name 名前 | Serge Batalov |
---|---|
date 日付 | February 2, 2011 18:24:04 UTC 2011 年 2 月 3 日 (木) 3 時 24 分 4 秒 (日本時間) |
composite number 合成数 | 17543859649122807017543859649122807017543859649122807017543859649122807017542807017543859649122807017543859649122807017543859649122807017543859649122807<152> |
prime factors 素因数 | 12820844829655262936532946235252597129026961<44> 1368385615941858353844082171170062382888582852760714748038495639600783209467206999606995732553980620014785287<109> |
factorization results 素因数分解の結果 | SNFS difficulty: 153 digits. Divisors found: r1=12820844829655262936532946235252597129026961 (pp44) r2=1368385615941858353844082171170062382888582852760714748038495639600783209467206999606995732553980620014785287 (pp109) Version: Msieve v. 1.48 SVN488 LARGE_BLOCKS zlib option -D density Total time: 12.72 hours. Scaled time: 30.53 units (timescale=2.400). Factorization parameters were as follows: n: 17543859649122807017543859649122807017543859649122807017543859649122807017542807017543859649122807017543859649122807017543859649122807017543859649122807 m: 10000000000000000000000000 deg: 6 c6: 1000 c3: -60 c0: -1 skew: 0.32 type: snfs lss: 0 rlim: 2500000 alim: 2500000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 2500000/2500000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved algebraic special-q in [1562500, 2862501) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 419996 x 420221 Total sieving time: 12.51 hours. Total relation processing time: 0.05 hours. Matrix solve time: 0.10 hours. Time per square root: 0.06 hours. Prototype def-par.txt line would be: snfs,153.000,6,0,0,0,0,0,0,0,0,2500000,2500000,27,27,52,52,2.4,2.4,100000 total time: 12.72 hours. |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 118 | Makoto Kamada | February 2, 2011 02:00:00 UTC 2011 年 2 月 2 日 (水) 11 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 0 | - | - | |
45 | 11e6 | 800 / 4475 | Serge Batalov | February 2, 2011 08:34:39 UTC 2011 年 2 月 2 日 (水) 17 時 34 分 39 秒 (日本時間) |
name 名前 | Erik Branger |
---|---|
date 日付 | February 2, 2011 17:11:20 UTC 2011 年 2 月 3 日 (木) 2 時 11 分 20 秒 (日本時間) |
composite number 合成数 | 11885728850781348541530976665811629788848974233790727719802392737569031532654710300952858867695300441518761452160289589960925489634931129194267<143> |
prime factors 素因数 | 6426577552678077539920211001898751752500186731553998902703883479<64> 1849464781737262074848373978467708747990325740222551259367363488892804554535773<79> |
factorization results 素因数分解の結果 | Number: 33133_77 N = 11885728850781348541530976665811629788848974233790727719802392737569031532654710300952858867695300441518761452160289589960925489634931129194267 (143 digits) SNFS difficulty: 155 digits. Divisors found: r1=6426577552678077539920211001898751752500186731553998902703883479 (pp64) r2=1849464781737262074848373978467708747990325740222551259367363488892804554535773 (pp79) Version: Msieve v. 1.48 Total time: 33.63 hours. Factorization parameters were as follows: n: 11885728850781348541530976665811629788848974233790727719802392737569031532654710300952858867695300441518761452160289589960925489634931129194267 m: 10000000000000000000000000 deg: 6 c6: 100000 c3: -600 c0: -1 skew: 0.15 type: snfs lss: 1 rlim: 2700000 alim: 2700000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4 Factor base limits: 2700000/2700000 Large primes per side: 3 Large prime bits: 27/27 Sieved rational special-q in [1350000, 4150000) Relations: 8202115 Relations in full relation-set: 961246 relations Pruned matrix : 574778 x 575004 Polynomial selection time: 0.00 hours. Total sieving time: 33.20 hours. Total relation processing time: 0.05 hours. Matrix solve time: 0.30 hours. time per square root: 0.08 hours. |
software ソフトウェア | GGNFS, Msieve |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 0 | - | - | |
35 | 1e6 | 118 / 904 | Makoto Kamada | February 2, 2011 02:00:00 UTC 2011 年 2 月 2 日 (水) 11 時 0 分 0 秒 (日本時間) |
name 名前 | Serge Batalov |
---|---|
date 日付 | February 2, 2011 18:24:47 UTC 2011 年 2 月 3 日 (木) 3 時 24 分 47 秒 (日本時間) |
composite number 合成数 | 3333333333333333333333333333333333333333333333333333333333333333333333333333331333333333333333333333333333333333333333333333333333333333333333333333333333333<157> |
prime factors 素因数 | 26456309915934661595095198010268354132613277<44> 186452186915209049506903016909880816191527984821040073<54> 675743682675246078050766609607907455474328807930303822776273<60> |
factorization results 素因数分解の結果 | SNFS difficulty: 157 digits. Divisors found: r1=26456309915934661595095198010268354132613277 (pp44) r2=186452186915209049506903016909880816191527984821040073 (pp54) r3=675743682675246078050766609607907455474328807930303822776273 (pp60) Version: Msieve v. 1.48 SVN488 LARGE_BLOCKS zlib option -D density Total time: 17.45 hours. Scaled time: 41.89 units (timescale=2.400). Factorization parameters were as follows: n: 3333333333333333333333333333333333333333333333333333333333333333333333333333331333333333333333333333333333333333333333333333333333333333333333333333333333333 m: 100000000000000000000000000 deg: 6 c6: 10 c3: -6 c0: -1 skew: 0.68 type: snfs lss: 0 rlim: 2900000 alim: 2900000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 2900000/2900000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved algebraic special-q in [1812500, 3612501) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 578590 x 578815 Total sieving time: 16.53 hours. Total relation processing time: 0.05 hours. Matrix solve time: 0.24 hours. Time per square root: 0.63 hours. Prototype def-par.txt line would be: snfs,157.000,6,0,0,0,0,0,0,0,0,2900000,2900000,27,27,52,52,2.4,2.4,100000 total time: 17.45 hours. |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 118 | Makoto Kamada | February 2, 2011 02:00:00 UTC 2011 年 2 月 2 日 (水) 11 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 0 | - | - | |
45 | 11e6 | 800 / 4475 | Serge Batalov | February 2, 2011 08:34:25 UTC 2011 年 2 月 2 日 (水) 17 時 34 分 25 秒 (日本時間) |
name 名前 | Serge Batalov |
---|---|
date 日付 | February 2, 2011 06:25:04 UTC 2011 年 2 月 2 日 (水) 15 時 25 分 4 秒 (日本時間) |
composite number 合成数 | 613039105084339140990836207674595060853519278781031336312752519161136263393868119876132772494033647532394528010918111075178059<126> |
prime factors 素因数 | 63331211344873552744659039319883<32> 626842947974606870986851926181388219669883<42> 15442287695613547596489150259561562908840538399793331<53> |
factorization results 素因数分解の結果 | Input number is 613039105084339140990836207674595060853519278781031336312752519161136263393868119876132772494033647532394528010918111075178059 (126 digits) Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=3348596428 Step 1 took 5201ms Step 2 took 3792ms ********** Factor found in step 2: 63331211344873552744659039319883 Found probable prime factor of 32 digits: 63331211344873552744659039319883 Composite cofactor has 94 digits Divisors found: r1=626842947974606870986851926181388219669883 (pp42) r2=15442287695613547596489150259561562908840538399793331 (pp53) Version: Msieve v. 1.48 SVN488 LARGE_BLOCKS zlib option -D density Total time: 0.91 hours. Scaled time: 2.19 units (timescale=2.400). Factorization parameters were as follows: n: 9679889142590394840408709511903079015159948133437604249067492779713899760707954663036244950273 Y0: -81819718983943049718024 Y1: 1245825415567 c0: 2956656253421459817938052593 c1: 1384342061529735447054 c2: -1966253984924957 c3: -499776762 c4: 216 skew: 2420444.48 # size 7.358e-13, alpha -4.859, combined = 2.880e-08 rroots = 4 type: gnfs Factor base limits: 1000000/1000000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 44/44 Sieved algebraic special-q in [625000, 865001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 113821 x 114048 Total sieving time: 0.87 hours. Total relation processing time: 0.01 hours. Matrix solve time: 0.03 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: gnfs,93,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1000000,1000000,25,25,44,44,2.4,2.4,40000 total time: 0.91 hours. |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 0 | - | - | |
35 | 1e6 | 118 / 904 | Makoto Kamada | February 2, 2011 02:00:00 UTC 2011 年 2 月 2 日 (水) 11 時 0 分 0 秒 (日本時間) |
name 名前 | Sinkiti Sibata |
---|---|
date 日付 | February 4, 2011 22:50:00 UTC 2011 年 2 月 5 日 (土) 7 時 50 分 0 秒 (日本時間) |
composite number 合成数 | 14691147203529834329325072417292700451492819699097546795441066156716701001878083350950731804218558261296561844727810835737833135518733965977017949<146> |
prime factors 素因数 | 846221866630355336251455962590502812605294778513<48> 17360869274189043160905591505162624219415737885575721792161512753363378907827219541172506552610573<98> |
factorization results 素因数分解の結果 | Number: 33133_81 N=14691147203529834329325072417292700451492819699097546795441066156716701001878083350950731804218558261296561844727810835737833135518733965977017949 ( 146 digits) SNFS difficulty: 163 digits. Divisors found: r1=846221866630355336251455962590502812605294778513 (pp48) r2=17360869274189043160905591505162624219415737885575721792161512753363378907827219541172506552610573 (pp98) Version: Msieve v. 1.42 Total time: 2.76 hours. Scaled time: 2.36 units (timescale=0.853). Factorization parameters were as follows: name: 33133_81 n: 14691147203529834329325072417292700451492819699097546795441066156716701001878083350950731804218558261296561844727810835737833135518733965977017949 m: 1000000000000000000000000000 deg: 6 c6: 10 c3: -6 c0: -1 skew: 0.68 type: snfs lss: 1 rlim: 3600000 alim: 3600000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4 Factor base limits: 3600000/3600000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved rational special-q in [1800000, 5100001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 796770 x 797018 Total sieving time: 0.00 hours. Total relation processing time: 0.09 hours. Matrix solve time: 2.16 hours. Time per square root: 0.52 hours. Prototype def-par.txt line would be: snfs,163.000,6,0,0,0,0,0,0,0,0,3600000,3600000,27,27,51,51,2.4,2.4,100000 total time: 2.76 hours. --------- CPU info (if available) ---------- CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02 CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02 Memory: 3886124k/4718592k available (3786k kernel code, 656964k absent, 175504k reserved, 2294k data, 1304k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 5825.94 BogoMIPS (lpj=2912972) Calibrating delay using timer specific routine.. 5826.53 BogoMIPS (lpj=2913267) Total of 2 processors activated (11652.47 BogoMIPS). Total time: 34 hours. |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 0 | - | - | |
35 | 1e6 | 118 / 904 | Makoto Kamada | February 2, 2011 02:00:00 UTC 2011 年 2 月 2 日 (水) 11 時 0 分 0 秒 (日本時間) |
name 名前 | Sinkiti Sibata |
---|---|
date 日付 | February 8, 2011 12:05:39 UTC 2011 年 2 月 8 日 (火) 21 時 5 分 39 秒 (日本時間) |
composite number 合成数 | 45342404995199765749676094651391493631402277754313983150100945202134991729716809990076733001914358396745608127244469351903924459499727775335893405368291<152> |
prime factors 素因数 | 232508201771811661642483154787442346459001929<45> 143279483975356918817506824201918035614744297690382197<54> 1361075653930751916904875058768676964858148688534489407<55> |
factorization results 素因数分解の結果 | Number: 33133_83 N=45342404995199765749676094651391493631402277754313983150100945202134991729716809990076733001914358396745608127244469351903924459499727775335893405368291 ( 152 digits) SNFS difficulty: 167 digits. Divisors found: r1=232508201771811661642483154787442346459001929 (pp45) r2=143279483975356918817506824201918035614744297690382197 (pp54) r3=1361075653930751916904875058768676964858148688534489407 (pp55) Version: Msieve-1.40 Total time: 119.16 hours. Scaled time: 289.32 units (timescale=2.428). Factorization parameters were as follows: name: 33133_83 n: 45342404995199765749676094651391493631402277754313983150100945202134991729716809990076733001914358396745608127244469351903924459499727775335893405368291 m: 1000000000000000000000000000 deg: 6 c6: 100000 c3: -600 c0: -1 skew: 0.15 type: snfs lss: 1 rlim: 4300000 alim: 4300000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4 Factor base limits: 4300000/4300000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved rational special-q in [2150000, 8250001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 926716 x 926964 Total sieving time: 116.01 hours. Total relation processing time: 0.14 hours. Matrix solve time: 2.02 hours. Time per square root: 1.00 hours. Prototype def-par.txt line would be: snfs,167.000,6,0,0,0,0,0,0,0,0,4300000,4300000,27,27,51,51,2.4,2.4,100000 total time: 119.16 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 | 0 | - | - | |
35 | 1e6 | 118 / 904 | Makoto Kamada | February 2, 2011 02:00:00 UTC 2011 年 2 月 2 日 (水) 11 時 0 分 0 秒 (日本時間) |
name 名前 | Sinkiti Sibata |
---|---|
date 日付 | March 24, 2011 11:57:21 UTC 2011 年 3 月 24 日 (木) 20 時 57 分 21 秒 (日本時間) |
composite number 合成数 | 3647291441599702944689833533713741768601084386504187112682364742262029355742985267091156535226359604643356159586860240489806611495184632607023<142> |
prime factors 素因数 | 1420683760916679861826399118611842886863375547<46> 2567278899032625021528208906338731933401097652779710182377768806210403235856082110232444732129309<97> |
factorization results 素因数分解の結果 | Number: 33133_84 N=3647291441599702944689833533713741768601084386504187112682364742262029355742985267091156535226359604643356159586860240489806611495184632607023 ( 142 digits) SNFS difficulty: 169 digits. Divisors found: r1=1420683760916679861826399118611842886863375547 (pp46) r2=2567278899032625021528208906338731933401097652779710182377768806210403235856082110232444732129309 (pp97) Version: Msieve-1.40 Total time: 140.13 hours. Scaled time: 298.47 units (timescale=2.130). Factorization parameters were as follows: name: 33133_84 n: 3647291441599702944689833533713741768601084386504187112682364742262029355742985267091156535226359604643356159586860240489806611495184632607023 m: 10000000000000000000000000000 deg: 6 c6: 10 c3: -6 c0: -1 skew: 0.68 type: snfs lss: 1 rlim: 4600000 alim: 4600000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 4600000/4600000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved rational special-q in [2300000, 4600001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 917764 x 918012 Total sieving time: 137.73 hours. Total relation processing time: 0.14 hours. Matrix solve time: 2.11 hours. Time per square root: 0.14 hours. Prototype def-par.txt line would be: snfs,169.000,6,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000 total time: 140.13 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 | |
---|---|---|---|---|---|
35 | 1e6 | 118 | Makoto Kamada | February 2, 2011 02:00:00 UTC 2011 年 2 月 2 日 (水) 11 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 300 / 2318 | Dmitry Domanov | February 8, 2011 12:54:08 UTC 2011 年 2 月 8 日 (火) 21 時 54 分 8 秒 (日本時間) |
name 名前 | Sinkiti Sibata |
---|---|
date 日付 | April 2, 2011 08:18:24 UTC 2011 年 4 月 2 日 (土) 17 時 18 分 24 秒 (日本時間) |
composite number 合成数 | 298684664294963686559713464469730204344933307757289257885324704185663804012534640243984392046470846540232776237332305552378604883046683952214289<144> |
prime factors 素因数 | 54893765227374039691394621466061181640391694388282097833523<59> 5441140046739182375375451570209042783837138403729265569743346316076955477804393033643<85> |
factorization results 素因数分解の結果 | Number: 33133_85 N=298684664294963686559713464469730204344933307757289257885324704185663804012534640243984392046470846540232776237332305552378604883046683952214289 ( 144 digits) SNFS difficulty: 171 digits. Divisors found: r1=54893765227374039691394621466061181640391694388282097833523 (pp59) r2=5441140046739182375375451570209042783837138403729265569743346316076955477804393033643 (pp85) Version: Msieve-1.40 Total time: 157.10 hours. Scaled time: 315.77 units (timescale=2.010). Factorization parameters were as follows: name: 33133_85 n: 298684664294963686559713464469730204344933307757289257885324704185663804012534640243984392046470846540232776237332305552378604883046683952214289 m: 10000000000000000000000000000 deg: 6 c6: 1000 c3: -60 c0: -1 skew: 0.32 type: snfs lss: 1 rlim: 5000000 alim: 5000000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 5000000/5000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved rational special-q in [2500000, 4700001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 860910 x 861158 Total sieving time: 154.70 hours. Total relation processing time: 0.17 hours. Matrix solve time: 1.86 hours. Time per square root: 0.37 hours. Prototype def-par.txt line would be: snfs,171.000,6,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.4,2.4,100000 total time: 157.10 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 | |
---|---|---|---|---|---|
35 | 1e6 | 118 | Makoto Kamada | February 2, 2011 02:00:00 UTC 2011 年 2 月 2 日 (水) 11 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 300 / 2318 | Dmitry Domanov | February 8, 2011 14:01:05 UTC 2011 年 2 月 8 日 (火) 23 時 1 分 5 秒 (日本時間) |
name 名前 | Erik Branger |
---|---|
date 日付 | May 13, 2011 05:06:45 UTC 2011 年 5 月 13 日 (金) 14 時 6 分 45 秒 (日本時間) |
composite number 合成数 | 2199134011956363707520716040432307108108552441288418901414591835710709764097260859183376771266143152007221937835702878766691110239724019932873<142> |
prime factors 素因数 | 3028673497049928683648185892630481907037052792180922409<55> 726104683815678483637821124424292561210943457869601478369948227851568324538442624148897<87> |
factorization results 素因数分解の結果 | Number: 33133_86 N = 21991340119563637075207160404323071081085524412884189014145918357107097640972608591833767712661431520072 21937835702878766691110239724019932873 (142 digits) SNFS difficulty: 173 digits. Divisors found: r1=3028673497049928683648185892630481907037052792180922409 (pp55) r2=726104683815678483637821124424292561210943457869601478369948227851568324538442624148897 (pp87) Version: Msieve v. 1.48 Total time: 144.34 hours. Factorization parameters were as follows: n: 21991340119563637075207160404323071081085524412884189014145918357107097640972608591833767712661431520072 21937835702878766691110239724019932873 m: 10000000000000000000000000000 deg: 6 c6: 100000 c3: -600 c0: -1 skew: 0.15 type: snfs lss: 1 rlim: 5400000 alim: 5400000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 5400000/5400000 Large primes per side: 3 Large prime bits: 27/27 Sieved rational special-q in [2700000, 11400000) Relations: 11864435 Relations in full relation-set: 1940614 relations Pruned matrix : 1219677 x 1219902 Polynomial selection time: 0.00 hours. Total sieving time: 138.31 hours. Total relation processing time: 0.22 hours. Matrix solve time: 5.40 hours. time per square root: 0.42 hours. |
software ソフトウェア | GGNFS, Msieve |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 118 | Makoto Kamada | February 2, 2011 02:00:00 UTC 2011 年 2 月 2 日 (水) 11 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2318 | 300 | Dmitry Domanov | February 8, 2011 14:00:27 UTC 2011 年 2 月 8 日 (火) 23 時 0 分 27 秒 (日本時間) |
2018 | Wataru Sakai | April 18, 2011 07:37:06 UTC 2011 年 4 月 18 日 (月) 16 時 37 分 6 秒 (日本時間) |
name 名前 | Warut Roonguthai |
---|---|
date 日付 | October 26, 2011 19:14:30 UTC 2011 年 10 月 27 日 (木) 4 時 14 分 30 秒 (日本時間) |
composite number 合成数 | 86313246874830117533618487277685510854611765482837759516126357229029566810185245046804827481805368432182306975001318466084069783<128> |
prime factors 素因数 | 4965983285809751421432601138042115028320318547463<49> 17380897580036037316708336193273126524735947468655436728294770905452052495942641<80> |
factorization results 素因数分解の結果 | N = 86313246874830117533618487277685510854611765482837759516126357229029566810185245046804827481805368432182306975001318466084069783 (128 digits) SNFS difficulty: 175 digits. Divisors found: r1=4965983285809751421432601138042115028320318547463 (pp49) r2=17380897580036037316708336193273126524735947468655436728294770905452052495942641 (pp80) Version: Msieve v. 1.48 Total time: 45.90 hours. Factorization parameters were as follows: name: (10^175-6*10^87-1)/3 n: 86313246874830117533618487277685510854611765482837759516126357229029566810185245046804827481805368432182306975001318466084069783 Y0: 100000000000000000000000000000 Y1: -1 c0: -1 c1: 0 c2: 0 c3: -6 c4: 0 c5: 0 c6: 10 skew: 0.68 type: snfs Factor base limits: 5800000/5800000 Large primes per side: 3 Large prime bits: 28/28 Sieved rational special-q in [0, 0) Total raw relations: 20660435 Relations: 2411328 relations Pruned matrix : 1390330 x 1390555 Polynomial selection time: 0.00 hours. Total sieving time: 43.18 hours. Total relation processing time: 0.12 hours. Matrix solve time: 2.46 hours. time per square root: 0.14 hours. Prototype def-par.txt line would be: snfs,175,6,0,0,0,0,0,0,0,0,5800000,5800000,28,28,55,55,2.5,2.5,100000 total time: 45.90 hours. Intel64 Family 6 Model 42 Stepping 7, GenuineIntel Windows-7-6.1.7601-SP1 processors: 4, speed: 2.29GHz |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 118 | Makoto Kamada | February 2, 2011 02:00:00 UTC 2011 年 2 月 2 日 (水) 11 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2318 | 300 | Dmitry Domanov | February 10, 2011 09:33:00 UTC 2011 年 2 月 10 日 (木) 18 時 33 分 0 秒 (日本時間) |
2018 | Wataru Sakai | April 18, 2011 07:36:39 UTC 2011 年 4 月 18 日 (月) 16 時 36 分 39 秒 (日本時間) | |||
45 | 11e6 | 220 / 3573 | Ignacio Santos | August 29, 2011 13:07:42 UTC 2011 年 8 月 29 日 (月) 22 時 7 分 42 秒 (日本時間) | |
50 | 43e6 | 61 / 7358 | Ignacio Santos | August 29, 2011 13:07:42 UTC 2011 年 8 月 29 日 (月) 22 時 7 分 42 秒 (日本時間) | |
55 | 11e7 | 24 / 17716 | Ignacio Santos | August 29, 2011 13:07:42 UTC 2011 年 8 月 29 日 (月) 22 時 7 分 42 秒 (日本時間) |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | October 4, 2011 20:59:01 UTC 2011 年 10 月 5 日 (水) 5 時 59 分 1 秒 (日本時間) |
composite number 合成数 | 72213288872317170001900461826696761293920700404022164961667182109865052527238606968311642218297825123609915277988630321281038676086744231295699701869095550449343013<164> |
prime factors 素因数 | 641511741836454467912792207996293084652159374001<48> 112567368861546201032777076288127417125628536290430253711406015233943584282674287005360839771118288194974771483481013<117> |
factorization results 素因数分解の結果 | N=72213288872317170001900461826696761293920700404022164961667182109865052527238606968311642218297825123609915277988630321281038676086744231295699701869095550449343013 ( 164 digits) SNFS difficulty: 177 digits. Divisors found: r1=641511741836454467912792207996293084652159374001 (pp48) r2=112567368861546201032777076288127417125628536290430253711406015233943584282674287005360839771118288194974771483481013 (pp117) Version: Msieve-1.40 Total time: 157.76 hours. Scaled time: 301.49 units (timescale=1.911). Factorization parameters were as follows: n: 72213288872317170001900461826696761293920700404022164961667182109865052527238606968311642218297825123609915277988630321281038676086744231295699701869095550449343013 m: 100000000000000000000000000000 deg: 6 c6: 1000 c3: -60 c0: -1 skew: 0.32 type: snfs lss: 1 rlim: 6200000 alim: 6200000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 qintsize: 360000Factor base limits: 6200000/6200000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved rational special-q in [3100000, 5980001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 1167235 x 1167469 Total sieving time: 155.90 hours. Total relation processing time: 0.16 hours. Matrix solve time: 1.50 hours. Time per square root: 0.20 hours. Prototype def-par.txt line would be: snfs,177.000,6,0,0,0,0,0,0,0,0,6200000,6200000,28,28,53,53,2.5,2.5,100000 total time: 157.76 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 | |
---|---|---|---|---|---|
35 | 1e6 | 418 | 118 | Makoto Kamada | February 2, 2011 02:00:00 UTC 2011 年 2 月 2 日 (水) 11 時 0 分 0 秒 (日本時間) |
300 | Ignacio Santos | February 13, 2011 22:14:07 UTC 2011 年 2 月 14 日 (月) 7 時 14 分 7 秒 (日本時間) | |||
40 | 3e6 | 2126 | 110 | Ignacio Santos | February 13, 2011 22:14:07 UTC 2011 年 2 月 14 日 (月) 7 時 14 分 7 秒 (日本時間) |
2016 | Wataru Sakai | September 21, 2011 03:38:01 UTC 2011 年 9 月 21 日 (水) 12 時 38 分 1 秒 (日本時間) | |||
45 | 11e6 | 32 / 3991 | Ignacio Santos | February 13, 2011 22:14:07 UTC 2011 年 2 月 14 日 (月) 7 時 14 分 7 秒 (日本時間) |
name 名前 | Jo Yeong Uk |
---|---|
date 日付 | February 14, 2012 01:26:19 UTC 2012 年 2 月 14 日 (火) 10 時 26 分 19 秒 (日本時間) |
composite number 合成数 | 80656887626018013331769544621490886769254435616340904027530763927463386573622327295263213452874741667961112869770959577035883991535295247043420908382792881<155> |
prime factors 素因数 | 2745153327253460069708257924736234158737562678019928636925171<61> 29381560157412278868361532046208757676278358914844628985932523236855268721026380890737506296011<95> |
factorization results 素因数分解の結果 | Number: 33133_89 N=80656887626018013331769544621490886769254435616340904027530763927463386573622327295263213452874741667961112869770959577035883991535295247043420908382792881 ( 155 digits) SNFS difficulty: 180 digits. Divisors found: r1=2745153327253460069708257924736234158737562678019928636925171 r2=29381560157412278868361532046208757676278358914844628985932523236855268721026380890737506296011 Version: Total time: 101.71 hours. Scaled time: 374.18 units (timescale=3.679). Factorization parameters were as follows: n: 80656887626018013331769544621490886769254435616340904027530763927463386573622327295263213452874741667961112869770959577035883991535295247043420908382792881 m: 1000000000000000000000000000000 deg: 6 c6: 1 c3: -6 c0: -10 skew: 1.47 type: snfs lss: 1 rlim: 5400000 alim: 5400000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 5400000/5400000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved rational special-q in [2700000, 6800001) Primes: rational ideals reading, algebraic ideals reading, Relations: 18185812 Max relations in full relation-set: Initial matrix: Pruned matrix : 1305443 x 1305691 Total sieving time: 97.05 hours. Total relation processing time: 1.63 hours. Matrix solve time: 2.91 hours. Time per square root: 0.12 hours. Prototype def-par.txt line would be: snfs,180,6,0,0,0,0,0,0,0,0,5400000,5400000,28,28,53,53,2.5,2.5,100000 total time: 101.71 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7 CPU 980 @ 3.33GHz stepping 02 Memory: 24581148k/26214400k available (5084k kernel code, 1057688k absent, 575564k reserved, 7228k data, 1244k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 6665.15 BogoMIPS (lpj=3332576) Total of 12 processors activated (79996.07 BogoMIPS). |
software ソフトウェア | GGNFS / Msieve v1.39 |
execution environment 実行環境 | Core i7 980 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 418 | 118 | Makoto Kamada | February 2, 2011 02:00:00 UTC 2011 年 2 月 2 日 (水) 11 時 0 分 0 秒 (日本時間) |
300 | Ignacio Santos | February 13, 2011 23:03:05 UTC 2011 年 2 月 14 日 (月) 8 時 3 分 5 秒 (日本時間) | |||
40 | 3e6 | 2126 | 110 | Ignacio Santos | February 13, 2011 23:03:05 UTC 2011 年 2 月 14 日 (月) 8 時 3 分 5 秒 (日本時間) |
1000 | Dmitry Domanov | January 10, 2012 09:04:43 UTC 2012 年 1 月 10 日 (火) 18 時 4 分 43 秒 (日本時間) | |||
1016 | Jo Yeong Uk | February 7, 2012 08:51:44 UTC 2012 年 2 月 7 日 (火) 17 時 51 分 44 秒 (日本時間) | |||
45 | 11e6 | 32 / 3991 | Ignacio Santos | February 13, 2011 23:03:05 UTC 2011 年 2 月 14 日 (月) 8 時 3 分 5 秒 (日本時間) |
name 名前 | Serge Batalov |
---|---|
date 日付 | February 19, 2011 19:29:55 UTC 2011 年 2 月 20 日 (日) 4 時 29 分 55 秒 (日本時間) |
composite number 合成数 | 367511944138184490995957368614479970599044468945240720323410510841602352076442484380742374105108416023520764424843807423741271591326718118338846012495406100698272693862550532892319<180> |
prime factors 素因数 | 335270506800866383731617687965899855431<39> |
composite cofactor 合成数の残り | 1096165444568817620457695071299554784245952688214291524124030703578293331905465914070502500981095106181319016780764000561548894772553327190249<142> |
factorization results 素因数分解の結果 | Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=2731368604 Step 1 took 56287ms Step 2 took 27818ms ********** Factor found in step 2: 335270506800866383731617687965899855431 Found probable prime factor of 39 digits: 335270506800866383731617687965899855431 Composite cofactor 1096165444568817620457695071299554784245952688214291524124030703578293331905465914070502500981095106181319016780764000561548894772553327190249 has 142 digits |
name 名前 | Jo Yeong Uk |
---|---|
date 日付 | February 18, 2012 03:22:13 UTC 2012 年 2 月 18 日 (土) 12 時 22 分 13 秒 (日本時間) |
composite number 合成数 | 1096165444568817620457695071299554784245952688214291524124030703578293331905465914070502500981095106181319016780764000561548894772553327190249<142> |
prime factors 素因数 | 10441017987263065970622089391533661678887023353516000836499921051659<68> 104986453036095057661697362350791697141646622783621142350938901572756658011<75> |
factorization results 素因数分解の結果 | Number: 33133_91 N=1096165444568817620457695071299554784245952688214291524124030703578293331905465914070502500981095106181319016780764000561548894772553327190249 ( 142 digits) SNFS difficulty: 183 digits. Divisors found: r1=10441017987263065970622089391533661678887023353516000836499921051659 r2=104986453036095057661697362350791697141646622783621142350938901572756658011 Version: Total time: 115.70 hours. Scaled time: 425.55 units (timescale=3.678). Factorization parameters were as follows: n: 1096165444568817620457695071299554784245952688214291524124030703578293331905465914070502500981095106181319016780764000561548894772553327190249 m: 1000000000000000000000000000000 deg: 6 c6: 1000 c3: -60 c0: -1 skew: 0.32 type: snfs lss: 1 rlim: 9000000 alim: 9000000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 9000000/9000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved rational special-q in [4500000, 8600001) Primes: rational ideals reading, algebraic ideals reading, Relations: 19194870 Max relations in full relation-set: Initial matrix: Pruned matrix : 1458429 x 1458677 Total sieving time: 109.97 hours. Total relation processing time: 1.66 hours. Matrix solve time: 3.92 hours. Time per square root: 0.16 hours. Prototype def-par.txt line would be: snfs,183,6,0,0,0,0,0,0,0,0,9000000,9000000,28,28,53,53,2.5,2.5,100000 total time: 115.70 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7 CPU 980 @ 3.33GHz stepping 02 Memory: 24581148k/26214400k available (5084k kernel code, 1057688k absent, 575564k reserved, 7228k data, 1244k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 6665.15 BogoMIPS (lpj=3332576) Total of 12 processors activated (79996.07 BogoMIPS). |
software ソフトウェア | GGNFS / Msieve v1.39 |
execution environment 実行環境 | Core i7 980 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 118 | Makoto Kamada | February 2, 2011 02:00:00 UTC 2011 年 2 月 2 日 (水) 11 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2318 | 300 | Dmitry Domanov | February 6, 2011 22:23:38 UTC 2011 年 2 月 7 日 (月) 7 時 23 分 38 秒 (日本時間) |
1000 | Dmitry Domanov | January 10, 2012 09:04:55 UTC 2012 年 1 月 10 日 (火) 18 時 4 分 55 秒 (日本時間) | |||
1018 | Jo Yeong Uk | February 7, 2012 08:51:54 UTC 2012 年 2 月 7 日 (火) 17 時 51 分 54 秒 (日本時間) |
name 名前 | Jo Yeong Uk |
---|---|
date 日付 | January 26, 2012 10:58:49 UTC 2012 年 1 月 26 日 (木) 19 時 58 分 49 秒 (日本時間) |
composite number 合成数 | 288357892143954986547518415639363248095675707825015433109368094320282735315557137317519050663770862914180091233073518768816107192981227982429269222548123<153> |
prime factors 素因数 | 191283519418065529953826171732378581736651<42> 1507489474374034286474638275193825266134483509820918546326140629585966313806580191397819428764748771017448482673<112> |
factorization results 素因数分解の結果 | GMP-ECM 6.3 [configured with GMP 5.0.2 and --enable-asm-redc] [ECM] Input number is 288357892143954986547518415639363248095675707825015433109368094320282735315557137317519050663770862914180091233073518768816107192981227982429269222548123 (153 digits) Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1359889391 Step 1 took 8831ms Step 2 took 3985ms ********** Factor found in step 2: 191283519418065529953826171732378581736651 Found probable prime factor of 42 digits: 191283519418065529953826171732378581736651 Probable prime cofactor 1507489474374034286474638275193825266134483509820918546326140629585966313806580191397819428764748771017448482673 has 112 digits |
execution environment 実行環境 | Core i7 980 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 118 | Makoto Kamada | February 2, 2011 02:00:00 UTC 2011 年 2 月 2 日 (水) 11 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 1300 / 2318 | 300 | Dmitry Domanov | February 2, 2011 13:42:33 UTC 2011 年 2 月 2 日 (水) 22 時 42 分 33 秒 (日本時間) |
1000 | Dmitry Domanov | January 10, 2012 09:05:05 UTC 2012 年 1 月 10 日 (火) 18 時 5 分 5 秒 (日本時間) |
name 名前 | Jo Yeong Uk |
---|---|
date 日付 | March 6, 2012 03:18:25 UTC 2012 年 3 月 6 日 (火) 12 時 18 分 25 秒 (日本時間) |
composite number 合成数 | 5580385653878266177542493467903282738432816786808216815232923051162922431087780112973400347970035103679371970271216932050076621655166553011937<142> |
prime factors 素因数 | 2571617136931015947773352786391777003924052718162643<52> 2169990848846937412359722161022740228509449763445143597201470826109310587577299348457912059<91> |
factorization results 素因数分解の結果 | Number: 33133_96 N=5580385653878266177542493467903282738432816786808216815232923051162922431087780112973400347970035103679371970271216932050076621655166553011937 ( 142 digits) SNFS difficulty: 193 digits. Divisors found: r1=2571617136931015947773352786391777003924052718162643 r2=2169990848846937412359722161022740228509449763445143597201470826109310587577299348457912059 Version: Total time: 250.90 hours. Scaled time: 920.31 units (timescale=3.668). Factorization parameters were as follows: n: 5580385653878266177542493467903282738432816786808216815232923051162922431087780112973400347970035103679371970271216932050076621655166553011937 m: 100000000000000000000000000000000 deg: 6 c6: 10 c3: -6 c0: -1 skew: 0.68 type: snfs lss: 1 rlim: 13000000 alim: 13000000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 13000000/13000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved rational special-q in [6500000, 15000001) Primes: rational ideals reading, algebraic ideals reading, Relations: 23340803 Max relations in full relation-set: Initial matrix: Pruned matrix : 2333396 x 2333644 Total sieving time: 233.10 hours. Total relation processing time: 4.35 hours. Matrix solve time: 12.29 hours. Time per square root: 1.16 hours. Prototype def-par.txt line would be: snfs,193,6,0,0,0,0,0,0,0,0,13000000,13000000,28,28,55,55,2.5,2.5,100000 total time: 250.90 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7 CPU 980 @ 3.33GHz stepping 02 Memory: 24581152k/26214400k available (5084k kernel code, 1057684k absent, 575564k reserved, 7229k data, 1244k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 6666.70 BogoMIPS (lpj=3333351) Total of 12 processors activated (79997.61 BogoMIPS). |
software ソフトウェア | GGNFS / Msieve v1.39 |
execution environment 実行環境 | Core i7 980 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 118 | Makoto Kamada | February 2, 2011 02:00:00 UTC 2011 年 2 月 2 日 (水) 11 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2318 | 300 | Dmitry Domanov | February 2, 2011 13:42:43 UTC 2011 年 2 月 2 日 (水) 22 時 42 分 43 秒 (日本時間) |
1000 | Dmitry Domanov | January 10, 2012 09:05:16 UTC 2012 年 1 月 10 日 (火) 18 時 5 分 16 秒 (日本時間) | |||
1018 | Jo Yeong Uk | February 7, 2012 08:52:04 UTC 2012 年 2 月 7 日 (火) 17 時 52 分 4 秒 (日本時間) | |||
45 | 11e6 | 3963 | Jo Yeong Uk | February 28, 2012 08:43:11 UTC 2012 年 2 月 28 日 (火) 17 時 43 分 11 秒 (日本時間) |
name 名前 | Serge Batalov |
---|---|
date 日付 | February 2, 2011 05:42:22 UTC 2011 年 2 月 2 日 (水) 14 時 42 分 22 秒 (日本時間) |
composite number 合成数 | 361297586473994580005837196952448469523812945926058585807702741488888643096895689897777563263723449430068740249190821148706045689278202015914688660521<150> |
prime factors 素因数 | 697770222236518195885406484378127<33> 517788771948379467839896320228198608607087942000360683176432278121671395527060399492531169341689027149907435732106823<117> |
factorization results 素因数分解の結果 | Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=288491134 Step 1 took 6308ms Step 2 took 4457ms ********** Factor found in step 2: 697770222236518195885406484378127 Found probable prime factor of 33 digits: 697770222236518195885406484378127 Probable prime cofactor 517788771948379467839896320228198608607087942000360683176432278121671395527060399492531169341689027149907435732106823 has 117 digits |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 0 | - | - | |
35 | 1e6 | 118 / 904 | Makoto Kamada | February 2, 2011 02:00:00 UTC 2011 年 2 月 2 日 (水) 11 時 0 分 0 秒 (日本時間) |
name 名前 | Jo Yeong Uk |
---|---|
date 日付 | April 2, 2012 10:29:55 UTC 2012 年 4 月 2 日 (月) 19 時 29 分 55 秒 (日本時間) |
composite number 合成数 | 249397951769119210000159591479533625547884437577392409200934649044722852136099097975018180061135013054822958725677479289250300888490492706197087633167815932586467955159<168> |
prime factors 素因数 | 862120611659555151813725643478485989848467743535727951<54> 45929009393129468791999339116219197559570028503343213861<56> 6298509307950248674638668338890342157526887707194483955269<58> |
factorization results 素因数分解の結果 | Number: 33133_98 N=249397951769119210000159591479533625547884437577392409200934649044722852136099097975018180061135013054822958725677479289250300888490492706197087633167815932586467955159 ( 168 digits) SNFS difficulty: 198 digits. Divisors found: r1=862120611659555151813725643478485989848467743535727951 r2=45929009393129468791999339116219197559570028503343213861 r3=6298509307950248674638668338890342157526887707194483955269 Version: Total time: 310.92 hours. Scaled time: 1134.53 units (timescale=3.649). Factorization parameters were as follows: n: 249397951769119210000159591479533625547884437577392409200934649044722852136099097975018180061135013054822958725677479289250300888490492706197087633167815932586467955159 m: 1000000000000000000000000000000000 deg: 6 c6: 1 c3: -6 c0: -10 skew: 1.47 type: snfs lss: 1 rlim: 16000000 alim: 16000000 lpbr: 29 lpba: 29 mfbr: 55 mfba: 55 rlambda: 2.6 alambda: 2.6 Factor base limits: 16000000/16000000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 55/55 Sieved rational special-q in [8000000, 17800001) Primes: rational ideals reading, algebraic ideals reading, Relations: 34968447 Max relations in full relation-set: Initial matrix: Pruned matrix : 2854037 x 2854284 Total sieving time: 283.98 hours. Total relation processing time: 6.29 hours. Matrix solve time: 19.54 hours. Time per square root: 1.11 hours. Prototype def-par.txt line would be: snfs,198,6,0,0,0,0,0,0,0,0,16000000,16000000,29,29,55,55,2.6,2.6,100000 total time: 310.92 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7 CPU 980 @ 3.33GHz stepping 02 Memory: 24581152k/26214400k available (5084k kernel code, 1057684k absent, 575564k reserved, 7229k data, 1244k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 6666.81 BogoMIPS (lpj=3333405) Total of 12 processors activated (79997.71 BogoMIPS). |
software ソフトウェア | GGNFS / Msieve v1.39 |
execution environment 実行環境 | Core i7 980 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 118 | Makoto Kamada | February 2, 2011 02:00:00 UTC 2011 年 2 月 2 日 (水) 11 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2318 | 300 | Dmitry Domanov | February 2, 2011 13:43:04 UTC 2011 年 2 月 2 日 (水) 22 時 43 分 4 秒 (日本時間) |
1000 | Dmitry Domanov | January 10, 2012 09:05:28 UTC 2012 年 1 月 10 日 (火) 18 時 5 分 28 秒 (日本時間) | |||
1018 | Jo Yeong Uk | February 7, 2012 08:52:12 UTC 2012 年 2 月 7 日 (火) 17 時 52 分 12 秒 (日本時間) | |||
45 | 11e6 | 3963 | Jo Yeong Uk | March 11, 2012 07:52:10 UTC 2012 年 3 月 11 日 (日) 16 時 52 分 10 秒 (日本時間) |
name 名前 | Serge Batalov |
---|---|
date 日付 | January 3, 2012 07:38:02 UTC 2012 年 1 月 3 日 (火) 16 時 38 分 2 秒 (日本時間) |
composite number 合成数 | 3333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<205> |
prime factors 素因数 | 32852278776382125262970666896845735550757<41> 101464295856691206552087053870575278561409846332389692303565932407326820133059664598192839957819450074736815096818686363576467291557008356291514265471162202915872369<165> |
factorization results 素因数分解の結果 | Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=1954905125 Step 1 took 56935ms Step 2 took 33750ms ********** Factor found in step 2: 32852278776382125262970666896845735550757 Found probable prime factor of 41 digits: 32852278776382125262970666896845735550757 Probable prime cofactor 101464295856691206552087053870575278561409846332389692303565932407326820133059664598192839957819450074736815096818686363576467291557008356291514265471162202915872369 has 165 digits |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1018 | 118 | Makoto Kamada | January 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間) |
900 | Serge Batalov | January 3, 2012 06:26:05 UTC 2012 年 1 月 3 日 (火) 15 時 26 分 5 秒 (日本時間) | |||
40 | 3e6 | 600 / 1038 | Serge Batalov | January 3, 2012 06:26:52 UTC 2012 年 1 月 3 日 (火) 15 時 26 分 52 秒 (日本時間) | |
45 | 11e6 | 300 / 4301 | Serge Batalov | January 3, 2012 06:26:05 UTC 2012 年 1 月 3 日 (火) 15 時 26 分 5 秒 (日本時間) |
name 名前 | Youcef Lemsafer |
---|---|
date 日付 | December 27, 2013 06:59:39 UTC 2013 年 12 月 27 日 (金) 15 時 59 分 39 秒 (日本時間) |
composite number 合成数 | 616476982322630534469968439964873085890225256480483358573971300010510403007297232515622974526726298155808969832322854408680926022879494360161415628799746712993731918981061421727<177> |
prime factors 素因数 | 996085973694204921652597074057714681833188460153<48> 2327406281131039812522882776305890105861131349626214400159<58> 265918063278399490272370385528255465322285212423431651749367542382496201<72> |
factorization results 素因数分解の結果 | <Sieving:> < Using gnfs-lasieve4I14e> < 1098 core.hours on Intel Xeon W3530 @ 2.8GHz> < + 71.5 core.hours on 2 x Intel Xeon E5-2620 @ 2.0GHz> <Post-processing using msieve 1.51 (SVN 845), 8 threads on Intel Xeon W3530 @ 2.8GHz> Wed Dec 25 21:09:21 2013 Msieve v. 1.51 (SVN 845) Wed Dec 25 21:09:21 2013 random seeds: 0b02f4c0 9fa29082 Wed Dec 25 21:09:21 2013 factoring 616476982322630534469968439964873085890225256480483358573971300010510403007297232515622974526726298155808969832322854408680926022879494360161415628799746712993731918981061421727 (177 digits) Wed Dec 25 21:09:22 2013 searching for 15-digit factors Wed Dec 25 21:09:23 2013 commencing number field sieve (177-digit input) Wed Dec 25 21:09:23 2013 R0: -100000000000000000000000000000000000 Wed Dec 25 21:09:23 2013 R1: 1 Wed Dec 25 21:09:23 2013 A0: -10 Wed Dec 25 21:09:23 2013 A1: 0 Wed Dec 25 21:09:23 2013 A2: 0 Wed Dec 25 21:09:23 2013 A3: -6 Wed Dec 25 21:09:23 2013 A4: 0 Wed Dec 25 21:09:23 2013 A5: 0 Wed Dec 25 21:09:23 2013 A6: 1 Wed Dec 25 21:09:23 2013 skew 1.47, size 1.715e-010, alpha 2.240, combined = 4.890e-012 rroots = 2 Wed Dec 25 21:09:23 2013 Wed Dec 25 21:09:23 2013 commencing relation filtering Wed Dec 25 21:09:23 2013 estimated available RAM is 4096.0 MB Wed Dec 25 21:09:23 2013 commencing duplicate removal, pass 1 Wed Dec 25 21:09:54 2013 error -9 reading relation 5769028 Wed Dec 25 21:09:54 2013 error -9 reading relation 5795980 Wed Dec 25 21:11:44 2013 error -9 reading relation 26583449 Wed Dec 25 21:11:44 2013 error -5 reading relation 26594101 Wed Dec 25 21:11:44 2013 error -11 reading relation 26594626 Wed Dec 25 21:11:44 2013 error -15 reading relation 26605276 Wed Dec 25 21:11:44 2013 error -11 reading relation 26605838 Wed Dec 25 21:13:30 2013 found 6776309 hash collisions in 45003239 relations Wed Dec 25 21:14:03 2013 added 3 free relations Wed Dec 25 21:14:03 2013 commencing duplicate removal, pass 2 Wed Dec 25 21:14:37 2013 found 6146822 duplicates and 38856420 unique relations Wed Dec 25 21:14:37 2013 memory use: 213.2 MB Wed Dec 25 21:14:37 2013 reading ideals above 27459584 Wed Dec 25 21:14:37 2013 commencing singleton removal, initial pass Wed Dec 25 21:18:46 2013 memory use: 753.0 MB Wed Dec 25 21:18:46 2013 reading all ideals from disk Wed Dec 25 21:18:47 2013 memory use: 683.3 MB Wed Dec 25 21:18:48 2013 commencing in-memory singleton removal Wed Dec 25 21:18:50 2013 begin with 38856420 relations and 38666963 unique ideals Wed Dec 25 21:19:07 2013 reduce to 16319073 relations and 12710295 ideals in 19 passes Wed Dec 25 21:19:07 2013 max relations containing the same ideal: 30 Wed Dec 25 21:19:08 2013 reading ideals above 720000 Wed Dec 25 21:19:09 2013 commencing singleton removal, initial pass Wed Dec 25 21:21:27 2013 memory use: 376.5 MB Wed Dec 25 21:21:27 2013 reading all ideals from disk Wed Dec 25 21:21:28 2013 memory use: 568.4 MB Wed Dec 25 21:21:29 2013 keeping 16013894 ideals with weight <= 200, target excess is 116302 Wed Dec 25 21:21:31 2013 commencing in-memory singleton removal Wed Dec 25 21:21:32 2013 begin with 16319077 relations and 16013894 unique ideals Wed Dec 25 21:21:50 2013 reduce to 16300634 relations and 15995432 ideals in 11 passes Wed Dec 25 21:21:50 2013 max relations containing the same ideal: 200 Wed Dec 25 21:21:58 2013 removing 1126470 relations and 1041324 ideals in 85146 cliques Wed Dec 25 21:21:59 2013 commencing in-memory singleton removal Wed Dec 25 21:22:00 2013 begin with 15174164 relations and 15995432 unique ideals Wed Dec 25 21:22:16 2013 reduce to 15103776 relations and 14883097 ideals in 10 passes Wed Dec 25 21:22:16 2013 max relations containing the same ideal: 193 Wed Dec 25 21:22:23 2013 removing 815220 relations and 730074 ideals in 85146 cliques Wed Dec 25 21:22:23 2013 commencing in-memory singleton removal Wed Dec 25 21:22:25 2013 begin with 14288556 relations and 14883097 unique ideals Wed Dec 25 21:22:36 2013 reduce to 14249205 relations and 14113397 ideals in 8 passes Wed Dec 25 21:22:36 2013 max relations containing the same ideal: 185 Wed Dec 25 21:22:47 2013 relations with 0 large ideals: 1648 Wed Dec 25 21:22:47 2013 relations with 1 large ideals: 204 Wed Dec 25 21:22:47 2013 relations with 2 large ideals: 5418 Wed Dec 25 21:22:47 2013 relations with 3 large ideals: 60292 Wed Dec 25 21:22:47 2013 relations with 4 large ideals: 364714 Wed Dec 25 21:22:47 2013 relations with 5 large ideals: 1308726 Wed Dec 25 21:22:47 2013 relations with 6 large ideals: 2895463 Wed Dec 25 21:22:47 2013 relations with 7+ large ideals: 9612740 Wed Dec 25 21:22:47 2013 commencing 2-way merge Wed Dec 25 21:22:58 2013 reduce to 8232243 relation sets and 8096440 unique ideals Wed Dec 25 21:22:58 2013 ignored 5 oversize relation sets Wed Dec 25 21:22:58 2013 commencing full merge Wed Dec 25 21:25:18 2013 memory use: 857.3 MB Wed Dec 25 21:25:20 2013 found 4327061 cycles, need 4312640 Wed Dec 25 21:25:20 2013 weight of 4312640 cycles is about 301907123 (70.01/cycle) Wed Dec 25 21:25:20 2013 distribution of cycle lengths: Wed Dec 25 21:25:20 2013 1 relations: 678818 Wed Dec 25 21:25:20 2013 2 relations: 585003 Wed Dec 25 21:25:20 2013 3 relations: 548050 Wed Dec 25 21:25:20 2013 4 relations: 469517 Wed Dec 25 21:25:20 2013 5 relations: 384273 Wed Dec 25 21:25:20 2013 6 relations: 323111 Wed Dec 25 21:25:20 2013 7 relations: 263884 Wed Dec 25 21:25:20 2013 8 relations: 211579 Wed Dec 25 21:25:20 2013 9 relations: 169854 Wed Dec 25 21:25:20 2013 10+ relations: 678551 Wed Dec 25 21:25:20 2013 heaviest cycle: 26 relations Wed Dec 25 21:25:21 2013 commencing cycle optimization Wed Dec 25 21:25:27 2013 start with 23341588 relations Wed Dec 25 21:26:04 2013 pruned 424857 relations Wed Dec 25 21:26:04 2013 memory use: 644.9 MB Wed Dec 25 21:26:04 2013 distribution of cycle lengths: Wed Dec 25 21:26:04 2013 1 relations: 678818 Wed Dec 25 21:26:04 2013 2 relations: 596808 Wed Dec 25 21:26:04 2013 3 relations: 564354 Wed Dec 25 21:26:04 2013 4 relations: 475567 Wed Dec 25 21:26:04 2013 5 relations: 389038 Wed Dec 25 21:26:04 2013 6 relations: 322868 Wed Dec 25 21:26:05 2013 7 relations: 262557 Wed Dec 25 21:26:05 2013 8 relations: 208523 Wed Dec 25 21:26:05 2013 9 relations: 166461 Wed Dec 25 21:26:05 2013 10+ relations: 647646 Wed Dec 25 21:26:05 2013 heaviest cycle: 26 relations Wed Dec 25 21:26:09 2013 RelProcTime: 1006 Wed Dec 25 21:26:09 2013 elapsed time 00:16:48 <...snipped...> Wed Dec 25 21:26:50 2013 commencing linear algebra Wed Dec 25 21:26:51 2013 read 4312640 cycles Wed Dec 25 21:26:59 2013 cycles contain 14059130 unique relations Wed Dec 25 21:28:23 2013 read 14059130 relations Wed Dec 25 21:28:45 2013 using 20 quadratic characters above 536870814 Wed Dec 25 21:29:48 2013 building initial matrix Wed Dec 25 21:32:25 2013 memory use: 1583.8 MB Wed Dec 25 21:32:41 2013 read 4312640 cycles Wed Dec 25 21:32:42 2013 matrix is 4312463 x 4312640 (1216.1 MB) with weight 375774427 (87.13/col) Wed Dec 25 21:32:42 2013 sparse part has weight 292925947 (67.92/col) Wed Dec 25 21:33:34 2013 filtering completed in 2 passes Wed Dec 25 21:33:35 2013 matrix is 4308834 x 4309011 (1215.9 MB) with weight 375672184 (87.18/col) Wed Dec 25 21:33:35 2013 sparse part has weight 292895708 (67.97/col) Wed Dec 25 21:33:50 2013 matrix starts at (0, 0) Wed Dec 25 21:33:52 2013 matrix is 4308834 x 4309011 (1215.9 MB) with weight 375672184 (87.18/col) Wed Dec 25 21:33:52 2013 sparse part has weight 292895708 (67.97/col) Wed Dec 25 21:33:52 2013 saving the first 48 matrix rows for later Wed Dec 25 21:33:53 2013 matrix includes 64 packed rows Wed Dec 25 21:33:54 2013 matrix is 4308786 x 4309011 (1161.4 MB) with weight 297465706 (69.03/col) Wed Dec 25 21:33:54 2013 sparse part has weight 278601465 (64.66/col) Wed Dec 25 21:33:54 2013 using block size 65536 for processor cache size 8192 kB Wed Dec 25 21:34:16 2013 commencing Lanczos iteration (8 threads) Wed Dec 25 21:34:16 2013 memory use: 1225.2 MB Wed Dec 25 21:34:50 2013 linear algebra at 0.0%, ETA 25h53m Wed Dec 25 21:35:01 2013 checkpointing every 170000 dimensions Thu Dec 26 23:46:15 2013 lanczos halted after 68136 iterations (dim = 4308780) Thu Dec 26 23:46:35 2013 recovered 34 nontrivial dependencies Thu Dec 26 23:46:43 2013 BLanczosTime: 94793 Thu Dec 26 23:46:43 2013 Thu Dec 26 23:46:43 2013 commencing square root phase Thu Dec 26 23:46:43 2013 reading relations for dependency 1 Thu Dec 26 23:46:45 2013 read 2155129 cycles Thu Dec 26 23:46:49 2013 cycles contain 7031550 unique relations Thu Dec 26 23:47:40 2013 read 7031550 relations Thu Dec 26 23:48:21 2013 multiplying 7031550 relations Fri Dec 27 00:01:14 2013 multiply complete, coefficients have about 169.56 million bits Fri Dec 27 00:01:15 2013 initial square root is modulo 1216717 Fri Dec 27 00:15:55 2013 found factor: 2327406281131039812522882776305890105861131349626214400159 Fri Dec 27 00:15:55 2013 reading relations for dependency 2 Fri Dec 27 00:15:56 2013 read 2155270 cycles Fri Dec 27 00:16:00 2013 cycles contain 7030650 unique relations Fri Dec 27 00:16:51 2013 read 7030650 relations Fri Dec 27 00:17:31 2013 multiplying 7030650 relations Fri Dec 27 00:30:24 2013 multiply complete, coefficients have about 169.54 million bits Fri Dec 27 00:30:26 2013 initial square root is modulo 1214141 Fri Dec 27 00:45:06 2013 GCD is N, no factor found Fri Dec 27 00:45:06 2013 reading relations for dependency 3 Fri Dec 27 00:45:07 2013 read 2154700 cycles Fri Dec 27 00:45:11 2013 cycles contain 7028016 unique relations Fri Dec 27 00:46:02 2013 read 7028016 relations Fri Dec 27 00:46:42 2013 multiplying 7028016 relations Fri Dec 27 00:59:35 2013 multiply complete, coefficients have about 169.47 million bits Fri Dec 27 00:59:36 2013 initial square root is modulo 1207597 Fri Dec 27 01:14:13 2013 sqrtTime: 5250 Fri Dec 27 01:14:13 2013 prp48 factor: 996085973694204921652597074057714681833188460153 Fri Dec 27 01:14:13 2013 prp58 factor: 2327406281131039812522882776305890105861131349626214400159 Fri Dec 27 01:14:13 2013 prp72 factor: 265918063278399490272370385528255465322285212423431651749367542382496201 Fri Dec 27 01:14:13 2013 elapsed time 27:47:26 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 118 | Makoto Kamada | January 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 3400 | 1000 | Dmitry Domanov | January 10, 2012 09:05:37 UTC 2012 年 1 月 10 日 (火) 18 時 5 分 37 秒 (日本時間) |
