 2011 年 6 月 6 日 (月) 2 時 45 分 23 秒 (日本時間) |
2049 | Youcef Lemsafer | November 8, 2013 16:12:43 UTC 2013 年 11 月 9 日 (土) 1 時 12 分 43 秒 (日本時間) | |||
45 | 11e6 | 554 | 32 | Ignacio Santos | June 5, 2011 17:45:23 UTC 2011 年 6 月 6 日 (月) 2 時 45 分 23 秒 (日本時間) |
522 | Youcef Lemsafer | November 8, 2013 20:30:17 UTC 2013 年 11 月 9 日 (土) 5 時 30 分 17 秒 (日本時間) | |||
50 | 43e6 | 1000 / 7346 | Robert Balfour | July 2, 2020 00:01:13 UTC 2020 年 7 月 2 日 (木) 9 時 1 分 13 秒 (日本時間) |
name 名前 | Daniel Morel |
---|---|
date 日付 | September 5, 2022 12:52:02 UTC 2022 年 9 月 5 日 (月) 21 時 52 分 2 秒 (日本時間) |
composite number 合成数 | 860793416383522320552412138060546611814578353151000210663963266532769445331777125007358863024734133527024112180102529918351418734778813241296780990004204739231585559546057004553109488628293560203952643513251701<210> |
prime factors 素因数 | 32480076544874262919055800155111318287240408671152992484386605492686390971<74> 26502197899510973260081710574434078012832503154554105941724215095917198367735954068687225334501071291481015892886142037473099251625119631<137> |
factorization results 素因数分解の結果 | Polynomial: 10 X^6 + 3 ; m = 10^41 rlim = alim = 61000000 lpbr = lpba = 30 mfbr = mfba = 61 rlambda = alambda = 2.8 skew = 1.1 qintsize = 100000 Matrix : 13271199 x 13271374 total time: 375 days or so p74 = 32480076544874262919055800155111318287240408671152992484386605492686390971 p137 = 26502197899510973260081710574434078012832503154554105941724215095917198367735954068687225334501071291481015892886142037473099251625119631 |
software ソフトウェア | GGNFS-0.77.1 (relations) and msieve 1.53 (matrix) |
execution environment 実行環境 | Windows 10 (40 * Intel Core I5 3.5 GHz) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | December 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 300 | Ignacio Santos | June 5, 2011 19:15:09 UTC 2011 年 6 月 6 日 (月) 4 時 15 分 9 秒 (日本時間) | |
40 | 3e6 | 2173 | 110 | Ignacio Santos | June 5, 2011 19:15:09 UTC 2011 年 6 月 6 日 (月) 4 時 15 分 9 秒 (日本時間) |
2063 | Youcef Lemsafer | November 9, 2013 06:28:50 UTC 2013 年 11 月 9 日 (土) 15 時 28 分 50 秒 (日本時間) | |||
45 | 11e6 | 1382 | 32 | Ignacio Santos | June 5, 2011 19:15:09 UTC 2011 年 6 月 6 日 (月) 4 時 15 分 9 秒 (日本時間) |
1350 | Youcef Lemsafer | November 9, 2013 10:46:14 UTC 2013 年 11 月 9 日 (土) 19 時 46 分 14 秒 (日本時間) | |||
50 | 43e6 | 1000 / 7159 | Robert Balfour | July 2, 2020 00:01:38 UTC 2020 年 7 月 2 日 (木) 9 時 1 分 38 秒 (日本時間) |
name 名前 | Youcef Lemsafer |
---|---|
date 日付 | November 9, 2013 10:50:09 UTC 2013 年 11 月 9 日 (土) 19 時 50 分 9 秒 (日本時間) |
composite number 合成数 | 187068287965862988254356650994366431093646233238958165472687247300909871046176050579761635445826812286881972346829349171566903949006603607387258814299826283313912487991263468411788506892631943215469625141837046221018444607392687<228> |
prime factors 素因数 | 16031381961952347637116191005607843989279<41> |
composite cofactor 合成数の残り | 11668880974194022388360515015151934014030522712869175584429869177818905983854793679758130377670470140013220976379335085381836660332213769796601786392265560532448629113504228151678513527153<188> |
factorization results 素因数分解の結果 | GMP-ECM 6.4.4 [configured with MPIR 2.6.0] [ECM] Input number is (10^248+3)/(19*223*126165718229274337) (228 digits) Using MODMULN [mulredc:0, sqrredc:0] Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3741404180 dF=16384, k=2, d=158340, d2=11, i0=8 Expected number of curves to find a factor of n digits: 35 40 45 50 55 60 65 70 75 80 324 2351 20272 201449 2247436 2.8e+007 3.9e+008 6e+009 1.1e+011 7.4e+015 Step 1 took 20482ms Using 27 small primes for NTT Estimated memory usage: 72M Initializing tables of differences for F took 15ms Computing roots of F took 499ms Building F from its roots took 1358ms Computing 1/F took 780ms Initializing table of differences for G took 15ms Computing roots of G took 484ms Building G from its roots took 1295ms Computing roots of G took 452ms Building G from its roots took 1279ms Computing G * H took 421ms Reducing G * H mod F took 468ms Computing polyeval(F,G) took 2714ms Computing product of all F(g_i) took 16ms Step 2 took 9860ms ********** Factor found in step 2: 16031381961952347637116191005607843989279 Found probable prime factor of 41 digits: 16031381961952347637116191005607843989279 Composite cofactor ((10^248+3)/(19*223*126165718229274337))/16031381961952347637116191005607843989279 has 188 digits |
name 名前 | Youcef Lemsafer |
---|---|
date 日付 | November 9, 2013 14:08:01 UTC 2013 年 11 月 9 日 (土) 23 時 8 分 1 秒 (日本時間) |
composite number 合成数 | 11668880974194022388360515015151934014030522712869175584429869177818905983854793679758130377670470140013220976379335085381836660332213769796601786392265560532448629113504228151678513527153<188> |
prime factors 素因数 | 12824921391934305400334065366552991673187<41> 909859843782954803669485606744362871393328807169614827921227676725219063311610988441194226628043951030778661638644866053620575275871547399180001819<147> |
factorization results 素因数分解の結果 | GMP-ECM 6.4.4 [configured with MPIR 2.6.0] [ECM] Input number is (10^248+3)/(19*223*126165718229274337*16031381961952347637116191005607843989279) (188 digits) Using MODMULN [mulredc:0, sqrredc:0] Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1601899263 dF=16384, k=2, d=158340, d2=11, i0=8 Expected number of curves to find a factor of n digits: 35 40 45 50 55 60 65 70 75 80 324 2351 20272 201449 2247436 2.8e+007 3.9e+008 6e+009 1.1e+011 7.4e+015 Step 1 took 15100ms Using 23 small primes for NTT Estimated memory usage: 61M Initializing tables of differences for F took 0ms Computing roots of F took 421ms Building F from its roots took 1092ms Computing 1/F took 640ms Initializing table of differences for G took 16ms Computing roots of G took 374ms Building G from its roots took 1076ms Computing roots of G took 375ms Building G from its roots took 1092ms Computing G * H took 359ms Reducing G * H mod F took 390ms Computing polyeval(F,G) took 2230ms Computing product of all F(g_i) took 16ms Step 2 took 8144ms ********** Factor found in step 2: 12824921391934305400334065366552991673187 Found probable prime factor of 41 digits: 12824921391934305400334065366552991673187 Probable prime cofactor ((10^248+3)/(19*223*126165718229274337*16031381961952347637116191005607843989279))/12824921391934305400334065366552991673187 has 147 digits |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | December 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 300 | Ignacio Santos | June 5, 2011 21:19:05 UTC 2011 年 6 月 6 日 (月) 6 時 19 分 5 秒 (日本時間) | |
40 | 3e6 | 1457 / 2144 | 110 | Ignacio Santos | June 5, 2011 21:19:05 UTC 2011 年 6 月 6 日 (月) 6 時 19 分 5 秒 (日本時間) |
275 | Youcef Lemsafer | November 9, 2013 10:47:25 UTC 2013 年 11 月 9 日 (土) 19 時 47 分 25 秒 (日本時間) | |||
1072 | Youcef Lemsafer | November 9, 2013 14:06:57 UTC 2013 年 11 月 9 日 (土) 23 時 6 分 57 秒 (日本時間) | |||
45 | 11e6 | 32 / 4143 | Ignacio Santos | June 5, 2011 21:19:05 UTC 2011 年 6 月 6 日 (月) 6 時 19 分 5 秒 (日本時間) |
name 名前 | RSALS + Jeff Gilchrist |
---|---|
date 日付 | May 8, 2010 10:28:43 UTC 2010 年 5 月 8 日 (土) 19 時 28 分 43 秒 (日本時間) |
composite number 合成数 | 33222591362126245847176079734219269102990033222591362126245847176079734219269102990033222591362126245847176079734219269102990033222591362126245847176079734219269102990033222591362126245847176079734219269102990033222591362126245847176079734219269103<248> |
prime factors 素因数 | 1012809912772949923378144696975861902413702431<46> 1774117486132956141457234973491829250427156975510339<52> 48125349750791910686580777709024796929599190379104252235040093941183527<71> 384192856833907847524586566390613365418318013593453279573413992127914439985524621<81> |
factorization results 素因数分解の結果 | <ECM up to t45 by yoyo@home> <sieving by the RSALS grid> <filtering, linear algebra and square root by Jeff Gilchrist> Tue Apr 13 06:11:06 2010 Tue Apr 13 06:11:06 2010 Tue Apr 13 06:11:06 2010 Msieve v. 1.44 Tue Apr 13 06:11:06 2010 random seeds: 1f530fe2 e9db9fa4 Tue Apr 13 06:11:06 2010 factoring 33222591362126245847176079734219269102990033222591362126245847176079734219269102990033222591362126245847176079734219269102990033222591362126245847176079734219269102990033222591362126245847176079734219269102990033222591362126245847176079734219269103 (248 digits) Tue Apr 13 06:11:10 2010 no P-1/P+1/ECM available, skipping Tue Apr 13 06:11:10 2010 commencing number field sieve (248-digit input) Tue Apr 13 06:11:10 2010 R0: -100000000000000000000000000000000000000000 Tue Apr 13 06:11:10 2010 R1: 1 Tue Apr 13 06:11:10 2010 A0: 3 Tue Apr 13 06:11:10 2010 A1: 0 Tue Apr 13 06:11:10 2010 A2: 0 Tue Apr 13 06:11:10 2010 A3: 0 Tue Apr 13 06:11:10 2010 A4: 0 Tue Apr 13 06:11:10 2010 A5: 0 Tue Apr 13 06:11:10 2010 A6: 10000 Tue Apr 13 06:11:10 2010 skew 0.26, size 2.694593e-12, alpha -1.601825, combined = 2.466062e-13 Tue Apr 13 06:11:11 2010 Tue Apr 13 06:11:11 2010 commencing relation filtering Tue Apr 13 06:11:11 2010 estimated available RAM is 32159.4 MB Tue Apr 13 06:11:11 2010 commencing duplicate removal, pass 1 <snip errors reading relations> Tue Apr 13 06:50:10 2010 found 43479897 hash collisions in 223251500 relations Tue Apr 13 06:50:25 2010 added 2437510 free relations Tue Apr 13 06:50:26 2010 commencing duplicate removal, pass 2 Tue Apr 13 06:53:37 2010 found 42825421 duplicates and 182863589 unique relations Tue Apr 13 06:53:37 2010 memory use: 1321.5 MB Tue Apr 13 06:53:38 2010 reading ideals above 168230912 Tue Apr 13 06:53:38 2010 commencing singleton removal, initial pass Tue Apr 13 07:28:52 2010 memory use: 3012.0 MB Tue Apr 13 07:28:53 2010 reading all ideals from disk Tue Apr 13 07:29:06 2010 memory use: 3265.0 MB Tue Apr 13 07:29:28 2010 commencing in-memory singleton removal Tue Apr 13 07:29:49 2010 begin with 182863589 relations and 153496118 unique ideals Tue Apr 13 07:33:26 2010 reduce to 111407076 relations and 73911976 ideals in 14 passes Tue Apr 13 07:33:26 2010 max relations containing the same ideal: 34 Tue Apr 13 07:33:52 2010 reading ideals above 720000 Tue Apr 13 07:33:53 2010 commencing singleton removal, initial pass Tue Apr 13 08:03:23 2010 memory use: 2756.0 MB Tue Apr 13 08:03:24 2010 reading all ideals from disk Tue Apr 13 08:03:40 2010 memory use: 4423.2 MB Tue Apr 13 08:04:13 2010 keeping 92142531 ideals with weight <= 200, target excess is 580335 Tue Apr 13 08:04:51 2010 commencing in-memory singleton removal Tue Apr 13 08:05:19 2010 begin with 111407076 relations and 92142531 unique ideals Tue Apr 13 08:09:35 2010 reduce to 111365903 relations and 92101357 ideals in 9 passes Tue Apr 13 08:09:35 2010 max relations containing the same ideal: 200 Tue Apr 13 08:11:43 2010 removing 3591582 relations and 3191582 ideals in 400000 cliques Tue Apr 13 08:11:52 2010 commencing in-memory singleton removal Tue Apr 13 08:12:19 2010 begin with 107774321 relations and 92101357 unique ideals Tue Apr 13 08:15:32 2010 reduce to 107715226 relations and 88850361 ideals in 7 passes Tue Apr 13 08:15:32 2010 max relations containing the same ideal: 200 Tue Apr 13 08:17:34 2010 removing 2670387 relations and 2270387 ideals in 400000 cliques Tue Apr 13 08:17:43 2010 commencing in-memory singleton removal Tue Apr 13 08:18:09 2010 begin with 105044839 relations and 88850361 unique ideals Tue Apr 13 08:20:50 2010 reduce to 105008983 relations and 86543979 ideals in 6 passes Tue Apr 13 08:20:50 2010 max relations containing the same ideal: 199 Tue Apr 13 08:22:49 2010 removing 2365025 relations and 1965025 ideals in 400000 cliques Tue Apr 13 08:22:57 2010 commencing in-memory singleton removal Tue Apr 13 08:23:23 2010 begin with 102643958 relations and 86543979 unique ideals Tue Apr 13 08:26:00 2010 reduce to 102614316 relations and 84549175 ideals in 6 passes Tue Apr 13 08:26:00 2010 max relations containing the same ideal: 196 Tue Apr 13 08:27:56 2010 removing 2187615 relations and 1787615 ideals in 400000 cliques Tue Apr 13 08:28:04 2010 commencing in-memory singleton removal Tue Apr 13 08:28:29 2010 begin with 100426701 relations and 84549175 unique ideals Tue Apr 13 08:31:03 2010 reduce to 100400544 relations and 82735308 ideals in 6 passes Tue Apr 13 08:31:03 2010 max relations containing the same ideal: 194 Tue Apr 13 08:32:55 2010 removing 2064887 relations and 1664887 ideals in 400000 cliques Tue Apr 13 08:33:03 2010 commencing in-memory singleton removal Tue Apr 13 08:33:28 2010 begin with 98335657 relations and 82735308 unique ideals Tue Apr 13 08:35:57 2010 reduce to 98312399 relations and 81047074 ideals in 6 passes Tue Apr 13 08:35:57 2010 max relations containing the same ideal: 191 Tue Apr 13 08:37:48 2010 removing 1966709 relations and 1566709 ideals in 400000 cliques Tue Apr 13 08:37:55 2010 commencing in-memory singleton removal Tue Apr 13 08:38:19 2010 begin with 96345690 relations and 81047074 unique ideals Tue Apr 13 08:40:22 2010 reduce to 96323313 relations and 79457908 ideals in 5 passes Tue Apr 13 08:40:22 2010 max relations containing the same ideal: 189 Tue Apr 13 08:42:09 2010 removing 1895281 relations and 1495281 ideals in 400000 cliques Tue Apr 13 08:42:17 2010 commencing in-memory singleton removal Tue Apr 13 08:42:40 2010 begin with 94428032 relations and 79457908 unique ideals Tue Apr 13 08:45:04 2010 reduce to 94407291 relations and 77941803 ideals in 6 passes Tue Apr 13 08:45:04 2010 max relations containing the same ideal: 186 Tue Apr 13 08:46:49 2010 removing 1824898 relations and 1424898 ideals in 400000 cliques Tue Apr 13 08:46:57 2010 commencing in-memory singleton removal Tue Apr 13 08:47:20 2010 begin with 92582393 relations and 77941803 unique ideals Tue Apr 13 08:49:17 2010 reduce to 92560530 relations and 76494955 ideals in 5 passes Tue Apr 13 08:49:17 2010 max relations containing the same ideal: 184 Tue Apr 13 08:51:00 2010 removing 1779731 relations and 1379731 ideals in 400000 cliques Tue Apr 13 08:51:07 2010 commencing in-memory singleton removal Tue Apr 13 08:51:30 2010 begin with 90780799 relations and 76494955 unique ideals Tue Apr 13 08:53:24 2010 reduce to 90762386 relations and 75096744 ideals in 5 passes Tue Apr 13 08:53:24 2010 max relations containing the same ideal: 182 Tue Apr 13 08:55:06 2010 removing 1726448 relations and 1326448 ideals in 400000 cliques Tue Apr 13 08:55:13 2010 commencing in-memory singleton removal Tue Apr 13 08:55:35 2010 begin with 89035938 relations and 75096744 unique ideals Tue Apr 13 08:57:27 2010 reduce to 89016595 relations and 73750882 ideals in 5 passes Tue Apr 13 08:57:27 2010 max relations containing the same ideal: 180 Tue Apr 13 08:59:06 2010 removing 1693905 relations and 1293905 ideals in 400000 cliques Tue Apr 13 08:59:13 2010 commencing in-memory singleton removal Tue Apr 13 08:59:35 2010 begin with 87322690 relations and 73750882 unique ideals Tue Apr 13 09:01:46 2010 reduce to 87303442 relations and 72437653 ideals in 6 passes Tue Apr 13 09:01:47 2010 max relations containing the same ideal: 180 Tue Apr 13 09:03:24 2010 removing 1652260 