name 名前 | Dmitry Domanov |
---|---|
date 日付 | June 29, 2022 19:04:14 UTC 2022 年 6 月 30 日 (木) 4 時 4 分 14 秒 (日本時間) |
composite number 合成数 | 3992387753602307608887390770877162435235983607036510459650329331796678257887746224264944276027<94> |
prime factors 素因数 | 293518137609425485186794255528520362629<39> 13601843436724312450330330442117290984274996645506057663<56> |
factorization results 素因数分解の結果 | N=3992387753602307608887390770877162435235983607036510459650329331796678257887746224264944276027 ( 94 digits) SNFS difficulty: 110 digits. Divisors found: p39 factor: 293518137609425485186794255528520362629 p56 factor: 13601843436724312450330330442117290984274996645506057663 Version: Msieve v. 1.54 (SVN 1043M) Total time: 0.14 hours. Scaled time: 0.00 units (timescale=0.000). Factorization parameters were as follows: n: 3992387753602307608887390770877162435235983607036510459650329331796678257887746224264944276027 m: 1000000000000000000000000000 deg: 4 c4: 205 c0: -16 skew: 0.53 # Murphy_E = 1.298e-07 type: snfs lss: 1 rlim: 480000 alim: 480000 lpbr: 25 lpba: 25 mfbr: 44 mfba: 44 rlambda: 2.2 alambda: 2.2 Factor base limits: 480000/480000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 44/44 Sieved rational special-q in [240000, 400001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 43967 x 44196 Total sieving time: 0.13 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,110.000,4,0,0,0,0,0,0,0,0,480000,480000,25,25,44,44,2.2,2.2,20000 total time: 0.14 hours. --------- CPU info (if available) ---------- [ 0.116401] smpboot: CPU0: 11th Gen Intel(R) Core(TM) i7-1165G7 @ 2.80GHz (family: 0x6, model: 0x8c, stepping: 0x1) [ 0.071049] Memory: 15875048K/16489528K available (16393K kernel code, 3512K rwdata, 10500K rodata, 2900K init, 5728K bss, 614220K reserved, 0K cma-reserved) [ 0.133045] x86/mm: Memory block size: 128MB [ 0.112404] Calibrating delay loop (skipped), value calculated using timer frequency.. 5606.40 BogoMIPS (lpj=11212800) [ 0.129790] smpboot: Total of 8 processors activated (44851.20 BogoMIPS) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間) |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | June 29, 2022 19:14:53 UTC 2022 年 6 月 30 日 (木) 4 時 14 分 53 秒 (日本時間) |
composite number 合成数 | 1289439249452106742318870016448396096770406041669934062506548632052066456591001131561592236993527<97> |
prime factors 素因数 | 3499109177629937774121457765658944859<37> 368505006272907019647046908158509955436299209617095665724053<60> |
factorization results 素因数分解の結果 | N=1289439249452106742318870016448396096770406041669934062506548632052066456591001131561592236993527 ( 97 digits) SNFS difficulty: 111 digits. Divisors found: p37 factor: 3499109177629937774121457765658944859 p60 factor: 368505006272907019647046908158509955436299209617095665724053 Version: Msieve v. 1.54 (SVN 1043M) Total time: 0.16 hours. Scaled time: 0.00 units (timescale=0.000). Factorization parameters were as follows: n: 1289439249452106742318870016448396096770406041669934062506548632052066456591001131561592236993527 m: 1000000000000000000000000000 deg: 4 c4: 1025 c0: -8 skew: 0.30 # Murphy_E = 1.247e-07 type: snfs lss: 1 rlim: 500000 alim: 500000 lpbr: 25 lpba: 25 mfbr: 44 mfba: 44 rlambda: 2.2 alambda: 2.2 Factor base limits: 500000/500000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 44/44 Sieved rational special-q in [250000, 430001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 44348 x 44573 Total sieving time: 0.16 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,111.000,4,0,0,0,0,0,0,0,0,500000,500000,25,25,44,44,2.2,2.2,20000 total time: 0.16 hours. --------- CPU info (if available) ---------- [ 0.116401] smpboot: CPU0: 11th Gen Intel(R) Core(TM) i7-1165G7 @ 2.80GHz (family: 0x6, model: 0x8c, stepping: 0x1) [ 0.071049] Memory: 15875048K/16489528K available (16393K kernel code, 3512K rwdata, 10500K rodata, 2900K init, 5728K bss, 614220K reserved, 0K cma-reserved) [ 0.133045] x86/mm: Memory block size: 128MB [ 0.112404] Calibrating delay loop (skipped), value calculated using timer frequency.. 5606.40 BogoMIPS (lpj=11212800) [ 0.129790] smpboot: Total of 8 processors activated (44851.20 BogoMIPS) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間) |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | June 29, 2022 19:28:48 UTC 2022 年 6 月 30 日 (木) 4 時 28 分 48 秒 (日本時間) |
composite number 合成数 | 4749111759025754115461864891587154490866750534835439402871908775229982949489869682281551044422339<97> |
prime factors 素因数 | 2774708552546517684310132208797739439191674109<46> 1711571384557562745365401865564124767146781972513471<52> |
factorization results 素因数分解の結果 | N=4749111759025754115461864891587154490866750534835439402871908775229982949489869682281551044422339 ( 97 digits) SNFS difficulty: 113 digits. Divisors found: p46 factor: 2774708552546517684310132208797739439191674109 p52 factor: 1711571384557562745365401865564124767146781972513471 Version: Msieve v. 1.54 (SVN 1043M) Total time: 0.20 hours. Scaled time: 0.00 units (timescale=0.000). Factorization parameters were as follows: n: 4749111759025754115461864891587154490866750534835439402871908775229982949489869682281551044422339 m: 10000000000000000000000000000 deg: 4 c4: 41 c0: -32 skew: 0.94 # Murphy_E = 9.737e-08 type: snfs lss: 1 rlim: 550000 alim: 550000 lpbr: 25 lpba: 25 mfbr: 45 mfba: 45 rlambda: 2.2 alambda: 2.2 Factor base limits: 550000/550000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 45/45 Sieved rational special-q in [275000, 475001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 54624 x 54849 Total sieving time: 0.19 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,113.000,4,0,0,0,0,0,0,0,0,550000,550000,25,25,45,45,2.2,2.2,20000 total time: 0.20 hours. --------- CPU info (if available) ---------- [ 0.116401] smpboot: CPU0: 11th Gen Intel(R) Core(TM) i7-1165G7 @ 2.80GHz (family: 0x6, model: 0x8c, stepping: 0x1) [ 0.071049] Memory: 15875048K/16489528K available (16393K kernel code, 3512K rwdata, 10500K rodata, 2900K init, 5728K bss, 614220K reserved, 0K cma-reserved) [ 0.133045] x86/mm: Memory block size: 128MB [ 0.112404] Calibrating delay loop (skipped), value calculated using timer frequency.. 5606.40 BogoMIPS (lpj=11212800) [ 0.129790] smpboot: Total of 8 processors activated (44851.20 BogoMIPS) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間) |
name 名前 | Eric Jeancolas |
---|---|
date 日付 | June 29, 2022 14:56:10 UTC 2022 年 6 月 29 日 (水) 23 時 56 分 10 秒 (日本時間) |
composite number 合成数 | 50766536430385328831898664347659253725857466759018102197896215352896527334689<77> |
prime factors 素因数 | 38865592768652133006874464053732519191<38> 1306207697193085241939350941035286444679<40> |
factorization results 素因数分解の結果 | Wed Jun 29 16:50:31 2022 Msieve v. 1.53 (SVN 1005) Wed Jun 29 16:50:31 2022 random seeds: 0a280ca0 27955394 Wed Jun 29 16:50:31 2022 factoring 50766536430385328831898664347659253725857466759018102197896215352896527334689 (77 digits) Wed Jun 29 16:50:31 2022 searching for 15-digit factors Wed Jun 29 16:50:31 2022 commencing quadratic sieve (77-digit input) Wed Jun 29 16:50:31 2022 using multiplier of 1 Wed Jun 29 16:50:31 2022 using generic 32kb sieve core Wed Jun 29 16:50:31 2022 sieve interval: 12 blocks of size 32768 Wed Jun 29 16:50:31 2022 processing polynomials in batches of 17 Wed Jun 29 16:50:31 2022 using a sieve bound of 883979 (35118 primes) Wed Jun 29 16:50:31 2022 using large prime bound of 88397900 (26 bits) Wed Jun 29 16:50:31 2022 using trial factoring cutoff of 26 bits Wed Jun 29 16:50:31 2022 polynomial 'A' values have 10 factors Wed Jun 29 16:52:55 2022 35426 relations (18272 full + 17154 combined from 187782 partial), need 35214 Wed Jun 29 16:52:56 2022 begin with 206054 relations Wed Jun 29 16:52:56 2022 reduce to 50415 relations in 2 passes Wed Jun 29 16:52:56 2022 attempting to read 50415 relations Wed Jun 29 16:52:56 2022 recovered 50415 relations Wed Jun 29 16:52:56 2022 recovered 39363 polynomials Wed Jun 29 16:52:56 2022 attempting to build 35426 cycles Wed Jun 29 16:52:56 2022 found 35426 cycles in 1 passes Wed Jun 29 16:52:56 2022 distribution of cycle lengths: Wed Jun 29 16:52:56 2022 length 1 : 18272 Wed Jun 29 16:52:56 2022 length 2 : 17154 Wed Jun 29 16:52:56 2022 largest cycle: 2 relations Wed Jun 29 16:52:56 2022 matrix is 35118 x 35426 (5.1 MB) with weight 1051497 (29.68/col) Wed Jun 29 16:52:56 2022 sparse part has weight 1051497 (29.68/col) Wed Jun 29 16:52:56 2022 filtering completed in 3 passes Wed Jun 29 16:52:56 2022 matrix is 24802 x 24866 (3.9 MB) with weight 824178 (33.14/col) Wed Jun 29 16:52:56 2022 sparse part has weight 824178 (33.14/col) Wed Jun 29 16:52:56 2022 saving the first 48 matrix rows for later Wed Jun 29 16:52:56 2022 matrix includes 64 packed rows Wed Jun 29 16:52:56 2022 matrix is 24754 x 24866 (2.7 MB) with weight 621337 (24.99/col) Wed Jun 29 16:52:56 2022 sparse part has weight 449807 (18.09/col) Wed Jun 29 16:52:56 2022 commencing Lanczos iteration Wed Jun 29 16:52:56 2022 memory use: 2.7 MB Wed Jun 29 16:53:02 2022 lanczos halted after 393 iterations (dim = 24754) Wed Jun 29 16:53:02 2022 recovered 17 nontrivial dependencies Wed Jun 29 16:53:02 2022 p38 factor: 38865592768652133006874464053732519191 Wed Jun 29 16:53:02 2022 p40 factor: 1306207697193085241939350941035286444679 Wed Jun 29 16:53:02 2022 elapsed time 00:02:31 |
software ソフトウェア | Msieve v. 1.53 |
execution environment 実行環境 | Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間) |
name 名前 | Ignacio Santos |
---|---|
date 日付 | June 30, 2022 12:34:59 UTC 2022 年 6 月 30 日 (木) 21 時 34 分 59 秒 (日本時間) |
composite number 合成数 | 23548236277944166271327468732022028163537719445046446112973148672699414915879673440930923<89> |
prime factors 素因数 | 1736488494295918545020965916224048256234173<43> 13560836340290351104532747797746708178527879751<47> |
factorization results 素因数分解の結果 | prp43 = 1736488494295918545020965916224048256234173 prp47 = 13560836340290351104532747797746708178527879751 |
software ソフトウェア | Yafu |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間) |
name 名前 | Ignacio Santos |
---|---|
date 日付 | June 30, 2022 13:33:52 UTC 2022 年 6 月 30 日 (木) 22 時 33 分 52 秒 (日本時間) |
composite number 合成数 | 61566612515227468409793153323272352958272404811177491889932378541504736667272775875834424903359217996683323<107> |
prime factors 素因数 | 3128875967826266122718693998207710647<37> 19676910541775114037097282399909338032618749458823898707991594948612509<71> |