2400 | Youcef Lemsafer | February 4, 2013 08:03:59 UTC 2013 年 2 月 4 日 (月) 17 時 3 分 59 秒 (日本時間) | |||
45 | 11e6 | 4500 | Youcef Lemsafer | February 4, 2013 08:03:59 UTC 2013 年 2 月 4 日 (月) 17 時 3 分 59 秒 (日本時間) | |
50 | 43e6 | 2772 / 6414 | Youcef Lemsafer | February 4, 2013 08:03:59 UTC 2013 年 2 月 4 日 (月) 17 時 3 分 59 秒 (日本時間) |
name 名前 | Serge Batalov |
---|---|
date 日付 | January 3, 2012 03:02:49 UTC 2012 年 1 月 3 日 (火) 12 時 2 分 49 秒 (日本時間) |
composite number 合成数 | 6468060531726356599978776810795387408285879515067462634106679197904124443120296785193142923780142590934816538106608960676862853333941650648786068860161518110766111437841241857<175> |
prime factors 素因数 | 119482815148155906864179713793114549<36> 54133814337284506100908796374847645099469437609816952320367528167297431572651862787268573737590274890117412365683838444620201560138989371293<140> |
factorization results 素因数分解の結果 | Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=2839419651 Step 1 took 8977ms Step 2 took 6632ms ********** Factor found in step 2: 119482815148155906864179713793114549 Found probable prime factor of 36 digits: 119482815148155906864179713793114549 Probable prime cofactor 541338143372... has 140 digits |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 0 | - | - | |
35 | 1e6 | 118 / 904 | Makoto Kamada | January 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間) |
name 名前 | Youcef Lemsafer |
---|---|
date 日付 | February 1, 2013 07:11:14 UTC 2013 年 2 月 1 日 (金) 16 時 11 分 14 秒 (日本時間) |
composite number 合成数 | 199534214707201354357289517562752019652483483957943446686762792246872638789242989191429171887531792964514711167174622146518726164714008305106445129833419319941246997190853463<174> |
prime factors 素因数 | 675637158087440219787057723166998837861597391<45> 295327473213629637566993228653687109144190786265790476166177386849999005445944412724161762046663582885255314811807423800603027193<129> |
factorization results 素因数分解の結果 | GMP-ECM 6.4.2 [configured with GMP 5.0.5, --enable-asm-redc] [ECM] Input number is (10^215-10^107*6-1)/501167181511907980229160743118764166424473 (174 digits) Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2813265673 Step 1 took 64850ms Step 2 took 24149ms ********** Factor found in step 2: 675637158087440219787057723166998837861597391 Found probable prime factor of 45 digits: 675637158087440219787057723166998837861597391 Probable prime cofactor ((10^215-10^107*6-1)/501167181511907980229160743118764166424473)/675637158087440219787057723166998837861597391 has 129 digits |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 118 | Makoto Kamada | January 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 1000 / 2318 | Dmitry Domanov | January 10, 2012 09:05:48 UTC 2012 年 1 月 10 日 (火) 18 時 5 分 48 秒 (日本時間) |
name 名前 | Youcef Lemsafer |
---|---|
date 日付 | May 23, 2013 06:25:33 UTC 2013 年 5 月 23 日 (木) 15 時 25 分 33 秒 (日本時間) |
composite number 合成数 | 294805113990741996218704474305761858708739502002926059037167678096394817309700165963737178955634359853594331807182418867657772890777695127302754489641436478309752551818348706608208045170153<189> |
prime factors 素因数 | 283778184668094046911619714076026646385639257<45> |
composite cofactor 合成数の残り | 1038857565233722974620749986771872310155473637361038529312939753315767829250305261136208190969374664663374293668205652462401937401450324574458129<145> |
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 (10^217-6*10^108-1)/(3*751*306170206679*49174603624309) (189 digits) Using MODMULN [mulredc:0, sqrredc:0] Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2675735003 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 53485ms Using 23 small primes for NTT Estimated memory usage: 125M Initializing tables of differences for F took 47ms Computing roots of F took 1656ms Building F from its roots took 2547ms Computing 1/F took 1359ms Initializing table of differences for G took 31ms Computing roots of G took 1453ms Building G from its roots took 2516ms Computing roots of G took 1453ms Building G from its roots took 2516ms Computing G * H took 766ms Reducing G * H mod F took 781ms Computing roots of G took 1453ms Building G from its roots took 2500ms Computing G * H took 766ms Reducing G * H mod F took 781ms Computing polyeval(F,G) took 4969ms Computing product of all F(g_i) took 15ms Step 2 took 25796ms ********** Factor found in step 2: 283778184668094046911619714076026646385639257 Found probable prime factor of 45 digits: 283778184668094046911619714076026646385639257 Composite cofactor ((10^217-6*10^108-1)/(3*751*306170206679*49174603624309))/283778184668094046911619714076026646385639257 has 145 digits |
name 名前 | Youcef Lemsafer |
---|---|
date 日付 | October 30, 2013 04:55:43 UTC 2013 年 10 月 30 日 (水) 13 時 55 分 43 秒 (日本時間) |
composite number 合成数 | 1038857565233722974620749986771872310155473637361038529312939753315767829250305261136208190969374664663374293668205652462401937401450324574458129<145> |
prime factors 素因数 | 36573747975654359887624975231365553695295519971531940127613313<62> 28404460104150324924388613685631739103374347192889083885459891454007998750749087633<83> |
factorization results 素因数分解の結果 | Wed Oct 23 22:40:07 2013 Wed Oct 23 22:40:07 2013 Wed Oct 23 22:40:07 2013 Msieve v. 1.51 (SVN 845) Wed Oct 23 22:40:07 2013 random seeds: d7d00c10 b8601b40 Wed Oct 23 22:40:07 2013 factoring 1038857565233722974620749986771872310155473637361038529312939753315767829250305261136208190969374664663374293668205652462401937401450324574458129 (145 digits) Wed Oct 23 22:40:10 2013 searching for 15-digit factors Wed Oct 23 22:40:13 2013 commencing number field sieve (145-digit input) Wed Oct 23 22:40:13 2013 commencing number field sieve polynomial selection Wed Oct 23 22:40:13 2013 polynomial degree: 5 Wed Oct 23 22:40:13 2013 max stage 1 norm: 1.08e+022 Wed Oct 23 22:40:13 2013 max stage 2 norm: 1.77e+020 Wed Oct 23 22:40:13 2013 min E-value: 9.48e-012 Wed Oct 23 22:40:13 2013 poly select deadline: 331657 Wed Oct 23 22:40:13 2013 time limit set to 92.13 CPU-hours Wed Oct 23 22:40:13 2013 expecting poly E from 1.17e-011 to > 1.35e-011 Wed Oct 23 22:40:13 2013 searching leading coefficients from 1 to 3000000 Wed Oct 23 22:40:14 2013 using GPU 0 (GeForce GTX 660) Wed Oct 23 22:40:14 2013 selected card has CUDA arch 3.0 Thu Oct 24 22:07:33 2013 polynomial selection complete Thu Oct 24 22:07:33 2013 elapsed time 23:27:26 Thu Oct 24 22:08:22 2013 Thu Oct 24 22:08:22 2013 Msieve v. 1.51 (SVN 845) Thu Oct 24 22:08:22 2013 random seeds: 39415234 b41713a6 Thu Oct 24 22:08:22 2013 factoring 1038857565233722974620749986771872310155473637361038529312939753315767829250305261136208190969374664663374293668205652462401937401450324574458129 (145 digits) Thu Oct 24 22:08:26 2013 searching for 15-digit factors Thu Oct 24 22:08:29 2013 commencing number field sieve (145-digit input) Thu Oct 24 22:08:29 2013 commencing number field sieve polynomial selection Thu Oct 24 22:08:29 2013 polynomial degree: 5 Thu Oct 24 22:08:29 2013 max stage 1 norm: 1.08e+022 Thu Oct 24 22:08:29 2013 max stage 2 norm: 1.77e+020 Thu Oct 24 22:08:29 2013 min E-value: 9.48e-012 Thu Oct 24 22:08:29 2013 poly select deadline: 331657 Sun Oct 27 00:00:40 2013 polynomial selection complete Sun Oct 27 00:00:40 2013 elapsed time 49:52:18 Sun Oct 27 00:03:51 2013 Sun Oct 27 02:22:46 2013 Msieve v. 1.51 (SVN 845) Sun Oct 27 02:22:46 2013 random seeds: 4249287c 8250b991 Sun Oct 27 02:22:46 2013 factoring 1038857565233722974620749986771872310155473637361038529312939753315767829250305261136208190969374664663374293668205652462401937401450324574458129 (145 digits) Sun Oct 27 02:22:48 2013 searching for 15-digit factors Sun Oct 27 02:22:49 2013 commencing number field sieve (145-digit input) Sun Oct 27 02:22:49 2013 commencing number field sieve polynomial selection Sun Oct 27 02:22:49 2013 polynomial degree: 5 Sun Oct 27 02:22:49 2013 max stage 1 norm: 1.08e+022 Sun Oct 27 02:22:49 2013 max stage 2 norm: 1.77e+020 Sun Oct 27 02:22:49 2013 min E-value: 9.48e-012 Sun Oct 27 02:22:49 2013 poly select deadline: 331657 Sun Oct 27 10:52:24 2013 polynomial selection complete Sun Oct 27 10:52:24 2013 R0: -12360953197594707983004655009 Sun Oct 27 10:52:24 2013 R1: 4088891911315799 Sun Oct 27 10:52:24 2013 A0: -83774480776385476950466422782623344 Sun Oct 27 10:52:24 2013 A1: 95553101899647010050333365472 Sun Oct 27 10:52:24 2013 A2: 679770526324878378799096 Sun Oct 27 10:52:24 2013 A3: -175851899955834973 Sun Oct 27 10:52:24 2013 A4: -157977719430 Sun Oct 27 10:52:24 2013 A5: 3600 Sun Oct 27 10:52:24 2013 skew 2100532.04, size 5.911e-014, alpha -6.985, combined = 1.226e-011 rroots = 5 Sun Oct 27 10:52:24 2013 elapsed time 09:29:38 Sun Oct 27 13:53:38 2013 -> factmsieve.py (v0.76) Sun Oct 27 13:53:38 2013 -> This is client 1 of 1 Sun Oct 27 13:53:38 2013 -> Running on 12 Cores with 2 hyper-threads per Core Sun Oct 27 13:53:38 2013 -> Working with NAME = 33133_108 Sun Oct 27 13:53:38 2013 -> Converting msieve polynomial (*.fb) to ggnfs (*.poly) format. Sun Oct 27 13:53:38 2013 -> Selected lattice siever: gnfs-lasieve4I14e Sun Oct 27 13:53:38 2013 -> Creating param file to detect parameter changes... Sun Oct 27 13:53:38 2013 -> Running setup ... Sun Oct 27 13:53:38 2013 -> Estimated minimum relations needed: 3.44021e+07 Sun Oct 27 13:53:38 2013 -> cleaning up before a restart Sun Oct 27 13:53:38 2013 -> Running lattice siever ... Sun Oct 27 13:53:38 2013 -> entering sieving loop Sun Oct 27 13:53:38 2013 -> making sieve job for q = 7950000 in 7950000 .. 7954166 as file 33133_108.job.T0 Sun Oct 27 13:53:38 2013 -> making sieve job for q = 7954166 in 7954166 .. 7958332 as file 33133_108.job.T1 Sun Oct 27 13:53:38 2013 -> making sieve job for q = 7958332 in 7958332 .. 7962498 as file 33133_108.job.T2 Sun Oct 27 13:53:38 2013 -> making sieve job for q = 7962498 in 7962498 .. 7966664 as file 33133_108.job.T3 Sun Oct 27 13:53:38 2013 -> making sieve job for q = 7966664 in 7966664 .. 7970830 as file 33133_108.job.T4 Sun Oct 27 13:53:38 2013 -> making sieve job for q = 7970830 in 7970830 .. 7974996 as file 33133_108.job.T5 Sun Oct 27 13:53:38 2013 -> making sieve job for q = 7974996 in 7974996 .. 7979162 as file 33133_108.job.T6 Sun Oct 27 13:53:38 2013 -> making sieve job for q = 7979162 in 7979162 .. 7983328 as file 33133_108.job.T7 Sun Oct 27 13:53:38 2013 -> making sieve job for q = 7983328 in 7983328 .. 7987494 as file 33133_108.job.T8 Sun Oct 27 13:53:38 2013 -> making sieve job for q = 7987494 in 7987494 .. 7991660 as file 33133_108.job.T9 Sun Oct 27 13:53:38 2013 -> making sieve job for q = 7991660 in 7991660 .. 7995826 as file 33133_108.job.T10 Sun Oct 27 13:53:38 2013 -> making sieve job for q = 7995826 in 7995826 .. 7999992 as file 33133_108.job.T11 Sun Oct 27 13:53:38 2013 -> making sieve job for q = 7999992 in 7999992 .. 8004158 as file 33133_108.job.T12 Sun Oct 27 13:53:38 2013 -> making sieve job for q = 8004158 in 8004158 .. 8008324 as file 33133_108.job.T13 Sun Oct 27 13:53:38 2013 -> making sieve job for q = 8008324 in 8008324 .. 8012490 as file 33133_108.job.T14 Sun Oct 27 13:53:38 2013 -> making sieve job for q = 8012490 in 8012490 .. 8016656 as file 33133_108.job.T15 Sun Oct 27 13:53:38 2013 -> making sieve job for q = 8016656 in 8016656 .. 8020822 as file 33133_108.job.T16 Sun Oct 27 13:53:39 2013 -> making sieve job for q = 8020822 in 8020822 .. 8024988 as file 33133_108.job.T17 Sun Oct 27 13:53:39 2013 -> making sieve job for q = 8024988 in 8024988 .. 8029154 as file 33133_108.job.T18 Sun Oct 27 13:53:39 2013 -> making sieve job for q = 8029154 in 8029154 .. 8033320 as file 33133_108.job.T19 Sun Oct 27 13:53:39 2013 -> making sieve job for q = 8033320 in 8033320 .. 8037486 as file 33133_108.job.T20 Sun Oct 27 13:53:39 2013 -> making sieve job for q = 8037486 in 8037486 .. 8041652 as file 33133_108.job.T21 Sun Oct 27 13:53:39 2013 -> making sieve job for q = 8041652 in 8041652 .. 8045818 as file 33133_108.job.T22 Sun Oct 27 13:53:39 2013 -> making sieve job for q = 8045818 in 8045818 .. 8049984 as file 33133_108.job.T23 Sun Oct 27 13:53:39 2013 -> Lattice sieving algebraic q from 7950000 to 8050000. Sun Oct 27 13:53:39 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T0 -v -n0 -a 33133_108.job.T0 Sun Oct 27 13:53:39 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T1 -v -n1 -a 33133_108.job.T1 Sun Oct 27 13:53:39 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T2 -v -n2 -a 33133_108.job.T2 Sun Oct 27 13:53:39 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T3 -v -n3 -a 33133_108.job.T3 Sun Oct 27 13:53:39 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T4 -v -n4 -a 33133_108.job.T4 Sun Oct 27 13:53:39 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T5 -v -n5 -a 33133_108.job.T5 Sun Oct 27 13:53:39 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T6 -v -n6 -a 33133_108.job.T6 Sun Oct 27 13:53:39 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T7 -v -n7 -a 33133_108.job.T7 Sun Oct 27 13:53:39 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T8 -v -n8 -a 33133_108.job.T8 Sun Oct 27 13:53:39 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T9 -v -n9 -a 33133_108.job.T9 Sun Oct 27 13:53:39 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T10 -v -n10 -a 33133_108.job.T10 Sun Oct 27 13:53:39 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T11 -v -n11 -a 33133_108.job.T11 Sun Oct 27 13:53:39 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T12 -v -n12 -a 33133_108.job.T12 Sun Oct 27 13:53:39 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T13 -v -n13 -a 33133_108.job.T13 Sun Oct 27 13:53:39 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T14 -v -n14 -a 33133_108.job.T14 Sun Oct 27 13:53:39 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T15 -v -n15 -a 33133_108.job.T15 Sun Oct 27 13:53:39 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T16 -v -n16 -a 33133_108.job.T16 Sun Oct 27 13:53:39 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T17 -v -n17 -a 33133_108.job.T17 Sun Oct 27 13:53:39 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T18 -v -n18 -a 33133_108.job.T18 Sun Oct 27 13:53:39 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T19 -v -n19 -a 33133_108.job.T19 Sun Oct 27 13:53:39 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T20 -v -n20 -a 33133_108.job.T20 Sun Oct 27 13:53:39 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T21 -v -n21 -a 33133_108.job.T21 Sun Oct 27 13:53:39 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T22 -v -n22 -a 33133_108.job.T22 Sun Oct 27 13:53:39 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T23 -v -n23 -a 33133_108.job.T23 Sun Oct 27 14:25:45 2013 Found 424643 relations, 1.2% of the estimated minimum (34402132). ... Sun Oct 27 17:59:21 2013 Found 3400250 relations, 9.9% of the estimated minimum (34402132). ... Sun Oct 27 22:02:46 2013 Found 6771758 relations, 19.7% of the estimated minimum (34402132). ... Mon Oct 28 06:45:00 2013 Found 13952109 relations, 40.6% of the estimated minimum (34402132). ... Mon Oct 28 10:55:27 2013 Found 17341293 relations, 50.4% of the estimated minimum (34402132). ... Mon Oct 28 23:37:32 2013 Found 27456775 relations, 79.8% of the estimated minimum (34402132). ... Tue Oct 29 08:48:47 2013 Found 34600945 relations, 100.6% of the estimated minimum (34402132). ... Tue Oct 29 18:22:45 2013 Found 40076559 relations, 116.5% of the estimated minimum (34402132). Tue Oct 29 18:22:47 2013 commencing relation filtering Tue Oct 29 18:22:47 2013 estimated available RAM is 4096.0 MB Tue Oct 29 18:22:47 2013 commencing duplicate removal, pass 1 Tue Oct 29 18:27:05 2013 found 4527823 hash collisions in 40076558 relations Tue Oct 29 18:28:00 2013 added 2 free relations Tue Oct 29 18:28:00 2013 commencing duplicate removal, pass 2 Tue Oct 29 18:28:30 2013 found 3701121 duplicates and 36375439 unique relations Tue Oct 29 18:28:30 2013 memory use: 197.2 MB Tue Oct 29 18:28:30 2013 reading ideals above 17367040 Tue Oct 29 18:28:36 2013 commencing singleton removal, initial pass Tue Oct 29 18:33:25 2013 memory use: 753.0 MB Tue Oct 29 18:33:25 2013 reading all ideals from disk Tue Oct 29 18:33:25 2013 memory use: 660.3 MB Tue Oct 29 18:33:27 2013 commencing in-memory singleton removal Tue Oct 29 18:33:29 2013 begin with 36375439 relations and 38323039 unique ideals Tue Oct 29 18:33:48 2013 reduce to 12610415 relations and 10315084 ideals in 25 passes Tue Oct 29 18:33:48 2013 max relations containing the same ideal: 45 Tue Oct 29 18:33:49 2013 reading ideals above 720000 Tue Oct 29 18:33:49 2013 commencing singleton removal, initial pass Tue Oct 29 18:35:57 2013 memory use: 344.5 MB Tue Oct 29 18:35:58 2013 reading all ideals from disk Tue Oct 29 18:35:58 2013 memory use: 421.5 MB Tue Oct 29 18:35:59 2013 commencing in-memory singleton removal Tue Oct 29 18:36:00 2013 begin with 12610418 relations and 12425086 unique ideals Tue Oct 29 18:36:14 2013 reduce to 12594155 relations and 12408810 ideals in 14 passes Tue Oct 29 18:36:14 2013 max relations containing the same ideal: 192 Tue Oct 29 18:36:20 2013 removing 519593 relations and 494057 ideals in 25536 cliques Tue Oct 29 18:36:21 2013 commencing in-memory singleton removal Tue Oct 29 18:36:21 2013 begin with 12074562 relations and 12408810 unique ideals Tue Oct 29 18:36:32 2013 reduce to 12056054 relations and 11896181 ideals in 11 passes Tue Oct 29 18:36:32 2013 max relations containing the same ideal: 185 Tue Oct 29 18:36:38 2013 removing 370977 relations and 345441 ideals in 25536 cliques Tue Oct 29 18:36:38 2013 commencing in-memory singleton removal Tue Oct 29 18:36:39 2013 begin with 11685077 relations and 11896181 unique ideals Tue Oct 29 18:36:47 2013 reduce to 11675126 relations and 11540765 ideals in 8 passes Tue Oct 29 18:36:47 2013 max relations containing the same ideal: 181 Tue Oct 29 18:36:50 2013 relations with 0 large ideals: 479 Tue Oct 29 18:36:50 2013 relations with 1 large ideals: 362 Tue Oct 29 18:36:50 2013 relations with 2 large ideals: 8268 Tue Oct 29 18:36:50 2013 relations with 3 large ideals: 84037 Tue Oct 29 18:36:50 2013 relations with 4 large ideals: 466673 Tue Oct 29 18:36:50 2013 relations with 5 large ideals: 1496039 Tue Oct 29 18:36:50 2013 relations with 6 large ideals: 2897447 Tue Oct 29 18:36:50 2013 relations with 7+ large ideals: 6721821 Tue Oct 29 18:36:50 2013 commencing 2-way merge Tue Oct 29 18:37:00 2013 reduce to 6372875 relation sets and 6238527 unique ideals Tue Oct 29 18:37:00 2013 ignored 13 oversize relation sets Tue Oct 29 18:37:00 2013 commencing full merge Tue Oct 29 18:39:01 2013 memory use: 610.4 MB Tue Oct 29 18:39:02 2013 found 3296364 cycles, need 3288727 Tue Oct 29 18:39:03 2013 weight of 3288727 cycles is about 230317796 (70.03/cycle) Tue Oct 29 18:39:03 2013 distribution of cycle lengths: Tue Oct 29 18:39:03 2013 1 relations: 476454 Tue Oct 29 18:39:03 2013 2 relations: 465117 Tue Oct 29 18:39:03 2013 3 relations: 430317 Tue Oct 29 18:39:03 2013 4 relations: 361313 Tue Oct 29 18:39:03 2013 5 relations: 308331 Tue Oct 29 18:39:03 2013 6 relations: 248975 Tue Oct 29 18:39:03 2013 7 relations: 198836 Tue Oct 29 18:39:03 2013 8 relations: 157383 Tue Oct 29 18:39:03 2013 9 relations: 126019 Tue Oct 29 18:39:03 2013 10+ relations: 515982 Tue Oct 29 18:39:03 2013 heaviest cycle: 28 relations Tue Oct 29 18:39:03 2013 commencing cycle optimization Tue Oct 29 18:39:08 2013 start with 18198857 relations Tue Oct 29 18:39:40 2013 pruned 266596 relations Tue Oct 29 18:39:40 2013 memory use: 517.6 MB Tue Oct 29 18:39:41 2013 distribution of cycle lengths: Tue Oct 29 18:39:41 2013 1 relations: 476454 Tue Oct 29 18:39:41 2013 2 relations: 473301 Tue Oct 29 18:39:41 2013 3 relations: 441249 Tue Oct 29 18:39:41 2013 4 relations: 365327 Tue Oct 29 18:39:41 2013 5 relations: 310809 Tue Oct 29 18:39:41 2013 6 relations: 247895 Tue Oct 29 18:39:41 2013 7 relations: 197021 Tue Oct 29 18:39:41 2013 8 relations: 154950 Tue Oct 29 18:39:41 2013 9 relations: 123512 Tue Oct 29 18:39:41 2013 10+ relations: 498209 Tue Oct 29 18:39:41 2013 heaviest cycle: 28 relations Tue Oct 29 18:39:44 2013 RelProcTime: 1017 Tue Oct 29 18:39:44 2013 elapsed time 00:16:59 Tue Oct 29 18:39:44 2013 LatSieveTime: 2957.02 Tue Oct 29 18:39:44 2013 -> Running matrix solving step ... Tue Oct 29 18:39:44 2013 Tue Oct 29 18:39:46 2013 commencing linear algebra Tue Oct 29 18:39:47 2013 read 3288727 cycles Tue Oct 29 18:39:54 2013 cycles contain 11450391 unique relations Tue Oct 29 18:41:12 2013 read 11450391 relations Tue Oct 29 18:41:32 2013 using 20 quadratic characters above 536870850 Tue Oct 29 18:42:37 2013 building initial matrix Tue Oct 29 18:45:30 2013 memory use: 1362.2 MB Tue Oct 29 18:45:34 2013 read 3288727 cycles Tue Oct 29 18:45:36 2013 matrix is 3288549 x 3288727 (957.9 MB) with weight 315512628 (95.94/col) Tue Oct 29 18:45:36 2013 sparse part has weight 224787317 (68.35/col) Tue Oct 29 18:46:17 2013 filtering completed in 2 passes Tue Oct 29 18:46:19 2013 matrix is 3283708 x 3283885 (957.5 MB) with weight 315316726 (96.02/col) Tue Oct 29 18:46:19 2013 sparse part has weight 224740608 (68.44/col) Tue Oct 29 18:46:41 2013 matrix starts at (0, 0) Tue Oct 29 18:46:43 2013 matrix is 3283708 x 3283885 (957.5 MB) with weight 315316726 (96.02/col) Tue Oct 29 18:46:43 2013 sparse part has weight 224740608 (68.44/col) Tue Oct 29 18:46:43 2013 saving the first 48 matrix rows for later Tue Oct 29 18:46:44 2013 matrix includes 64 packed rows Tue Oct 29 18:46:45 2013 matrix is 3283660 x 3283885 (920.3 MB) with weight 252602821 (76.92/col) Tue Oct 29 18:46:45 2013 sparse part has weight 221539102 (67.46/col) Tue Oct 29 18:46:45 2013 using block size 65536 for processor cache size 15360 kB Tue Oct 29 18:47:07 2013 commencing Lanczos iteration (24 threads) Tue Oct 29 18:47:07 2013 memory use: 1349.2 MB Tue Oct 29 18:47:22 2013 linear algebra at 0.0%, ETA 8h24m Tue Oct 29 18:47:26 2013 checkpointing every 410000 dimensions Wed Oct 30 03:10:32 2013 lanczos halted after 51927 iterations (dim = 3283660) Wed Oct 30 03:10:40 2013 recovered 32 nontrivial dependencies Wed Oct 30 03:10:40 2013 BLanczosTime: 30654 Wed Oct 30 03:10:40 2013 elapsed time 08:30:56 Wed Oct 30 03:10:40 2013 -> Running square root step ... Wed Oct 30 03:10:41 2013 Wed Oct 30 03:10:41 2013 Wed Oct 30 03:10:44 2013 Wed Oct 30 03:10:44 2013 commencing square root phase Wed Oct 30 03:10:44 2013 reading relations for dependency 1 Wed Oct 30 03:10:46 2013 read 1640746 cycles Wed Oct 30 03:10:51 2013 cycles contain 5721898 unique relations Wed Oct 30 03:11:54 2013 read 5721898 relations Wed Oct 30 03:12:30 2013 multiplying 5721898 relations Wed Oct 30 03:35:45 2013 multiply complete, coefficients have about 281.04 million bits Wed Oct 30 03:35:50 2013 initial square root is modulo 110477 Wed Oct 30 04:03:58 2013 sqrtTime: 3194 Wed Oct 30 04:03:58 2013 prp62 factor: 36573747975654359887624975231365553695295519971531940127613313 Wed Oct 30 04:03:58 2013 prp83 factor: 28404460104150324924388613685631739103374347192889083885459891454007998750749087633 Wed Oct 30 04:03:58 2013 elapsed time 00:53:17 Wed Oct 30 04:03:58 2013 -> Computing 1.3831e+09 scale for this machine... Wed Oct 30 04:03:58 2013 -> procrels -speedtest> PIPE Wed Oct 30 04:04:05 2013 -> Factorization summary written to g145-33133_108.txt Number: 33133_108 N = 1038857565233722974620749986771872310155473637361038529312939753315767829250305261136208190969374664663374293668205652462401937401450324574458129 (145 digits) Divisors found: r1=36573747975654359887624975231365553695295519971531940127613313 (pp62) r2=28404460104150324924388613685631739103374347192889083885459891454007998750749087633 (pp83) Version: Msieve v. 1.50 (SVN 708) Total time: 62.44 hours. Factorization parameters were as follows: n: 1038857565233722974620749986771872310155473637361038529312939753315767829250305261136208190969374664663374293668205652462401937401450324574458129 Y0: -12360953197594707983004655009 Y1: 4088891911315799 c0: -83774480776385476950466422782623344 c1: 95553101899647010050333365472 c2: 679770526324878378799096 c3: -175851899955834973 c4: -157977719430 c5: 3600 skew: 2100532.04 type: gnfs Factor base limits: 15900000/15900000 Large primes per side: 3 Large prime bits: 29/29 Sieved algebraic special-q in [0, 0) Total raw relations: 40076559 Relations: 5721898 relations Pruned matrix : 3283660 x 3283885 Polynomial selection time: 0.00 hours. Total sieving time: 52.76 hours. Total relation processing time: 0.28 hours. Matrix solve time: 8.52 hours. time per square root: 0.89 hours. Prototype def-par.txt line would be: gnfs,144,5,67,2000,5e-06,0.28,250,20,50000,3600,15900000,15900000,29,29,58,58,2.6,2.6,100000 total time: 62.44 hours. Intel64 Family 6 Model 45 Stepping 7, GenuineIntel Windows-7-6.1.7601-SP1 processors: 24, speed: 2.00GHz |
software ソフトウェア | msieve 1.51 GPU for polynomial selection, GNFS (SVN 430), msieve 1.50 (SVN 708) |
execution environment 実行環境 | Windows 7 Professional 64 bits, 2 x Intel Xeon E5-2620 @ 2.00 GHz, 32 GB RAM, 2 x NVidia GeForce GTX 660. |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 118 | Makoto Kamada | January 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2320 | 1000 | Dmitry Domanov | January 10, 2012 09:05:58 UTC 2012 年 1 月 10 日 (火) 18 時 5 分 58 秒 (日本時間) |
1320 | Youcef Lemsafer | May 23, 2013 06:20:33 UTC 2013 年 5 月 23 日 (木) 15 時 20 分 33 秒 (日本時間) | |||
45 | 11e6 | 4004 | 2532 | Youcef Lemsafer | May 23, 2013 06:20:33 UTC 2013 年 5 月 23 日 (木) 15 時 20 分 33 秒 (日本時間) |
1472 | Youcef Lemsafer | June 24, 2013 06:32:11 UTC 2013 年 6 月 24 日 (月) 15 時 32 分 11 秒 (日本時間) | |||
50 | 43e6 | 2192 | 992 | Youcef Lemsafer | June 24, 2013 06:32:11 UTC 2013 年 6 月 24 日 (月) 15 時 32 分 11 秒 (日本時間) |
1200 | Youcef Lemsafer | October 20, 2013 10:20:55 UTC 2013 年 10 月 20 日 (日) 19 時 20 分 55 秒 (日本時間) | |||
55 | 11e7 | 3862 / 14765 | 1024 | Youcef Lemsafer | June 24, 2013 06:32:11 UTC 2013 年 6 月 24 日 (月) 15 時 32 分 11 秒 (日本時間) |
1638 | Youcef Lemsafer | October 20, 2013 10:20:55 UTC 2013 年 10 月 20 日 (日) 19 時 20 分 55 秒 (日本時間) | |||
1200 | Youcef Lemsafer | October 25, 2013 05:14:59 UTC 2013 年 10 月 25 日 (金) 14 時 14 分 59 秒 (日本時間) | |||
60 | 26e7 | 840 / 40235 | 600 | Youcef Lemsafer | June 24, 2013 06:32:11 UTC 2013 年 6 月 24 日 (月) 15 時 32 分 11 秒 (日本時間) |
240 | Youcef Lemsafer | October 25, 2013 19:03:16 UTC 2013 年 10 月 26 日 (土) 4 時 3 分 16 秒 (日本時間) |
name 名前 | Youcef Lemsafer |
---|---|
date 日付 | November 2, 2013 16:40:02 UTC 2013 年 11 月 3 日 (日) 1 時 40 分 2 秒 (日本時間) |
composite number 合成数 | 10887190449893707243156307099585387188107454802401050778344668555023263681651547559040345387814886928391343737848229377555087420251007013241874471788950371577697395565426335034226827456590185723580154343457141<209> |
prime factors 素因数 | 398830916295615075374681731442765640162181703<45> |
composite cofactor 合成数の残り | 27297759539343429433071737969935132026862154614131050929868091795213957714098870866966074021978853503483525043581713896625791263171958797573467535475033200722075747<164> |
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 (10^219-6*10^109-1)/(3*31*1667*592469) (209 digits) Using MODMULN [mulredc:0, sqrredc:0] Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3618733474 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+007 2.2e+008 2.2e+009 Step 1 took 262409ms Using 25 small primes for NTT Estimated memory usage: 277M Initializing tables of differences for F took 63ms Computing roots of F took 4492ms Building F from its roots took 6973ms Computing 1/F took 3525ms Initializing table of differences for G took 94ms Computing roots of G took 3541ms Building G from its roots took 7208ms Computing roots of G took 3479ms Building G from its roots took 7020ms Computing G * H took 1872ms Reducing G * H mod F took 1903ms Computing roots of G took 3526ms Building G from its roots took 7207ms Computing G * H took 1841ms Reducing G * H mod F took 1887ms Computing roots of G took 3557ms Building G from its roots took 7207ms Computing G * H took 1841ms Reducing G * H mod F took 1919ms Computing roots of G took 3525ms Building G from its roots took 7207ms Computing G * H took 1809ms Reducing G * H mod F took 1904ms Computing polyeval(F,G) took 13619ms Computing product of all F(g_i) took 47ms Step 2 took 97610ms ********** Factor found in step 2: 398830916295615075374681731442765640162181703 Found probable prime factor of 45 digits: 398830916295615075374681731442765640162181703 Composite cofactor ((10^219-6*10^109-1)/(3*31*1667*592469))/398830916295615075374681731442765640162181703 has 164 digits |
name 名前 | Youcef Lemsafer |
---|---|
date 日付 | March 7, 2014 21:03:08 UTC 2014 年 3 月 8 日 (土) 6 時 3 分 8 秒 (日本時間) |
composite number 合成数 | 27297759539343429433071737969935132026862154614131050929868091795213957714098870866966074021978853503483525043581713896625791263171958797573467535475033200722075747<164> |
prime factors 素因数 | 561564117081865602320385564833789902383819612624827<51> 48610227592878630940462498801387703208844477223184107622153020501514060798402936648654532883641141853854224771961<113> |
factorization results 素因数分解の結果 | <Sieving using gnfs-lasieve4I14e win64> < Q_0 Q_1 Q_t Duration (d) Relations Progress (%) Throughput (rel/s) Speed (q/s) Yield (rel/q) Threads Environment> < 14000000 18000000 18000000 1,235 7164694 100 67,15 37,49 1,79 8 Intel Xeon W3530 @ 2.8 GHz> < 18000000 25000000 25000000 2,57 11498584 100 51,78 31,52 1,64 6 Intel Xeon W3530 @ 2.8 GHz> < 25000000 40000000 40000000 1,976 21432106 100 125,53 87,86 1,43 24 Intel Xeon E5-2620 @ 2.0 GHz (x2)> < 40000000 47000000 47000000 0,907 8780250 100 112,04 89,33 1,25 24 Intel Xeon E5-2620 @ 2.0 GHz (x2)> < 47000000 47700000 47700000 0,263 844113 100 37,15 30,81 1,21 6 Intel Xeon W3530 @ 2.8 GHz> <Post-processing using msieve 1.52 win64> Fri Mar 07 07:24:28 2014 Fri Mar 07 07:24:28 2014 Fri Mar 07 07:24:28 2014 Msieve v. 1.52 (SVN 959) Fri Mar 07 07:24:28 2014 random seeds: 93434838 89f730b3 Fri Mar 07 07:24:28 2014 factoring 27297759539343429433071737969935132026862154614131050929868091795213957714098870866966074021978853503483525043581713896625791263171958797573467535475033200722075747 (164 digits) Fri Mar 07 07:24:29 2014 no P-1/P+1/ECM available, skipping Fri Mar 07 07:24:29 2014 commencing number field sieve (164-digit input) Fri Mar 07 07:24:29 2014 R0: -1000000000000000000000000000000000000 Fri Mar 07 07:24:29 2014 R1: 1 Fri Mar 07 07:24:29 2014 A0: -1 Fri Mar 07 07:24:29 2014 A1: 0 Fri Mar 07 07:24:29 2014 A2: 0 Fri Mar 07 07:24:29 2014 A3: -60 Fri Mar 07 07:24:29 2014 A4: 0 Fri Mar 07 07:24:29 2014 A5: 0 Fri Mar 07 07:24:29 2014 A6: 1000 Fri Mar 07 07:24:29 2014 skew 0.32, size 6.844e-011, alpha 0.082, combined = 2.558e-012 rroots = 2 Fri Mar 07 07:24:29 2014 Fri Mar 07 07:24:29 2014 commencing relation filtering Fri Mar 07 07:24:29 2014 estimated available RAM is 32739.1 MB Fri Mar 07 07:24:29 2014 commencing duplicate removal, pass 1 Fri Mar 07 07:33:43 2014 skipped 8 relations with b > 2^32 Fri Mar 07 07:33:43 2014 found 8098649 hash collisions in 49719739 relations Fri Mar 07 07:34:08 2014 added 1218634 free relations Fri Mar 07 07:34:08 2014 commencing duplicate removal, pass 2 Fri Mar 07 07:34:40 2014 found 7462257 duplicates and 43476116 unique relations Fri Mar 07 07:34:40 2014 memory use: 213.2 MB Fri Mar 07 07:34:40 2014 reading ideals above 720000 Fri Mar 07 07:34:40 2014 commencing singleton removal, initial pass Fri Mar 07 07:45:35 2014 memory use: 1378.0 MB Fri Mar 07 07:45:35 2014 reading all ideals from disk Fri Mar 07 07:45:36 2014 memory use: 1570.1 MB Fri Mar 07 07:45:41 2014 keeping 45210795 ideals with weight <= 200, target excess is 227683 Fri Mar 07 07:45:46 2014 commencing in-memory singleton removal Fri Mar 07 07:45:50 2014 begin with 43476116 relations and 45210795 unique ideals Fri Mar 07 07:46:34 2014 reduce to 22170871 relations and 21007111 ideals in 17 passes Fri Mar 07 07:46:34 2014 max relations containing the same ideal: 133 Fri Mar 07 07:46:47 2014 removing 3018989 relations and 2618989 ideals in 400000 cliques Fri Mar 07 07:46:48 2014 commencing in-memory singleton removal Fri Mar 07 07:46:50 2014 begin with 19151882 relations and 21007111 unique ideals Fri Mar 07 07:47:07 2014 reduce to 18767904 relations and 17994357 ideals in 10 passes Fri Mar 07 07:47:07 2014 max relations containing the same ideal: 122 Fri Mar 07 07:47:18 2014 removing 2269587 relations and 1869587 ideals in 400000 cliques Fri Mar 07 07:47:19 2014 commencing in-memory singleton removal Fri Mar 07 07:47:20 2014 begin with 16498317 relations and 17994357 unique ideals Fri Mar 07 07:47:38 2014 reduce to 16268026 relations and 15889140 ideals in 12 passes Fri Mar 07 07:47:38 2014 max relations containing the same ideal: 117 Fri Mar 07 07:47:47 2014 removing 760120 relations and 645347 ideals in 114773 cliques Fri Mar 07 07:47:48 2014 commencing in-memory singleton removal Fri Mar 07 07:47:49 2014 begin with 15507906 relations and 15889140 unique ideals Fri Mar 07 07:47:59 2014 reduce to 15482305 relations and 15218018 ideals in 7 passes Fri Mar 07 07:47:59 2014 max relations containing the same ideal: 111 Fri Mar 07 07:48:11 2014 relations with 0 large ideals: 8146 Fri Mar 07 07:48:11 2014 relations with 1 large ideals: 2858 Fri Mar 07 07:48:11 2014 relations with 2 large ideals: 23932 Fri Mar 07 07:48:11 2014 relations with 3 large ideals: 192475 Fri Mar 07 07:48:11 2014 relations with 4 large ideals: 868452 Fri Mar 07 07:48:11 2014 relations with 5 large ideals: 2338478 Fri Mar 07 07:48:11 2014 relations with 6 large ideals: 3891718 Fri Mar 07 07:48:11 2014 relations with 7+ large ideals: 8156246 Fri Mar 07 07:48:11 2014 commencing 2-way merge Fri Mar 07 07:48:23 2014 reduce to 9693740 relation sets and 9429453 unique ideals Fri Mar 07 07:48:23 2014 commencing full merge Fri Mar 07 07:51:32 2014 memory use: 1202.5 MB Fri Mar 07 07:51:33 2014 found 5142747 cycles, need 5107653 Fri Mar 07 07:51:34 2014 weight of 5107653 cycles is about 357785763 (70.05/cycle) Fri Mar 07 07:51:34 2014 distribution of cycle lengths: Fri Mar 07 07:51:34 2014 1 relations: 700843 Fri Mar 07 07:51:34 2014 2 relations: 672316 Fri Mar 07 07:51:34 2014 3 relations: 623416 Fri Mar 07 07:51:34 2014 4 relations: 538578 Fri Mar 07 07:51:34 2014 5 relations: 470852 Fri Mar 07 07:51:34 2014 6 relations: 395189 Fri Mar 07 07:51:34 2014 7 relations: 338762 Fri Mar 07 07:51:34 2014 8 relations: 286985 Fri Mar 07 07:51:34 2014 9 relations: 240023 Fri Mar 07 07:51:34 2014 10+ relations: 840689 Fri Mar 07 07:51:34 2014 heaviest cycle: 22 relations Fri Mar 07 07:51:35 2014 commencing cycle optimization Fri Mar 07 07:51:42 2014 start with 28138809 relations Fri Mar 07 07:52:34 2014 pruned 666488 relations Fri Mar 07 07:52:34 2014 memory use: 921.6 MB Fri Mar 07 07:52:34 2014 distribution of cycle lengths: Fri Mar 07 07:52:34 2014 1 relations: 700843 Fri Mar 07 07:52:34 2014 2 relations: 685453 Fri Mar 07 07:52:34 2014 3 relations: 643732 Fri Mar 07 07:52:34 2014 4 relations: 550545 Fri Mar 07 07:52:34 2014 5 relations: 480169 Fri Mar 07 07:52:34 2014 6 relations: 398807 Fri Mar 07 07:52:34 2014 7 relations: 341642 Fri Mar 07 07:52:34 2014 8 relations: 286766 Fri Mar 07 07:52:34 2014 9 relations: 238015 Fri Mar 07 07:52:34 2014 10+ relations: 781681 Fri Mar 07 07:52:34 2014 heaviest cycle: 22 relations Fri Mar 07 07:52:40 2014 RelProcTime: 1691 Fri Mar 07 07:52:40 2014 Fri Mar 07 07:52:40 2014 commencing linear algebra Fri Mar 07 07:52:41 2014 read 5107653 cycles Fri Mar 07 07:52:50 2014 cycles contain 15278942 unique relations Fri Mar 07 07:55:50 2014 read 15278942 relations Fri Mar 07 07:56:15 2014 using 20 quadratic characters above 536870658 Fri Mar 07 07:57:37 2014 building initial matrix Fri Mar 07 08:01:11 2014 memory use: 1953.2 MB Fri Mar 07 08:01:16 2014 read 5107653 cycles Fri Mar 07 08:01:17 2014 matrix is 5107476 x 5107653 (1533.3 MB) with weight 459180279 (89.90/col) Fri Mar 07 08:01:17 2014 sparse part has weight 345757905 (67.69/col) Fri Mar 07 08:02:10 2014 filtering completed in 2 passes Fri Mar 07 08:02:11 2014 matrix is 5105258 x 5105435 (1533.1 MB) with weight 459114578 (89.93/col) Fri Mar 07 08:02:11 2014 sparse part has weight 345741786 (67.72/col) Fri Mar 07 08:02:39 2014 matrix starts at (0, 0) Fri Mar 07 08:02:40 2014 matrix is 5105258 x 5105435 (1533.1 MB) with weight 459114578 (89.93/col) Fri Mar 07 08:02:40 2014 sparse part has weight 345741786 (67.72/col) Fri Mar 07 08:02:40 2014 saving the first 48 matrix rows for later Fri Mar 07 08:02:42 2014 matrix includes 64 packed rows Fri Mar 07 08:02:43 2014 matrix is 5105210 x 5105435 (1470.5 MB) with weight 364650516 (71.42/col) Fri Mar 07 08:02:43 2014 sparse part has weight 334436357 (65.51/col) Fri Mar 07 08:02:43 2014 using block size 8192 and superblock size 1474560 for processor cache size 15360 kB Fri Mar 07 08:03:07 2014 commencing Lanczos iteration (16 threads) Fri Mar 07 08:03:07 2014 memory use: 1209.4 MB Fri Mar 07 08:03:18 2014 linear algebra at 0.0%, ETA 9h20m Fri Mar 07 08:03:22 2014 checkpointing every 530000 dimensions Fri Mar 07 17:43:37 2014 lanczos halted after 80733 iterations (dim = 5105207) Fri Mar 07 17:43:43 2014 recovered 37 nontrivial dependencies Fri Mar 07 17:43:46 2014 BLanczosTime: 35466 Fri Mar 07 17:43:46 2014 Fri Mar 07 17:43:46 2014 commencing square root phase Fri Mar 07 17:43:46 2014 reading relations for dependency 1 Fri Mar 07 17:43:47 2014 read 2553860 cycles Fri Mar 07 17:43:51 2014 cycles contain 7641122 unique relations Fri Mar 07 17:45:25 2014 read 7641122 relations Fri Mar 07 17:46:07 2014 multiplying 7641122 relations Fri Mar 07 17:56:12 2014 multiply complete, coefficients have about 255.27 million bits Fri Mar 07 17:56:13 2014 initial square root is modulo 1448597369 Fri Mar 07 18:07:40 2014 sqrtTime: 1434 Fri Mar 07 18:07:40 2014 prp51 factor: 561564117081865602320385564833789902383819612624827 Fri Mar 07 18:07:40 2014 prp113 factor: 48610227592878630940462498801387703208844477223184107622153020501514060798402936648654532883641141853854224771961 Fri Mar 07 18:07:40 2014 elapsed time 10:43:12 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 118 | Makoto Kamada | January 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2320 | 1000 | Dmitry Domanov | January 10, 2012 09:06:06 UTC 2012 年 1 月 10 日 (火) 18 時 6 分 6 秒 (日本時間) |
1320 | Youcef Lemsafer | November 2, 2013 07:07:24 UTC 2013 年 11 月 2 日 (土) 16 時 7 分 24 秒 (日本時間) | |||
45 | 11e6 | 4200 | Youcef Lemsafer | November 2, 2013 07:07:24 UTC 2013 年 11 月 2 日 (土) 16 時 7 分 24 秒 (日本時間) | |
50 | 43e6 | 1702 / 6522 | 220 | Youcef Lemsafer | November 2, 2013 16:24:14 UTC 2013 年 11 月 3 日 (日) 1 時 24 分 14 秒 (日本時間) |
820 | Youcef Lemsafer | November 4, 2013 14:09:10 UTC 2013 年 11 月 4 日 (月) 23 時 9 分 10 秒 (日本時間) | |||
662 | Youcef Lemsafer | January 10, 2014 11:07:08 UTC 2014 年 1 月 10 日 (金) 20 時 7 分 8 秒 (日本時間) |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | January 6, 2012 08:50:07 UTC 2012 年 1 月 6 日 (金) 17 時 50 分 7 秒 (日本時間) |
composite number 合成数 | 103471071880078349468052466067041185662454214073945595896838484419658467423457382540170162689735987156175041889695061074958662369357244100353801700763188014829919303643220062729862071<183> |
prime factors 素因数 | 428099670919575994721401525747271<33> |
composite cofactor 合成数の残り | 241698555053355122376380248053890147484050958402322893069321775339793283701058204164479139441257788191300730027735650387300034779508359179374510038801<150> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3352423099 Step 1 took 23529ms ********** Factor found in step 1: 428099670919575994721401525747271 Found probable prime factor of 33 digits: 428099670919575994721401525747271 |
name 名前 | Youcef Lemsafer |
---|---|
date 日付 | November 2, 2013 16:42:16 UTC 2013 年 11 月 3 日 (日) 1 時 42 分 16 秒 (日本時間) |
composite number 合成数 | 241698555053355122376380248053890147484050958402322893069321775339793283701058204164479139441257788191300730027735650387300034779508359179374510038801<150> |
prime factors 素因数 | 404809457372845267284312663845747396503513<42> 597067461372922780195885658528030100108875619932872275118194303075377467263777381803789980964995705342109177<108> |
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 (10^221-6*10^110-1)/(3*3877*1454325107*57135034571895080821438157*428099670919575994721401525747271) (150 digits) Using MODMULN [mulredc:0, sqrredc:0] Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3949844921 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 40248ms Using 19 small primes for NTT Estimated memory usage: 104M Initializing tables of differences for F took 47ms Computing roots of F took 1498ms Building F from its roots took 2246ms Computing 1/F took 1232ms Initializing table of differences for G took 31ms Computing roots of G took 1326ms Building G from its roots took 2294ms Computing roots of G took 1342ms Building G from its roots took 2340ms Computing G * H took 656ms Reducing G * H mod F took 686ms Computing roots of G took 1310ms Building G from its roots took 2294ms Computing G * H took 655ms Reducing G * H mod F took 671ms Computing polyeval(F,G) took 4384ms Computing product of all F(g_i) took 31ms Step 2 took 23213ms ********** Factor found in step 2: 404809457372845267284312663845747396503513 Found probable prime factor of 42 digits: 404809457372845267284312663845747396503513 Probable prime cofactor ((10^221-6*10^110-1)/(3*3877*1454325107*57135034571895080821438157*428099670919575994721401525747271))/404809457372845267284312663845747396503513 has 108 digits |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 118 | Makoto Kamada | January 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2318 | Wataru Sakai | January 9, 2012 03:11:18 UTC 2012 年 1 月 9 日 (月) 12 時 11 分 18 秒 (日本時間) | |
45 | 11e6 | 1160 / 3963 | Youcef Lemsafer | November 2, 2013 16:24:59 UTC 2013 年 11 月 3 日 (日) 1 時 24 分 59 秒 (日本時間) |
name 名前 | Youcef Lemsafer |
---|---|
date 日付 | November 2, 2013 16:43:27 UTC 2013 年 11 月 3 日 (日) 1 時 43 分 27 秒 (日本時間) |