relations and 1252260 ideals in 400000 cliques Tue Apr 13 09:03:30 2010 commencing in-memory singleton removal Tue Apr 13 09:03:51 2010 begin with 85651182 relations and 72437653 unique ideals Tue Apr 13 09:05:39 2010 reduce to 85631786 relations and 71165908 ideals in 5 passes Tue Apr 13 09:05:39 2010 max relations containing the same ideal: 179 Tue Apr 13 09:07:15 2010 removing 1632433 relations and 1232433 ideals in 400000 cliques Tue Apr 13 09:07:21 2010 commencing in-memory singleton removal Tue Apr 13 09:07:42 2010 begin with 83999353 relations and 71165908 unique ideals Tue Apr 13 09:09:49 2010 reduce to 83983308 relations and 69917363 ideals in 6 passes Tue Apr 13 09:09:49 2010 max relations containing the same ideal: 174 Tue Apr 13 09:11:22 2010 removing 1590500 relations and 1190500 ideals in 400000 cliques Tue Apr 13 09:11:28 2010 commencing in-memory singleton removal Tue Apr 13 09:11:49 2010 begin with 82392808 relations and 69917363 unique ideals Tue Apr 13 09:13:32 2010 reduce to 82375705 relations and 68709702 ideals in 5 passes Tue Apr 13 09:13:32 2010 max relations containing the same ideal: 173 Tue Apr 13 09:15:03 2010 removing 1570418 relations and 1170418 ideals in 400000 cliques Tue Apr 13 09:15:10 2010 commencing in-memory singleton removal Tue Apr 13 09:15:30 2010 begin with 80805287 relations and 68709702 unique ideals Tue Apr 13 09:17:11 2010 reduce to 80788165 relations and 67522097 ideals in 5 passes Tue Apr 13 09:17:11 2010 max relations containing the same ideal: 169 Tue Apr 13 09:18:40 2010 removing 1550542 relations and 1150542 ideals in 400000 cliques Tue Apr 13 09:18:46 2010 commencing in-memory singleton removal Tue Apr 13 09:19:06 2010 begin with 79237623 relations and 67522097 unique ideals Tue Apr 13 09:21:05 2010 reduce to 79220680 relations and 66354541 ideals in 6 passes Tue Apr 13 09:21:05 2010 max relations containing the same ideal: 167 Tue Apr 13 09:22:33 2010 removing 1530050 relations and 1130050 ideals in 400000 cliques Tue Apr 13 09:22:39 2010 commencing in-memory singleton removal Tue Apr 13 09:22:58 2010 begin with 77690630 relations and 66354541 unique ideals Tue Apr 13 09:24:55 2010 reduce to 77673118 relations and 65206886 ideals in 6 passes Tue Apr 13 09:24:55 2010 max relations containing the same ideal: 167 Tue Apr 13 09:26:20 2010 removing 1491952 relations and 1091952 ideals in 400000 cliques Tue Apr 13 09:26:26 2010 commencing in-memory singleton removal Tue Apr 13 09:26:45 2010 begin with 76181166 relations and 65206886 unique ideals Tue Apr 13 09:28:21 2010 reduce to 76161084 relations and 64094750 ideals in 5 passes Tue Apr 13 09:28:21 2010 max relations containing the same ideal: 165 Tue Apr 13 09:29:45 2010 removing 1494226 relations and 1094226 ideals in 400000 cliques Tue Apr 13 09:29:50 2010 commencing in-memory singleton removal Tue Apr 13 09:30:09 2010 begin with 74666858 relations and 64094750 unique ideals Tue Apr 13 09:32:01 2010 reduce to 74651513 relations and 62985097 ideals in 6 passes Tue Apr 13 09:32:01 2010 max relations containing the same ideal: 163 Tue Apr 13 09:33:23 2010 removing 1454148 relations and 1054148 ideals in 400000 cliques Tue Apr 13 09:33:29 2010 commencing in-memory singleton removal Tue Apr 13 09:33:47 2010 begin with 73197365 relations and 62985097 unique ideals Tue Apr 13 09:35:00 2010 reduce to 73180997 relations and 61914496 ideals in 4 passes Tue Apr 13 09:35:00 2010 max relations containing the same ideal: 161 Tue Apr 13 09:36:21 2010 removing 1440358 relations and 1040358 ideals in 400000 cliques Tue Apr 13 09:36:27 2010 commencing in-memory singleton removal Tue Apr 13 09:36:44 2010 begin with 71740639 relations and 61914496 unique ideals Tue Apr 13 09:38:14 2010 reduce to 71723840 relations and 60857261 ideals in 5 passes Tue Apr 13 09:38:14 2010 max relations containing the same ideal: 158 Tue Apr 13 09:39:33 2010 removing 1421422 relations and 1021422 ideals in 400000 cliques Tue Apr 13 09:39:38 2010 commencing in-memory singleton removal Tue Apr 13 09:39:56 2010 begin with 70302418 relations and 60857261 unique ideals Tue Apr 13 09:41:24 2010 reduce to 70284596 relations and 59817905 ideals in 5 passes Tue Apr 13 09:41:24 2010 max relations containing the same ideal: 156 Tue Apr 13 09:42:41 2010 removing 1415111 relations and 1015111 ideals in 400000 cliques Tue Apr 13 09:42:46 2010 commencing in-memory singleton removal Tue Apr 13 09:43:03 2010 begin with 68869485 relations and 59817905 unique ideals Tue Apr 13 09:44:29 2010 reduce to 68851483 relations and 58784685 ideals in 5 passes Tue Apr 13 09:44:29 2010 max relations containing the same ideal: 156 Tue Apr 13 09:45:45 2010 removing 1408952 relations and 1008952 ideals in 400000 cliques Tue Apr 13 09:45:50 2010 commencing in-memory singleton removal Tue Apr 13 09:46:07 2010 begin with 67442531 relations and 58784685 unique ideals Tue Apr 13 09:47:31 2010 reduce to 67425370 relations and 57758468 ideals in 5 passes Tue Apr 13 09:47:31 2010 max relations containing the same ideal: 154 Tue Apr 13 09:48:45 2010 removing 1386404 relations and 986404 ideals in 400000 cliques Tue Apr 13 09:48:50 2010 commencing in-memory singleton removal Tue Apr 13 09:49:07 2010 begin with 66038966 relations and 57758468 unique ideals Tue Apr 13 09:50:29 2010 reduce to 66021035 relations and 56754024 ideals in 5 passes Tue Apr 13 09:50:29 2010 max relations containing the same ideal: 151 Tue Apr 13 09:51:41 2010 removing 1375994 relations and 975994 ideals in 400000 cliques Tue Apr 13 09:51:46 2010 commencing in-memory singleton removal Tue Apr 13 09:52:02 2010 begin with 64645041 relations and 56754024 unique ideals Tue Apr 13 09:53:23 2010 reduce to 64626484 relations and 55759333 ideals in 5 passes Tue Apr 13 09:53:23 2010 max relations containing the same ideal: 148 Tue Apr 13 09:54:34 2010 removing 1368184 relations and 968184 ideals in 400000 cliques Tue Apr 13 09:54:39 2010 commencing in-memory singleton removal Tue Apr 13 09:54:55 2010 begin with 63258300 relations and 55759333 unique ideals Tue Apr 13 09:56:14 2010 reduce to 63239394 relations and 54772114 ideals in 5 passes Tue Apr 13 09:56:14 2010 max relations containing the same ideal: 146 Tue Apr 13 09:57:23 2010 removing 1352362 relations and 952362 ideals in 400000 cliques Tue Apr 13 09:57:28 2010 commencing in-memory singleton removal Tue Apr 13 09:57:43 2010 begin with 61887032 relations and 54772114 unique ideals Tue Apr 13 09:59:00 2010 reduce to 61867079 relations and 53799633 ideals in 5 passes Tue Apr 13 09:59:00 2010 max relations containing the same ideal: 146 Tue Apr 13 10:00:08 2010 removing 1341809 relations and 941809 ideals in 400000 cliques Tue Apr 13 10:00:12 2010 commencing in-memory singleton removal Tue Apr 13 10:00:27 2010 begin with 60525270 relations and 53799633 unique ideals Tue Apr 13 10:01:43 2010 reduce to 60504642 relations and 52837021 ideals in 5 passes Tue Apr 13 10:01:43 2010 max relations containing the same ideal: 143 Tue Apr 13 10:02:49 2010 removing 1328918 relations and 928918 ideals in 400000 cliques Tue Apr 13 10:02:54 2010 commencing in-memory singleton removal Tue Apr 13 10:03:08 2010 begin with 59175724 relations and 52837021 unique ideals Tue Apr 13 10:04:22 2010 reduce to 59154147 relations and 51886347 ideals in 5 passes Tue Apr 13 10:04:22 2010 max relations containing the same ideal: 138 Tue Apr 13 10:05:27 2010 removing 1322231 relations and 922231 ideals in 400000 cliques Tue Apr 13 10:05:31 2010 commencing in-memory singleton removal Tue Apr 13 10:05:46 2010 begin with 57831916 relations and 51886347 unique ideals Tue Apr 13 10:06:58 2010 reduce to 57811433 relations and 50943455 ideals in 5 passes Tue Apr 13 10:06:58 2010 max relations containing the same ideal: 136 Tue Apr 13 10:08:01 2010 removing 1312981 relations and 912981 ideals in 400000 cliques Tue Apr 13 10:08:06 2010 commencing in-memory singleton removal Tue Apr 13 10:08:19 2010 begin with 56498452 relations and 50943455 unique ideals Tue Apr 13 10:09:30 2010 reduce to 56478647 relations and 50010461 ideals in 5 passes Tue Apr 13 10:09:30 2010 max relations containing the same ideal: 135 Tue Apr 13 10:10:32 2010 removing 1303383 relations and 903383 ideals in 400000 cliques Tue Apr 13 10:10:36 2010 commencing in-memory singleton removal Tue Apr 13 10:10:49 2010 begin with 55175264 relations and 50010461 unique ideals Tue Apr 13 10:11:58 2010 reduce to 55155505 relations and 49087141 ideals in 5 passes Tue Apr 13 10:11:58 2010 max relations containing the same ideal: 135 Tue Apr 13 10:12:59 2010 removing 1295826 relations and 895826 ideals in 400000 cliques Tue Apr 13 10:13:03 2010 commencing in-memory singleton removal Tue Apr 13 10:13:16 2010 begin with 53859679 relations and 49087141 unique ideals Tue Apr 13 10:14:23 2010 reduce to 53839778 relations and 48171236 ideals in 5 passes Tue Apr 13 10:14:23 2010 max relations containing the same ideal: 131 Tue Apr 13 10:15:22 2010 removing 1288593 relations and 888593 ideals in 400000 cliques Tue Apr 13 10:15:26 2010 commencing in-memory singleton removal Tue Apr 13 10:15:39 2010 begin with 52551185 relations and 48171236 unique ideals Tue Apr 13 10:16:45 2010 reduce to 52530573 relations and 47261828 ideals in 5 passes Tue Apr 13 10:16:45 2010 max relations containing the same ideal: 130 Tue Apr 13 10:17:42 2010 removing 1285619 relations and 885619 ideals in 400000 cliques Tue Apr 13 10:17:46 2010 commencing in-memory singleton removal Tue Apr 13 10:17:59 2010 begin with 51244954 relations and 47261828 unique ideals Tue Apr 13 10:19:02 2010 reduce to 51223548 relations and 46354616 ideals in 5 passes Tue Apr 13 10:19:02 2010 max relations containing the same ideal: 126 Tue Apr 13 10:19:58 2010 removing 1285726 relations and 885726 ideals in 400000 cliques Tue Apr 13 10:20:02 2010 commencing in-memory singleton removal Tue Apr 13 10:20:15 2010 begin with 49937822 relations and 46354616 unique ideals Tue Apr 13 10:21:17 2010 reduce to 49916324 relations and 45447166 ideals in 5 passes Tue Apr 13 10:21:17 2010 max relations containing the same ideal: 123 Tue Apr 13 10:22:11 2010 removing 1279651 relations and 879651 ideals in 400000 cliques Tue Apr 13 10:22:15 2010 commencing in-memory singleton removal Tue Apr 13 10:22:27 2010 begin with 48636673 relations and 45447166 unique ideals Tue Apr 13 10:23:28 2010 reduce to 48614688 relations and 44545298 ideals in 5 passes Tue Apr 13 10:23:28 2010 max relations containing the same ideal: 121 Tue Apr 13 10:24:21 2010 removing 1275645 relations and 875645 ideals in 400000 cliques Tue Apr 13 10:24:24 2010 commencing in-memory singleton removal Tue Apr 13 10:24:36 2010 begin with 47339043 relations and 44545298 unique ideals Tue Apr 13 10:25:35 2010 reduce to 47316014 relations and 43646392 ideals in 5 passes Tue Apr 13 10:25:35 2010 max relations containing the same ideal: 117 Tue Apr 13 10:26:27 2010 removing 1273252 relations and 873252 ideals in 400000 cliques Tue Apr 13 10:26:30 2010 commencing in-memory singleton removal Tue Apr 13 10:26:42 2010 begin with 46042762 relations and 43646392 unique ideals Tue Apr 13 10:27:39 2010 reduce to 46018796 relations and 42748945 ideals in 5 passes Tue Apr 13 10:27:39 2010 max relations containing the same ideal: 117 Tue Apr 13 10:28:29 2010 removing 1271900 relations and 871900 ideals in 400000 cliques Tue Apr 13 10:28:33 2010 commencing in-memory singleton removal Tue Apr 13 10:28:44 2010 begin with 44746896 relations and 42748945 unique ideals Tue Apr 13 10:29:50 2010 reduce to 44721875 relations and 41851744 ideals in 6 passes Tue Apr 13 10:29:50 2010 max relations containing the same ideal: 115 Tue Apr 13 10:30:39 2010 removing 1269624 relations and 869624 ideals in 400000 cliques Tue Apr 13 10:30:43 2010 commencing in-memory singleton removal Tue Apr 13 10:30:53 2010 begin with 43452251 relations and 41851744 unique ideals Tue Apr 13 10:31:47 2010 reduce to 43426114 relations and 40955660 ideals in 5 passes Tue Apr 13 10:31:47 2010 max relations containing the same ideal: 114 Tue Apr 13 10:32:35 2010 removing 1270092 relations and 870092 ideals in 400000 cliques Tue Apr 13 10:32:38 2010 commencing in-memory singleton removal Tue Apr 13 10:32:49 2010 begin with 42156022 relations and 40955660 unique ideals Tue Apr 13 10:33:41 2010 reduce to 42128458 relations and 40057703 ideals in 5 passes Tue Apr 13 10:33:41 2010 max relations containing the same ideal: 112 Tue Apr 13 10:34:27 2010 removing 1271804 relations and 871804 ideals in 400000 cliques Tue Apr 13 10:34:30 2010 commencing in-memory singleton removal Tue Apr 13 10:34:40 2010 begin with 40856654 relations and 40057703 unique ideals Tue Apr 13 10:35:31 2010 reduce to 40827673 relations and 39156565 ideals in 5 passes Tue Apr 13 10:35:31 2010 max relations containing the same ideal: 109 Tue Apr 13 10:36:16 2010 removing 1274434 relations and 874434 ideals in 400000 cliques Tue Apr 13 10:36:19 2010 commencing in-memory singleton removal Tue Apr 13 10:36:29 2010 begin with 39553239 relations and 39156565 unique ideals Tue Apr 13 10:37:27 2010 reduce to 39522481 relations and 38251026 ideals in 6 passes Tue Apr 13 10:37:28 2010 max relations containing the same ideal: 109 Tue Apr 13 10:38:11 2010 removing 1282153 relations and 882153 ideals in 400000 cliques Tue Apr 13 10:38:14 2010 commencing in-memory singleton removal Tue Apr 13 10:38:23 2010 begin with 38240328 relations and 38251026 unique ideals Tue Apr 13 10:39:11 2010 reduce to 38208464 relations and 37336626 ideals in 5 passes Tue Apr 13 10:39:11 2010 max relations containing the same ideal: 105 Tue Apr 13 10:39:53 2010 removing 719869 relations and 521220 ideals in 198649 cliques Tue Apr 13 10:39:56 2010 commencing in-memory singleton removal Tue Apr 13 10:40:05 2010 begin with 37488595 relations and 37336626 unique ideals Tue Apr 13 10:40:51 2010 reduce to 37479730 relations and 36806504 ideals in 5 passes Tue Apr 13 10:40:51 2010 max relations containing the same ideal: 102 Tue Apr 13 10:41:13 2010 relations with 0 large ideals: 38533 Tue Apr 13 10:41:14 2010 relations with 1 large ideals: 5686 Tue Apr 13 10:41:14 2010 relations with 2 large ideals: 73674 Tue Apr 13 10:41:14 2010 relations with 3 large ideals: 546295 Tue Apr 13 10:41:14 2010 relations with 4 large ideals: 2246974 Tue Apr 13 10:41:14 2010 relations with 5 large ideals: 5625863 Tue Apr 13 10:41:14 2010 relations with 6 large ideals: 8966458 Tue Apr 13 10:41:14 2010 relations with 7+ large ideals: 19976247 Tue Apr 13 10:41:14 2010 commencing 2-way merge Tue Apr 13 10:42:13 2010 reduce to 27539848 relation sets and 26866622 unique ideals Tue Apr 13 10:42:14 2010 commencing full merge Tue Apr 13 10:57:23 2010 memory use: 3316.1 MB Tue Apr 13 10:57:30 2010 found 14519349 cycles, need 14426822 Tue Apr 13 10:57:40 2010 weight of 14426822 cycles is about 1009931651 (70.00/cycle) Tue Apr 13 10:57:40 2010 distribution of cycle lengths: Tue Apr 