factorization results 素因数分解の結果 | N=61566612515227468409793153323272352958272404811177491889932378541504736667272775875834424903359217996683323 ( 107 digits) SNFS difficulty: 127 digits. Divisors found: r1=3128875967826266122718693998207710647 (pp37) r2=19676910541775114037097282399909338032618749458823898707991594948612509 (pp71) Version: Msieve v. 1.52 (SVN 927) Total time: 1.40 hours. Scaled time: 10.76 units (timescale=7.698). Factorization parameters were as follows: n: 61566612515227468409793153323272352958272404811177491889932378541504736667272775875834424903359217996683323 m: 10000000000000000000000000000000 deg: 4 c4: 1025 c0: -8 skew: 0.30 # Murphy_E = 2.2e-08 type: snfs lss: 1 rlim: 920000 alim: 920000 lpbr: 26 lpba: 26 mfbr: 46 mfba: 46 rlambda: 2.3 alambda: 2.3Factor base limits: 920000/920000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 46/46 Sieved rational special-q in [460000, 760001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 116451 x 116677 Total sieving time: 1.38 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.01 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,127.000,4,0,0,0,0,0,0,0,0,920000,920000,26,26,46,46,2.3,2.3,75000 total time: 1.40 hours. |
software ソフトウェア | GNFS, Msieve |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間) |
name 名前 | Ignacio Santos |
---|---|
date 日付 | June 30, 2022 13:39:30 UTC 2022 年 6 月 30 日 (木) 22 時 39 分 30 秒 (日本時間) |
composite number 合成数 | 643292637255579999728100816589689053912560285457696432649224784668863920529027760966953826770103005445072894423<111> |
prime factors 素因数 | 234666485381913970328466880410692430546297583<45> 2741305969655773183681243303603435770203859083423494437391590979481<67> |
factorization results 素因数分解の結果 | N=643292637255579999728100816589689053912560285457696432649224784668863920529027760966953826770103005445072894423 ( 111 digits) SNFS difficulty: 128 digits. Divisors found: r1=234666485381913970328466880410692430546297583 (pp45) r2=2741305969655773183681243303603435770203859083423494437391590979481 (pp67) Version: Msieve v. 1.52 (SVN 927) Total time: 1.59 hours. Scaled time: 12.19 units (timescale=7.675). Factorization parameters were as follows: n: 643292637255579999728100816589689053912560285457696432649224784668863920529027760966953826770103005445072894423 m: 50000000000000000000000000000000 deg: 4 c4: 41 c0: -20 skew: 0.84 # Murphy_E = 1.546e-08 type: snfs lss: 1 rlim: 970000 alim: 970000 lpbr: 26 lpba: 26 mfbr: 47 mfba: 47 rlambda: 2.3 alambda: 2.3Factor base limits: 970000/970000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 47/47 Sieved rational special-q in [485000, 860001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 150292 x 150527 Total sieving time: 1.57 hours. Total relation processing time: 0.01 hours. Matrix solve time: 0.01 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,128.000,4,0,0,0,0,0,0,0,0,970000,970000,26,26,47,47,2.3,2.3,75000 total time: 1.59 hours. |
software ソフトウェア | GNFS, Msieve |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間) |
name 名前 | Bob Backstrom |
---|---|
date 日付 | June 30, 2022 00:07:33 UTC 2022 年 6 月 30 日 (木) 9 時 7 分 33 秒 (日本時間) |
composite number 合成数 | 36502849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849<128> |
prime factors 素因数 | 2203910994328309015389113428327227859<37> 16562760064625050552318116872366164375972834828797269576577236750955062713710004246444959611<92> |
factorization results 素因数分解の結果 | GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 36502849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849 (128 digits) Using B1=17270000, B2=58559766730, polynomial Dickson(12), sigma=1:2568585069 Step 1 took 26416ms Step 2 took 12689ms ********** Factor found in step 2: 2203910994328309015389113428327227859 Found prime factor of 37 digits: 2203910994328309015389113428327227859 Prime cofactor 16562760064625050552318116872366164375972834828797269576577236750955062713710004246444959611 has 92 digits |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間) |
name 名前 | Eric Jeancolas |
---|---|
date 日付 | July 4, 2022 13:36:10 UTC 2022 年 7 月 4 日 (月) 22 時 36 分 10 秒 (日本時間) |
composite number 合成数 | 66411094659028162557149580027483893944591763094160014392342686607085254536927253983164152607433755735873863667507884996063<122> |
prime factors 素因数 | 30290457676902197315528192711508258108796317315637<50> 2192475774628837496569454211642933920948193974737440251447706642298604099<73> |
factorization results 素因数分解の結果 | 66411094659028162557149580027483893944591763094160014392342686607085254536927253983164152607433755735873863667507884996063=30290457676902197315528192711508258108796317315637*2192475774628837496569454211642933920948193974737440251447706642298604099 cado polynomial n: 66411094659028162557149580027483893944591763094160014392342686607085254536927253983164152607433755735873863667507884996063 skew: 0.94 type: snfs c0: -32 c4: 41 Y0: 10000000000000000000000000000000000 Y1: -1 # f(x) = 41*x^4-32 # g(x) = -x+10000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 1380000 tasks.lim1 = 1380000 tasks.lpb0 = 26 tasks.lpb1 = 26 tasks.sieve.mfb0 = 48 tasks.sieve.mfb1 = 48 tasks.sieve.lambda0 = 2.3 tasks.sieve.lambda1 = 2.3 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 2192475774628837496569454211642933920948193974737440251447706642298604099 30290457676902197315528192711508258108796317315637 Info:Square Root: Total cpu/real time for sqrt: 18.4/5.94472 Info:Quadratic Characters: Total cpu/real time for characters: 4.05/1.57866 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 48.11/48.5973 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 37.2s Info:Square Root: Total cpu/real time for sqrt: 18.4/5.94472 Info:Linear Algebra: Total cpu/real time for bwc: 250.26/66.71 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 145.98, WCT time 37.96, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4032 iterations) Info:Linear Algebra: Lingen CPU time 15.75, WCT time 4.06 Info:Linear Algebra: Mksol: CPU time 80.7, WCT time 21.36, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (2048 iterations) Info:Filtering - Singleton removal: Total cpu/real time for purge: 46.35/40.8656 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 6129483 Info:Lattice Sieving: Average J: 1895.36 for 66725 special-q, max bucket fill -bkmult 1.0,1s:1.359950 Info:Lattice Sieving: Total time: 6392.79s Info:Generate Free Relations: Total cpu/real time for freerel: 35.87/11.2362 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.58/23.0682 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 23.0s Info:Filtering - Merging: Merged matrix has 128387 rows and total weight 21871072 (170.4 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 26/7.30466 Info:Filtering - Merging: Total cpu/real time for replay: 3.96/3.28453 Info:Generate Factor Base: Total cpu/real time for makefb: 0.7/0.39628 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 11936/3517.26 Info:root: Cleaning up computation data in /tmp/cado.t3my54jx 2192475774628837496569454211642933920948193974737440251447706642298604099 30290457676902197315528192711508258108796317315637 |
software ソフトウェア | cado-nfs-3.0.0 |
execution environment 実行環境 | Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間) |
name 名前 | Bob Backstrom |
---|---|
date 日付 | June 30, 2022 08:05:00 UTC 2022 年 6 月 30 日 (木) 17 時 5 分 0 秒 (日本時間) |
composite number 合成数 | 8708938227376193471207921389064617213160928244449804164593939587238984794986657036646266847790872371049382445611013<115> |
prime factors 素因数 | 7665398756803376360153313166076818499<37> 1136136358157053503604303135988050507606540468243982264226350809880311327998487<79> |
factorization results 素因数分解の結果 | GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 8708938227376193471207921389064617213160928244449804164593939587238984794986657036646266847790872371049382445611013 (115 digits) Using B1=18290000, B2=58560741340, polynomial Dickson(12), sigma=1:4071460562 Step 1 took 23258ms Step 2 took 10772ms ********** Factor found in step 2: 7665398756803376360153313166076818499 Found prime factor of 37 digits: 7665398756803376360153313166076818499 Prime cofactor 1136136358157053503604303135988050507606540468243982264226350809880311327998487 has 79 digits |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間) |
name 名前 | Eric Jeancolas |
---|---|
date 日付 | July 5, 2022 03:14:36 UTC 2022 年 7 月 5 日 (火) 12 時 14 分 36 秒 (日本時間) |
composite number 合成数 | 12697609528853412109642526810864854972947828050108875569360652061628590860530288763441884987322109113781203274579<113> |
prime factors 素因数 | 376619874993567449624668231776178419594615508306453747<54> 33714656001811596726702650649031816230797510263106346113057<59> |
factorization results 素因数分解の結果 | 12697609528853412109642526810864854972947828050108875569360652061628590860530288763441884987322109113781203274579=376619874993567449624668231776178419594615508306453747*33714656001811596726702650649031816230797510263106346113057 cado polynomial n: 12697609528853412109642526810864854972947828050108875569360652061628590860530288763441884987322109113781203274579 skew: 0.30 type: snfs c0: -8 c4: 1025 Y0: 100000000000000000000000000000000000 Y1: -1 # f(x) = 1025*x^4-8 # g(x) = -x+100000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 1690000 tasks.lim1 = 1690000 tasks.lpb0 = 26 tasks.lpb1 = 26 tasks.sieve.mfb0 = 48 tasks.sieve.mfb1 = 48 tasks.sieve.lambda0 = 2.3 tasks.sieve.lambda1 = 2.3 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 376619874993567449624668231776178419594615508306453747 33714656001811596726702650649031816230797510263106346113057 Info:Square Root: Total cpu/real time for sqrt: 27.63/12.0571 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 6066650 Info:Lattice Sieving: Average J: 1895 for 117165 special-q, max bucket fill -bkmult 1.0,1s:1.329770 Info:Lattice Sieving: Total time: 20254.8s Info:Generate Free Relations: Total cpu/real time for freerel: 36.41/11.2696 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 23.8/40.7498 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 40.5s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 51.12/77.1291 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 71.6s Info:Filtering - Merging: Merged matrix has 175124 rows and total weight 29813718 (170.2 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 39.92/32.1807 Info:Filtering - Merging: Total cpu/real time for replay: 5.86/6.51715 Info:Linear Algebra: Total cpu/real time for bwc: 563.02/481.35 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 252.71, WCT time 260.9, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (5504 iterations) Info:Linear Algebra: Lingen CPU time 154.19, WCT time 121.58 Info:Linear Algebra: Mksol: CPU time 140.67, WCT time 83.86, iteration CPU time 0.02, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (2816 iterations) Info:Generate Factor Base: Total cpu/real time for makefb: 0.84/0.480722 Info:Quadratic Characters: Total cpu/real time for characters: 5.54/3.0323 Info:Square Root: Total cpu/real time for sqrt: 27.63/12.0571 Info:Filtering - Singleton removal: Total cpu/real time for purge: 44.04/63.5408 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 19713.1/11063.5 Info:root: Cleaning up computation data in /tmp/cado.ikjxm3et 376619874993567449624668231776178419594615508306453747 33714656001811596726702650649031816230797510263106346113057 |