composite number 合成数 | 10961809806079738389005459258495539714687620864430889420945768725954261861437950470180975956191728887052335771379289253639116871958560974882020286556498026638343883796627960715888841108545363668981348390913369501<212> |
prime factors 素因数 | 19057624661002395582459531718659690323321507<44> |
composite cofactor 合成数の残り | 575192869052085088027199359833162498584811309685762520238195449806691642158776342201026021582456138286833491888301260738173019789210790348409658991853356193397889342143<168> |
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 (10^223-6*10^111-1)/(3*304086039833) (212 digits) Using MODMULN [mulredc:0, sqrredc:0] Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2424150703 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 64975ms Using 26 small primes for NTT Estimated memory usage: 137M Initializing tables of differences for F took 62ms Computing roots of F took 1826ms Building F from its roots took 3151ms Computing 1/F took 1763ms Initializing table of differences for G took 62ms Computing roots of G took 1701ms Building G from its roots took 3322ms Computing roots of G took 1669ms Building G from its roots took 3323ms Computing G * H took 920ms Reducing G * H mod F took 967ms Computing roots of G took 1701ms Building G from its roots took 3322ms Computing G * H took 890ms Reducing G * H mod F took 967ms Computing polyeval(F,G) took 6302ms Computing product of all F(g_i) took 32ms Step 2 took 32120ms ********** Factor found in step 2: 19057624661002395582459531718659690323321507 Found probable prime factor of 44 digits: 19057624661002395582459531718659690323321507 Composite cofactor ((10^223-6*10^111-1)/(3*304086039833))/19057624661002395582459531718659690323321507 has 168 digits |
name 名前 | Youcef Lemsafer |
---|---|
date 日付 | March 8, 2014 09:40:51 UTC 2014 年 3 月 8 日 (土) 18 時 40 分 51 秒 (日本時間) |
composite number 合成数 | 575192869052085088027199359833162498584811309685762520238195449806691642158776342201026021582456138286833491888301260738173019789210790348409658991853356193397889342143<168> |
prime factors 素因数 | 127676980346667730146445815810827122482876623<45> 4505063226670344529383197378296975458597117189123248142884020651970947708977889031528331718168432892849055642756784664212241<124> |
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 (10^223-6*10^111-1)/(3*304086039833*19057624661002395582459531718659690323321507) (168 digits) Using MODMULN [mulredc:0, sqrredc:0] Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=2710031975 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 453650ms Using 21 small primes for NTT Estimated memory usage: 478M Initializing tables of differences for F took 296ms Computing roots of F took 14914ms Building F from its roots took 11731ms Computing 1/F took 5429ms Initializing table of differences for G took 234ms Computing roots of G took 12652ms Building G from its roots took 11700ms Computing roots of G took 12558ms Building G from its roots took 11653ms Computing G * H took 2979ms Reducing G * H mod F took 3089ms Computing roots of G took 12574ms Building G from its roots took 11669ms Computing G * H took 2979ms Reducing G * H mod F took 3058ms Computing roots of G took 12589ms Building G from its roots took 11654ms Computing G * H took 2964ms Reducing G * H mod F took 3057ms Computing polyeval(F,G) took 22355ms Computing product of all F(g_i) took 78ms Step 2 took 170697ms ********** Factor found in step 2: 127676980346667730146445815810827122482876623 Found probable prime factor of 45 digits: 127676980346667730146445815810827122482876623 Probable prime cofactor ((10^223-6*10^111-1)/(3*304086039833*19057624661002395582459531718659690323321507))/127676980346667730146445815810827122482876623 has 124 digits |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 118 | Makoto Kamada | January 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2320 | 1000 | Dmitry Domanov | January 10, 2012 09:06:30 UTC 2012 年 1 月 10 日 (火) 18 時 6 分 30 秒 (日本時間) |
1320 | Youcef Lemsafer | November 2, 2013 16:25:43 UTC 2013 年 11 月 3 日 (日) 1 時 25 分 43 秒 (日本時間) | |||
45 | 11e6 | 493 | Youcef Lemsafer | November 2, 2013 16:25:43 UTC 2013 年 11 月 3 日 (日) 1 時 25 分 43 秒 (日本時間) | |
50 | 43e6 | 1536 / 6720 | Youcef Lemsafer | March 7, 2014 21:09:46 UTC 2014 年 3 月 8 日 (土) 6 時 9 分 46 秒 (日本時間) | |
55 | 11e7 | 263 / 17172 | Youcef Lemsafer | March 8, 2014 09:24:48 UTC 2014 年 3 月 8 日 (土) 18 時 24 分 48 秒 (日本時間) |
name 名前 | Youcef Lemsafer |
---|---|
date 日付 | March 20, 2014 03:34:17 UTC 2014 年 3 月 20 日 (木) 12 時 34 分 17 秒 (日本時間) |
composite number 合成数 | 21763382368902901861987176180415928715948966393620293112065653833535580037564507852214700871645441220101899402311461463281694624504038967498339312904435237470309220819002910537211<179> |
prime factors 素因数 | 863005471681735918231863277817210484670301263915481184766381<60> 25218127906527255697481252153790505073506546831787786830762679820067856855026846131754566868800677181304231837702767431<119> |
factorization results 素因数分解の結果 | <Parameters used:> # # 33133_112, C179, SNFS_diff=225 # n: 21763382368902901861987176180415928715948966393620293112065653833535580037564507852214700871645441220101899402311461463281694624504038967498339312904435237470309220819002910537211 m: 10000000000000000000000000000000000000 deg: 6 c6: 1000 c3: -60 c0: -1 skew: 0.32 # Murphy_E = 1.798e-12 type: snfs lss: 1 rlim: 40000000 alim: 40000000 lpbr: 29 lpba: 29 mfbr: 80 mfba: 58 rlambda: 3.1 alambda: 2.7 <Sieving on Intel Xeon W3530 @ 2.8GHz + 2x Intel Xeon E5-2620 @ 2.0GHz> <took around 5.5 days> <Q_0 Q_1 Duration (d) Relations Yield (rel/q) Throughput (rel/s) Threads Environment> <14000000 43000000 4,209 34708758 1,2 95,44 24 Intel Xeon E5-2620 @ 2.0GHz (x2)> <43000000 53000000 4,56 9780980 0,98 24,83 6 Intel Xeon W3530 @ 2.8GHz> <53000000 58000000 0,712 4577910 0,92 74,42 24 Intel Xeon E5-2620 @ 2.0GHz (x2)> <58000000 59000000 0,368 896415 0,9 28,19 8 Intel Xeon W3530 @ 2.8GHz> <59000000 59500000 0,074 444980 0,89 69,6 24 Intel Xeon E5-2620 @ 2.0GHz (x2)> <59500000 61500000 0,304 1762950 0,88 67,12 24 Intel Xeon E5-2620 @ 2.0GHz (x2)> <Post-processing using 16 threads on 2x Intel Xeon E5-2620 @ 2.0GHz> Tue Mar 18 22:28:07 2014 Tue Mar 18 22:28:07 2014 Tue Mar 18 22:28:07 2014 Msieve v. 1.52 (SVN 959) Tue Mar 18 22:28:07 2014 random seeds: 941fe400 be5a015c Tue Mar 18 22:28:07 2014 factoring 21763382368902901861987176180415928715948966393620293112065653833535580037564507852214700871645441220101899402311461463281694624504038967498339312904435237470309220819002910537211 (179 digits) Tue Mar 18 22:28:08 2014 no P-1/P+1/ECM available, skipping Tue Mar 18 22:28:08 2014 commencing number field sieve (179-digit input) Tue Mar 18 22:28:08 2014 R0: -10000000000000000000000000000000000000 Tue Mar 18 22:28:08 2014 R1: 1 Tue Mar 18 22:28:08 2014 A0: -1 Tue Mar 18 22:28:08 2014 A1: 0 Tue Mar 18 22:28:08 2014 A2: 0 Tue Mar 18 22:28:08 2014 A3: -60 Tue Mar 18 22:28:08 2014 A4: 0 Tue Mar 18 22:28:08 2014 A5: 0 Tue Mar 18 22:28:08 2014 A6: 1000 Tue Mar 18 22:28:08 2014 skew 0.32, size 3.545e-011, alpha 0.082, combined = 1.600e-012 rroots = 2 Tue Mar 18 22:28:08 2014 Tue Mar 18 22:28:08 2014 commencing relation filtering Tue Mar 18 22:28:08 2014 estimated available RAM is 32739.1 MB Tue Mar 18 22:28:08 2014 commencing duplicate removal, pass 1 Tue Mar 18 22:37:39 2014 skipped 13 relations with b > 2^32 Tue Mar 18 22:37:39 2014 found 9268816 hash collisions in 50409030 relations Tue Mar 18 22:38:05 2014 added 1218642 free relations Tue Mar 18 22:38:05 2014 commencing duplicate removal, pass 2 Tue Mar 18 22:38:38 2014 found 9032635 duplicates and 42595037 unique relations Tue Mar 18 22:38:38 2014 memory use: 330.4 MB Tue Mar 18 22:38:39 2014 reading ideals above 720000 Tue Mar 18 22:38:39 2014 commencing singleton removal, initial pass Tue Mar 18 22:49:32 2014 memory use: 1378.0 MB Tue Mar 18 22:49:32 2014 reading all ideals from disk Tue Mar 18 22:49:33 2014 memory use: 1563.5 MB Tue Mar 18 22:49:38 2014 keeping 45500065 ideals with weight <= 200, target excess is 221961 Tue Mar 18 22:49:44 2014 commencing in-memory singleton removal Tue Mar 18 22:49:48 2014 begin with 42595037 relations and 45500065 unique ideals Tue Mar 18 22:50:49 2014 reduce to 21072960 relations and 21025810 ideals in 21 passes Tue Mar 18 22:50:49 2014 max relations containing the same ideal: 128 Tue Mar 18 22:50:51 2014 filtering wants 1000000 more relations Tue Mar 18 22:50:51 2014 elapsed time 00:22:44 Wed Mar 19 07:02:34 2014 Wed Mar 19 07:02:34 2014 Wed Mar 19 07:02:34 2014 Msieve v. 1.52 (SVN 959) Wed Mar 19 07:02:34 2014 random seeds: a232b628 1fec36b2 Wed Mar 19 07:02:34 2014 factoring 21763382368902901861987176180415928715948966393620293112065653833535580037564507852214700871645441220101899402311461463281694624504038967498339312904435237470309220819002910537211 (179 digits) Wed Mar 19 07:02:35 2014 no P-1/P+1/ECM available, skipping Wed Mar 19 07:02:35 2014 commencing number field sieve (179-digit input) Wed Mar 19 07:02:35 2014 R0: -10000000000000000000000000000000000000 Wed Mar 19 07:02:35 2014 R1: 1 Wed Mar 19 07:02:35 2014 A0: -1 Wed Mar 19 07:02:35 2014 A1: 0 Wed Mar 19 07:02:35 2014 A2: 0 Wed Mar 19 07:02:35 2014 A3: -60 Wed Mar 19 07:02:35 2014 A4: 0 Wed Mar 19 07:02:35 2014 A5: 0 Wed Mar 19 07:02:35 2014 A6: 1000 Wed Mar 19 07:02:35 2014 skew 0.32, size 3.545e-011, alpha 0.082, combined = 1.600e-012 rroots = 2 Wed Mar 19 07:02:35 2014 Wed Mar 19 07:02:35 2014 commencing relation filtering Wed Mar 19 07:02:35 2014 estimated available RAM is 32739.1 MB Wed Mar 19 07:02:35 2014 commencing duplicate removal, pass 1 Wed Mar 19 07:12:16 2014 skipped 13 relations with b > 2^32 Wed Mar 19 07:12:16 2014 found 9771517 hash collisions in 52171980 relations Wed Mar 19 07:12:42 2014 added 1218644 free relations Wed Mar 19 07:12:42 2014 commencing duplicate removal, pass 2 Wed Mar 19 07:13:16 2014 found 9547723 duplicates and 43842901 unique relations Wed Mar 19 07:13:16 2014 memory use: 330.4 MB Wed Mar 19 07:13:16 2014 reading ideals above 720000 Wed Mar 19 07:13:17 2014 commencing singleton removal, initial pass Wed Mar 19 07:24:24 2014 memory use: 1378.0 MB Wed Mar 19 07:24:24 2014 reading all ideals from disk Wed Mar 19 07:24:25 2014 memory use: 1609.9 MB Wed Mar 19 07:24:31 2014 keeping 45897607 ideals with weight <= 200, target excess is 229240 Wed Mar 19 07:24:38 2014 commencing in-memory singleton removal Wed Mar 19 07:24:43 2014 begin with 43842901 relations and 45897607 unique ideals Wed Mar 19 07:25:37 2014 reduce to 23027711 relations and 22360597 ideals in 19 passes Wed Mar 19 07:25:37 2014 max relations containing the same ideal: 138 Wed Mar 19 07:25:54 2014 removing 1926348 relations and 1725750 ideals in 200598 cliques Wed Mar 19 07:25:55 2014 commencing in-memory singleton removal Wed Mar 19 07:25:58 2014 begin with 21101363 relations and 22360597 unique ideals Wed Mar 19 07:26:25 2014 reduce to 20953353 relations and 20484855 ideals in 10 passes Wed Mar 19 07:26:25 2014 max relations containing the same ideal: 132 Wed Mar 19 07:26:38 2014 removing 1403287 relations and 1202689 ideals in 200598 cliques Wed Mar 19 07:26:39 2014 commencing in-memory singleton removal Wed Mar 19 07:26:41 2014 begin with 19550066 relations and 20484855 unique ideals Wed Mar 19 07:27:03 2014 reduce to 19467967 relations and 19199199 ideals in 9 passes Wed Mar 19 07:27:03 2014 max relations containing the same ideal: 123 Wed Mar 19 07:27:21 2014 relations with 0 large ideals: 8451 Wed Mar 19 07:27:21 2014 relations with 1 large ideals: 2202 Wed Mar 19 07:27:21 2014 relations with 2 large ideals: 19926 Wed Mar 19 07:27:21 2014 relations with 3 large ideals: 172114 Wed Mar 19 07:27:21 2014 relations with 4 large ideals: 837483 Wed Mar 19 07:27:21 2014 relations with 5 large ideals: 2461167 Wed Mar 19 07:27:21 2014 relations with 6 large ideals: 4515615 Wed Mar 19 07:27:21 2014 relations with 7+ large ideals: 11451009 Wed Mar 19 07:27:21 2014 commencing 2-way merge Wed Mar 19 07:27:42 2014 reduce to 12327698 relation sets and 12058931 unique ideals Wed Mar 19 07:27:42 2014 ignored 1 oversize relation sets Wed Mar 19 07:27:42 2014 commencing full merge Wed Mar 19 07:32:51 2014 memory use: 1513.0 MB Wed Mar 19 07:32:53 2014 found 6504406 cycles, need 6471131 Wed Mar 19 07:32:54 2014 weight of 6471131 cycles is about 452985376 (70.00/cycle) Wed Mar 19 07:32:54 2014 distribution of cycle lengths: Wed Mar 19 07:32:54 2014 1 relations: 932810 Wed Mar 19 07:32:54 2014 2 relations: 892042 Wed Mar 19 07:32:54 2014 3 relations: 823080 Wed Mar 19 07:32:54 2014 4 relations: 697824 Wed Mar 19 07:32:54 2014 5 relations: 588807 Wed Mar 19 07:32:54 2014 6 relations: 484119 Wed Mar 19 07:32:54 2014 7 relations: 402903 Wed Mar 19 07:32:54 2014 8 relations: 329854 Wed Mar 19 07:32:54 2014 9 relations: 270555 Wed Mar 19 07:32:54 2014 10+ relations: 1049137 Wed Mar 19 07:32:54 2014 heaviest cycle: 26 relations Wed Mar 19 07:32:56 2014 commencing cycle optimization Wed Mar 19 07:33:05 2014 start with 35425694 relations Wed Mar 19 07:34:25 2014 pruned 853040 relations Wed Mar 19 07:34:25 2014 memory use: 1156.6 MB Wed Mar 19 07:34:25 2014 distribution of cycle lengths: Wed Mar 19 07:34:25 2014 1 relations: 932810 Wed Mar 19 07:34:25 2014 2 relations: 910584 Wed Mar 19 07:34:25 2014 3 relations: 851613 Wed Mar 19 07:34:25 2014 4 relations: 711297 Wed Mar 19 07:34:25 2014 5 relations: 600003 Wed Mar 19 07:34:25 2014 6 relations: 487179 Wed Mar 19 07:34:25 2014 7 relations: 403224 Wed Mar 19 07:34:25 2014 8 relations: 325983 Wed Mar 19 07:34:25 2014 9 relations: 266190 Wed Mar 19 07:34:25 2014 10+ relations: 982248 Wed Mar 19 07:34:25 2014 heaviest cycle: 25 relations Wed Mar 19 07:34:35 2014 RelProcTime: 1920 Wed Mar 19 07:34:35 2014 Wed Mar 19 07:34:35 2014 commencing linear algebra Wed Mar 19 07:34:37 2014 read 6471131 cycles Wed Mar 19 07:34:49 2014 cycles contain 19188137 unique relations Wed Mar 19 07:38:30 2014 read 19188137 relations Wed Mar 19 07:39:09 2014 using 20 quadratic characters above 536870780 Wed Mar 19 07:40:53 2014 building initial matrix Wed Mar 19 07:45:50 2014 memory use: 2514.0 MB Wed Mar 19 07:45:56 2014 read 6471131 cycles Wed Mar 19 07:45:58 2014 matrix is 6470952 x 6471131 (1941.9 MB) with weight 580519924 (89.71/col) Wed Mar 19 07:45:58 2014 sparse part has weight 437862016 (67.66/col) Wed Mar 19 07:47:13 2014 filtering completed in 2 passes Wed Mar 19 07:47:15 2014 matrix is 6466923 x 6467102 (1941.6 MB) with weight 580394263 (89.75/col) Wed Mar 19 07:47:15 2014 sparse part has weight 437827958 (67.70/col) Wed Mar 19 07:48:05 2014 matrix starts at (0, 0) Wed Mar 19 07:48:06 2014 matrix is 6466923 x 6467102 (1941.6 MB) with weight 580394263 (89.75/col) Wed Mar 19 07:48:06 2014 sparse part has weight 437827958 (67.70/col) Wed Mar 19 07:48:06 2014 saving the first 48 matrix rows for later Wed Mar 19 07:48:09 2014 matrix includes 64 packed rows Wed Mar 19 07:48:10 2014 matrix is 6466875 x 6467102 (1863.2 MB) with weight 461378080 (71.34/col) Wed Mar 19 07:48:10 2014 sparse part has weight 423763359 (65.53/col) Wed Mar 19 07:48:10 2014 using block size 8192 and superblock size 1474560 for processor cache size 15360 kB Wed Mar 19 07:48:42 2014 commencing Lanczos iteration (16 threads) Wed Mar 19 07:48:42 2014 memory use: 1538.8 MB Wed Mar 19 07:48:59 2014 linear algebra at 0.0%, ETA 18h59m Wed Mar 19 07:49:04 2014 checkpointing every 350000 dimensions Thu Mar 20 01:57:33 2014 lanczos halted after 102265 iterations (dim = 6466873) Thu Mar 20 01:57:42 2014 recovered 39 nontrivial dependencies Thu Mar 20 01:57:46 2014 BLanczosTime: 66191 Thu Mar 20 01:57:46 2014 Thu Mar 20 01:57:46 2014 commencing square root phase Thu Mar 20 01:57:46 2014 reading relations for dependency 1 Thu Mar 20 01:57:48 2014 read 3232785 cycles Thu Mar 20 01:57:53 2014 cycles contain 9595568 unique relations Thu Mar 20 01:59:48 2014 read 9595568 relations Thu Mar 20 02:00:42 2014 multiplying 9595568 relations Thu Mar 20 02:16:30 2014 multiply complete, coefficients have about 322.30 million bits Thu Mar 20 02:16:31 2014 initial square root is modulo 607001 Thu Mar 20 02:32:37 2014 GCD is N, no factor found Thu Mar 20 02:32:37 2014 reading relations for dependency 2 Thu Mar 20 02:32:38 2014 read 3232271 cycles Thu Mar 20 02:32:43 2014 cycles contain 9592000 unique relations Thu Mar 20 02:34:38 2014 read 9592000 relations Thu Mar 20 02:35:44 2014 multiplying 9592000 relations Thu Mar 20 02:51:28 2014 multiply complete, coefficients have about 322.18 million bits Thu Mar 20 02:51:30 2014 initial square root is modulo 603917 Thu Mar 20 03:07:39 2014 GCD is N, no factor found Thu Mar 20 03:07:39 2014 reading relations for dependency 3 Thu Mar 20 03:07:41 2014 read 3233000 cycles Thu Mar 20 03:07:46 2014 cycles contain 9591722 unique relations Thu Mar 20 03:09:41 2014 read 9591722 relations Thu Mar 20 03:10:35 2014 multiplying 9591722 relations Thu Mar 20 03:26:19 2014 multiply complete, coefficients have about 322.17 million bits Thu Mar 20 03:26:21 2014 initial square root is modulo 603689 Thu Mar 20 03:42:36 2014 GCD is 1, no factor found Thu Mar 20 03:42:36 2014 reading relations for dependency 4 Thu Mar 20 03:42:38 2014 read 3231508 cycles Thu Mar 20 03:42:43 2014 cycles contain 9590912 unique relations Thu Mar 20 03:44:38 2014 read 9590912 relations Thu Mar 20 03:45:44 2014 multiplying 9590912 relations Thu Mar 20 04:01:27 2014 multiply complete, coefficients have about 322.14 million bits Thu Mar 20 04:01:28 2014 initial square root is modulo 602951 Thu Mar 20 04:17:26 2014 sqrtTime: 8380 Thu Mar 20 04:17:26 2014 prp60 factor: 863005471681735918231863277817210484670301263915481184766381 Thu Mar 20 04:17:26 2014 prp119 factor: 25218127906527255697481252153790505073506546831787786830762679820067856855026846131754566868800677181304231837702767431 Thu Mar 20 04:17:26 2014 elapsed time 21:14:52 |
software ソフトウェア | GGNFS (SVN 440) win64, msieve 1.52 (SVN 959) win64 |
execution environment 実行環境 | Windows 7 Pro 64-bits, Intel Xeon W3530 @ 2.8GHz, 8GB RAM + Intel Xeon E5-2620 @ 2.0GHz (x2) 32 GB RAM |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 118 | Makoto Kamada | January 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2210 | 1000 | Dmitry Domanov | January 10, 2012 09:06:41 UTC 2012 年 1 月 10 日 (火) 18 時 6 分 41 秒 (日本時間) |
250 | Youcef Lemsafer | December 5, 2013 18:45:03 UTC 2013 年 12 月 6 日 (金) 3 時 45 分 3 秒 (日本時間) | |||
960 | Youcef Lemsafer | December 6, 2013 14:59:13 UTC 2013 年 12 月 6 日 (金) 23 時 59 分 13 秒 (日本時間) | |||
45 | 11e6 | 4133 | 337 | Youcef Lemsafer | December 6, 2013 14:59:13 UTC 2013 年 12 月 6 日 (金) 23 時 59 分 13 秒 (日本時間) |
3796 | Youcef Lemsafer | March 12, 2014 15:59:33 UTC 2014 年 3 月 13 日 (木) 0 時 59 分 33 秒 (日本時間) | |||
50 | 43e6 | 720 / 1710 | 240 | Youcef Lemsafer | March 12, 2014 16:01:46 UTC 2014 年 3 月 13 日 (木) 1 時 1 分 46 秒 (日本時間) |
480 | Youcef Lemsafer | March 13, 2014 10:07:40 UTC 2014 年 3 月 13 日 (木) 19 時 7 分 40 秒 (日本時間) | |||
55 | 11e7 | 960 / 16065 | Youcef Lemsafer | March 12, 2014 16:01:46 UTC 2014 年 3 月 13 日 (木) 1 時 1 分 46 秒 (日本時間) | |
60 | 26e7 | 504 / 41502 | 144 | Youcef Lemsafer | March 12, 2014 20:26:40 UTC 2014 年 3 月 13 日 (木) 5 時 26 分 40 秒 (日本時間) |
240 | Youcef Lemsafer | March 15, 2014 08:19:14 UTC 2014 年 3 月 15 日 (土) 17 時 19 分 14 秒 (日本時間) | |||
120 | Youcef Lemsafer | March 17, 2014 09:54:49 UTC 2014 年 3 月 17 日 (月) 18 時 54 分 49 秒 (日本時間) |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | January 6, 2012 11:50:54 UTC 2012 年 1 月 6 日 (金) 20 時 50 分 54 秒 (日本時間) |
composite number 合成数 | 21114080505937931129552895069469144562174583706845091872710520479452193827528958432068817945476482057375858751484280720299595036198813699983586901873595194645217950088709971125874963289841<188> |
prime factors 素因数 | 3255241604409861803356853810203258405801<40> 6486179236998807419573881121128767777194443028540626040160454710841345419794506805518311890966599026098711005692524413267583258345918058435667052041<148> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4035854712 Step 1 took 23390ms ********** Factor found in step 1: 3255241604409861803356853810203258405801 Found probable prime factor of 40 digits: 3255241604409861803356853810203258405801 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 0 | - | - | |
35 | 1e6 | 118 / 904 | Makoto Kamada | January 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間) |
name 名前 | Youcef Lemsafer |
---|---|
date 日付 | March 20, 2014 07:39:16 UTC 2014 年 3 月 20 日 (木) 16 時 39 分 16 秒 (日本時間) |
composite number 合成数 | 46790436259473823997786362143087792934237491431537284566588855132830100747831503644248576036202904598947041614194196085095845905389318708898822004042122647502579022598246676984424692830777178883<194> |
prime factors 素因数 | 11343607342655945320719831225827950716973<41> 4124828623389083627847515259490036312520993739845404588867702451894689045338955831224159100414218887417539068271970829183061711242498393683555632065330671<154> |
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 (10^229-6*10^114-1)/(3*17^2*71*8039*431880336125117581885579511) (194 digits) Using B1=31000000, B2=144289975846, polynomial Dickson(12), sigma=1825926888 Step 1 took 275639ms Step 2 took 81479ms ********** Factor found in step 2: 11343607342655945320719831225827950716973 Found probable prime factor of 41 digits: 11343607342655945320719831225827950716973 Probable prime cofactor ((10^229-6*10^114-1)/(3*17^2*71*8039*431880336125117581885579511))/11343607342655945320719831225827950716973 has 154 digits |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 118 | Makoto Kamada | January 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2000 | 1000 | Dmitry Domanov | January 10, 2012 09:06:49 UTC 2012 年 1 月 10 日 (火) 18 時 6 分 49 秒 (日本時間) |
1000 | Youcef Lemsafer | December 8, 2013 16:31:17 UTC 2013 年 12 月 9 日 (月) 1 時 31 分 17 秒 (日本時間) | |||
45 | 11e6 | 2293 / 4033 | 274 | Youcef Lemsafer | December 8, 2013 17:46:43 UTC 2013 年 12 月 9 日 (月) 2 時 46 分 43 秒 (日本時間) |
2019 | Youcef Lemsafer | March 20, 2014 07:38:32 UTC 2014 年 3 月 20 日 (木) 16 時 38 分 32 秒 (日本時間) |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | January 6, 2012 17:22:05 UTC 2012 年 1 月 7 日 (土) 2 時 22 分 5 秒 (日本時間) |
composite number 合成数 | 55246541002294458276011929122235394455699070284367327261054100046713270854317974233440433144191004472423663616646953440756346138788882108874230452326353339216963457425328761952007<179> |
prime factors 素因数 | 557418902280789360464398979461849429<36> 99111351940600401724175427427579883453075337034347612369968478389167410703006078295116762403959121971263524360823985904854970614250778007848683<143> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=720782199 Step 1 took 23422ms Step 2 took 8934ms ********** Factor found in step 2: 557418902280789360464398979461849429 Found probable prime factor of 36 digits: 557418902280789360464398979461849429 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 0 | - | - | |
35 | 1e6 | 118 / 904 | Makoto Kamada | January 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間) |
name 名前 | Youcef Lemsafer |
---|---|
date 日付 | November 23, 2014 06:14:49 UTC 2014 年 11 月 23 日 (日) 15 時 14 分 49 秒 (日本時間) |
composite number 合成数 | 32958079601374746455681125604334597590162020226842724297840653420497157587731456649988391089731157012107894534006198057080872602349180151066090625576379519127995072703030375909029<179> |
prime factors 素因数 | 1164986897093292966798815637820983134287878590251485642491<58> 28290515269834352784047735521323580652490957235445050598845535832274898666491603349215692426380306111920953933603607338719<122> |
factorization results 素因数分解の結果 | <Parameters used:> # # 33133_116 C179, SNFS_diff = 234 # Sieve from 20M to 118M using gnfs-lasieve4I14e -r # n: 32958079601374746455681125604334597590162020226842724297840653420497157587731456649988391089731157012107894534006198057080872602349180151066090625576379519127995072703030375909029 m: 1000000000000000000000000000000000000000 deg: 6 c6: 1 c3: -6 c0: -10 skew: 1.47 # Murphy_E = 8.392e-13 type: snfs lss: 1 rlim: 56000000 alim: 56000000 lpbr: 30 lpba: 30 mfbr: 60 mfba: 60 rlambda: 2.7 alambda: 2.7 <Sieving rational q from 20e6 to 118004000 using 640 threads on 20x Dual Intel Xeon E5-2680 v2 @2.8GHz 60GB RAM> <running 64bit Ubuntu Linux took around 11.7 hours.> <Post processing on Dual Intel Xeon E5-2620 @2.0GHz 32GB RAM running Windows 7 Pro 64bit.> Fri Nov 21 23:35:27 2014 Fri Nov 21 23:35:27 2014 Fri Nov 21 23:35:27 2014 Msieve v. 1.53 (SVN 975) Fri Nov 21 23:35:27 2014 random seeds: 86af93c3 6235f3d8 Fri Nov 21 23:35:27 2014 factoring 32958079601374746455681125604334597590162020226842724297840653420497157587731456649988391089731157012107894534006198057080872602349180151066090625576379519127995072703030375909029 (179 digits) Fri Nov 21 23:35:29 2014 no P-1/P+1/ECM available, skipping Fri Nov 21 23:35:29 2014 commencing number field sieve (179-digit input) Fri Nov 21 23:35:29 2014 R0: -1000000000000000000000000000000000000000 Fri Nov 21 23:35:29 2014 R1: 1 Fri Nov 21 23:35:29 2014 A0: -10 Fri Nov 21 23:35:29 2014 A1: 0 Fri Nov 21 23:35:29 2014 A2: 0 Fri Nov 21 23:35:29 2014 A3: -6 Fri Nov 21 23:35:29 2014 A4: 0 Fri Nov 21 23:35:29 2014 A5: 0 Fri Nov 21 23:35:29 2014 A6: 1 Fri Nov 21 23:35:29 2014 skew 1.47, size 1.234e-11, alpha 2.240, combined = 7.455e-13 rroots = 2 Fri Nov 21 23:35:29 2014 Fri Nov 21 23:35:29 2014 commencing relation filtering Fri Nov 21 23:35:29 2014 estimated available RAM is 32739.0 MB Fri Nov 21 23:35:29 2014 commencing duplicate removal, pass 1 Sat Nov 22 00:05:54 2014 skipped 7 relations with b > 2^32 Sat Nov 22 00:05:54 2014 found 22705834 hash collisions in 113160640 relations Sat Nov 22 00:06:23 2014 added 406196 free relations Sat Nov 22 00:06:23 2014 commencing duplicate removal, pass 2 Sat Nov 22 00:07:55 2014 found 22526551 duplicates and 91040285 unique relations Sat Nov 22 00:07:55 2014 memory use: 660.8 MB Sat Nov 22 00:07:55 2014 reading ideals above 720000 Sat Nov 22 00:07:55 2014 commencing singleton removal, initial pass Sat Nov 22 00:31:13 2014 memory use: 2756.0 MB Sat Nov 22 00:31:14 2014 reading all ideals from disk Sat Nov 22 00:31:17 2014 memory use: 3471.4 MB Sat Nov 22 00:31:31 2014 keeping 88723465 ideals with weight <= 200, target excess is 487623 Sat Nov 22 00:31:49 2014 commencing in-memory singleton removal Sat Nov 22 00:32:00 2014 begin with 91040285 relations and 88723465 unique ideals Sat Nov 22 00:33:53 2014 reduce to 53239756 relations and 46509411 ideals in 15 passes Sat Nov 22 00:33:53 2014 max relations containing the same ideal: 147 Sat Nov 22 00:34:37 2014 removing 6021144 relations and 5021144 ideals in 1000000 cliques Sat Nov 22 00:34:41 2014 commencing in-memory singleton removal Sat Nov 22 00:34:48 2014 begin with 47218612 relations and 46509411 unique ideals Sat Nov 22 00:35:48 2014 reduce to 46714839 relations and 40972415 ideals in 9 passes Sat Nov 22 00:35:48 2014 max relations containing the same ideal: 133 Sat Nov 22 00:36:26 2014 removing 4588049 relations and 3588049 ideals in 1000000 cliques Sat Nov 22 00:36:30 2014 commencing in-memory singleton removal Sat Nov 22 00:36:36 2014 begin with 42126790 relations and 40972415 unique ideals Sat Nov 22 00:37:22 2014 reduce to 41796513 relations and 37047040 ideals in 8 passes Sat Nov 22 00:37:22 2014 max relations containing the same ideal: 127 Sat Nov 22 00:37:56 2014 removing 4131428 relations and 3131428 ideals in 1000000 cliques Sat Nov 22 00:37:59 2014 commencing in-memory singleton removal Sat Nov 22 00:38:04 2014 begin with 37665085 relations and 37047040 unique ideals Sat Nov 22 00:38:45 2014 reduce to 37370746 relations and 33614821 ideals in 8 passes Sat Nov 22 00:38:45 2014 max relations containing the same ideal: 119 Sat Nov 22 00:39:13 2014 removing 3890492 relations and 2890492 ideals in 1000000 cliques Sat Nov 22 00:39:16 2014 commencing in-memory singleton removal Sat Nov 22 00:39:19 2014 begin with 33480254 relations and 33614821 unique ideals Sat Nov 22 00:39:47 2014 reduce to 33196641 relations and 30434035 ideals in 7 passes Sat Nov 22 00:39:47 2014 max relations containing the same ideal: 111 Sat Nov 22 00:40:10 2014 removing 3735213 relations and 2735213 ideals in 1000000 cliques Sat Nov 22 00:40:12 2014 commencing in-memory singleton removal Sat Nov 22 00:40:15 2014 begin with 29461428 relations and 30434035 unique ideals Sat Nov 22 00:40:37 2014 reduce to 29174693 relations and 27404679 ideals in 7 passes Sat Nov 22 00:40:37 2014 max relations containing the same ideal: 101 Sat Nov 22 00:40:57 2014 removing 3635881 relations and 2635881 ideals in 1000000 cliques Sat Nov 22 00:40:59 2014 commencing in-memory singleton removal Sat Nov 22 00:41:02 2014 begin with 25538812 relations and 27404679 unique ideals Sat Nov 22 00:41:23 2014 reduce to 25230327 relations and 24451206 ideals in 8 passes Sat Nov 22 00:41:23 2014 max relations containing the same ideal: 93 Sat Nov 22 00:41:40 2014 removing 1032129 relations and 818651 ideals in 213478 cliques Sat Nov 22 00:41:42 2014 commencing in-memory singleton removal Sat Nov 22 00:41:44 2014 begin with 24198198 relations and 24451206 unique ideals Sat Nov 22 00:41:59 2014 reduce to 24173192 relations and 23607343 ideals in 6 passes Sat Nov 22 00:41:59 2014 max relations containing the same ideal: 89 Sat Nov 22 00:42:21 2014 relations with 0 large ideals: 5955 Sat Nov 22 00:42:21 2014 relations with 1 large ideals: 6294 Sat Nov 22 00:42:21 2014 relations with 2 large ideals: 88330 Sat Nov 22 00:42:21 2014 relations with 3 large ideals: 604879 Sat Nov 22 00:42:21 2014 relations with 4 large ideals: 2218489 Sat Nov 22 00:42:21 2014 relations with 5 large ideals: 4852760 Sat Nov 22 00:42:21 2014 relations with 6 large ideals: 6564970 Sat Nov 22 00:42:21 2014 relations with 7+ large ideals: 9831515 Sat Nov 22 00:42:21 2014 commencing 2-way merge Sat Nov 22 00:42:43 2014 reduce to 16044665 relation sets and 15478816 unique ideals Sat Nov 22 00:42:43 2014 commencing full merge Sat Nov 22 00:48:08 2014 memory use: 1833.9 MB Sat Nov 22 00:48:12 2014 found 8660951 cycles, need 8583016 Sat Nov 22 00:48:13 2014 weight of 8583016 cycles is about 600879205 (70.01/cycle) Sat Nov 22 00:48:13 2014 distribution of cycle lengths: Sat Nov 22 00:48:13 2014 1 relations: 869613 Sat Nov 22 00:48:13 2014 2 relations: 1073253 Sat Nov 22 00:48:13 2014 3 relations: 1140278 Sat Nov 22 00:48:13 2014 4 relations: 1061822 Sat Nov 22 00:48:13 2014 5 relations: 973644 Sat Nov 22 00:48:13 2014 6 relations: 845459 Sat Nov 22 00:48:13 2014 7 relations: 712383 Sat Nov 22 00:48:13 2014 8 relations: 573069 Sat Nov 22 00:48:13 2014 9 relations: 439254 Sat Nov 22 00:48:13 2014 10+ relations: 894241 Sat Nov 22 00:48:13 2014 heaviest cycle: 17 relations Sat Nov 22 00:48:18 2014 commencing cycle optimization Sat Nov 22 00:48:33 2014 start with 44315564 relations Sat Nov 22 00:50:07 2014 pruned 1131100 relations Sat Nov 22 00:50:07 2014 memory use: 1462.2 MB Sat Nov 22 00:50:07 2014 distribution of cycle lengths: Sat Nov 22 00:50:07 2014 1 relations: 869613 Sat Nov 22 00:50:07 2014 2 relations: 1097226 Sat Nov 22 00:50:07 2014 3 relations: 1184722 Sat Nov 22 00:50:07 2014 4 relations: 1090517 Sat Nov 22 00:50:07 2014 5 relations: 1000564 Sat Nov 22 00:50:07 2014 6 relations: 858437 Sat Nov 22 00:50:07 2014 7 relations: 718144 Sat Nov 22 00:50:07 2014 8 relations: 566559 Sat Nov 22 00:50:07 2014 9 relations: 424599 Sat Nov 22 00:50:07 2014 10+ relations: 772635 Sat Nov 22 00:50:07 2014 heaviest cycle: 17 relations Sat Nov 22 00:50:29 2014 RelProcTime: 4500 Sat Nov 22 00:50:29 2014 elapsed time 01:15:02 Sat Nov 22 00:59:48 2014 Sat Nov 22 00:59:48 2014 Sat Nov 22 00:59:48 2014 Msieve v. 1.53 (SVN 975) Sat Nov 22 00:59:48 2014 random seeds: 0458e5f5 a9445f9d Sat Nov 22 00:59:48 2014 MPI process 0 of 2 Sat Nov 22 00:59:48 2014 factoring 32958079601374746455681125604334597590162020226842724297840653420497157587731456649988391089731157012107894534006198057080872602349180151066090625576379519127995072703030375909029 (179 digits) Sat Nov 22 00:59:50 2014 no P-1/P+1/ECM available, skipping Sat Nov 22 00:59:50 2014 commencing number field sieve (179-digit input) Sat Nov 22 00:59:50 2014 R0: -1000000000000000000000000000000000000000 Sat Nov 22 00:59:50 2014 R1: 1 Sat Nov 22 00:59:50 2014 A0: -10 Sat Nov 22 00:59:50 2014 A1: 0 Sat Nov 22 00:59:50 2014 A2: 0 Sat Nov 22 00:59:50 2014 A3: -6 Sat Nov 22 00:59:50 2014 A4: 0 Sat Nov 22 00:59:50 2014 A5: 0 Sat Nov 22 00:59:50 2014 A6: 1 Sat Nov 22 00:59:50 2014 skew 1.47, size 1.234e-11, alpha 2.240, combined = 7.455e-13 rroots = 2 Sat Nov 22 00:59:50 2014 Sat Nov 22 00:59:50 2014 commencing linear algebra Sat Nov 22 00:59:50 2014 initialized process (0,0) of 2 x 1 grid Sat Nov 22 00:59:54 2014 read 8583016 cycles Sat Nov 22 01:00:15 2014 cycles contain 23876035 unique relations Sat Nov 22 01:05:39 2014 read 23876035 relations Sat Nov 22 01:06:34 2014 using 20 quadratic characters above 1073740490 Sat Nov 22 01:08:56 2014 building initial matrix Sat Nov 22 01:14:28 2014 memory use: 3126.0 MB Sat Nov 22 01:14:43 2014 read 8583016 cycles Sat Nov 22 01:14:45 2014 matrix is 8582839 x 8583016 (2542.3 MB) with weight 746243131 (86.94/col) Sat Nov 22 01:14:45 2014 sparse part has weight 580605868 (67.65/col) Sat Nov 22 01:16:41 2014 filtering completed in 2 passes Sat Nov 22 01:16:44 2014 matrix is 8581421 x 8581598 (2542.2 MB) with weight 746208087 (86.95/col) Sat Nov 22 01:16:44 2014 sparse part has weight 580597457 (67.66/col) Sat Nov 22 01:17:35 2014 matrix starts at (0, 0) Sat Nov 22 01:17:36 2014 matrix is 4290767 x 8581598 (1487.1 MB) with weight 469624590 (54.72/col) Sat Nov 22 01:17:36 2014 sparse part has weight 304013960 (35.43/col) Sat Nov 22 01:17:36 2014 saving the first 48 matrix rows for later Sat Nov 22 01:17:38 2014 matrix includes 64 packed rows Sat Nov 22 01:17:39 2014 matrix is 4290719 x 8581598 (1384.5 MB) with weight 312958637 (36.47/col) Sat Nov 22 01:17:39 2014 sparse part has weight 277114483 (32.29/col) Sat Nov 22 01:17:39 2014 using block size 8192 and superblock size 1474560 for processor cache size 15360 kB Sat Nov 22 01:18:03 2014 commencing Lanczos iteration (12 threads) Sat Nov 22 01:18:03 2014 memory use: 1073.9 MB Sat Nov 22 01:18:35 2014 linear algebra at 0.0%, ETA 48h49m Sat Nov 22 01:18:46 2014 checkpointing every 180000 dimensions Sun Nov 23 03:54:38 2014 lanczos halted after 135711 iterations (dim = 8581371) Sun Nov 23 03:54:48 2014 recovered 38 nontrivial dependencies Sun Nov 23 03:54:48 2014 BLanczosTime: 96898 Sun Nov 23 03:54:48 2014 elapsed time 26:55:00 Sun Nov 23 06:16:06 2014 Sun Nov 23 06:16:06 2014 Msieve v. 1.53 (SVN 975) Sun Nov 23 06:16:06 2014 random seeds: 0e90c85c ccd61bf4 Sun Nov 23 06:16:06 2014 factoring 32958079601374746455681125604334597590162020226842724297840653420497157587731456649988391089731157012107894534006198057080872602349180151066090625576379519127995072703030375909029 (179 digits) Sun Nov 23 06:16:07 2014 no P-1/P+1/ECM available, skipping Sun Nov 23 06:16:07 2014 commencing number field sieve (179-digit input) Sun Nov 23 06:16:08 2014 R0: -1000000000000000000000000000000000000000 Sun Nov 23 06:16:08 2014 R1: 1 Sun Nov 23 06:16:08 2014 A0: -10 Sun Nov 23 06:16:08 2014 A1: 0 Sun Nov 23 06:16:08 2014 A2: 0 Sun Nov 23 06:16:08 2014 A3: -6 Sun Nov 23 06:16:08 2014 A4: 0 Sun Nov 23 06:16:08 2014 A5: 0 Sun Nov 23 06:16:08 2014 A6: 1 Sun Nov 23 06:16:08 2014 skew 1.47, size 1.234e-11, alpha 2.240, combined = 7.455e-13 rroots = 2 Sun Nov 23 06:16:08 2014 Sun Nov 23 06:16:08 2014 commencing square root phase Sun Nov 23 06:16:08 2014 handling dependencies 1 to 1 Sun Nov 23 06:16:08 2014 reading relations for dependency 1 Sun Nov 23 06:16:13 2014 read 4290059 cycles Sun Nov 23 06:16:20 2014 cycles contain 11932094 unique relations Sun Nov 23 06:19:13 2014 read 11932094 relations Sun Nov 23 06:20:31 2014 multiplying 11932094 relations Sun Nov 23 06:32:28 2014 multiply complete, coefficients have about 299.88 million bits Sun Nov 23 06:32:31 2014 initial square root is modulo 240349 Sun Nov 23 06:45:13 2014 sqrtTime: 1745 Sun Nov 23 06:45:13 2014 prp58 factor: 1164986897093292966798815637820983134287878590251485642491 Sun Nov 23 06:45:13 2014 prp122 factor: 28290515269834352784047735521323580652490957235445050598845535832274898666491603349215692426380306111920953933603607338719 Sun Nov 23 06:45:13 2014 elapsed time 00:29:07 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 118 | Makoto Kamada | January 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 1800 | 1000 | Dmitry Domanov | January 10, 2012 09:06:57 UTC 2012 年 1 月 10 日 (火) 18 時 6 分 57 秒 (日本時間) |
800 | Youcef Lemsafer | December 8, 2013 18:44:48 UTC 2013 年 12 月 9 日 (月) 3 時 44 分 48 秒 (日本時間) | |||
45 | 11e6 | 4070 | 274 | Youcef Lemsafer | December 8, 2013 19:57:20 UTC 2013 年 12 月 9 日 (月) 4 時 57 分 20 秒 (日本時間) |
3796 | Youcef Lemsafer | March 21, 2014 06:02:06 UTC 2014 年 3 月 21 日 (金) 15 時 2 分 6 秒 (日本時間) | |||
50 | 43e6 | 480 | Youcef Lemsafer | March 21, 2014 14:54:42 UTC 2014 年 3 月 21 日 (金) 23 時 54 分 42 秒 (日本時間) | |
55 | 11e7 | 2074 / 14651 | 1114 | Youcef Lemsafer | March 24, 2014 12:56:43 UTC 2014 年 3 月 24 日 (月) 21 時 56 分 43 秒 (日本時間) |
960 | Youcef Lemsafer | March 26, 2014 15:11:39 UTC 2014 年 3 月 27 日 (木) 0 時 11 分 39 秒 (日本時間) | |||
60 | 26e7 | 1152 / 41111 | Youcef Lemsafer | March 26, 2014 19:26:51 UTC 2014 年 3 月 27 日 (木) 4 時 26 分 51 秒 (日本時間) |
name 名前 | Youcef Lemsafer |
---|---|
date 日付 | February 14, 2015 07:10:18 UTC 2015 年 2 月 14 日 (土) 16 時 10 分 18 秒 (日本時間) |
composite number 合成数 | 1643330400780842131072588741269015967541374840824666241026127272507591935070218783207361447405230077964293845996082753290769590606493634528293712563564195099971051680452746610036738256200227811017114671<202> |
prime factors 素因数 | 198110294593154234420135842459713100958546421404565418331239777<63> 8295027798306186289716665721886800753048725226772138146767678694695715573654690625001173845272231663913131005532902211611078753223640257423<139> |
factorization results 素因数分解の結果 | <Parameters were as follows:> # # 33133_117, C202, SNFS_diff=235 # n: 1643330400780842131072588741269015967541374840824666241026127272507591935070218783207361447405230077964293845996082753290769590606493634528293712563564195099971051680452746610036738256200227811017114671 m: 1000000000000000000000000000000000000000 deg: 6 c6: 10 c3: -6 c0: -1 skew: 0.68 # Murphy_E = 7.748e-13 type: snfs lss: 1 rlim: 58000000 alim: 58000000 lpbr: 30 lpba: 30 mfbr: 60 mfba: 60 rlambda: 2.7 alambda: 2.7 <Sieving from 20M to 128M with gnfs-lasieve4I14e using 2048 threads on 64x {Dual Intel Xeon E5-2680 v2 running Linux Ubuntu 64-bit}> <took ~ 4 hours.> <Post-processing on Intel Core i7-5820K @ 3.3GHz running Window 7 Pro 64-bit:> Fri Feb 13 00:56:47 2015 Fri Feb 13 00:56:47 2015 Fri Feb 13 00:56:47 2015 Msieve v. 1.53 (SVN 975M) Fri Feb 13 00:56:47 2015 random seeds: 28b21e24 38024518 Fri Feb 13 00:56:47 2015 factoring 1643330400780842131072588741269015967541374840824666241026127272507591935070218783207361447405230077964293845996082753290769590606493634528293712563564195099971051680452746610036738256200227811017114671 (202 digits) Fri Feb 13 00:56:47 2015 searching for 15-digit factors Fri Feb 13 00:56:49 2015 commencing number field sieve (202-digit input) Fri Feb 13 00:56:49 2015 R0: -1000000000000000000000000000000000000000 Fri Feb 13 00:56:49 2015 R1: 1 Fri Feb 13 00:56:49 2015 A0: -1 Fri Feb 13 00:56:49 2015 A1: 0 Fri Feb 13 00:56:49 2015 A2: 0 Fri Feb 13 00:56:49 2015 A3: -6 Fri Feb 13 00:56:49 2015 A4: 0 Fri Feb 13 00:56:49 2015 A5: 0 Fri Feb 13 00:56:49 2015 A6: 10 Fri Feb 13 00:56:49 2015 skew 0.68, size 1.106e-011, alpha 2.240, combined = 6.882e-013 rroots = 2 Fri Feb 13 00:56:49 2015 Fri Feb 13 00:56:49 2015 commencing relation filtering Fri Feb 13 00:56:49 2015 setting target matrix density to 120.0 Fri Feb 13 00:56:49 2015 estimated available RAM is 65426.9 MB Fri Feb 13 00:56:49 2015 commencing duplicate removal, pass 1 Fri Feb 13 01:12:56 2015 skipped 28 relations with b > 2^32 Fri Feb 13 01:12:56 2015 found 24273068 hash collisions in 117200121 relations Fri Feb 13 01:13:15 2015 added 406196 free relations Fri Feb 13 01:13:15 2015 commencing duplicate removal, pass 2 Fri Feb 13 01:14:10 2015 found 24329914 duplicates and 93276403 unique relations Fri Feb 13 01:14:10 2015 memory use: 660.8 MB Fri Feb 13 01:14:10 2015 reading ideals above 720000 Fri Feb 13 01:14:10 2015 commencing singleton removal, initial pass Fri Feb 13 01:26:06 2015 memory use: 2756.0 MB Fri Feb 13 01:26:06 2015 reading all ideals from disk Fri Feb 13 01:26:08 2015 memory use: 3566.1 MB Fri Feb 13 01:26:18 2015 keeping 89551177 ideals with weight <= 200, target excess is 501104 Fri Feb 13 01:26:29 2015 commencing in-memory singleton removal Fri Feb 13 01:26:37 2015 begin with 93276403 relations and 89551177 unique ideals Fri Feb 13 01:27:59 2015 reduce to 56494873 relations and 48662649 ideals in 15 passes Fri Feb 13 01:27:59 2015 max relations containing the same ideal: 149 Fri Feb 13 01:28:26 2015 removing 5865209 relations and 4865209 ideals in 1000000 cliques Fri Feb 13 01:28:28 2015 commencing in-memory singleton removal Fri Feb 13 01:28:32 2015 begin with 50629664 relations and 48662649 unique ideals Fri Feb 13 01:29:11 2015 reduce to 50182960 relations and 43340688 ideals in 9 passes Fri Feb 13 01:29:11 2015 max relations containing the same ideal: 139 Fri Feb 13 01:29:34 2015 removing 4474205 relations and 3474205 ideals in 1000000 cliques Fri Feb 13 01:29:35 2015 commencing in-memory singleton removal Fri Feb 13 01:29:39 2015 begin with 45708755 relations and 43340688 unique ideals Fri Feb 13 01:30:10 2015 reduce to 45417293 relations and 39569313 ideals in 8 passes Fri Feb 13 01:30:10 2015 max relations containing the same ideal: 132 Fri Feb 13 01:30:31 2015 removing 4035352 relations and 3035352 ideals in 1000000 cliques Fri Feb 13 01:30:33 2015 commencing in-memory singleton removal Fri Feb 13 01:30:36 2015 begin with 41381941 relations and 39569313 unique ideals Fri Feb 13 01:31:04 2015 reduce to 41125221 relations and 36272088 ideals in 8 passes Fri Feb 13 01:31:04 2015 max relations containing the same ideal: 120 Fri Feb 13 01:31:24 2015 removing 3796891 relations and 2796891 ideals in 1000000 cliques Fri Feb 13 01:31:25 2015 commencing in-memory singleton removal Fri Feb 13 01:31:28 2015 begin with 37328330 relations and 36272088 unique ideals Fri Feb 13 01:31:53 2015 reduce to 37084032 relations and 33225684 ideals in 8 passes Fri Feb 13 01:31:53 2015 max relations containing the same ideal: 113 Fri Feb 13 01:32:10 2015 removing 3649955 relations and 2649955 ideals in 1000000 cliques Fri Feb 13 01:32:11 2015 commencing in-memory singleton removal Fri Feb 13 01:32:14 2015 begin with 33434077 relations and 33225684 unique ideals Fri Feb 13 01:32:33 2015 reduce to 33188397 relations and 30324386 ideals in 7 passes Fri Feb 13 01:32:33 2015 max relations containing the same ideal: 104 Fri Feb 13 01:32:49 2015 removing 3545420 relations and 2545420 ideals in 1000000 cliques Fri Feb 13 01:32:50 2015 commencing in-memory singleton removal Fri Feb 13 01:32:52 2015 begin with 29642977 relations and 30324386 unique ideals Fri Feb 13 01:33:11 2015 reduce to 29389191 relations and 27518652 ideals in 8 passes Fri Feb 13 01:33:11 2015 max relations containing the same ideal: 95 Fri Feb 13 01:33:25 2015 removing 3479905 relations and 2479905 ideals in 1000000 cliques Fri Feb 13 01:33:26 2015 commencing in-memory singleton removal Fri Feb 13 01:33:28 2015 begin with 25909286 relations and 27518652 unique ideals Fri Feb 13 01:33:44 2015 reduce to 25632643 relations and 24753999 ideals in 8 passes Fri Feb 13 01:33:44 2015 max relations containing the same ideal: 88 Fri Feb 13 01:33:55 2015 removing 1299351 relations and 1001988 ideals in 297363 cliques Fri Feb 13 01:33:56 2015 commencing in-memory singleton removal Fri Feb 13 01:33:58 2015 begin with 24333292 relations and 24753999 unique ideals Fri Feb 13 01:34:09 2015 reduce to 24292963 relations and 23711271 ideals in 6 passes Fri Feb 13 01:34:09 2015 max relations containing the same ideal: 85 Fri Feb 13 01:34:23 2015 relations with 0 large ideals: 6267 Fri Feb 13 01:34:23 2015 relations with 1 large ideals: 6553 Fri Feb 13 01:34:23 2015 relations with 2 large ideals: 94327 Fri Feb 13 01:34:23 2015 relations with 3 large ideals: 631364 Fri Feb 13 01:34:23 2015 relations with 4 large ideals: 2289391 Fri Feb 13 01:34:23 2015 relations with 5 large ideals: 4927410 Fri Feb 13 01:34:23 2015 relations with 6 large ideals: 6595440 Fri Feb 13 01:34:23 2015 relations with 7+ large ideals: 9742211 Fri Feb 13 01:34:23 2015 commencing 2-way merge Fri Feb 13 01:34:38 2015 reduce to 16351117 relation sets and 15769425 unique ideals Fri Feb 13 01:34:38 2015 commencing full merge Fri Feb 13 01:40:14 2015 memory use: 2009.6 MB Fri Feb 13 01:40:15 2015 found 7340593 cycles, need 7293625 Fri Feb 13 01:40:16 2015 weight of 7293625 cycles is about 875475622 (120.03/cycle) Fri Feb 13 01:40:16 2015 distribution of cycle lengths: Fri Feb 13 01:40:16 2015 1 relations: 216315 Fri Feb 13 01:40:16 2015 2 relations: 417354 Fri Feb 13 01:40:16 2015 3 relations: 526255 Fri Feb 13 01:40:16 2015 4 relations: 557706 Fri Feb 13 01:40:16 2015 5 relations: 574912 Fri Feb 13 01:40:16 2015 6 relations: 567623 Fri Feb 13 01:40:16 2015 7 relations: 553233 Fri Feb 13 01:40:16 2015 8 relations: 524068 Fri Feb 13 01:40:16 2015 9 relations: 490866 Fri Feb 13 01:40:16 2015 10+ relations: 2865293 Fri Feb 13 01:40:16 2015 heaviest cycle: 28 relations Fri Feb 13 01:40:17 2015 commencing cycle optimization Fri Feb 13 01:40:29 2015 start with 63952663 relations Fri Feb 13 01:43:01 2015 pruned 2999683 relations Fri Feb 13 01:43:01 2015 memory use: 1672.9 MB Fri Feb 13 01:43:01 2015 distribution of cycle lengths: Fri Feb 13 01:43:01 2015 1 relations: 216315 Fri Feb 13 01:43:01 2015 2 relations: 429718 Fri Feb 13 01:43:01 2015 3 relations: 551612 Fri Feb 13 01:43:01 2015 4 relations: 583968 Fri Feb 13 01:43:01 2015 5 relations: 606553 Fri Feb 13 01:43:01 2015 6 relations: 595479 Fri Feb 13 01:43:01 2015 7 relations: 582710 Fri Feb 13 01:43:01 2015 8 relations: 549364 Fri Feb 13 01:43:01 2015 9 relations: 512376 Fri Feb 13 01:43:01 2015 10+ relations: 2665530 Fri Feb 13 01:43:01 2015 heaviest cycle: 28 relations Fri Feb 13 01:43:12 2015 RelProcTime: 2783 Fri Feb 13 01:43:12 2015 elapsed time 00:46:25 Fri Feb 13 01:44:11 2015 <...snipped...> Fri Feb 13 01:44:13 2015 Fri Feb 13 01:44:13 2015 commencing linear algebra Fri Feb 13 01:44:15 2015 read 7293625 cycles Fri Feb 13 01:44:30 2015 cycles contain 24008360 unique relations Fri Feb 13 01:46:49 2015 read 24008360 relations Fri Feb 13 01:47:31 2015 using 20 quadratic characters above 1073739750 Fri Feb 13 01:49:13 2015 building initial matrix Fri Feb 13 01:53:47 2015 memory use: 3163.4 MB Fri Feb 13 01:53:52 2015 read 7293625 cycles Fri Feb 13 01:53:53 2015 matrix is 7293429 x 7293625 (3379.2 MB) with weight 969365946 (132.91/col) Fri Feb 13 01:53:53 2015 sparse part has weight 812892079 (111.45/col) Fri Feb 13 01:55:24 2015 filtering completed in 2 passes Fri Feb 13 01:55:25 2015 matrix is 7293298 x 7293494 (3379.2 MB) with weight 969361663 (132.91/col) Fri Feb 13 01:55:25 2015 sparse part has weight 812890557 (111.45/col) Fri Feb 13 01:55:42 2015 matrix starts at (0, 0) Fri Feb 13 01:55:43 2015 matrix is 7293298 x 7293494 (3379.2 MB) with weight 969361663 (132.91/col) Fri Feb 13 01:55:43 2015 sparse part has weight 812890557 (111.45/col) Fri Feb 13 01:55:43 2015 saving the first 48 matrix rows for later Fri Feb 13 01:55:45 2015 matrix includes 64 packed rows Fri Feb 13 01:55:46 2015 matrix is 7293250 x 7293494 (3236.1 MB) with weight 824553860 (113.05/col) Fri Feb 13 01:55:46 2015 sparse part has weight 775385030 (106.31/col) Fri Feb 13 01:55:46 2015 using block size 8192 and superblock size 1474560 for processor cache size 15360 kB Fri Feb 13 01:56:21 2015 commencing Lanczos iteration (8 threads) Fri Feb 13 01:56:21 2015 memory use: 2741.6 MB Fri Feb 13 01:56:43 2015 linear algebra at 0.0%, ETA 28h 0m Fri Feb 13 01:56:50 2015 checkpointing every 270000 dimensions Sat Feb 14 05:46:35 2015 lanczos halted after 115334 iterations (dim = 7293247) Sat Feb 14 05:46:43 2015 recovered 36 nontrivial dependencies Sat Feb 14 05:46:47 2015 BLanczosTime: 100954 Sat Feb 14 05:46:47 2015 Sat Feb 14 05:46:47 2015 commencing square root phase Sat Feb 14 05:46:47 2015 reading relations for dependency 1 Sat Feb 14 05:46:48 2015 read 3646758 cycles Sat Feb 14 05:46:55 2015 cycles contain 12004698 unique relations Sat Feb 14 05:48:12 2015 read 12004698 relations Sat Feb 14 05:49:03 2015 multiplying 12004698 relations Sat Feb 14 05:58:37 2015 multiply complete, coefficients have about 335.50 million bits Sat Feb 14 05:58:38 2015 initial square root is modulo 1047247 Sat Feb 14 06:08:22 2015 GCD is N, no factor found Sat Feb 14 06:08:22 2015 reading relations for dependency 2 Sat Feb 14 06:08:23 2015 read 3646873 cycles Sat Feb 14 06:08:30 2015 cycles contain 12004032 unique relations Sat Feb 14 06:09:47 2015 read 12004032 relations Sat Feb 14 06:10:38 2015 multiplying 12004032 relations Sat Feb 14 06:20:17 2015 multiply complete, coefficients have about 335.47 million bits Sat Feb 14 06:20:18 2015 initial square root is modulo 1046029 Sat Feb 14 06:30:01 2015 GCD is N, no factor found Sat Feb 14 06:30:01 2015 reading relations for dependency 3 Sat Feb 14 06:30:02 2015 read 3647283 cycles Sat Feb 14 06:30:09 2015 cycles contain 12003818 unique relations Sat Feb 14 06:31:27 2015 read 12003818 relations Sat Feb 14 06:32:18 2015 multiplying 12003818 relations Sat Feb 14 06:41:46 2015 multiply complete, coefficients have about 335.47 million bits Sat Feb 14 06:41:48 2015 initial square root is modulo 1045829 Sat Feb 14 06:51:28 2015 GCD is 1, no factor found Sat Feb 14 06:51:28 2015 reading relations for dependency 4 Sat Feb 14 06:51:30 2015 read 3647186 cycles Sat Feb 14 06:51:37 2015 cycles contain 12002870 unique relations Sat Feb 14 06:52:53 2015 read 12002870 relations Sat Feb 14 06:53:45 2015 multiplying 12002870 relations Sat Feb 14 07:03:07 2015 multiply complete, coefficients have about 335.44 million bits Sat Feb 14 07:03:08 2015 initial square root is modulo 1044583 Sat Feb 14 07:12:52 2015 GCD is N, no factor found Sat Feb 14 07:12:52 2015 reading relations for dependency 5 Sat Feb 14 07:12:54 2015 read 3647169 cycles Sat Feb 14 07:13:01 2015 cycles contain 12006086 unique relations Sat Feb 14 07:14:20 2015 read 12006086 relations Sat Feb 14 07:15:12 2015 multiplying 12006086 relations Sat Feb 14 07:25:07 2015 multiply complete, coefficients have about 335.53 million bits Sat Feb 14 07:25:08 2015 initial square root is modulo 1048549 Sat Feb 14 07:35:15 2015 sqrtTime: 6508 Sat Feb 14 07:35:15 2015 prp63 factor: 198110294593154234420135842459713100958546421404565418331239777 Sat Feb 14 07:35:15 2015 prp139 factor: 8295027798306186289716665721886800753048725226772138146767678694695715573654690625001173845272231663913131005532902211611078753223640257423 Sat Feb 14 07:35:15 2015 elapsed time 29:51:04 |