13 10:57:40 2010 1 relations: 1199720 Tue Apr 13 10:57:40 2010 2 relations: 1647683 Tue Apr 13 10:57:40 2010 3 relations: 1845385 Tue Apr 13 10:57:40 2010 4 relations: 1819756 Tue Apr 13 10:57:40 2010 5 relations: 1708396 Tue Apr 13 10:57:40 2010 6 relations: 1503025 Tue Apr 13 10:57:40 2010 7 relations: 1260559 Tue Apr 13 10:57:41 2010 8 relations: 1005517 Tue Apr 13 10:57:41 2010 9 relations: 768422 Tue Apr 13 10:57:41 2010 10+ relations: 1668359 Tue Apr 13 10:57:41 2010 heaviest cycle: 20 relations Tue Apr 13 10:57:49 2010 commencing cycle optimization Tue Apr 13 10:58:28 2010 start with 78002472 relations Tue Apr 13 11:02:33 2010 pruned 2503866 relations Tue Apr 13 11:02:35 2010 memory use: 2391.2 MB Tue Apr 13 11:02:35 2010 distribution of cycle lengths: Tue Apr 13 11:02:35 2010 1 relations: 1199720 Tue Apr 13 11:02:35 2010 2 relations: 1680713 Tue Apr 13 11:02:35 2010 3 relations: 1914827 Tue Apr 13 11:02:35 2010 4 relations: 1881658 Tue Apr 13 11:02:35 2010 5 relations: 1777341 Tue Apr 13 11:02:35 2010 6 relations: 1548061 Tue Apr 13 11:02:35 2010 7 relations: 1289180 Tue Apr 13 11:02:35 2010 8 relations: 1003104 Tue Apr 13 11:02:35 2010 9 relations: 747615 Tue Apr 13 11:02:35 2010 10+ relations: 1384603 Tue Apr 13 11:02:35 2010 heaviest cycle: 20 relations Tue Apr 13 11:03:16 2010 RelProcTime: 17525 Tue Apr 13 11:03:26 2010 Tue Apr 13 11:03:26 2010 commencing linear algebra Tue Apr 13 11:03:30 2010 read 14426822 cycles Tue Apr 13 11:04:09 2010 cycles contain 37252494 unique relations Tue Apr 13 11:13:34 2010 read 37252494 relations Tue Apr 13 11:15:19 2010 using 20 quadratic characters above 2147478920 Tue Apr 13 11:19:50 2010 building initial matrix Tue Apr 13 11:34:29 2010 memory use: 4979.3 MB Tue Apr 13 11:34:43 2010 read 14426822 cycles Tue Apr 13 11:35:00 2010 matrix is 14426644 x 14426822 (4316.1 MB) with weight 1283591254 (88.97/col) Tue Apr 13 11:35:00 2010 sparse part has weight 972754808 (67.43/col) Tue Apr 13 11:40:26 2010 filtering completed in 2 passes Tue Apr 13 11:40:32 2010 matrix is 14426051 x 14426229 (4316.1 MB) with weight 1283576139 (88.98/col) Tue Apr 13 11:40:32 2010 sparse part has weight 972751840 (67.43/col) Tue Apr 13 11:42:54 2010 read 14426229 cycles Tue Apr 13 11:43:11 2010 matrix is 14426051 x 14426229 (4316.1 MB) with weight 1283576139 (88.98/col) Tue Apr 13 11:43:11 2010 sparse part has weight 972751840 (67.43/col) Tue Apr 13 11:43:12 2010 saving the first 48 matrix rows for later Tue Apr 13 11:43:25 2010 matrix is 14426003 x 14426229 (4130.2 MB) with weight 1022586705 (70.88/col) Tue Apr 13 11:43:25 2010 sparse part has weight 938440148 (65.05/col) Tue Apr 13 11:43:25 2010 matrix includes 64 packed rows Tue Apr 13 11:43:25 2010 using block size 65536 for processor cache size 6144 kB Tue Apr 13 11:44:52 2010 commencing Lanczos iteration (8 threads) Tue Apr 13 11:44:52 2010 memory use: 4966.4 MB Tue Apr 13 11:46:44 2010 linear algebra at 0.0%, ETA 546h53m Thu Apr 22 12:31:06 2010 lanczos halted after 89205 iterations (dim = 5640574) Thu Apr 22 12:31:06 2010 BLanczosTime: 782860 Thu Apr 22 12:31:06 2010 Thu Apr 22 12:31:06 2010 commencing square root phase Thu Apr 22 12:31:06 2010 reading relations for dependency 1 Thu Apr 22 12:31:06 2010 error: read_cycles can't open dependency file Thu Apr 22 12:38:18 2010 Thu Apr 22 12:38:19 2010 Thu Apr 22 12:38:19 2010 Msieve v. 1.44 Thu Apr 22 12:38:19 2010 random seeds: f0d11aaa 412b13ca Thu Apr 22 12:38:19 2010 factoring 33222591362126245847176079734219269102990033222591362126245847176079734219269102990033222591362126245847176079734219269102990033222591362126245847176079734219269102990033222591362126245847176079734219269102990033222591362126245847176079734219269103 (248 digits) Thu Apr 22 12:38:22 2010 no P-1/P+1/ECM available, skipping Thu Apr 22 12:38:22 2010 commencing number field sieve (248-digit input) Thu Apr 22 12:38:22 2010 R0: -100000000000000000000000000000000000000000 Thu Apr 22 12:38:22 2010 R1: 1 Thu Apr 22 12:38:22 2010 A0: 3 Thu Apr 22 12:38:22 2010 A1: 0 Thu Apr 22 12:38:22 2010 A2: 0 Thu Apr 22 12:38:22 2010 A3: 0 Thu Apr 22 12:38:22 2010 A4: 0 Thu Apr 22 12:38:22 2010 A5: 0 Thu Apr 22 12:38:22 2010 A6: 10000 Thu Apr 22 12:38:22 2010 skew 0.26, size 2.694593e-12, alpha -1.601825, combined = 2.466062e-13 Thu Apr 22 12:38:22 2010 Thu Apr 22 12:38:22 2010 commencing linear algebra Thu Apr 22 12:38:27 2010 read 14426229 cycles Thu Apr 22 12:39:25 2010 matrix is 14426051 x 14426229 (4316.1 MB) with weight 1283576139 (88.98/col) Thu Apr 22 12:39:25 2010 sparse part has weight 972751840 (67.43/col) Thu Apr 22 12:39:26 2010 saving the first 48 matrix rows for later Thu Apr 22 12:39:40 2010 matrix is 14426003 x 14426229 (4130.2 MB) with weight 1022586705 (70.88/col) Thu Apr 22 12:39:40 2010 sparse part has weight 938440148 (65.05/col) Thu Apr 22 12:39:40 2010 matrix includes 64 packed rows Thu Apr 22 12:39:40 2010 using block size 65536 for processor cache size 6144 kB Thu Apr 22 12:41:14 2010 commencing Lanczos iteration (8 threads) Thu Apr 22 12:41:14 2010 memory use: 4966.4 MB Thu Apr 22 12:41:29 2010 restarting at iteration 89205 (dim = 5640574) Thu Apr 22 12:44:06 2010 linear algebra at 39.1%, ETA 504h46m Thu May 6 13:12:14 2010 lanczos halted after 228132 iterations (dim = 14426001) Thu May 6 13:13:08 2010 recovered 40 nontrivial dependencies Thu May 6 13:13:10 2010 BLanczosTime: 1211688 Thu May 6 13:13:10 2010 elapsed time 336:34:51 Thu May 6 13:14:34 2010 Thu May 6 13:14:34 2010 Thu May 6 13:14:34 2010 Msieve v. 1.44 Thu May 6 13:14:34 2010 random seeds: c952f5c2 2c0374cb Thu May 6 13:14:34 2010 factoring 33222591362126245847176079734219269102990033222591362126245847176079734219269102990033222591362126245847176079734219269102990033222591362126245847176079734219269102990033222591362126245847176079734219269102990033222591362126245847176079734219269103 (248 digits) Thu May 6 13:14:37 2010 no P-1/P+1/ECM available, skipping Thu May 6 13:14:37 2010 commencing number field sieve (248-digit input) Thu May 6 13:14:37 2010 R0: -100000000000000000000000000000000000000000 Thu May 6 13:14:37 2010 R1: 1 Thu May 6 13:14:37 2010 A0: 3 Thu May 6 13:14:37 2010 A1: 0 Thu May 6 13:14:37 2010 A2: 0 Thu May 6 13:14:37 2010 A3: 0 Thu May 6 13:14:37 2010 A4: 0 Thu May 6 13:14:37 2010 A5: 0 Thu May 6 13:14:37 2010 A6: 10000 Thu May 6 13:14:37 2010 skew 0.26, size 2.694593e-12, alpha -1.601825, combined = 2.466062e-13 Thu May 6 13:14:37 2010 Thu May 6 13:14:37 2010 commencing square root phase Thu May 6 13:14:37 2010 reading relations for dependency 1 Thu May 6 13:14:44 2010 read 7213370 cycles Thu May 6 13:15:03 2010 cycles contain 18624738 unique relations Thu May 6 13:22:52 2010 read 18624738 relations Thu May 6 13:25:34 2010 multiplying 18624738 relations Thu May 6 14:11:13 2010 multiply complete, coefficients have about 705.32 million bits Thu May 6 14:11:18 2010 warning: no irreducible prime found, switching to small primes Thu May 6 14:11:19 2010 initial square root is modulo 53 Thu May 6 15:46:26 2010 reading relations for dependency 2 Thu May 6 15:46:33 2010 read 7211085 cycles Thu May 6 15:46:53 2010 cycles contain 18622184 unique relations Thu May 6 15:53:51 2010 read 18622184 relations Thu May 6 15:56:34 2010 multiplying 18622184 relations Thu May 6 16:42:22 2010 multiply complete, coefficients have about 705.22 million bits Thu May 6 16:42:28 2010 warning: no irreducible prime found, switching to small primes Thu May 6 16:42:29 2010 initial square root is modulo 53 Thu May 6 18:17:28 2010 Newton iteration failed to converge Thu May 6 18:17:28 2010 algebraic square root failed Thu May 6 18:17:28 2010 reading relations for dependency 3 Thu May 6 18:17:34 2010 read 7211751 cycles Thu May 6 18:17:54 2010 cycles contain 18622252 unique relations Thu May 6 18:22:11 2010 read 18622252 relations Thu May 6 18:24:54 2010 multiplying 18622252 relations Thu May 6 19:10:44 2010 multiply complete, coefficients have about 705.23 million bits Thu May 6 19:10:50 2010 warning: no irreducible prime found, switching to small primes Thu May 6 19:10:51 2010 initial square root is modulo 53 Thu May 6 20:45:50 2010 reading relations for dependency 4 Thu May 6 20:45:53 2010 read 7214465 cycles Thu May 6 20:46:13 2010 cycles contain 18628496 unique relations Thu May 6 20:50:34 2010 read 18628496 relations Thu May 6 20:53:17 2010 multiplying 18628496 relations Thu May 6 21:39:03 2010 multiply complete, coefficients have about 705.46 million bits Thu May 6 21:39:09 2010 warning: no irreducible prime found, switching to small primes Thu May 6 21:39:10 2010 initial square root is modulo 53 Thu May 6 23:14:06 2010 reading relations for dependency 5 Thu May 6 23:14:09 2010 read 7214524 cycles Thu May 6 23:14:29 2010 cycles contain 18628714 unique relations Thu May 6 23:18:50 2010 read 18628714 relations Thu May 6 23:21:32 2010 multiplying 18628714 relations Fri May 7 00:07:18 2010 multiply complete, coefficients have about 705.47 million bits Fri May 7 00:07:23 2010 warning: no irreducible prime found, switching to small primes Fri May 7 00:07:24 2010 initial square root is modulo 53 Fri May 7 01:42:21 2010 Newton iteration failed to converge Fri May 7 01:42:21 2010 algebraic square root failed Fri May 7 01:42:21 2010 reading relations for dependency 6 Fri May 7 01:42:24 2010 read 7213127 cycles Fri May 7 01:42:43 2010 cycles contain 18623888 unique relations Fri May 7 01:47:04 2010 read 18623888 relations Fri May 7 01:49:46 2010 multiplying 18623888 relations Fri May 7 02:35:31 2010 multiply complete, coefficients have about 705.29 million bits Fri May 7 02:35:36 2010 warning: no irreducible prime found, switching to small primes Fri May 7 02:35:37 2010 initial square root is modulo 53 Fri May 7 04:10:38 2010 Newton iteration failed to converge Fri May 7 04:10:38 2010 algebraic square root failed Fri May 7 04:10:38 2010 reading relations for dependency 7 Fri May 7 04:10:41 2010 read 7212491 cycles Fri May 7 04:11:00 2010 cycles contain 18630006 unique relations Fri May 7 04:15:46 2010 read 18630006 relations Fri May 7 04:18:29 2010 multiplying 18630006 relations Fri May 7 05:04:19 2010 multiply complete, coefficients have about 705.52 million bits Fri May 7 05:04:24 2010 warning: no irreducible prime found, switching to small primes Fri May 7 05:04:25 2010 initial square root is modulo 53 Fri May 7 06:39:28 2010 Newton iteration failed to converge Fri May 7 06:39:28 2010 algebraic square root failed Fri May 7 06:39:28 2010 reading relations for dependency 8 Fri May 7 06:39:31 2010 read 7212433 cycles Fri May 7 06:39:51 2010 cycles contain 18623382 unique relations Fri May 7 06:44:22 2010 read 18623382 relations Fri May 7 06:47:04 2010 multiplying 18623382 relations Fri May 7 07:32:52 2010 multiply complete, coefficients have about 705.26 million bits Fri May 7 07:32:58 2010 warning: no irreducible prime found, switching to small primes Fri May 7 07:32:59 2010 initial square root is modulo 53 Fri May 7 09:07:52 2010 Newton iteration failed to converge Fri May 7 09:07:52 2010 algebraic square root failed Fri May 7 09:07:52 2010 reading relations for dependency 9 Fri May 7 09:07:55 2010 read 7214109 cycles Fri May 7 09:08:14 2010 cycles contain 18627778 unique relations Fri May 7 09:12:42 2010 read 18627778 relations Fri May 7 09:15:25 2010 multiplying 18627778 relations Fri May 7 10:01:06 2010 multiply complete, coefficients have about 705.43 million bits Fri May 7 10:01:12 2010 warning: no irreducible prime found, switching to small primes Fri May 7 10:01:13 2010 initial square root is modulo 53 Fri May 7 11:36:03 2010 Newton iteration failed to converge Fri May 7 11:36:04 2010 algebraic square root failed Fri May 7 11:36:04 2010 reading relations for dependency 10 Fri May 7 11:36:07 2010 read 7208907 cycles Fri May 7 11:36:26 2010 cycles contain 18619968 unique relations Fri May 7 11:40:59 2010 read 18619968 relations Fri May 7 11:43:41 2010 multiplying 18619968 relations Fri May 7 12:29:37 2010 multiply complete, coefficients have about 705.13 million bits Fri May 7 12:29:42 2010 warning: no irreducible prime found, switching to small primes Fri May 7 12:29:43 2010 initial square root is modulo 53 Fri May 7 14:04:48 2010 Newton iteration failed to converge Fri May 7 14:04:49 2010 algebraic square root failed Fri May 7 14:04:49 2010 reading relations for dependency 11 Fri May 7 14:04:52 2010 read 7215389 cycles Fri May 7 14:05:11 2010 cycles contain 18628254 unique relations Fri May 7 14:10:28 2010 read 18628254 relations Fri May 7 14:13:11 2010 multiplying 18628254 relations Fri May 7 14:58:57 2010 multiply complete, coefficients have about 705.45 million bits Fri May 7 14:59:03 2010 warning: no irreducible prime found, switching to small primes Fri May 7 14:59:04 2010 initial square root is modulo 53 Fri May 7 16:34:15 2010 Newton iteration failed to converge Fri May 7 16:34:15 2010 algebraic square root failed Fri May 7 16:34:15 2010 reading relations for dependency 12 Fri May 7 16:34:23 2010 read 7214977 cycles Fri May 7 16:34:43 2010 cycles contain 18628850 unique relations Fri May 7 16:41:21 2010 read 18628850 relations Fri May 7 16:44:04 2010 multiplying 18628850 relations Fri May 7 17:29:53 2010 multiply complete, coefficients have about 705.47 million bits Fri May 7 17:29:59 2010 warning: no irreducible prime found, switching to small primes Fri May 7 17:30:00 2010 initial square root is modulo 53 Fri May 7 19:04:58 2010 Newton iteration failed to converge Fri May 7 19:04:59 2010 algebraic square root failed Fri May 7 19:04:59 2010 reading relations for dependency 13 Fri May 7 19:05:06 2010 read 7214824 cycles Fri May 7 19:05:26 2010 cycles contain 18629900 unique relations Fri May 7 19:09:52 2010 read 18629900 relations Fri May 7 19:12:35 2010 multiplying 18629900 relations Fri May 7 19:58:28 2010 multiply complete, coefficients have about 705.51 million bits Fri May 7 19:58:33 2010 warning: no irreducible prime found, switching to small primes Fri May 7 19:58:34 2010 initial square root is modulo 53 Fri May 7 21:33:39 2010 sqrtTime: 116342 Fri May 7 21:33:39 2010 prp46 factor: 1012809912772949923378144696975861902413702431 Fri May 7 21:33:39 2010 prp52 factor: 1774117486132956141457234973491829250427156975510339 Fri May 7 21:33:39 2010 prp71 factor: 48125349750791910686580777709024796929599190379104252235040093941183527 Fri May 7 21:33:39 2010 prp81 factor: 384192856833907847524586566390613365418318013593453279573413992127914439985524621 Fri May 7 21:33:39 2010 elapsed time 32:19:05 |
software ソフトウェア | ggnfs-lasieve4I14e on the RSALS grid + msieve |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | December 15, 2008 05:00:00 UTC 2008 年 12 月 15 日 (月) 14 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 1010 | 200 | Serge Batalov | December 16, 2008 02:07:18 UTC 2008 年 12 月 16 日 (火) 11 時 7 分 18 秒 (日本時間) |
60 | Serge Batalov | December 16, 2008 02:10:57 UTC 2008 年 12 月 16 日 (火) 11 時 10 分 57 秒 (日本時間) | |||