software ソフトウェア | cado-nfs-3.0.0 |
execution environment 実行環境 | Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間) |
name 名前 | Eric Jeancolas |
---|---|
date 日付 | July 5, 2022 03:23:40 UTC 2022 年 7 月 5 日 (火) 12 時 23 分 40 秒 (日本時間) |
composite number 合成数 | 7148454977867577172458195313542882009711234946405033959744904512869808713732237068588510739798551255856301545520323453<118> |
prime factors 素因数 | 147221877714379258725691642334634464719607659<45> 48555656868716753364347360244940877342688960021519809009528482353883011767<74> |
factorization results 素因数分解の結果 | 7148454977867577172458195313542882009711234946405033959744904512869808713732237068588510739798551255856301545520323453=147221877714379258725691642334634464719607659*48555656868716753364347360244940877342688960021519809009528482353883011767 cado polynomial n: 7148454977867577172458195313542882009711234946405033959744904512869808713732237068588510739798551255856301545520323453 skew: 0.84 type: snfs c0: -20 c4: 41 Y0: 500000000000000000000000000000000000 Y1: -1 # f(x) = 41*x^4-20 # g(x) = -x+500000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 1790000 tasks.lim1 = 1790000 tasks.lpb0 = 26 tasks.lpb1 = 26 tasks.sieve.mfb0 = 49 tasks.sieve.mfb1 = 49 tasks.sieve.lambda0 = 2.3 tasks.sieve.lambda1 = 2.3 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 48555656868716753364347360244940877342688960021519809009528482353883011767 147221877714379258725691642334634464719607659 Info:Square Root: Total cpu/real time for sqrt: 94.8/73.157 Info:Filtering - Singleton removal: Total cpu/real time for purge: 36.4/53.6757 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 6078767 Info:Lattice Sieving: Average J: 1895.53 for 137851 special-q, max bucket fill -bkmult 1.0,1s:1.313750 Info:Lattice Sieving: Total time: 22065.5s Info:Linear Algebra: Total cpu/real time for bwc: 944.8/902.54 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 463.15, WCT time 449.14, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (7424 iterations) Info:Linear Algebra: Lingen CPU time 209.32, WCT time 184.1 Info:Linear Algebra: Mksol: CPU time 251.19, WCT time 249.54, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (3712 iterations) Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 23.28/40.4211 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 40.2s Info:Generate Free Relations: Total cpu/real time for freerel: 36.86/26.2935 Info:Filtering - Merging: Merged matrix has 233319 rows and total weight 39669460 (170.0 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 50.84/39.9206 Info:Filtering - Merging: Total cpu/real time for replay: 8.15/9.02876 Info:Generate Factor Base: Total cpu/real time for makefb: 0.93/1.12415 Info:Quadratic Characters: Total cpu/real time for characters: 7.65/6.34718 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 51.36/75.5455 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 70.1s Info:Square Root: Total cpu/real time for sqrt: 94.8/73.157 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 22584.5/12432.9 Info:root: Cleaning up computation data in /tmp/cado.9lrq2syf 48555656868716753364347360244940877342688960021519809009528482353883011767 147221877714379258725691642334634464719607659 |
software ソフトウェア | cado-nfs-3.0.0 |
execution environment 実行環境 | Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間) |
name 名前 | Eric Jeancolas |
---|---|
date 日付 | July 5, 2022 06:27:42 UTC 2022 年 7 月 5 日 (火) 15 時 27 分 42 秒 (日本時間) |
composite number 合成数 | 497755544688055701525967221156829905497513865243534643906717858376278146195759980985323880499449549018479<105> |
prime factors 素因数 | 3721291415016297072397585731643961218530483451649<49> 133758818962549812662150508751605202099453489152764738671<57> |
factorization results 素因数分解の結果 | 497755544688055701525967221156829905497513865243534643906717858376278146195759980985323880499449549018479=3721291415016297072397585731643961218530483451649*133758818962549812662150508751605202099453489152764738671 cado polynomial n: 497755544688055701525967221156829905497513865243534643906717858376278146195759980985323880499449549018479 skew: 0.94 type: snfs c0: -32 c4: 41 Y0: 1000000000000000000000000000000000000 Y1: -1 # f(x) = 41*x^4-32 # g(x) = -x+1000000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 1870000 tasks.lim1 = 1870000 tasks.lpb0 = 26 tasks.lpb1 = 26 tasks.sieve.mfb0 = 49 tasks.sieve.mfb1 = 49 tasks.sieve.lambda0 = 2.3 tasks.sieve.lambda1 = 2.3 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 133758818962549812662150508751605202099453489152764738671 3721291415016297072397585731643961218530483451649 Info:Square Root: Total cpu/real time for sqrt: 34.57/27.3835 Info:Quadratic Characters: Total cpu/real time for characters: 7.26/6.26342 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 51.39/76.8819 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 71.19999999999999s Info:Square Root: Total cpu/real time for sqrt: 34.57/27.3835 Info:Linear Algebra: Total cpu/real time for bwc: 828.56/800.17 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 392.73, WCT time 388.15, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (7040 iterations) Info:Linear Algebra: Lingen CPU time 201.94, WCT time 177.7 Info:Linear Algebra: Mksol: CPU time 214.37, WCT time 215.83, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (3456 iterations) Info:Filtering - Singleton removal: Total cpu/real time for purge: 36.75/54.5334 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 6050923 Info:Lattice Sieving: Average J: 1896.64 for 124182 special-q, max bucket fill -bkmult 1.0,1s:1.312940 Info:Lattice Sieving: Total time: 15699.1s Info:Generate Free Relations: Total cpu/real time for freerel: 36.16/11.3203 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 23.38/41.5563 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 41.3s Info:Filtering - Merging: Merged matrix has 220998 rows and total weight 37640647 (170.3 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 48.66/39.0761 Info:Filtering - Merging: Total cpu/real time for replay: 7.64/8.44818 Info:Generate Factor Base: Total cpu/real time for makefb: 0.95/0.512458 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 20989.7/9073.86 Info:root: Cleaning up computation data in /tmp/cado.28brc8zs 133758818962549812662150508751605202099453489152764738671 3721291415016297072397585731643961218530483451649 |
software ソフトウェア | cado-nfs-3.0.0 |
execution environment 実行環境 | Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間) |
name 名前 | Eric Jeancolas |
---|---|
date 日付 | July 5, 2022 07:35:17 UTC 2022 年 7 月 5 日 (火) 16 時 35 分 17 秒 (日本時間) |
composite number 合成数 | 18546627343640391784396073250115097607423041921092559222117521492532957746714116824985886251205976281401585536836157461<119> |
prime factors 素因数 | 54244577075828477400523804368227067807546617<44> 341907492756632007598290364096599371833495578599064953615251876771694702333<75> |
factorization results 素因数分解の結果 | 18546627343640391784396073250115097607423041921092559222117521492532957746714116824985886251205976281401585536836157461=54244577075828477400523804368227067807546617*341907492756632007598290364096599371833495578599064953615251876771694702333 cado polynomial n: 18546627343640391784396073250115097607423041921092559222117521492532957746714116824985886251205976281401585536836157461 skew: 0.38 type: snfs c0: -8 c5: 1025 Y0: 100000000000000000000000000000 Y1: -1 # f(x) = 1025*x^5-8 # g(x) = -x+100000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 2100000 tasks.lim1 = 2100000 tasks.lpb0 = 26 tasks.lpb1 = 26 tasks.sieve.mfb0 = 49 tasks.sieve.mfb1 = 49 tasks.sieve.lambda0 = 2.3 tasks.sieve.lambda1 = 2.3 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 54244577075828477400523804368227067807546617 341907492756632007598290364096599371833495578599064953615251876771694702333 Info:Square Root: Total cpu/real time for sqrt: 106.38/32.48 Info:Filtering - Singleton removal: Total cpu/real time for purge: 41.42/49.0157 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 6072208 Info:Lattice Sieving: Average J: 1893.32 for 95520 special-q, max bucket fill -bkmult 1.0,1s:1.207900 Info:Lattice Sieving: Total time: 18481.9s Info:Linear Algebra: Total cpu/real time for bwc: 650.01/205.63 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 383.26, WCT time 128.65, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6912 iterations) Info:Linear Algebra: Lingen CPU time 29.43, WCT time 7.51 Info:Linear Algebra: Mksol: CPU time 216.95, WCT time 56.76, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3456 iterations) Info:Generate Free Relations: Total cpu/real time for freerel: 30.53/22.1425 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 23.33/29.6194 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 29.5s Info:Filtering - Merging: Merged matrix has 220451 rows and total weight 37484653 (170.0 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 47.34/19.6339 Info:Filtering - Merging: Total cpu/real time for replay: 8.38/8.19433 Info:Generate Factor Base: Total cpu/real time for makefb: 0.94/1.22723 Info:Quadratic Characters: Total cpu/real time for characters: 7.04/2.74565 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 51.72/60.9038 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 50.5s Info:Square Root: Total cpu/real time for sqrt: 106.38/32.48 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 18399/9851.23 Info:root: Cleaning up computation data in /tmp/cado.unw78fzh 54244577075828477400523804368227067807546617 341907492756632007598290364096599371833495578599064953615251876771694702333 |
software ソフトウェア | cado-nfs-3.0.0 |
execution environment 実行環境 | Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間) |
name 名前 | Bob Backstrom |
---|---|