software ソフトウェア | GGNFS (SVN 440), msieve 1.53 (SVN 975) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 118 | Makoto Kamada | January 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2344 | 1000 | Dmitry Domanov | January 10, 2012 09:07:07 UTC 2012 年 1 月 10 日 (火) 18 時 7 分 7 秒 (日本時間) |
1024 | Youcef Lemsafer | October 30, 2013 18:55:24 UTC 2013 年 10 月 31 日 (木) 3 時 55 分 24 秒 (日本時間) | |||
320 | Youcef Lemsafer | December 16, 2013 21:23:50 UTC 2013 年 12 月 17 日 (火) 6 時 23 分 50 秒 (日本時間) | |||
45 | 11e6 | 3093 | 21 | KTakahashi | March 22, 2014 09:11:15 UTC 2014 年 3 月 22 日 (土) 18 時 11 分 15 秒 (日本時間) |
3072 | Youcef Lemsafer | May 30, 2014 06:29:04 UTC 2014 年 5 月 30 日 (金) 15 時 29 分 4 秒 (日本時間) | |||
50 | 43e6 | 640 | Youcef Lemsafer | May 31, 2014 21:20:30 UTC 2014 年 6 月 1 日 (日) 6 時 20 分 30 秒 (日本時間) | |
55 | 11e7 | 2736 / 12865 | 64 | Youcef Lemsafer | May 31, 2014 21:20:30 UTC 2014 年 6 月 1 日 (日) 6 時 20 分 30 秒 (日本時間) |
720 | Youcef Lemsafer | September 8, 2014 10:19:59 UTC 2014 年 9 月 8 日 (月) 19 時 19 分 59 秒 (日本時間) | |||
1440 | Youcef Lemsafer | October 10, 2014 21:48:00 UTC 2014 年 10 月 11 日 (土) 6 時 48 分 0 秒 (日本時間) | |||
512 | Youcef Lemsafer | November 13, 2014 07:54:17 UTC 2014 年 11 月 13 日 (木) 16 時 54 分 17 秒 (日本時間) | |||
60 | 26e7 | 1920 / 40856 | 1280 | Youcef Lemsafer | December 10, 2014 06:31:03 UTC 2014 年 12 月 10 日 (水) 15 時 31 分 3 秒 (日本時間) |
640 | Youcef Lemsafer | February 11, 2015 15:34:52 UTC 2015 年 2 月 12 日 (木) 0 時 34 分 52 秒 (日本時間) |
name 名前 | Youcef Lemsafer |
---|---|
date 日付 | June 1, 2014 20:16:32 UTC 2014 年 6 月 2 日 (月) 5 時 16 分 32 秒 (日本時間) |
composite number 合成数 | 204781506413018762425528155416840478303312564660249976278131974805746092401063963375207209843138511629380773434056748649220757472601048503043207091867517941280693636276940955135496464408992063538512064301<204> |
prime factors 素因数 | 247546996351688779424493287073481004602217<42> 827242945505534232510598538212490480413210109633626815391416260091297956409591629944089308798501451517923224538558094561480770899737683707121526328102850994780453<162> |
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 (10^237-6*10^118-1)/(3*544099*4052089*738297008150818643003) (204 digits) Using MODMULN [mulredc:0, sqrredc:1] Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1921114954 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 65609ms Using 25 small primes for NTT Estimated memory usage: 136M Initializing tables of differences for F took 47ms Computing roots of F took 1968ms Building F from its roots took 2172ms Computing 1/F took 1062ms Initializing table of differences for G took 63ms Computing roots of G took 1594ms Building G from its roots took 2078ms Computing roots of G took 1688ms Building G from its roots took 2094ms Computing G * H took 609ms Reducing G * H mod F took 562ms Computing roots of G took 1610ms Building G from its roots took 2078ms Computing G * H took 516ms Reducing G * H mod F took 578ms Computing polyeval(F,G) took 3968ms Computing product of all F(g_i) took 16ms Step 2 took 22875ms ********** Factor found in step 2: 247546996351688779424493287073481004602217 Found probable prime factor of 42 digits: 247546996351688779424493287073481004602217 Probable prime cofactor ((10^237-6*10^118-1)/(3*544099*4052089*738297008150818643003))/247546996351688779424493287073481004602217 has 162 digits |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 118 | Makoto Kamada | January 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2440 | 1000 | Dmitry Domanov | January 10, 2012 09:07:15 UTC 2012 年 1 月 10 日 (火) 18 時 7 分 15 秒 (日本時間) |
1440 | Youcef Lemsafer | December 17, 2013 04:57:01 UTC 2013 年 12 月 17 日 (火) 13 時 57 分 1 秒 (日本時間) | |||
45 | 11e6 | 1804 / 3936 | Youcef Lemsafer | June 1, 2014 20:11:26 UTC 2014 年 6 月 2 日 (月) 5 時 11 分 26 秒 (日本時間) |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | January 7, 2012 07:06:12 UTC 2012 年 1 月 7 日 (土) 16 時 6 分 12 秒 (日本時間) |
composite number 合成数 | 16205616866806034971721198567423468974346508499846046639765342667768648613609477044743708169251462556922229244656197838169737631062926410293807833795193414037305330027387492504902199102208825578945662566645599364739818821203429108529016157<239> |
prime factors 素因数 | 1534658998761636001735168144983436181<37> |
composite cofactor 合成数の残り | 10559750980434644058734365485991474284408762166723728509522350922742246795472091149079290034396677856274609807069603347737405474350510391880558033372928468018809762789785271781032159484565661328385558697<203> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2806398581 Step 1 took 34915ms Step 2 took 12031ms ********** Factor found in step 2: 1534658998761636001735168144983436181 Found probable prime factor of 37 digits: 1534658998761636001735168144983436181 |
name 名前 | Youcef Lemsafer |
---|---|
date 日付 | July 22, 2015 21:55:11 UTC 2015 年 7 月 23 日 (木) 6 時 55 分 11 秒 (日本時間) |
composite number 合成数 | 10559750980434644058734365485991474284408762166723728509522350922742246795472091149079290034396677856274609807069603347737405474350510391880558033372928468018809762789785271781032159484565661328385558697<203> |
prime factors 素因数 | 5450722800672998903327957617679872270374306756516431625668536595913317867258865023<82> 1937312053207115058487645560358013542198686716867697280821953075384619352380307108264262471018107834244535370953029383639<121> |
factorization results 素因数分解の結果 | <Parameters were as follows:> # # 33133_121, C203, SNFS_diff=243 # n: 10559750980434644058734365485991474284408762166723728509522350922742246795472091149079290034396677856274609807069603347737405474350510391880558033372928468018809762789785271781032159484565661328385558697 m: 10000000000000000000000000000000000000000 deg: 6 c6: 1000 c3: -60 c0: -1 skew: 0.32 # Murphy_E = 4.298e-13 type: snfs lss: 1 rlim: 83000000 alim: 83000000 lpbr: 31 lpba: 31 mfbr: 62 mfba: 62 rlambda: 2.6 alambda: 2.6 <Sieved using gnfs-lasieve4I14e -r from 20e6 to 164e6> < - 12531 thread.hour> < - 14 wall clock days mostly using 24 threads on Dual Xeon E5-2620 and < 12 threads on Intel Core i7-5820K.> <Post-processing on Dual Xeon E5-2620:> Mon Jul 20 21:33:02 2015 Mon Jul 20 21:33:02 2015 Mon Jul 20 21:33:02 2015 Msieve v. 1.53 (SVN 983M) Mon Jul 20 21:33:02 2015 random seeds: 946e6a60 b18063e9 Mon Jul 20 21:33:02 2015 factoring 10559750980434644058734365485991474284408762166723728509522350922742246795472091149079290034396677856274609807069603347737405474350510391880558033372928468018809762789785271781032159484565661328385558697 (203 digits) Mon Jul 20 21:33:03 2015 no P-1/P+1/ECM available, skipping Mon Jul 20 21:33:03 2015 commencing number field sieve (203-digit input) Mon Jul 20 21:33:03 2015 R0: -10000000000000000000000000000000000000000 Mon Jul 20 21:33:03 2015 R1: 1 Mon Jul 20 21:33:03 2015 A0: -1 Mon Jul 20 21:33:03 2015 A1: 0 Mon Jul 20 21:33:03 2015 A2: 0 Mon Jul 20 21:33:03 2015 A3: -60 Mon Jul 20 21:33:03 2015 A4: 0 Mon Jul 20 21:33:03 2015 A5: 0 Mon Jul 20 21:33:03 2015 A6: 1000 Mon Jul 20 21:33:03 2015 skew 0.32, size 4.926e-012, alpha 0.082, combined = 3.813e-013 rroots = 2 Mon Jul 20 21:33:03 2015 Mon Jul 20 21:33:03 2015 commencing relation filtering Mon Jul 20 21:33:03 2015 setting target matrix density to 132.0 Mon Jul 20 21:33:03 2015 estimated available RAM is 32739.1 MB Mon Jul 20 21:33:03 2015 commencing duplicate removal, pass 1 Mon Jul 20 22:43:38 2015 skipped 342 relations with b > 2^32 Mon Jul 20 22:43:38 2015 found 46464594 hash collisions in 228738344 relations Mon Jul 20 22:44:19 2015 added 1218646 free relations Mon Jul 20 22:44:19 2015 commencing duplicate removal, pass 2 Mon Jul 20 22:50:58 2015 found 46344015 duplicates and 183612975 unique relations Mon Jul 20 22:50:58 2015 memory use: 1321.5 MB Mon Jul 20 22:50:58 2015 reading ideals above 163905536 Mon Jul 20 22:50:58 2015 commencing singleton removal, initial pass Mon Jul 20 23:34:18 2015 memory use: 3012.0 MB Mon Jul 20 23:34:18 2015 reading all ideals from disk Mon Jul 20 23:34:20 2015 memory use: 2987.1 MB Mon Jul 20 23:34:31 2015 commencing in-memory singleton removal Mon Jul 20 23:34:40 2015 begin with 183612975 relations and 152845359 unique ideals Mon Jul 20 23:36:28 2015 reduce to 111607066 relations and 72659281 ideals in 14 passes Mon Jul 20 23:36:28 2015 max relations containing the same ideal: 31 Mon Jul 20 23:36:40 2015 reading ideals above 720000 Mon Jul 20 23:36:40 2015 commencing singleton removal, initial pass Tue Jul 21 00:10:13 2015 memory use: 2756.0 MB Tue Jul 21 00:10:13 2015 reading all ideals from disk Tue Jul 21 00:10:17 2015 memory use: 4333.4 MB Tue Jul 21 00:10:36 2015 keeping 90433459 ideals with weight <= 200, target excess is 583916 Tue Jul 21 00:10:56 2015 commencing in-memory singleton removal Tue Jul 21 00:11:10 2015 begin with 111607066 relations and 90433459 unique ideals Tue Jul 21 00:13:27 2015 reduce to 111577746 relations and 90404132 ideals in 10 passes Tue Jul 21 00:13:27 2015 max relations containing the same ideal: 200 Tue Jul 21 00:14:40 2015 removing 11106094 relations and 9106094 ideals in 2000000 cliques Tue Jul 21 00:14:44 2015 commencing in-memory singleton removal Tue Jul 21 00:14:57 2015 begin with 100471652 relations and 90404132 unique ideals Tue Jul 21 00:16:59 2015 reduce to 99671565 relations and 80480036 ideals in 9 passes Tue Jul 21 00:16:59 2015 max relations containing the same ideal: 195 Tue Jul 21 00:18:10 2015 removing 8400527 relations and 6400527 ideals in 2000000 cliques Tue Jul 21 00:18:13 2015 commencing in-memory singleton removal Tue Jul 21 00:18:25 2015 begin with 91271038 relations and 80480036 unique ideals Tue Jul 21 00:20:00 2015 reduce to 90740122 relations and 73538109 ideals in 8 passes Tue Jul 21 00:20:00 2015 max relations containing the same ideal: 185 Tue Jul 21 00:21:04 2015 removing 7598593 relations and 5598593 ideals in 2000000 cliques Tue Jul 21 00:21:08 2015 commencing in-memory singleton removal Tue Jul 21 00:21:18 2015 begin with 83141529 relations and 73538109 unique ideals Tue Jul 21 00:22:37 2015 reduce to 82670122 relations and 67458338 ideals in 8 passes Tue Jul 21 00:22:37 2015 max relations containing the same ideal: 174 Tue Jul 21 00:23:32 2015 removing 7180048 relations and 5180048 ideals in 2000000 cliques Tue Jul 21 00:23:35 2015 commencing in-memory singleton removal Tue Jul 21 00:23:44 2015 begin with 75490074 relations and 67458338 unique ideals Tue Jul 21 00:24:55 2015 reduce to 75042107 relations and 61820534 ideals in 8 passes Tue Jul 21 00:24:55 2015 max relations containing the same ideal: 164 Tue Jul 21 00:25:45 2015 removing 6917190 relations and 4917190 ideals in 2000000 cliques Tue Jul 21 00:25:48 2015 commencing in-memory singleton removal Tue Jul 21 00:25:56 2015 begin with 68124917 relations and 61820534 unique ideals Tue Jul 21 00:27:01 2015 reduce to 67685743 relations and 56453939 ideals in 7 passes Tue Jul 21 00:27:01 2015 max relations containing the same ideal: 155 Tue Jul 21 00:27:51 2015 removing 6728166 relations and 4728166 ideals in 2000000 cliques Tue Jul 21 00:27:54 2015 commencing in-memory singleton removal Tue Jul 21 00:28:02 2015 begin with 60957577 relations and 56453939 unique ideals Tue Jul 21 00:29:03 2015 reduce to 60513440 relations and 51270150 ideals in 8 passes Tue Jul 21 00:29:03 2015 max relations containing the same ideal: 143 Tue Jul 21 00:29:47 2015 removing 6588551 relations and 4588551 ideals in 2000000 cliques Tue Jul 21 00:29:50 2015 commencing in-memory singleton removal Tue Jul 21 00:29:56 2015 begin with 53924889 relations and 51270150 unique ideals Tue Jul 21 00:30:38 2015 reduce to 53463068 relations and 46206660 ideals in 7 passes Tue Jul 21 00:30:38 2015 max relations containing the same ideal: 133 Tue Jul 21 00:31:16 2015 removing 6477738 relations and 4477738 ideals in 2000000 cliques Tue Jul 21 00:31:18 2015 commencing in-memory singleton removal Tue Jul 21 00:31:24 2015 begin with 46985330 relations and 46206660 unique ideals Tue Jul 21 00:31:59 2015 reduce to 46493131 relations and 41221081 ideals in 7 passes Tue Jul 21 00:31:59 2015 max relations containing the same ideal: 125 Tue Jul 21 00:32:34 2015 removing 6389200 relations and 4389200 ideals in 2000000 cliques Tue Jul 21 00:32:36 2015 commencing in-memory singleton removal Tue Jul 21 00:32:40 2015 begin with 40103931 relations and 41221081 unique ideals Tue Jul 21 00:33:14 2015 reduce to 39559826 relations and 36268066 ideals in 7 passes Tue Jul 21 00:33:14 2015 max relations containing the same ideal: 113 Tue Jul 21 00:33:43 2015 removing 6332567 relations and 4332567 ideals in 2000000 cliques Tue Jul 21 00:33:45 2015 commencing in-memory singleton removal Tue Jul 21 00:33:49 2015 begin with 33227259 relations and 36268066 unique ideals Tue Jul 21 00:34:21 2015 reduce to 32589406 relations and 31270150 ideals in 8 passes Tue Jul 21 00:34:21 2015 max relations containing the same ideal: 98 Tue Jul 21 00:34:44 2015 removing 2539873 relations and 1897960 ideals in 641913 cliques Tue Jul 21 00:34:45 2015 commencing in-memory singleton removal Tue Jul 21 00:34:49 2015 begin with 30049533 relations and 31270150 unique ideals Tue Jul 21 00:35:07 2015 reduce to 29918960 relations and 29239488 ideals in 6 passes Tue Jul 21 00:35:07 2015 max relations containing the same ideal: 92 Tue Jul 21 00:35:33 2015 relations with 0 large ideals: 22095 Tue Jul 21 00:35:33 2015 relations with 1 large ideals: 8874 Tue Jul 21 00:35:33 2015 relations with 2 large ideals: 112832 Tue Jul 21 00:35:33 2015 relations with 3 large ideals: 764857 Tue Jul 21 00:35:33 2015 relations with 4 large ideals: 2776762 Tue Jul 21 00:35:33 2015 relations with 5 large ideals: 5983921 Tue Jul 21 00:35:33 2015 relations with 6 large ideals: 8007907 Tue Jul 21 00:35:33 2015 relations with 7+ large ideals: 12241712 Tue Jul 21 00:35:33 2015 commencing 2-way merge Tue Jul 21 00:36:01 2015 reduce to 19886807 relation sets and 19207335 unique ideals Tue Jul 21 00:36:01 2015 commencing full merge Tue Jul 21 00:58:21 2015 memory use: 890.1 MB Tue Jul 21 00:58:26 2015 found 42363 cycles, need 4240616 Tue Jul 21 00:58:26 2015 too few cycles, matrix probably cannot build Tue Jul 21 00:58:31 2015 Tue Jul 21 00:58:31 2015 Tue Jul 21 00:58:31 2015 Msieve v. 1.53 (SVN 983M) Tue Jul 21 00:58:31 2015 random seeds: 2c2c6788 98f282da Tue Jul 21 00:58:31 2015 factoring 10559750980434644058734365485991474284408762166723728509522350922742246795472091149079290034396677856274609807069603347737405474350510391880558033372928468018809762789785271781032159484565661328385558697 (203 digits) Tue Jul 21 00:58:32 2015 no P-1/P+1/ECM available, skipping Tue Jul 21 00:58:32 2015 commencing number field sieve (203-digit input) Tue Jul 21 00:58:32 2015 R0: -10000000000000000000000000000000000000000 Tue Jul 21 00:58:32 2015 R1: 1 Tue Jul 21 00:58:32 2015 A0: -1 Tue Jul 21 00:58:32 2015 A1: 0 Tue Jul 21 00:58:32 2015 A2: 0 Tue Jul 21 00:58:32 2015 A3: -60 Tue Jul 21 00:58:32 2015 A4: 0 Tue Jul 21 00:58:32 2015 A5: 0 Tue Jul 21 00:58:32 2015 A6: 1000 Tue Jul 21 00:58:32 2015 skew 0.32, size 4.926e-012, alpha 0.082, combined = 3.813e-013 rroots = 2 Tue Jul 21 00:58:32 2015 Tue Jul 21 00:58:32 2015 commencing relation filtering Tue Jul 21 00:58:32 2015 setting target matrix density to 128.0 Tue Jul 21 00:58:32 2015 estimated available RAM is 32739.1 MB Tue Jul 21 00:58:32 2015 commencing duplicate removal, pass 1 Tue Jul 21 02:09:29 2015 skipped 342 relations with b > 2^32 Tue Jul 21 02:09:29 2015 found 46541616 hash collisions in 229956990 relations Tue Jul 21 02:09:59 2015 commencing duplicate removal, pass 2 Tue Jul 21 02:16:24 2015 found 46344015 duplicates and 183612975 unique relations Tue Jul 21 02:16:24 2015 memory use: 1321.5 MB Tue Jul 21 02:16:24 2015 reading ideals above 163905536 Tue Jul 21 02:16:24 2015 commencing singleton removal, initial pass Tue Jul 21 02:59:03 2015 memory use: 3012.0 MB Tue Jul 21 02:59:03 2015 reading all ideals from disk Tue Jul 21 02:59:05 2015 memory use: 2987.1 MB Tue Jul 21 02:59:14 2015 commencing in-memory singleton removal Tue Jul 21 02:59:22 2015 begin with 183612975 relations and 152845359 unique ideals Tue Jul 21 03:00:52 2015 reduce to 111607066 relations and 72659281 ideals in 14 passes Tue Jul 21 03:00:52 2015 max relations containing the same ideal: 31 Tue Jul 21 03:01:03 2015 reading ideals above 720000 Tue Jul 21 03:01:04 2015 commencing singleton removal, initial pass Tue Jul 21 03:33:17 2015 memory use: 2756.0 MB Tue Jul 21 03:33:17 2015 reading all ideals from disk Tue Jul 21 03:33:20 2015 memory use: 4333.4 MB Tue Jul 21 03:33:40 2015 keeping 90433459 ideals with weight <= 200, target excess is 583916 Tue Jul 21 03:34:00 2015 commencing in-memory singleton removal Tue Jul 21 03:34:16 2015 begin with 111607066 relations and 90433459 unique ideals Tue Jul 21 03:36:51 2015 reduce to 111577746 relations and 90404132 ideals in 10 passes Tue Jul 21 03:36:51 2015 max relations containing the same ideal: 200 Tue Jul 21 03:38:14 2015 removing 11106094 relations and 9106094 ideals in 2000000 cliques Tue Jul 21 03:38:19 2015 commencing in-memory singleton removal Tue Jul 21 03:38:33 2015 begin with 100471652 relations and 90404132 unique ideals Tue Jul 21 03:40:40 2015 reduce to 99671565 relations and 80480036 ideals in 9 passes Tue Jul 21 03:40:40 2015 max relations containing the same ideal: 195 Tue Jul 21 03:41:55 2015 removing 8400527 relations and 6400527 ideals in 2000000 cliques Tue Jul 21 03:41:58 2015 commencing in-memory singleton removal Tue Jul 21 03:42:11 2015 begin with 91271038 relations and 80480036 unique ideals Tue Jul 21 03:43:53 2015 reduce to 90740122 relations and 73538109 ideals in 8 passes Tue Jul 21 03:43:53 2015 max relations containing the same ideal: 185 Tue Jul 21 03:45:00 2015 removing 7598593 relations and 5598593 ideals in 2000000 cliques Tue Jul 21 03:45:03 2015 commencing in-memory singleton removal Tue Jul 21 03:45:15 2015 begin with 83141529 relations and 73538109 unique ideals Tue Jul 21 03:46:47 2015 reduce to 82670122 relations and 67458338 ideals in 8 passes Tue Jul 21 03:46:47 2015 max relations containing the same ideal: 174 Tue Jul 21 03:47:47 2015 removing 7180048 relations and 5180048 ideals in 2000000 cliques Tue Jul 21 03:47:50 2015 commencing in-memory singleton removal Tue Jul 21 03:48:00 2015 begin with 75490074 relations and 67458338 unique ideals Tue Jul 21 03:49:24 2015 reduce to 75042107 relations and 61820534 ideals in 8 passes Tue Jul 21 03:49:24 2015 max relations containing the same ideal: 164 Tue Jul 21 03:50:19 2015 removing 6917190 relations and 4917190 ideals in 2000000 cliques Tue Jul 21 03:50:22 2015 commencing in-memory singleton removal Tue Jul 21 03:50:30 2015 begin with 68124917 relations and 61820534 unique ideals Tue Jul 21 03:51:23 2015 reduce to 67685743 relations and 56453939 ideals in 7 passes Tue Jul 21 03:51:23 2015 max relations containing the same ideal: 155 Tue Jul 21 03:52:09 2015 removing 6728166 relations and 4728166 ideals in 2000000 cliques Tue Jul 21 03:52:11 2015 commencing in-memory singleton removal Tue Jul 21 03:52:18 2015 begin with 60957577 relations and 56453939 unique ideals Tue Jul 21 03:53:13 2015 reduce to 60513440 relations and 51270150 ideals in 8 passes Tue Jul 21 03:53:13 2015 max relations containing the same ideal: 143 Tue Jul 21 03:53:51 2015 removing 6588551 relations and 4588551 ideals in 2000000 cliques Tue Jul 21 03:53:54 2015 commencing in-memory singleton removal Tue Jul 21 03:54:00 2015 begin with 53924889 relations and 51270150 unique ideals Tue Jul 21 03:54:43 2015 reduce to 53463068 relations and 46206660 ideals in 7 passes Tue Jul 21 03:54:43 2015 max relations containing the same ideal: 133 Tue Jul 21 03:55:18 2015 removing 6477738 relations and 4477738 ideals in 2000000 cliques Tue Jul 21 03:55:20 2015 commencing in-memory singleton removal Tue Jul 21 03:55:26 2015 begin with 46985330 relations and 46206660 unique ideals Tue Jul 21 03:56:01 2015 reduce to 46493131 relations and 41221081 ideals in 7 passes Tue Jul 21 03:56:01 2015 max relations containing the same ideal: 125 Tue Jul 21 03:56:31 2015 removing 6389200 relations and 4389200 ideals in 2000000 cliques Tue Jul 21 03:56:33 2015 commencing in-memory singleton removal Tue Jul 21 03:56:37 2015 begin with 40103931 relations and 41221081 unique ideals Tue Jul 21 03:57:07 2015 reduce to 39559826 relations and 36268066 ideals in 7 passes Tue Jul 21 03:57:07 2015 max relations containing the same ideal: 113 Tue Jul 21 03:57:32 2015 removing 6332567 relations and 4332567 ideals in 2000000 cliques Tue Jul 21 03:57:34 2015 commencing in-memory singleton removal Tue Jul 21 03:57:38 2015 begin with 33227259 relations and 36268066 unique ideals Tue Jul 21 03:58:05 2015 reduce to 32589406 relations and 31270150 ideals in 8 passes Tue Jul 21 03:58:05 2015 max relations containing the same ideal: 98 Tue Jul 21 03:58:27 2015 removing 2539873 relations and 1897960 ideals in 641913 cliques Tue Jul 21 03:58:28 2015 commencing in-memory singleton removal Tue Jul 21 03:58:31 2015 begin with 30049533 relations and 31270150 unique ideals Tue Jul 21 03:58:55 2015 reduce to 29918960 relations and 29239488 ideals in 6 passes Tue Jul 21 03:58:55 2015 max relations containing the same ideal: 92 Tue Jul 21 03:59:21 2015 relations with 0 large ideals: 22095 Tue Jul 21 03:59:21 2015 relations with 1 large ideals: 8874 Tue Jul 21 03:59:21 2015 relations with 2 large ideals: 112832 Tue Jul 21 03:59:21 2015 relations with 3 large ideals: 764857 Tue Jul 21 03:59:21 2015 relations with 4 large ideals: 2776762 Tue Jul 21 03:59:21 2015 relations with 5 large ideals: 5983921 Tue Jul 21 03:59:21 2015 relations with 6 large ideals: 8007907 Tue Jul 21 03:59:21 2015 relations with 7+ large ideals: 12241712 Tue Jul 21 03:59:21 2015 commencing 2-way merge Tue Jul 21 03:59:45 2015 reduce to 19886807 relation sets and 19207335 unique ideals Tue Jul 21 03:59:45 2015 commencing full merge Tue Jul 21 04:12:09 2015 memory use: 2559.6 MB Tue Jul 21 04:12:13 2015 found 8734420 cycles, need 8729535 Tue Jul 21 04:12:14 2015 weight of 8729535 cycles is about 1117854472 (128.05/cycle) Tue Jul 21 04:12:14 2015 distribution of cycle lengths: Tue Jul 21 04:12:14 2015 1 relations: 247229 Tue Jul 21 04:12:14 2015 2 relations: 416451 Tue Jul 21 04:12:14 2015 3 relations: 524841 Tue Jul 21 04:12:14 2015 4 relations: 570252 Tue Jul 21 04:12:14 2015 5 relations: 610316 Tue Jul 21 04:12:14 2015 6 relations: 620859 Tue Jul 21 04:12:14 2015 7 relations: 617598 Tue Jul 21 04:12:14 2015 8 relations: 605271 Tue Jul 21 04:12:14 2015 9 relations: 579808 Tue Jul 21 04:12:14 2015 10+ relations: 3936910 Tue Jul 21 04:12:14 2015 heaviest cycle: 28 relations Tue Jul 21 04:12:17 2015 commencing cycle optimization Tue Jul 21 04:12:40 2015 start with 84134927 relations Tue Jul 21 04:18:47 2015 pruned 4221634 relations Tue Jul 21 04:18:47 2015 memory use: 2112.1 MB Tue Jul 21 04:18:47 2015 distribution of cycle lengths: Tue Jul 21 04:18:47 2015 1 relations: 247229 Tue Jul 21 04:18:47 2015 2 relations: 427305 Tue Jul 21 04:18:47 2015 3 relations: 547210 Tue Jul 21 04:18:47 2015 4 relations: 595946 Tue Jul 21 04:18:47 2015 5 relations: 643670 Tue Jul 21 04:18:47 2015 6 relations: 654757 Tue Jul 21 04:18:47 2015 7 relations: 655360 Tue Jul 21 04:18:47 2015 8 relations: 639236 Tue Jul 21 04:18:47 2015 9 relations: 611405 Tue Jul 21 04:18:47 2015 10+ relations: 3707417 Tue Jul 21 04:18:47 2015 heaviest cycle: 28 relations Tue Jul 21 04:19:08 2015 RelProcTime: 12036 Tue Jul 21 04:19:08 2015 elapsed time 03:20:37 Tue Jul 21 04:19:35 2015 Msieve v. 1.53 (SVN 975) Tue Jul 21 04:19:35 2015 random seeds: 6394f1ba c4486abd Tue Jul 21 04:19:35 2015 MPI process 0 of 2 Tue Jul 21 04:19:35 2015 factoring 10559750980434644058734365485991474284408762166723728509522350922742246795472091149079290034396677856274609807069603347737405474350510391880558033372928468018809762789785271781032159484565661328385558697 (203 digits) Tue Jul 21 04:19:36 2015 no P-1/P+1/ECM available, skipping Tue Jul 21 04:19:36 2015 commencing number field sieve (203-digit input) Tue Jul 21 04:19:36 2015 R0: -10000000000000000000000000000000000000000 Tue Jul 21 04:19:36 2015 R1: 1 Tue Jul 21 04:19:36 2015 A0: -1 Tue Jul 21 04:19:36 2015 A1: 0 Tue Jul 21 04:19:36 2015 A2: 0 Tue Jul 21 04:19:36 2015 A3: -60 Tue Jul 21 04:19:36 2015 A4: 0 Tue Jul 21 04:19:36 2015 A5: 0 Tue Jul 21 04:19:36 2015 A6: 1000 Tue Jul 21 04:19:36 2015 skew 0.32, size 4.926e-12, alpha 0.082, combined = 3.813e-13 rroots = 2 Tue Jul 21 04:19:36 2015 Tue Jul 21 04:19:36 2015 commencing linear algebra Tue Jul 21 04:19:36 2015 initialized process (0,0) of 1 x 2 grid Tue Jul 21 04:19:41 2015 read 8729535 cycles Tue Jul 21 04:20:08 2015 cycles contain 29570566 unique relations Tue Jul 21 04:30:10 2015 read 29570566 relations Tue Jul 21 04:31:30 2015 using 20 quadratic characters above 2147483564 Tue Jul 21 04:34:16 2015 building initial matrix Tue Jul 21 04:42:52 2015 memory use: 3915.4 MB Tue Jul 21 04:43:12 2015 read 8729535 cycles Tue Jul 21 04:43:14 2015 matrix is 8729358 x 8729535 (4311.9 MB) with weight 1261673135 (144.53/col) Tue Jul 21 04:43:14 2015 sparse part has weight 1034317429 (118.48/col) Tue Jul 21 04:46:20 2015 filtering completed in 2 passes Tue Jul 21 04:46:23 2015 matrix is 8729321 x 8729498 (4311.9 MB) with weight 1261671883 (144.53/col) Tue Jul 21 04:46:23 2015 sparse part has weight 1034317117 (118.49/col) Tue Jul 21 04:47:10 2015 matrix starts at (0, 0) Tue Jul 21 04:47:11 2015 matrix is 8729321 x 4364752 (2156.0 MB) with weight 630833102 (144.53/col) Tue Jul 21 04:47:11 2015 sparse part has weight 517158732 (118.49/col) Tue Jul 21 04:47:11 2015 saving the first 48 matrix rows for later Tue Jul 21 04:47:13 2015 matrix includes 64 packed rows Tue Jul 21 04:47:14 2015 matrix is 8729273 x 4364752 (2078.7 MB) with weight 542647631 (124.32/col) Tue Jul 21 04:47:14 2015 sparse part has weight 501280937 (114.85/col) Tue Jul 21 04:47:14 2015 using block size 8192 and superblock size 1474560 for processor cache size 15360 kB Tue Jul 21 04:47:51 2015 commencing Lanczos iteration (6 threads) Tue Jul 21 04:47:51 2015 memory use: 1799.8 MB Tue Jul 21 04:48:18 2015 linear algebra at 0.0%, ETA 40h 0m Tue Jul 21 04:48:26 2015 checkpointing every 230000 dimensions Wed Jul 22 20:29:55 2015 lanczos halted after 138050 iterations (dim = 8729272) Wed Jul 22 20:30:06 2015 recovered 38 nontrivial dependencies Wed Jul 22 20:30:07 2015 BLanczosTime: 144631 Wed Jul 22 20:30:07 2015 elapsed time 40:10:32 Wed Jul 22 20:30:12 2015 Wed Jul 22 20:30:12 2015 Wed Jul 22 20:30:12 2015 Msieve v. 1.53 (SVN 983M) Wed Jul 22 20:30:12 2015 random seeds: 01880fa8 268e8d39 Wed Jul 22 20:30:12 2015 factoring 10559750980434644058734365485991474284408762166723728509522350922742246795472091149079290034396677856274609807069603347737405474350510391880558033372928468018809762789785271781032159484565661328385558697 (203 digits) Wed Jul 22 20:30:13 2015 no P-1/P+1/ECM available, skipping Wed Jul 22 20:30:13 2015 commencing number field sieve (203-digit input) Wed Jul 22 20:30:13 2015 R0: -10000000000000000000000000000000000000000 Wed Jul 22 20:30:13 2015 R1: 1 Wed Jul 22 20:30:13 2015 A0: -1 Wed Jul 22 20:30:13 2015 A1: 0 Wed Jul 22 20:30:13 2015 A2: 0 Wed Jul 22 20:30:13 2015 A3: -60 Wed Jul 22 20:30:13 2015 A4: 0 Wed Jul 22 20:30:13 2015 A5: 0 Wed Jul 22 20:30:13 2015 A6: 1000 Wed Jul 22 20:30:13 2015 skew 0.32, size 4.926e-012, alpha 0.082, combined = 3.813e-013 rroots = 2 Wed Jul 22 20:30:13 2015 Wed Jul 22 20:30:13 2015 commencing square root phase Wed Jul 22 20:30:13 2015 reading relations for dependency 1 Wed Jul 22 20:30:16 2015 read 4363495 cycles Wed Jul 22 20:30:28 2015 cycles contain 14783962 unique relations Wed Jul 22 20:38:11 2015 read 14783962 relations Wed Jul 22 20:40:06 2015 multiplying 14783962 relations Wed Jul 22 20:58:42 2015 multiply complete, coefficients have about 506.00 million bits Wed Jul 22 20:58:47 2015 initial square root is modulo 1200101963 Wed Jul 22 21:21:49 2015 sqrtTime: 3096 Wed Jul 22 21:21:49 2015 p82 factor: 5450722800672998903327957617679872270374306756516431625668536595913317867258865023 Wed Jul 22 21:21:49 2015 p121 factor: 1937312053207115058487645560358013542198686716867697280821953075384619352380307108264262471018107834244535370953029383639 Wed Jul 22 21:21:49 2015 elapsed time 00:51:37 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 118 | Makoto Kamada | January 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2440 | 1000 | Dmitry Domanov | January 10, 2012 09:13:33 UTC 2012 年 1 月 10 日 (火) 18 時 13 分 33 秒 (日本時間) |
1440 | Youcef Lemsafer | December 17, 2013 04:57:31 UTC 2013 年 12 月 17 日 (火) 13 時 57 分 31 秒 (日本時間) | |||
45 | 11e6 | 3072 | Youcef Lemsafer | June 3, 2014 15:01:23 UTC 2014 年 6 月 4 日 (水) 0 時 1 分 23 秒 (日本時間) | |
50 | 43e6 | 641 | 640 | Youcef Lemsafer | June 4, 2014 22:33:30 UTC 2014 年 6 月 5 日 (木) 7 時 33 分 30 秒 (日本時間) |
1 | KTakahashi | June 5, 2014 13:00:04 UTC 2014 年 6 月 5 日 (木) 22 時 0 分 4 秒 (日本時間) | |||
55 | 11e7 | 2736 | 64 | Youcef Lemsafer | June 4, 2014 23:14:35 UTC 2014 年 6 月 5 日 (木) 8 時 14 分 35 秒 (日本時間) |
720 | Youcef Lemsafer | September 12, 2014 14:38:28 UTC 2014 年 9 月 12 日 (金) 23 時 38 分 28 秒 (日本時間) | |||
1440 | Youcef Lemsafer | October 9, 2014 20:48:21 UTC 2014 年 10 月 10 日 (金) 5 時 48 分 21 秒 (日本時間) | |||
512 | Youcef Lemsafer | November 13, 2014 20:03:50 UTC 2014 年 11 月 14 日 (金) 5 時 3 分 50 秒 (日本時間) | |||
60 | 26e7 | 7424 / 40560 | Youcef Lemsafer | July 5, 2015 19:31:42 UTC 2015 年 7 月 6 日 (月) 4 時 31 分 42 秒 (日本時間) | |
65 | 85e7 | 96 / 67073 | Youcef Lemsafer | July 6, 2015 18:13:05 UTC 2015 年 7 月 7 日 (火) 3 時 13 分 5 秒 (日本時間) |
name 名前 | Youcef Lemsafer |
---|---|
date 日付 | January 18, 2016 19:37:26 UTC 2016 年 1 月 19 日 (火) 4 時 37 分 26 秒 (日本時間) |
composite number 合成数 | 1326209233981907691008196173204120435521104629627139757032659941672688091623010713526544805355986363619399191353148036173945570450010751900459945099115386483202099482460822260158318661962775422813653632523<205> |
prime factors 素因数 | 454544244432637954140219618238225452650553249924038778583<57> 2917668082316787056299064116330324245622935748515332728937294970702732363538257028999722895674557059355553278489925704468320134867148525508643123181<148> |
factorization results 素因数分解の結果 | <Parameters were as follows:> # # 33133_122, C205, SNFS_diff = 246 # f(X) = X^6-6*X^3-10 # g(X) = X-10^41 # n: 1326209233981907691008196173204120435521104629627139757032659941672688091623010713526544805355986363619399191353148036173945570450010751900459945099115386483202099482460822260158318661962775422813653632523 m: 100000000000000000000000000000000000000000 deg: 6 c6: 1 c3: -6 c0: -10 skew: 1.47 # Murphy_E = 3.202e-13 type: snfs lss: 1 rlim: 98000000 alim: 98000000 lpbr: 31 lpba: 31 mfbr: 62 mfba: 62 rlambda: 2.7 alambda: 2.7 <Sieving from 20E6 to 183E6 using gnfs-lasieve4I14e -r took 15749 thread.hour.> <Post-processing on Intel Core-i7 5820K running Linux 64-bit Debian 8.2:> Thu Jan 14 01:24:08 2016 Thu Jan 14 01:24:08 2016 Thu Jan 14 01:24:08 2016 Msieve v. 1.53 (SVN 991) Thu Jan 14 01:24:08 2016 random seeds: 691773ea d0ce7fbc Thu Jan 14 01:24:08 2016 factoring 1326209233981907691008196173204120435521104629627139757032659941672688091623010713526544805355986363619399191353148036173945570450010751900459945099115386483202099482460822260158318661962775422813653632523 (205 digits) Thu Jan 14 01:24:09 2016 no P-1/P+1/ECM available, skipping Thu Jan 14 01:24:09 2016 commencing number field sieve (205-digit input) Thu Jan 14 01:24:09 2016 R0: -100000000000000000000000000000000000000000 Thu Jan 14 01:24:09 2016 R1: 1 Thu Jan 14 01:24:09 2016 A0: -10 Thu Jan 14 01:24:09 2016 A1: 0 Thu Jan 14 01:24:09 2016 A2: 0 Thu Jan 14 01:24:09 2016 A3: -6 Thu Jan 14 01:24:09 2016 A4: 0 Thu Jan 14 01:24:09 2016 A5: 0 Thu Jan 14 01:24:09 2016 A6: 1 Thu Jan 14 01:24:09 2016 skew 1.47, size 3.311e-12, alpha 2.240, combined = 2.838e-13 rroots = 2 Thu Jan 14 01:24:09 2016 Thu Jan 14 01:24:09 2016 commencing relation filtering Thu Jan 14 01:24:09 2016 setting target matrix density to 112.0 Thu Jan 14 01:24:09 2016 estimated available RAM is 64456.1 MB Thu Jan 14 01:24:09 2016 commencing duplicate removal, pass 1 Thu Jan 14 01:27:57 2016 error -9 reading relation 29631162 Thu Jan 14 01:27:57 2016 error -9 reading relation 29651264 Thu Jan 14 01:31:29 2016 error -15 reading relation 57126908 Thu Jan 14 01:31:29 2016 error -15 reading relation 57150561 Thu Jan 14 01:31:29 2016 error -15 reading relation 57175240 Thu Jan 14 01:31:30 2016 error -15 reading relation 57198799 Thu Jan 14 01:31:30 2016 error -9 reading relation 57221647 Thu Jan 14 01:31:30 2016 error -9 reading relation 57245571 Thu Jan 14 01:31:30 2016 error -15 reading relation 57269051 Thu Jan 14 01:31:30 2016 error -9 reading relation 57293382 Thu Jan 14 01:31:31 2016 error -1 reading relation 57340466 Thu Jan 14 01:33:39 2016 error -15 reading relation 73894697 Thu Jan 14 01:33:39 2016 error -9 reading relation 73900865 Thu Jan 14 01:33:39 2016 error -9 reading relation 73939843 Thu Jan 14 01:33:39 2016 error -5 reading relation 73946033 Thu Jan 14 01:33:40 2016 error -9 reading relation 73984893 Thu Jan 14 01:33:40 2016 error -15 reading relation 73991371 Thu Jan 14 01:33:40 2016 error -15 reading relation 74030221 Thu Jan 14 01:33:40 2016 error -9 reading relation 74052434 Thu Jan 14 01:33:40 2016 error -1 reading relation 74058739 Thu Jan 14 01:33:40 2016 error -15 reading relation 74074952 Thu Jan 14 01:33:41 2016 error -9 reading relation 74080985 Thu Jan 14 01:51:31 2016 skipped 28 relations with b > 2^32 Thu Jan 14 01:51:31 2016 skipped 17 relations with composite factors Thu Jan 14 01:51:31 2016 found 43965283 hash collisions in 211214133 relations Thu Jan 14 01:51:48 2016 added 406196 free relations Thu Jan 14 01:51:48 2016 commencing duplicate removal, pass 2 Thu Jan 14 01:55:09 2016 found 44831725 duplicates and 166788604 unique relations Thu Jan 14 01:55:09 2016 memory use: 1321.5 MB Thu Jan 14 01:55:09 2016 reading ideals above 720000 Thu Jan 14 01:55:09 2016 commencing singleton removal, initial pass Thu Jan 14 02:15:36 2016 memory use: 5512.0 MB Thu Jan 14 02:15:36 2016 reading all ideals from disk Thu Jan 14 02:15:38 2016 memory use: 6574.3 MB Thu Jan 14 02:15:58 2016 keeping 166809045 ideals with weight <= 200, target excess is 870640 Thu Jan 14 02:16:19 2016 commencing in-memory singleton removal Thu Jan 14 02:16:34 2016 begin with 166788604 relations and 166809045 unique ideals Thu Jan 14 02:19:18 2016 reduce to 89033666 relations and 78952675 ideals in 18 passes Thu Jan 14 02:19:18 2016 max relations containing the same ideal: 137 Thu Jan 14 02:20:02 2016 removing 7737596 relations and 6737596 ideals in 1000000 cliques Thu Jan 14 02:20:04 2016 commencing in-memory singleton removal Thu Jan 14 02:20:11 2016 begin with 81296070 relations and 78952675 unique ideals Thu Jan 14 02:21:24 2016 reduce to 80811493 relations and 71723302 ideals in 10 passes Thu Jan 14 02:21:24 2016 max relations containing the same ideal: 129 Thu Jan 14 02:22:03 2016 removing 5728195 relations and 4728195 ideals in 1000000 cliques Thu Jan 14 02:22:05 2016 commencing in-memory singleton removal Thu Jan 14 02:22:12 2016 begin with 75083298 relations and 71723302 unique ideals Thu Jan 14 02:23:06 2016 reduce to 74783235 relations and 66691310 ideals in 8 passes Thu Jan 14 02:23:06 2016 max relations containing the same ideal: 121 Thu Jan 14 02:23:42 2016 removing 5099818 relations and 4099818 ideals in 1000000 cliques Thu Jan 14 02:23:44 2016 commencing in-memory singleton removal Thu Jan 14 02:23:50 2016 begin with 69683417 relations and 66691310 unique ideals Thu Jan 14 02:24:39 2016 reduce to 69425176 relations and 62329934 ideals in 8 passes Thu Jan 14 02:24:39 2016 max relations containing the same ideal: 115 Thu Jan 14 02:25:13 2016 removing 4755090 relations and 3755090 ideals in 1000000 cliques Thu Jan 14 02:25:14 2016 commencing in-memory singleton removal Thu Jan 14 02:25:20 2016 begin with 64670086 relations and 62329934 unique ideals Thu Jan 14 02:26:05 2016 reduce to 64431707 relations and 58333313 ideals in 8 passes Thu Jan 14 02:26:05 2016 max relations containing the same ideal: 110 Thu Jan 14 02:26:36 2016 removing 4530421 relations and 3530421 ideals in 1000000 cliques Thu Jan 14 02:26:38 2016 commencing in-memory singleton removal Thu Jan 14 02:26:43 2016 begin with 59901286 relations and 58333313 unique ideals Thu Jan 14 02:27:34 2016 reduce to 59672440 relations and 54570944 ideals in 10 passes Thu Jan 14 02:27:34 2016 max relations containing the same ideal: 104 Thu Jan 14 02:28:03 2016 removing 4371018 relations and 3371018 ideals in 1000000 cliques Thu Jan 14 02:28:05 2016 commencing in-memory singleton removal Thu Jan 14 02:28:09 2016 begin with 55301422 relations and 54570944 unique ideals Thu Jan 14 02:28:47 2016 reduce to 55073011 relations and 50968272 ideals in 8 passes Thu Jan 14 02:28:47 2016 max relations containing the same ideal: 101 Thu Jan 14 02:29:14 2016 removing 4253226 relations and 3253226 ideals in 1000000 cliques Thu Jan 14 02:29:15 2016 commencing in-memory singleton removal Thu Jan 14 02:29:19 2016 begin with 50819785 relations and 50968272 unique ideals Thu Jan 14 02:29:54 2016 reduce to 50586496 relations and 47478115 ideals in 8 passes Thu Jan 14 02:29:54 2016 max relations containing the same ideal: 94 Thu Jan 14 02:30:18 2016 removing 4164398 relations and 3164398 ideals in 1000000 cliques Thu Jan 14 02:30:19 2016 commencing in-memory singleton removal Thu Jan 14 02:30:23 2016 begin with 46422098 relations and 47478115 unique ideals Thu Jan 14 02:30:50 2016 reduce to 46179378 relations and 44066953 ideals in 7 passes Thu Jan 14 02:30:50 2016 max relations containing the same ideal: 90 Thu Jan 14 02:31:13 2016 removing 4102424 relations and 3102424 ideals in 1000000 cliques Thu Jan 14 02:31:14 2016 commencing in-memory singleton removal Thu Jan 14 02:31:17 2016 begin with 42076954 relations and 44066953 unique ideals Thu Jan 14 02:31:49 2016 reduce to 41818424 relations and 40701211 ideals in 9 passes Thu Jan 14 02:31:49 2016 max relations containing the same ideal: 83 Thu Jan 14 02:32:09 2016 removing 645335 relations and 538065 ideals in 107270 cliques Thu Jan 14 02:32:10 2016 commencing in-memory singleton removal Thu Jan 14 02:32:13 2016 begin with 41173089 relations and 40701211 unique ideals Thu Jan 14 02:32:30 2016 reduce to 41167109 relations and 40157155 ideals in 5 passes Thu Jan 14 02:32:30 2016 max relations containing the same ideal: 83 Thu Jan 14 02:32:38 2016 relations with 0 large ideals: 11026 Thu Jan 14 02:32:38 2016 relations with 1 large ideals: 15904 Thu Jan 14 02:32:38 2016 relations with 2 large ideals: 221839 Thu Jan 14 02:32:38 2016 relations with 3 large ideals: 1380026 Thu Jan 14 02:32:38 2016 relations with 4 large ideals: 4613305 Thu Jan 14 02:32:38 2016 relations with 5 large ideals: 9153154 Thu Jan 14 02:32:38 2016 relations with 6 large ideals: 11257271 Thu Jan 14 02:32:38 2016 relations with 7+ large ideals: 14514584 Thu Jan 14 02:32:38 2016 commencing 2-way merge Thu Jan 14 02:33:03 2016 reduce to 26427344 relation sets and 25417390 unique ideals Thu Jan 14 02:33:03 2016 commencing full merge Thu Jan 14 02:41:29 2016 memory use: 3165.6 MB Thu Jan 14 02:41:32 2016 found 12147803 cycles, need 12045590 Thu Jan 14 02:41:34 2016 weight of 12045590 cycles is about 1349368810 (112.02/cycle) Thu Jan 14 02:41:34 2016 distribution of cycle lengths: Thu Jan 14 02:41:34 2016 1 relations: 583315 Thu Jan 14 02:41:34 2016 2 relations: 844431 Thu Jan 14 02:41:34 2016 3 relations: 977638 Thu Jan 14 02:41:34 2016 4 relations: 987419 Thu Jan 14 02:41:34 2016 5 relations: 980782 Thu Jan 14 02:41:34 2016 6 relations: 943125 Thu Jan 14 02:41:34 2016 7 relations: 889689 Thu Jan 14 02:41:34 2016 8 relations: 832053 Thu Jan 14 02:41:34 2016 9 relations: 767892 Thu Jan 14 02:41:34 2016 10+ relations: 4239246 Thu Jan 14 02:41:34 2016 heaviest cycle: 27 relations Thu Jan 14 02:41:38 2016 commencing cycle optimization Thu Jan 14 02:41:59 2016 start with 98308808 relations Thu Jan 14 02:45:06 2016 pruned 3847257 relations Thu Jan 14 02:45:06 2016 memory use: 2720.1 MB Thu Jan 14 02:45:06 2016 distribution of cycle lengths: Thu Jan 14 02:45:06 2016 1 relations: 583315 Thu Jan 14 02:45:06 2016 2 relations: 866841 Thu Jan 14 02:45:06 2016 3 relations: 1020538 Thu Jan 14 02:45:06 2016 4 relations: 1026158 Thu Jan 14 02:45:06 2016 5 relations: 1024937 Thu Jan 14 02:45:06 2016 6 relations: 979842 Thu Jan 14 02:45:06 2016 7 relations: 925133 Thu Jan 14 02:45:06 2016 8 relations: 860453 Thu Jan 14 02:45:06 2016 9 relations: 789909 Thu Jan 14 02:45:06 2016 10+ relations: 3968464 Thu Jan 14 02:45:06 2016 heaviest cycle: 27 relations Thu Jan 14 02:45:33 2016 RelProcTime: 4884 Thu Jan 14 02:45:33 2016 elapsed time 01:21:25 Thu Jan 14 02:45:33 2016 Thu Jan 14 02:45:33 2016 Thu Jan 14 02:45:33 2016 Msieve v. 1.53 (SVN 991) Thu Jan 14 02:45:33 2016 random seeds: 3c1ce8b1 fd95ec2e Thu Jan 14 02:45:33 2016 factoring 1326209233981907691008196173204120435521104629627139757032659941672688091623010713526544805355986363619399191353148036173945570450010751900459945099115386483202099482460822260158318661962775422813653632523 (205 digits) Thu Jan 14 02:45:35 2016 no P-1/P+1/ECM available, skipping Thu Jan 14 02:45:35 2016 commencing number field sieve (205-digit input) Thu Jan 14 02:45:35 2016 R0: -100000000000000000000000000000000000000000 Thu Jan 14 02:45:35 2016 R1: 1 Thu Jan 14 02:45:35 2016 A0: -10 Thu Jan 14 02:45:35 2016 A1: 0 Thu Jan 14 02:45:35 2016 A2: 0 Thu Jan 14 02:45:35 2016 A3: -6 Thu Jan 14 02:45:35 2016 A4: 0 Thu Jan 14 02:45:35 2016 A5: 0 Thu Jan 14 02:45:35 2016 A6: 1 Thu Jan 14 02:45:35 2016 skew 1.47, size 3.311e-12, alpha 2.240, combined = 2.838e-13 rroots = 2 Thu Jan 14 02:45:35 2016 Thu Jan 14 02:45:35 2016 commencing linear algebra Thu Jan 14 02:45:35 2016 read 12045590 cycles Thu Jan 14 02:45:59 2016 cycles contain 40620886 unique relations Thu Jan 14 02:51:17 2016 read 40620886 relations Thu Jan 14 02:52:24 2016 using 20 quadratic characters above 4294917295 Thu Jan 14 02:55:04 2016 building initial matrix Thu Jan 14 03:02:13 2016 memory use: 5357.9 MB Thu Jan 14 03:02:17 2016 read 12045590 cycles Thu Jan 14 03:02:18 2016 matrix is 12045413 x 12045590 (5299.0 MB) with weight 1521343040 (126.30/col) Thu Jan 14 03:02:18 2016 sparse part has weight 1268646884 (105.32/col) Thu Jan 14 03:04:50 2016 filtering completed in 2 passes Thu Jan 14 03:04:52 2016 matrix is 12044673 x 12044850 (5298.9 MB) with weight 1521317541 (126.30/col) Thu Jan 14 03:04:52 2016 sparse part has weight 1268637147 (105.33/col) Thu Jan 14 03:05:33 2016 matrix starts at (0, 0) Thu Jan 14 03:05:34 2016 matrix is 12044673 x 12044850 (5298.9 MB) with weight 1521317541 (126.30/col) Thu Jan 14 03:05:34 2016 sparse part has weight 1268637147 (105.33/col) Thu Jan 14 03:05:34 2016 saving the first 48 matrix rows for later Thu Jan 14 03:05:36 2016 matrix includes 64 packed rows Thu Jan 14 03:05:37 2016 matrix is 12044625 x 12044850 (5086.7 MB) with weight 1286619260 (106.82/col) Thu Jan 14 03:05:37 2016 sparse part has weight 1212996794 (100.71/col) Thu Jan 14 03:05:38 2016 using block size 8192 and superblock size 1474560 for processor cache size 15360 kB Thu Jan 14 03:06:23 2016 commencing Lanczos iteration (6 threads) Thu Jan 14 03:06:23 2016 memory use: 4334.6 MB Thu Jan 14 03:07:14 2016 linear algebra at 0.0%, ETA 108h20m Thu Jan 14 03:07:27 2016 checkpointing every 120000 dimensions Mon Jan 18 12:44:24 2016 lanczos halted after 190468 iterations (dim = 12044622) Mon Jan 18 12:44:34 2016 recovered 35 nontrivial dependencies Mon Jan 18 12:44:34 2016 BLanczosTime: 381539 Mon Jan 18 12:44:34 2016 Mon Jan 18 12:44:34 2016 commencing square root phase Mon Jan 18 12:44:34 2016 reading relations for dependency 1 Mon Jan 18 12:44:35 2016 read 6022093 cycles Mon Jan 18 12:44:46 2016 cycles contain 20309328 unique relations Mon Jan 18 12:48:38 2016 read 20309328 relations Mon Jan 18 12:50:00 2016 multiplying 20309328 relations Mon Jan 18 13:00:21 2016 multiply complete, coefficients have about 517.21 million bits Mon Jan 18 13:00:23 2016 initial square root is modulo 1907319133 Mon Jan 18 13:11:04 2016 sqrtTime: 1590 Mon Jan 18 13:11:04 2016 p57 factor: 454544244432637954140219618238225452650553249924038778583 Mon Jan 18 13:11:04 2016 p148 factor: 2917668082316787056299064116330324245622935748515332728937294970702732363538257028999722895674557059355553278489925704468320134867148525508643123181 Mon Jan 18 13:11:04 2016 elapsed time 106:25:31 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 118 | Makoto Kamada | January 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2324 | 1000 | Dmitry Domanov | January 10, 2012 09:13:44 UTC 2012 年 1 月 10 日 (火) 18 時 13 分 44 秒 (日本時間) |