750 | Serge Batalov | December 19, 2008 06:32:19 UTC 2008 年 12 月 19 日 (金) 15 時 32 分 19 秒 (日本時間) | |||
45 | 11e6 | 2280 | 20 | Serge Batalov | December 16, 2008 02:07:18 UTC 2008 年 12 月 16 日 (火) 11 時 7 分 18 秒 (日本時間) |
60 | Serge Batalov | December 19, 2008 06:32:19 UTC 2008 年 12 月 19 日 (金) 15 時 32 分 19 秒 (日本時間) | |||
2200 | Serge Batalov | December 30, 2008 22:49:03 UTC 2008 年 12 月 31 日 (水) 7 時 49 分 3 秒 (日本時間) | |||
50 | 43e6 | 1010 / 7003 | yoyo@home | January 14, 2010 02:45:46 UTC 2010 年 1 月 14 日 (木) 11 時 45 分 46 秒 (日本時間) |
name 名前 | Daniel Morel |
---|---|
date 日付 | June 1, 2023 19:52:19 UTC 2023 年 6 月 2 日 (金) 4 時 52 分 19 秒 (日本時間) |
composite number 合成数 | 680292050193498529150762657389732601073319897519989208391149370494132375621813295193802653711801660907189449519305977479299036051335681669743638947892697072324385345418050383531310451814536522706641788567802303810388564383155966116040775644233<243> |
prime factors 素因数 | 20760168946860233529702113562874947266000631409669635443259903977<65> 302942258250642518871762185905274913469773151622410648348363098207877<69> 108169458070374855491959196780567097740102297211714720352145395214608966373198701345674357901343034195384389677<111> |
factorization results 素因数分解の結果 | Polynomial: X^6 + 30 ; m = 10^42 ; skew = 3.2 rlim = alim = 87000000 lpbr = lpba = 29 mfbr = mfba = 58 rlambda = alambda = 2.8 qintsize = 100000 Matrix: 11575324 x 11575501 time: 1047 days or so p65 = 20760168946860233529702113562874947266000631409669635443259903977 p69 = 302942258250642518871762185905274913469773151622410648348363098207877 p111 = 108169458070374855491959196780567097740102297211714720352145395214608966373198701345674357901343034195384389677 |
software ソフトウェア | GGNFS-0.77.1 (relations) and MSieve 1.52 (matrix) |
execution environment 実行環境 | Windows 10 (40 * Intel Core I5 3.5 GHz) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 960 | Youcef Lemsafer | December 22, 2015 06:52:02 UTC 2015 年 12 月 22 日 (火) 15 時 52 分 2 秒 (日本時間) | |
40 | 3e6 | 2412 | Youcef Lemsafer | December 22, 2015 06:52:02 UTC 2015 年 12 月 22 日 (火) 15 時 52 分 2 秒 (日本時間) | |
45 | 11e6 | 2048 | 1452 | Youcef Lemsafer | December 22, 2015 06:52:02 UTC 2015 年 12 月 22 日 (火) 15 時 52 分 2 秒 (日本時間) |
512 | Youcef Lemsafer | December 29, 2015 14:08:17 UTC 2015 年 12 月 29 日 (火) 23 時 8 分 17 秒 (日本時間) | |||
84 | Youcef Lemsafer | February 1, 2016 16:13:55 UTC 2016 年 2 月 2 日 (火) 1 時 13 分 55 秒 (日本時間) | |||
50 | 43e6 | 3576 / 6997 | 576 | Youcef Lemsafer | February 3, 2016 13:05:28 UTC 2016 年 2 月 3 日 (水) 22 時 5 分 28 秒 (日本時間) |
1000 | Florian Baur | June 11, 2022 11:00:14 UTC 2022 年 6 月 11 日 (土) 20 時 0 分 14 秒 (日本時間) | |||
1000 | Florian Baur | June 11, 2022 15:35:15 UTC 2022 年 6 月 12 日 (日) 0 時 35 分 15 秒 (日本時間) | |||
1000 | Florian Baur | June 12, 2022 05:08:13 UTC 2022 年 6 月 12 日 (日) 14 時 8 分 13 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 960 | Youcef Lemsafer | December 22, 2015 10:08:23 UTC 2015 年 12 月 22 日 (火) 19 時 8 分 23 秒 (日本時間) | |
40 | 3e6 | 2200 | Youcef Lemsafer | December 30, 2015 09:38:44 UTC 2015 年 12 月 30 日 (水) 18 時 38 分 44 秒 (日本時間) | |
45 | 11e6 | 2048 | 512 | Youcef Lemsafer | December 30, 2015 09:38:44 UTC 2015 年 12 月 30 日 (水) 18 時 38 分 44 秒 (日本時間) |
1536 | Youcef Lemsafer | February 4, 2016 13:37:05 UTC 2016 年 2 月 4 日 (木) 22 時 37 分 5 秒 (日本時間) | |||
50 | 43e6 | 576 / 7005 | Youcef Lemsafer | February 6, 2016 09:44:46 UTC 2016 年 2 月 6 日 (土) 18 時 44 分 46 秒 (日本時間) |
name 名前 | Thomas Kozlowski |
---|---|
date 日付 | October 6, 2024 02:05:12 UTC 2024 年 10 月 6 日 (日) 11 時 5 分 12 秒 (日本時間) |
composite number 合成数 | 382612167635517375290027116434563796894090795070102782576343347112301857566215186739002493888506400475503665384232360802092069075355673983718305646773231361417492839123133482107532803128769138265849<198> |
prime factors 素因数 | 68260727528888621892447640410332197608478998197733481<53> 5605158067991468201337573913589607826027281825774276530186924008244618487731341514738350310652046391047741345044007200372386129864544240324902929<145> |
factorization results 素因数分解の結果 | GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM] Input number is 382612167635517375290027116434563796894090795070102782576343347112301857566215186739002493888506400475503665384232360802092069075355673983718305646773231361417492839123133482107532803128769138265849 (198 digits) Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=1:2317378456 Step 1 took 412565ms Step 2 took 125578ms Run 2 out of 0: Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=1:3799785059 Step 1 took 497389ms Step 2 took 141486ms Run 3 out of 0: ... Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=1:3513075154 Step 1 took 437460ms Step 2 took 123055ms Run 27 out of 0: Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=1:3643894099 Step 1 took 411135ms Step 2 took 2252ms ** Factor found in step 2: 68260727528888621892447640410332197608478998197733481 Found prime factor of 53 digits: 68260727528888621892447640410332197608478998197733481 Prime cofactor 5605158067991468201337573913589607826027281825774276530186924008244618487731341514738350310652046391047741345044007200372386129864544240324902929 has 145 digits |
execution environment 実行環境 | 4x Xeon E7-8890v4, 1024GB DDR4, Ubuntu Server 24.04 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 960 | Youcef Lemsafer | December 22, 2015 10:10:11 UTC 2015 年 12 月 22 日 (火) 19 時 10 分 11 秒 (日本時間) | |
40 | 3e6 | 2200 | Youcef Lemsafer | December 30, 2015 09:41:10 UTC 2015 年 12 月 30 日 (水) 18 時 41 分 10 秒 (日本時間) | |
45 | 11e6 | 2048 | 512 | Youcef Lemsafer | December 30, 2015 22:04:13 UTC 2015 年 12 月 31 日 (木) 7 時 4 分 13 秒 (日本時間) |
1536 | Youcef Lemsafer | February 7, 2016 12:40:03 UTC 2016 年 2 月 7 日 (日) 21 時 40 分 3 秒 (日本時間) | |||
50 | 43e6 | 7392 | 768 | Youcef Lemsafer | February 8, 2016 09:36:18 UTC 2016 年 2 月 8 日 (月) 18 時 36 分 18 秒 (日本時間) |
6624 | Thomas Kozlowski | October 5, 2024 06:53:11 UTC 2024 年 10 月 5 日 (土) 15 時 53 分 11 秒 (日本時間) |
name 名前 | Youcef Lemsafer |
---|---|
date 日付 | December 22, 2015 10:14:58 UTC 2015 年 12 月 22 日 (火) 19 時 14 分 58 秒 (日本時間) |
composite number 合成数 | 3618136321346901929756430720503423701662345891768041737311868442005837242543976848620948349142099049549794156224149041144327763520588570510183921749779649076746245951793014108373920624606064619237158747404696160424071727222481588169679731779<241> |
prime factors 素因数 | 643447302419858875572567213797395987<36> 5623049949451827059943450818634076603012266779725640933452028883416080829651857497824466143747445900901257205285418534645844788320104752869642739922070566069771185629094574183607489927842362720727452000017<205> |
factorization results 素因数分解の結果 | GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM] Input number is (10^256+3)/(7*157*9181*273922303) (241 digits) [Mon Dec 21 18:58:35 2015] Using MODMULN [mulredc:0, sqrredc:1] Using B1=1000000, B2=1000000-1045563762, polynomial Dickson(6), sigma=2419869898 dF=4096, k=6, d=39270, d2=13, i0=13 Expected number of curves to find a factor of n digits: 35 40 45 50 55 60 65 70 75 80 910 8615 97096 1281819 1.9e+007 3.1e+008 6.2e+009 1.7e+011 2.3e+016 3.1e+021 Step 1 took 8688ms Using 29 small primes for NTT Estimated memory usage: 19M Initializing tables of differences for F took 31ms Computing roots of F took 188ms Building F from its roots took 218ms Computing 1/F took 157ms Initializing table of differences for G took 15ms Computing roots of G took 125ms Building G from its roots took 250ms Computing roots of G took 141ms Building G from its roots took 250ms Computing G * H took 62ms Reducing G * H mod F took 94ms Computing roots of G took 125ms Building G from its roots took 250ms Computing G * H took 63ms Reducing G * H mod F took 93ms Computing roots of G took 125ms Building G from its roots took 250ms Computing G * H took 63ms Reducing G * H mod F took 78ms Computing roots of G took 141ms Building G from its roots took 281ms Computing G * H took 78ms Reducing G * H mod F took 78ms Computing roots of G took 156ms Building G from its roots took 250ms Computing G * H took 78ms Reducing G * H mod F took 94ms Computing polyeval(F,G) took 469ms Computing product of all F(g_i) took 0ms Step 2 took 4219ms ********** Factor found in step 2: 643447302419858875572567213797395987 Found probable prime factor of 36 digits: 643447302419858875572567213797395987 Probable prime cofactor ((10^256+3)/(7*157*9181*273922303))/643447302419858875572567213797395987 has 205 digits |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 737 / 825 | Youcef Lemsafer | December 22, 2015 10:11:46 UTC 2015 年 12 月 22 日 (火) 19 時 11 分 46 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 960 | Youcef Lemsafer | December 22, 2015 10:15:58 UTC 2015 年 12 月 22 日 (火) 19 時 15 分 58 秒 (日本時間) | |
40 | 3e6 | 2200 | Youcef Lemsafer | December 31, 2015 11:15:41 UTC 2015 年 12 月 31 日 (木) 20 時 15 分 41 秒 (日本時間) | |
45 | 11e6 | 2048 | 512 | Youcef Lemsafer | January 1, 2016 09:55:28 UTC 2016 年 1 月 1 日 (金) 18 時 55 分 28 秒 (日本時間) |
1536 | Youcef Lemsafer | February 13, 2016 14:41:07 UTC 2016 年 2 月 13 日 (土) 23 時 41 分 7 秒 (日本時間) | |||
50 | 43e6 | 7201 | 576 | Youcef Lemsafer | February 13, 2016 14:41:07 UTC 2016 年 2 月 13 日 (土) 23 時 41 分 7 秒 (日本時間) |
6625 | Thomas Kozlowski | October 5, 2024 14:49:11 UTC 2024 年 10 月 5 日 (土) 23 時 49 分 11 秒 (日本時間) | |||
55 | 11e7 | 16224 | Thomas Kozlowski | October 8, 2024 03:38:05 UTC 2024 年 10 月 8 日 (火) 12 時 38 分 5 秒 (日本時間) |
name 名前 | Youcef Lemsafer |
---|---|
date 日付 | February 14, 2016 08:22:32 UTC 2016 年 2 月 14 日 (日) 17 時 22 分 32 秒 (日本時間) |
composite number 合成数 | 24003574441911777229899263746455221930645486071006830835240079065919352002759897015127791699045969748637080934707933135849994724755974826641444056405382069969665544265302845116455818851479861689854775356987824642973<215> |
prime factors 素因数 | 1183339045082885556179932515298411150825468742839<49> 20284612885591445864090786380506126099278106029180177481441728621668554107644537153398708903682941558636750339098828897978046124483776561468345506156151912943438392907<167> |
factorization results 素因数分解の結果 | GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM] Input number is (10^258+3)/(151*1407252774691*196053689892084338357335001971) (215 digits) [Sun Feb 14 03:14:50 2016] Using MODMULN [mulredc:0, sqrredc:1] Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4013136904 dF=32768, k=3, d=324870, d2=11, i0=23 Expected number of curves to find a factor of n digits: 35 40 45 50 55 60 65 70 75 80 122 686 4482 33676 284176 2657998 2.7e+007 3e+008 3.7e+009 4.4e+010 Step 1 took 133428ms Using 26 small primes for NTT Estimated memory usage: 144M Initializing tables of differences for F took 141ms Computing roots of F took 3650ms Building F from its roots took 3338ms Computing 1/F took 1528ms Initializing table of differences for G took 94ms Computing roots of G took 2933ms Building G from its roots took 3759ms Computing roots of G took 2964ms Building G from its roots took 3760ms Computing G * H took 764ms Reducing G * H mod F took 889ms Computing roots of G took 2886ms Building G from its roots took 3713ms Computing G * H took 780ms Reducing G * H mod F took 873ms Computing polyeval(F,G) took 6474ms Computing product of all F(g_i) took 32ms Step 2 took 38750ms ********** Factor found in step 2: 1183339045082885556179932515298411150825468742839 Found probable prime factor of 49 digits: 1183339045082885556179932515298411150825468742839 Probable prime cofactor ((10^258+3)/(151*1407252774691*196053689892084338357335001971))/1183339045082885556179932515298411150825468742839 has 167 digits |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 960 | Youcef Lemsafer | December 22, 2015 10:16:44 UTC 2015 年 12 月 22 日 (火) 19 時 16 分 44 秒 (日本時間) | |
40 | 3e6 | 2200 | Youcef Lemsafer | January 1, 2016 09:56:56 UTC 2016 年 1 月 1 日 (金) 18 時 56 分 56 秒 (日本時間) | |
45 | 11e6 | 2048 / 3948 | 512 | Youcef Lemsafer | January 1, 2016 09:56:56 UTC 2016 年 1 月 1 日 (金) 18 時 56 分 56 秒 (日本時間) |
1536 | Youcef Lemsafer | February 14, 2016 08:20:48 UTC 2016 年 2 月 14 日 (日) 17 時 20 分 48 秒 (日本時間) |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | October 29, 2015 13:11:05 UTC 2015 年 10 月 29 日 (木) 22 時 11 分 5 秒 (日本時間) |
composite number 合成数 | 45248868778280542986425339366515837104072398190045248868778280542986425339366515837104072398190045248868778280542986425339366515837104072398190045248868778280542986425339366515837104072398190045248868778280542986425339366515837104072398190045248868778280543<257> |
prime factors 素因数 | 7764826514902953002768120527781<31> 21906548257883318866971762521107<32> 321207791952386166404336509458436697<36> |
composite cofactor 合成数の残り | 828163231133673236346825594963792275545427350340522915540003003624132756920651935001214789998928390364771803186658583421552850340478985336906625864097220006857<159> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=735754472 Step 1 took 55859ms Step 2 took 17334ms ********** Factor found in step 2: 7764826514902953002768120527781 Found probable prime factor of 31 digits: 7764826514902953002768120527781 Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=61034328 Step 1 took 38936ms Step 2 took 11101ms ********** Factor found in step 2: 321207791952386166404336509458436697 Found probable prime factor of 36 digits: 321207791952386166404336509458436697 Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3659521199 Step 1 took 30488ms Step 2 took 11385ms ********** Factor found in step 2: 21906548257883318866971762521107 Found probable prime factor of 32 digits: 21906548257883318866971762521107 |
name 名前 | Youcef Lemsafer |
---|---|
date 日付 | December 22, 2015 13:05:51 UTC 2015 年 12 月 22 日 (火) 22 時 5 分 51 秒 (日本時間) |
composite number 合成数 | 828163231133673236346825594963792275545427350340522915540003003624132756920651935001214789998928390364771803186658583421552850340478985336906625864097220006857<159> |
prime factors 素因数 | 14261310922242533259898935119175189199<38> 1146259849470101303306954506546214501099<40> 50660960082597830822667625660349574999084364894672383447343618772783848931297683957<83> |