date 日付 | July 1, 2022 09:46:13 UTC 2022 年 7 月 1 日 (金) 18 時 46 分 13 秒 (日本時間) |
composite number 合成数 | 39096131261576351603868358800659046268276998145941339747000435321245650174872249836246747618896311332819748123465553100198354606767423<134> |
prime factors 素因数 | 43085075551293731058232268045159495659<38> 907417029245580561837136965146668861756507458611286647458936090942682163991077781238131735801597<96> |
factorization results 素因数分解の結果 | GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 39096131261576351603868358800659046268276998145941339747000435321245650174872249836246747618896311332819748123465553100198354606767423 (134 digits) Using B1=16580000, B2=58559116990, polynomial Dickson(12), sigma=1:925986045 Step 1 took 25183ms Step 2 took 320ms ********** Factor found in step 2: 43085075551293731058232268045159495659 Found prime factor of 38 digits: 43085075551293731058232268045159495659 Prime cofactor 907417029245580561837136965146668861756507458611286647458936090942682163991077781238131735801597 has 96 digits |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間) |
name 名前 | Eric Jeancolas |
---|---|
date 日付 | July 6, 2022 02:05:05 UTC 2022 年 7 月 6 日 (水) 11 時 5 分 5 秒 (日本時間) |
composite number 合成数 | 285575464512832257677133111990355286641984007587529308884050992165988943672874073015235511399767345946708462967<111> |
prime factors 素因数 | 3145976417637499080930418738863319309444398090163<49> 90774826826988064164916561743360827755764271754151639159390509<62> |
factorization results 素因数分解の結果 | 285575464512832257677133111990355286641984007587529308884050992165988943672874073015235511399767345946708462967=3145976417637499080930418738863319309444398090163*90774826826988064164916561743360827755764271754151639159390509 cado polynomial n: 285575464512832257677133111990355286641984007587529308884050992165988943672874073015235511399767345946708462967 skew: 0.75 type: snfs c0: -10 c5: 41 Y0: 500000000000000000000000000000 Y1: -1 # f(x) = 41*x^5-10 # g(x) = -x+500000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 2200000 tasks.lim1 = 2200000 tasks.lpb0 = 27 tasks.lpb1 = 27 tasks.sieve.mfb0 = 49 tasks.sieve.mfb1 = 49 tasks.sieve.lambda0 = 2.4 tasks.sieve.lambda1 = 2.4 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 3145976417637499080930418738863319309444398090163 90774826826988064164916561743360827755764271754151639159390509 Info:Square Root: Total cpu/real time for sqrt: 34.36/28.4955 Info:Quadratic Characters: Total cpu/real time for characters: 6.85/5.90948 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 101.01/150.427 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 140.9s Info:Square Root: Total cpu/real time for sqrt: 34.36/28.4955 Info:Linear Algebra: Total cpu/real time for bwc: 816.96/802.5 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 357.81, WCT time 362.69, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (6784 iterations) Info:Linear Algebra: Lingen CPU time 243.7, WCT time 218.56 Info:Linear Algebra: Mksol: CPU time 196.38, WCT time 202.8, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (3456 iterations) Info:Filtering - Singleton removal: Total cpu/real time for purge: 108.42/152.726 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 11631291 Info:Lattice Sieving: Average J: 1893.05 for 161841 special-q, max bucket fill -bkmult 1.0,1s:1.165020 Info:Lattice Sieving: Total time: 29873.5s Info:Generate Free Relations: Total cpu/real time for freerel: 60.08/17.42 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 44.29/77.6922 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 77.4s Info:Filtering - Merging: Merged matrix has 214284 rows and total weight 36477835 (170.2 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 46.47/37.7864 Info:Filtering - Merging: Total cpu/real time for replay: 7.11/7.85239 Info:Generate Factor Base: Total cpu/real time for makefb: 0.96/0.530767 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 56473.7/9154.14 Info:root: Cleaning up computation data in /tmp/cado.0r7pj59w 3145976417637499080930418738863319309444398090163 90774826826988064164916561743360827755764271754151639159390509 |
software ソフトウェア | cado-nfs-3.0.0 |
execution environment 実行環境 | Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間) |
name 名前 | Eric Jeancolas |
---|---|
date 日付 | July 6, 2022 06:02:04 UTC 2022 年 7 月 6 日 (水) 15 時 2 分 4 秒 (日本時間) |
composite number 合成数 | 785538755533686727404252365576165908973583261555530305511649196256164749714736206809041134039501080383044093396781<114> |
prime factors 素因数 | 6017689984345794739822218792999342951500721228687943<52> 130538255971503912745223262628915022188208307482668049168812267<63> |
factorization results 素因数分解の結果 | 785538755533686727404252365576165908973583261555530305511649196256164749714736206809041134039501080383044093396781=6017689984345794739822218792999342951500721228687943*130538255971503912745223262628915022188208307482668049168812267 cado polynomial n: 785538755533686727404252365576165908973583261555530305511649196256164749714736206809041134039501080383044093396781 skew: 0.75 type: snfs c0: -10 c5: 41 Y0: 5000000000000000000000000000000 Y1: -1 # f(x) = 41*x^5-10 # g(x) = -x+5000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 2700000 tasks.lim1 = 2700000 tasks.lpb0 = 27 tasks.lpb1 = 27 tasks.sieve.mfb0 = 50 tasks.sieve.mfb1 = 50 tasks.sieve.lambda0 = 2.4 tasks.sieve.lambda1 = 2.4 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 130538255971503912745223262628915022188208307482668049168812267 6017689984345794739822218792999342951500721228687943 Info:Square Root: Total cpu/real time for sqrt: 47.51/14.861 Info:Filtering - Singleton removal: Total cpu/real time for purge: 91.31/79.4697 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 11658604 Info:Lattice Sieving: Average J: 1895.93 for 186230 special-q, max bucket fill -bkmult 1.0,1s:1.237270 Info:Lattice Sieving: Total time: 22649.7s Info:Linear Algebra: Total cpu/real time for bwc: 1073.02/277.66 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 647.96, WCT time 165.58, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8832 iterations) Info:Linear Algebra: Lingen CPU time 43.58, WCT time 11.1 Info:Linear Algebra: Mksol: CPU time 357.19, WCT time 91.29, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4480 iterations) Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 43.7/46.083 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 46.0s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 99.97/86.4212 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 75.6s Info:Filtering - Merging: Merged matrix has 281429 rows and total weight 47976907 (170.5 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 57.21/15.9752 Info:Filtering - Merging: Total cpu/real time for replay: 8.73/7.26883 Info:Generate Factor Base: Total cpu/real time for makefb: 1.18/0.654863 Info:Quadratic Characters: Total cpu/real time for characters: 8.84/3.47181 Info:Square Root: Total cpu/real time for sqrt: 47.51/14.861 Info:Generate Free Relations: Total cpu/real time for freerel: 59.84/16.8935 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 42827.9/12034.3 Info:root: Cleaning up computation data in /tmp/cado.oc072y7s 130538255971503912745223262628915022188208307482668049168812267 6017689984345794739822218792999342951500721228687943 |
software ソフトウェア | cado-nfs-3.0.0 |
execution environment 実行環境 | Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間) |
name 名前 | Eric Jeancolas |
---|---|
date 日付 | July 6, 2022 14:23:45 UTC 2022 年 7 月 6 日 (水) 23 時 23 分 45 秒 (日本時間) |
composite number 合成数 | 37034944399726957671053348213184857711544701869729146980652274412971695937110002300228695199224820466518093870261205358206828410029<131> |
prime factors 素因数 | 4353793285740659188866500871822427968837124944256138166165757199<64> 8506362605919321234643506769053195503924703239983571076720117271171<67> |
factorization results 素因数分解の結果 | 37034944399726957671053348213184857711544701869729146980652274412971695937110002300228695199224820466518093870261205358206828410029=4353793285740659188866500871822427968837124944256138166165757199*8506362605919321234643506769053195503924703239983571076720117271171 cado polynomial n: 37034944399726957671053348213184857711544701869729146980652274412971695937110002300228695199224820466518093870261205358206828410029 skew: 0.95 type: snfs c0: -32 c5: 41 Y0: 10000000000000000000000000000000 Y1: -1 # f(x) = 41*x^5-32 # g(x) = -x+10000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 2900000 tasks.lim1 = 2900000 tasks.lpb0 = 27 tasks.lpb1 = 27 tasks.sieve.mfb0 = 50 tasks.sieve.mfb1 = 50 tasks.sieve.lambda0 = 2.4 tasks.sieve.lambda1 = 2.4 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 8506362605919321234643506769053195503924703239983571076720117271171 4353793285740659188866500871822427968837124944256138166165757199 Info:Square Root: Total cpu/real time for sqrt: 44.31/14.3306 Info:Filtering - Singleton removal: Total cpu/real time for purge: 95.09/81.4415 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 11641034 Info:Lattice Sieving: Average J: 1894.5 for 162015 special-q, max bucket fill -bkmult 1.0,1s:1.229720 Info:Lattice Sieving: Total time: 20997.9s Info:Linear Algebra: Total cpu/real time for bwc: 939.52/244.26 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 565.15, WCT time 145.07, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8448 iterations) Info:Linear Algebra: Lingen CPU time 42.19, WCT time 10.71 Info:Linear Algebra: Mksol: CPU time 309.76, WCT time 79.41, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4224 iterations) Info:Generate Free Relations: Total cpu/real time for freerel: 60.14/17.8939 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 44.97/48.2976 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 48.2s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 101.78/85.5543 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 77.3s Info:Filtering - Merging: Merged matrix has 267163 rows and total weight 45557902 (170.5 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 53.47/14.9279 Info:Filtering - Merging: Total cpu/real time for replay: 8.22/6.85466 Info:Generate Factor Base: Total cpu/real time for makefb: 1.27/0.692016 Info:Quadratic Characters: Total cpu/real time for characters: 8.46/3.30519 Info:Square Root: Total cpu/real time for sqrt: 44.31/14.3306 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 39717.8/11159.2 Info:root: Cleaning up computation data in /tmp/cado.00h9qjdb 8506362605919321234643506769053195503924703239983571076720117271171 4353793285740659188866500871822427968837124944256138166165757199 |