1024 | Youcef Lemsafer | October 30, 2013 18:55:45 UTC 2013 年 10 月 31 日 (木) 3 時 55 分 45 秒 (日本時間) | |||
300 | Serge Batalov | January 9, 2014 04:37:41 UTC 2014 年 1 月 9 日 (木) 13 時 37 分 41 秒 (日本時間) | |||
45 | 11e6 | 3097 | 25 | KTakahashi | March 22, 2014 10:24:11 UTC 2014 年 3 月 22 日 (土) 19 時 24 分 11 秒 (日本時間) |
3072 | Youcef Lemsafer | June 6, 2014 21:36:55 UTC 2014 年 6 月 7 日 (土) 6 時 36 分 55 秒 (日本時間) | |||
50 | 43e6 | 766 | 640 | Youcef Lemsafer | June 8, 2014 06:05:24 UTC 2014 年 6 月 8 日 (日) 15 時 5 分 24 秒 (日本時間) |
126 | KTakahashi | November 1, 2014 20:27:04 UTC 2014 年 11 月 2 日 (日) 5 時 27 分 4 秒 (日本時間) | |||
55 | 11e7 | 20097 | 64 | Youcef Lemsafer | June 8, 2014 12:32:08 UTC 2014 年 6 月 8 日 (日) 21 時 32 分 8 秒 (日本時間) |
668 | Youcef Lemsafer | September 15, 2014 12:52:25 UTC 2014 年 9 月 15 日 (月) 21 時 52 分 25 秒 (日本時間) | |||
1440 | Youcef Lemsafer | October 12, 2014 02:29:27 UTC 2014 年 10 月 12 日 (日) 11 時 29 分 27 秒 (日本時間) | |||
708 | Youcef Lemsafer | November 14, 2014 18:43:52 UTC 2014 年 11 月 15 日 (土) 3 時 43 分 52 秒 (日本時間) | |||
17217 | Youcef Lemsafer | December 21, 2015 11:08:28 UTC 2015 年 12 月 21 日 (月) 20 時 8 分 28 秒 (日本時間) |
name 名前 | Youcef Lemsafer |
---|---|
date 日付 | January 13, 2016 04:59:10 UTC 2016 年 1 月 13 日 (水) 13 時 59 分 10 秒 (日本時間) |
composite number 合成数 | 3203888578627481043829880502756306341105723181338580435512126905442218542525246638870006421096587448157335159133445594401419807588751620719686333803388212836568792726353524304472643689731511296426535402987749073714343760387<223> |
prime factors 素因数 | 2481131544341310904192495731678517799374064855280443<52> 1291301376557222071822613781736643548643382673992820730908889508026526491044624544291843167888039424659060680369726071742865727787542012631270479945448117228535175213774809<172> |
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] Running on ip-172-30-0-144 Input number is (10^247-6*10^123-1)/(3*1733*47155237*12731302767679) (223 digits) [Wed Jan 13 02:38:36 2016] Using MODMULN [mulredc:2, sqrredc:2] Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=1446709723 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+07 3.6e+08 Step 1 took 1130265ms Using 27 small primes for NTT Estimated memory usage: 610M Initializing tables of differences for F took 730ms Computing roots of F took 32665ms Building F from its roots took 11902ms Computing 1/F took 4983ms Initializing table of differences for G took 616ms Computing roots of G took 27579ms Building G from its roots took 13624ms Computing roots of G took 27745ms Building G from its roots took 13691ms Computing G * H took 2745ms Reducing G * H mod F took 2861ms Computing roots of G took 26337ms Building G from its roots took 13181ms Computing G * H took 2559ms Reducing G * H mod F took 2721ms Computing roots of G took 27693ms Building G from its roots took 13168ms Computing G * H took 2572ms Reducing G * H mod F took 2708ms Computing polyeval(F,G) took 22707ms Computing product of all F(g_i) took 138ms Step 2 took 253528ms ********** Factor found in step 2: 2481131544341310904192495731678517799374064855280443 Found probable prime factor of 52 digits: 2481131544341310904192495731678517799374064855280443 Probable prime cofactor ((10^247-6*10^123-1)/(3*1733*47155237*12731302767679))/2481131544341310904192495731678517799374064855280443 has 172 digits |
execution environment 実行環境 | Linux Ubuntu 14.04 64-bit, Intel Xeon E5-2676 v3 @2.4GHz |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 118 | Makoto Kamada | January 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2440 | 1000 | Dmitry Domanov | January 10, 2012 09:13:55 UTC 2012 年 1 月 10 日 (火) 18 時 13 分 55 秒 (日本時間) |
1440 | Youcef Lemsafer | December 17, 2013 04:57:58 UTC 2013 年 12 月 17 日 (火) 13 時 57 分 58 秒 (日本時間) | |||
45 | 11e6 | 3072 | Youcef Lemsafer | June 10, 2014 11:55:00 UTC 2014 年 6 月 10 日 (火) 20 時 55 分 0 秒 (日本時間) | |
50 | 43e6 | 641 | 640 | Youcef Lemsafer | June 11, 2014 20:47:03 UTC 2014 年 6 月 12 日 (木) 5 時 47 分 3 秒 (日本時間) |
1 | KTakahashi | November 1, 2014 20:36:35 UTC 2014 年 11 月 2 日 (日) 5 時 36 分 35 秒 (日本時間) | |||
55 | 11e7 | 4488 / 17329 | 64 | Youcef Lemsafer | June 12, 2014 04:21:45 UTC 2014 年 6 月 12 日 (木) 13 時 21 分 45 秒 (日本時間) |
720 | Youcef Lemsafer | September 22, 2014 08:51:55 UTC 2014 年 9 月 22 日 (月) 17 時 51 分 55 秒 (日本時間) | |||
1440 | Youcef Lemsafer | October 13, 2014 06:49:21 UTC 2014 年 10 月 13 日 (月) 15 時 49 分 21 秒 (日本時間) | |||
656 | Youcef Lemsafer | November 15, 2014 05:52:15 UTC 2014 年 11 月 15 日 (土) 14 時 52 分 15 秒 (日本時間) | |||
1608 | Youcef Lemsafer | January 13, 2016 04:54:56 UTC 2016 年 1 月 13 日 (水) 13 時 54 分 56 秒 (日本時間) |
name 名前 | Youcef Lemsafer |
---|---|
date 日付 | March 4, 2016 05:09:06 UTC 2016 年 3 月 4 日 (金) 14 時 9 分 6 秒 (日本時間) |
composite number 合成数 | 176273576590869028732592984311651683412656442799224396263000176273576590869028732592984311651683412656442799224396263000176263000176273576590869028732592984311651683412656442799224396263000176273576590869028732592984311651683412656442799224396263<246> |
prime factors 素因数 | 3122869965450586149602388209635563015039996398669809521615568270969<67> 56446018739507533253429601119158996441320461779035094294104955989328665961081191823215573184521535202273283282298493461184647728233866474823852300590884410508485837034967839832927<179> |
factorization results 素因数分解の結果 | <Sieving from 20E+6 to 196E+6 using gnfs-lasieve4I14e took 19163 thread.hour> <Post-processing on dual Intel Xeon E5-2620 @2.0GHz:> Mon Feb 29 20:29:37 2016 Mon Feb 29 20:29:37 2016 Mon Feb 29 20:29:37 2016 Msieve v. 1.53 (SVN 983M) Mon Feb 29 20:29:37 2016 random seeds: a243fc58 fa66723a Mon Feb 29 20:29:37 2016 factoring 176273576590869028732592984311651683412656442799224396263000176273576590869028732592984311651683412656442799224396263000176263000176273576590869028732592984311651683412656442799224396263000176273576590869028732592984311651683412656442799224396263 (246 digits) Mon Feb 29 20:29:40 2016 no P-1/P+1/ECM available, skipping Mon Feb 29 20:29:40 2016 commencing number field sieve (246-digit input) Mon Feb 29 20:29:40 2016 R0: -100000000000000000000000000000000000000000 Mon Feb 29 20:29:40 2016 R1: 1 Mon Feb 29 20:29:40 2016 A0: -1 Mon Feb 29 20:29:40 2016 A1: 0 Mon Feb 29 20:29:40 2016 A2: 0 Mon Feb 29 20:29:40 2016 A3: -60 Mon Feb 29 20:29:40 2016 A4: 0 Mon Feb 29 20:29:40 2016 A5: 0 Mon Feb 29 20:29:40 2016 A6: 1000 Mon Feb 29 20:29:40 2016 skew 1.00, size 2.551e-012, alpha 0.082, combined = 2.259e-013 rroots = 2 Mon Feb 29 20:29:40 2016 Mon Feb 29 20:29:40 2016 commencing relation filtering Mon Feb 29 20:29:40 2016 setting target matrix density to 116.0 Mon Feb 29 20:29:40 2016 estimated available RAM is 32739.1 MB Mon Feb 29 20:29:40 2016 commencing duplicate removal, pass 1 Mon Feb 29 20:30:29 2016 error -1 reading relation 2692604 Mon Feb 29 20:30:30 2016 error -9 reading relation 2725904 Mon Feb 29 20:30:30 2016 error -15 reading relation 2743032 Mon Feb 29 21:36:46 2016 skipped 421 relations with b > 2^32 Mon Feb 29 21:36:46 2016 skipped 2 relations with composite factors Mon Feb 29 21:36:46 2016 found 46023733 hash collisions in 216975857 relations Mon Feb 29 21:37:27 2016 added 1218646 free relations Mon Feb 29 21:37:27 2016 commencing duplicate removal, pass 2 Mon Feb 29 21:43:37 2016 found 47209293 duplicates and 170985210 unique relations Mon Feb 29 21:43:37 2016 memory use: 1321.5 MB Mon Feb 29 21:43:37 2016 reading ideals above 172425216 Mon Feb 29 21:43:37 2016 commencing singleton removal, initial pass Mon Feb 29 22:23:43 2016 memory use: 3012.0 MB Mon Feb 29 22:23:43 2016 reading all ideals from disk Mon Feb 29 22:23:45 2016 memory use: 2869.4 MB Mon Feb 29 22:23:54 2016 commencing in-memory singleton removal Mon Feb 29 22:24:03 2016 begin with 170985210 relations and 150201435 unique ideals Mon Feb 29 22:25:45 2016 reduce to 95093963 relations and 64814420 ideals in 17 passes Mon Feb 29 22:25:45 2016 max relations containing the same ideal: 31 Mon Feb 29 22:25:54 2016 reading ideals above 720000 Mon Feb 29 22:25:55 2016 commencing singleton removal, initial pass Mon Feb 29 22:54:58 2016 memory use: 2756.0 MB Mon Feb 29 22:54:58 2016 reading all ideals from disk Mon Feb 29 22:55:00 2016 memory use: 3743.6 MB Mon Feb 29 22:55:17 2016 keeping 83576809 ideals with weight <= 200, target excess is 492257 Mon Feb 29 22:55:34 2016 commencing in-memory singleton removal Mon Feb 29 22:55:47 2016 begin with 95093963 relations and 83576809 unique ideals Mon Feb 29 22:58:10 2016 reduce to 95023169 relations and 83505953 ideals in 12 passes Mon Feb 29 22:58:10 2016 max relations containing the same ideal: 200 Mon Feb 29 22:59:18 2016 removing 12165373 relations and 10165373 ideals in 2000000 cliques Mon Feb 29 22:59:22 2016 commencing in-memory singleton removal Mon Feb 29 22:59:34 2016 begin with 82857796 relations and 83505953 unique ideals Mon Feb 29 23:01:14 2016 reduce to 81713865 relations and 72166280 ideals in 9 passes Mon Feb 29 23:01:14 2016 max relations containing the same ideal: 190 Mon Feb 29 23:02:14 2016 removing 9197660 relations and 7197660 ideals in 2000000 cliques Mon Feb 29 23:02:18 2016 commencing in-memory singleton removal Mon Feb 29 23:02:28 2016 begin with 72516205 relations and 72166280 unique ideals Mon Feb 29 23:04:01 2016 reduce to 71750299 relations and 64183716 ideals in 9 passes Mon Feb 29 23:04:01 2016 max relations containing the same ideal: 175 Mon Feb 29 23:04:56 2016 removing 8278336 relations and 6278336 ideals in 2000000 cliques Mon Feb 29 23:04:59 2016 commencing in-memory singleton removal Mon Feb 29 23:05:08 2016 begin with 63471963 relations and 64183716 unique ideals Mon Feb 29 23:06:28 2016 reduce to 62771869 relations and 57187387 ideals in 9 passes Mon Feb 29 23:06:28 2016 max relations containing the same ideal: 161 Mon Feb 29 23:07:19 2016 removing 7804577 relations and 5804577 ideals in 2000000 cliques Mon Feb 29 23:07:22 2016 commencing in-memory singleton removal Mon Feb 29 23:07:30 2016 begin with 54967292 relations and 57187387 unique ideals Mon Feb 29 23:08:42 2016 reduce to 54273239 relations and 50669163 ideals in 9 passes Mon Feb 29 23:08:42 2016 max relations containing the same ideal: 147 Mon Feb 29 23:09:26 2016 removing 7515815 relations and 5515815 ideals in 2000000 cliques Mon Feb 29 23:09:29 2016 commencing in-memory singleton removal Mon Feb 29 23:09:34 2016 begin with 46757424 relations and 50669163 unique ideals Mon Feb 29 23:10:31 2016 reduce to 46018979 relations and 44391257 ideals in 9 passes Mon Feb 29 23:10:31 2016 max relations containing the same ideal: 133 Mon Feb 29 23:11:09 2016 removing 4428403 relations and 3371700 ideals in 1056703 cliques Mon Feb 29 23:11:11 2016 commencing in-memory singleton removal Mon Feb 29 23:11:16 2016 begin with 41590576 relations and 44391257 unique ideals Mon Feb 29 23:12:03 2016 reduce to 41301368 relations and 40724493 ideals in 8 passes Mon Feb 29 23:12:03 2016 max relations containing the same ideal: 124 Mon Feb 29 23:12:46 2016 relations with 0 large ideals: 18806 Mon Feb 29 23:12:46 2016 relations with 1 large ideals: 4164 Mon Feb 29 23:12:46 2016 relations with 2 large ideals: 59868 Mon Feb 29 23:12:46 2016 relations with 3 large ideals: 487031 Mon Feb 29 23:12:46 2016 relations with 4 large ideals: 2186597 Mon Feb 29 23:12:46 2016 relations with 5 large ideals: 5897443 Mon Feb 29 23:12:46 2016 relations with 6 large ideals: 9994356 Mon Feb 29 23:12:46 2016 relations with 7+ large ideals: 22653103 Mon Feb 29 23:12:46 2016 commencing 2-way merge Mon Feb 29 23:13:29 2016 reduce to 26913835 relation sets and 26336960 unique ideals Mon Feb 29 23:13:29 2016 commencing full merge Mon Feb 29 23:47:46 2016 memory use: 1215.3 MB Mon Feb 29 23:47:59 2016 found 63020 cycles, need 5590457 Mon Feb 29 23:47:59 2016 too few cycles, matrix probably cannot build Mon Feb 29 23:48:04 2016 Mon Feb 29 23:48:04 2016 Mon Feb 29 23:48:04 2016 Msieve v. 1.53 (SVN 983M) Mon Feb 29 23:48:04 2016 random seeds: 5c5766e8 1985e733 Mon Feb 29 23:48:04 2016 factoring 176273576590869028732592984311651683412656442799224396263000176273576590869028732592984311651683412656442799224396263000176263000176273576590869028732592984311651683412656442799224396263000176273576590869028732592984311651683412656442799224396263 (246 digits) Mon Feb 29 23:48:06 2016 no P-1/P+1/ECM available, skipping Mon Feb 29 23:48:06 2016 commencing number field sieve (246-digit input) Mon Feb 29 23:48:06 2016 R0: -100000000000000000000000000000000000000000 Mon Feb 29 23:48:06 2016 R1: 1 Mon Feb 29 23:48:06 2016 A0: -1 Mon Feb 29 23:48:06 2016 A1: 0 Mon Feb 29 23:48:06 2016 A2: 0 Mon Feb 29 23:48:06 2016 A3: -60 Mon Feb 29 23:48:06 2016 A4: 0 Mon Feb 29 23:48:06 2016 A5: 0 Mon Feb 29 23:48:06 2016 A6: 1000 Mon Feb 29 23:48:06 2016 skew 1.00, size 2.551e-012, alpha 0.082, combined = 2.259e-013 rroots = 2 Mon Feb 29 23:48:06 2016 Mon Feb 29 23:48:06 2016 commencing relation filtering Mon Feb 29 23:48:06 2016 setting target matrix density to 112.0 Mon Feb 29 23:48:06 2016 estimated available RAM is 32739.1 MB Mon Feb 29 23:48:06 2016 commencing duplicate removal, pass 1 Mon Feb 29 23:48:55 2016 error -1 reading relation 2692604 Mon Feb 29 23:48:56 2016 error -9 reading relation 2725904 Mon Feb 29 23:48:56 2016 error -15 reading relation 2743032 Tue Mar 01 00:55:34 2016 skipped 421 relations with b > 2^32 Tue Mar 01 00:55:34 2016 skipped 2 relations with composite factors Tue Mar 01 00:55:34 2016 found 46094524 hash collisions in 218194503 relations Tue Mar 01 00:56:04 2016 commencing duplicate removal, pass 2 Tue Mar 01 01:02:14 2016 found 47209293 duplicates and 170985210 unique relations Tue Mar 01 01:02:14 2016 memory use: 1321.5 MB Tue Mar 01 01:02:14 2016 reading ideals above 172425216 Tue Mar 01 01:02:14 2016 commencing singleton removal, initial pass Tue Mar 01 01:42:08 2016 memory use: 3012.0 MB Tue Mar 01 01:42:08 2016 reading all ideals from disk Tue Mar 01 01:42:10 2016 memory use: 2869.4 MB Tue Mar 01 01:42:18 2016 commencing in-memory singleton removal Tue Mar 01 01:42:26 2016 begin with 170985210 relations and 150201435 unique ideals Tue Mar 01 01:44:05 2016 reduce to 95093963 relations and 64814420 ideals in 17 passes Tue Mar 01 01:44:05 2016 max relations containing the same ideal: 31 Tue Mar 01 01:44:14 2016 reading ideals above 720000 Tue Mar 01 01:44:15 2016 commencing singleton removal, initial pass Tue Mar 01 02:12:20 2016 memory use: 2756.0 MB Tue Mar 01 02:12:20 2016 reading all ideals from disk Tue Mar 01 02:12:23 2016 memory use: 3743.6 MB Tue Mar 01 02:12:39 2016 keeping 83576809 ideals with weight <= 200, target excess is 492257 Tue Mar 01 02:12:54 2016 commencing in-memory singleton removal Tue Mar 01 02:13:06 2016 begin with 95093963 relations and 83576809 unique ideals Tue Mar 01 02:15:26 2016 reduce to 95023169 relations and 83505953 ideals in 12 passes Tue Mar 01 02:15:26 2016 max relations containing the same ideal: 200 Tue Mar 01 02:16:30 2016 removing 12165373 relations and 10165373 ideals in 2000000 cliques Tue Mar 01 02:16:34 2016 commencing in-memory singleton removal Tue Mar 01 02:16:44 2016 begin with 82857796 relations and 83505953 unique ideals Tue Mar 01 02:18:18 2016 reduce to 81713865 relations and 72166280 ideals in 9 passes Tue Mar 01 02:18:18 2016 max relations containing the same ideal: 190 Tue Mar 01 02:19:26 2016 removing 9197660 relations and 7197660 ideals in 2000000 cliques Tue Mar 01 02:19:29 2016 commencing in-memory singleton removal Tue Mar 01 02:19:38 2016 begin with 72516205 relations and 72166280 unique ideals Tue Mar 01 02:20:56 2016 reduce to 71750299 relations and 64183716 ideals in 9 passes Tue Mar 01 02:20:56 2016 max relations containing the same ideal: 175 Tue Mar 01 02:21:45 2016 removing 8278336 relations and 6278336 ideals in 2000000 cliques Tue Mar 01 02:21:48 2016 commencing in-memory singleton removal Tue Mar 01 02:21:56 2016 begin with 63471963 relations and 64183716 unique ideals Tue Mar 01 02:23:04 2016 reduce to 62771869 relations and 57187387 ideals in 9 passes Tue Mar 01 02:23:04 2016 max relations containing the same ideal: 161 Tue Mar 01 02:23:46 2016 removing 7804577 relations and 5804577 ideals in 2000000 cliques Tue Mar 01 02:23:48 2016 commencing in-memory singleton removal Tue Mar 01 02:23:55 2016 begin with 54967292 relations and 57187387 unique ideals Tue Mar 01 02:25:06 2016 reduce to 54273239 relations and 50669163 ideals in 9 passes Tue Mar 01 02:25:06 2016 max relations containing the same ideal: 147 Tue Mar 01 02:25:43 2016 removing 7515815 relations and 5515815 ideals in 2000000 cliques Tue Mar 01 02:25:45 2016 commencing in-memory singleton removal Tue Mar 01 02:25:51 2016 begin with 46757424 relations and 50669163 unique ideals Tue Mar 01 02:26:39 2016 reduce to 46018979 relations and 44391257 ideals in 9 passes Tue Mar 01 02:26:39 2016 max relations containing the same ideal: 133 Tue Mar 01 02:27:10 2016 removing 4428403 relations and 3371700 ideals in 1056703 cliques Tue Mar 01 02:27:12 2016 commencing in-memory singleton removal Tue Mar 01 02:27:17 2016 begin with 41590576 relations and 44391257 unique ideals Tue Mar 01 02:27:55 2016 reduce to 41301368 relations and 40724493 ideals in 8 passes Tue Mar 01 02:27:55 2016 max relations containing the same ideal: 124 Tue Mar 01 02:28:31 2016 relations with 0 large ideals: 18806 Tue Mar 01 02:28:31 2016 relations with 1 large ideals: 4164 Tue Mar 01 02:28:31 2016 relations with 2 large ideals: 59868 Tue Mar 01 02:28:31 2016 relations with 3 large ideals: 487031 Tue Mar 01 02:28:31 2016 relations with 4 large ideals: 2186597 Tue Mar 01 02:28:31 2016 relations with 5 large ideals: 5897443 Tue Mar 01 02:28:31 2016 relations with 6 large ideals: 9994356 Tue Mar 01 02:28:31 2016 relations with 7+ large ideals: 22653103 Tue Mar 01 02:28:31 2016 commencing 2-way merge Tue Mar 01 02:29:08 2016 reduce to 26913835 relation sets and 26336960 unique ideals Tue Mar 01 02:29:08 2016 commencing full merge Tue Mar 01 02:45:30 2016 memory use: 3451.7 MB Tue Mar 01 02:45:35 2016 found 12291548 cycles, need 12275160 Tue Mar 01 02:45:36 2016 weight of 12275160 cycles is about 1375533055 (112.06/cycle) Tue Mar 01 02:45:36 2016 distribution of cycle lengths: Tue Mar 01 02:45:36 2016 1 relations: 595238 Tue Mar 01 02:45:36 2016 2 relations: 826496 Tue Mar 01 02:45:36 2016 3 relations: 952066 Tue Mar 01 02:45:36 2016 4 relations: 969944 Tue Mar 01 02:45:36 2016 5 relations: 969144 Tue Mar 01 02:45:36 2016 6 relations: 939639 Tue Mar 01 02:45:36 2016 7 relations: 894141 Tue Mar 01 02:45:36 2016 8 relations: 839573 Tue Mar 01 02:45:36 2016 9 relations: 779602 Tue Mar 01 02:45:36 2016 10+ relations: 4509317 Tue Mar 01 02:45:36 2016 heaviest cycle: 28 relations Tue Mar 01 02:45:40 2016 commencing cycle optimization Tue Mar 01 02:46:07 2016 start with 103759097 relations Tue Mar 01 02:52:42 2016 pruned 4267790 relations Tue Mar 01 02:52:42 2016 memory use: 2790.0 MB Tue Mar 01 02:52:42 2016 distribution of cycle lengths: Tue Mar 01 02:52:42 2016 1 relations: 595238 Tue Mar 01 02:52:42 2016 2 relations: 846003 Tue Mar 01 02:52:42 2016 3 relations: 991731 Tue Mar 01 02:52:42 2016 4 relations: 1007258 Tue Mar 01 02:52:42 2016 5 relations: 1012978 Tue Mar 01 02:52:42 2016 6 relations: 978106 Tue Mar 01 02:52:42 2016 7 relations: 932645 Tue Mar 01 02:52:42 2016 8 relations: 871368 Tue Mar 01 02:52:42 2016 9 relations: 805187 Tue Mar 01 02:52:42 2016 10+ relations: 4234646 Tue Mar 01 02:52:42 2016 heaviest cycle: 28 relations Tue Mar 01 02:53:18 2016 RelProcTime: 11112 Tue Mar 01 02:53:18 2016 elapsed time 03:05:14 Tue Mar 1 02:53:45 2016 Tue Mar 1 02:53:45 2016 Tue Mar 1 02:53:45 2016 Msieve v. 1.53 (SVN 975) Tue Mar 1 02:53:45 2016 random seeds: 31a2e660 45be5df9 Tue Mar 1 02:53:45 2016 MPI process 0 of 2 Tue Mar 1 02:53:45 2016 factoring 176273576590869028732592984311651683412656442799224396263000176273576590869028732592984311651683412656442799224396263000176263000176273576590869028732592984311651683412656442799224396263000176273576590869028732592984311651683412656442799224396263 (246 digits) Tue Mar 1 02:53:47 2016 no P-1/P+1/ECM available, skipping Tue Mar 1 02:53:47 2016 commencing number field sieve (246-digit input) Tue Mar 1 02:53:47 2016 R0: -100000000000000000000000000000000000000000 Tue Mar 1 02:53:47 2016 R1: 1 Tue Mar 1 02:53:47 2016 A0: -1 Tue Mar 1 02:53:47 2016 A1: 0 Tue Mar 1 02:53:47 2016 A2: 0 Tue Mar 1 02:53:47 2016 A3: -60 Tue Mar 1 02:53:47 2016 A4: 0 Tue Mar 1 02:53:47 2016 A5: 0 Tue Mar 1 02:53:47 2016 A6: 1000 Tue Mar 1 02:53:47 2016 skew 1.00, size 2.551e-12, alpha 0.082, combined = 2.259e-13 rroots = 2 Tue Mar 1 02:53:47 2016 Tue Mar 1 02:53:47 2016 commencing linear algebra Tue Mar 1 02:53:47 2016 initialized process (0,0) of 1 x 2 grid Tue Mar 1 02:53:54 2016 read 12275160 cycles Tue Mar 1 02:54:27 2016 cycles contain 40913225 unique relations Tue Mar 1 03:06:20 2016 read 40913225 relations Tue Mar 1 03:07:57 2016 using 20 quadratic characters above 2147483124 Tue Mar 1 03:11:44 2016 building initial matrix Tue Mar 1 03:22:36 2016 memory use: 5466.1 MB Tue Mar 1 03:23:01 2016 read 12275160 cycles Tue Mar 1 03:23:04 2016 matrix is 12274983 x 12275160 (5447.3 MB) with weight 1601410430 (130.46/col) Tue Mar 1 03:23:04 2016 sparse part has weight 1292962168 (105.33/col) Tue Mar 1 03:27:07 2016 filtering completed in 2 passes Tue Mar 1 03:27:11 2016 matrix is 12274831 x 12275008 (5447.3 MB) with weight 1601404931 (130.46/col) Tue Mar 1 03:27:11 2016 sparse part has weight 1292960526 (105.33/col) Tue Mar 1 03:28:13 2016 matrix starts at (0, 0) Tue Mar 1 03:28:14 2016 matrix is 12274831 x 6137500 (2723.7 MB) with weight 800703514 (130.46/col) Tue Mar 1 03:28:14 2016 sparse part has weight 646480419 (105.33/col) Tue Mar 1 03:28:14 2016 saving the first 48 matrix rows for later Tue Mar 1 03:28:16 2016 matrix includes 64 packed rows Tue Mar 1 03:28:18 2016 matrix is 12274783 x 6137500 (2626.4 MB) with weight 678736272 (110.59/col) Tue Mar 1 03:28:18 2016 sparse part has weight 627116255 (102.18/col) Tue Mar 1 03:28:18 2016 using block size 8192 and superblock size 1474560 for processor cache size 15360 kB Tue Mar 1 03:29:07 2016 commencing Lanczos iteration (6 threads) Tue Mar 1 03:29:07 2016 memory use: 2280.7 MB Tue Mar 1 03:29:39 2016 linear algebra at 0.0%, ETA 67h27m Tue Mar 1 03:29:49 2016 checkpointing every 190000 dimensions Thu Mar 3 21:40:17 2016 lanczos halted after 194109 iterations (dim = 12274781) Thu Mar 3 21:40:32 2016 recovered 36 nontrivial dependencies Thu Mar 3 21:40:33 2016 BLanczosTime: 240406 Thu Mar 3 21:40:33 2016 elapsed time 66:46:48 Tue Mar 1 02:53:45 2016 Tue Mar 1 02:53:45 2016 Tue Mar 1 02:53:45 2016 Msieve v. 1.53 (SVN 975) Tue Mar 1 02:53:45 2016 random seeds: fa572d33 ab131f75 Tue Mar 1 02:53:45 2016 MPI process 1 of 2 Tue Mar 1 02:53:45 2016 factoring 176273576590869028732592984311651683412656442799224396263000176273576590869028732592984311651683412656442799224396263000176263000176273576590869028732592984311651683412656442799224396263000176273576590869028732592984311651683412656442799224396263 (246 digits) Tue Mar 1 02:53:47 2016 no P-1/P+1/ECM available, skipping Tue Mar 1 02:53:47 2016 commencing number field sieve (246-digit input) Tue Mar 1 02:53:47 2016 R0: -100000000000000000000000000000000000000000 Tue Mar 1 02:53:47 2016 R1: 1 Tue Mar 1 02:53:47 2016 A0: -1 Tue Mar 1 02:53:47 2016 A1: 0 Tue Mar 1 02:53:47 2016 A2: 0 Tue Mar 1 02:53:47 2016 A3: -60 Tue Mar 1 02:53:47 2016 A4: 0 Tue Mar 1 02:53:47 2016 A5: 0 Tue Mar 1 02:53:47 2016 A6: 1000 Tue Mar 1 02:53:47 2016 skew 1.00, size 2.551e-12, alpha 0.082, combined = 2.259e-13 rroots = 2 Tue Mar 1 02:53:47 2016 Tue Mar 1 02:53:47 2016 commencing linear algebra Tue Mar 1 02:53:47 2016 initialized process (0,1) of 1 x 2 grid Tue Mar 1 03:28:13 2016 matrix starts at (0, 6137500) Tue Mar 1 03:28:15 2016 matrix is 12274831 x 6137508 (2723.7 MB) with weight 800701417 (130.46/col) Tue Mar 1 03:28:15 2016 sparse part has weight 646480107 (105.33/col) Tue Mar 1 03:28:15 2016 saving the first 48 matrix rows for later Tue Mar 1 03:28:17 2016 matrix includes 64 packed rows Tue Mar 1 03:28:18 2016 matrix is 12274783 x 6137508 (2626.4 MB) with weight 678745224 (110.59/col) Tue Mar 1 03:28:18 2016 sparse part has weight 627112113 (102.18/col) Tue Mar 1 03:28:18 2016 using block size 8192 and superblock size 1474560 for processor cache size 15360 kB Tue Mar 1 03:29:08 2016 commencing Lanczos iteration (6 threads) Tue Mar 1 03:29:08 2016 memory use: 2280.7 MB Thu Mar 3 21:40:17 2016 lanczos halted after 194109 iterations (dim = 12274781) Thu Mar 3 21:40:18 2016 lanczos error: only trivial dependencies found Thu Mar 3 21:40:19 2016 BLanczosTime: 240392 Thu Mar 3 21:40:19 2016 elapsed time 66:46:34 Thu Mar 03 21:40:45 2016 Thu Mar 03 21:40:45 2016 Thu Mar 03 21:40:45 2016 Msieve v. 1.53 (SVN 983M) Thu Mar 03 21:40:45 2016 random seeds: fc3a5004 dde83acb Thu Mar 03 21:40:45 2016 factoring 176273576590869028732592984311651683412656442799224396263000176273576590869028732592984311651683412656442799224396263000176263000176273576590869028732592984311651683412656442799224396263000176273576590869028732592984311651683412656442799224396263 (246 digits) Thu Mar 03 21:40:48 2016 no P-1/P+1/ECM available, skipping Thu Mar 03 21:40:48 2016 commencing number field sieve (246-digit input) Thu Mar 03 21:40:48 2016 R0: -100000000000000000000000000000000000000000 Thu Mar 03 21:40:48 2016 R1: 1 Thu Mar 03 21:40:48 2016 A0: -1 Thu Mar 03 21:40:48 2016 A1: 0 Thu Mar 03 21:40:48 2016 A2: 0 Thu Mar 03 21:40:48 2016 A3: -60 Thu Mar 03 21:40:48 2016 A4: 0 Thu Mar 03 21:40:48 2016 A5: 0 Thu Mar 03 21:40:48 2016 A6: 1000 Thu Mar 03 21:40:48 2016 skew 1.00, size 2.551e-012, alpha 0.082, combined = 2.259e-013 rroots = 2 Thu Mar 03 21:40:48 2016 Thu Mar 03 21:40:48 2016 commencing square root phase Thu Mar 03 21:40:48 2016 reading relations for dependency 1 Thu Mar 03 21:40:52 2016 read 6140432 cycles Thu Mar 03 21:41:08 2016 cycles contain 20463282 unique relations Thu Mar 03 21:49:43 2016 read 20463282 relations Thu Mar 03 21:52:16 2016 multiplying 20463282 relations Thu Mar 03 22:21:49 2016 multiply complete, coefficients have about 703.88 million bits Thu Mar 03 22:21:55 2016 initial square root is modulo 2064653 Thu Mar 03 22:54:49 2016 GCD is N, no factor found Thu Mar 03 22:54:49 2016 reading relations for dependency 2 Thu Mar 03 22:54:53 2016 read 6138735 cycles Thu Mar 03 22:55:09 2016 cycles contain 20462370 unique relations Thu Mar 03 23:03:44 2016 read 20462370 relations Thu Mar 03 23:06:17 2016 multiplying 20462370 relations Thu Mar 03 23:35:41 2016 multiply complete, coefficients have about 703.85 million bits Thu Mar 03 23:35:48 2016 initial square root is modulo 2063423 Fri Mar 04 00:08:33 2016 GCD is N, no factor found Fri Mar 04 00:08:33 2016 reading relations for dependency 3 Fri Mar 04 00:08:37 2016 read 6135052 cycles Fri Mar 04 00:08:53 2016 cycles contain 20448514 unique relations Fri Mar 04 00:17:28 2016 read 20448514 relations Fri Mar 04 00:20:09 2016 multiplying 20448514 relations Fri Mar 04 00:49:37 2016 multiply complete, coefficients have about 703.38 million bits Fri Mar 04 00:49:43 2016 initial square root is modulo 2043401 Fri Mar 04 01:22:38 2016 sqrtTime: 13310 Fri Mar 04 01:22:38 2016 p67 factor: 3122869965450586149602388209635563015039996398669809521615568270969 Fri Mar 04 01:22:38 2016 p179 factor: 56446018739507533253429601119158996441320461779035094294104955989328665961081191823215573184521535202273283282298493461184647728233866474823852300590884410508485837034967839832927 Fri Mar 04 01:22:38 2016 elapsed time 03:41:53 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 118 | Makoto Kamada | January 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 3318 | 1000 | Dmitry Domanov | January 10, 2012 09:14:05 UTC 2012 年 1 月 10 日 (火) 18 時 14 分 5 秒 (日本時間) |
2318 | Wataru Sakai | January 11, 2012 06:16:25 UTC 2012 年 1 月 11 日 (水) 15 時 16 分 25 秒 (日本時間) | |||
45 | 11e6 | 0 | - | - | |
50 | 43e6 | 1090 | 400 | Dmitry Domanov | March 7, 2012 06:58:18 UTC 2012 年 3 月 7 日 (水) 15 時 58 分 18 秒 (日本時間) |
440 | Dmitry Domanov | March 14, 2012 20:01:06 UTC 2012 年 3 月 15 日 (木) 5 時 1 分 6 秒 (日本時間) | |||
250 | Dmitry Domanov | May 11, 2012 20:42:16 UTC 2012 年 5 月 12 日 (土) 5 時 42 分 16 秒 (日本時間) | |||
55 | 11e7 | 20650 | 2640 | yoyo@home | April 12, 2013 19:40:06 UTC 2013 年 4 月 13 日 (土) 4 時 40 分 6 秒 (日本時間) |
1 | KTakahashi | March 22, 2014 07:17:52 UTC 2014 年 3 月 22 日 (土) 16 時 17 分 52 秒 (日本時間) | |||
18009 | Youcef Lemsafer | January 24, 2016 17:55:16 UTC 2016 年 1 月 25 日 (月) 2 時 55 分 16 秒 (日本時間) |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | January 6, 2012 11:52:05 UTC 2012 年 1 月 6 日 (金) 20 時 52 分 5 秒 (日本時間) |
composite number 合成数 | 13919220907322915368343077234812506333185842896176920746377678219931928803118274413154740298399523384569115937241620796293199063715371565889101117339465802414429966918448808493752007178476055046385721<200> |
prime factors 素因数 | 337768663506391844060193734515657<33> 41209331744475199801972157553967089323903047177108318487850766043579670915315980831595331677649092252313346215727582132217453623901657068180331657293696481500936128753<167> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1154935958 Step 1 took 27458ms Step 2 took 9924ms ********** Factor found in step 2: 337768663506391844060193734515657 Found probable prime factor of 33 digits: 337768663506391844060193734515657 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 0 | - | - | |
35 | 1e6 | 118 / 904 | Makoto Kamada | January 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間) |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | January 6, 2012 08:49:29 UTC 2012 年 1 月 6 日 (金) 17 時 49 分 29 秒 (日本時間) |
composite number 合成数 | 58908529498948487535286734622018325817340925692863188126052277670735224718870391025341025682089751812607236064238712307025477675275606226912399793166990104004015757958197170327783536360677696044377<197> |
prime factors 素因数 | 106072788518360189453752036432091<33> 555359487779959533398219173284349122405074527346301857758411121123552602478134291122707602475697812014169231416441184222601887483942867342761549898744245199604797147<165> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3413643802 Step 1 took 27429ms Step 2 took 9909ms ********** Factor found in step 2: 106072788518360189453752036432091 Found probable prime factor of 33 digits: 106072788518360189453752036432091 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 0 | - | - | |
35 | 1e6 | 118 / 904 | Makoto Kamada | January 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間) |
name 名前 | Youcef Lemsafer |
---|---|
date 日付 | June 30, 2016 06:56:26 UTC 2016 年 6 月 30 日 (木) 15 時 56 分 26 秒 (日本時間) |
composite number 合成数 | 348889989055321043334578870594260829458037779901354844494498528207581170128178693079034398110690931267625486134588499957958756297900414934863983493316837814650797754404474444331636681316557307099597276285633442919678895609673044724556586990659866103<249> |
prime factors 素因数 | 14494087233323167828660550507887542252859347344543924071272220585015750203619472177686008910864614282267579627938545510781<122> 24071194235204587288433731990296295840306023226993934804629626681237700848449092034240892649774789438442527466935590532303064963<128> |
factorization results 素因数分解の結果 | <Parameters used:> # # 33133_127, C249, SNFS_diff=255 # f(X)=1000*X^6-60*X^3-1 # g(X)=X-10^42 # n: 348889989055321043334578870594260829458037779901354844494498528207581170128178693079034398110690931267625486134588499957958756297900414934863983493316837814650797754404474444331636681316557307099597276285633442919678895609673044724556586990659866103 Y0: -1000000000000000000000000000000000000000000 Y1: 1 deg: 6 c6: 1000 c3: -60 c0: -1 skew: 0.316 type: snfs rlim: 120000000 alim: 120000000 lpbr: 31 lpba: 31 mfbr: 62 mfba: 62 rlambda: 2.7 alambda: 2.7 <Sieving done with gnfs-lasieve4I15e -r from 20e6 to 130e6 took approx. 18375 thread.hours.> <Post-processing on dual Intel Xeon E5-2620 @2.0GHz (32GB RAM) running Windows 7 Pro 64-bit:> Mon Jun 27 21:02:22 2016 Mon Jun 27 21:02:22 2016 Mon Jun 27 21:02:22 2016 Msieve v. 1.53 (SVN 983M) Mon Jun 27 21:02:22 2016 random seeds: f9118428 c35dd808 Mon Jun 27 21:02:22 2016 factoring 348889989055321043334578870594260829458037779901354844494498528207581170128178693079034398110690931267625486134588499957958756297900414934863983493316837814650797754404474444331636681316557307099597276285633442919678895609673044724556586990659866103 (249 digits) Mon Jun 27 21:02:25 2016 no P-1/P+1/ECM available, skipping Mon Jun 27 21:02:25 2016 commencing number field sieve (249-digit input) Mon Jun 27 21:02:25 2016 R0: -1000000000000000000000000000000000000000000 Mon Jun 27 21:02:25 2016 R1: 1 Mon Jun 27 21:02:25 2016 A0: -1 Mon Jun 27 21:02:25 2016 A1: 0 Mon Jun 27 21:02:25 2016 A2: 0 Mon Jun 27 21:02:25 2016 A3: -60 Mon Jun 27 21:02:25 2016 A4: 0 Mon Jun 27 21:02:25 2016 A5: 0 Mon Jun 27 21:02:25 2016 A6: 1000 Mon Jun 27 21:02:25 2016 skew 1.00, size 1.321e-012, alpha 0.082, combined = 1.384e-013 rroots = 2 Mon Jun 27 21:02:25 2016 Mon Jun 27 21:02:25 2016 commencing relation filtering Mon Jun 27 21:02:25 2016 setting target matrix density to 116.0 Mon Jun 27 21:02:25 2016 estimated available RAM is 32739.1 MB Mon Jun 27 21:02:25 2016 commencing duplicate removal, pass 1 Mon Jun 27 22:13:58 2016 skipped 1990 relations with b > 2^32 Mon Jun 27 22:13:58 2016 found 42260349 hash collisions in 224022612 relations Mon Jun 27 22:14:39 2016 added 1218646 free relations Mon Jun 27 22:14:39 2016 commencing duplicate removal, pass 2 Mon Jun 27 22:21:09 2016 found 40830347 duplicates and 184410911 unique relations Mon Jun 27 22:21:09 2016 memory use: 1321.5 MB Mon Jun 27 22:21:09 2016 reading ideals above 129957888 Mon Jun 27 22:21:09 2016 commencing singleton removal, initial pass Mon Jun 27 23:05:35 2016 memory use: 3012.0 MB Mon Jun 27 23:05:35 2016 reading all ideals from disk Mon Jun 27 23:05:37 2016 memory use: 3215.3 MB Mon Jun 27 23:05:48 2016 commencing in-memory singleton removal Mon Jun 27 23:05:59 2016 begin with 184410911 relations and 159231718 unique ideals Mon Jun 27 23:08:21 2016 reduce to 113636146 relations and 80702317 ideals in 16 passes Mon Jun 27 23:08:21 2016 max relations containing the same ideal: 37 Mon Jun 27 23:08:34 2016 reading ideals above 720000 Mon Jun 27 23:08:35 2016 commencing singleton removal, initial pass Mon Jun 27 23:43:24 2016 memory use: 2756.0 MB Mon Jun 27 23:43:24 2016 reading all ideals from disk Mon Jun 27 23:43:28 2016 memory use: 4593.7 MB Mon Jun 27 23:43:51 2016 keeping 94837394 ideals with weight <= 200, target excess is 616665 Mon Jun 27 23:44:12 2016 commencing in-memory singleton removal Mon Jun 27 23:44:30 2016 begin with 113636147 relations and 94837394 unique ideals Mon Jun 27 23:46:30 2016 reduce to 113634360 relations and 94835607 ideals in 7 passes Mon Jun 27 23:46:30 2016 max relations containing the same ideal: 200 Mon Jun 27 23:48:04 2016 removing 11414940 relations and 9414940 ideals in 2000000 cliques Mon Jun 27 23:48:08 2016 commencing in-memory singleton removal Mon Jun 27 23:48:23 2016 begin with 102219420 relations and 94835607 unique ideals Mon Jun 27 23:50:36 2016 reduce to 101381527 relations and 84564661 ideals in 9 passes Mon Jun 27 23:50:36 2016 max relations containing the same ideal: 194 Mon Jun 27 23:51:53 2016 removing 8674337 relations and 6674337 ideals in 2000000 cliques Mon Jun 27 23:51:56 2016 commencing in-memory singleton removal Mon Jun 27 23:52:10 2016 begin with 92707190 relations and 84564661 unique ideals Mon Jun 27 23:53:56 2016 reduce to 92141661 relations and 77313728 ideals in 8 passes Mon Jun 27 23:53:56 2016 max relations containing the same ideal: 183 Mon Jun 27 23:55:06 2016 removing 7858012 relations and 5858012 ideals in 2000000 cliques Mon Jun 27 23:55:10 2016 commencing in-memory singleton removal Mon Jun 27 23:55:22 2016 begin with 84283649 relations and 77313728 unique ideals Mon Jun 27 23:57:08 2016 reduce to 83773618 relations and 70935618 ideals in 9 passes Mon Jun 27 23:57:08 2016 max relations containing the same ideal: 175 Mon Jun 27 23:58:12 2016 removing 7454995 relations and 5454995 ideals in 2000000 cliques Mon Jun 27 23:58:15 2016 commencing in-memory singleton removal Mon Jun 27 23:58:26 2016 begin with 76318623 relations and 70935618 unique ideals Mon Jun 27 23:59:53 2016 reduce to 75823255 relations and 64974744 ideals in 8 passes Mon Jun 27 23:59:53 2016 max relations containing the same ideal: 165 Tue Jun 28 00:00:49 2016 removing 7217949 relations and 5217949 ideals in 2000000 cliques Tue Jun 28 00:00:52 2016 commencing in-memory singleton removal Tue Jun 28 00:01:03 2016 begin with 68605306 relations and 64974744 unique ideals Tue Jun 28 00:02:15 2016 reduce to 68100872 relations and 59240933 ideals in 7 passes Tue Jun 28 00:02:15 2016 max relations containing the same ideal: 151 Tue Jun 28 00:03:12 2016 removing 7072991 relations and 5072991 ideals in 2000000 cliques Tue Jun 28 00:03:15 2016 commencing in-memory singleton removal Tue Jun 28 00:03:24 2016 begin with 61027881 relations and 59240933 unique ideals Tue Jun 28 00:04:45 2016 reduce to 60498874 relations and 53625689 ideals in 9 passes Tue Jun 28 00:04:45 2016 max relations containing the same ideal: 143 Tue Jun 28 00:05:33 2016 removing 6991779 relations and 4991779 ideals in 2000000 cliques Tue Jun 28 00:05:36 2016 commencing in-memory singleton removal Tue Jun 28 00:05:43 2016 begin with 53507095 relations and 53625689 unique ideals Tue Jun 28 00:06:42 2016 reduce to 52937489 relations and 48048554 ideals in 8 passes Tue Jun 28 00:06:42 2016 max relations containing the same ideal: 126 Tue Jun 28 00:07:23 2016 removing 6943224 relations and 4943224 ideals in 2000000 cliques Tue Jun 28 00:07:25 2016 commencing in-memory singleton removal Tue Jun 28 00:07:32 2016 begin with 45994265 relations and 48048554 unique ideals Tue Jun 28 00:08:27 2016 reduce to 45358922 relations and 42449785 ideals in 9 passes Tue Jun 28 00:08:27 2016 max relations containing the same ideal: 114 Tue Jun 28 00:09:03 2016 removing 6932475 relations and 4932475 ideals in 2000000 cliques Tue Jun 28 00:09:05 2016 commencing in-memory singleton removal Tue Jun 28 00:09:11 2016 begin with 38426447 relations and 42449785 unique ideals Tue Jun 28 00:09:56 2016 reduce to 37684905 relations and 36748507 ideals in 9 passes Tue Jun 28 00:09:56 2016 max relations containing the same ideal: 102 Tue Jun 28 00:10:26 2016 removing 1183344 relations and 962278 ideals in 221066 cliques Tue Jun 28 00:10:27 2016 commencing in-memory singleton removal Tue Jun 28 00:10:32 2016 begin with 36501561 relations and 36748507 unique ideals Tue Jun 28 00:11:01 2016 reduce to 36478292 relations and 35762817 ideals in 6 passes Tue Jun 28 00:11:01 2016 max relations containing the same ideal: 96 Tue Jun 28 00:11:38 2016 relations with 0 large ideals: 23643 Tue Jun 28 00:11:38 2016 relations with 1 large ideals: 5168 Tue Jun 28 00:11:38 2016 relations with 2 large ideals: 71227 Tue Jun 28 00:11:38 2016 relations with 3 large ideals: 547530 Tue Jun 28 00:11:38 2016 relations with 4 large ideals: 2287931 Tue Jun 28 00:11:38 2016 relations with 5 large ideals: 5744871 Tue Jun 28 00:11:38 2016 relations with 6 large ideals: 9063521 Tue Jun 28 00:11:38 2016 relations with 7+ large ideals: 18734401 Tue Jun 28 00:11:38 2016 commencing 2-way merge Tue Jun 28 00:12:16 2016 reduce to 23541002 relation sets and 22825527 unique ideals Tue Jun 28 00:12:16 2016 commencing full merge Tue Jun 28 00:27:56 2016 memory use: 3163.5 MB Tue Jun 28 00:28:02 2016 found 10889062 cycles, need 10837727 Tue Jun 28 00:28:03 2016 weight of 10837727 cycles is about 1257283122 (116.01/cycle) Tue Jun 28 00:28:03 2016 distribution of cycle lengths: Tue Jun 28 00:28:03 2016 1 relations: 548805 Tue Jun 28 00:28:03 2016 2 relations: 704559 Tue Jun 28 00:28:03 2016 3 relations: 803222 Tue Jun 28 00:28:03 2016 4 relations: 822725 Tue Jun 28 00:28:03 2016 5 relations: 838849 Tue Jun 28 00:28:03 2016 6 relations: 823005 Tue Jun 28 00:28:03 2016 7 relations: 801597 Tue Jun 28 00:28:03 2016 8 relations: 758727 Tue Jun 28 00:28:03 2016 9 relations: 707639 Tue Jun 28 00:28:03 2016 10+ relations: 4028599 Tue Jun 28 00:28:03 2016 heaviest cycle: 28 relations Tue Jun 28 00:28:07 2016 commencing cycle optimization Tue Jun 28 00:28:33 2016 start with 91579131 relations Tue Jun 28 00:34:47 2016 pruned 4022897 relations Tue Jun 28 00:34:47 2016 memory use: 2458.7 MB Tue Jun 28 00:34:47 2016 distribution of cycle lengths: Tue Jun 28 00:34:47 2016 1 relations: 548805 Tue Jun 28 00:34:47 2016 2 relations: 721107 Tue Jun 28 00:34:47 2016 3 relations: 835863 Tue Jun 28 00:34:47 2016 4 relations: 855956 Tue Jun 28 00:34:47 2016 5 relations: 879254 Tue Jun 28 00:34:47 2016 6 relations: 861365 Tue Jun 28 00:34:47 2016 7 relations: 842265 Tue Jun 28 00:34:47 2016 8 relations: 792908 Tue Jun 28 00:34:47 2016 9 relations: 736834 Tue Jun 28 00:34:47 2016 10+ relations: 3763370 Tue Jun 28 00:34:47 2016 heaviest cycle: 28 relations Tue Jun 28 00:35:19 2016 RelProcTime: 12774 Tue Jun 28 00:35:19 2016 elapsed time 03:32:57 Tue Jun 28 00:35:25 2016 Tue Jun 28 00:35:25 2016 Tue Jun 28 00:35:25 2016 Msieve v. 1.53 (SVN 975) Tue Jun 28 00:35:25 2016 random seeds: 15125d90 6c54abf8 Tue Jun 28 00:35:25 2016 MPI process 0 of 2 Tue Jun 28 00:35:25 2016 factoring 348889989055321043334578870594260829458037779901354844494498528207581170128178693079034398110690931267625486134588499957958756297900414934863983493316837814650797754404474444331636681316557307099597276285633442919678895609673044724556586990659866103 (249 digits) Tue Jun 28 00:35:27 2016 no P-1/P+1/ECM available, skipping Tue Jun 28 00:35:27 2016 commencing number field sieve (249-digit input) Tue Jun 28 00:35:27 2016 R0: -1000000000000000000000000000000000000000000 Tue Jun 28 00:35:27 2016 R1: 1 Tue Jun 28 00:35:27 2016 A0: -1 Tue Jun 28 00:35:27 2016 A1: 0 Tue Jun 28 00:35:27 2016 A2: 0 Tue Jun 28 00:35:27 2016 A3: -60 Tue Jun 28 00:35:27 2016 A4: 0 Tue Jun 28 00:35:27 2016 A5: 0 Tue Jun 28 00:35:27 2016 A6: 1000 Tue Jun 28 00:35:27 2016 skew 1.00, size 1.321e-12, alpha 0.082, combined = 1.384e-13 rroots = 2 Tue Jun 28 00:35:27 2016 Tue Jun 28 00:35:27 2016 commencing linear algebra Tue Jun 28 00:35:27 2016 initialized process (0,0) of 1 x 2 grid Tue Jun 28 00:35:33 2016 read 10837727 cycles Tue Jun 28 00:36:04 2016 cycles contain 36103409 unique relations Tue Jun 28 00:48:00 2016 read 36103409 relations Tue Jun 28 00:49:28 2016 using 20 quadratic characters above 2147482802 Tue Jun 28 00:53:00 2016 building initial matrix Tue Jun 28 01:03:01 2016 memory use: 4923.2 MB Tue Jun 28 01:03:24 2016 read 10837727 cycles Tue Jun 28 01:03:27 2016 matrix is 10837550 x 10837727 (4945.3 MB) with weight 1446696023 (133.49/col) Tue Jun 28 01:03:27 2016 sparse part has weight 1177160036 (108.62/col) Tue Jun 28 01:07:14 2016 filtering completed in 2 passes Tue Jun 28 01:07:17 2016 matrix is 10837362 x 10837539 (4945.3 MB) with weight 1446689257 (133.49/col) Tue Jun 28 01:07:17 2016 sparse part has weight 1177157982 (108.62/col) Tue Jun 28 01:08:13 2016 matrix starts at (0, 0) Tue Jun 28 01:08:14 2016 matrix is 10837362 x 5418777 (2472.6 MB) with weight 723347166 (133.49/col) Tue Jun 28 01:08:14 2016 sparse part has weight 588579157 (108.62/col) Tue Jun 28 01:08:14 2016 saving the first 48 matrix rows for later Tue Jun 28 01:08:16 2016 matrix includes 64 packed rows Tue Jun 28 01:08:18 2016 matrix is 10837314 x 5418777 (2386.0 MB) with weight 616380574 (113.75/col) Tue Jun 28 01:08:18 2016 sparse part has weight 571289217 (105.43/col) Tue Jun 28 01:08:18 2016 using block size 8192 and superblock size 1474560 for processor cache size 15360 kB Tue Jun 28 01:09:03 2016 commencing Lanczos iteration (6 threads) Tue Jun 28 01:09:03 2016 memory use: 2073.1 MB Tue Jun 28 01:09:28 2016 linear algebra at 0.0%, ETA 47h27m Tue Jun 28 01:09:36 2016 checkpointing every 230000 dimensions Thu Jun 30 01:41:00 2016 lanczos halted after 171377 iterations (dim = 10837313) Thu Jun 30 01:41:14 2016 recovered 37 nontrivial dependencies Thu Jun 30 01:41:15 2016 BLanczosTime: 176748 Thu Jun 30 01:41:15 2016 elapsed time 49:05:50 Tue Jun 28 00:35:25 2016 Tue Jun 28 00:35:25 2016 Tue Jun 28 00:35:25 2016 Msieve v. 1.53 (SVN 975) Tue Jun 28 00:35:25 2016 random seeds: a1545099 557d7001 Tue Jun 28 00:35:25 2016 MPI process 1 of 2 Tue Jun 28 00:35:25 2016 factoring 348889989055321043334578870594260829458037779901354844494498528207581170128178693079034398110690931267625486134588499957958756297900414934863983493316837814650797754404474444331636681316557307099597276285633442919678895609673044724556586990659866103 (249 digits) Tue Jun 28 00:35:27 2016 no P-1/P+1/ECM available, skipping Tue Jun 28 00:35:27 2016 commencing number field sieve (249-digit input) Tue Jun 28 00:35:27 2016 R0: -1000000000000000000000000000000000000000000 Tue Jun 28 00:35:27 2016 R1: 1 Tue Jun 28 00:35:27 2016 A0: -1 Tue Jun 28 00:35:27 2016 A1: 0 Tue Jun 28 00:35:27 2016 A2: 0 Tue Jun 28 00:35:27 2016 A3: -60 Tue Jun 28 00:35:27 2016 A4: 0 Tue Jun 28 00:35:27 2016 A5: 0 Tue Jun 28 00:35:27 2016 A6: 1000 Tue Jun 28 00:35:27 2016 skew 1.00, size 1.321e-12, alpha 0.082, combined = 1.384e-13 rroots = 2 Tue Jun 28 00:35:27 2016 Tue Jun 28 00:35:27 2016 commencing linear algebra Tue Jun 28 00:35:27 2016 initialized process (0,1) of 1 x 2 grid Tue Jun 28 01:08:14 2016 matrix starts at (0, 5418777) Tue Jun 28 01:08:15 2016 matrix is 10837362 x 5418762 (2472.6 MB) with weight 723342091 (133.49/col) Tue Jun 28 01:08:15 2016 sparse part has weight 588578825 (108.62/col) Tue Jun 28 01:08:15 2016 saving the first 48 matrix rows for later Tue Jun 28 01:08:17 2016 matrix includes 64 packed rows Tue Jun 28 01:08:18 2016 matrix is 10837314 x 5418762 (2386.0 MB) with weight 616380403 (113.75/col) Tue Jun 28 01:08:18 2016 sparse part has weight 571290263 (105.43/col) Tue Jun 28 01:08:18 2016 using block size 8192 and superblock size 1474560 for processor cache size 15360 kB Tue Jun 28 01:09:02 2016 commencing Lanczos iteration (6 threads) Tue Jun 28 01:09:02 2016 memory use: 2073.1 MB Thu Jun 30 01:41:00 2016 lanczos halted after 171377 iterations (dim = 10837313) Thu Jun 30 01:41:01 2016 lanczos error: only trivial dependencies found Thu Jun 30 01:41:02 2016 BLanczosTime: 176735 Thu Jun 30 01:41:02 2016 elapsed time 49:05:37 Thu Jun 30 01:41:26 2016 Thu Jun 30 01:41:26 2016 Thu Jun 30 01:41:26 2016 Msieve v. 1.53 (SVN 983M) Thu Jun 30 01:41:26 2016 random seeds: 9e74fc80 2d8db6dc Thu Jun 30 01:41:26 2016 factoring 348889989055321043334578870594260829458037779901354844494498528207581170128178693079034398110690931267625486134588499957958756297900414934863983493316837814650797754404474444331636681316557307099597276285633442919678895609673044724556586990659866103 (249 digits) Thu Jun 30 01:41:29 2016 no P-1/P+1/ECM available, skipping Thu Jun 30 01:41:29 2016 commencing number field sieve (249-digit input) Thu Jun 30 01:41:29 2016 R0: -1000000000000000000000000000000000000000000 Thu Jun 30 01:41:29 2016 R1: 1 Thu Jun 30 01:41:29 2016 A0: -1 Thu Jun 30 01:41:29 2016 A1: 0 Thu Jun 30 01:41:29 2016 A2: 0 Thu Jun 30 01:41:29 2016 A3: -60 Thu Jun 30 01:41:29 2016 A4: 0 Thu Jun 30 01:41:29 2016 A5: 0 Thu Jun 30 01:41:29 2016 A6: 1000 Thu Jun 30 01:41:29 2016 skew 1.00, size 1.321e-012, alpha 0.082, combined = 1.384e-013 rroots = 2 Thu Jun 30 01:41:29 2016 Thu Jun 30 01:41:29 2016 commencing square root phase Thu Jun 30 01:41:29 2016 reading relations for dependency 1 Thu Jun 30 01:41:33 2016 read 5418541 cycles Thu Jun 30 01:41:46 2016 cycles contain 18052168 unique relations Thu Jun 30 01:50:29 2016 read 18052168 relations Thu Jun 30 01:52:58 2016 multiplying 18052168 relations Thu Jun 30 02:20:16 2016 multiply complete, coefficients have about 633.64 million bits Thu Jun 30 02:20:22 2016 initial square root is modulo 483929 Thu Jun 30 02:50:35 2016 GCD is N, no factor found Thu Jun 30 02:50:35 2016 reading relations for dependency 2 Thu Jun 30 02:50:39 2016 read 5418463 cycles Thu Jun 30 02:50:52 2016 cycles contain 18050972 unique relations Thu Jun 30 02:59:31 2016 read 18050972 relations Thu Jun 30 03:01:49 2016 multiplying 18050972 relations Thu Jun 30 03:29:01 2016 multiply complete, coefficients have about 633.60 million bits Thu Jun 30 03:29:07 2016 initial square root is modulo 483551 Thu Jun 30 03:59:40 2016 GCD is 1, no factor found Thu Jun 30 03:59:40 2016 reading relations for dependency 3 Thu Jun 30 03:59:44 2016 read 5420339 cycles Thu Jun 30 03:59:57 2016 cycles contain 18058696 unique relations Thu Jun 30 04:08:39 2016 read 18058696 relations Thu Jun 30 04:10:55 2016 multiplying 18058696 relations Thu Jun 30 04:38:15 2016 multiply complete, coefficients have about 633.88 million bits Thu Jun 30 04:38:21 2016 initial square root is modulo 486377 Thu Jun 30 05:08:59 2016 GCD is N, no factor found Thu Jun 30 05:08:59 2016 reading relations for dependency 4 Thu Jun 30 05:09:03 2016 read 5417775 cycles Thu Jun 30 05:09:16 2016 cycles contain 18050892 unique relations Thu Jun 30 05:17:58 2016 read 18050892 relations Thu Jun 30 05:20:19 2016 multiplying 18050892 relations Thu Jun 30 05:47:42 2016 multiply complete, coefficients have about 633.60 million bits Thu Jun 30 05:47:48 2016 initial square root is modulo 483551 Thu Jun 30 06:18:21 2016 GCD is N, no factor found Thu Jun 30 06:18:21 2016 reading relations for dependency 5 Thu Jun 30 06:18:24 2016 read 5419954 cycles Thu Jun 30 06:18:38 2016 cycles contain 18052660 unique relations Thu Jun 30 06:27:18 2016 read 18052660 relations Thu Jun 30 06:29:36 2016 multiplying 18052660 relations Thu Jun 30 06:56:55 2016 multiply complete, coefficients have about 633.67 million bits Thu Jun 30 06:57:01 2016 initial square root is modulo 484259 Thu Jun 30 07:27:32 2016 GCD is 1, no factor found Thu Jun 30 07:27:32 2016 reading relations for dependency 6 Thu Jun 30 07:27:36 2016 read 5421674 cycles Thu Jun 30 07:27:49 2016 cycles contain 18057670 unique relations Thu Jun 30 07:36:30 2016 read 18057670 relations Thu Jun 30 07:38:52 2016 multiplying 18057670 relations Thu Jun 30 08:06:11 2016 multiply complete, coefficients have about 633.84 million bits Thu Jun 30 08:06:17 2016 initial square root is modulo 485909 Thu Jun 30 08:36:59 2016 sqrtTime: 24930 Thu Jun 30 08:36:59 2016 p122 factor: 14494087233323167828660550507887542252859347344543924071272220585015750203619472177686008910864614282267579627938545510781 Thu Jun 30 08:36:59 2016 p128 factor: 24071194235204587288433731990296295840306023226993934804629626681237700848449092034240892649774789438442527466935590532303064963 Thu Jun 30 08:36:59 2016 elapsed time 06:55:33 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 118 | Makoto Kamada | January 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2000 | 1000 | Dmitry Domanov | January 7, 2012 20:47:16 UTC 2012 年 1 月 8 日 (日) 5 時 47 分 16 秒 (日本時間) |