factorization results 素因数分解の結果 | GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM] Input number is (10^259+3)/(13*17*7764826514902953002768120527781*21906548257883318866971762521107*321207791952386166404336509458436697) (159 digits) [Tue Dec 22 00:23:39 2015] Using MODMULN [mulredc:0, sqrredc:2] Using B1=11000000, B2=11000000-35133391030, polynomial Dickson(12), sigma=4097678365 dF=32768, k=3, d=324870, d2=11, i0=23 Expected number of curves to find a factor of n digits: 35 40 45 50 55 60 65 70 75 80 122 686 4482 33676 284176 2657998 2.7e+007 3e+008 3.7e+009 4.4e+010 Step 1 took 56547ms Using 20 small primes for NTT Estimated memory usage: 113M Initializing tables of differences for F took 47ms Computing roots of F took 1828ms Building F from its roots took 1937ms Computing 1/F took 844ms Initializing table of differences for G took 47ms Computing roots of G took 1515ms Building G from its roots took 2188ms Computing roots of G took 1688ms Building G from its roots took 2109ms Computing G * H took 485ms Reducing G * H mod F took 547ms Computing roots of G took 1546ms Building G from its roots took 2094ms Computing G * H took 484ms Reducing G * H mod F took 531ms Computing polyeval(F,G) took 3610ms Computing product of all F(g_i) took 15ms Step 2 took 21688ms ********** Factor found in step 2: 1146259849470101303306954506546214501099 Found probable prime factor of 40 digits: 1146259849470101303306954506546214501099 Composite cofactor ((10^259+3)/(13*17*7764826514902953002768120527781*21906548257883318866971762521107*321207791952386166404336509458436697))/1146259849470101303306954506546214501099 has 120 digits GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM] Input number is (10^259+3)/(13*17*7764826514902953002768120527781*21906548257883318866971762521107*321207791952386166404336509458436697*1146259849470101303306954506546214501099) (120 digits) [Tue Dec 22 13:40:21 2015] Using MODMULN [mulredc:0, sqrredc:2] Using B1=20000000, B2=20000000-70272304840, polynomial Dickson(12), sigma=871191811 dF=32768, k=6, d=324870, d2=11, i0=51 Expected number of curves to find a factor of n digits: 35 40 45 50 55 60 65 70 75 80 85 434 2577 17294 129874 1085294 9846090 9.6e+007 1.1e+009 1.2e+010 Step 1 took 95332ms Using 16 small primes for NTT Estimated memory usage: 91M Initializing tables of differences for F took 46ms Computing roots of F took 2013ms Building F from its roots took 1888ms Computing 1/F took 796ms Initializing table of differences for G took 62ms Computing roots of G took 1638ms Building G from its roots took 2012ms Computing roots of G took 1685ms Building G from its roots took 1981ms Computing G * H took 453ms Reducing G * H mod F took 405ms Computing roots of G took 1716ms Building G from its roots took 1997ms Computing G * H took 468ms Reducing G * H mod F took 484ms Computing roots of G took 1653ms Building G from its roots took 1919ms Computing G * H took 452ms Reducing G * H mod F took 468ms Computing roots of G took 1654ms Building G from its roots took 1918ms Computing G * H took 421ms Reducing G * H mod F took 468ms Computing roots of G took 1732ms Building G from its roots took 2043ms Computing G * H took 437ms Reducing G * H mod F took 483ms Computing polyeval(F,G) took 3479ms Computing product of all F(g_i) took 31ms Step 2 took 34991ms ********** Factor found in step 2: 14261310922242533259898935119175189199 Found probable prime factor of 38 digits: 14261310922242533259898935119175189199 Probable prime cofactor ((10^259+3)/(13*17*7764826514902953002768120527781*21906548257883318866971762521107*321207791952386166404336509458436697*1146259849470101303306954506546214501099))/14261310922242533259898935119175189199 has 83 digits |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 2950 | 600 | Dmitry Domanov | October 29, 2015 07:32:46 UTC 2015 年 10 月 29 日 (木) 16 時 32 分 46 秒 (日本時間) |
2350 | Ignacio Santos | November 5, 2015 15:57:39 UTC 2015 年 11 月 6 日 (金) 0 時 57 分 39 秒 (日本時間) | |||
45 | 11e6 | 256 / 3827 | Youcef Lemsafer | December 22, 2015 13:04:40 UTC 2015 年 12 月 22 日 (火) 22 時 4 分 40 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 960 | Youcef Lemsafer | December 22, 2015 10:19:58 UTC 2015 年 12 月 22 日 (火) 19 時 19 分 58 秒 (日本時間) | |
40 | 3e6 | 2200 | Youcef Lemsafer | January 2, 2016 12:35:53 UTC 2016 年 1 月 2 日 (土) 21 時 35 分 53 秒 (日本時間) | |
45 | 11e6 | 2048 | 512 | Youcef Lemsafer | January 2, 2016 12:35:53 UTC 2016 年 1 月 2 日 (土) 21 時 35 分 53 秒 (日本時間) |
1536 | Youcef Lemsafer | February 16, 2016 10:08:35 UTC 2016 年 2 月 16 日 (火) 19 時 8 分 35 秒 (日本時間) | |||
50 | 43e6 | 576 / 7005 | Youcef Lemsafer | February 18, 2016 06:40:57 UTC 2016 年 2 月 18 日 (木) 15 時 40 分 57 秒 (日本時間) |
name 名前 | Youcef Lemsafer |
---|---|
date 日付 | December 22, 2015 10:23:38 UTC 2015 年 12 月 22 日 (火) 19 時 23 分 38 秒 (日本時間) |
composite number 合成数 | 5094970582436136438930249012840363118149047067973665400589615690935513009254536458735839191606034030362562031151846336485782486869260392010790598476110072927231207392561858952354274790345291652669494751983679543513278513516365227630194998730721147<247> |
prime factors 素因数 | 167717353163258367596380103026684987<36> 30378314982568454467245658543887935652763280013888567981728194223400079166345223093112013205669024099978419479466016843441669411886785799026582868179580926257220667235773265935576926908840479840092310418455135681<212> |
factorization results 素因数分解の結果 | GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM] Input number is (10^261+3)/(196271987015449) (247 digits) [Tue Dec 22 05:02:37 2015] Using MODMULN [mulredc:0, sqrredc:1] Using B1=1000000, B2=1000000-1045563762, polynomial Dickson(6), sigma=996451449 dF=4096, k=6, d=39270, d2=13, i0=13 Expected number of curves to find a factor of n digits: 35 40 45 50 55 60 65 70 75 80 910 8615 97096 1281819 1.9e+007 3.1e+008 6.2e+009 1.7e+011 2.3e+016 3.1e+021 Step 1 took 8281ms Using 29 small primes for NTT Estimated memory usage: 19M Initializing tables of differences for F took 32ms Computing roots of F took 156ms Building F from its roots took 219ms Computing 1/F took 140ms Initializing table of differences for G took 16ms Computing roots of G took 141ms Building G from its roots took 250ms Computing roots of G took 140ms Building G from its roots took 250ms Computing G * H took 78ms Reducing G * H mod F took 94ms Computing roots of G took 125ms Building G from its roots took 250ms Computing G * H took 78ms Reducing G * H mod F took 78ms Computing roots of G took 141ms Building G from its roots took 250ms Computing G * H took 62ms Reducing G * H mod F took 94ms Computing roots of G took 125ms Building G from its roots took 250ms Computing G * H took 63ms Reducing G * H mod F took 94ms Computing roots of G took 140ms Building G from its roots took 235ms Computing G * H took 62ms Reducing G * H mod F took 94ms Computing polyeval(F,G) took 469ms Computing product of all F(g_i) took 0ms Step 2 took 4157ms ********** Factor found in step 2: 167717353163258367596380103026684987 Found probable prime factor of 36 digits: 167717353163258367596380103026684987 Probable prime cofactor ((10^261+3)/(196271987015449))/167717353163258367596380103026684987 has 212 digits |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 724 / 825 | Youcef Lemsafer | December 22, 2015 10:21:34 UTC 2015 年 12 月 22 日 (火) 19 時 21 分 34 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 960 | Youcef Lemsafer | December 22, 2015 10:24:46 UTC 2015 年 12 月 22 日 (火) 19 時 24 分 46 秒 (日本時間) | |
40 | 3e6 | 2200 | Youcef Lemsafer | January 3, 2016 14:49:10 UTC 2016 年 1 月 3 日 (日) 23 時 49 分 10 秒 (日本時間) | |
45 | 11e6 | 2048 | 512 | Youcef Lemsafer | January 3, 2016 14:49:10 UTC 2016 年 1 月 3 日 (日) 23 時 49 分 10 秒 (日本時間) |
1536 | Youcef Lemsafer | February 18, 2016 06:42:58 UTC 2016 年 2 月 18 日 (木) 15 時 42 分 58 秒 (日本時間) | |||
50 | 43e6 | 576 / 7005 | Youcef Lemsafer | February 18, 2016 10:24:59 UTC 2016 年 2 月 18 日 (木) 19 時 24 分 59 秒 (日本時間) |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | October 29, 2015 13:41:36 UTC 2015 年 10 月 29 日 (木) 22 時 41 分 36 秒 (日本時間) |
composite number 合成数 | 35473572188719404043987229514012061014544164597374955658034764100744945015963107484923731819794253281305427456544874068818730046115643845335225257183398368215679318907413976587442355445193330968428520752039730400851365732529265697055693508336289464349059950337<260> |
prime factors 素因数 | 368553932609751438291089707530126287<36> |
composite cofactor 合成数の残り | 96250695081528540798495911429413275464463572375908501379360582490526984056497185020345586534745619997115135798286073022422784359138089694463053621682763830372012643360167832551100621487323807317657952066150171524129420463151<224> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=278783046 Step 1 took 46468ms Step 2 took 14153ms ********** Factor found in step 2: 368553932609751438291089707530126287 Found probable prime factor of 36 digits: 368553932609751438291089707530126287 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 2400 | 600 | Dmitry Domanov | October 29, 2015 07:34:15 UTC 2015 年 10 月 29 日 (木) 16 時 34 分 15 秒 (日本時間) |
1800 | Youcef Lemsafer | January 3, 2016 14:51:04 UTC 2016 年 1 月 3 日 (日) 23 時 51 分 4 秒 (日本時間) | |||
45 | 11e6 | 3584 | 512 | Youcef Lemsafer | January 4, 2016 09:43:24 UTC 2016 年 1 月 4 日 (月) 18 時 43 分 24 秒 (日本時間) |
3072 | Youcef Lemsafer | February 19, 2016 09:31:49 UTC 2016 年 2 月 19 日 (金) 18 時 31 分 49 秒 (日本時間) | |||
50 | 43e6 | 576 / 6658 | Youcef Lemsafer | February 19, 2016 09:31:49 UTC 2016 年 2 月 19 日 (金) 18 時 31 分 49 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 960 | Youcef Lemsafer | December 22, 2015 10:26:23 UTC 2015 年 12 月 22 日 (火) 19 時 26 分 23 秒 (日本時間) | |
40 | 3e6 | 2200 | Youcef Lemsafer | January 4, 2016 09:44:39 UTC 2016 年 1 月 4 日 (月) 18 時 44 分 39 秒 (日本時間) | |
45 | 11e6 | 3584 | 512 | Youcef Lemsafer | January 4, 2016 09:44:39 UTC 2016 年 1 月 4 日 (月) 18 時 44 分 39 秒 (日本時間) |
3072 | Youcef Lemsafer | February 20, 2016 15:42:13 UTC 2016 年 2 月 21 日 (日) 0 時 42 分 13 秒 (日本時間) | |||
50 | 43e6 | 576 / 6660 | Youcef Lemsafer | February 20, 2016 15:42:13 UTC 2016 年 2 月 21 日 (日) 0 時 42 分 13 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 960 | Youcef Lemsafer | December 22, 2015 13:12:19 UTC 2015 年 12 月 22 日 (火) 22 時 12 分 19 秒 (日本時間) | |
40 | 3e6 | 2200 | Youcef Lemsafer | January 5, 2016 06:59:41 UTC 2016 年 1 月 5 日 (火) 15 時 59 分 41 秒 (日本時間) | |
45 | 11e6 | 2048 | 512 | Youcef Lemsafer | January 5, 2016 09:35:49 UTC 2016 年 1 月 5 日 (火) 18 時 35 分 49 秒 (日本時間) |
1536 | Youcef Lemsafer | February 21, 2016 07:59:20 UTC 2016 年 2 月 21 日 (日) 16 時 59 分 20 秒 (日本時間) | |||
50 | 43e6 | 576 / 7005 | Youcef Lemsafer | February 21, 2016 07:59:20 UTC 2016 年 2 月 21 日 (日) 16 時 59 分 20 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 960 | Youcef Lemsafer | December 22, 2015 13:12:58 UTC 2015 年 12 月 22 日 (火) 22 時 12 分 58 秒 (日本時間) | |
40 | 3e6 | 2200 | Youcef Lemsafer | January 5, 2016 18:35:24 UTC 2016 年 1 月 6 日 (水) 3 時 35 分 24 秒 (日本時間) | |
45 | 11e6 | 2048 | 512 | Youcef Lemsafer | January 6, 2016 09:41:47 UTC 2016 年 1 月 6 日 (水) 18 時 41 分 47 秒 (日本時間) |
1536 | Youcef Lemsafer | February 21, 2016 15:50:14 UTC 2016 年 2 月 22 日 (月) 0 時 50 分 14 秒 (日本時間) | |||
50 | 43e6 | 576 / 7005 | Youcef Lemsafer | February 21, 2016 15:50:14 UTC 2016 年 2 月 22 日 (月) 0 時 50 分 14 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 960 | Youcef Lemsafer | December 22, 2015 13:46:15 UTC 2015 年 12 月 22 日 (火) 22 時 46 分 15 秒 (日本時間) | |
40 | 3e6 | 2200 | Youcef Lemsafer | January 6, 2016 16:06:54 UTC 2016 年 1 月 7 日 (木) 1 時 6 分 54 秒 (日本時間) | |
45 | 11e6 | 2048 | 512 | Youcef Lemsafer | January 7, 2016 13:23:32 UTC 2016 年 1 月 7 日 (木) 22 時 23 分 32 秒 (日本時間) |
1536 | Youcef Lemsafer | February 26, 2016 07:20:50 UTC 2016 年 2 月 26 日 (金) 16 時 20 分 50 秒 (日本時間) | |||
50 | 43e6 | 576 / 7005 | Youcef Lemsafer | February 26, 2016 07:20:50 UTC 2016 年 2 月 26 日 (金) 16 時 20 分 50 秒 (日本時間) |
name 名前 | Youcef Lemsafer |
---|---|
date 日付 | December 22, 2015 18:11:38 UTC 2015 年 12 月 23 日 (水) 3 時 11 分 38 秒 (日本時間) |
composite number 合成数 | 62696701503310761224217824788494962126956615718923812189694752670085274122349937812438621581062642234087471956253837236235331985814495165943727321340750787742895727438199071130165806163401318569599185698677442945303993088326994266815381056924461<245> |
prime factors 素因数 | 1790466326884582177035362116213<31> |
composite cofactor 合成数の残り | 35016967681488456945908430819789040347690108270663677586163442864612104036809666073338058513785257827609554423198025858173411962056017129205404024744554168862327991294989879158566951590047916857810213110711284948697<215> |
factorization results 素因数分解の結果 | GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM] Input number is (10^268+3)/(7*4153*4643407*1181567628559) (245 digits) [Tue Dec 22 14:54:37 2015] Using MODMULN [mulredc:0, sqrredc:1] Using B1=1000000, B2=1000000-1045563762, polynomial Dickson(6), sigma=3278550941 dF=4096, k=6, d=39270, d2=13, i0=13 Expected number of curves to find a factor of n digits: 35 40 45 50 55 60 65 70 75 80 910 8615 97096 1281819 1.9e+007 3.1e+008 6.2e+009 1.7e+011 2.3e+016 3.1e+021 Step 1 took 7750ms ********** Factor found in step 1: 1790466326884582177035362116213 Found probable prime factor of 31 digits: 1790466326884582177035362116213 Composite cofactor ((10^268+3)/(7*4153*4643407*1181567628559))/1790466326884582177035362116213 has 215 digits |
name 名前 | Youcef Lemsafer |
---|---|
date 日付 | January 7, 2016 13:30:10 UTC 2016 年 1 月 7 日 (木) 22 時 30 分 10 秒 (日本時間) |
composite number 合成数 | 35016967681488456945908430819789040347690108270663677586163442864612104036809666073338058513785257827609554423198025858173411962056017129205404024744554168862327991294989879158566951590047916857810213110711284948697<215> |
prime factors 素因数 | 9607642090159879471182430976883576328471<40> |
composite cofactor 合成数の残り | 3644699433313896930135466684894377315503769685185614093760585322374277051190372421812586268241640486193706790712202253306243326955154023756008659922707696831528381607640491407<175> |
factorization results 素因数分解の結果 | GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM] Input number is (10^268+3)/(7*4153*4643407*1181567628559*1790466326884582177035362116213) (215 digits) [Thu Jan 07 04:10:19 2016] Using MODMULN [mulredc:0, sqrredc:1] Using B1=3000000, B2=3000000-5706890290, polynomial Dickson(6), sigma=3935785743 dF=16384, k=2, d=158340, d2=11, i0=8 Expected number of curves to find a factor of n digits: 35 40 45 50 55 60 65 70 75 80 324 2351 20272 201449 2247436 2.8e+007 3.9e+008 6e+009 1.1e+011 7.4e+015 Step 1 took 27422ms Using 26 small primes for NTT Estimated memory usage: 71M Initializing tables of differences for F took 32ms Computing roots of F took 765ms Building F from its roots took 1281ms Computing 1/F took 609ms Initializing table of differences for G took 16ms Computing roots of G took 781ms Building G from its roots took 1469ms Computing roots of G took 609ms Building G from its roots took 1500ms Computing G * H took 312ms Reducing G * H mod F took 328ms Computing polyeval(F,G) took 2360ms Computing product of all F(g_i) took 15ms Step 2 took 10172ms ********** Factor found in step 2: 9607642090159879471182430976883576328471 Found probable prime factor of 40 digits: 9607642090159879471182430976883576328471 Composite cofactor ((10^268+3)/(7*4153*4643407*1181567628559*1790466326884582177035362116213))/9607642090159879471182430976883576328471 has 175 digits |
name 名前 | Youcef Lemsafer |
---|---|
date 日付 | January 11, 2016 00:49:16 UTC 2016 年 1 月 11 日 (月) 9 時 49 分 16 秒 (日本時間) |
composite number 合成数 | 3644699433313896930135466684894377315503769685185614093760585322374277051190372421812586268241640486193706790712202253306243326955154023756008659922707696831528381607640491407<175> |