software ソフトウェア | cado-nfs-3.0.0 |
execution environment 実行環境 | Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間) |
name 名前 | Bob Backstrom |
---|---|
date 日付 | June 30, 2022 17:53:24 UTC 2022 年 7 月 1 日 (金) 2 時 53 分 24 秒 (日本時間) |
composite number 合成数 | 59071000461041954817888427846934071000461041954817888427846934071000461041954817888427846934071000461041954817888427846934071000461041954817888427846934071<155> |
prime factors 素因数 | 72164062108020465307241348032666432956120278056957<50> 818565345900569528213724212436102839986770864943997717190438021531957601446292263419765241868859839777603<105> |
factorization results 素因数分解の結果 | Number: n N=59071000461041954817888427846934071000461041954817888427846934071000461041954817888427846934071000461041954817888427846934071000461041954817888427846934071 ( 155 digits) SNFS difficulty: 158 digits. Divisors found: Fri Jul 1 03:43:08 2022 p50 factor: 72164062108020465307241348032666432956120278056957 Fri Jul 1 03:43:08 2022 p105 factor: 818565345900569528213724212436102839986770864943997717190438021531957601446292263419765241868859839777603 Fri Jul 1 03:43:08 2022 elapsed time 00:07:22 (Msieve 1.54 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.350). Factorization parameters were as follows: # # N = 41x10^158-32 = 45(157)2 # n: 59071000461041954817888427846934071000461041954817888427846934071000461041954817888427846934071000461041954817888427846934071000461041954817888427846934071 m: 10000000000000000000000000000000 deg: 5 c5: 5125 c0: -4 skew: 0.24 # Murphy_E = 5.629e-10 type: snfs lss: 1 rlim: 3100000 alim: 3100000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4 Factor base limits: 3100000/3100000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved special-q in [100000, 7150000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1380414 hash collisions in 13567081 relations (13023497 unique) Msieve: matrix is 466500 x 466727 (155.6 MB) Sieving start time : 2022/07/01 02:45:23 Sieving end time : 2022/07/01 03:35:31 Total sieving time: 0hrs 50min 8secs. Total relation processing time: 0hrs 3min 22sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 53sec. Prototype def-par.txt line would be: snfs,158,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.116178] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved) [ 0.153523] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.13 BogoMIPS (lpj=12798268) [ 0.152034] smpboot: Total of 16 processors activated (102386.14 BogoMIPS) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間) |
name 名前 | Bob Backstrom |
---|---|
date 日付 | July 1, 2022 23:48:59 UTC 2022 年 7 月 2 日 (土) 8 時 48 分 59 秒 (日本時間) |
composite number 合成数 | 2780000499598264755351781341928627447416150485773822171900540732185338474504114594848557205234936515815636045657357951962786893325933674293479<142> |
prime factors 素因数 | 10328144997789050083484158042818021379<38> 962781894334683611513903725284222011621<39> 279572617811840338742060287455277213560178432797954675917429156681<66> |
factorization results 素因数分解の結果 | GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 2780000499598264755351781341928627447416150485773822171900540732185338474504114594848557205234936515815636045657357951962786893325933674293479 (142 digits) Using B1=16330000, B2=58558792120, polynomial Dickson(12), sigma=1:2000044035 Step 1 took 31834ms Step 2 took 13993ms ********** Factor found in step 2: 10328144997789050083484158042818021379 Found prime factor of 38 digits: 10328144997789050083484158042818021379 Composite cofactor 269167454580990150369345433924998961565178125594685372397871544420344475453350332576609375331631411789901 has 105 digits GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 269167454580990150369345433924998961565178125594685372397871544420344475453350332576609375331631411789901 (105 digits) Using B1=17680000, B2=58560416470, polynomial Dickson(12), sigma=1:1266995160 Step 1 took 22179ms Step 2 took 10534ms ********** Factor found in step 2: 962781894334683611513903725284222011621 Found prime factor of 39 digits: 962781894334683611513903725284222011621 Prime cofactor 279572617811840338742060287455277213560178432797954675917429156681 has 66 digits |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間) |
name 名前 | Bob Backstrom |
---|---|
date 日付 | July 3, 2022 21:35:40 UTC 2022 年 7 月 4 日 (月) 6 時 35 分 40 秒 (日本時間) |
composite number 合成数 | 24256030351766218878771704233654097280999004512471094308126739063936945942348078017411959582482840056478902689891646711291871066396081<134> |
prime factors 素因数 | 226663684899088088300676778679234582773835563499<48> 107013306355471703375720240551183080771531926766959838623044174927933534324422619710419<87> |
factorization results 素因数分解の結果 | Number: n N=24256030351766218878771704233654097280999004512471094308126739063936945942348078017411959582482840056478902689891646711291871066396081 ( 134 digits) SNFS difficulty: 163 digits. Divisors found: Mon Jul 4 07:07:58 2022 p48 factor: 226663684899088088300676778679234582773835563499 Mon Jul 4 07:07:58 2022 p87 factor: 107013306355471703375720240551183080771531926766959838623044174927933534324422619710419 Mon Jul 4 07:07:58 2022 elapsed time 00:09:43 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.349). Factorization parameters were as follows: # # N = 41x10^163-32 = 45(162)2 # n: 24256030351766218878771704233654097280999004512471094308126739063936945942348078017411959582482840056478902689891646711291871066396081 m: 100000000000000000000000000000000 deg: 5 c5: 5125 c0: -4 skew: 0.24 # Murphy_E = 3.601e-10 type: snfs lss: 1 rlim: 3700000 alim: 3700000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4 Factor base limits: 3700000/3700000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved special-q in [100000, 36250000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 919309 hash collisions in 11972880 relations (11843889 unique) Msieve: matrix is 637930 x 638155 (218.7 MB) Sieving start time : 2022/07/04 03:29:44 Sieving end time : 2022/07/04 06:57:32 Total sieving time: 3hrs 27min 48secs. Total relation processing time: 0hrs 6min 7sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 43sec. Prototype def-par.txt line would be: snfs,163,5,0,0,0,0,0,0,0,0,3700000,3700000,27,27,51,51,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.116860] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved) [ 0.154123] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6398.87 BogoMIPS (lpj=12797740) [ 0.152024] smpboot: Total of 16 processors activated (102381.92 BogoMIPS) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間) |
name 名前 | Bob Backstrom |
---|---|
date 日付 | July 2, 2022 07:46:54 UTC 2022 年 7 月 2 日 (土) 16 時 46 分 54 秒 (日本時間) |
composite number 合成数 | 1195744833866689191932859998499124416137046198270106966176552674316801798198645055215506723249732174155659724645792848912999584408092121619228051026820736277<157> |
prime factors 素因数 | 2463996360237064225854191021401551328317776891916091389613<58> 485286769559856435660429076325838970666494557914800605077477282643930965686710556014365318386187529<99> |
factorization results 素因数分解の結果 | Number: n N=1195744833866689191932859998499124416137046198270106966176552674316801798198645055215506723249732174155659724645792848912999584408092121619228051026820736277 ( 157 digits) SNFS difficulty: 165 digits. Divisors found: Sat Jul 2 17:42:49 2022 p58 factor: 2463996360237064225854191021401551328317776891916091389613 Sat Jul 2 17:42:49 2022 p99 factor: 485286769559856435660429076325838970666494557914800605077477282643930965686710556014365318386187529 Sat Jul 2 17:42:49 2022 elapsed time 00:09:17 (Msieve 1.54 - dependency 4) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.344). Factorization parameters were as follows: # # N = 41x10^164-32 = 45(163)2 # n: 1195744833866689191932859998499124416137046198270106966176552674316801798198645055215506723249732174155659724645792848912999584408092121619228051026820736277 m: 500000000000000000000000000000000 deg: 5 c5: 41 c0: -10 skew: 0.75 # Murphy_E = 3.924e-10 type: snfs lss: 1 rlim: 4000000 alim: 4000000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4 Factor base limits: 4000000/4000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved special-q in [100000, 14800000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1299402 hash collisions in 13398593 relations (12941068 unique) Msieve: matrix is 538785 x 539010 (183.6 MB) Sieving start time : 2022/07/02 16:37:55 Sieving end time : 2022/07/02 17:33:16 Total sieving time: 0hrs 55min 21secs. Total relation processing time: 0hrs 4min 15sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 55sec. Prototype def-par.txt line would be: snfs,165,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,51,51,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.116860] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved) [ 0.154123] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6398.87 BogoMIPS (lpj=12797740) [ 0.152024] smpboot: Total of 16 processors activated (102381.92 BogoMIPS) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間) |
name 名前 | Eric Jeancolas |
---|---|
date 日付 | July 8, 2022 08:11:07 UTC 2022 年 7 月 8 日 (金) 17 時 11 分 7 秒 (日本時間) |
composite number 合成数 | 749631113079224474495706531938693779471203254463211352455888387208003225146647274879583173548489401999016394341331261967<120> |
prime factors 素因数 | 1586998113862668291929727289956823709383<40> 472357910530002175648015159800893852722951148395673228101640577419102193607203449<81> |