1000 | Dmitry Domanov | January 10, 2012 09:14:31 UTC 2012 年 1 月 10 日 (火) 18 時 14 分 31 秒 (日本時間) | |||
45 | 11e6 | 800 | Dmitry Domanov | January 11, 2012 13:37:16 UTC 2012 年 1 月 11 日 (水) 22 時 37 分 16 秒 (日本時間) | |
50 | 43e6 | 928 | Dmitry Domanov | February 5, 2012 19:48:21 UTC 2012 年 2 月 6 日 (月) 4 時 48 分 21 秒 (日本時間) | |
55 | 11e7 | 19229 | 2655 | yoyo@home | April 12, 2013 19:50:16 UTC 2013 年 4 月 13 日 (土) 4 時 50 分 16 秒 (日本時間) |
4 | KTakahashi | March 22, 2014 08:38:32 UTC 2014 年 3 月 22 日 (土) 17 時 38 分 32 秒 (日本時間) | |||
16570 | Youcef Lemsafer | May 17, 2016 15:59:02 UTC 2016 年 5 月 18 日 (水) 0 時 59 分 2 秒 (日本時間) | |||
60 | 26e7 | 1360 / 34627 | Youcef Lemsafer | May 24, 2016 15:20:59 UTC 2016 年 5 月 25 日 (水) 0 時 20 分 59 秒 (日本時間) |
name 名前 | Youcef Lemsafer |
---|---|
date 日付 | December 16, 2013 09:50:41 UTC 2013 年 12 月 16 日 (月) 18 時 50 分 41 秒 (日本時間) |
composite number 合成数 | 1228086543041694958940090938324416266010212654282696005519337364156638080392332102145370200871400370735823442182735178080827045941881378967790463143698884382269941749888631895289582226139382349046635626159842010747<214> |
prime factors 素因数 | 171460428270361797182702717224640849138587<42> 7162507147743890235373136712830678370987208732533515606481380264927478828197050247371257834843655415380729252989282650226051567952862908298054539340800464220918650246059681<172> |
factorization results 素因数分解の結果 | GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-gpu] [ECM] Input number is (10^263-10^131*6-1)/(3*59*167*541*9043*16193*7123870703025173*4881217387691562809) (214 digits) Using MODMULN [mulredc:0, sqrredc:1] Computing batch product (of zu bits) of primes below B1=0 took 0ms GPU: compiled for a NVIDIA GPU with compute capability 3.0. GPU: device 0 is required. GPU: will use device 0: GeForce GTX 660, compute capability 3.0, 5 MPs. GPU: Selection and initialization of the device took 32ms Using B1=3000000, B2=0, sigma=3:3720291627-3:3720293066 (1440 curves) dF=0, k=0, d=24, d2=0, i0=0 Expected number of curves to find a factor of n digits: 35 40 45 50 55 60 65 70 75 80 5388 51440 559187 6813685 9.3e+007 1.2e+009 5.4e+010 Inf Inf Inf Computing 1440 Step 1 took 54335ms of CPU time / 3872100ms of GPU time Throughput: 0.372 curves by second (on average 2688.96ms by Step 1) Expected time to find a factor of n digits: 35 40 45 50 55 60 65 70 75 80 4.02h 1.60d 17.40d 211.98d 7.90y 102.75y 4568y Inf Inf Inf Resuming ECM residue saved by ******@****** with GMP-ECM 7.0-dev on Mon Dec 16 08:48:50 2013 Input number is (10^263-10^131*6-1)/(3*59*167*541*9043*16193*7123870703025173*4881217387691562809) (214 digits) Using MODMULN [mulredc:0, sqrredc:1] Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3720292627 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 80 389 2872 25127 252850 2853276 3.6e+007 5.1e+008 7.8e+009 1.8e+011 2.3e+016 Step 1 took 16ms Using 26 small primes for NTT Estimated memory usage: 71M Initializing tables of differences for F took 32ms Computing roots of F took 920ms Building F from its roots took 2137ms Computing 1/F took 1123ms Initializing table of differences for G took 31ms Computing roots of G took 858ms Building G from its roots took 2278ms Computing roots of G took 842ms Building G from its roots took 2122ms Computing G * H took 671ms Reducing G * H mod F took 624ms Computing polyeval(F,G) took 4041ms Computing product of all F(g_i) took 15ms Step 2 took 15756ms ********** Factor found in step 2: 171460428270361797182702717224640849138587 Found probable prime factor of 42 digits: 171460428270361797182702717224640849138587 Probable prime cofactor ((10^263-10^131*6-1)/(3*59*167*541*9043*16193*7123870703025173*4881217387691562809))/171460428270361797182702717224640849138587 has 172 digits |
execution environment 実行環境 | Windows 7 Pro 64bits, 2x Intel Xeon E5-2620 @ 2.0 GHz, 2x NVIDIA GeForce GTX660, 32GB RAM |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 118 | Makoto Kamada | January 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 1735 / 2318 | 1000 | Dmitry Domanov | January 10, 2012 09:14:41 UTC 2012 年 1 月 10 日 (火) 18 時 14 分 41 秒 (日本時間) |
735 | Youcef Lemsafer | December 16, 2013 09:45:38 UTC 2013 年 12 月 16 日 (月) 18 時 45 分 38 秒 (日本時間) |
name 名前 | Youcef Lemsafer |
---|---|
date 日付 | January 9, 2017 05:38:45 UTC 2017 年 1 月 9 日 (月) 14 時 38 分 45 秒 (日本時間) |
composite number 合成数 | 918080964991993940013963458211019592913063759873219428702170292525323806603521990301660208226645855031343482397306493585577513373934402501788116022068903633773886859721732954157134570413908928254743319296599445314834854692413823925142015301075168377<249> |
prime factors 素因数 | 3124051843076588739664298167139464963477481512644640147979388917<64> 293875073496815340306786764834477471300096595230382124539020529633936612412923175391818727181763320873628079257010031817059114844356816490096362434133882114983535258126826732845473723381<186> |
factorization results 素因数分解の結果 | <Parameters where as follows:> # # 33133_132, C249, SNFS_diff=265 # f(X)=10*X^6-6*X^3-1 # g(X)=X-10^44 # n: 918080964991993940013963458211019592913063759873219428702170292525323806603521990301660208226645855031343482397306493585577513373934402501788116022068903633773886859721732954157134570413908928254743319296599445314834854692413823925142015301075168377 Y0: -100000000000000000000000000000000000000000000 Y1: 1 deg: 6 c6: 10 c3: -6 c0: -1 skew: 0.681 type: snfs rlim: 220000000 alim: 220000000 lpbr: 32 lpba: 32 mfbr: 64 mfba: 64 rlambda: 2.8 alambda: 2.8 <Sieved from 40e6 to 192e6 using gnfs-lasieve4I15e -r.> <Sieving done using 6 threads on Intel Xeon E5-1650v3 @3.5GHz> <and 12 threads on Intel Core i7-5820K> <Sieve time: 26290 thread.hours (~72 calendar days).> <Note: 284e6 and 316e6 relations were not enough to get to <the clique removal stage of the filtering.> <Filtering on Core i7-5820K running Debian 8:> Tue Dec 27 11:11:04 2016 Tue Dec 27 11:11:04 2016 Tue Dec 27 11:11:04 2016 Msieve v. 1.53 (SVN 991) Tue Dec 27 11:11:04 2016 random seeds: 08e96fed e7511b6d Tue Dec 27 11:11:04 2016 factoring 918080964991993940013963458211019592913063759873219428702170292525323806603521990301660208226645855031343482397306493585577513373934402501788116022068903633773886859721732954157134570413908928254743319296599445314834854692413823925142015301075168377 (249 digits) Tue Dec 27 11:11:05 2016 no P-1/P+1/ECM available, skipping Tue Dec 27 11:11:05 2016 commencing number field sieve (249-digit input) Tue Dec 27 11:11:05 2016 R0: -100000000000000000000000000000000000000000000 Tue Dec 27 11:11:05 2016 R1: 1 Tue Dec 27 11:11:05 2016 A0: -1 Tue Dec 27 11:11:05 2016 A1: 0 Tue Dec 27 11:11:05 2016 A2: 0 Tue Dec 27 11:11:05 2016 A3: -6 Tue Dec 27 11:11:05 2016 A4: 0 Tue Dec 27 11:11:05 2016 A5: 0 Tue Dec 27 11:11:05 2016 A6: 10 Tue Dec 27 11:11:05 2016 skew 1.00, size 4.122e-13, alpha 2.240, combined = 5.980e-14 rroots = 2 Tue Dec 27 11:11:05 2016 Tue Dec 27 11:11:05 2016 commencing relation filtering Tue Dec 27 11:11:05 2016 setting target matrix density to 116.0 Tue Dec 27 11:11:05 2016 estimated available RAM is 64456.1 MB Tue Dec 27 11:11:05 2016 commencing duplicate removal, pass 1 Tue Dec 27 11:11:55 2016 error -9 reading relation 6117072 Tue Dec 27 11:11:55 2016 error -5 reading relation 6138584 Tue Dec 27 11:11:56 2016 error -1 reading relation 6159984 Tue Dec 27 11:11:56 2016 error -9 reading relation 6201010 Tue Dec 27 11:12:11 2016 error -15 reading relation 8000598 Tue Dec 27 11:12:11 2016 error -9 reading relation 8021753 Tue Dec 27 11:12:11 2016 error -5 reading relation 8042537 Tue Dec 27 11:12:11 2016 error -1 reading relation 8083569 Tue Dec 27 11:12:12 2016 error -15 reading relation 8104752 Tue Dec 27 11:18:16 2016 error -1 reading relation 52667967 Tue Dec 27 11:18:17 2016 error -9 reading relation 52688382 Tue Dec 27 11:18:17 2016 error -1 reading relation 52708483 Tue Dec 27 11:18:17 2016 error -15 reading relation 52748934 Tue Dec 27 11:18:41 2016 error -9 reading relation 55706932 Tue Dec 27 11:18:41 2016 error -1 reading relation 55727133 Tue Dec 27 11:18:42 2016 error -5 reading relation 55768122 Tue Dec 27 11:18:42 2016 error -9 reading relation 55787813 Tue Dec 27 11:18:42 2016 error -9 reading relation 55806946 Tue Dec 27 11:22:27 2016 error -9 reading relation 83280531 Tue Dec 27 11:27:45 2016 error -15 reading relation 122021168 Tue Dec 27 11:27:46 2016 error -1 reading relation 122041204 Tue Dec 27 11:27:46 2016 error -15 reading relation 122117306 Tue Dec 27 11:27:46 2016 error -9 reading relation 122135602 Tue Dec 27 11:29:30 2016 error -5 reading relation 134718426 Tue Dec 27 11:29:30 2016 error -15 reading relation 134755905 Tue Dec 27 11:29:30 2016 error -1 reading relation 134793047 Tue Dec 27 11:29:31 2016 error -9 reading relation 134811742 Tue Dec 27 11:29:31 2016 error -9 reading relation 134869816 Tue Dec 27 11:54:46 2016 error -15 reading relation 318502637 Tue Dec 27 11:54:46 2016 error -1 reading relation 318519306 Tue Dec 27 11:54:46 2016 error -15 reading relation 318536440 Tue Dec 27 11:55:01 2016 error -9 reading relation 320284145 Tue Dec 27 11:55:01 2016 error -15 reading relation 320300164 Tue Dec 27 11:55:01 2016 error -5 reading relation 320317512 Tue Dec 27 11:55:01 2016 error -1 reading relation 320334032 Tue Dec 27 11:59:00 2016 skipped 2318 relations with b > 2^32 Tue Dec 27 11:59:00 2016 skipped 30 relations with composite factors Tue Dec 27 11:59:00 2016 found 62964342 hash collisions in 349056573 relations Tue Dec 27 11:59:18 2016 added 406196 free relations Tue Dec 27 11:59:18 2016 commencing duplicate removal, pass 2 Tue Dec 27 12:05:12 2016 found 53185056 duplicates and 296277713 unique relations Tue Dec 27 12:05:12 2016 memory use: 1449.5 MB Tue Dec 27 12:05:12 2016 reading ideals above 191954944 Tue Dec 27 12:05:12 2016 commencing singleton removal, initial pass Tue Dec 27 12:35:59 2016 memory use: 6024.0 MB Tue Dec 27 12:35:59 2016 reading all ideals from disk Tue Dec 27 12:36:01 2016 memory use: 5338.0 MB Tue Dec 27 12:36:15 2016 commencing in-memory singleton removal Tue Dec 27 12:36:28 2016 begin with 296277713 relations and 291951207 unique ideals Tue Dec 27 12:38:55 2016 reduce to 134151744 relations and 105735419 ideals in 21 passes Tue Dec 27 12:38:55 2016 max relations containing the same ideal: 36 Tue Dec 27 12:39:02 2016 reading ideals above 720000 Tue Dec 27 12:39:03 2016 commencing singleton removal, initial pass Tue Dec 27 12:58:41 2016 memory use: 3012.0 MB Tue Dec 27 12:58:41 2016 reading all ideals from disk Tue Dec 27 12:58:43 2016 memory use: 5606.0 MB Tue Dec 27 12:59:01 2016 keeping 126344696 ideals with weight <= 200, target excess is 709544 Tue Dec 27 12:59:20 2016 commencing in-memory singleton removal Tue Dec 27 12:59:34 2016 begin with 134151745 relations and 126344696 unique ideals Tue Dec 27 13:02:24 2016 reduce to 134146816 relations and 126339767 ideals in 12 passes Tue Dec 27 13:02:24 2016 max relations containing the same ideal: 200 Tue Dec 27 13:03:39 2016 removing 10705878 relations and 9705878 ideals in 1000000 cliques Tue Dec 27 13:03:43 2016 commencing in-memory singleton removal Tue Dec 27 13:03:56 2016 begin with 123440938 relations and 126339767 unique ideals Tue Dec 27 13:06:18 2016 reduce to 122760445 relations and 115946140 ideals in 11 passes Tue Dec 27 13:06:18 2016 max relations containing the same ideal: 196 Tue Dec 27 13:07:27 2016 removing 7831237 relations and 6831237 ideals in 1000000 cliques Tue Dec 27 13:07:29 2016 commencing in-memory singleton removal Tue Dec 27 13:07:42 2016 begin with 114929208 relations and 115946140 unique ideals Tue Dec 27 13:09:30 2016 reduce to 114522666 relations and 108704844 ideals in 9 passes Tue Dec 27 13:09:30 2016 max relations containing the same ideal: 190 Tue Dec 27 13:10:34 2016 removing 6924248 relations and 5924248 ideals in 1000000 cliques Tue Dec 27 13:10:36 2016 commencing in-memory singleton removal Tue Dec 27 13:10:48 2016 begin with 107598418 relations and 108704844 unique ideals Tue Dec 27 13:12:40 2016 reduce to 107254126 relations and 102433337 ideals in 10 passes Tue Dec 27 13:12:40 2016 max relations containing the same ideal: 181 Tue Dec 27 13:13:40 2016 removing 6428450 relations and 5428450 ideals in 1000000 cliques Tue Dec 27 13:13:43 2016 commencing in-memory singleton removal Tue Dec 27 13:13:54 2016 begin with 100825676 relations and 102433337 unique ideals Tue Dec 27 13:15:28 2016 reduce to 100507924 relations and 96684282 ideals in 9 passes Tue Dec 27 13:15:28 2016 max relations containing the same ideal: 175 Tue Dec 27 13:16:24 2016 removing 6113102 relations and 5113102 ideals in 1000000 cliques Tue Dec 27 13:16:26 2016 commencing in-memory singleton removal Tue Dec 27 13:16:36 2016 begin with 94394822 relations and 96684282 unique ideals Tue Dec 27 13:18:04 2016 reduce to 94092372 relations and 91265944 ideals in 9 passes Tue Dec 27 13:18:04 2016 max relations containing the same ideal: 168 Tue Dec 27 13:18:57 2016 removing 5890832 relations and 4890832 ideals in 1000000 cliques Tue Dec 27 13:18:59 2016 commencing in-memory singleton removal Tue Dec 27 13:19:08 2016 begin with 88201540 relations and 91265944 unique ideals Tue Dec 27 13:20:21 2016 reduce to 87897894 relations and 86068595 ideals in 8 passes Tue Dec 27 13:20:21 2016 max relations containing the same ideal: 164 Tue Dec 27 13:21:11 2016 removing 5735480 relations and 4735480 ideals in 1000000 cliques Tue Dec 27 13:21:13 2016 commencing in-memory singleton removal Tue Dec 27 13:21:21 2016 begin with 82162414 relations and 86068595 unique ideals Tue Dec 27 13:22:37 2016 reduce to 81855027 relations and 81022657 ideals in 9 passes Tue Dec 27 13:22:37 2016 max relations containing the same ideal: 153 Tue Dec 27 13:23:23 2016 removing 105036 relations and 95738 ideals in 9298 cliques Tue Dec 27 13:23:24 2016 commencing in-memory singleton removal Tue Dec 27 13:23:33 2016 begin with 81749991 relations and 81022657 unique ideals Tue Dec 27 13:24:06 2016 reduce to 81749896 relations and 80926824 ideals in 4 passes Tue Dec 27 13:24:06 2016 max relations containing the same ideal: 153 Tue Dec 27 13:24:25 2016 relations with 0 large ideals: 9125 Tue Dec 27 13:24:25 2016 relations with 1 large ideals: 2814 Tue Dec 27 13:24:25 2016 relations with 2 large ideals: 53369 Tue Dec 27 13:24:25 2016 relations with 3 large ideals: 511047 Tue Dec 27 13:24:25 2016 relations with 4 large ideals: 2696305 Tue Dec 27 13:24:25 2016 relations with 5 large ideals: 8613131 Tue Dec 27 13:24:25 2016 relations with 6 large ideals: 17283897 Tue Dec 27 13:24:25 2016 relations with 7+ large ideals: 52580208 Tue Dec 27 13:24:25 2016 commencing 2-way merge Tue Dec 27 13:25:29 2016 reduce to 48589276 relation sets and 47766204 unique ideals Tue Dec 27 13:25:29 2016 commencing full merge Tue Dec 27 14:08:18 2016 memory use: 2202.3 MB Tue Dec 27 14:08:18 2016 found 110747 cycles, need 10096744 Tue Dec 27 14:08:18 2016 too few cycles, matrix probably cannot build Tue Dec 27 14:10:31 2016 Tue Dec 27 14:10:31 2016 Tue Dec 27 14:10:31 2016 Msieve v. 1.53 (SVN 991) Tue Dec 27 14:10:31 2016 random seeds: f4edf9b1 f1713c8d Tue Dec 27 14:10:31 2016 factoring 918080964991993940013963458211019592913063759873219428702170292525323806603521990301660208226645855031343482397306493585577513373934402501788116022068903633773886859721732954157134570413908928254743319296599445314834854692413823925142015301075168377 (249 digits) Tue Dec 27 14:10:32 2016 no P-1/P+1/ECM available, skipping Tue Dec 27 14:10:32 2016 commencing number field sieve (249-digit input) Tue Dec 27 14:10:32 2016 R0: -100000000000000000000000000000000000000000000 Tue Dec 27 14:10:32 2016 R1: 1 Tue Dec 27 14:10:32 2016 A0: -1 Tue Dec 27 14:10:32 2016 A1: 0 Tue Dec 27 14:10:32 2016 A2: 0 Tue Dec 27 14:10:32 2016 A3: -6 Tue Dec 27 14:10:32 2016 A4: 0 Tue Dec 27 14:10:32 2016 A5: 0 Tue Dec 27 14:10:32 2016 A6: 10 Tue Dec 27 14:10:32 2016 skew 1.00, size 4.122e-13, alpha 2.240, combined = 5.980e-14 rroots = 2 Tue Dec 27 14:10:32 2016 Tue Dec 27 14:10:32 2016 commencing relation filtering Tue Dec 27 14:10:32 2016 setting target matrix density to 104.0 Tue Dec 27 14:10:32 2016 estimated available RAM is 64456.1 MB Tue Dec 27 14:10:32 2016 commencing duplicate removal, pass 1 Tue Dec 27 14:11:23 2016 error -9 reading relation 6117072 Tue Dec 27 14:11:23 2016 error -5 reading relation 6138584 Tue Dec 27 14:11:23 2016 error -1 reading relation 6159984 Tue Dec 27 14:11:23 2016 error -9 reading relation 6201010 Tue Dec 27 14:11:38 2016 error -15 reading relation 8000598 Tue Dec 27 14:11:39 2016 error -9 reading relation 8021753 Tue Dec 27 14:11:39 2016 error -5 reading relation 8042537 Tue Dec 27 14:11:39 2016 error -1 reading relation 8083569 Tue Dec 27 14:11:39 2016 error -15 reading relation 8104752 Tue Dec 27 14:17:44 2016 error -1 reading relation 52667967 Tue Dec 27 14:17:45 2016 error -9 reading relation 52688382 Tue Dec 27 14:17:45 2016 error -1 reading relation 52708483 Tue Dec 27 14:17:45 2016 error -15 reading relation 52748934 Tue Dec 27 14:18:09 2016 error -9 reading relation 55706932 Tue Dec 27 14:18:09 2016 error -1 reading relation 55727133 Tue Dec 27 14:18:10 2016 error -5 reading relation 55768122 Tue Dec 27 14:18:10 2016 error -9 reading relation 55787813 Tue Dec 27 14:18:10 2016 error -9 reading relation 55806946 Tue Dec 27 14:21:55 2016 error -9 reading relation 83280531 Tue Dec 27 14:27:14 2016 error -15 reading relation 122021168 Tue Dec 27 14:27:15 2016 error -1 reading relation 122041204 Tue Dec 27 14:27:15 2016 error -15 reading relation 122117306 Tue Dec 27 14:27:15 2016 error -9 reading relation 122135602 Tue Dec 27 14:29:01 2016 error -5 reading relation 134718426 Tue Dec 27 14:29:02 2016 error -15 reading relation 134755905 Tue Dec 27 14:29:02 2016 error -1 reading relation 134793047 Tue Dec 27 14:29:02 2016 error -9 reading relation 134811742 Tue Dec 27 14:29:03 2016 error -9 reading relation 134869816 Tue Dec 27 14:54:14 2016 error -15 reading relation 318502637 Tue Dec 27 14:54:14 2016 error -1 reading relation 318519306 Tue Dec 27 14:54:15 2016 error -15 reading relation 318536440 Tue Dec 27 14:54:29 2016 error -9 reading relation 320284145 Tue Dec 27 14:54:29 2016 error -15 reading relation 320300164 Tue Dec 27 14:54:29 2016 error -5 reading relation 320317512 Tue Dec 27 14:54:30 2016 error -1 reading relation 320334032 Tue Dec 27 14:58:32 2016 skipped 2318 relations with b > 2^32 Tue Dec 27 14:58:32 2016 skipped 30 relations with composite factors Tue Dec 27 14:58:32 2016 found 63006730 hash collisions in 349462769 relations Tue Dec 27 14:58:49 2016 commencing duplicate removal, pass 2 Tue Dec 27 15:04:42 2016 found 53185056 duplicates and 296277713 unique relations Tue Dec 27 15:04:42 2016 memory use: 1449.5 MB Tue Dec 27 15:04:42 2016 reading ideals above 191954944 Tue Dec 27 15:04:42 2016 commencing singleton removal, initial pass Tue Dec 27 15:35:32 2016 memory use: 6024.0 MB Tue Dec 27 15:35:33 2016 reading all ideals from disk Tue Dec 27 15:35:35 2016 memory use: 5338.0 MB Tue Dec 27 15:35:48 2016 commencing in-memory singleton removal Tue Dec 27 15:36:01 2016 begin with 296277713 relations and 291951207 unique ideals Tue Dec 27 15:38:28 2016 reduce to 134151744 relations and 105735419 ideals in 21 passes Tue Dec 27 15:38:28 2016 max relations containing the same ideal: 36 Tue Dec 27 15:38:36 2016 reading ideals above 720000 Tue Dec 27 15:38:36 2016 commencing singleton removal, initial pass Tue Dec 27 15:58:14 2016 memory use: 3012.0 MB Tue Dec 27 15:58:14 2016 reading all ideals from disk Tue Dec 27 15:58:16 2016 memory use: 5606.0 MB Tue Dec 27 15:58:34 2016 keeping 126344696 ideals with weight <= 200, target excess is 709544 Tue Dec 27 15:58:52 2016 commencing in-memory singleton removal Tue Dec 27 15:59:07 2016 begin with 134151745 relations and 126344696 unique ideals Tue Dec 27 16:01:59 2016 reduce to 134146816 relations and 126339767 ideals in 12 passes Tue Dec 27 16:01:59 2016 max relations containing the same ideal: 200 Tue Dec 27 16:03:15 2016 removing 10705878 relations and 9705878 ideals in 1000000 cliques Tue Dec 27 16:03:18 2016 commencing in-memory singleton removal Tue Dec 27 16:03:32 2016 begin with 123440938 relations and 126339767 unique ideals Tue Dec 27 16:05:57 2016 reduce to 122760445 relations and 115946140 ideals in 11 passes Tue Dec 27 16:05:57 2016 max relations containing the same ideal: 196 Tue Dec 27 16:07:06 2016 removing 7831237 relations and 6831237 ideals in 1000000 cliques Tue Dec 27 16:07:09 2016 commencing in-memory singleton removal Tue Dec 27 16:07:21 2016 begin with 114929208 relations and 115946140 unique ideals Tue Dec 27 16:09:10 2016 reduce to 114522666 relations and 108704844 ideals in 9 passes Tue Dec 27 16:09:10 2016 max relations containing the same ideal: 190 Tue Dec 27 16:10:14 2016 removing 6924248 relations and 5924248 ideals in 1000000 cliques Tue Dec 27 16:10:16 2016 commencing in-memory singleton removal Tue Dec 27 16:10:28 2016 begin with 107598418 relations and 108704844 unique ideals Tue Dec 27 16:12:21 2016 reduce to 107254126 relations and 102433337 ideals in 10 passes Tue Dec 27 16:12:21 2016 max relations containing the same ideal: 181 Tue Dec 27 16:13:21 2016 removing 6428450 relations and 5428450 ideals in 1000000 cliques Tue Dec 27 16:13:23 2016 commencing in-memory singleton removal Tue Dec 27 16:13:34 2016 begin with 100825676 relations and 102433337 unique ideals Tue Dec 27 16:15:08 2016 reduce to 100507924 relations and 96684282 ideals in 9 passes Tue Dec 27 16:15:08 2016 max relations containing the same ideal: 175 Tue Dec 27 16:16:04 2016 removing 6113102 relations and 5113102 ideals in 1000000 cliques Tue Dec 27 16:16:06 2016 commencing in-memory singleton removal Tue Dec 27 16:16:16 2016 begin with 94394822 relations and 96684282 unique ideals Tue Dec 27 16:17:44 2016 reduce to 94092372 relations and 91265944 ideals in 9 passes Tue Dec 27 16:17:44 2016 max relations containing the same ideal: 168 Tue Dec 27 16:18:37 2016 removing 5890832 relations and 4890832 ideals in 1000000 cliques Tue Dec 27 16:18:39 2016 commencing in-memory singleton removal Tue Dec 27 16:18:48 2016 begin with 88201540 relations and 91265944 unique ideals Tue Dec 27 16:20:01 2016 reduce to 87897894 relations and 86068595 ideals in 8 passes Tue Dec 27 16:20:01 2016 max relations containing the same ideal: 164 Tue Dec 27 16:20:50 2016 removing 5735480 relations and 4735480 ideals in 1000000 cliques Tue Dec 27 16:20:52 2016 commencing in-memory singleton removal Tue Dec 27 16:21:01 2016 begin with 82162414 relations and 86068595 unique ideals Tue Dec 27 16:22:17 2016 reduce to 81855027 relations and 81022657 ideals in 9 passes Tue Dec 27 16:22:17 2016 max relations containing the same ideal: 153 Tue Dec 27 16:23:03 2016 removing 105036 relations and 95738 ideals in 9298 cliques Tue Dec 27 16:23:04 2016 commencing in-memory singleton removal Tue Dec 27 16:23:13 2016 begin with 81749991 relations and 81022657 unique ideals Tue Dec 27 16:23:46 2016 reduce to 81749896 relations and 80926824 ideals in 4 passes Tue Dec 27 16:23:46 2016 max relations containing the same ideal: 153 Tue Dec 27 16:24:05 2016 relations with 0 large ideals: 9125 Tue Dec 27 16:24:05 2016 relations with 1 large ideals: 2814 Tue Dec 27 16:24:05 2016 relations with 2 large ideals: 53369 Tue Dec 27 16:24:05 2016 relations with 3 large ideals: 511047 Tue Dec 27 16:24:05 2016 relations with 4 large ideals: 2696305 Tue Dec 27 16:24:05 2016 relations with 5 large ideals: 8613131 Tue Dec 27 16:24:05 2016 relations with 6 large ideals: 17283897 Tue Dec 27 16:24:05 2016 relations with 7+ large ideals: 52580208 Tue Dec 27 16:24:05 2016 commencing 2-way merge Tue Dec 27 16:25:08 2016 reduce to 48589276 relation sets and 47766204 unique ideals Tue Dec 27 16:25:08 2016 commencing full merge Tue Dec 27 16:42:41 2016 memory use: 6074.6 MB Tue Dec 27 16:42:46 2016 found 22911099 cycles, need 22868404 Tue Dec 27 16:42:53 2016 weight of 22868404 cycles is about 2378478156 (104.01/cycle) Tue Dec 27 16:42:53 2016 distribution of cycle lengths: Tue Dec 27 16:42:53 2016 1 relations: 2423288 Tue Dec 27 16:42:53 2016 2 relations: 2133152 Tue Dec 27 16:42:53 2016 3 relations: 2071045 Tue Dec 27 16:42:53 2016 4 relations: 1926894 Tue Dec 27 16:42:53 2016 5 relations: 1815264 Tue Dec 27 16:42:53 2016 6 relations: 1644308 Tue Dec 27 16:42:53 2016 7 relations: 1511418 Tue Dec 27 16:42:53 2016 8 relations: 1351907 Tue Dec 27 16:42:53 2016 9 relations: 1211793 Tue Dec 27 16:42:53 2016 10+ relations: 6779335 Tue Dec 27 16:42:53 2016 heaviest cycle: 28 relations Tue Dec 27 16:42:58 2016 commencing cycle optimization Tue Dec 27 16:43:36 2016 start with 167574957 relations Tue Dec 27 16:48:35 2016 pruned 5016322 relations Tue Dec 27 16:48:35 2016 memory use: 5061.3 MB Tue Dec 27 16:48:35 2016 distribution of cycle lengths: Tue Dec 27 16:48:35 2016 1 relations: 2423288 Tue Dec 27 16:48:35 2016 2 relations: 2183243 Tue Dec 27 16:48:35 2016 3 relations: 2145546 Tue Dec 27 16:48:35 2016 4 relations: 1981522 Tue Dec 27 16:48:35 2016 5 relations: 1872325 Tue Dec 27 16:48:35 2016 6 relations: 1683561 Tue Dec 27 16:48:35 2016 7 relations: 1543411 Tue Dec 27 16:48:35 2016 8 relations: 1372036 Tue Dec 27 16:48:35 2016 9 relations: 1227161 Tue Dec 27 16:48:35 2016 10+ relations: 6436311 Tue Dec 27 16:48:35 2016 heaviest cycle: 28 relations Tue Dec 27 16:49:30 2016 RelProcTime: 9538 Tue Dec 27 16:49:30 2016 elapsed time 02:38:59 <Linear algebra + square root on dual Intel Xeon E5-2620 @2.0GHz:> Tue Dec 27 19:00:44 2016 Tue Dec 27 19:00:44 2016 Tue Dec 27 19:00:44 2016 Msieve v. 1.53 (SVN 975) Tue Dec 27 19:00:44 2016 random seeds: 00660aea 296c8888 Tue Dec 27 19:00:44 2016 MPI process 0 of 2 Tue Dec 27 19:00:44 2016 factoring 918080964991993940013963458211019592913063759873219428702170292525323806603521990301660208226645855031343482397306493585577513373934402501788116022068903633773886859721732954157134570413908928254743319296599445314834854692413823925142015301075168377 (249 digits) Tue Dec 27 19:00:46 2016 no P-1/P+1/ECM available, skipping Tue Dec 27 19:00:46 2016 commencing number field sieve (249-digit input) Tue Dec 27 19:00:46 2016 R0: -100000000000000000000000000000000000000000000 Tue Dec 27 19:00:46 2016 R1: 1 Tue Dec 27 19:00:46 2016 A0: -1 Tue Dec 27 19:00:46 2016 A1: 0 Tue Dec 27 19:00:46 2016 A2: 0 Tue Dec 27 19:00:46 2016 A3: -6 Tue Dec 27 19:00:46 2016 A4: 0 Tue Dec 27 19:00:46 2016 A5: 0 Tue Dec 27 19:00:46 2016 A6: 10 Tue Dec 27 19:00:46 2016 skew 1.00, size 4.122e-13, alpha 2.240, combined = 5.980e-14 rroots = 2 Tue Dec 27 19:00:46 2016 Tue Dec 27 19:00:46 2016 commencing linear algebra Tue Dec 27 19:00:47 2016 initialized process (0,0) of 1 x 2 grid Tue Dec 27 19:00:59 2016 read 22868404 cycles Tue Dec 27 19:02:09 2016 cycles contain 81040630 unique relations Tue Dec 27 19:24:26 2016 read 81040630 relations Tue Dec 27 19:28:05 2016 using 20 quadratic characters above 4294917296 Tue Dec 27 19:35:52 2016 building initial matrix Tue Dec 27 19:56:29 2016 memory use: 10645.4 MB Tue Dec 27 19:57:15 2016 read 22868404 cycles Tue Dec 27 19:57:20 2016 matrix is 22868227 x 22868404 (9495.9 MB) with weight 2723041076 (119.07/col) Tue Dec 27 19:57:20 2016 sparse part has weight 2260615782 (98.85/col) Tue Dec 27 20:06:44 2016 filtering completed in 2 passes Tue Dec 27 20:06:50 2016 matrix is 22866252 x 22866429 (9495.8 MB) with weight 2722983448 (119.08/col) Tue Dec 27 20:06:50 2016 sparse part has weight 2260599366 (98.86/col) Tue Dec 27 20:09:28 2016 matrix starts at (0, 0) Tue Dec 27 20:09:30 2016 matrix is 22866252 x 11433238 (4747.9 MB) with weight 1361498141 (119.08/col) Tue Dec 27 20:09:30 2016 sparse part has weight 1130299812 (98.86/col) Tue Dec 27 20:09:30 2016 saving the first 48 matrix rows for later Tue Dec 27 20:09:34 2016 matrix includes 64 packed rows Tue Dec 27 20:09:41 2016 matrix is 22866204 x 11433238 (4563.6 MB) with weight 1145600066 (100.20/col) Tue Dec 27 20:09:41 2016 sparse part has weight 1081987707 (94.64/col) Tue Dec 27 20:09:41 2016 using block size 8192 and superblock size 1474560 for processor cache size 15360 kB Tue Dec 27 20:11:26 2016 commencing Lanczos iteration (6 threads) Tue Dec 27 20:11:26 2016 memory use: 4014.8 MB Tue Dec 27 20:13:06 2016 linear algebra at 0.0%, ETA 284h53m Tue Dec 27 20:13:28 2016 checkpointing every 90000 dimensions Sun Jan 8 13:12:23 2017 lanczos halted after 361601 iterations (dim = 22866202) Sun Jan 8 13:12:54 2017 recovered 34 nontrivial dependencies Sun Jan 8 13:12:57 2017 BLanczosTime: 1015931 Sun Jan 8 13:12:57 2017 elapsed time 282:12:13 Sun Jan 08 13:13:08 2017 Sun Jan 08 13:13:08 2017 Sun Jan 08 13:13:08 2017 Msieve v. 1.53 (SVN 983M) Sun Jan 08 13:13:08 2017 random seeds: 545c5f20 03d8fae6 Sun Jan 08 13:13:08 2017 factoring 918080964991993940013963458211019592913063759873219428702170292525323806603521990301660208226645855031343482397306493585577513373934402501788116022068903633773886859721732954157134570413908928254743319296599445314834854692413823925142015301075168377 (249 digits) Sun Jan 08 13:13:11 2017 no P-1/P+1/ECM available, skipping Sun Jan 08 13:13:11 2017 commencing number field sieve (249-digit input) Sun Jan 08 13:13:11 2017 R0: -100000000000000000000000000000000000000000000 Sun Jan 08 13:13:11 2017 R1: 1 Sun Jan 08 13:13:11 2017 A0: -1 Sun Jan 08 13:13:11 2017 A1: 0 Sun Jan 08 13:13:11 2017 A2: 0 Sun Jan 08 13:13:11 2017 A3: -6 Sun Jan 08 13:13:11 2017 A4: 0 Sun Jan 08 13:13:11 2017 A5: 0 Sun Jan 08 13:13:11 2017 A6: 10 Sun Jan 08 13:13:11 2017 skew 1.00, size 4.122e-013, alpha 2.240, combined = 5.980e-014 rroots = 2 Sun Jan 08 13:13:11 2017 Sun Jan 08 13:13:11 2017 commencing square root phase Sun Jan 08 13:13:11 2017 reading relations for dependency 1 Sun Jan 08 13:13:18 2017 read 11434800 cycles Sun Jan 08 13:13:45 2017 cycles contain 40522848 unique relations Sun Jan 08 13:29:13 2017 read 40522848 relations Sun Jan 08 13:34:09 2017 multiplying 40522848 relations Sun Jan 08 14:29:58 2017 multiply complete, coefficients have about 1191.87 million bits Sun Jan 08 14:30:10 2017 initial square root is modulo 222029 Sun Jan 08 15:31:25 2017 GCD is 1, no factor found Sun Jan 08 15:31:25 2017 reading relations for dependency 2 Sun Jan 08 15:31:32 2017 read 11437422 cycles Sun Jan 08 15:31:59 2017 cycles contain 40529342 unique relations Sun Jan 08 15:47:30 2017 read 40529342 relations Sun Jan 08 15:52:25 2017 multiplying 40529342 relations Sun Jan 08 16:48:07 2017 multiply complete, coefficients have about 1192.04 million bits Sun Jan 08 16:48:19 2017 initial square root is modulo 222493 Sun Jan 08 17:49:37 2017 GCD is 1, no factor found Sun Jan 08 17:49:37 2017 reading relations for dependency 3 Sun Jan 08 17:49:44 2017 read 11432397 cycles Sun Jan 08 17:50:11 2017 cycles contain 40519804 unique relations Sun Jan 08 18:05:42 2017 read 40519804 relations Sun Jan 08 18:10:38 2017 multiplying 40519804 relations Sun Jan 08 19:06:29 2017 multiply complete, coefficients have about 1191.76 million bits Sun Jan 08 19:06:41 2017 initial square root is modulo 221797 Sun Jan 08 20:07:35 2017 GCD is N, no factor found Sun Jan 08 20:07:35 2017 reading relations for dependency 4 Sun Jan 08 20:07:41 2017 read 11429395 cycles Sun Jan 08 20:08:09 2017 cycles contain 40502938 unique relations Sun Jan 08 20:23:41 2017 read 40502938 relations Sun Jan 08 20:28:36 2017 multiplying 40502938 relations Sun Jan 08 21:24:28 2017 multiply complete, coefficients have about 1191.27 million bits Sun Jan 08 21:24:40 2017 initial square root is modulo 220667 Sun Jan 08 22:26:17 2017 sqrtTime: 33186 Sun Jan 08 22:26:17 2017 p64 factor: 3124051843076588739664298167139464963477481512644640147979388917 Sun Jan 08 22:26:17 2017 p186 factor: 293875073496815340306786764834477471300096595230382124539020529633936612412923175391818727181763320873628079257010031817059114844356816490096362434133882114983535258126826732845473723381 Sun Jan 08 22:26:17 2017 elapsed time 09:13:09 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 118 | Makoto Kamada | January 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2440 | 1000 | Dmitry Domanov | January 10, 2012 09:14:49 UTC 2012 年 1 月 10 日 (火) 18 時 14 分 49 秒 (日本時間) |
1440 | Youcef Lemsafer | December 16, 2013 09:58:09 UTC 2013 年 12 月 16 日 (月) 18 時 58 分 9 秒 (日本時間) | |||
45 | 11e6 | 3072 | Youcef Lemsafer | June 14, 2014 09:48:33 UTC 2014 年 6 月 14 日 (土) 18 時 48 分 33 秒 (日本時間) | |
50 | 43e6 | 641 | 640 | Youcef Lemsafer | June 16, 2014 05:24:09 UTC 2014 年 6 月 16 日 (月) 14 時 24 分 9 秒 (日本時間) |
1 | KTakahashi | November 1, 2014 20:36:56 UTC 2014 年 11 月 2 日 (日) 5 時 36 分 56 秒 (日本時間) | |||
55 | 11e7 | 5040 | 64 | Youcef Lemsafer | June 16, 2014 10:29:46 UTC 2014 年 6 月 16 日 (月) 19 時 29 分 46 秒 (日本時間) |
720 | Youcef Lemsafer | September 25, 2014 08:38:27 UTC 2014 年 9 月 25 日 (木) 17 時 38 分 27 秒 (日本時間) | |||
1440 | Youcef Lemsafer | October 14, 2014 18:32:52 UTC 2014 年 10 月 15 日 (水) 3 時 32 分 52 秒 (日本時間) | |||
656 | Youcef Lemsafer | November 15, 2014 15:23:01 UTC 2014 年 11 月 16 日 (日) 0 時 23 分 1 秒 (日本時間) | |||
2160 | Anonimo | August 16, 2016 23:40:35 UTC 2016 年 8 月 17 日 (水) 8 時 40 分 35 秒 (日本時間) | |||
60 | 26e7 | 19000 / 39986 | 700 | Youcef Lemsafer | June 23, 2016 09:43:55 UTC 2016 年 6 月 23 日 (木) 18 時 43 分 55 秒 (日本時間) |
18300 | Youcef Lemsafer | October 5, 2016 12:58:57 UTC 2016 年 10 月 5 日 (水) 21 時 58 分 57 秒 (日本時間) |
name 名前 | Warut Roonguthai |
---|---|
date 日付 | January 2, 2012 21:30:49 UTC 2012 年 1 月 3 日 (火) 6 時 30 分 49 秒 (日本時間) |
composite number 合成数 | 19607843137254901960784313725490196078431372549019607843137254901960784313725490196078431372549019607843137254901960784313725490196077254901960784313725490196078431372549019607843137254901960784313725490196078431372549019607843137254901960784313725490196078431372549<266> |
prime factors 素因数 | 1443493679346397979252458519040393<34> |
composite cofactor 合成数の残り | 13583601658812369344085895014493437180968310774088654311801660026191244036926317478263793971485844382542807293040231958540272955791119422179499456295854950622719407614282277099593871178096187653039295907852513089099742745672406312093<233> |
factorization results 素因数分解の結果 | Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2222656305 Step 1 took 14508ms Step 2 took 7878ms ********** Factor found in step 2: 1443493679346397979252458519040393 Found probable prime factor of 34 digits: 1443493679346397979252458519040393 Composite cofactor 13583601658812369344085895014493437180968310774088654311801660026191244036926317478263793971485844382542807293040231958540272955791119422179499456295854950622719407614282277099593871178096187653039295907852513089099742745672406312093 has 233 digits |
software ソフトウェア | GMP-ECM 6.3 |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | January 7, 2012 07:10:43 UTC 2012 年 1 月 7 日 (土) 16 時 10 分 43 秒 (日本時間) |
composite number 合成数 | 13583601658812369344085895014493437180968310774088654311801660026191244036926317478263793971485844382542807293040231958540272955791119422179499456295854950622719407614282277099593871178096187653039295907852513089099742745672406312093<233> |
prime factors 素因数 | 3144745665141108400988277965189100301<37> 4319459538297147892086598700392124904628560349717852407459170813657780436543493454717467836103392325425945246523228889348745944479044116474113051591179460246046532809862179695083507862194383754193<196> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2799333601 Step 1 took 35749ms ********** Factor found in step 1: 3144745665141108400988277965189100301 Found probable prime factor of 37 digits: 3144745665141108400988277965189100301 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 0 | - | - | |
35 | 1e6 | 118 / 904 | Makoto Kamada | January 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間) |
name 名前 | Youcef Lemsafer |
---|---|
date 日付 | November 28, 2016 10:00:04 UTC 2016 年 11 月 28 日 (月) 19 時 0 分 4 秒 (日本時間) |
composite number 合成数 | 3628272413950881864635794134344207502295248634729376689826293869200709831350188702484607075903966719992112919431995571707349690648858389835423628405862164478795600103491119028505089450096187043985308319984956274631364006961485918082541<235> |
prime factors 素因数 | 82812996631670416496097148025770297173583072922359<50> |
composite cofactor 合成数の残り | 43812838099416282131628685611733223808182437402818213048454826541016475601107590120975203780047436647331141374329955878577383570650232076470062462874816608756163994581356408301999991099<185> |
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 (10^269-6*10^134-1)/(3*179*57259*242927*1999906283*1845001131013) (235 digits) [Sat Nov 26 00:05:54 2016] Using MODMULN [mulredc:0, sqrredc:1] Using B1=110000000, B2=110000000-776278396540, polynomial Dickson(30), sigma=1365048754 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 933890ms ********** Factor found in step 1: 82812996631670416496097148025770297173583072922359 Found probable prime factor of 50 digits: 82812996631670416496097148025770297173583072922359 Composite cofactor ((10^269-6*10^134-1)/(3*179*57259*242927*1999906283*1845001131013))/82812996631670416496097148025770297173583072922359 has 185 digits |
name 名前 | Youcef Lemsafer |
---|---|
date 日付 | December 27, 2016 21:56:16 UTC 2016 年 12 月 28 日 (水) 6 時 56 分 16 秒 (日本時間) |
composite number 合成数 | 43812838099416282131628685611733223808182437402818213048454826541016475601107590120975203780047436647331141374329955878577383570650232076470062462874816608756163994581356408301999991099<185> |
prime factors 素因数 | 20486281991219733019762767700772375778317728236040862778760589<62> 2138642732643929059435308913664621654410929853294605159212484982125397339010972168604734493115101394702065712343353083247591<124> |
factorization results 素因数分解の結果 | GMP-ECM 7.0.4 [configured with GMP 6.1.1, --enable-asm-redc] [ECM] Tuned for x86_64/k8/params.h Input number is (10^269-6*10^134-1)/(3*179*57259*242927*1999906283*1845001131013*82812996631670416496097148025770297173583072922359) (185 digits) [Tue Dec 27 19:44:32 2016] Using MODMULN [mulredc:1, sqrredc:1] Using B1=260000000, B2=3881218362850, polynomial Dickson(30), sigma=0:7454444535099392795 dF=131072, k=20, d=1345890, d2=11, i0=183 Expected number of curves to find a factor of n digits: 35 40 45 50 55 60 65 70 75 80 23 80 325 1473 7394 40592 241451 1544236 1.1e+07 7.7e+07 Step 1 took 1126000ms Using 23 small primes for NTT Estimated memory usage: 521.61MB Initializing tables of differences for F took 313ms Computing roots of F took 14984ms Building F from its roots took 7015ms Computing 1/F took 2625ms Initializing table of differences for G took 500ms Computing roots of G took 12797ms Building G from its roots took 6890ms Computing roots of G took 12563ms Building G from its roots took 6969ms Computing G * H took 1421ms Reducing G * H mod F took 1563ms Computing roots of G took 12297ms Building G from its roots took 7172ms Computing G * H took 1453ms Reducing G * H mod F took 1625ms Computing roots of G took 12578ms Building G from its roots took 6547ms Computing G * H took 1437ms Reducing G * H mod F took 1641ms Computing roots of G took 13156ms Building G from its roots took 6391ms Computing G * H took 1594ms Reducing G * H mod F took 1546ms Computing roots of G took 13125ms Building G from its roots took 6641ms Computing G * H took 1297ms Reducing G * H mod F took 1500ms Computing roots of G took 12266ms Building G from its roots took 7000ms Computing G * H took 1453ms Reducing G * H mod F took 1531ms Computing roots of G took 12672ms Building G from its roots took 7032ms Computing G * H took 1485ms Reducing G * H mod F took 1453ms Computing roots of G took 13531ms Building G from its roots took 6765ms Computing G * H took 1500ms Reducing G * H mod F took 1547ms Computing roots of G took 12046ms Building G from its roots took 6500ms Computing G * H took 1531ms Reducing G * H mod F took 1657ms Computing roots of G took 12843ms Building G from its roots took 7360ms Computing G * H took 1532ms Reducing G * H mod F took 1515ms Computing roots of G took 12969ms Building G from its roots took 7359ms Computing G * H took 1547ms Reducing G * H mod F took 1390ms Computing roots of G took 13407ms Building G from its roots took 6843ms Computing G * H took 1500ms Reducing G * H mod F took 1484ms Computing roots of G took 13141ms Building G from its roots took 6797ms Computing G * H took 1531ms Reducing G * H mod F took 1641ms Computing roots of G took 12563ms Building G from its roots took 7218ms Computing G * H took 1546ms Reducing G * H mod F took 1579ms Computing roots of G took 11500ms Building G from its roots took 6671ms Computing G * H took 1422ms Reducing G * H mod F took 1406ms Computing roots of G took 12766ms Building G from its roots took 6390ms Computing G * H took 1515ms Reducing G * H mod F took 1516ms Computing roots of G took 12953ms Building G from its roots took 7328ms Computing G * H took 1532ms Reducing G * H mod F took 1640ms Computing roots of G took 12188ms Building G from its roots took 6765ms Computing G * H took 1562ms Reducing G * H mod F took 1516ms Computing roots of G took 12156ms Building G from its roots took 7000ms Computing G * H took 1516ms Reducing G * H mod F took 1562ms Computing polyeval(F,G) took 12359ms Computing product of all F(g_i) took 94ms Step 2 took 487922ms ********** Factor found in step 2: 20486281991219733019762767700772375778317728236040862778760589 Found prime factor of 62 digits: 20486281991219733019762767700772375778317728236040862778760589 Prime cofactor ((10^269-6*10^134-1)/(3*179*57259*242927*1999906283*1845001131013*82812996631670416496097148025770297173583072922359))/20486281991219733019762767700772375778317728236040862778760589 has 124 digits Peak memory usage: 654MB |