prime factors 素因数 | 1609764397387958423012122815642347053837531<43> 96265821846864660402904255828317866513841670681043173<53> 23519456324339921291692311238729141068837460081913157668731176914898962635659289<80> |
factorization results 素因数分解の結果 | GMP-ECM 6.4.4 [configured with GMP 6.1.0, --enable-asm-redc] [ECM] Input number is (10^268+3)/(7*4153*4643407*1181567628559*1790466326884582177035362116213*9607642090159879471182430976883576328471) (175 digits) [Sun Jan 10 05:24:25 2016] Using MODMULN [mulredc:0, sqrredc:0] Using B1=43000000, B2=43000000-240490660426, polynomial Dickson(12), sigma=1679508834 dF=65536, k=5, d=690690, d2=17, i0=46 Expected number of curves to find a factor of n digits: 35 40 45 50 55 60 65 70 75 80 55 246 1286 7557 49831 361851 2844041 2.4e+07 2.2e+08 2.2e+09 Step 1 took 244984ms Using 22 small primes for NTT Estimated memory usage: 252M Initializing tables of differences for F took 64ms Computing roots of F took 3940ms Building F from its roots took 3196ms Computing 1/F took 1368ms Initializing table of differences for G took 76ms Computing roots of G took 3140ms Building G from its roots took 3592ms Computing roots of G took 3196ms Building G from its roots took 3592ms Computing G * H took 700ms Reducing G * H mod F took 736ms Computing roots of G took 3308ms Building G from its roots took 3540ms Computing G * H took 700ms Reducing G * H mod F took 760ms Computing roots of G took 3264ms Building G from its roots took 3468ms Computing G * H took 692ms Reducing G * H mod F took 756ms Computing roots of G took 3152ms Building G from its roots took 3496ms Computing G * H took 684ms Reducing G * H mod F took 768ms Computing polyeval(F,G) took 6440ms Computing product of all F(g_i) took 40ms Step 2 took 54920ms ********** Factor found in step 2: 1609764397387958423012122815642347053837531 Found probable prime factor of 43 digits: 1609764397387958423012122815642347053837531 Composite cofactor ((10^268+3)/(7*4153*4643407*1181567628559*1790466326884582177035362116213*9607642090159879471182430976883576328471))/1609764397387958423012122815642347053837531 has 133 digits Sun Jan 10 09:37:00 2016 Sun Jan 10 09:37:00 2016 Sun Jan 10 09:37:00 2016 Msieve v. 1.53 (SVN 991) Sun Jan 10 09:37:00 2016 random seeds: 806935fc ecd8e554 Sun Jan 10 09:37:00 2016 factoring 2264119792454021199193207037744357982347641036712652070772721905346021050938668014451353952558566140536827219679185098570475127483997 (133 digits) Sun Jan 10 09:37:00 2016 no P-1/P+1/ECM available, skipping Sun Jan 10 09:37:00 2016 commencing number field sieve (133-digit input) Sun Jan 10 09:37:00 2016 commencing number field sieve polynomial selection Sun Jan 10 09:37:00 2016 polynomial degree: 5 Sun Jan 10 09:37:00 2016 max stage 1 norm: 1.27e+20 Sun Jan 10 09:37:00 2016 max stage 2 norm: 2.80e+18 Sun Jan 10 09:37:00 2016 min E-value: 4.31e-11 Sun Jan 10 09:37:00 2016 poly select deadline: 76812 Sun Jan 10 09:37:00 2016 time limit set to 21.34 CPU-hours Sun Jan 10 09:37:00 2016 expecting poly E from 5.20e-11 to > 5.98e-11 Sun Jan 10 09:37:00 2016 searching leading coefficients from 20000 to 200000 Sun Jan 10 12:44:11 2016 polynomial selection complete Sun Jan 10 12:44:11 2016 R0: -40697367478304436637087837 Sun Jan 10 12:44:11 2016 R1: 34957492213217 Sun Jan 10 12:44:11 2016 A0: -251330472666678608145616817333760 Sun Jan 10 12:44:11 2016 A1: -2048320370508089696255788304 Sun Jan 10 12:44:11 2016 A2: 3371153291312272633210 Sun Jan 10 12:44:11 2016 A3: -15592330013671673 Sun Jan 10 12:44:11 2016 A4: -7487710872 Sun Jan 10 12:44:11 2016 A5: 20280 Sun Jan 10 12:44:11 2016 skew 652296.04, size 7.943e-13, alpha -6.894, combined = 5.380e-11 rroots = 3 Sun Jan 10 12:44:11 2016 elapsed time 03:07:11 <Sieved algebraic special q from 5e6 to 13e6 using gnfs-lasieve4I13e took ~130 thread.hour> Mon Jan 11 00:37:39 2016 Mon Jan 11 00:37:39 2016 Mon Jan 11 00:37:39 2016 Msieve v. 1.53 (SVN 991) Mon Jan 11 00:37:39 2016 random seeds: 844f20d0 7e61aa52 Mon Jan 11 00:37:39 2016 factoring 2264119792454021199193207037744357982347641036712652070772721905346021050938668014451353952558566140536827219679185098570475127483997 (133 digits) Mon Jan 11 00:37:40 2016 no P-1/P+1/ECM available, skipping Mon Jan 11 00:37:40 2016 commencing number field sieve (133-digit input) Mon Jan 11 00:37:40 2016 R0: -40697367478304436637087837 Mon Jan 11 00:37:40 2016 R1: 34957492213217 Mon Jan 11 00:37:40 2016 A0: -251330472666678608145616817333760 Mon Jan 11 00:37:40 2016 A1: -2048320370508089696255788304 Mon Jan 11 00:37:40 2016 A2: 3371153291312272633210 Mon Jan 11 00:37:40 2016 A3: -15592330013671673 Mon Jan 11 00:37:40 2016 A4: -7487710872 Mon Jan 11 00:37:40 2016 A5: 20280 Mon Jan 11 00:37:40 2016 skew 652296.04, size 7.943e-13, alpha -6.894, combined = 5.380e-11 rroots = 3 Mon Jan 11 00:37:40 2016 Mon Jan 11 00:37:40 2016 commencing relation filtering Mon Jan 11 00:37:40 2016 setting target matrix density to 100.0 Mon Jan 11 00:37:40 2016 estimated available RAM is 64456.1 MB Mon Jan 11 00:37:40 2016 commencing duplicate removal, pass 1 Mon Jan 11 00:40:38 2016 found 3099657 hash collisions in 24272375 relations Mon Jan 11 00:41:00 2016 added 121939 free relations Mon Jan 11 00:41:00 2016 commencing duplicate removal, pass 2 Mon Jan 11 00:41:19 2016 found 2549227 duplicates and 21845087 unique relations Mon Jan 11 00:41:19 2016 memory use: 98.6 MB Mon Jan 11 00:41:19 2016 reading ideals above 720000 Mon Jan 11 00:41:19 2016 commencing singleton removal, initial pass Mon Jan 11 00:44:07 2016 memory use: 689.0 MB Mon Jan 11 00:44:07 2016 reading all ideals from disk Mon Jan 11 00:44:07 2016 memory use: 684.6 MB Mon Jan 11 00:44:08 2016 keeping 22315583 ideals with weight <= 200, target excess is 127550 Mon Jan 11 00:44:09 2016 commencing in-memory singleton removal Mon Jan 11 00:44:11 2016 begin with 21845087 relations and 22315583 unique ideals Mon Jan 11 00:44:22 2016 reduce to 10527694 relations and 9300419 ideals in 16 passes Mon Jan 11 00:44:22 2016 max relations containing the same ideal: 123 Mon Jan 11 00:44:26 2016 removing 2189057 relations and 1789057 ideals in 400000 cliques Mon Jan 11 00:44:26 2016 commencing in-memory singleton removal Mon Jan 11 00:44:26 2016 begin with 8338637 relations and 9300419 unique ideals Mon Jan 11 00:44:30 2016 reduce to 7974111 relations and 7129251 ideals in 9 passes Mon Jan 11 00:44:30 2016 max relations containing the same ideal: 100 Mon Jan 11 00:44:33 2016 removing 1687294 relations and 1287295 ideals in 400000 cliques Mon Jan 11 00:44:33 2016 commencing in-memory singleton removal Mon Jan 11 00:44:34 2016 begin with 6286817 relations and 7129251 unique ideals Mon Jan 11 00:44:37 2016 reduce to 6004478 relations and 5545046 ideals in 10 passes Mon Jan 11 00:44:37 2016 max relations containing the same ideal: 84 Mon Jan 11 00:44:39 2016 removing 1284021 relations and 972548 ideals in 311473 cliques Mon Jan 11 00:44:39 2016 commencing in-memory singleton removal Mon Jan 11 00:44:39 2016 begin with 4720457 relations and 5545046 unique ideals Mon Jan 11 00:44:41 2016 reduce to 4510207 relations and 4351905 ideals in 9 passes Mon Jan 11 00:44:41 2016 max relations containing the same ideal: 69 Mon Jan 11 00:44:43 2016 removing 85953 relations and 75610 ideals in 10343 cliques Mon Jan 11 00:44:43 2016 commencing in-memory singleton removal Mon Jan 11 00:44:43 2016 begin with 4424254 relations and 4351905 unique ideals Mon Jan 11 00:44:44 2016 reduce to 4423376 relations and 4275415 ideals in 5 passes Mon Jan 11 00:44:44 2016 max relations containing the same ideal: 68 Mon Jan 11 00:44:44 2016 relations with 0 large ideals: 454 Mon Jan 11 00:44:44 2016 relations with 1 large ideals: 1921 Mon Jan 11 00:44:44 2016 relations with 2 large ideals: 29786 Mon Jan 11 00:44:44 2016 relations with 3 large ideals: 186757 Mon Jan 11 00:44:44 2016 relations with 4 large ideals: 610056 Mon Jan 11 00:44:44 2016 relations with 5 large ideals: 1135953 Mon Jan 11 00:44:44 2016 relations with 6 large ideals: 1254385 Mon Jan 11 00:44:44 2016 relations with 7+ large ideals: 1204064 Mon Jan 11 00:44:44 2016 commencing 2-way merge Mon Jan 11 00:44:46 2016 reduce to 2637270 relation sets and 2489309 unique ideals Mon Jan 11 00:44:46 2016 commencing full merge Mon Jan 11 00:45:26 2016 memory use: 322.3 MB Mon Jan 11 00:45:26 2016 found 1213522 cycles, need 1201509 Mon Jan 11 00:45:26 2016 weight of 1201509 cycles is about 120601484 (100.38/cycle) Mon Jan 11 00:45:26 2016 distribution of cycle lengths: Mon Jan 11 00:45:26 2016 1 relations: 81794 Mon Jan 11 00:45:26 2016 2 relations: 93636 Mon Jan 11 00:45:26 2016 3 relations: 97576 Mon Jan 11 00:45:26 2016 4 relations: 94238 Mon Jan 11 00:45:26 2016 5 relations: 92917 Mon Jan 11 00:45:26 2016 6 relations: 88190 Mon Jan 11 00:45:26 2016 7 relations: 83492 Mon Jan 11 00:45:26 2016 8 relations: 77261 Mon Jan 11 00:45:26 2016 9 relations: 71285 Mon Jan 11 00:45:26 2016 10+ relations: 421120 Mon Jan 11 00:45:26 2016 heaviest cycle: 27 relations Mon Jan 11 00:45:27 2016 commencing cycle optimization Mon Jan 11 00:45:28 2016 start with 9775010 relations Mon Jan 11 00:45:42 2016 pruned 358657 relations Mon Jan 11 00:45:42 2016 memory use: 280.1 MB Mon Jan 11 00:45:42 2016 distribution of cycle lengths: Mon Jan 11 00:45:42 2016 1 relations: 81794 Mon Jan 11 00:45:42 2016 2 relations: 95887 Mon Jan 11 00:45:42 2016 3 relations: 101315 Mon Jan 11 00:45:42 2016 4 relations: 97520 Mon Jan 11 00:45:42 2016 5 relations: 96777 Mon Jan 11 00:45:42 2016 6 relations: 91070 Mon Jan 11 00:45:42 2016 7 relations: 86581 Mon Jan 11 00:45:42 2016 8 relations: 79790 Mon Jan 11 00:45:42 2016 9 relations: 73497 Mon Jan 11 00:45:42 2016 10+ relations: 397278 Mon Jan 11 00:45:42 2016 heaviest cycle: 27 relations Mon Jan 11 00:45:45 2016 RelProcTime: 485 Mon Jan 11 00:45:45 2016 elapsed time 00:08:06 Mon Jan 11 00:46:33 2016 <...snipped...> Mon Jan 11 00:46:34 2016 Mon Jan 11 00:46:34 2016 commencing linear algebra Mon Jan 11 00:46:34 2016 read 1201509 cycles Mon Jan 11 00:46:36 2016 cycles contain 4316463 unique relations Mon Jan 11 00:47:09 2016 read 4316463 relations Mon Jan 11 00:47:13 2016 using 20 quadratic characters above 4294917295 Mon Jan 11 00:47:30 2016 building initial matrix Mon Jan 11 00:48:25 2016 memory use: 555.9 MB Mon Jan 11 00:48:28 2016 read 1201509 cycles Mon Jan 11 00:48:28 2016 matrix is 1201331 x 1201509 (482.4 MB) with weight 149600051 (124.51/col) Mon Jan 11 00:48:28 2016 sparse part has weight 113238179 (94.25/col) Mon Jan 11 00:48:37 2016 filtering completed in 2 passes Mon Jan 11 00:48:37 2016 matrix is 1201163 x 1201341 (482.4 MB) with weight 149592348 (124.52/col) Mon Jan 11 00:48:37 2016 sparse part has weight 113235987 (94.26/col) Mon Jan 11 00:48:45 2016 matrix starts at (0, 0) Mon Jan 11 00:48:46 2016 matrix is 1201163 x 1201341 (482.4 MB) with weight 149592348 (124.52/col) Mon Jan 11 00:48:46 2016 sparse part has weight 113235987 (94.26/col) Mon Jan 11 00:48:46 2016 saving the first 48 matrix rows for later Mon Jan 11 00:48:46 2016 matrix includes 64 packed rows Mon Jan 11 00:48:46 2016 matrix is 1201115 x 1201341 (468.0 MB) with weight 125070096 (104.11/col) Mon Jan 11 00:48:46 2016 sparse part has weight 110665757 (92.12/col) Mon Jan 11 00:48:46 2016 using block size 8192 and superblock size 1474560 for processor cache size 15360 kB Mon Jan 11 00:48:50 2016 commencing Lanczos iteration (6 threads) Mon Jan 11 00:48:50 2016 memory use: 375.3 MB Mon Jan 11 00:48:52 2016 linear algebra at 0.1%, ETA 0h26m Mon Jan 11 00:48:54 2016 checkpointing every 1820000 dimensions Mon Jan 11 01:26:42 2016 lanczos halted after 18994 iterations (dim = 1201115) Mon Jan 11 01:26:42 2016 recovered 31 nontrivial dependencies Mon Jan 11 01:26:43 2016 BLanczosTime: 2409 Mon Jan 11 01:26:43 2016 Mon Jan 11 01:26:43 2016 commencing square root phase Mon Jan 11 01:26:43 2016 reading relations for dependency 1 Mon Jan 11 01:26:43 2016 read 601567 cycles Mon Jan 11 01:26:43 2016 cycles contain 2160482 unique relations Mon Jan 11 01:27:07 2016 read 2160482 relations Mon Jan 11 01:27:13 2016 multiplying 2160482 relations Mon Jan 11 01:28:20 2016 multiply complete, coefficients have about 99.67 million bits Mon Jan 11 01:28:20 2016 initial square root is modulo 14253487 Mon Jan 11 01:29:43 2016 GCD is N, no factor found Mon Jan 11 01:29:43 2016 reading relations for dependency 2 Mon Jan 11 01:29:43 2016 read 600955 cycles Mon Jan 11 01:29:44 2016 cycles contain 2158982 unique relations Mon Jan 11 01:30:08 2016 read 2158982 relations Mon Jan 11 01:30:14 2016 multiplying 2158982 relations Mon Jan 11 01:31:20 2016 multiply complete, coefficients have about 99.60 million bits Mon Jan 11 01:31:21 2016 initial square root is modulo 14088143 Mon Jan 11 01:32:41 2016 sqrtTime: 358 Mon Jan 11 01:32:41 2016 p53 factor: 96265821846864660402904255828317866513841670681043173 Mon Jan 11 01:32:41 2016 p80 factor: 23519456324339921291692311238729141068837460081913157668731176914898962635659289 Mon Jan 11 01:32:41 2016 elapsed time 00:46:08 |
execution environment 実行環境 | Core i7-5820K, Linux Debian 8.2 64-bit. |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 960 | Youcef Lemsafer | December 22, 2015 18:09:55 UTC 2015 年 12 月 23 日 (水) 3 時 9 分 55 秒 (日本時間) | |
40 | 3e6 | 2200 | Youcef Lemsafer | January 7, 2016 13:26:06 UTC 2016 年 1 月 7 日 (木) 22 時 26 分 6 秒 (日本時間) | |
45 | 11e6 | 2048 | Youcef Lemsafer | January 10, 2016 13:03:15 UTC 2016 年 1 月 10 日 (日) 22 時 3 分 15 秒 (日本時間) | |
50 | 43e6 | 640 / 6716 | Youcef Lemsafer | January 10, 2016 13:03:15 UTC 2016 年 1 月 10 日 (日) 22 時 3 分 15 秒 (日本時間) | |
55 | 11e7 | 120 / 17395 | Youcef Lemsafer | January 10, 2016 13:03:15 UTC 2016 年 1 月 10 日 (日) 22 時 3 分 15 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 960 | Youcef Lemsafer | December 22, 2015 18:14:04 UTC 2015 年 12 月 23 日 (水) 3 時 14 分 4 秒 (日本時間) | |
40 | 3e6 | 2200 | Youcef Lemsafer | January 8, 2016 10:25:59 UTC 2016 年 1 月 8 日 (金) 19 時 25 分 59 秒 (日本時間) | |
45 | 11e6 | 2048 | 512 | Youcef Lemsafer | January 8, 2016 20:54:37 UTC 2016 年 1 月 9 日 (土) 5 時 54 分 37 秒 (日本時間) |
1536 | Youcef Lemsafer | February 26, 2016 07:21:25 UTC 2016 年 2 月 26 日 (金) 16 時 21 分 25 秒 (日本時間) | |||
50 | 43e6 | 576 / 7005 | Youcef Lemsafer | February 26, 2016 07:21:25 UTC 2016 年 2 月 26 日 (金) 16 時 21 分 25 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 960 | Youcef Lemsafer | December 23, 2015 10:51:24 UTC 2015 年 12 月 23 日 (水) 19 時 51 分 24 秒 (日本時間) | |
40 | 3e6 | 2200 | Youcef Lemsafer | January 9, 2016 09:26:06 UTC 2016 年 1 月 9 日 (土) 18 時 26 分 6 秒 (日本時間) | |
45 | 11e6 | 512 | Youcef Lemsafer | January 9, 2016 22:49:25 UTC 2016 年 1 月 10 日 (日) 7 時 49 分 25 秒 (日本時間) | |
50 | 43e6 | 1000 / 7350 | Robert Balfour | July 2, 2020 00:02:41 UTC 2020 年 7 月 2 日 (木) 9 時 2 分 41 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 2400 | 600 | Dmitry Domanov | October 28, 2015 23:10:33 UTC 2015 年 10 月 29 日 (木) 8 時 10 分 33 秒 (日本時間) |
1800 | Youcef Lemsafer | January 10, 2016 10:21:13 UTC 2016 年 1 月 10 日 (日) 19 時 21 分 13 秒 (日本時間) | |||