factorization results 素因数分解の結果 | 749631113079224474495706531938693779471203254463211352455888387208003225146647274879583173548489401999016394341331261967=1586998113862668291929727289956823709383*472357910530002175648015159800893852722951148395673228101640577419102193607203449 cado polynomial n: 749631113079224474495706531938693779471203254463211352455888387208003225146647274879583173548489401999016394341331261967 skew: 0.95 type: snfs c0: -32 c5: 41 Y0: 1000000000000000000000000000000000 Y1: -1 # f(x) = 41*x^5-32 # g(x) = -x+1000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 4200000 tasks.lim1 = 4200000 tasks.lpb0 = 27 tasks.lpb1 = 27 tasks.sieve.mfb0 = 51 tasks.sieve.mfb1 = 51 tasks.sieve.lambda0 = 2.4 tasks.sieve.lambda1 = 2.4 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 472357910530002175648015159800893852722951148395673228101640577419102193607203449 1586998113862668291929727289956823709383 Info:Square Root: Total cpu/real time for sqrt: 91.03/28.7398 Info:Filtering - Singleton removal: Total cpu/real time for purge: 71.2/68.3259 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 11625765 Info:Lattice Sieving: Average J: 1893.75 for 282605 special-q, max bucket fill -bkmult 1.0,1s:1.252600 Info:Lattice Sieving: Total time: 36944.2s Info:Linear Algebra: Total cpu/real time for bwc: 3168.38/820.1 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 1958.34, WCT time 499.97, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (14720 iterations) Info:Linear Algebra: Lingen CPU time 73.62, WCT time 18.8 Info:Linear Algebra: Mksol: CPU time 1093.65, WCT time 283.65, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7424 iterations) Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.84/51.1005 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 51.0s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 104.96/89.4907 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 80.1s Info:Filtering - Merging: Merged matrix has 470399 rows and total weight 80396318 (170.9 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 98.03/27.5394 Info:Filtering - Merging: Total cpu/real time for replay: 15.22/12.8128 Info:Generate Factor Base: Total cpu/real time for makefb: 1.82/0.982713 Info:Quadratic Characters: Total cpu/real time for characters: 15.25/6.02706 Info:Square Root: Total cpu/real time for sqrt: 91.03/28.7398 Info:Generate Free Relations: Total cpu/real time for freerel: 59.78/16.6616 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 71724/19756.2 Info:root: Cleaning up computation data in /tmp/cado.a2eua7hh 472357910530002175648015159800893852722951148395673228101640577419102193607203449 1586998113862668291929727289956823709383 |
software ソフトウェア | cado-nfs-3.0.0 |
execution environment 実行環境 | Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間) |
name 名前 | Bob Backstrom |
---|---|
date 日付 | July 1, 2022 23:04:51 UTC 2022 年 7 月 2 日 (土) 8 時 4 分 51 秒 (日本時間) |
composite number 合成数 | 146764032073310423825887743413516609392898052691867124856815578465063001145475372279495990836197021764032073310423825887743413516609392898052691867124856815578465063<165> |
prime factors 素因数 | 3258583748039775389482219393421893284390424265408140108700116892285324183<73> 45039208263896052480778678327008873517636755578120233382550085585264337285883218108805445361<92> |
factorization results 素因数分解の結果 | Number: n N=146764032073310423825887743413516609392898052691867124856815578465063001145475372279495990836197021764032073310423825887743413516609392898052691867124856815578465063 ( 165 digits) SNFS difficulty: 168 digits. Divisors found: Sat Jul 2 09:00:13 2022 p73 factor: 3258583748039775389482219393421893284390424265408140108700116892285324183 Sat Jul 2 09:00:13 2022 p92 factor: 45039208263896052480778678327008873517636755578120233382550085585264337285883218108805445361 Sat Jul 2 09:00:13 2022 elapsed time 00:10:17 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.322). Factorization parameters were as follows: # # N = 41x10^167-32 = 45(166)2 # n: 146764032073310423825887743413516609392898052691867124856815578465063001145475372279495990836197021764032073310423825887743413516609392898052691867124856815578465063 m: 1000000000000000000000000000000000 deg: 5 c5: 1025 c0: -8 skew: 0.38 # Murphy_E = 2.826e-10 type: snfs lss: 1 rlim: 4400000 alim: 4400000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 4400000/4400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved special-q in [100000, 15000000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1250995 hash collisions in 13251950 relations (12843493 unique) Msieve: matrix is 638474 x 638699 (220.5 MB) Sieving start time : 2022/07/02 07:46:57 Sieving end time : 2022/07/02 08:49:42 Total sieving time: 1hrs 2min 45secs. Total relation processing time: 0hrs 6min 19sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 44sec. Prototype def-par.txt line would be: snfs,168,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,52,52,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.118735] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved) [ 0.153513] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.24 BogoMIPS (lpj=12798496) [ 0.152037] smpboot: Total of 16 processors activated (102387.96 BogoMIPS) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間) |
name 名前 | Eric Jeancolas |
---|---|
date 日付 | July 9, 2022 01:38:50 UTC 2022 年 7 月 9 日 (土) 10 時 38 分 50 秒 (日本時間) |
composite number 合成数 | 520495806966004176903312266531083111260438158390678345222134938446094691669387488432573768738039841820009536866362810240987179<126> |
prime factors 素因数 | 144662761641418038062027339616033134063<39> 3597994404781100955417729455233978801193289821338440278837306504002656432612063984313733<88> |
factorization results 素因数分解の結果 | 520495806966004176903312266531083111260438158390678345222134938446094691669387488432573768738039841820009536866362810240987179=144662761641418038062027339616033134063*3597994404781100955417729455233978801193289821338440278837306504002656432612063984313733 cado polynomial n: 520495806966004176903312266531083111260438158390678345222134938446094691669387488432573768738039841820009536866362810240987179 skew: 0.24 type: snfs c0: -4 c5: 5125 Y0: 1000000000000000000000000000000000 Y1: -1 # f(x) = 5125*x^5-4 # g(x) = -x+1000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 4500000 tasks.lim1 = 4500000 tasks.lpb0 = 27 tasks.lpb1 = 27 tasks.sieve.mfb0 = 52 tasks.sieve.mfb1 = 52 tasks.sieve.lambda0 = 2.4 tasks.sieve.lambda1 = 2.4 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 144662761641418038062027339616033134063 3597994404781100955417729455233978801193289821338440278837306504002656432612063984313733 Info:Square Root: Total cpu/real time for sqrt: 204.74/65.387 Info:Filtering - Singleton removal: Total cpu/real time for purge: 44.43/51.115 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 11638302 Info:Lattice Sieving: Average J: 1893.47 for 442591 special-q, max bucket fill -bkmult 1.0,1s:1.240210 Info:Lattice Sieving: Total time: 54895.2s Info:Linear Algebra: Total cpu/real time for bwc: 9475.04/2439.88 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 5955.09, WCT time 1527.34, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (24832 iterations) Info:Linear Algebra: Lingen CPU time 145.0, WCT time 36.85 Info:Linear Algebra: Mksol: CPU time 3252.72, WCT time 830.82, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12544 iterations) Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 46.19/50.604 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 50.5s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 104.96/89.2275 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 80.0s Info:Filtering - Merging: Merged matrix has 791473 rows and total weight 134797969 (170.3 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 175.82/49.669 Info:Filtering - Merging: Total cpu/real time for replay: 29.12/24.2738 Info:Generate Factor Base: Total cpu/real time for makefb: 1.97/1.05224 Info:Quadratic Characters: Total cpu/real time for characters: 28.8/11.3066 Info:Square Root: Total cpu/real time for sqrt: 204.74/65.387 Info:Generate Free Relations: Total cpu/real time for freerel: 59.91/16.6973 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 111587/30420.8 Info:root: Cleaning up computation data in /tmp/cado.bkeiznx7 144662761641418038062027339616033134063 3597994404781100955417729455233978801193289821338440278837306504002656432612063984313733 |
software ソフトウェア | cado-nfs-3.0.0 |
execution environment 実行環境 | Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間) |
name 名前 | Bob Backstrom |
---|---|
date 日付 | July 4, 2022 19:08:34 UTC 2022 年 7 月 5 日 (火) 4 時 8 分 34 秒 (日本時間) |
composite number 合成数 | 4536639583149654755088737555444374690844609870240600348343104148497978384881951769457625042179683148698741283898213564277942247560128842334557385082714668473886837<163> |
prime factors 素因数 | 95926431738665588288692352876375114538593782857550023611<56> 47292904582429565943378085869104545849366515159572431766436010700597037286135477631917680823812005153005967<107> |
factorization results 素因数分解の結果 | Number: n N=4536639583149654755088737555444374690844609870240600348343104148497978384881951769457625042179683148698741283898213564277942247560128842334557385082714668473886837 ( 163 digits) SNFS difficulty: 170 digits. Divisors found: Tue Jul 5 05:04:49 2022 p56 factor: 95926431738665588288692352876375114538593782857550023611 Tue Jul 5 05:04:49 2022 p107 factor: 47292904582429565943378085869104545849366515159572431766436010700597037286135477631917680823812005153005967 Tue Jul 5 05:04:49 2022 elapsed time 00:12:26 (Msieve 1.54 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.335). Factorization parameters were as follows: # # N = 41x10^169-32 = 45(168)2 # n: 4536639583149654755088737555444374690844609870240600348343104148497978384881951769457625042179683148698741283898213564277942247560128842334557385082714668473886837 m: 5000000000000000000000000000000000 deg: 5 c5: 41 c0: -10 skew: 0.75 # Murphy_E = 2.493e-10 type: snfs lss: 1 rlim: 4800000 alim: 4800000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 4800000/4800000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved special-q in [100000, 15200000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1136865 hash collisions in 12300200 relations (11939149 unique) Msieve: matrix is 727195 x 727423 (251.7 MB) Sieving start time : 2022/07/05 03:46:00 Sieving end time : 2022/07/05 04:52:08 Total sieving time: 1hrs 6min 8secs. Total relation processing time: 0hrs 7min 59sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 26sec. Prototype def-par.txt line would be: snfs,170,5,0,0,0,0,0,0,0,0,4800000,4800000,27,27,52,52,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.116860] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved) [ 0.154123] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6398.87 BogoMIPS (lpj=12797740) [ 0.152024] smpboot: Total of 16 processors activated (102381.92 BogoMIPS) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間) |
name 名前 | Bob Backstrom |
---|---|
date 日付 | July 7, 2022 14:58:28 UTC 2022 年 7 月 7 日 (木) 23 時 58 分 28 秒 (日本時間) |
composite number 合成数 | 4220116897576331587894463361786407472996710411705418865252837502060391473664719389431583393305869166771174118308840971879214376636150466188744269857242981<154> |