execution environment 実行環境 | Intel Xeon E5-1650 v3 @ 3.5GHz, Windows 10 Pro |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 118 | Makoto Kamada | January 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2440 | 1000 | Dmitry Domanov | January 10, 2012 09:15:00 UTC 2012 年 1 月 10 日 (火) 18 時 15 分 0 秒 (日本時間) |
1440 | Youcef Lemsafer | December 17, 2013 04:59:11 UTC 2013 年 12 月 17 日 (火) 13 時 59 分 11 秒 (日本時間) | |||
45 | 11e6 | 3072 | Youcef Lemsafer | June 18, 2014 19:14:28 UTC 2014 年 6 月 19 日 (木) 4 時 14 分 28 秒 (日本時間) | |
50 | 43e6 | 790 | 640 | Youcef Lemsafer | June 20, 2014 13:07:48 UTC 2014 年 6 月 20 日 (金) 22 時 7 分 48 秒 (日本時間) |
150 | KTakahashi | November 3, 2014 00:01:09 UTC 2014 年 11 月 3 日 (月) 9 時 1 分 9 秒 (日本時間) | |||
55 | 11e7 | 6847 | 64 | Youcef Lemsafer | June 20, 2014 19:34:38 UTC 2014 年 6 月 21 日 (土) 4 時 34 分 38 秒 (日本時間) |
720 | Youcef Lemsafer | September 30, 2014 10:01:58 UTC 2014 年 9 月 30 日 (火) 19 時 1 分 58 秒 (日本時間) | |||
6063 | Youcef Lemsafer | December 8, 2016 10:03:26 UTC 2016 年 12 月 8 日 (木) 19 時 3 分 26 秒 (日本時間) | |||
60 | 26e7 | 5595 / 38520 | Youcef Lemsafer | December 27, 2016 21:46:17 UTC 2016 年 12 月 28 日 (水) 6 時 46 分 17 秒 (日本時間) | |
65 | 85e7 | 248 / 67197 | Youcef Lemsafer | December 27, 2016 21:46:17 UTC 2016 年 12 月 28 日 (水) 6 時 46 分 17 秒 (日本時間) |
name 名前 | Youcef Lemsafer |
---|---|
date 日付 | September 22, 2017 20:21:54 UTC 2017 年 9 月 23 日 (土) 5 時 21 分 54 秒 (日本時間) |
composite number 合成数 | 89386598633625309564628050315430065985564286050545380994787242160677145780257923732811985085588576316230544503285072313953202572822350202905620071915268576477470548291972672799065410344896031886108742607623836948529452218022547827764066651027396262967435787<257> |
prime factors 素因数 | 5375652217547636986656185554144587437248797877669895901218949071699<67> 39313358869663888029062007245359137802472298114122238576557843034274035317861<77> 422961752604309262723919932644152228271312094912251754127017293669416781836124168757774383124281358918245915722933<114> |
factorization results 素因数分解の結果 | <Parameters were as follows:> # # 33133_135, C257, SNFS_diff=271 # N=(10^271-6*10^135-1)/(3*37291197833759) # f(X)=10*X^6-6*X^3-1 # g(X)=X-10^45 # n: 89386598633625309564628050315430065985564286050545380994787242160677145780257923732811985085588576316230544503285072313953202572822350202905620071915268576477470548291972672799065410344896031886108742607623836948529452218022547827764066651027396262967435787 Y0: -1000000000000000000000000000000000000000000000 Y1: 1 c0: -1 c3: -6 c6: 10 skew: 0.681 type: snfs lpbr: 32 lpba: 32 rlim: 240000000 alim: 240000000 mfbr: 64 mfba: 64 rlambda: 2.8 alambda: 2.8 <Sieved rational special q from 36e6 to 284e6 using gnfs-lasieve4I15e> <mostly using 12 threads on Intel Core i7-5820K and 8 threads on> <Intel Xeon E5-1650v3. Took ~49500 thread.hour.> <Linear algebra on Dual Intel Dual Xeon E5-2620 (32GB RAM)> Tue Aug 08 08:43:38 2017 Tue Aug 08 08:43:38 2017 Tue Aug 08 08:43:38 2017 Msieve v. 1.53 (SVN 983M) Tue Aug 08 08:43:38 2017 random seeds: 8ddb1a30 733171ed Tue Aug 08 08:43:38 2017 factoring 89386598633625309564628050315430065985564286050545380994787242160677145780257923732811985085588576316230544503285072313953202572822350202905620071915268576477470548291972672799065410344896031886108742607623836948529452218022547827764066651027396262967435787 (257 digits) Tue Aug 08 08:43:40 2017 no P-1/P+1/ECM available, skipping Tue Aug 08 08:43:40 2017 commencing number field sieve (257-digit input) Tue Aug 08 08:43:40 2017 R0: -1000000000000000000000000000000000000000000000 Tue Aug 08 08:43:40 2017 R1: 1 Tue Aug 08 08:43:40 2017 A0: -1 Tue Aug 08 08:43:40 2017 A1: 0 Tue Aug 08 08:43:40 2017 A2: 0 Tue Aug 08 08:43:40 2017 A3: -6 Tue Aug 08 08:43:40 2017 A4: 0 Tue Aug 08 08:43:40 2017 A5: 0 Tue Aug 08 08:43:40 2017 A6: 10 Tue Aug 08 08:43:40 2017 skew 0.68, size 2.135e-013, alpha 2.240, combined = 3.611e-014 rroots = 2 Tue Aug 08 08:43:40 2017 Tue Aug 08 08:43:40 2017 commencing relation filtering Tue Aug 08 08:43:40 2017 setting target matrix density to 120.0 Tue Aug 08 08:43:40 2017 estimated available RAM is 32739.1 MB Tue Aug 08 08:43:40 2017 commencing duplicate removal, pass 1 Tue Aug 08 09:29:36 2017 error -1 reading relation 141429291 Tue Aug 08 09:29:37 2017 error -9 reading relation 141457092 Tue Aug 08 09:29:37 2017 error -5 reading relation 141470670 Tue Aug 08 09:29:37 2017 error -15 reading relation 141484815 Tue Aug 08 09:29:38 2017 error -9 reading relation 141511224 Tue Aug 08 09:29:39 2017 error -15 reading relation 141552922 Tue Aug 08 09:29:40 2017 error -9 reading relation 141579667 Tue Aug 08 09:45:49 2017 error -9 reading relation 191227414 Tue Aug 08 09:45:50 2017 error -9 reading relation 191253676 Tue Aug 08 09:45:50 2017 error -9 reading relation 191267287 Tue Aug 08 09:45:51 2017 error -9 reading relation 191306772 Tue Aug 08 09:46:22 2017 error -15 reading relation 192901100 Tue Aug 08 09:46:23 2017 error -9 reading relation 192939256 Tue Aug 08 09:46:23 2017 error -9 reading relation 192952864 Tue Aug 08 09:46:24 2017 error -5 reading relation 192967134 Tue Aug 08 09:46:24 2017 error -9 reading relation 192993762 Tue Aug 08 09:46:35 2017 error -9 reading relation 193534315 Tue Aug 08 09:46:36 2017 error -15 reading relation 193546645 Tue Aug 08 09:46:36 2017 error -9 reading relation 193571387 Tue Aug 08 09:46:36 2017 error -15 reading relation 193584818 Tue Aug 08 09:46:37 2017 error -15 reading relation 193597786 Tue Aug 08 09:46:37 2017 error -9 reading relation 193611207 Tue Aug 08 09:47:46 2017 error -9 reading relation 197084107 Tue Aug 08 09:47:46 2017 error -15 reading relation 197124852 Tue Aug 08 09:47:47 2017 error -1 reading relation 197137296 Tue Aug 08 10:11:07 2017 error -1 reading relation 268733059 Tue Aug 08 10:11:07 2017 error -9 reading relation 268757221 Tue Aug 08 10:11:07 2017 error -5 reading relation 268769805 Tue Aug 08 10:11:08 2017 error -1 reading relation 268781805 Tue Aug 08 10:11:08 2017 error -9 reading relation 268794582 Tue Aug 08 10:11:08 2017 error -15 reading relation 268806291 Tue Aug 08 10:40:24 2017 error -15 reading relation 358250493 Tue Aug 08 10:40:24 2017 error -9 reading relation 358261766 Tue Aug 08 10:40:24 2017 error -5 reading relation 358272511 Tue Aug 08 10:40:25 2017 error -15 reading relation 358284255 Tue Aug 08 10:40:25 2017 error -9 reading relation 358307250 Tue Aug 08 10:40:25 2017 error -9 reading relation 358318328 Tue Aug 08 10:40:26 2017 error -9 reading relation 358329780 Tue Aug 08 10:45:18 2017 error -9 reading relation 373227763 Tue Aug 08 10:45:18 2017 error -15 reading relation 373239297 Tue Aug 08 10:45:18 2017 error -5 reading relation 373250027 Tue Aug 08 10:45:19 2017 error -15 reading relation 373272569 Tue Aug 08 10:45:19 2017 error -15 reading relation 373283214 Tue Aug 08 10:45:20 2017 error -9 reading relation 373295217 Tue Aug 08 10:45:20 2017 error -9 reading relation 373307153 Tue Aug 08 10:45:21 2017 error -9 reading relation 373329269 Tue Aug 08 10:54:41 2017 skipped 4381 relations with b > 2^32 Tue Aug 08 10:54:41 2017 skipped 27 relations with composite factors Tue Aug 08 10:54:41 2017 found 84872439 hash collisions in 401606094 relations Tue Aug 08 10:55:24 2017 commencing duplicate removal, pass 2 Tue Aug 08 11:08:15 2017 found 77472948 duplicates and 324133146 unique relations Tue Aug 08 11:08:15 2017 memory use: 2387.0 MB Tue Aug 08 11:08:15 2017 reading ideals above 283967488 Tue Aug 08 11:08:15 2017 commencing singleton removal, initial pass Tue Aug 08 12:27:27 2017 memory use: 6024.0 MB Tue Aug 08 12:27:28 2017 reading all ideals from disk Tue Aug 08 12:27:41 2017 memory use: 5534.4 MB Tue Aug 08 12:28:01 2017 commencing in-memory singleton removal Tue Aug 08 12:28:20 2017 begin with 324133146 relations and 295811760 unique ideals Tue Aug 08 12:32:28 2017 reduce to 174135629 relations and 126673527 ideals in 18 passes Tue Aug 08 12:32:28 2017 max relations containing the same ideal: 32 Tue Aug 08 12:32:48 2017 reading ideals above 720000 Tue Aug 08 12:32:49 2017 commencing singleton removal, initial pass Tue Aug 08 13:28:23 2017 memory use: 3012.0 MB Tue Aug 08 13:28:23 2017 reading all ideals from disk Tue Aug 08 13:28:32 2017 memory use: 7385.4 MB Tue Aug 08 13:29:08 2017 keeping 156597954 ideals with weight <= 200, target excess is 931272 Tue Aug 08 13:29:44 2017 commencing in-memory singleton removal Tue Aug 08 13:30:14 2017 begin with 174135629 relations and 156597954 unique ideals Tue Aug 08 13:36:23 2017 reduce to 174067126 relations and 156529445 ideals in 13 passes Tue Aug 08 13:36:23 2017 max relations containing the same ideal: 200 Tue Aug 08 13:38:58 2017 removing 15682104 relations and 13682104 ideals in 2000000 cliques Tue Aug 08 13:39:05 2017 commencing in-memory singleton removal Tue Aug 08 13:39:32 2017 begin with 158385022 relations and 156529445 unique ideals Tue Aug 08 13:44:15 2017 reduce to 157329708 relations and 141775954 ideals in 11 passes Tue Aug 08 13:44:15 2017 max relations containing the same ideal: 195 Tue Aug 08 13:46:32 2017 removing 11683148 relations and 9683148 ideals in 2000000 cliques Tue Aug 08 13:46:37 2017 commencing in-memory singleton removal Tue Aug 08 13:47:02 2017 begin with 145646560 relations and 141775954 unique ideals Tue Aug 08 13:50:34 2017 reduce to 144980903 relations and 131418572 ideals in 9 passes Tue Aug 08 13:50:34 2017 max relations containing the same ideal: 188 Tue Aug 08 13:52:42 2017 removing 10445381 relations and 8445381 ideals in 2000000 cliques Tue Aug 08 13:52:47 2017 commencing in-memory singleton removal Tue Aug 08 13:53:10 2017 begin with 134535522 relations and 131418572 unique ideals Tue Aug 08 13:56:03 2017 reduce to 133957051 relations and 122387154 ideals in 8 passes Tue Aug 08 13:56:03 2017 max relations containing the same ideal: 179 Tue Aug 08 13:58:01 2017 removing 9782538 relations and 7782538 ideals in 2000000 cliques Tue Aug 08 13:58:05 2017 commencing in-memory singleton removal Tue Aug 08 13:58:26 2017 begin with 124174513 relations and 122387154 unique ideals Tue Aug 08 14:01:24 2017 reduce to 123627808 relations and 114050517 ideals in 9 passes Tue Aug 08 14:01:24 2017 max relations containing the same ideal: 169 Tue Aug 08 14:03:14 2017 removing 9360428 relations and 7360428 ideals in 2000000 cliques Tue Aug 08 14:03:18 2017 commencing in-memory singleton removal Tue Aug 08 14:03:38 2017 begin with 114267380 relations and 114050517 unique ideals Tue Aug 08 14:06:22 2017 reduce to 113730477 relations and 106145740 ideals in 9 passes Tue Aug 08 14:06:22 2017 max relations containing the same ideal: 162 Tue Aug 08 14:08:04 2017 removing 9076547 relations and 7076547 ideals in 2000000 cliques Tue Aug 08 14:08:08 2017 commencing in-memory singleton removal Tue Aug 08 14:08:25 2017 begin with 104653930 relations and 106145740 unique ideals Tue Aug 08 14:10:39 2017 reduce to 104110437 relations and 98517544 ideals in 8 passes Tue Aug 08 14:10:39 2017 max relations containing the same ideal: 152 Tue Aug 08 14:12:12 2017 removing 8876723 relations and 6876723 ideals in 2000000 cliques Tue Aug 08 14:12:16 2017 commencing in-memory singleton removal Tue Aug 08 14:12:32 2017 begin with 95233714 relations and 98517544 unique ideals Tue Aug 08 14:14:32 2017 reduce to 94668087 relations and 91065950 ideals in 8 passes Tue Aug 08 14:14:32 2017 max relations containing the same ideal: 145 Tue Aug 08 14:15:57 2017 removing 8737448 relations and 6737448 ideals in 2000000 cliques Tue Aug 08 14:16:01 2017 commencing in-memory singleton removal Tue Aug 08 14:16:15 2017 begin with 85930639 relations and 91065950 unique ideals Tue Aug 08 14:18:03 2017 reduce to 85330424 relations and 83717510 ideals in 8 passes Tue Aug 08 14:18:03 2017 max relations containing the same ideal: 135 Tue Aug 08 14:19:21 2017 removing 2981153 relations and 2448515 ideals in 532638 cliques Tue Aug 08 14:19:23 2017 commencing in-memory singleton removal Tue Aug 08 14:19:37 2017 begin with 82349271 relations and 83717510 unique ideals Tue Aug 08 14:21:08 2017 reduce to 82280427 relations and 81199753 ideals in 7 passes Tue Aug 08 14:21:08 2017 max relations containing the same ideal: 132 Tue Aug 08 14:22:40 2017 relations with 0 large ideals: 11896 Tue Aug 08 14:22:40 2017 relations with 1 large ideals: 5122 Tue Aug 08 14:22:40 2017 relations with 2 large ideals: 93526 Tue Aug 08 14:22:40 2017 relations with 3 large ideals: 798135 Tue Aug 08 14:22:40 2017 relations with 4 large ideals: 3728303 Tue Aug 08 14:22:40 2017 relations with 5 large ideals: 10548529 Tue Aug 08 14:22:40 2017 relations with 6 large ideals: 18905744 Tue Aug 08 14:22:40 2017 relations with 7+ large ideals: 48189172 Tue Aug 08 14:22:40 2017 commencing 2-way merge Tue Aug 08 14:24:22 2017 reduce to 51673680 relation sets and 50593006 unique ideals Tue Aug 08 14:24:22 2017 commencing full merge Tue Aug 08 15:01:49 2017 memory use: 6576.1 MB Tue Aug 08 15:01:59 2017 found 23633428 cycles, need 23581206 Tue Aug 08 15:02:02 2017 weight of 23581206 cycles is about 2830438440 (120.03/cycle) Tue Aug 08 15:02:02 2017 distribution of cycle lengths: Tue Aug 08 15:02:02 2017 1 relations: 1403377 Tue Aug 08 15:02:02 2017 2 relations: 1721720 Tue Aug 08 15:02:02 2017 3 relations: 1879441 Tue Aug 08 15:02:02 2017 4 relations: 1848610 Tue Aug 08 15:02:02 2017 5 relations: 1819242 Tue Aug 08 15:02:02 2017 6 relations: 1736788 Tue Aug 08 15:02:02 2017 7 relations: 1641501 Tue Aug 08 15:02:02 2017 8 relations: 1543508 Tue Aug 08 15:02:02 2017 9 relations: 1431344 Tue Aug 08 15:02:02 2017 10+ relations: 8555675 Tue Aug 08 15:02:02 2017 heaviest cycle: 28 relations Tue Aug 08 15:02:16 2017 commencing cycle optimization Tue Aug 08 15:03:29 2017 start with 196185932 relations Tue Aug 08 15:18:29 2017 pruned 7739262 relations Tue Aug 08 15:18:29 2017 memory use: 5429.1 MB Tue Aug 08 15:18:29 2017 distribution of cycle lengths: Tue Aug 08 15:18:29 2017 1 relations: 1403377 Tue Aug 08 15:18:29 2017 2 relations: 1765921 Tue Aug 08 15:18:29 2017 3 relations: 1958163 Tue Aug 08 15:18:29 2017 4 relations: 1918161 Tue Aug 08 15:18:29 2017 5 relations: 1896838 Tue Aug 08 15:18:29 2017 6 relations: 1802415 Tue Aug 08 15:18:29 2017 7 relations: 1705128 Tue Aug 08 15:18:29 2017 8 relations: 1594712 Tue Aug 08 15:18:29 2017 9 relations: 1474971 Tue Aug 08 15:18:29 2017 10+ relations: 8061520 Tue Aug 08 15:18:29 2017 heaviest cycle: 28 relations Tue Aug 08 15:21:08 2017 RelProcTime: 23848 Tue Aug 08 15:21:08 2017 elapsed time 06:37:30 Tue Aug 8 15:21:35 2017 Tue Aug 8 15:21:35 2017 Tue Aug 8 15:21:35 2017 Msieve v. 1.53 (SVN 975) Tue Aug 8 15:21:35 2017 random seeds: fc80bc6c 26dfa7ec Tue Aug 8 15:21:35 2017 MPI process 0 of 2 Tue Aug 8 15:21:35 2017 factoring 89386598633625309564628050315430065985564286050545380994787242160677145780257923732811985085588576316230544503285072313953202572822350202905620071915268576477470548291972672799065410344896031886108742607623836948529452218022547827764066651027396262967435787 (257 digits) Tue Aug 8 15:21:38 2017 no P-1/P+1/ECM available, skipping Tue Aug 8 15:21:38 2017 commencing number field sieve (257-digit input) Tue Aug 8 15:21:38 2017 R0: -1000000000000000000000000000000000000000000000 Tue Aug 8 15:21:38 2017 R1: 1 Tue Aug 8 15:21:38 2017 A0: -1 Tue Aug 8 15:21:38 2017 A1: 0 Tue Aug 8 15:21:38 2017 A2: 0 Tue Aug 8 15:21:38 2017 A3: -6 Tue Aug 8 15:21:38 2017 A4: 0 Tue Aug 8 15:21:38 2017 A5: 0 Tue Aug 8 15:21:38 2017 A6: 10 Tue Aug 8 15:21:38 2017 skew 0.68, size 2.135e-13, alpha 2.240, combined = 3.611e-14 rroots = 2 Tue Aug 8 15:21:38 2017 Tue Aug 8 15:21:38 2017 commencing linear algebra Tue Aug 8 15:21:39 2017 initialized process (0,0) of 1 x 2 grid Tue Aug 8 15:21:51 2017 read 23581206 cycles Tue Aug 8 15:22:59 2017 cycles contain 81630786 unique relations Tue Aug 8 15:46:51 2017 read 81630786 relations Tue Aug 8 15:50:48 2017 using 20 quadratic characters above 4294917296 Tue Aug 8 15:58:40 2017 building initial matrix Tue Aug 8 16:22:32 2017 memory use: 10893.1 MB Tue Aug 8 16:23:25 2017 read 23581206 cycles Tue Aug 8 16:23:29 2017 matrix is 23581028 x 23581206 (11038.4 MB) with weight 3150438589 (133.60/col) Tue Aug 8 16:23:29 2017 sparse part has weight 2657831366 (112.71/col) Tue Aug 8 16:32:45 2017 filtering completed in 2 passes Tue Aug 8 16:32:52 2017 matrix is 23580597 x 23580775 (11038.3 MB) with weight 3150426141 (133.60/col) Tue Aug 8 16:32:52 2017 sparse part has weight 2657827868 (112.71/col) Tue Aug 8 16:35:37 2017 matrix starts at (0, 0) Tue Aug 8 16:35:40 2017 matrix is 23580597 x 11790377 (5519.2 MB) with weight 1575204430 (133.60/col) Tue Aug 8 16:35:40 2017 sparse part has weight 1328914084 (112.71/col) Tue Aug 8 16:35:40 2017 saving the first 48 matrix rows for later Tue Aug 8 16:35:44 2017 matrix includes 64 packed rows Tue Aug 8 16:35:51 2017 matrix is 23580549 x 11790377 (5311.4 MB) with weight 1346599263 (114.21/col) Tue Aug 8 16:35:51 2017 sparse part has weight 1274444361 (108.09/col) Tue Aug 8 16:35:51 2017 using block size 8192 and superblock size 1474560 for processor cache size 15360 kB Tue Aug 8 16:37:54 2017 commencing Lanczos iteration (6 threads) Tue Aug 8 16:37:54 2017 memory use: 4686.3 MB Tue Aug 8 16:40:06 2017 linear algebra at 0.0%, ETA 367h14m Tue Aug 8 16:40:34 2017 checkpointing every 70000 dimensions <Paused from 2017.08.18 to 2017.09.18> Mon Sep 18 09:07:51 2017 Mon Sep 18 09:07:51 2017 Mon Sep 18 09:07:51 2017 Msieve v. 1.53 (SVN 975) Mon Sep 18 09:07:51 2017 random seeds: b5c3dd3f 299fb760 Mon Sep 18 09:07:51 2017 MPI process 0 of 2 Mon Sep 18 09:07:51 2017 factoring 89386598633625309564628050315430065985564286050545380994787242160677145780257923732811985085588576316230544503285072313953202572822350202905620071915268576477470548291972672799065410344896031886108742607623836948529452218022547827764066651027396262967435787 (257 digits) Mon Sep 18 09:07:55 2017 no P-1/P+1/ECM available, skipping Mon Sep 18 09:07:55 2017 commencing number field sieve (257-digit input) Mon Sep 18 09:07:55 2017 R0: -1000000000000000000000000000000000000000000000 Mon Sep 18 09:07:55 2017 R1: 1 Mon Sep 18 09:07:55 2017 A0: -1 Mon Sep 18 09:07:55 2017 A1: 0 Mon Sep 18 09:07:55 2017 A2: 0 Mon Sep 18 09:07:55 2017 A3: -6 Mon Sep 18 09:07:55 2017 A4: 0 Mon Sep 18 09:07:55 2017 A5: 0 Mon Sep 18 09:07:55 2017 A6: 10 Mon Sep 18 09:07:55 2017 skew 0.68, size 2.135e-13, alpha 2.240, combined = 3.611e-14 rroots = 2 Mon Sep 18 09:07:55 2017 Mon Sep 18 09:07:55 2017 commencing linear algebra Mon Sep 18 09:07:55 2017 initialized process (0,0) of 1 x 2 grid Mon Sep 18 09:08:25 2017 matrix starts at (0, 0) Mon Sep 18 09:08:28 2017 matrix is 23580597 x 11790377 (5519.2 MB) with weight 1575204430 (133.60/col) Mon Sep 18 09:08:28 2017 sparse part has weight 1328914084 (112.71/col) Mon Sep 18 09:08:28 2017 saving the first 48 matrix rows for later Mon Sep 18 09:08:34 2017 matrix includes 64 packed rows Mon Sep 18 09:08:37 2017 matrix is 23580549 x 11790377 (5311.4 MB) with weight 1346599263 (114.21/col) Mon Sep 18 09:08:37 2017 sparse part has weight 1274444361 (108.09/col) Mon Sep 18 09:08:37 2017 using block size 8192 and superblock size 1474560 for processor cache size 15360 kB Mon Sep 18 09:11:35 2017 commencing Lanczos iteration (6 threads) Mon Sep 18 09:11:36 2017 memory use: 4686.3 MB Mon Sep 18 09:11:38 2017 restarting at iteration 256817 (dim = 16240034) Mon Sep 18 09:12:52 2017 linear algebra at 68.9%, ETA 99h18m Mon Sep 18 09:13:17 2017 checkpointing every 80000 dimensions Fri Sep 22 05:30:31 2017 lanczos halted after 372897 iterations (dim = 23580549) Fri Sep 22 05:31:08 2017 recovered 38 nontrivial dependencies Fri Sep 22 05:31:12 2017 BLanczosTime: 332597 Fri Sep 22 05:31:12 2017 elapsed time 92:23:21 Fri Sep 22 05:31:17 2017 Fri Sep 22 05:31:17 2017 Fri Sep 22 05:31:17 2017 Msieve v. 1.53 (SVN 983M) Fri Sep 22 05:31:17 2017 random seeds: d49c0aa8 ba0444ea Fri Sep 22 05:31:17 2017 factoring 89386598633625309564628050315430065985564286050545380994787242160677145780257923732811985085588576316230544503285072313953202572822350202905620071915268576477470548291972672799065410344896031886108742607623836948529452218022547827764066651027396262967435787 (257 digits) Fri Sep 22 05:31:19 2017 no P-1/P+1/ECM available, skipping Fri Sep 22 05:31:26 2017 commencing number field sieve (257-digit input) Fri Sep 22 05:31:26 2017 R0: -1000000000000000000000000000000000000000000000 Fri Sep 22 05:31:26 2017 R1: 1 Fri Sep 22 05:31:26 2017 A0: -1 Fri Sep 22 05:31:26 2017 A1: 0 Fri Sep 22 05:31:26 2017 A2: 0 Fri Sep 22 05:31:26 2017 A3: -6 Fri Sep 22 05:31:26 2017 A4: 0 Fri Sep 22 05:31:26 2017 A5: 0 Fri Sep 22 05:31:26 2017 A6: 10 Fri Sep 22 05:31:26 2017 skew 0.68, size 2.135e-013, alpha 2.240, combined = 3.611e-014 rroots = 2 Fri Sep 22 05:31:26 2017 Fri Sep 22 05:31:26 2017 commencing square root phase Fri Sep 22 05:31:26 2017 reading relations for dependency 1 Fri Sep 22 05:31:39 2017 read 11793167 cycles Fri Sep 22 05:32:11 2017 cycles contain 40822954 unique relations Fri Sep 22 05:49:05 2017 read 40822954 relations Fri Sep 22 05:54:23 2017 multiplying 40822954 relations Fri Sep 22 06:51:23 2017 multiply complete, coefficients have about 1209.54 million bits Fri Sep 22 06:51:42 2017 initial square root is modulo 266491 Fri Sep 22 07:54:12 2017 found factor: 422961752604309262723919932644152228271312094912251754127017293669416781836124168757774383124281358918245915722933 Fri Sep 22 07:54:12 2017 reading relations for dependency 2 Fri Sep 22 07:54:20 2017 read 11788503 cycles Fri Sep 22 07:54:51 2017 cycles contain 40807728 unique relations Fri Sep 22 08:11:44 2017 read 40807728 relations Fri Sep 22 08:17:01 2017 multiplying 40807728 relations Fri Sep 22 09:13:59 2017 multiply complete, coefficients have about 1209.09 million bits Fri Sep 22 09:14:12 2017 initial square root is modulo 265261 Fri Sep 22 10:17:19 2017 sqrtTime: 17153 Fri Sep 22 10:17:19 2017 p67 factor: 5375652217547636986656185554144587437248797877669895901218949071699 Fri Sep 22 10:17:19 2017 p77 factor: 39313358869663888029062007245359137802472298114122238576557843034274035317861 Fri Sep 22 10:17:19 2017 p114 factor: 422961752604309262723919932644152228271312094912251754127017293669416781836124168757774383124281358918245915722933 Fri Sep 22 10:17:19 2017 elapsed time 04:46:02 <Full log at https://pastebin.com/WS0bbJFG> |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 118 | Makoto Kamada | January 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 1000 | Dmitry Domanov | January 10, 2012 09:15:11 UTC 2012 年 1 月 10 日 (火) 18 時 15 分 11 秒 (日本時間) | |
45 | 11e6 | 1920 | Youcef Lemsafer | November 8, 2013 06:38:51 UTC 2013 年 11 月 8 日 (金) 15 時 38 分 51 秒 (日本時間) | |
50 | 43e6 | 640 | Youcef Lemsafer | June 24, 2014 14:19:15 UTC 2014 年 6 月 24 日 (火) 23 時 19 分 15 秒 (日本時間) | |
55 | 11e7 | 10336 | 256 | Youcef Lemsafer | June 24, 2014 14:19:15 UTC 2014 年 6 月 24 日 (火) 23 時 19 分 15 秒 (日本時間) |
720 | Youcef Lemsafer | October 5, 2014 10:14:24 UTC 2014 年 10 月 5 日 (日) 19 時 14 分 24 秒 (日本時間) | |||
720 | Youcef Lemsafer | December 22, 2016 08:53:12 UTC 2016 年 12 月 22 日 (木) 17 時 53 分 12 秒 (日本時間) | |||
8640 | Youcef Lemsafer | January 4, 2017 21:23:48 UTC 2017 年 1 月 5 日 (木) 6 時 23 分 48 秒 (日本時間) | |||
60 | 26e7 | 17280 / 36029 | Youcef Lemsafer | January 30, 2017 09:13:26 UTC 2017 年 1 月 30 日 (月) 18 時 13 分 26 秒 (日本時間) | |
65 | 85e7 | 640 / 63640 | Youcef Lemsafer | February 3, 2017 22:19:48 UTC 2017 年 2 月 4 日 (土) 7 時 19 分 48 秒 (日本時間) |
name 名前 | Warut Roonguthai |
---|---|
date 日付 | January 3, 2012 00:47:16 UTC 2012 年 1 月 3 日 (火) 9 時 47 分 16 秒 (日本時間) |
composite number 合成数 | 5982661542093483426417893313150657106557788376776630540406823365961650626202820459615783317207458019620584833846619070801091895318741019972826595726611303846640841706443573504929754690182747893078157694394667852870508199093162162877478280974793549462976168325599783073<268> |
prime factors 素因数 | 247408700319853260614278053443997361<36> |
composite cofactor 合成数の残り | 24181290045010619916202073814375412207659869686426753431566574695872788835894777013460629112511144291965866336480893576207486207643198427880329735085383151830055547763903060477058861001866371831600725299568548988191638505307600868593<233> |
factorization results 素因数分解の結果 | Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2917861356 Step 1 took 14617ms Step 2 took 7988ms ********** Factor found in step 2: 247408700319853260614278053443997361 Found probable prime factor of 36 digits: 247408700319853260614278053443997361 Composite cofactor 24181290045010619916202073814375412207659869686426753431566574695872788835894777013460629112511144291965866336480893576207486207643198427880329735085383151830055547763903060477058861001866371831600725299568548988191638505307600868593 has 233 digits |
software ソフトウェア | GMP-ECM 6.3 |
name 名前 | Serge Batalov |
---|---|
date 日付 | January 3, 2012 15:01:14 UTC 2012 年 1 月 4 日 (水) 0 時 1 分 14 秒 (日本時間) |
composite number 合成数 | 24181290045010619916202073814375412207659869686426753431566574695872788835894777013460629112511144291965866336480893576207486207643198427880329735085383151830055547763903060477058861001866371831600725299568548988191638505307600868593<233> |
prime factors 素因数 | 275912785601071631989194169493869<33> 87641063796054476674716355892514722143448436568398016930476082456336673231672200930365194253973246669711210854151209268629591345490572960679863386483058158685287132712761785343587803040685391844395797<200> |
factorization results 素因数分解の結果 | Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=49713033 Step 1 took 15213ms ********** Factor found in step 1: 275912785601071631989194169493869 Found probable prime factor of 33 digits: 275912785601071631989194169493869 Cofactor 87641063796054476674716355892514722143448436568398016930476082456336673231672200930365194253973246669711210854151209268629591345490572960679863386483058158685287132712761785343587803040685391844395797 is prime |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 0 | - | - | |
35 | 1e6 | 118 / 904 | Makoto Kamada | January 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間) |
name 名前 | Youcef Lemsafer |
---|---|
date 日付 | May 30, 2018 09:31:04 UTC 2018 年 5 月 30 日 (水) 18 時 31 分 4 秒 (日本時間) |
composite number 合成数 | 10752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043<278> |
prime factors 素因数 | 9825388657218136632064538837022993809641518477680343369714822419744915859853<76> 1094377896608053419633415033595762921128565377078372868046447366057020554523030555082003544293725067483320566697330491311066655804250077888733766779014643173206494343377365303796782096263675993982282231<202> |
factorization results 素因数分解の結果 | <62753 thread.hour of sieving using 8 threads on Intel Xeon E5-1650v3> <and 12 threads on Intel Core i7-5820K.> <Post-processing on Intel Core i7-5820K running Debian Linux.> <Full log at https://pastebin.com/Y6pjy7zD> <Partial log:> Tue Apr 10 17:59:06 2018 Msieve v. 1.54 (SVN 1017) Tue Apr 10 17:59:06 2018 random seeds: 71e68d1f f60328a5 Tue Apr 10 17:59:06 2018 factoring 10752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043 (278 digits) Tue Apr 10 17:59:08 2018 no P-1/P+1/ECM available, skipping Tue Apr 10 17:59:08 2018 commencing number field sieve (278-digit input) Tue Apr 10 17:59:08 2018 R0: -10000000000000000000000000000000000000000000000 Tue Apr 10 17:59:08 2018 R1: 1 Tue Apr 10 17:59:08 2018 A0: -1 Tue Apr 10 17:59:08 2018 A1: 0 Tue Apr 10 17:59:08 2018 A2: 0 Tue Apr 10 17:59:08 2018 A3: -60 Tue Apr 10 17:59:08 2018 A4: 0 Tue Apr 10 17:59:08 2018 A5: 0 Tue Apr 10 17:59:08 2018 A6: 1000 Tue Apr 10 17:59:08 2018 skew 0.32, size 9.510e-14, alpha 0.082, combined = 1.947e-14 rroots = 2 Tue Apr 10 17:59:08 2018 Tue Apr 10 17:59:08 2018 commencing relation filtering Tue Apr 10 17:59:08 2018 setting target matrix density to 112.0 Tue Apr 10 17:59:08 2018 estimated available RAM is 64326.0 MB Tue Apr 10 17:59:08 2018 commencing duplicate removal, pass 1 Tue Apr 10 18:22:25 2018 error -9 reading relation 175008005 Tue Apr 10 18:22:26 2018 error -5 reading relation 175036295 Tue Apr 10 18:22:26 2018 error -9 reading relation 175064902 Tue Apr 10 18:22:26 2018 error -15 reading relation 175123162 Tue Apr 10 18:22:26 2018 error -9 reading relation 175151603 Tue Apr 10 18:22:27 2018 error -9 reading relation 175180826 Tue Apr 10 18:22:27 2018 error -9 reading relation 175209655 Tue Apr 10 19:00:44 2018 error -5 reading relation 460770144 Tue Apr 10 19:14:15 2018 error -15 reading relation 560995288 Tue Apr 10 19:14:15 2018 error -9 reading relation 561016451 Tue Apr 10 19:14:15 2018 error -9 reading relation 561037878 Tue Apr 10 19:14:15 2018 error -5 reading relation 561079048 Tue Apr 10 19:14:16 2018 error -5 reading relation 561122093 Tue Apr 10 19:15:57 2018 error -15 reading relation 573667480 Tue Apr 10 19:15:57 2018 error -1 reading relation 573688489 Tue Apr 10 19:15:57 2018 error -1 reading relation 573709245 Tue Apr 10 19:15:57 2018 error -9 reading relation 573730762 Tue Apr 10 19:15:58 2018 error -9 reading relation 573752419 Tue Apr 10 19:15:58 2018 error -9 reading relation 573773310 Tue Apr 10 19:15:58 2018 error -9 reading relation 573793419 Tue Apr 10 19:15:58 2018 error -15 reading relation 573813849 Tue Apr 10 19:15:58 2018 error -9 reading relation 573833292 Tue Apr 10 19:15:58 2018 error -9 reading relation 573853600 Tue Apr 10 19:15:59 2018 error -9 reading relation 573893886 Tue Apr 10 19:16:09 2018 error -15 reading relation 575173409 Tue Apr 10 19:16:09 2018 error -5 reading relation 575194584 Tue Apr 10 19:16:09 2018 error -1 reading relation 575214685 Tue Apr 10 19:16:10 2018 error -9 reading relation 575235142 Tue Apr 10 19:16:10 2018 error -15 reading relation 575254797 Tue Apr 10 19:16:10 2018 error -15 reading relation 575319212 Tue Apr 10 19:16:10 2018 error -1 reading relation 575340398 Tue Apr 10 19:16:11 2018 error -15 reading relation 575361295 Tue Apr 10 19:34:20 2018 error -15 reading relation 709952438 Tue Apr 10 19:34:20 2018 error -9 reading relation 710010756 Tue Apr 10 19:34:21 2018 error -9 reading relation 710029358 Tue Apr 10 19:34:21 2018 error -15 reading relation 710048855 Tue Apr 10 19:34:21 2018 error -15 reading relation 710067603 Tue Apr 10 19:34:21 2018 error -15 reading relation 710086907 Tue Apr 10 19:35:05 2018 error -15 reading relation 715578581 Tue Apr 10 19:35:06 2018 error -9 reading relation 715597505 Tue Apr 10 19:35:06 2018 error -5 reading relation 715616637 Tue Apr 10 19:35:06 2018 error -1 reading relation 715655435 Tue Apr 10 19:35:06 2018 error -1 reading relation 715693392 Tue Apr 10 19:35:07 2018 error -15 reading relation 715711948 Tue Apr 10 19:47:05 2018 skipped 28773 relations with b > 2^32 Tue Apr 10 19:47:05 2018 skipped 14 relations with composite factors Tue Apr 10 19:47:05 2018 found 214507025 hash collisions in 803304742 relations Tue Apr 10 19:47:17 2018 commencing duplicate removal, pass 2 Tue Apr 10 20:02:36 2018 found 203450249 duplicates and 599854493 unique relations Tue Apr 10 20:02:36 2018 memory use: 4518.0 MB Tue Apr 10 20:02:36 2018 reading ideals above 323289088 Tue Apr 10 20:02:36 2018 commencing singleton removal, initial pass Tue Apr 10 21:08:14 2018 memory use: 11024.0 MB Tue Apr 10 21:08:15 2018 reading all ideals from disk Tue Apr 10 21:08:38 2018 memory use: 11259.3 MB Tue Apr 10 21:09:11 2018 commencing in-memory singleton removal Tue Apr 10 21:09:43 2018 begin with 599854493 relations and 581184339 unique ideals Tue Apr 10 21:15:34 2018 reduce to 296984673 relations and 236154756 ideals in 20 passes Tue Apr 10 21:15:34 2018 max relations containing the same ideal: 26 Tue Apr 10 21:15:53 2018 reading ideals above 720000 Tue Apr 10 21:15:53 2018 commencing singleton removal, initial pass Tue Apr 10 22:01:19 2018 memory use: 6024.0 MB Tue Apr 10 22:01:19 2018 reading all ideals from disk Tue Apr 10 22:01:45 2018 memory use: 12709.2 MB Tue Apr 10 22:02:33 2018 keeping 269512942 ideals with weight <= 200, target excess is 1528432 Tue Apr 10 22:03:18 2018 commencing in-memory singleton removal Tue Apr 10 22:03:51 2018 begin with 296984673 relations and 269512942 unique ideals Tue Apr 10 22:09:40 2018 reduce to 296959115 relations and 269487384 ideals in 11 passes Tue Apr 10 22:09:40 2018 max relations containing the same ideal: 200 Tue Apr 10 22:12:29 2018 removing 20508844 relations and 18508844 ideals in 2000000 cliques Tue Apr 10 22:12:36 2018 commencing in-memory singleton removal Tue Apr 10 22:13:07 2018 begin with 276450271 relations and 269487384 unique ideals Tue Apr 10 22:18:02 2018 reduce to 275208166 relations and 249723592 ideals in 10 passes Tue Apr 10 22:18:02 2018 max relations containing the same ideal: 199 Tue Apr 10 22:20:39 2018 removing 15063965 relations and 13063965 ideals in 2000000 cliques Tue Apr 10 22:20:45 2018 commencing in-memory singleton removal Tue Apr 10 22:21:14 2018 begin with 260144201 relations and 249723592 unique ideals Tue Apr 10 22:26:19 2018 reduce to 259409025 relations and 235918102 ideals in 11 passes Tue Apr 10 22:26:19 2018 max relations containing the same ideal: 193 Tue Apr 10 22:28:45 2018 removing 13341635 relations and 11341635 ideals in 2000000 cliques Tue Apr 10 22:28:51 2018 commencing in-memory singleton removal Tue Apr 10 22:29:19 2018 begin with 246067390 relations and 235918102 unique ideals Tue Apr 10 22:33:15 2018 reduce to 245448934 relations and 223952939 ideals in 9 passes Tue Apr 10 22:33:15 2018 max relations containing the same ideal: 186 Tue Apr 10 22:35:35 2018 removing 12420805 relations and 10420805 ideals in 2000000 cliques Tue Apr 10 22:35:40 2018 commencing in-memory singleton removal Tue Apr 10 22:36:06 2018 begin with 233028129 relations and 223952939 unique ideals Tue Apr 10 22:39:49 2018 reduce to 232462876 relations and 212962239 ideals in 9 passes Tue Apr 10 22:39:49 2018 max relations containing the same ideal: 183 Tue Apr 10 22:42:02 2018 removing 11825064 relations and 9825064 ideals in 2000000 cliques Tue Apr 10 22:42:07 2018 commencing in-memory singleton removal Tue Apr 10 22:42:31 2018 begin with 220637812 relations and 212962239 unique ideals Tue Apr 10 22:46:02 2018 reduce to 220097347 relations and 202592204 ideals in 9 passes Tue Apr 10 22:46:02 2018 max relations containing the same ideal: 177 Tue Apr 10 22:48:09 2018 removing 11414810 relations and 9414810 ideals in 2000000 cliques Tue Apr 10 22:48:14 2018 commencing in-memory singleton removal Tue Apr 10 22:48:36 2018 begin with 208682537 relations and 202592204 unique ideals Tue Apr 10 22:51:54 2018 reduce to 208152532 relations and 192642934 ideals in 9 passes Tue Apr 10 22:51:54 2018 max relations containing the same ideal: 168 Tue Apr 10 22:53:55 2018 removing 11121306 relations and 9121306 ideals in 2000000 cliques Tue Apr 10 22:53:59 2018 commencing in-memory singleton removal Tue Apr 10 22:54:21 2018 begin with 197031226 relations and 192642934 unique ideals Tue Apr 10 22:57:27 2018 reduce to 196501158 relations and 182986746 ideals in 9 passes Tue Apr 10 22:57:27 2018 max relations containing the same ideal: 162 Tue Apr 10 22:59:21 2018 removing 10911984 relations and 8911984 ideals in 2000000 cliques Tue Apr 10 22:59:25 2018 commencing in-memory singleton removal Tue Apr 10 22:59:46 2018 begin with 185589174 relations and 182986746 unique ideals Tue Apr 10 23:02:40 2018 reduce to 185048204 relations and 173528723 ideals in 9 passes Tue Apr 10 23:02:40 2018 max relations containing the same ideal: 159 Tue Apr 10 23:04:26 2018 removing 10761994 relations and 8761994 ideals in 2000000 cliques Tue Apr 10 23:04:30 2018 commencing in-memory singleton removal Tue Apr 10 23:04:49 2018 begin with 174286210 relations and 173528723 unique ideals Tue Apr 10 23:07:51 2018 reduce to 173728401 relations and 164203552 ideals in 10 passes Tue Apr 10 23:07:51 2018 max relations containing the same ideal: 151 Tue Apr 10 23:09:32 2018 removing 10667262 relations and 8667262 ideals in 2000000 cliques Tue Apr 10 23:09:36 2018 commencing in-memory singleton removal Tue Apr 10 23:09:53 2018 begin with 163061139 relations and 164203552 unique ideals Tue Apr 10 23:12:42 2018 reduce to 162477648 relations and 154946698 ideals in 10 passes Tue Apr 10 23:12:42 2018 max relations containing the same ideal: 145 Tue Apr 10 23:14:18 2018 removing 10617793 relations and 8617793 ideals in 2000000 cliques Tue Apr 10 23:14:22 2018 commencing in-memory singleton removal Tue Apr 10 23:14:38 2018 begin with 151859855 relations and 154946698 unique ideals Tue Apr 10 23:16:59 2018 reduce to 151241181 relations and 145703374 ideals in 9 passes Tue Apr 10 23:16:59 2018 max relations containing the same ideal: 138 Tue Apr 10 23:18:27 2018 removing 10611407 relations and 8611407 ideals in 2000000 cliques Tue Apr 10 23:18:31 2018 commencing in-memory singleton removal Tue Apr 10 23:18:46 2018 begin with 140629774 relations and 145703374 unique ideals Tue Apr 10 23:20:56 2018 reduce to 139963392 relations and 136417776 ideals in 9 passes Tue Apr 10 23:20:56 2018 max relations containing the same ideal: 128 Tue Apr 10 23:22:18 2018 removing 9655967 relations and 7883333 ideals in 1772634 cliques Tue Apr 10 23:22:22 2018 commencing in-memory singleton removal Tue Apr 10 23:22:35 2018 begin with 130307425 relations and 136417776 unique ideals Tue Apr 10 23:24:35 2018 reduce to 129717899 relations and 127938313 ideals in 9 passes Tue Apr 10 23:24:35 2018 max relations containing the same ideal: 120 Tue Apr 10 23:26:08 2018 relations with 0 large ideals: 58228 Tue Apr 10 23:26:08 2018 relations with 1 large ideals: 18054 Tue Apr 10 23:26:08 2018 relations with 2 large ideals: 258007 Tue Apr 10 23:26:08 2018 relations with 3 large ideals: 1964521 Tue Apr 10 23:26:08 2018 relations with 4 large ideals: 8239355 Tue Apr 10 23:26:08 2018 relations with 5 large ideals: 20785143 Tue Apr 10 23:26:08 2018 relations with 6 large ideals: 32872703 Tue Apr 10 23:26:08 2018 relations with 7+ large ideals: 65521888 Tue Apr 10 23:26:08 2018 commencing 2-way merge Tue Apr 10 23:27:49 2018 reduce to 76893841 relation sets and 75114255 unique ideals Tue Apr 10 23:27:49 2018 commencing full merge Tue Apr 10 23:58:32 2018 memory use: 9399.2 MB Tue Apr 10 23:58:39 2018 found 34676090 cycles, need 34670455 Tue Apr 10 23:58:48 2018 weight of 34670455 cycles is about 3883646710 (112.02/cycle) Tue Apr 10 23:58:48 2018 distribution of cycle lengths: Tue Apr 10 23:58:48 2018 1 relations: 3360678 Tue Apr 10 23:58:48 2018 2 relations: 2912609 Tue Apr 10 23:58:48 2018 3 relations: 2790433 Tue Apr 10 23:58:48 2018 4 relations: 2636239 Tue Apr 10 23:58:48 2018 5 relations: 2514028 Tue Apr 10 23:58:48 2018 6 relations: 2324830 Tue Apr 10 23:58:48 2018 7 relations: 2199272 Tue Apr 10 23:58:48 2018 8 relations: 2033323 Tue Apr 10 23:58:48 2018 9 relations: 1859918 Tue Apr 10 23:58:48 2018 10+ relations: 12039125 Tue Apr 10 23:58:48 2018 heaviest cycle: 28 relations Tue Apr 10 23:58:56 2018 commencing cycle optimization Wed Apr 11 00:00:06 2018 start with 279606333 relations Wed Apr 11 00:10:15 2018 pruned 8679319 relations Wed Apr 11 00:10:15 2018 memory use: 8151.5 MB Wed Apr 11 00:10:15 2018 distribution of cycle lengths: Wed Apr 11 00:10:15 2018 1 relations: 3360678 Wed Apr 11 00:10:15 2018 2 relations: 2974244 Wed Apr 11 00:10:15 2018 3 relations: 2886946 Wed Apr 11 00:10:15 2018 4 relations: 2711994 Wed Apr 11 00:10:15 2018 5 relations: 2594795 Wed Apr 11 00:10:15 2018 6 relations: 2389822 Wed Apr 11 00:10:15 2018 7 relations: 2258810 Wed Apr 11 00:10:15 2018 8 relations: 2076623 Wed Apr 11 00:10:15 2018 9 relations: 1898400 Wed Apr 11 00:10:15 2018 10+ relations: 11518143 Wed Apr 11 00:10:15 2018 heaviest cycle: 28 relations Wed Apr 11 00:11:34 2018 RelProcTime: 22346 Wed Apr 11 00:11:44 2018 Wed Apr 11 00:11:44 2018 commencing linear algebra Wed Apr 11 00:11:48 2018 read 34670455 cycles Wed Apr 11 00:13:01 2018 cycles contain 128124650 unique relations Wed Apr 11 00:32:50 2018 read 128124650 relations Wed Apr 11 00:37:05 2018 using 20 quadratic characters above 4294917295 Wed Apr 11 00:45:35 2018 building initial matrix Wed Apr 11 01:06:40 2018 memory use: 16797.2 MB Wed Apr 11 01:07:20 2018 read 34670455 cycles Wed Apr 11 01:07:24 2018 matrix is 34670278 x 34670455 (15510.2 MB) with weight 4525143816 (130.52/col) Wed Apr 11 01:07:24 2018 sparse part has weight 3684521337 (106.27/col) Wed Apr 11 01:16:05 2018 filtering completed in 2 passes Wed Apr 11 01:16:11 2018 matrix is 34669466 x 34669643 (15510.1 MB) with weight 4525115655 (130.52/col) Wed Apr 11 01:16:11 2018 sparse part has weight 3684513898 (106.27/col) Wed Apr 11 01:19:11 2018 matrix starts at (0, 0) Wed Apr 11 01:19:15 2018 matrix is 34669466 x 34669643 (15510.1 MB) with weight 4525115655 (130.52/col) Wed Apr 11 01:19:15 2018 sparse part has weight 3684513898 (106.27/col) Wed Apr 11 01:19:15 2018 saving the first 48 matrix rows for later Wed Apr 11 01:19:20 2018 matrix includes 64 packed rows Wed Apr 11 01:19:25 2018 matrix is 34669418 x 34669643 (14985.4 MB) with weight 3849297048 (111.03/col) Wed Apr 11 01:19:25 2018 sparse part has weight 3581631486 (103.31/col) Wed Apr 11 01:19:25 2018 using block size 8192 and superblock size 1474560 for processor cache size 15360 kB Wed Apr 11 01:22:46 2018 commencing Lanczos iteration (6 threads) Wed Apr 11 01:22:46 2018 memory use: 13091.8 MB Wed Apr 11 01:25:13 2018 linear algebra at 0.0%, ETA 890h29m Wed Apr 11 01:25:56 2018 checkpointing every 40000 dimensions Tue May 1 06:27:32 2018 lanczos halted after 305045 iterations (dim = 19289562) Tue May 1 06:27:34 2018 BLanczosTime: 1750550 Tue May 1 06:27:34 2018 elapsed time 492:28:28 Sun May 13 17:50:29 2018 Sun May 13 17:50:29 2018 Sun May 13 17:50:29 2018 Msieve v. 1.54 (SVN 1017) Sun May 13 17:50:29 2018 random seeds: d09685b1 c32b052b Sun May 13 17:50:29 2018 factoring 10752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043 (278 digits) Sun May 13 17:50:31 2018 no P-1/P+1/ECM available, skipping Sun May 13 17:50:31 2018 commencing number field sieve (278-digit input) Sun May 13 17:50:31 2018 R0: -10000000000000000000000000000000000000000000000 Sun May 13 17:50:31 2018 R1: 1 Sun May 13 17:50:31 2018 A0: -1 Sun May 13 17:50:31 2018 A1: 0 Sun May 13 17:50:31 2018 A2: 0 Sun May 13 17:50:31 2018 A3: -60 Sun May 13 17:50:31 2018 A4: 0 Sun May 13 17:50:31 2018 A5: 0 Sun May 13 17:50:31 2018 A6: 1000 Sun May 13 17:50:31 2018 skew 0.32, size 9.510e-14, alpha 0.082, combined = 1.947e-14 rroots = 2 Sun May 13 17:50:31 2018 Sun May 13 17:50:31 2018 commencing linear algebra Sun May 13 17:51:03 2018 matrix starts at (0, 0) Sun May 13 17:51:08 2018 matrix is 34669466 x 34669643 (15510.1 MB) with weight 4525115655 (130.52/col) Sun May 13 17:51:08 2018 sparse part has weight 3684513898 (106.27/col) Sun May 13 17:51:08 2018 saving the first 48 matrix rows for later Sun May 13 17:51:13 2018 matrix includes 64 packed rows Sun May 13 17:51:17 2018 matrix is 34669418 x 34669643 (14985.4 MB) with weight 3849297048 (111.03/col) Sun May 13 17:51:17 2018 sparse part has weight 3581631486 (103.31/col) Sun May 13 17:51:17 2018 using block size 8192 and superblock size 1474560 for processor cache size 15360 kB Sun May 13 17:54:44 2018 commencing Lanczos iteration (6 threads) Sun May 13 17:54:44 2018 memory use: 13091.8 MB Sun May 13 17:54:46 2018 restarting at iteration 305045 (dim = 19289562) Sun May 13 17:55:27 2018 checkpointing every 40000 dimensions Sun May 13 17:57:04 2018 linear algebra at 55.6%, ETA 387h19m Tue May 22 20:47:31 2018 Tue May 22 20:47:31 2018 Tue May 22 20:47:31 2018 Msieve v. 1.54 (SVN 1017) Tue May 22 20:47:31 2018 random seeds: f4ceddf4 45c8b05f Tue May 22 20:47:31 2018 factoring 10752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043 (278 digits) Tue May 22 20:47:32 2018 no P-1/P+1/ECM available, skipping Tue May 22 20:47:32 2018 commencing number field sieve (278-digit input) Tue May 22 20:47:32 2018 R0: -10000000000000000000000000000000000000000000000 Tue May 22 20:47:32 2018 R1: 1 Tue May 22 20:47:32 2018 A0: -1 Tue May 22 20:47:32 2018 A1: 0 Tue May 22 20:47:32 2018 A2: 0 Tue May 22 20:47:32 2018 A3: -60 Tue May 22 20:47:32 2018 A4: 0 Tue May 22 20:47:32 2018 A5: 0 Tue May 22 20:47:32 2018 A6: 1000 Tue May 22 20:47:32 2018 skew 0.32, size 9.510e-14, alpha 0.082, combined = 1.947e-14 rroots = 2 Tue May 22 20:47:32 2018 Tue May 22 20:47:32 2018 commencing linear algebra Tue May 22 20:48:04 2018 matrix starts at (0, 0) Tue May 22 20:48:09 2018 matrix is 34669466 x 34669643 (15510.1 MB) with weight 4525115655 (130.52/col) Tue May 22 20:48:09 2018 sparse part has weight 3684513898 (106.27/col) Tue May 22 20:48:09 2018 saving the first 48 matrix rows for later Tue May 22 20:48:14 2018 matrix includes 64 packed rows Tue May 22 20:48:18 2018 matrix is 34669418 x 34669643 (14985.4 MB) with weight 3849297048 (111.03/col) Tue May 22 20:48:18 2018 sparse part has weight 3581631486 (103.31/col) Tue May 22 20:48:18 2018 using block size 8192 and superblock size 1474560 for processor cache size 15360 kB Tue May 22 20:51:41 2018 commencing Lanczos iteration (6 threads) Tue May 22 20:51:41 2018 memory use: 13091.8 MB Tue May 22 20:51:44 2018 restarting at iteration 440892 (dim = 27880059) Tue May 22 20:54:02 2018 linear algebra at 80.4%, ETA 171h45m Tue May 22 20:54:43 2018 checkpointing every 40000 dimensions Tue May 29 23:29:22 2018 lanczos halted after 548262 iterations (dim = 34669416) Tue May 29 23:30:03 2018 recovered 36 nontrivial dependencies Tue May 29 23:30:05 2018 BLanczosTime: 614553 Tue May 29 23:30:05 2018 Tue May 29 23:30:05 2018 commencing square root phase Tue May 29 23:30:05 2018 reading relations for dependency 1 Tue May 29 23:30:10 2018 read 17331353 cycles Tue May 29 23:30:43 2018 cycles contain 64055624 unique relations Tue May 29 23:45:32 2018 read 64055624 relations Tue May 29 23:50:37 2018 multiplying 64055624 relations Wed May 30 00:50:50 2018 multiply complete, coefficients have about 2290.11 million bits Wed May 30 00:50:56 2018 initial square root is modulo 137117 Wed May 30 01:51:17 2018 sqrtTime: 8472 Wed May 30 01:51:17 2018 p76 factor: 9825388657218136632064538837022993809641518477680343369714822419744915859853 Wed May 30 01:51:17 2018 p202 factor: 1094377896608053419633415033595762921128565377078372868046447366057020554523030555082003544293725067483320566697330491311066655804250077888733766779014643173206494343377365303796782096263675993982282231 Wed May 30 01:51:17 2018 elapsed time 173:03:46 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 118 | Makoto Kamada | January 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 3318 | 1000 | Dmitry Domanov | January 7, 2012 20:46:53 UTC 2012 年 1 月 8 日 (日) 5 時 46 分 53 秒 (日本時間) |