45 | 11e6 | 3968 | 512 | Youcef Lemsafer | January 10, 2016 18:05:46 UTC 2016 年 1 月 11 日 (月) 3 時 5 分 46 秒 (日本時間) |
3456 | A | May 23, 2016 18:15:50 UTC 2016 年 5 月 24 日 (火) 3 時 15 分 50 秒 (日本時間) | |||
50 | 43e6 | 1408 / 6572 | Alfred Reich | May 25, 2016 15:35:01 UTC 2016 年 5 月 26 日 (木) 0 時 35 分 1 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 2400 | 600 | Dmitry Domanov | November 18, 2015 12:13:39 UTC 2015 年 11 月 18 日 (水) 21 時 13 分 39 秒 (日本時間) |
1800 | Youcef Lemsafer | January 11, 2016 08:17:59 UTC 2016 年 1 月 11 日 (月) 17 時 17 分 59 秒 (日本時間) | |||
45 | 11e6 | 512 | Youcef Lemsafer | January 11, 2016 19:55:39 UTC 2016 年 1 月 12 日 (火) 4 時 55 分 39 秒 (日本時間) | |
50 | 43e6 | 1000 / 7348 | Robert Balfour | July 2, 2020 00:02:57 UTC 2020 年 7 月 2 日 (木) 9 時 2 分 57 秒 (日本時間) |
name 名前 | Youcef Lemsafer |
---|---|
date 日付 | January 12, 2016 07:25:21 UTC 2016 年 1 月 12 日 (火) 16 時 25 分 21 秒 (日本時間) |
composite number 合成数 | 2563906423595601870953060515432629196956052946865239609800176238361829506134228279785303162443993174410789075785768195913199697804603405349375571919021885195805822946470328095685331568341040251951979546984463084084042027631607298844575939927<241> |
prime factors 素因数 | 344993155571457468539579245369064198677<39> 7378825511604307474577990606090532426331817<43> 1007173871837808568446453236697857967855955000828194304170674119999928128845252728740806611295651769086939900685051858710192206024902593334896538319088909342403<160> |
factorization results 素因数分解の結果 | GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM] Input number is (10^273+3)/(23*1583*7042774119001*1521056404586021) (241 digits) [Mon Jan 11 23:21:13 2016] Using MODMULN [mulredc:0, sqrredc:1] Using B1=3000000, B2=3000000-5706890290, polynomial Dickson(6), sigma=1527649566 dF=16384, k=2, d=158340, d2=11, i0=8 Expected number of curves to find a factor of n digits: 35 40 45 50 55 60 65 70 75 80 324 2351 20272 201449 2247436 2.8e+007 3.9e+008 6e+009 1.1e+011 7.4e+015 Step 1 took 26187ms Using 29 small primes for NTT Estimated memory usage: 77M Initializing tables of differences for F took 31ms Computing roots of F took 891ms Building F from its roots took 1375ms Computing 1/F took 687ms Initializing table of differences for G took 16ms Computing roots of G took 656ms Building G from its roots took 1531ms Computing roots of G took 657ms Building G from its roots took 1531ms Computing G * H took 328ms Reducing G * H mod F took 468ms Computing polyeval(F,G) took 2797ms Computing product of all F(g_i) took 32ms Step 2 took 11125ms ********** Factor found in step 2: 344993155571457468539579245369064198677 Found probable prime factor of 39 digits: 344993155571457468539579245369064198677 Composite cofactor ((10^273+3)/(23*1583*7042774119001*1521056404586021))/344993155571457468539579245369064198677 has 202 digits [Mon Jan 11 23:57:03 2016] Using MODMULN [mulredc:0, sqrredc:2] Using B1=3000000, B2=3000000-5706890290, polynomial Dickson(6), sigma=2828923556 dF=16384, k=2, d=158340, d2=11, i0=8 Expected number of curves to find a factor of n digits: 35 40 45 50 55 60 65 70 75 80 324 2351 20272 201449 2247436 2.8e+007 3.9e+008 6e+009 1.1e+011 7.4e+015 Step 1 took 22610ms Using 25 small primes for NTT Estimated memory usage: 66M Initializing tables of differences for F took 16ms Computing roots of F took 640ms Building F from its roots took 1219ms Computing 1/F took 594ms Initializing table of differences for G took 15ms Computing roots of G took 578ms Building G from its roots took 1485ms Computing roots of G took 562ms Building G from its roots took 1406ms Computing G * H took 375ms Reducing G * H mod F took 422ms Computing polyeval(F,G) took 2594ms Computing product of all F(g_i) took 16ms Step 2 took 10015ms ********** Factor found in step 2: 7378825511604307474577990606090532426331817 Found probable prime factor of 43 digits: 7378825511604307474577990606090532426331817 Probable prime cofactor (((10^273+3)/(23*1583*7042774119001*1521056404586021))/344993155571457468539579245369064198677)/7378825511604307474577990606090532426331817 has 160 digits |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 960 | Youcef Lemsafer | December 23, 2015 10:53:55 UTC 2015 年 12 月 23 日 (水) 19 時 53 分 55 秒 (日本時間) | |
40 | 3e6 | 785 / 2074 | Youcef Lemsafer | January 12, 2016 07:19:40 UTC 2016 年 1 月 12 日 (火) 16 時 19 分 40 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 960 | Youcef Lemsafer | December 23, 2015 10:54:30 UTC 2015 年 12 月 23 日 (水) 19 時 54 分 30 秒 (日本時間) | |
40 | 3e6 | 2200 | Youcef Lemsafer | January 12, 2016 12:59:40 UTC 2016 年 1 月 12 日 (火) 21 時 59 分 40 秒 (日本時間) | |
45 | 11e6 | 512 | Youcef Lemsafer | January 13, 2016 05:49:53 UTC 2016 年 1 月 13 日 (水) 14 時 49 分 53 秒 (日本時間) | |
50 | 43e6 | 1000 / 7350 | Robert Balfour | July 2, 2020 00:03:17 UTC 2020 年 7 月 2 日 (木) 9 時 3 分 17 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 960 | Youcef Lemsafer | December 23, 2015 10:55:00 UTC 2015 年 12 月 23 日 (水) 19 時 55 分 0 秒 (日本時間) | |
40 | 3e6 | 2200 | Youcef Lemsafer | January 13, 2016 16:09:54 UTC 2016 年 1 月 14 日 (木) 1 時 9 分 54 秒 (日本時間) | |
45 | 11e6 | 512 | Youcef Lemsafer | January 14, 2016 05:40:21 UTC 2016 年 1 月 14 日 (木) 14 時 40 分 21 秒 (日本時間) | |
50 | 43e6 | 1000 / 7350 | Robert Balfour | July 2, 2020 00:03:35 UTC 2020 年 7 月 2 日 (木) 9 時 3 分 35 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 2400 | 600 | Dmitry Domanov | October 28, 2015 23:07:20 UTC 2015 年 10 月 29 日 (木) 8 時 7 分 20 秒 (日本時間) |
1800 | Youcef Lemsafer | January 14, 2016 20:01:53 UTC 2016 年 1 月 15 日 (金) 5 時 1 分 53 秒 (日本時間) | |||
45 | 11e6 | 512 | Youcef Lemsafer | January 15, 2016 09:36:31 UTC 2016 年 1 月 15 日 (金) 18 時 36 分 31 秒 (日本時間) | |
50 | 43e6 | 1000 / 7348 | Robert Balfour | July 2, 2020 00:03:55 UTC 2020 年 7 月 2 日 (木) 9 時 3 分 55 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 960 | Youcef Lemsafer | December 23, 2015 10:56:17 UTC 2015 年 12 月 23 日 (水) 19 時 56 分 17 秒 (日本時間) | |
40 | 3e6 | 2200 | Youcef Lemsafer | January 16, 2016 03:22:12 UTC 2016 年 1 月 16 日 (土) 12 時 22 分 12 秒 (日本時間) | |
45 | 11e6 | 512 | Youcef Lemsafer | January 16, 2016 12:19:46 UTC 2016 年 1 月 16 日 (土) 21 時 19 分 46 秒 (日本時間) | |
50 | 43e6 | 1000 / 7350 | Robert Balfour | July 2, 2020 00:04:20 UTC 2020 年 7 月 2 日 (木) 9 時 4 分 20 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 960 | Youcef Lemsafer | December 23, 2015 13:26:50 UTC 2015 年 12 月 23 日 (水) 22 時 26 分 50 秒 (日本時間) | |
40 | 3e6 | 2200 | Youcef Lemsafer | January 16, 2016 22:14:35 UTC 2016 年 1 月 17 日 (日) 7 時 14 分 35 秒 (日本時間) | |
45 | 11e6 | 512 | Youcef Lemsafer | January 17, 2016 10:01:49 UTC 2016 年 1 月 17 日 (日) 19 時 1 分 49 秒 (日本時間) | |
50 | 43e6 | 1000 / 7350 | Robert Balfour | July 2, 2020 00:04:39 UTC 2020 年 7 月 2 日 (木) 9 時 4 分 39 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 960 | Youcef Lemsafer | December 23, 2015 14:47:24 UTC 2015 年 12 月 23 日 (水) 23 時 47 分 24 秒 (日本時間) | |
40 | 3e6 | 2200 | Youcef Lemsafer | January 17, 2016 19:06:51 UTC 2016 年 1 月 18 日 (月) 4 時 6 分 51 秒 (日本時間) | |
45 | 11e6 | 4114 | 512 | Youcef Lemsafer | January 18, 2016 05:04:40 UTC 2016 年 1 月 18 日 (月) 14 時 4 分 40 秒 (日本時間) |
3602 | Thomas Kozlowski | September 24, 2024 10:24:09 UTC 2024 年 9 月 24 日 (火) 19 時 24 分 9 秒 (日本時間) |
name 名前 | ebina |
---|---|
date 日付 | November 15, 2021 21:27:56 UTC 2021 年 11 月 16 日 (火) 6 時 27 分 56 秒 (日本時間) |
composite number 合成数 | 33328182814176575063084478504428149702221641578440594819169608454634772187056393579996193146693531411312469082803471613944521275333645514519190583287503066723875351091194097962827822762707091562754988201161967719864256873<221> |
prime factors 素因数 | 1722689845692146673036698224679144833917709<43> |
composite cofactor 合成数の残り | 19346595034224453604739114321140447632824911378380711263241649360384355475801701474809598424049023418398482964283193128322654690768364810562327297737825239137821966942662345889997<179> |
factorization results 素因数分解の結果 | Y:\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:1739111642 11e6 GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM] Input number is 33328182814176575063084478504428149702221641578440594819169608454634772187056393579996193146693531411312469082803471613944521275333645514519190583287503066723875351091194097962827822762707091562754988201161967719864256873 (221 digits) Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1739111642 Step 1 took 34500ms Step 2 took 18922ms ********** Factor found in step 2: 1722689845692146673036698224679144833917709 Found probable prime factor of 43 digits: 1722689845692146673036698224679144833917709 Composite cofactor 19346595034224453604739114321140447632824911378380711263241649360384355475801701474809598424049023418398482964283193128322654690768364810562327297737825239137821966942662345889997 has 179 digits |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 960 | Youcef Lemsafer | December 23, 2015 16:37:53 UTC 2015 年 12 月 24 日 (木) 1 時 37 分 53 秒 (日本時間) | |
40 | 3e6 | 2200 | Youcef Lemsafer | January 18, 2016 16:59:20 UTC 2016 年 1 月 19 日 (火) 1 時 59 分 20 秒 (日本時間) | |
45 | 11e6 | 7195 | 512 | Youcef Lemsafer | January 19, 2016 03:54:18 UTC 2016 年 1 月 19 日 (火) 12 時 54 分 18 秒 (日本時間) |
2203 | ebina | November 15, 2021 21:27:18 UTC 2021 年 11 月 16 日 (火) 6 時 27 分 18 秒 (日本時間) | |||
4480 | Ignacio Santos | November 28, 2021 08:39:35 UTC 2021 年 11 月 28 日 (日) 17 時 39 分 35 秒 (日本時間) | |||
50 | 43e6 | 1792 / 5850 | Dmitry Domanov | May 1, 2024 20:52:53 UTC 2024 年 5 月 2 日 (木) 5 時 52 分 53 秒 (日本時間) |
name 名前 | Thomas Kozlowski |
---|---|
date 日付 | September 24, 2024 16:20:42 UTC 2024 年 9 月 25 日 (水) 1 時 20 分 42 秒 (日本時間) |
composite number 合成数 | 158054861868792874270467144465175961511964142236716373476690130757575854839642732920619874052310453766843809823727520227644629244970535077423045633404137534082642828913290934942677873231925273419075965196523639371083803361477812395786411243335873080279<252> |
prime factors 素因数 | 11564692912024546944202440826731907405634153<44> |
composite cofactor 合成数の残り | 13667017626075758504445629116608875485142681314009399640262796022489499845237919147941906189231665713598599031000313246812881687312096760371961206946840249350944020182597905107796222149633084705630739006458943<209> |
factorization results 素因数分解の結果 | GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM] Input number is 158054861868792874270467144465175961511964142236716373476690130757575854839642732920619874052310453766843809823727520227644629244970535077423045633404137534082642828913290934942677873231925273419075965196523639371083803361477812395786411243335873080279 (252 digits) Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1028712543 Step 1 took 53666ms Step 2 took 17916ms Run 2 out of 0: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3455728825 Step 1 took 51767ms Step 2 took 18980ms Run 3 out of 0: ... Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3750031368 Step 1 took 50503ms Step 2 took 17719ms Run 86 out of 0: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2772754134 Step 1 took 50641ms Step 2 took 18880ms ** Factor found in step 2: 11564692912024546944202440826731907405634153 Found prime factor of 44 digits: 11564692912024546944202440826731907405634153 Composite cofactor 13667017626075758504445629116608875485142681314009399640262796022489499845237919147941906189231665713598599031000313246812881687312096760371961206946840249350944020182597905107796222149633084705630739006458943 has 209 digits |
execution environment 実行環境 | 2x Xeon E5-2698v4, 128GB DDR4, Ubuntu Server 24.04 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 960 | Youcef Lemsafer | December 23, 2015 17:41:37 UTC 2015 年 12 月 24 日 (木) 2 時 41 分 37 秒 (日本時間) | |
40 | 3e6 | 2200 | Youcef Lemsafer | January 19, 2016 15:48:30 UTC 2016 年 1 月 20 日 (水) 0 時 48 分 30 秒 (日本時間) | |
45 | 11e6 | 512 / 3948 | Youcef Lemsafer | January 20, 2016 03:51:56 UTC 2016 年 1 月 20 日 (水) 12 時 51 分 56 秒 (日本時間) |
name 名前 | Youcef Lemsafer |
---|---|
date 日付 | January 20, 2016 22:13:27 UTC 2016 年 1 月 21 日 (木) 7 時 13 分 27 秒 (日本時間) |
composite number 合成数 | 1233192154320380844234728235186002832019899018058804537251808086514831619106461673059094625256181037957917884216241989083398951209254147899980958624653219895085433071758016070683675679755985359237314768117009561306940327722017279268015350210604533381047<253> |
prime factors 素因数 | 47421280646712357762153085774346158035817<41> 26005036926514891622419887004993122945074375850838364036752350069818845976585765949272510244715455941967276343092725734174074948119039534066121569397802439640936860807000345021818699674577477547458330959726620191<212> |
factorization results 素因数分解の結果 | GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM] Input number is (10^284+3)/(19*31*2478967441099*55537091190792859) (253 digits) [Wed Jan 20 16:17:12 2016] Using MODMULN [mulredc:0, sqrredc:1] Using B1=3000000, B2=3000000-5706890290, polynomial Dickson(6), sigma=3660903374 dF=16384, k=2, d=158340, d2=11, i0=8 Expected number of curves to find a factor of n digits: 35 40 45 50 55 60 65 70 75 80 324 2351 20272 201449 2247436 2.8e+007 3.9e+008 6e+009 1.1e+011 7.4e+015 Step 1 took 26531ms Using 30 small primes for NTT Estimated memory usage: 81M Initializing tables of differences for F took 31ms Computing roots of F took 625ms Building F from its roots took 1172ms Computing 1/F took 641ms Initializing table of differences for G took 15ms Computing roots of G took 625ms Building G from its roots took 1391ms Computing roots of G took 578ms Building G from its roots took 1437ms Computing G * H took 328ms Reducing G * H mod F took 359ms Computing polyeval(F,G) took 2469ms Computing product of all F(g_i) took 16ms Step 2 took 9797ms ********** Factor found in step 2: 47421280646712357762153085774346158035817 Found probable prime factor of 41 digits: 47421280646712357762153085774346158035817 Probable prime cofactor ((10^284+3)/(19*31*2478967441099*55537091190792859))/47421280646712357762153085774346158035817 has 212 digits |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 960 | Youcef Lemsafer | December 24, 2015 09:32:41 UTC 2015 年 12 月 24 日 (木) 18 時 32 分 41 秒 (日本時間) | |
40 | 3e6 | 1635 / 2074 | Youcef Lemsafer | January 20, 2016 22:10:48 UTC 2016 年 1 月 21 日 (木) 7 時 10 分 48 秒 (日本時間) |
name 名前 | Youcef Lemsafer |
---|---|
date 日付 | December 24, 2015 09:35:38 UTC 2015 年 12 月 24 日 (木) 18 時 35 分 38 秒 (日本時間) |
composite number 合成数 | 79121133571307952457109308646828673690515222493075563927078529903845436758103504399388324576746393819064892233479021874894694346240939506900052538717991653059238710338178776409194661707791358882437896696439349550300450801940423371650220300010159<245> |
prime factors 素因数 | 21927556288137870341952310380229<32> |
composite cofactor 合成数の残り | 3608296908767259132913010089242249026561677555489825314363595945467860280503193643790990816881621425850613239161641841063622566127820472165033116566887369831629830965444491429178235404669163306653262992911516179171<214> |