prime factors 素因数 | 336822223030589480501659083105811622087265149<45> 12529211581128569163716878099508888378969273985702889760916115540775962540739024812591615713925960062645647369<110> |
factorization results 素因数分解の結果 | Number: n N=4220116897576331587894463361786407472996710411705418865252837502060391473664719389431583393305869166771174118308840971879214376636150466188744269857242981 ( 154 digits) SNFS difficulty: 173 digits. Divisors found: Fri Jul 8 00:53:20 2022 p45 factor: 336822223030589480501659083105811622087265149 Fri Jul 8 00:53:20 2022 p110 factor: 12529211581128569163716878099508888378969273985702889760916115540775962540739024812591615713925960062645647369 Fri Jul 8 00:53:20 2022 elapsed time 00:19:06 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.344). Factorization parameters were as follows: # # N = 41x10^173-32 = 45(172)2 # n: 4220116897576331587894463361786407472996710411705418865252837502060391473664719389431583393305869166771174118308840971879214376636150466188744269857242981 m: 10000000000000000000000000000000000 deg: 5 c5: 5125 c0: -4 skew: 0.24 # Murphy_E = 1.453e-10 type: snfs lss: 1 rlim: 5500000 alim: 5500000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 5500000/5500000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved special-q in [100000, 15550000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1265837 hash collisions in 11928346 relations (11371484 unique) Msieve: matrix is 973127 x 973352 (337.1 MB) Sieving start time : 2022/07/07 22:55:38 Sieving end time : 2022/07/08 00:33:30 Total sieving time: 1hrs 37min 52secs. Total relation processing time: 0hrs 14min 37sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 18sec. Prototype def-par.txt line would be: snfs,173,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,52,52,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.116860] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved) [ 0.154123] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6398.87 BogoMIPS (lpj=12797740) [ 0.152024] smpboot: Total of 16 processors activated (102381.92 BogoMIPS) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間) |
name 名前 | Eric Jeancolas |
---|---|
date 日付 | July 12, 2022 18:27:13 UTC 2022 年 7 月 13 日 (水) 3 時 27 分 13 秒 (日本時間) |
composite number 合成数 | 2267476161265168642081331286395320368594141249883257856707228056760285000501668639187207728567117716010535568989102827160499595461007<133> |
prime factors 素因数 | 701886757492629758306643953769495091698729540752788829035847<60> 3230544154110185692309748153881225409911775190539139387382458976219004281<73> |
factorization results 素因数分解の結果 | 2267476161265168642081331286395320368594141249883257856707228056760285000501668639187207728567117716010535568989102827160499595461007=701886757492629758306643953769495091698729540752788829035847*3230544154110185692309748153881225409911775190539139387382458976219004281 cado polynomial n: 2267476161265168642081331286395320368594141249883257856707228056760285000501668639187207728567117716010535568989102827160499595461007 skew: 0.95 type: snfs c0: -32 c5: 41 Y0: 100000000000000000000000000000000000 Y1: -1 # f(x) = 41*x^5-32 # g(x) = -x+100000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 6100000 tasks.lim1 = 6100000 tasks.lpb0 = 28 tasks.lpb1 = 28 tasks.sieve.mfb0 = 53 tasks.sieve.mfb1 = 53 tasks.sieve.lambda0 = 2.5 tasks.sieve.lambda1 = 2.5 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 3230544154110185692309748153881225409911775190539139387382458976219004281 701886757492629758306643953769495091698729540752788829035847 Info:Square Root: Total cpu/real time for sqrt: 157.34/50.6628 Info:Quadratic Characters: Total cpu/real time for characters: 24.35/9.59898 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 216.28/181.208 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 163.5s Info:Square Root: Total cpu/real time for sqrt: 157.34/50.6628 Info:Linear Algebra: Total cpu/real time for bwc: 8111.74/2085.05 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 5086.5, WCT time 1300.31, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (23040 iterations) Info:Linear Algebra: Lingen CPU time 127.1, WCT time 32.37 Info:Linear Algebra: Mksol: CPU time 2785.78, WCT time 711.37, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11520 iterations) Info:Filtering - Singleton removal: Total cpu/real time for purge: 147.68/142.04 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 22446391 Info:Lattice Sieving: Average J: 1892.98 for 571601 special-q, max bucket fill -bkmult 1.0,1s:1.169280 Info:Lattice Sieving: Total time: 95273.7s Info:Generate Free Relations: Total cpu/real time for freerel: 117.6/32.4938 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 90.86/101.635 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 101.6s Info:Filtering - Merging: Merged matrix has 735795 rows and total weight 125626787 (170.7 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 167.56/46.8666 Info:Filtering - Merging: Total cpu/real time for replay: 25/20.9732 Info:Generate Factor Base: Total cpu/real time for makefb: 2.64/1.40845 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 186115/50559.4 Info:root: Cleaning up computation data in /tmp/cado.d0s4do0p 3230544154110185692309748153881225409911775190539139387382458976219004281 701886757492629758306643953769495091698729540752788829035847 |
software ソフトウェア | cado-nfs-3.0.0 |
execution environment 実行環境 | Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | July 12, 2022 13:24:18 UTC 2022 年 7 月 12 日 (火) 22 時 24 分 18 秒 (日本時間) |
name 名前 | ebina |
---|---|
date 日付 | July 2, 2022 09:12:46 UTC 2022 年 7 月 2 日 (土) 18 時 12 分 46 秒 (日本時間) |
composite number 合成数 | 14236111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<176> |
prime factors 素因数 | 149367156188326762690102908468343649433284980788056579<54> 95309514316264941312552792698539029887551387752543800613420956630875649966768200600949940698165365775239872957725845936109<122> |
factorization results 素因数分解の結果 | Sat Jul 2 16:35:16 2022 Msieve v. 1.53 (SVN unknown) Sat Jul 2 16:35:16 2022 random seeds: 688e9928 7eb0b65a Sat Jul 2 16:35:16 2022 factoring 14236111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 (176 digits) Sat Jul 2 16:35:16 2022 searching for 15-digit factors Sat Jul 2 16:35:17 2022 commencing number field sieve (176-digit input) Sat Jul 2 16:35:17 2022 R0: -100000000000000000000000000000000000 Sat Jul 2 16:35:17 2022 R1: 1 Sat Jul 2 16:35:17 2022 A0: -16 Sat Jul 2 16:35:17 2022 A1: 0 Sat Jul 2 16:35:17 2022 A2: 0 Sat Jul 2 16:35:17 2022 A3: 0 Sat Jul 2 16:35:17 2022 A4: 0 Sat Jul 2 16:35:17 2022 A5: 205 Sat Jul 2 16:35:17 2022 skew 0.60, size 1.981e-12, alpha 0.316, combined = 1.250e-10 rroots = 1 Sat Jul 2 16:35:17 2022 Sat Jul 2 16:35:17 2022 commencing square root phase Sat Jul 2 16:35:17 2022 reading relations for dependency 1 Sat Jul 2 16:35:17 2022 read 687636 cycles Sat Jul 2 16:35:18 2022 cycles contain 2420534 unique relations Sat Jul 2 16:35:37 2022 read 2420534 relations Sat Jul 2 16:35:46 2022 multiplying 2420534 relations Sat Jul 2 16:36:36 2022 multiply complete, coefficients have about 71.04 million bits Sat Jul 2 16:36:37 2022 initial square root is modulo 125731 Sat Jul 2 16:37:34 2022 sqrtTime: 137 Sat Jul 2 16:37:34 2022 p54 factor: 149367156188326762690102908468343649433284980788056579 Sat Jul 2 16:37:34 2022 p122 factor: 95309514316264941312552792698539029887551387752543800613420956630875649966768200600949940698165365775239872957725845936109 Sat Jul 2 16:37:34 2022 elapsed time 00:02:18 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2400 | ebina | July 1, 2022 13:40:58 UTC 2022 年 7 月 1 日 (金) 22 時 40 分 58 秒 (日本時間) |
name 名前 | Bob Backstrom |
---|---|
date 日付 | July 9, 2022 01:10:19 UTC 2022 年 7 月 9 日 (土) 10 時 10 分 19 秒 (日本時間) |
composite number 合成数 | 105724190280602934433178474728143395751244946177413484193191782979779263568817928050119166118551206031423746102851627929735930059724574972251783737280193735401294369399867<171> |
prime factors 素因数 | 87608715194180167468769032697157974299079368556534606333036246651489<68> 1206777088857778101428625623818783742707686164053405875689413173264225046882448107980377586156655768603<103> |
factorization results 素因数分解の結果 | Number: n N=105724190280602934433178474728143395751244946177413484193191782979779263568817928050119166118551206031423746102851627929735930059724574972251783737280193735401294369399867 ( 171 digits) SNFS difficulty: 178 digits. Divisors found: Sat Jul 9 11:03:23 2022 p68 factor: 87608715194180167468769032697157974299079368556534606333036246651489 Sat Jul 9 11:03:23 2022 p103 factor: 1206777088857778101428625623818783742707686164053405875689413173264225046882448107980377586156655768603 Sat Jul 9 11:03:23 2022 elapsed time 00:24:20 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.332). Factorization parameters were as follows: # # N = 41x10^177-32 = 45(176)2 # n: 105724190280602934433178474728143395751244946177413484193191782979779263568817928050119166118551206031423746102851627929735930059724574972251783737280193735401294369399867 m: 100000000000000000000000000000000000 deg: 5 c5: 1025 c0: -8 skew: 0.38 # Murphy_E = 1.13e-10 type: snfs lss: 1 rlim: 6500000 alim: 6500000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 6500000/6500000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved special-q in [100000, 16050000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1259763 hash collisions in 11748980 relations (11184008 unique) Msieve: matrix is 1094406 x 1094631 (380.8 MB) Sieving start time : 2022/07/09 09:02:05 Sieving end time : 2022/07/09 10:38:49 Total sieving time: 1hrs 36min 44secs. Total relation processing time: 0hrs 19min 36sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 27sec. Prototype def-par.txt line would be: snfs,178,5,0,0,0,0,0,0,0,0,6500000,6500000,27,27,52,52,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.116860] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved) [ 0.154123] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6398.87 BogoMIPS (lpj=12797740) [ 0.152024] smpboot: Total of 16 processors activated (102381.92 BogoMIPS) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間) |
name 名前 | Eric Jeancolas |
---|---|
date 日付 | July 13, 2022 21:48:33 UTC 2022 年 7 月 14 日 (木) 6 時 48 分 33 秒 (日本時間) |
composite number 合成数 | 104314540101516125431223123748647423466858843947514616367666228487635797095912798460874694667845268480356958423744504174208363106174314411<138> |
prime factors 素因数 | 12798988131721261133930320995997759922317625909<47> 8150217738149232302278677099546104928649809380036317586270412359142814309612979240213456479<91> |