1000 | Dmitry Domanov | January 10, 2012 09:15:21 UTC 2012 年 1 月 10 日 (火) 18 時 15 分 21 秒 (日本時間) | |||
1318 | Wataru Sakai | January 11, 2012 06:16:41 UTC 2012 年 1 月 11 日 (水) 15 時 16 分 41 秒 (日本時間) | |||
45 | 11e6 | 0 | - | - | |
50 | 43e6 | 1040 | 240 | Dmitry Domanov | January 22, 2012 17:42:16 UTC 2012 年 1 月 23 日 (月) 2 時 42 分 16 秒 (日本時間) |
800 | Dmitry Domanov | January 23, 2012 14:56:40 UTC 2012 年 1 月 23 日 (月) 23 時 56 分 40 秒 (日本時間) | |||
55 | 11e7 | 13400 | 10 | Dmitry Domanov | January 23, 2012 14:56:40 UTC 2012 年 1 月 23 日 (月) 23 時 56 分 40 秒 (日本時間) |
2660 | yoyo@home | September 6, 2012 03:40:25 UTC 2012 年 9 月 6 日 (木) 12 時 40 分 25 秒 (日本時間) | |||
10730 | Youcef Lemsafer | August 18, 2017 22:43:31 UTC 2017 年 8 月 19 日 (土) 7 時 43 分 31 秒 (日本時間) | |||
60 | 26e7 | 34564 | 2 | Dmitry Domanov | January 23, 2012 14:56:40 UTC 2012 年 1 月 23 日 (月) 23 時 56 分 40 秒 (日本時間) |
17280 | Youcef Lemsafer | November 2, 2017 10:57:28 UTC 2017 年 11 月 2 日 (木) 19 時 57 分 28 秒 (日本時間) | |||
17282 | Anonymous ECM | November 18, 2017 21:21:43 UTC 2017 年 11 月 19 日 (日) 6 時 21 分 43 秒 (日本時間) | |||
65 | 85e7 | 14400 / 58557 | 3600 | Youcef Lemsafer | November 2, 2017 10:57:28 UTC 2017 年 11 月 2 日 (木) 19 時 57 分 28 秒 (日本時間) |
3600 | Anonymous ECM | November 18, 2017 21:21:43 UTC 2017 年 11 月 19 日 (日) 6 時 21 分 43 秒 (日本時間) | |||
3600 | Anonymous ECM | November 18, 2017 21:21:48 UTC 2017 年 11 月 19 日 (日) 6 時 21 分 48 秒 (日本時間) | |||
3600 | Anonymous ECM | November 18, 2017 21:22:03 UTC 2017 年 11 月 19 日 (日) 6 時 22 分 3 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 | |
---|---|---|---|---|---|
35 | 1e6 | 118 | Makoto Kamada | January 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2440 | 1000 | Dmitry Domanov | January 10, 2012 09:15:30 UTC 2012 年 1 月 10 日 (火) 18 時 15 分 30 秒 (日本時間) |
1440 | Youcef Lemsafer | December 17, 2013 04:59:58 UTC 2013 年 12 月 17 日 (火) 13 時 59 分 58 秒 (日本時間) | |||
45 | 11e6 | 3072 | Youcef Lemsafer | June 27, 2014 10:32:03 UTC 2014 年 6 月 27 日 (金) 19 時 32 分 3 秒 (日本時間) | |
50 | 43e6 | 640 | Youcef Lemsafer | June 29, 2014 11:16:35 UTC 2014 年 6 月 29 日 (日) 20 時 16 分 35 秒 (日本時間) | |
55 | 11e7 | 4384 | 64 | Youcef Lemsafer | June 29, 2014 11:16:35 UTC 2014 年 6 月 29 日 (日) 20 時 16 分 35 秒 (日本時間) |
720 | Youcef Lemsafer | October 10, 2014 12:30:41 UTC 2014 年 10 月 10 日 (金) 21 時 30 分 41 秒 (日本時間) | |||
720 | Youcef Lemsafer | January 12, 2017 08:54:57 UTC 2017 年 1 月 12 日 (木) 17 時 54 分 57 秒 (日本時間) | |||
720 | Youcef Lemsafer | May 10, 2017 10:07:54 UTC 2017 年 5 月 10 日 (水) 19 時 7 分 54 秒 (日本時間) | |||
720 | Youcef Lemsafer | August 4, 2017 14:14:15 UTC 2017 年 8 月 4 日 (金) 23 時 14 分 15 秒 (日本時間) | |||
1440 | Youcef Lemsafer | April 27, 2018 07:22:34 UTC 2018 年 4 月 27 日 (金) 16 時 22 分 34 秒 (日本時間) | |||
60 | 26e7 | 6960 / 29121 | 720 | Youcef Lemsafer | May 18, 2018 08:33:28 UTC 2018 年 5 月 18 日 (金) 17 時 33 分 28 秒 (日本時間) |
2880 | Youcef Lemsafer | June 11, 2018 06:39:32 UTC 2018 年 6 月 11 日 (月) 15 時 39 分 32 秒 (日本時間) | |||
2160 | Youcef Lemsafer | June 20, 2018 16:10:45 UTC 2018 年 6 月 21 日 (木) 1 時 10 分 45 秒 (日本時間) | |||
1200 | ebina | July 1, 2022 05:42:26 UTC 2022 年 7 月 1 日 (金) 14 時 42 分 26 秒 (日本時間) | |||
65 | 85e7 | 3600 / 67049 | Youcef Lemsafer | September 3, 2018 18:13:38 UTC 2018 年 9 月 4 日 (火) 3 時 13 分 38 秒 (日本時間) |
name 名前 | ebina |
---|---|
date 日付 | December 9, 2023 15:00:40 UTC 2023 年 12 月 10 日 (日) 0 時 0 分 40 秒 (日本時間) |
composite number 合成数 | 879322680312245882826000214961445157435011465811142133354478813896705573408864872952628447731770746925331896603914507124481395680872278258649732253794425955735176785582950154405569027266682507513975085238367774477526962811053120903597882088618069107127<252> |
prime factors 素因数 | 207462147488439836172185408202186640186113962250838383403853<60> |
composite cofactor 合成数の残り | 4238472853758748079069200711478382472751276439438003772327427440892418257541139389186757186425883564917915998556440347832602382529667825126500061400206400329860784893561755107584866039733456659<193> |
factorization results 素因数分解の結果 | Y:\ALL\ECM>ecm-svn3038-skylake\ecm -primetest -one -sigma 1:960204114 26e7 GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc] [ECM] Input number is 879322680312245882826000214961445157435011465811142133354478813896705573408864872952628447731770746925331896603914507124481395680872278258649732253794425955735176785582950154405569027266682507513975085238367774477526962811053120903597882088618069107127 (252 digits) Using B1=260000000, B2=3178559884516, polynomial Dickson(30), sigma=1:960204114 Step 1 took 788500ms Step 2 took 213469ms ********** Factor found in step 2: 207462147488439836172185408202186640186113962250838383403853 Found prime factor of 60 digits: 207462147488439836172185408202186640186113962250838383403853 Composite cofactor 4238472853758748079069200711478382472751276439438003772327427440892418257541139389186757186425883564917915998556440347832602382529667825126500061400206400329860784893561755107584866039733456659 has 193 digits |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 118 | Makoto Kamada | January 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2440 | 1000 | Dmitry Domanov | January 10, 2012 09:15:42 UTC 2012 年 1 月 10 日 (火) 18 時 15 分 42 秒 (日本時間) |
1440 | Youcef Lemsafer | December 15, 2013 20:40:11 UTC 2013 年 12 月 16 日 (月) 5 時 40 分 11 秒 (日本時間) | |||
45 | 11e6 | 3072 | Youcef Lemsafer | July 2, 2014 08:52:28 UTC 2014 年 7 月 2 日 (水) 17 時 52 分 28 秒 (日本時間) | |
50 | 43e6 | 790 | 640 | Youcef Lemsafer | July 4, 2014 12:44:07 UTC 2014 年 7 月 4 日 (金) 21 時 44 分 7 秒 (日本時間) |
150 | KTakahashi | November 4, 2014 00:32:20 UTC 2014 年 11 月 4 日 (火) 9 時 32 分 20 秒 (日本時間) | |||
55 | 11e7 | 4265 | 64 | Youcef Lemsafer | July 4, 2014 12:44:07 UTC 2014 年 7 月 4 日 (金) 21 時 44 分 7 秒 (日本時間) |
720 | Youcef Lemsafer | October 16, 2014 08:25:50 UTC 2014 年 10 月 16 日 (木) 17 時 25 分 50 秒 (日本時間) | |||
720 | Youcef Lemsafer | February 7, 2017 09:05:11 UTC 2017 年 2 月 7 日 (火) 18 時 5 分 11 秒 (日本時間) | |||
720 | Youcef Lemsafer | May 31, 2017 08:06:27 UTC 2017 年 5 月 31 日 (水) 17 時 6 分 27 秒 (日本時間) | |||
601 | Youcef Lemsafer | August 16, 2017 09:59:57 UTC 2017 年 8 月 16 日 (水) 18 時 59 分 57 秒 (日本時間) | |||
1440 | Youcef Lemsafer | April 30, 2018 07:53:31 UTC 2018 年 4 月 30 日 (月) 16 時 53 分 31 秒 (日本時間) | |||
60 | 26e7 | 13417 / 38039 | 720 | Youcef Lemsafer | May 22, 2018 08:51:36 UTC 2018 年 5 月 22 日 (火) 17 時 51 分 36 秒 (日本時間) |
640 | Youcef Lemsafer | June 14, 2018 12:48:05 UTC 2018 年 6 月 14 日 (木) 21 時 48 分 5 秒 (日本時間) | |||
4800 | Youcef Lemsafer | October 24, 2018 18:19:25 UTC 2018 年 10 月 25 日 (木) 3 時 19 分 25 秒 (日本時間) | |||
1760 | Youcef Lemsafer | January 19, 2019 10:44:31 UTC 2019 年 1 月 19 日 (土) 19 時 44 分 31 秒 (日本時間) | |||
5497 | ebina | December 9, 2023 14:49:13 UTC 2023 年 12 月 9 日 (土) 23 時 49 分 13 秒 (日本時間) | |||
65 | 85e7 | 720 / 65265 | Youcef Lemsafer | February 15, 2019 18:57:02 UTC 2019 年 2 月 16 日 (土) 3 時 57 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 | |
---|---|---|---|---|---|
35 | 1e6 | 118 | Makoto Kamada | January 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2500 | 1000 | Dmitry Domanov | January 10, 2012 09:15:49 UTC 2012 年 1 月 10 日 (火) 18 時 15 分 49 秒 (日本時間) |
300 | Serge Batalov | January 9, 2014 04:37:42 UTC 2014 年 1 月 9 日 (木) 13 時 37 分 42 秒 (日本時間) | |||
1200 | Youcef Lemsafer | January 9, 2014 10:12:29 UTC 2014 年 1 月 9 日 (木) 19 時 12 分 29 秒 (日本時間) | |||
45 | 11e6 | 3796 | Youcef Lemsafer | January 9, 2014 14:50:18 UTC 2014 年 1 月 9 日 (木) 23 時 50 分 18 秒 (日本時間) | |
50 | 43e6 | 121 | Youcef Lemsafer | January 9, 2014 15:40:10 UTC 2014 年 1 月 10 日 (金) 0 時 40 分 10 秒 (日本時間) | |
55 | 11e7 | 5040 | 720 | Youcef Lemsafer | July 9, 2014 13:19:07 UTC 2014 年 7 月 9 日 (水) 22 時 19 分 7 秒 (日本時間) |
720 | Youcef Lemsafer | March 1, 2017 10:15:59 UTC 2017 年 3 月 1 日 (水) 19 時 15 分 59 秒 (日本時間) | |||
720 | Youcef Lemsafer | June 16, 2017 09:36:01 UTC 2017 年 6 月 16 日 (金) 18 時 36 分 1 秒 (日本時間) | |||
720 | Youcef Lemsafer | August 6, 2017 18:09:02 UTC 2017 年 8 月 7 日 (月) 3 時 9 分 2 秒 (日本時間) | |||
720 | Youcef Lemsafer | September 14, 2017 14:48:17 UTC 2017 年 9 月 14 日 (木) 23 時 48 分 17 秒 (日本時間) | |||
1440 | Youcef Lemsafer | May 14, 2018 09:14:29 UTC 2018 年 5 月 14 日 (月) 18 時 14 分 29 秒 (日本時間) | |||
60 | 26e7 | 7920 / 37812 | 720 | Youcef Lemsafer | May 25, 2018 16:13:07 UTC 2018 年 5 月 26 日 (土) 1 時 13 分 7 秒 (日本時間) |
640 | Youcef Lemsafer | June 18, 2018 09:26:54 UTC 2018 年 6 月 18 日 (月) 18 時 26 分 54 秒 (日本時間) | |||
2880 | Youcef Lemsafer | October 7, 2018 10:22:33 UTC 2018 年 10 月 7 日 (日) 19 時 22 分 33 秒 (日本時間) | |||
2880 | Youcef Lemsafer | November 27, 2018 19:16:35 UTC 2018 年 11 月 28 日 (水) 4 時 16 分 35 秒 (日本時間) | |||
800 | Youcef Lemsafer | January 30, 2019 06:25:58 UTC 2019 年 1 月 30 日 (水) 15 時 25 分 58 秒 (日本時間) | |||
65 | 85e7 | 720 / 66733 | Youcef Lemsafer | February 5, 2019 20:57:16 UTC 2019 年 2 月 6 日 (水) 5 時 57 分 16 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 | |
---|---|---|---|---|---|
35 | 1e6 | 118 | Makoto Kamada | January 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2440 | 1000 | Dmitry Domanov | January 10, 2012 09:15:57 UTC 2012 年 1 月 10 日 (火) 18 時 15 分 57 秒 (日本時間) |
1440 | Youcef Lemsafer | December 17, 2013 18:46:35 UTC 2013 年 12 月 18 日 (水) 3 時 46 分 35 秒 (日本時間) | |||
45 | 11e6 | 3072 | Youcef Lemsafer | July 15, 2014 16:16:10 UTC 2014 年 7 月 16 日 (水) 1 時 16 分 10 秒 (日本時間) | |
50 | 43e6 | 640 | Youcef Lemsafer | July 15, 2014 16:16:10 UTC 2014 年 7 月 16 日 (水) 1 時 16 分 10 秒 (日本時間) | |
55 | 11e7 | 5104 | 64 | Youcef Lemsafer | July 15, 2014 16:16:10 UTC 2014 年 7 月 16 日 (水) 1 時 16 分 10 秒 (日本時間) |
720 | Youcef Lemsafer | January 7, 2017 13:06:54 UTC 2017 年 1 月 7 日 (土) 22 時 6 分 54 秒 (日本時間) | |||
720 | Youcef Lemsafer | March 17, 2017 10:32:26 UTC 2017 年 3 月 17 日 (金) 19 時 32 分 26 秒 (日本時間) | |||
720 | Youcef Lemsafer | July 7, 2017 09:56:33 UTC 2017 年 7 月 7 日 (金) 18 時 56 分 33 秒 (日本時間) | |||
720 | Youcef Lemsafer | August 6, 2017 18:10:09 UTC 2017 年 8 月 7 日 (月) 3 時 10 分 9 秒 (日本時間) | |||
720 | Youcef Lemsafer | September 15, 2017 08:01:12 UTC 2017 年 9 月 15 日 (金) 17 時 1 分 12 秒 (日本時間) | |||
1440 | Youcef Lemsafer | May 14, 2018 09:15:29 UTC 2018 年 5 月 14 日 (月) 18 時 15 分 29 秒 (日本時間) | |||
60 | 26e7 | 19660 / 39962 | 160 | Youcef Lemsafer | January 6, 2017 16:53:09 UTC 2017 年 1 月 7 日 (土) 1 時 53 分 9 秒 (日本時間) |
720 | Youcef Lemsafer | May 29, 2018 07:56:35 UTC 2018 年 5 月 29 日 (火) 16 時 56 分 35 秒 (日本時間) | |||
2880 | Youcef Lemsafer | September 26, 2018 17:35:37 UTC 2018 年 9 月 27 日 (木) 2 時 35 分 37 秒 (日本時間) | |||
2880 | Youcef Lemsafer | December 9, 2018 22:50:03 UTC 2018 年 12 月 10 日 (月) 7 時 50 分 3 秒 (日本時間) | |||
1280 | Youcef Lemsafer | January 25, 2019 19:51:36 UTC 2019 年 1 月 26 日 (土) 4 時 51 分 36 秒 (日本時間) | |||
11740 | ebina | October 15, 2023 21:19:51 UTC 2023 年 10 月 16 日 (月) 6 時 19 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 | |
---|---|---|---|---|---|
35 | 1e6 | 118 | Makoto Kamada | January 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 1000 | Dmitry Domanov | January 10, 2012 09:16:05 UTC 2012 年 1 月 10 日 (火) 18 時 16 分 5 秒 (日本時間) | |
45 | 11e6 | 3437 | Youcef Lemsafer | November 8, 2013 06:43:13 UTC 2013 年 11 月 8 日 (金) 15 時 43 分 13 秒 (日本時間) | |
50 | 43e6 | 0 | - | - | |
55 | 11e7 | 5040 | 720 | Youcef Lemsafer | July 21, 2014 09:03:26 UTC 2014 年 7 月 21 日 (月) 18 時 3 分 26 秒 (日本時間) |
720 | Youcef Lemsafer | March 31, 2017 08:52:01 UTC 2017 年 3 月 31 日 (金) 17 時 52 分 1 秒 (日本時間) | |||
720 | Youcef Lemsafer | July 17, 2017 09:26:37 UTC 2017 年 7 月 17 日 (月) 18 時 26 分 37 秒 (日本時間) | |||
720 | Youcef Lemsafer | August 7, 2017 10:57:03 UTC 2017 年 8 月 7 日 (月) 19 時 57 分 3 秒 (日本時間) | |||
720 | Youcef Lemsafer | September 29, 2017 07:36:51 UTC 2017 年 9 月 29 日 (金) 16 時 36 分 51 秒 (日本時間) | |||
1440 | Youcef Lemsafer | May 14, 2018 09:16:25 UTC 2018 年 5 月 14 日 (月) 18 時 16 分 25 秒 (日本時間) | |||
60 | 26e7 | 21494 / 40057 | 720 | Youcef Lemsafer | June 4, 2018 08:52:35 UTC 2018 年 6 月 4 日 (月) 17 時 52 分 35 秒 (日本時間) |
2880 | Youcef Lemsafer | September 16, 2018 07:08:00 UTC 2018 年 9 月 16 日 (日) 16 時 8 分 0 秒 (日本時間) | |||
2880 | Youcef Lemsafer | December 18, 2018 12:12:58 UTC 2018 年 12 月 18 日 (火) 21 時 12 分 58 秒 (日本時間) | |||
1440 | Youcef Lemsafer | December 22, 2018 16:42:25 UTC 2018 年 12 月 23 日 (日) 1 時 42 分 25 秒 (日本時間) | |||
13574 | ebina | June 22, 2023 20:40:03 UTC 2023 年 6 月 23 日 (金) 5 時 40 分 3 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 | |
---|---|---|---|---|---|
35 | 1e6 | 118 | Makoto Kamada | January 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2800 | 1000 | Dmitry Domanov | January 7, 2012 20:46:13 UTC 2012 年 1 月 8 日 (日) 5 時 46 分 13 秒 (日本時間) |
1000 | Dmitry Domanov | January 10, 2012 09:16:17 UTC 2012 年 1 月 10 日 (火) 18 時 16 分 17 秒 (日本時間) | |||
800 | Dmitry Domanov | January 10, 2012 21:44:11 UTC 2012 年 1 月 11 日 (水) 6 時 44 分 11 秒 (日本時間) | |||
45 | 11e6 | 0 | - | - | |
50 | 43e6 | 1120 | 400 | Dmitry Domanov | January 12, 2012 07:09:34 UTC 2012 年 1 月 12 日 (木) 16 時 9 分 34 秒 (日本時間) |
720 | Dmitry Domanov | January 17, 2012 20:20:07 UTC 2012 年 1 月 18 日 (水) 5 時 20 分 7 秒 (日本時間) | |||
55 | 11e7 | 7675 | 2635 | yoyo@home | September 6, 2012 06:40:07 UTC 2012 年 9 月 6 日 (木) 15 時 40 分 7 秒 (日本時間) |
720 | Youcef Lemsafer | July 30, 2014 09:00:27 UTC 2014 年 7 月 30 日 (水) 18 時 0 分 27 秒 (日本時間) | |||
720 | Youcef Lemsafer | April 25, 2017 08:44:05 UTC 2017 年 4 月 25 日 (火) 17 時 44 分 5 秒 (日本時間) | |||
720 | Youcef Lemsafer | August 2, 2017 08:46:17 UTC 2017 年 8 月 2 日 (水) 17 時 46 分 17 秒 (日本時間) | |||
720 | Youcef Lemsafer | August 9, 2017 08:26:52 UTC 2017 年 8 月 9 日 (水) 17 時 26 分 52 秒 (日本時間) | |||
720 | Youcef Lemsafer | October 17, 2017 08:26:35 UTC 2017 年 10 月 17 日 (火) 17 時 26 分 35 秒 (日本時間) | |||
1440 | Youcef Lemsafer | May 14, 2018 09:17:04 UTC 2018 年 5 月 14 日 (月) 18 時 17 分 4 秒 (日本時間) | |||
60 | 26e7 | 35769 / 38982 | 720 | Youcef Lemsafer | June 7, 2018 10:46:34 UTC 2018 年 6 月 7 日 (木) 19 時 46 分 34 秒 (日本時間) |
2880 | Youcef Lemsafer | November 9, 2018 19:18:16 UTC 2018 年 11 月 10 日 (土) 4 時 18 分 16 秒 (日本時間) | |||
2880 | Youcef Lemsafer | January 4, 2019 19:40:18 UTC 2019 年 1 月 5 日 (土) 4 時 40 分 18 秒 (日本時間) | |||
1440 | Youcef Lemsafer | January 12, 2019 10:06:51 UTC 2019 年 1 月 12 日 (土) 19 時 6 分 51 秒 (日本時間) | |||
27819 | ebina | November 16, 2022 21:46:17 UTC 2022 年 11 月 17 日 (木) 6 時 46 分 17 秒 (日本時間) | |||
30 | Rytis Slatkevičius | December 15, 2023 14:18:25 UTC 2023 年 12 月 15 日 (金) 23 時 18 分 25 秒 (日本時間) |
name 名前 | Warut Roonguthai |
---|---|
date 日付 | January 3, 2012 02:37:17 UTC 2012 年 1 月 3 日 (火) 11 時 37 分 17 秒 (日本時間) |
composite number 合成数 | 1614395466163977528901778340440123108056795950535992327285444229785366879840767464944964754458732248473774770297725209798689762190960568583425918896274787687600300928889704198612086088936230336360575810807793613665119094562651808291622002012660257166712200187<259> |
prime factors 素因数 | 4355688053699847504766848938149<31> |
composite cofactor 合成数の残り | 370640745218809527128335215773116175701123033386293558552026108854671108906791542238092801856416827514809940668488329333026463151293090778880698295531388476049498558429528425984690040937191551096566461431895483563289629109983263<228> |
factorization results 素因数分解の結果 | Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=636471907 Step 1 took 14586ms Step 2 took 6115ms ********** Factor found in step 2: 4355688053699847504766848938149 Found probable prime factor of 31 digits: 4355688053699847504766848938149 Composite cofactor 370640745218809527128335215773116175701123033386293558552026108854671108906791542238092801856416827514809940668488329333026463151293090778880698295531388476049498558429528425984690040937191551096566461431895483563289629109983263 has 228 digits |
software ソフトウェア | GMP-ECM 6.3 |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | January 4, 2012 07:16:00 UTC 2012 年 1 月 4 日 (水) 16 時 16 分 0 秒 (日本時間) |
composite number 合成数 | 370640745218809527128335215773116175701123033386293558552026108854671108906791542238092801856416827514809940668488329333026463151293090778880698295531388476049498558429528425984690040937191551096566461431895483563289629109983263<228> |
prime factors 素因数 | 2366244574964192386635321353393280143<37> |
composite cofactor 合成数の残り | 156636701522883919797337607900251951863827299078799173786503306184663382182308208942416652888622423119044254291169916729277257317131233362709253656794960057049787585795076735060410643088681841<192> |
factorization results 素因数分解の結果 | Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3289650238 Step 1 took 170014ms Step 2 took 74577ms ********** Factor found in step 2: 2366244574964192386635321353393280143 Found probable prime factor of 37 digits: 2366244574964192386635321353393280143 |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | January 6, 2012 08:43:36 UTC 2012 年 1 月 6 日 (金) 17 時 43 分 36 秒 (日本時間) |
composite number 合成数 | 156636701522883919797337607900251951863827299078799173786503306184663382182308208942416652888622423119044254291169916729277257317131233362709253656794960057049787585795076735060410643088681841<192> |
prime factors 素因数 | 244309641290984090948959901339526426447951698929<48> |
composite cofactor 合成数の残り | 641140074109160342803396790280871591229309790634899017347616289064933380788046393143496371774141373230092534127220093021626422914651140278880129<144> |
factorization results 素因数分解の結果 | Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=25298809 Step 1 took 380067ms Step 2 took 73287ms ********** Factor found in step 2: 244309641290984090948959901339526426447951698929 Found probable prime factor of 48 digits: 244309641290984090948959901339526426447951698929 |
name 名前 | Youcef Lemsafer |
---|---|
date 日付 | March 1, 2013 13:08:42 UTC 2013 年 3 月 1 日 (金) 22 時 8 分 42 秒 (日本時間) |
composite number 合成数 | 641140074109160342803396790280871591229309790634899017347616289064933380788046393143496371774141373230092534127220093021626422914651140278880129<144> |
prime factors 素因数 | 1014047452500610277840149818584055326430198625661221603489862681149<67> 632258453515294925983721665747409008736331388713186725660526614221301435024021<78> |
factorization results 素因数分解の結果 | Fri Feb 01 07:38:49 2013 -> factmsieve.py (v0.76) Fri Feb 01 07:38:49 2013 -> This is client 1 of 1 Fri Feb 01 07:38:49 2013 -> Running on 8 Cores with 2 hyper-threads per Core Fri Feb 01 07:38:49 2013 -> Working with NAME = 33133_150 Fri Feb 01 07:38:49 2013 -> Running polynomial selection ... Fri Feb 01 07:38:49 2013 Fri Feb 01 07:38:49 2013 Fri Feb 01 07:38:49 2013 Msieve v. 1.50 (SVN 708) Fri Feb 01 07:38:49 2013 random seeds: c29c2f98 5fc56c78 Fri Feb 01 07:38:49 2013 factoring 641140074109160342803396790280871591229309790634899017347616289064933380788046393143496371774141373230092534127220093021626422914651140278880129 (144 digits) Fri Feb 01 07:38:50 2013 searching for 15-digit factors Fri Feb 01 07:38:51 2013 commencing number field sieve (144-digit input) Fri Feb 01 07:38:51 2013 commencing number field sieve polynomial selection Fri Feb 01 07:38:51 2013 time limit set to 91.00 CPU-hours Fri Feb 01 07:38:51 2013 expecting poly E from 1.05e-011 to 1.21e-011 Fri Feb 01 07:38:51 2013 searching leading coefficients from 1 to 5166856 Tue Feb 05 04:29:24 2013 polynomial selection complete Tue Feb 05 04:29:24 2013 R0: -13414443944637698568740240207 Tue Feb 05 04:29:24 2013 R1: 4760323507579003 Tue Feb 05 04:29:24 2013 A0: 16421414992021763789235352205414480 Tue Feb 05 04:29:24 2013 A1: 523902247220238353721688085348 Tue Feb 05 04:29:24 2013 A2: -261577590072141135659590 Tue Feb 05 04:29:24 2013 A3: -48189242180553138 Tue Feb 05 04:29:24 2013 A4: 30556409739 Tue Feb 05 04:29:24 2013 A5: 1476 Tue Feb 05 04:29:24 2013 skew 3662269.45, size 7.404e-014, alpha -6.376, combined = 1.399e-011 rroots = 3 Tue Feb 05 04:29:24 2013 elapsed time 92:50:35 Tue Feb 05 04:29:24 2013 -> Selected lattice siever: gnfs-lasieve4I14e Tue Feb 05 04:29:24 2013 -> Creating param file to detect parameter changes... Tue Feb 05 04:29:24 2013 -> Running setup ... Tue Feb 05 04:29:24 2013 -> Estimated minimum relations needed: 3.25233e+07 Tue Feb 05 04:29:24 2013 -> cleaning up before a restart Tue Feb 05 04:29:24 2013 -> Running lattice siever ... Tue Feb 05 04:29:24 2013 -> entering sieving loop Tue Feb 05 04:29:24 2013 -> making sieve job for q = 7550000 in 7550000 .. 7556250 as file 33133_150.job.T0 Tue Feb 05 04:29:24 2013 -> making sieve job for q = 7556250 in 7556250 .. 7562500 as file 33133_150.job.T1 Tue Feb 05 04:29:24 2013 -> making sieve job for q = 7562500 in 7562500 .. 7568750 as file 33133_150.job.T2 Tue Feb 05 04:29:24 2013 -> making sieve job for q = 7568750 in 7568750 .. 7575000 as file 33133_150.job.T3 Tue Feb 05 04:29:24 2013 -> making sieve job for q = 7575000 in 7575000 .. 7581250 as file 33133_150.job.T4 Tue Feb 05 04:29:24 2013 -> making sieve job for q = 7581250 in 7581250 .. 7587500 as file 33133_150.job.T5 Tue Feb 05 04:29:24 2013 -> making sieve job for q = 7587500 in 7587500 .. 7593750 as file 33133_150.job.T6 Tue Feb 05 04:29:24 2013 -> making sieve job for q = 7593750 in 7593750 .. 7600000 as file 33133_150.job.T7 Tue Feb 05 04:29:24 2013 -> making sieve job for q = 7600000 in 7600000 .. 7606250 as file 33133_150.job.T8 Tue Feb 05 04:29:24 2013 -> making sieve job for q = 7606250 in 7606250 .. 7612500 as file 33133_150.job.T9 Tue Feb 05 04:29:24 2013 -> making sieve job for q = 7612500 in 7612500 .. 7618750 as file 33133_150.job.T10 Tue Feb 05 04:29:24 2013 -> making sieve job for q = 7618750 in 7618750 .. 7625000 as file 33133_150.job.T11 Tue Feb 05 04:29:24 2013 -> making sieve job for q = 7625000 in 7625000 .. 7631250 as file 33133_150.job.T12 Tue Feb 05 04:29:24 2013 -> making sieve job for q = 7631250 in 7631250 .. 7637500 as file 33133_150.job.T13 Tue Feb 05 04:29:24 2013 -> making sieve job for q = 7637500 in 7637500 .. 7643750 as file 33133_150.job.T14 Tue Feb 05 04:29:24 2013 -> making sieve job for q = 7643750 in 7643750 .. 7650000 as file 33133_150.job.T15 Tue Feb 05 04:29:24 2013 -> Lattice sieving algebraic q from 7550000 to 7650000. Tue Feb 05 04:29:24 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T0 -v -n0 -a 33133_150.job.T0 Tue Feb 05 04:29:24 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T1 -v -n1 -a 33133_150.job.T1 Tue Feb 05 04:29:24 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T2 -v -n2 -a 33133_150.job.T2 Tue Feb 05 04:29:24 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T3 -v -n3 -a 33133_150.job.T3 Tue Feb 05 04:29:24 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T4 -v -n4 -a 33133_150.job.T4 Tue Feb 05 04:29:24 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T5 -v -n5 -a 33133_150.job.T5 Tue Feb 05 04:29:24 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T6 -v -n6 -a 33133_150.job.T6 Tue Feb 05 04:29:24 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T7 -v -n7 -a 33133_150.job.T7 Tue Feb 05 04:29:24 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T8 -v -n8 -a 33133_150.job.T8 Tue Feb 05 04:29:24 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T9 -v -n9 -a 33133_150.job.T9 Tue Feb 05 04:29:24 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T10 -v -n10 -a 33133_150.job.T10 Tue Feb 05 04:29:24 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T11 -v -n11 -a 33133_150.job.T11 Tue Feb 05 04:29:24 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T12 -v -n12 -a 33133_150.job.T12 Tue Feb 05 04:29:24 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T13 -v -n13 -a 33133_150.job.T13 Tue Feb 05 04:29:24 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T14 -v -n14 -a 33133_150.job.T14 Tue Feb 05 04:29:24 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T15 -v -n15 -a 33133_150.job.T15 Tue Feb 05 05:10:09 2013 -> Return value -1073741783. Updating job file and terminating... Tue Feb 05 05:10:09 2013 LatSieveTime: 2445.38 Sat Feb 16 11:51:17 2013 -> factmsieve.py (v0.76) Sat Feb 16 11:51:17 2013 -> This is client 1 of 1 Sat Feb 16 11:51:17 2013 -> Running on 2 Cores with 2 hyper-threads per Core Sat Feb 16 11:51:17 2013 -> Working with NAME = 33133_150 Sat Feb 16 11:51:17 2013 -> Selected lattice siever: gnfs-lasieve4I14e Sat Feb 16 11:51:17 2013 -> Creating param file to detect parameter changes... Sat Feb 16 11:51:17 2013 -> Running setup ... Sat Feb 16 11:51:17 2013 -> Estimated minimum relations needed: 3.25233e+07 Sat Feb 16 11:51:17 2013 -> cleaning up before a restart Sat Feb 16 11:51:17 2013 -> Running lattice siever ... Sat Feb 16 11:51:17 2013 -> entering sieving loop Sat Feb 16 11:51:17 2013 -> making sieve job for q = 7550000 in 7550000 .. 7575000 as file 33133_150.job.T0 Sat Feb 16 11:51:17 2013 -> making sieve job for q = 7575000 in 7575000 .. 7600000 as file 33133_150.job.T1 Sat Feb 16 11:51:17 2013 -> making sieve job for q = 7600000 in 7600000 .. 7625000 as file 33133_150.job.T2 Sat Feb 16 11:51:17 2013 -> making sieve job for q = 7625000 in 7625000 .. 7650000 as file 33133_150.job.T3 Sat Feb 16 11:51:17 2013 -> Lattice sieving algebraic q from 7550000 to 7650000. Sat Feb 16 11:51:17 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T0 -v -n0 -a 33133_150.job.T0 Sat Feb 16 11:51:17 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T1 -v -n1 -a 33133_150.job.T1 Sat Feb 16 11:51:17 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T2 -v -n2 -a 33133_150.job.T2 Sat Feb 16 11:51:17 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T3 -v -n3 -a 33133_150.job.T3 Sat Feb 16 15:13:06 2013 Found 480188 relations, 1.5% of the estimated minimum (32523338). Sat Feb 16 18:35:29 2013 Found 966752 relations, 3.0% of the estimated minimum (32523338). Sat Feb 16 22:10:36 2013 Found 1451756 relations, 4.5% of the estimated minimum (32523338). Sun Feb 17 01:31:03 2013 Found 1931869 relations, 5.9% of the estimated minimum (32523338). Sun Feb 17 04:51:46 2013 Found 2409492 relations, 7.4% of the estimated minimum (32523338). Sun Feb 17 08:14:03 2013 Found 2893945 relations, 8.9% of the estimated minimum (32523338). Sun Feb 17 11:35:36 2013 Found 3381958 relations, 10.4% of the estimated minimum (32523338). Sun Feb 17 14:52:17 2013 Found 3853256 relations, 11.8% of the estimated minimum (32523338). Sun Feb 17 18:13:30 2013 Found 4333295 relations, 13.3% of the estimated minimum (32523338). Sun Feb 17 21:34:50 2013 Found 4816753 relations, 14.8% of the estimated minimum (32523338). Mon Feb 18 01:00:33 2013 Found 5305066 relations, 16.3% of the estimated minimum (32523338). Mon Feb 18 04:25:01 2013 Found 5786745 relations, 17.8% of the estimated minimum (32523338). Mon Feb 18 07:47:44 2013 Found 6271190 relations, 19.3% of the estimated minimum (32523338). Mon Feb 18 11:10:30 2013 Found 6754371 relations, 20.8% of the estimated minimum (32523338). Mon Feb 18 14:34:01 2013 Found 7231352 relations, 22.2% of the estimated minimum (32523338). Mon Feb 18 18:08:08 2013 Found 7725404 relations, 23.8% of the estimated minimum (32523338). Mon Feb 18 21:34:20 2013 Found 8210899 relations, 25.2% of the estimated minimum (32523338). Tue Feb 19 01:00:04 2013 Found 8698812 relations, 26.7% of the estimated minimum (32523338). Tue Feb 19 04:27:48 2013 Found 9184172 relations, 28.2% of the estimated minimum (32523338). Tue Feb 19 07:52:49 2013 Found 9664405 relations, 29.7% of the estimated minimum (32523338). Tue Feb 19 11:21:58 2013 Found 10148763 relations, 31.2% of the estimated minimum (32523338). Tue Feb 19 14:49:24 2013 Found 10633941 relations, 32.7% of the estimated minimum (32523338). Tue Feb 19 18:15:10 2013 Found 11109089 relations, 34.2% of the estimated minimum (32523338). Tue Feb 19 21:40:26 2013 Found 11591859 relations, 35.6% of the estimated minimum (32523338). Wed Feb 20 01:06:25 2013 Found 12070615 relations, 37.1% of the estimated minimum (32523338). Wed Feb 20 04:34:46 2013 Found 12559477 relations, 38.6% of the estimated minimum (32523338). Wed Feb 20 07:59:20 2013 Found 13034952 relations, 40.1% of the estimated minimum (32523338). Wed Feb 20 11:30:39 2013 Found 13526652 relations, 41.6% of the estimated minimum (32523338). Wed Feb 20 14:54:23 2013 Found 13997434 relations, 43.0% of the estimated minimum (32523338). Wed Feb 20 18:22:43 2013 Found 14481391 relations, 44.5% of the estimated minimum (32523338). Wed Feb 20 21:56:11 2013 Found 14972231 relations, 46.0% of the estimated minimum (32523338). Thu Feb 21 01:26:48 2013 Found 15462507 relations, 47.5% of the estimated minimum (32523338). Thu Feb 21 04:58:59 2013 Found 15952334 relations, 49.0% of the estimated minimum (32523338). Thu Feb 21 08:30:09 2013 Found 16445246 relations, 50.6% of the estimated minimum (32523338). Thu Feb 21 12:02:53 2013 Found 16927507 relations, 52.0% of the estimated minimum (32523338). Thu Feb 21 15:37:42 2013 Found 17411555 relations, 53.5% of the estimated minimum (32523338). Thu Feb 21 19:13:21 2013 Found 17890162 relations, 55.0% of the estimated minimum (32523338). Thu Feb 21 22:38:24 2013 Found 18363768 relations, 56.5% of the estimated minimum (32523338). Fri Feb 22 02:08:14 2013 Found 18839612 relations, 57.9% of the estimated minimum (32523338). Fri Feb 22 05:38:05 2013 Found 19313475 relations, 59.4% of the estimated minimum (32523338). Fri Feb 22 09:09:15 2013 Found 19797757 relations, 60.9% of the estimated minimum (32523338). Fri Feb 22 12:46:43 2013 Found 20285444 relations, 62.4% of the estimated minimum (32523338). Fri Feb 22 16:20:54 2013 Found 20766029 relations, 63.8% of the estimated minimum (32523338). Fri Feb 22 19:53:55 2013 Found 21247930 relations, 65.3% of the estimated minimum (32523338). Fri Feb 22 23:22:16 2013 Found 21717915 relations, 66.8% of the estimated minimum (32523338). Sat Feb 23 02:55:00 2013 Found 22204776 relations, 68.3% of the estimated minimum (32523338). Sat Feb 23 06:25:43 2013 Found 22682430 relations, 69.7% of the estimated minimum (32523338). Sat Feb 23 09:53:16 2013 Found 23161477 relations, 71.2% of the estimated minimum (32523338). Sat Feb 23 13:25:30 2013 Found 23647974 relations, 72.7% of the estimated minimum (32523338). Sat Feb 23 16:57:09 2013 Found 24127054 relations, 74.2% of the estimated minimum (32523338). Sat Feb 23 20:32:37 2013 Found 24613009 relations, 75.7% of the estimated minimum (32523338). Sun Feb 24 00:11:56 2013 Found 25086565 relations, 77.1% of the estimated minimum (32523338). Sun Feb 24 03:52:55 2013 Found 25565701 relations, 78.6% of the estimated minimum (32523338). Sun Feb 24 07:27:54 2013 Found 26031881 relations, 80.0% of the estimated minimum (32523338). Sun Feb 24 11:02:56 2013 Found 26509990 relations, 81.5% of the estimated minimum (32523338). Sun Feb 24 14:42:21 2013 Found 26992834 relations, 83.0% of the estimated minimum (32523338). Sun Feb 24 18:23:08 2013 Found 27469740 relations, 84.5% of the estimated minimum (32523338). Sun Feb 24 22:00:55 2013 Found 27945531 relations, 85.9% of the estimated minimum (32523338). Mon Feb 25 01:46:03 2013 Found 28430012 relations, 87.4% of the estimated minimum (32523338). Mon Feb 25 07:10:56 2013 Found 28908696 relations, 88.9% of the estimated minimum (32523338). Mon Feb 25 10:48:20 2013 Found 29393576 relations, 90.4% of the estimated minimum (32523338). Mon Feb 25 14:24:02 2013 Found 29867174 relations, 91.8% of the estimated minimum (32523338). Mon Feb 25 18:06:11 2013 Found 30352392 relations, 93.3% of the estimated minimum (32523338). Mon Feb 25 21:33:15 2013 Found 30812506 relations, 94.7% of the estimated minimum (32523338). Tue Feb 26 01:06:27 2013 Found 31282681 relations, 96.2% of the estimated minimum (32523338). Tue Feb 26 04:39:39 2013 Found 31760487 relations, 97.7% of the estimated minimum (32523338). Tue Feb 26 08:13:50 2013 Found 32238554 relations, 99.1% of the estimated minimum (32523338). Tue Feb 26 11:48:45 2013 Found 32712565 relations, 100.6% of the estimated minimum (32523338). Tue Feb 26 15:44:29 2013 Found 33314108 relations, 102.4% of the estimated minimum (32523338). Tue Feb 26 19:32:33 2013 Found 33784877 relations, 103.9% of the estimated minimum (32523338). Tue Feb 26 23:24:52 2013 Found 34263666 relations, 105.4% of the estimated minimum (32523338). Wed Feb 27 03:12:05 2013 Found 34732843 relations, 106.8% of the estimated minimum (32523338). Wed Feb 27 07:00:41 2013 Found 35204718 relations, 108.2% of the estimated minimum (32523338). Wed Feb 27 10:58:29 2013 Found 35680060 relations, 109.7% of the estimated minimum (32523338). Wed Feb 27 15:05:34 2013 Found 36152071 relations, 111.2% of the estimated minimum (32523338). Wed Feb 27 18:56:13 2013 Found 36621392 relations, 112.6% of the estimated minimum (32523338). Wed Feb 27 22:52:20 2013 Found 37088439 relations, 114.0% of the estimated minimum (32523338). Thu Feb 28 03:00:50 2013 Found 37570497 relations, 115.5% of the estimated minimum (32523338). Thu Feb 28 07:00:59 2013 Found 38031952 relations, 116.9% of the estimated minimum (32523338). Thu Feb 28 11:02:23 2013 Found 38503070 relations, 118.4% of the estimated minimum (32523338). Thu Feb 28 15:03:17 2013 Found 38979615 relations, 119.9% of the estimated minimum (32523338). Thu Feb 28 18:59:24 2013 Found 39446695 relations, 121.3% of the estimated minimum (32523338). Thu Feb 28 18:59:25 2013 Thu Feb 28 18:59:25 2013 Thu Feb 28 18:59:25 2013 Msieve v. 1.50 (SVN 708) Thu Feb 28 18:59:25 2013 random seeds: 860a7bc0 3475cb40 Thu Feb 28 18:59:25 2013 factoring 641140074109160342803396790280871591229309790634899017347616289064933380788046393143496371774141373230092534127220093021626422914651140278880129 (144 digits) Thu Feb 28 18:59:26 2013 searching for 15-digit factors Thu Feb 28 18:59:26 2013 commencing number field sieve (144-digit input) Thu Feb 28 18:59:27 2013 R0: -13414443944637698568740240207 Thu Feb 28 18:59:27 2013 R1: 4760323507579003 Thu Feb 28 18:59:27 2013 A0: 16421414992021763789235352205414480 Thu Feb 28 18:59:27 2013 A1: 523902247220238353721688085348 Thu Feb 28 18:59:27 2013 A2: -261577590072141135659590 Thu Feb 28 18:59:27 2013 A3: -48189242180553138 Thu Feb 28 18:59:27 2013 A4: 30556409739 Thu Feb 28 18:59:27 2013 A5: 1476 Thu Feb 28 18:59:27 2013 skew 3662269.45, size 7.404e-014, alpha -6.376, combined = 1.399e-011 rroots = 3 Thu Feb 28 18:59:27 2013 Thu Feb 28 18:59:27 2013 commencing relation filtering Thu Feb 28 18:59:27 2013 estimated available RAM is 4095.6 MB Thu Feb 28 18:59:27 2013 commencing duplicate removal, pass 1 Thu Feb 28 19:03:56 2013 found 5272348 hash collisions in 39446694 relations Thu Feb 28 19:04:44 2013 added 3 free relations Thu Feb 28 19:04:44 2013 commencing duplicate removal, pass 2 Thu Feb 28 19:08:15 2013 found 3583044 duplicates and 35863653 unique relations Thu Feb 28 19:08:15 2013 memory use: 165.2 MB Thu Feb 28 19:08:15 2013 reading ideals above 15794176 Thu Feb 28 19:08:20 2013 commencing singleton removal, initial pass Thu Feb 28 19:13:31 2013 memory use: 753.0 MB Thu Feb 28 19:13:31 2013 reading all ideals from disk Thu Feb 28 19:13:32 2013 memory use: 654.6 MB Thu Feb 28 19:13:34 2013 commencing in-memory singleton removal Thu Feb 28 19:13:36 2013 begin with 35863653 relations and 38116942 unique ideals Thu Feb 28 19:13:59 2013 reduce to 12031498 relations and 9931517 ideals in 24 passes Thu Feb 28 19:13:59 2013 max relations containing the same ideal: 20 Thu Feb 28 19:14:00 2013 reading ideals above 720000 Thu Feb 28 19:14:00 2013 commencing singleton removal, initial pass Thu Feb 28 19:16:55 2013 memory use: 344.5 MB Thu Feb 28 19:16:55 2013 reading all ideals from disk Thu Feb 28 19:16:55 2013 memory use: 398.1 MB Thu Feb 28 19:16:56 2013 commencing in-memory singleton removal Thu Feb 28 19:16:58 2013 begin with 12031503 relations and 11851598 unique ideals Thu Feb 28 19:17:16 2013 reduce to 12020952 relations and 11841030 ideals in 14 passes Thu Feb 28 19:17:16 2013 max relations containing the same ideal: 176 Thu Feb 28 19:17:23 2013 removing 478001 relations and 455484 ideals in 22517 cliques Thu Feb 28 19:17:23 2013 commencing in-memory singleton removal Thu Feb 28 19:17:25 2013 begin with 11542951 relations and 11841030 unique ideals Thu Feb 28 19:17:37 2013 reduce to 11526464 relations and 11368996 ideals in 10 passes Thu Feb 28 19:17:37 2013 max relations containing the same ideal: 170 Thu Feb 28 19:17:43 2013 removing 341378 relations and 318861 ideals in 22517 cliques Thu Feb 28 19:17:44 2013 commencing in-memory singleton removal Thu Feb 28 19:17:45 2013 begin with 11185086 relations and 11368996 unique ideals Thu Feb 28 19:17:55 2013 reduce to 11176065 relations and 11041083 ideals in 8 passes Thu Feb 28 19:17:55 2013 max relations containing the same ideal: 167 Thu Feb 28 19:17:58 2013 relations with 0 large ideals: 494 Thu Feb 28 19:17:58 2013 relations with 1 large ideals: 405 Thu Feb 28 19:17:58 2013 relations with 2 large ideals: 9325 Thu Feb 28 19:17:58 2013 relations with 3 large ideals: 94074 Thu Feb 28 19:17:58 2013 relations with 4 large ideals: 504014 Thu Feb 28 19:17:58 2013 relations with 5 large ideals: 1555873 Thu Feb 28 19:17:58 2013 relations with 6 large ideals: 2874382 Thu Feb 28 19:17:58 2013 relations with 7+ large ideals: 6137498 Thu Feb 28 19:17:58 2013 commencing 2-way merge Thu Feb 28 19:18:08 2013 reduce to 6060075 relation sets and 5925105 unique ideals Thu Feb 28 19:18:08 2013 ignored 12 oversize relation sets Thu Feb 28 19:18:08 2013 commencing full merge Thu Feb 28 19:20:13 2013 memory use: 571.2 MB Thu Feb 28 19:20:14 2013 found 3146895 cycles, need 3139305 Thu Feb 28 19:20:15 2013 weight of 3139305 cycles is about 220020870 (70.09/cycle) Thu Feb 28 19:20:15 2013 distribution of cycle lengths: Thu Feb 28 19:20:15 2013 1 relations: 459154 Thu Feb 28 19:20:15 2013 2 relations: 445991 Thu Feb 28 19:20:15 2013 3 relations: 417495 Thu Feb 28 19:20:15 2013 4 relations: 344815 Thu Feb 28 19:20:15 2013 5 relations: 297988 Thu Feb 28 19:20:15 2013 6 relations: 237525 Thu Feb 28 19:20:15 2013 7 relations: 187567 Thu Feb 28 19:20:15 2013 8 relations: 149372 Thu Feb 28 19:20:15 2013 9 relations: 118718 Thu Feb 28 19:20:15 2013 10+ relations: 480680 Thu Feb 28 19:20:15 2013 heaviest cycle: 28 relations Thu Feb 28 19:20:15 2013 commencing cycle optimization Thu Feb 28 19:20:20 2013 start with 17225429 relations Thu Feb 28 19:20:54 2013 pruned 243768 relations Thu Feb 28 19:20:54 2013 memory use: 492.9 MB Thu Feb 28 19:20:54 2013 distribution of cycle lengths: Thu Feb 28 19:20:54 2013 1 relations: 459154 Thu Feb 28 19:20:54 2013 2 relations: 453671 Thu Feb 28 19:20:54 2013 3 relations: 427869 Thu Feb 28 19:20:54 2013 4 relations: 348258 Thu Feb 28 19:20:54 2013 5 relations: 300000 Thu Feb 28 19:20:54 2013 6 relations: 236330 Thu Feb 28 19:20:54 2013 7 relations: 185891 Thu Feb 28 19:20:54 2013 8 relations: 147079 Thu Feb 28 19:20:54 2013 9 relations: 116284 Thu Feb 28 19:20:54 2013 10+ relations: 464769 Thu Feb 28 19:20:54 2013 heaviest cycle: 28 relations Thu Feb 28 19:20:58 2013 RelProcTime: 1291 Thu Feb 28 19:20:58 2013 elapsed time 00:21:33 Thu Feb 28 19:20:58 2013 LatSieveTime: 14403.9 Thu Feb 28 19:20:58 2013 -> Running matrix solving step ... Thu Feb 28 19:20:58 2013 Thu Feb 28 19:20:58 2013 Thu Feb 28 19:20:58 2013 Msieve v. 1.50 (SVN 708) Thu Feb 28 19:20:58 2013 random seeds: e6424460 8d0d2232 Thu Feb 28 19:20:58 2013 factoring 641140074109160342803396790280871591229309790634899017347616289064933380788046393143496371774141373230092534127220093021626422914651140278880129 (144 digits) Thu Feb 28 19:20:59 2013 searching for 15-digit factors Thu Feb 28 19:21:00 2013 commencing number field sieve (144-digit input) Thu Feb 28 19:21:00 2013 R0: -13414443944637698568740240207 Thu Feb 28 19:21:00 2013 R1: 4760323507579003 Thu Feb 28 19:21:00 2013 A0: 16421414992021763789235352205414480 Thu Feb 28 19:21:00 2013 A1: 523902247220238353721688085348 Thu Feb 28 19:21:00 2013 A2: -261577590072141135659590 Thu Feb 28 19:21:00 2013 A3: -48189242180553138 Thu Feb 28 19:21:00 2013 A4: 30556409739 Thu Feb 28 19:21:00 2013 A5: 1476 Thu Feb 28 19:21:00 2013 skew 3662269.45, size 7.404e-014, alpha -6.376, combined = 1.399e-011 rroots = 3 Thu Feb 28 19:21:00 2013 Thu Feb 28 19:21:00 2013 commencing linear algebra Thu Feb 28 19:21:00 2013 read 3139305 cycles Thu Feb 28 19:21:07 2013 cycles contain 10942182 unique relations Thu Feb 28 19:23:59 2013 read 10942182 relations Thu Feb 28 19:24:18 2013 using 20 quadratic characters above 536869590 Thu Feb 28 19:25:07 2013 building initial matrix Thu Feb 28 19:27:25 2013 memory use: 1289.0 MB Thu Feb 28 19:27:28 2013 read 3139305 cycles Thu Feb 28 19:27:30 2013 matrix is 3139126 x 3139305 (915.0 MB) with weight 297167506 (94.66/col) Thu Feb 28 19:27:30 2013 sparse part has weight 214739425 (68.40/col) Thu Feb 28 19:28:15 2013 filtering completed in 2 passes Thu Feb 28 19:28:17 2013 matrix is 3133619 x 3133797 (914.6 MB) with weight 296944413 (94.76/col) Thu Feb 28 19:28:17 2013 sparse part has weight 214677851 (68.50/col) Thu Feb 28 19:28:32 2013 matrix starts at (0, 0) Thu Feb 28 19:28:33 2013 matrix is 3133619 x 3133797 (914.6 MB) with weight 296944413 (94.76/col) Thu Feb 28 19:28:33 2013 sparse part has weight 214677851 (68.50/col) Thu Feb 28 19:28:33 2013 saving the first 48 matrix rows for later Thu Feb 28 19:28:34 2013 matrix includes 64 packed rows Thu Feb 28 19:28:35 2013 matrix is 3133571 x 3133797 (875.8 MB) with weight 238295580 (76.04/col) Thu Feb 28 19:28:35 2013 sparse part has weight 210776095 (67.26/col) Thu Feb 28 19:28:35 2013 using block size 65536 for processor cache size 12288 kB Thu Feb 28 19:28:54 2013 commencing Lanczos iteration (4 threads) Thu Feb 28 19:28:54 2013 memory use: 803.9 MB Thu Feb 28 19:29:23 2013 linear algebra at 0.0%, ETA 15h58m Thu Feb 28 19:29:32 2013 checkpointing every 200000 dimensions Fri Mar 01 10:19:08 2013 lanczos halted after 49558 iterations (dim = 3133569) Fri Mar 01 10:19:16 2013 recovered 29 nontrivial dependencies Fri Mar 01 10:19:16 2013 BLanczosTime: 53896 Fri Mar 01 10:19:16 2013 elapsed time 14:58:18 Fri Mar 01 10:19:16 2013 -> Running square root step ... Fri Mar 01 10:19:16 2013 Fri Mar 01 10:19:16 2013 Fri Mar 01 10:19:16 2013 Msieve v. 1.50 (SVN 708) Fri Mar 01 10:19:16 2013 random seeds: cbde4e20 4604c3ce Fri Mar 01 10:19:16 2013 factoring 641140074109160342803396790280871591229309790634899017347616289064933380788046393143496371774141373230092534127220093021626422914651140278880129 (144 digits) Fri Mar 01 10:19:17 2013 searching for 15-digit factors Fri Mar 01 10:19:18 2013 commencing number field sieve (144-digit input) Fri Mar 01 10:19:18 2013 R0: -13414443944637698568740240207 Fri Mar 01 10:19:18 2013 R1: 4760323507579003 Fri Mar 01 10:19:18 2013 A0: 16421414992021763789235352205414480 Fri Mar 01 10:19:18 2013 A1: 523902247220238353721688085348 Fri Mar 01 10:19:18 2013 A2: -261577590072141135659590 Fri Mar 01 10:19:18 2013 A3: -48189242180553138 Fri Mar 01 10:19:18 2013 A4: 30556409739 Fri Mar 01 10:19:18 2013 A5: 1476 Fri Mar 01 10:19:18 2013 skew 3662269.45, size 7.404e-014, alpha -6.376, combined = 1.399e-011 rroots = 3 Fri Mar 01 10:19:18 2013 Fri Mar 01 10:19:18 2013 commencing square root phase Fri Mar 01 10:19:18 2013 reading relations for dependency 1 Fri Mar 01 10:19:20 2013 read 1565401 cycles Fri Mar 01 10:19:23 2013 cycles contain 5464870 unique relations Fri Mar 01 10:22:21 2013 read 5464870 relations Fri Mar 01 10:22:52 2013 multiplying 5464870 relations Fri Mar 01 10:37:33 2013 multiply complete, coefficients have about 253.15 million bits Fri Mar 01 10:37:38 2013 initial square root is modulo 1215514723 Fri Mar 01 10:55:17 2013 GCD is 1, no factor found Fri Mar 01 10:55:17 2013 reading relations for dependency 2 Fri Mar 01 10:55:18 2013 read 1566770 cycles Fri Mar 01 10:55:21 2013 cycles contain 5467918 unique relations Fri Mar 01 10:58:12 2013 read 5467918 relations Fri Mar 01 10:58:43 2013 multiplying 5467918 relations Fri Mar 01 11:13:41 2013 multiply complete, coefficients have about 253.28 million bits Fri Mar 01 11:13:45 2013 initial square root is modulo 1228957039 Fri Mar 01 11:31:20 2013 sqrtTime: 4322 Fri Mar 01 11:31:20 2013 prp67 factor: 1014047452500610277840149818584055326430198625661221603489862681149 Fri Mar 01 11:31:20 2013 prp78 factor: 632258453515294925983721665747409008736331388713186725660526614221301435024021 Fri Mar 01 11:31:20 2013 elapsed time 01:12:04 Fri Mar 01 11:31:20 2013 -> Computing 1.36213e+09 scale for this machine... Fri Mar 01 11:31:20 2013 -> procrels -speedtest> PIPE Fri Mar 01 11:31:25 2013 -> Factorization summary written to g144-33133_150.txt Number: 33133_150 N = 641140074109160342803396790280871591229309790634899017347616289064933380788046393143496371774141373230092534127220093021626422914651140278880129 (144 digits) Divisors found: r1=1014047452500610277840149818584055326430198625661221603489862681149 (pp67) r2=632258453515294925983721665747409008736331388713186725660526614221301435024021 (pp78) Version: Msieve v. 1.50 (SVN 708) Total time: 312.69 hours. Factorization parameters were as follows: n: 641140074109160342803396790280871591229309790634899017347616289064933380788046393143496371774141373230092534127220093021626422914651140278880129 Y0: -13414443944637698568740240207 Y1: 4760323507579003 c0: 16421414992021763789235352205414480 c1: 523902247220238353721688085348 c2: -261577590072141135659590 c3: -48189242180553138 c4: 30556409739 c5: 1476 skew: 3662269.45 type: gnfs Factor base limits: 15100000/15100000 Large primes per side: 3 Large prime bits: 29/29 Sieved algebraic special-q in [0, 0) Total raw relations: 39446695 Relations: 5467918 relations Pruned matrix : 3133571 x 3133797 Polynomial selection time: 0.00 hours. Total sieving time: 296.16 hours. Total relation processing time: 0.36 hours. Matrix solve time: 14.97 hours. time per square root: 1.20 hours. Prototype def-par.txt line would be: gnfs,143,5,67,2000,5e-06,0.28,250,20,50000,3600,15100000,15100000,29,29,58,58,2.6,2.6,100000 total time: 312.69 hours. Intel64 Family 6 Model 44 Stepping 2, GenuineIntel Windows-7-6.1.7601-SP1 processors: 2, speed: 2.79GHz |
software ソフトウェア | GGNFS (SVN430), msieve 1.50 (SVN 708) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 118 | Makoto Kamada | January 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 0 | - | - | |
45 | 11e6 | 700 | Dmitry Domanov | January 3, 2012 22:21:03 UTC 2012 年 1 月 4 日 (水) 7 時 21 分 3 秒 (日本時間) | |
50 | 43e6 | 7608 | 750 | Dmitry Domanov | January 5, 2012 10:43:15 UTC 2012 年 1 月 5 日 (木) 19 時 43 分 15 秒 (日本時間) |
330 | Dmitry Domanov | January 8, 2012 07:08:32 UTC 2012 年 1 月 8 日 (日) 16 時 8 分 32 秒 (日本時間) | |||
1952 | Youcef Lemsafer | February 13, 2013 05:13:43 UTC 2013 年 2 月 13 日 (水) 14 時 13 分 43 秒 (日本時間) | |||
4576 | Youcef Lemsafer | February 13, 2013 19:10:09 UTC 2013 年 2 月 14 日 (木) 4 時 10 分 9 秒 (日本時間) | |||
55 | 11e7 | 2048 / 15011 | Youcef Lemsafer | February 14, 2013 11:29:19 UTC 2013 年 2 月 14 日 (木) 20 時 29 分 19 秒 (日本時間) |