factorization results 素因数分解の結果 | GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM] Input number is (10^286+3)/(7^2*547*2634109*197886289*9046376246915873101339) (245 digits) [Wed Dec 23 21:46:35 2015] Using MODMULN [mulredc:0, sqrredc:1] Using B1=1000000, B2=1000000-1045563762, polynomial Dickson(6), sigma=3999791038 dF=4096, k=6, d=39270, d2=13, i0=13 Expected number of curves to find a factor of n digits: 35 40 45 50 55 60 65 70 75 80 910 8615 97096 1281819 1.9e+007 3.1e+008 6.2e+009 1.7e+011 2.3e+016 3.1e+021 Step 1 took 8641ms Using 29 small primes for NTT Estimated memory usage: 19M Initializing tables of differences for F took 31ms Computing roots of F took 157ms Building F from its roots took 219ms Computing 1/F took 156ms Initializing table of differences for G took 16ms Computing roots of G took 172ms Building G from its roots took 265ms Computing roots of G took 157ms Building G from its roots took 281ms Computing G * H took 62ms Reducing G * H mod F took 94ms Computing roots of G took 141ms Building G from its roots took 265ms Computing G * H took 94ms Reducing G * H mod F took 94ms Computing roots of G took 156ms Building G from its roots took 266ms Computing G * H took 62ms Reducing G * H mod F took 94ms Computing roots of G took 156ms Building G from its roots took 250ms Computing G * H took 78ms Reducing G * H mod F took 79ms Computing roots of G took 140ms Building G from its roots took 281ms Computing G * H took 63ms Reducing G * H mod F took 109ms Computing polyeval(F,G) took 485ms Computing product of all F(g_i) took 0ms Step 2 took 4453ms ********** Factor found in step 2: 21927556288137870341952310380229 Found probable prime factor of 32 digits: 21927556288137870341952310380229 Composite cofactor ((10^286+3)/(7^2*547*2634109*197886289*9046376246915873101339))/21927556288137870341952310380229 has 214 digits |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 960 | Youcef Lemsafer | December 24, 2015 09:34:29 UTC 2015 年 12 月 24 日 (木) 18 時 34 分 29 秒 (日本時間) | |
40 | 3e6 | 2200 | Youcef Lemsafer | January 21, 2016 04:11:49 UTC 2016 年 1 月 21 日 (木) 13 時 11 分 49 秒 (日本時間) | |
45 | 11e6 | 4112 | 512 | Youcef Lemsafer | January 21, 2016 13:35:40 UTC 2016 年 1 月 21 日 (木) 22 時 35 分 40 秒 (日本時間) |
3600 | Thomas Kozlowski | September 24, 2024 13:25:37 UTC 2024 年 9 月 24 日 (火) 22 時 25 分 37 秒 (日本時間) |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | February 13, 2016 21:04:32 UTC 2016 年 2 月 14 日 (日) 6 時 4 分 32 秒 (日本時間) |
composite number 合成数 | 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003<288> |
prime factors 素因数 | 34063788845851374656087366478010842180468143<44> |
composite cofactor 合成数の残り | 2935668737630135636725108110293552403816428281983705422555525234223286031565507731530240944787750114653399380006451813855074690223765915429220673204112186654110794637323426011259730270500621451482758874237108025231911281127664334573959780183021<244> |
factorization results 素因数分解の結果 | Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=1289875938 Step 1 took 1591244ms Step 2 took 369034ms ********** Factor found in step 2: 34063788845851374656087366478010842180468143 Found probable prime factor of 44 digits: 34063788845851374656087366478010842180468143 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 2350 | 600 | Dmitry Domanov | October 28, 2015 23:05:07 UTC 2015 年 10 月 29 日 (木) 8 時 5 分 7 秒 (日本時間) |
1750 | Serge Batalov | November 16, 2015 16:57:03 UTC 2015 年 11 月 17 日 (火) 1 時 57 分 3 秒 (日本時間) | |||
45 | 11e6 | 512 | 256 | Youcef Lemsafer | December 24, 2015 09:38:55 UTC 2015 年 12 月 24 日 (木) 18 時 38 分 55 秒 (日本時間) |
256 | Youcef Lemsafer | January 22, 2016 10:30:00 UTC 2016 年 1 月 22 日 (金) 19 時 30 分 0 秒 (日本時間) | |||
50 | 43e6 | 600 / 6867 | Dmitry Domanov | February 6, 2016 15:54:07 UTC 2016 年 2 月 7 日 (日) 0 時 54 分 7 秒 (日本時間) | |
55 | 11e7 | 200 / 17505 | Dmitry Domanov | February 12, 2016 20:10:33 UTC 2016 年 2 月 13 日 (土) 5 時 10 分 33 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 960 | Youcef Lemsafer | December 24, 2015 09:39:29 UTC 2015 年 12 月 24 日 (木) 18 時 39 分 29 秒 (日本時間) | |
40 | 3e6 | 2200 | Youcef Lemsafer | January 22, 2016 10:28:45 UTC 2016 年 1 月 22 日 (金) 19 時 28 分 45 秒 (日本時間) | |
45 | 11e6 | 4112 | 512 | Youcef Lemsafer | January 22, 2016 21:21:49 UTC 2016 年 1 月 23 日 (土) 6 時 21 分 49 秒 (日本時間) |
3600 | Thomas Kozlowski | September 24, 2024 14:57:33 UTC 2024 年 9 月 24 日 (火) 23 時 57 分 33 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 960 | Youcef Lemsafer | December 24, 2015 09:39:52 UTC 2015 年 12 月 24 日 (木) 18 時 39 分 52 秒 (日本時間) | |
40 | 3e6 | 2200 | Youcef Lemsafer | January 23, 2016 23:49:06 UTC 2016 年 1 月 24 日 (日) 8 時 49 分 6 秒 (日本時間) | |
45 | 11e6 | 4115 | 512 | Youcef Lemsafer | January 23, 2016 23:49:06 UTC 2016 年 1 月 24 日 (日) 8 時 49 分 6 秒 (日本時間) |
3603 | Thomas Kozlowski | September 24, 2024 16:52:13 UTC 2024 年 9 月 25 日 (水) 1 時 52 分 13 秒 (日本時間) |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | September 6, 2016 06:13:08 UTC 2016 年 9 月 6 日 (火) 15 時 13 分 8 秒 (日本時間) |
composite number 合成数 | 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003<291> |
prime factors 素因数 | 10986339883821267003424329863740329496193719007689<50> |
composite cofactor 合成数の残り | 9102212479996387640615453612595385198542660903953580529979513520477614916052969385814469228108016539324163775091839669100596909676194552894543150740941583844710690936656351364205527333829171050705825738343048239602690922364840634452598411627<241> |
factorization results 素因数分解の結果 | Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=143171089 Step 1 took 545091ms Step 2 took 115146ms ********** Factor found in step 2: 10986339883821267003424329863740329496193719007689 Found probable prime factor of 50 digits: 10986339883821267003424329863740329496193719007689 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 2400 | 600 | Dmitry Domanov | October 28, 2015 18:47:48 UTC 2015 年 10 月 29 日 (木) 3 時 47 分 48 秒 (日本時間) |
1800 | Serge Batalov | November 16, 2015 16:52:55 UTC 2015 年 11 月 17 日 (火) 1 時 52 分 55 秒 (日本時間) | |||
45 | 11e6 | 512 | 256 | Youcef Lemsafer | December 24, 2015 14:30:08 UTC 2015 年 12 月 24 日 (木) 23 時 30 分 8 秒 (日本時間) |
256 | Youcef Lemsafer | January 25, 2016 05:52:11 UTC 2016 年 1 月 25 日 (月) 14 時 52 分 11 秒 (日本時間) | |||
50 | 43e6 | 3800 / 6866 | 600 | Dmitry Domanov | February 6, 2016 15:52:43 UTC 2016 年 2 月 7 日 (日) 0 時 52 分 43 秒 (日本時間) |
3200 | Dmitry Domanov | September 2, 2016 22:26:51 UTC 2016 年 9 月 3 日 (土) 7 時 26 分 51 秒 (日本時間) | |||
55 | 11e7 | 200 / 16363 | Dmitry Domanov | February 12, 2016 20:08:21 UTC 2016 年 2 月 13 日 (土) 5 時 8 分 21 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 960 | Youcef Lemsafer | December 24, 2015 22:23:18 UTC 2015 年 12 月 25 日 (金) 7 時 23 分 18 秒 (日本時間) | |
40 | 3e6 | 2200 | Youcef Lemsafer | January 25, 2016 05:55:45 UTC 2016 年 1 月 25 日 (月) 14 時 55 分 45 秒 (日本時間) | |
45 | 11e6 | 4115 | 512 | Youcef Lemsafer | January 25, 2016 09:43:36 UTC 2016 年 1 月 25 日 (月) 18 時 43 分 36 秒 (日本時間) |
3603 | Thomas Kozlowski | September 24, 2024 18:46:48 UTC 2024 年 9 月 25 日 (水) 3 時 46 分 48 秒 (日本時間) |
name 名前 | Youcef Lemsafer |
---|---|
date 日付 | December 24, 2015 22:27:24 UTC 2015 年 12 月 25 日 (金) 7 時 27 分 24 秒 (日本時間) |
composite number 合成数 | 735905655488351676632303470707423061970622473595156574984972656629712833334326046628832411821291713038071213847840846467623229427505695420631360556897936083823361424571469389668566080970607106049509110663979443509111335817<222> |
prime factors 素因数 | 21553758536380357206674923497094609<35> 34142799467954715923547179836825606099713901665054996112217182884995653362783402528612657081098105249614231417301314438320558153204950904974286082531379817013456837214436258651976047405113<188> |
factorization results 素因数分解の結果 | GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM] Input number is (10^293+3)/(29*59^2*43541*144619266307*10634915356253119*56833519850647987*353681784890155781) (222 digits) [Thu Dec 24 17:40:13 2015] Using MODMULN [mulredc:0, sqrredc:1] Using B1=1000000, B2=1000000-1045563762, polynomial Dickson(6), sigma=1409078062 dF=4096, k=6, d=39270, d2=13, i0=13 Expected number of curves to find a factor of n digits: 35 40 45 50 55 60 65 70 75 80 910 8615 97096 1281819 1.9e+007 3.1e+008 6.2e+009 1.7e+011 2.3e+016 3.1e+021 Step 1 took 7125ms Using 27 small primes for NTT Estimated memory usage: 18M Initializing tables of differences for F took 15ms Computing roots of F took 125ms Building F from its roots took 203ms Computing 1/F took 125ms Initializing table of differences for G took 16ms Computing roots of G took 109ms Building G from its roots took 204ms Computing roots of G took 140ms Building G from its roots took 219ms Computing G * H took 62ms Reducing G * H mod F took 79ms Computing roots of G took 109ms Building G from its roots took 234ms Computing G * H took 63ms Reducing G * H mod F took 94ms Computing roots of G took 109ms Building G from its roots took 250ms Computing G * H took 62ms Reducing G * H mod F took 94ms Computing roots of G took 110ms Building G from its roots took 234ms Computing G * H took 62ms Reducing G * H mod F took 79ms Computing roots of G took 109ms Building G from its roots took 234ms Computing G * H took 63ms Reducing G * H mod F took 78ms Computing polyeval(F,G) took 406ms Computing product of all F(g_i) took 0ms Step 2 took 3719ms ********** Factor found in step 2: 21553758536380357206674923497094609 Found probable prime factor of 35 digits: 21553758536380357206674923497094609 Probable prime cofactor ((10^293+3)/(29*59^2*43541*144619266307*10634915356253119*56833519850647987*353681784890155781))/21553758536380357206674923497094609 has 188 digits |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 213 / 825 | Youcef Lemsafer | December 24, 2015 22:25:25 UTC 2015 年 12 月 25 日 (金) 7 時 25 分 25 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 960 | Youcef Lemsafer | December 24, 2015 22:31:33 UTC 2015 年 12 月 25 日 (金) 7 時 31 分 33 秒 (日本時間) | |
40 | 3e6 | 2200 | Youcef Lemsafer | January 26, 2016 06:28:50 UTC 2016 年 1 月 26 日 (火) 15 時 28 分 50 秒 (日本時間) | |
45 | 11e6 | 4113 | 512 | Youcef Lemsafer | January 26, 2016 19:43:21 UTC 2016 年 1 月 27 日 (水) 4 時 43 分 21 秒 (日本時間) |
3601 | Thomas Kozlowski | September 24, 2024 20:29:51 UTC 2024 年 9 月 25 日 (水) 5 時 29 分 51 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 960 | Youcef Lemsafer | December 24, 2015 22:32:34 UTC 2015 年 12 月 25 日 (金) 7 時 32 分 34 秒 (日本時間) | |
40 | 3e6 | 2200 | Youcef Lemsafer | January 27, 2016 07:51:03 UTC 2016 年 1 月 27 日 (水) 16 時 51 分 3 秒 (日本時間) | |
45 | 11e6 | 4112 | 512 | Youcef Lemsafer | January 27, 2016 20:54:26 UTC 2016 年 1 月 28 日 (木) 5 時 54 分 26 秒 (日本時間) |
3600 | Thomas Kozlowski | September 24, 2024 22:24:34 UTC 2024 年 9 月 25 日 (水) 7 時 24 分 34 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 600 | Dmitry Domanov | October 28, 2015 18:43:06 UTC 2015 年 10 月 29 日 (木) 3 時 43 分 6 秒 (日本時間) | |
45 | 11e6 | 0 | - | - | |
50 | 43e6 | 1500 / 6914 | Erik Branger | November 6, 2015 21:44:34 UTC 2015 年 11 月 7 日 (土) 6 時 44 分 34 秒 (日本時間) | |
55 | 11e7 | 256 / 17229 | 128 | Youcef Lemsafer | December 26, 2015 09:37:14 UTC 2015 年 12 月 26 日 (土) 18 時 37 分 14 秒 (日本時間) |
128 | Youcef Lemsafer | January 29, 2016 10:12:18 UTC 2016 年 1 月 29 日 (金) 19 時 12 分 18 秒 (日本時間) |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | November 18, 2015 14:41:13 UTC 2015 年 11 月 18 日 (水) 23 時 41 分 13 秒 (日本時間) |
composite number 合成数 | 2512108409307803435526839052298083473042660455710518967863554934485992739228850086555332331710275948102094994685891534849704551168404829316771029685873117988621527707527968151546601302029174695014169845923559652854955252121608882348830623<238> |
prime factors 素因数 | 20087724203194254045442860093151<32> |
composite cofactor 合成数の残り | 125056894643562457110055211354063082034119576152825331720342254121774024585545247589821788664374158737007592685852325914740501158151894132068239343071566515865057668801437149617170093688356571482347215140673<207> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1388239131 Step 1 took 47145ms Step 2 took 15232ms ********** Factor found in step 2: 20087724203194254045442860093151 Found probable prime factor of 32 digits: 20087724203194254045442860093151 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 2400 | 600 | Dmitry Domanov | November 18, 2015 12:12:49 UTC 2015 年 11 月 18 日 (水) 21 時 12 分 49 秒 (日本時間) |
1800 | Youcef Lemsafer | January 30, 2016 08:47:08 UTC 2016 年 1 月 30 日 (土) 17 時 47 分 8 秒 (日本時間) | |||
45 | 11e6 | 512 | Youcef Lemsafer | January 30, 2016 08:47:08 UTC 2016 年 1 月 30 日 (土) 17 時 47 分 8 秒 (日本時間) | |
50 | 43e6 | 0 / 2410 | - | - | |
55 | 11e7 | 2048 / 17718 | ivelive | March 13, 2023 16:29:02 UTC 2023 年 3 月 14 日 (火) 1 時 29 分 2 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 960 | Youcef Lemsafer | December 27, 2015 09:21:20 UTC 2015 年 12 月 27 日 (日) 18 時 21 分 20 秒 (日本時間) | |
40 | 3e6 | 2200 | Youcef Lemsafer | January 31, 2016 09:19:10 UTC 2016 年 1 月 31 日 (日) 18 時 19 分 10 秒 (日本時間) | |
45 | 11e6 | 4112 | 512 | Youcef Lemsafer | January 31, 2016 09:19:10 UTC 2016 年 1 月 31 日 (日) 18 時 19 分 10 秒 (日本時間) |
3600 | ebina | November 9, 2021 00:40:42 UTC 2021 年 11 月 9 日 (火) 9 時 40 分 42 秒 (日本時間) |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | October 31, 2015 23:04:02 UTC 2015 年 11 月 1 日 (日) 8 時 4 分 2 秒 (日本時間) |
composite number 合成数 | 2459945930388450061867640149269519055971149754128404257674416316329367080511570355683582074865994445442089182879760302868542949425971617143855178063186171167957728289132204874136866471674952584542191762625057501236122830020196156088489175007933325625502751449523139481394198955506957957064103731<295> |
prime factors 素因数 | 295282056924686380563583365091603977446117859823<48> |
composite cofactor 合成数の残り | 8330834443543162382997222296063085092934412319013749139975990083643907345129623222160187447606180997711670058353800258390604398325249442113829680357790298365251314948718781432032155953211667926365699389092534509523569798900197781609982236745798397<247> |
factorization results 素因数分解の結果 | Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=546977595 Step 1 took 190208ms Step 2 took 49310ms ********** Factor found in step 2: 295282056924686380563583365091603977446117859823 Found probable prime factor of 48 digits: 295282056924686380563583365091603977446117859823 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 1200 | Dmitry Domanov | October 28, 2015 12:20:08 UTC 2015 年 10 月 28 日 (水) 21 時 20 分 8 秒 (日本時間) | |
45 | 11e6 | 1200 | Dmitry Domanov | October 31, 2015 13:28:35 UTC 2015 年 10 月 31 日 (土) 22 時 28 分 35 秒 (日本時間) | |
50 | 43e6 | 1560 / 6930 | 600 | Dmitry Domanov | October 31, 2015 22:39:11 UTC 2015 年 11 月 1 日 (日) 7 時 39 分 11 秒 (日本時間) |
480 | Youcef Lemsafer | December 28, 2015 09:27:03 UTC 2015 年 12 月 28 日 (月) 18 時 27 分 3 秒 (日本時間) | |||
480 | Youcef Lemsafer | February 1, 2016 13:58:28 UTC 2016 年 2 月 1 日 (月) 22 時 58 分 28 秒 (日本時間) | |||
55 | 11e7 | 128 / 17128 | Dmitry Domanov | November 1, 2015 18:09:07 UTC 2015 年 11 月 2 日 (月) 3 時 9 分 7 秒 (日本時間) |