factorization results 素因数分解の結果 | 104314540101516125431223123748647423466858843947514616367666228487635797095912798460874694667845268480356958423744504174208363106174314411=12798988131721261133930320995997759922317625909*8150217738149232302278677099546104928649809380036317586270412359142814309612979240213456479 cado polynomial n: 104314540101516125431223123748647423466858843947514616367666228487635797095912798460874694667845268480356958423744504174208363106174314411 skew: 0.75 type: snfs c0: -10 c5: 41 Y0: 500000000000000000000000000000000000 Y1: -1 # f(x) = 41*x^5-10 # g(x) = -x+500000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 7000000 tasks.lim1 = 7000000 tasks.lpb0 = 28 tasks.lpb1 = 28 tasks.sieve.mfb0 = 53 tasks.sieve.mfb1 = 53 tasks.sieve.lambda0 = 2.5 tasks.sieve.lambda1 = 2.5 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 12798988131721261133930320995997759922317625909 8150217738149232302278677099546104928649809380036317586270412359142814309612979240213456479 Info:Square Root: Total cpu/real time for sqrt: 230.09/72.9539 Info:Quadratic Characters: Total cpu/real time for characters: 35.32/14.4086 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 22415614 Info:Lattice Sieving: Average J: 1895.04 for 940627 special-q, max bucket fill -bkmult 1.0,1s:1.173060 Info:Lattice Sieving: Total time: 155157s Info:Generate Free Relations: Total cpu/real time for freerel: 117.63/32.4028 Info:Square Root: Total cpu/real time for sqrt: 230.09/72.9539 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 91.01/103.648 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 103.6s Info:Linear Algebra: Total cpu/real time for bwc: 17121.1/4390.46 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 10852.01, WCT time 2772.35, iteration CPU time 0.08, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (33024 iterations) Info:Linear Algebra: Lingen CPU time 213.0, WCT time 53.93 Info:Linear Algebra: Mksol: CPU time 5884.78, WCT time 1501.39, iteration CPU time 0.09, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (16640 iterations) Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 215.27/182.892 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 166.1s Info:Generate Factor Base: Total cpu/real time for makefb: 2.97/1.62228 Info:Filtering - Merging: Merged matrix has 1049569 rows and total weight 179407410 (170.9 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 252.9/70.4102 Info:Filtering - Merging: Total cpu/real time for replay: 37.65/32.3677 Info:Filtering - Singleton removal: Total cpu/real time for purge: 120.45/122.525 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 307338/7128.44 12798988131721261133930320995997759922317625909 8150217738149232302278677099546104928649809380036317586270412359142814309612979240213456479 |
software ソフトウェア | cado-nfs-3.0.0 |
execution environment 実行環境 | Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | July 12, 2022 11:59:11 UTC 2022 年 7 月 12 日 (火) 20 時 59 分 11 秒 (日本時間) |
composite cofactor 合成数の残り | 666576066642609584394581455320264918565422509057667481673262692414603295244451251809452337007420289478108310292303771394858280620976791218697666015529120097<156> |
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level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | July 10, 2022 10:38:40 UTC 2022 年 7 月 10 日 (日) 19 時 38 分 40 秒 (日本時間) |
composite cofactor 合成数の残り | 66172293019490292349284763658477549271924365942835188477375717383214884648581919168508627408690223654988940823969624976579685775437118035686471419097836751<155> |
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level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | July 10, 2022 11:03:37 UTC 2022 年 7 月 10 日 (日) 20 時 3 分 37 秒 (日本時間) |
composite cofactor 合成数の残り | 306018423817721396396421230695799107121629574809640090557080017716132888539572685547626897490116325506741823230004613095996972329135338509409107<144> |
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level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | July 10, 2022 10:23:23 UTC 2022 年 7 月 10 日 (日) 19 時 23 分 23 秒 (日本時間) |
name 名前 | Bob Backstrom |
---|---|
date 日付 | July 11, 2022 04:04:15 UTC 2022 年 7 月 11 日 (月) 13 時 4 分 15 秒 (日本時間) |
composite number 合成数 | 5079119299543364876398516916985486701527759443395916011485053217277687196020903970255884543739492417097871507102045799880519293121375986439296546436727750880744062732524559152265753<181> |
prime factors 素因数 | 57494680450972445565799762626457694443590300504460025517163112945935047984631<77> 88340682297982201788515524140279150164569477149461492505961498484447542463292670584499364079648332414063<104> |
factorization results 素因数分解の結果 | Number: n N=5079119299543364876398516916985486701527759443395916011485053217277687196020903970255884543739492417097871507102045799880519293121375986439296546436727750880744062732524559152265753 ( 181 digits) SNFS difficulty: 188 digits. Divisors found: Sun Jul 10 17:41:56 2022 p77 factor: 57494680450972445565799762626457694443590300504460025517163112945935047984631 Sun Jul 10 17:41:56 2022 p104 factor: 88340682297982201788515524140279150164569477149461492505961498484447542463292670584499364079648332414063 Sun Jul 10 17:41:56 2022 elapsed time 00:38:49 (Msieve 1.54 - dependency 7) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.350). Factorization parameters were as follows: # # N = 41x10^187-32 = 45(186)2 # n: 5079119299543364876398516916985486701527759443395916011485053217277687196020903970255884543739492417097871507102045799880519293121375986439296546436727750880744062732524559152265753 m: 10000000000000000000000000000000000000 deg: 5 c5: 1025 c0: -8 skew: 0.38 # Murphy_E = 4.441e-11 type: snfs lss: 1 rlim: 9500000 alim: 9500000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 Factor base limits: 9500000/9500000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 54/54 Sieved special-q in [100000, 17550000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3044551 hash collisions in 28917353 relations (27640237 unique) Msieve: matrix is 1133219 x 1133444 (390.7 MB) Sieving start time : 2022/07/10 11:15:15 Sieving end time : 2022/07/10 17:02:09 Total sieving time: 5hrs 46min 54secs. Total relation processing time: 0hrs 21min 36sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 9min 54sec. Prototype def-par.txt line would be: snfs,188,5,0,0,0,0,0,0,0,0,9500000,9500000,28,28,54,54,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.116860] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved) [ 0.154123] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6398.87 BogoMIPS (lpj=12797740) [ 0.152024] smpboot: Total of 16 processors activated (102381.92 BogoMIPS) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間) |
name 名前 | Ignacio Santos |
---|---|
date 日付 | July 4, 2022 11:33:27 UTC 2022 年 7 月 4 日 (月) 20 時 33 分 27 秒 (日本時間) |
composite number 合成数 | 106126779627299516618876772748258167898928864547585167756315505062537848975284848077939018444471505794521183022893328853<120> |
prime factors 素因数 | 4387043960210962262501309944377073888017527611<46> 24190954225632181306742999557842027988100480546626247830502093584204555823<74> |
factorization results 素因数分解の結果 | Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2664565241 Step 1 took 17734ms Step 2 took 9454ms ********** Factor found in step 2: 4387043960210962262501309944377073888017527611 Found prime factor of 46 digits: 4387043960210962262501309944377073888017527611 Prime cofactor 24190954225632181306742999557842027988100480546626247830502093584204555823 has 74 digits |
software ソフトウェア | GMP-ECM |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2400 | ebina | July 1, 2022 23:53:06 UTC 2022 年 7 月 2 日 (土) 8 時 53 分 6 秒 (日本時間) |
name 名前 | Ignacio Santos |
---|---|
date 日付 | July 12, 2022 10:56:51 UTC 2022 年 7 月 12 日 (火) 19 時 56 分 51 秒 (日本時間) |
composite number 合成数 | 4509675789789183414146965476756266085457961992923251108407382390323560371466061259626744180714220136519638036054001290418962475554914981372359253870851929797351197942787<169> |
prime factors 素因数 | 41845428939505970295646622490854330007024097<44> 107769854535572241251385311557259813453180373068993431018097017008675395938254539561870431064832285222836216796992906155612771<126> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3300987932 Step 1 took 7234ms Step 2 took 3844ms ********** Factor found in step 2: 41845428939505970295646622490854330007024097 Found prime factor of 44 digits: 41845428939505970295646622490854330007024097 Prime cofactor 107769854535572241251385311557259813453180373068993431018097017008675395938254539561870431064832285222836216796992906155612771 has 126 digits |
software ソフトウェア | GMP-ECM |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間) |
name 名前 | Bob Backstrom |
---|---|
date 日付 | July 12, 2022 02:36:16 UTC 2022 年 7 月 12 日 (火) 11 時 36 分 16 秒 (日本時間) |
composite number 合成数 | 14236111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<191> |
prime factors 素因数 | 8804876223251520306560181372707773106434157<43> 67391524721224669690869362764136401153208593823477<50> 23991799949760696481088520946637454855018975496456575085213553736422485326242215107705568406734999<98> |
factorization results 素因数分解の結果 | Number: n N=14236111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 ( 191 digits) SNFS difficulty: 192 digits. Divisors found: Tue Jul 12 12:12:38 2022 found factor: 593374033666578134559604882843708004958090207654694124123620753295645667502252315478181303889 Tue Jul 12 12:15:44 2022 p43 factor: 8804876223251520306560181372707773106434157 Tue Jul 12 12:15:44 2022 p50 factor: 67391524721224669690869362764136401153208593823477 Tue Jul 12 12:15:44 2022 p98 factor: 23991799949760696481088520946637454855018975496456575085213553736422485326242215107705568406734999 Tue Jul 12 12:15:44 2022 elapsed time 00:48:33 (Msieve 1.54 - dependency 5) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.349). Factorization parameters were as follows: # # N = 41x10^191-32 = 45(190)2 # n: 14236111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 m: 100000000000000000000000000000000000000 deg: 5 c5: 205 c0: -16 skew: 0.60 # Murphy_E = 3.062e-11 type: snfs lss: 1 rlim: 11200000 alim: 11200000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 11200000/11200000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved special-q in [100000, 18400000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3148782 hash collisions in 28767297 relations (27336998 unique) Msieve: matrix is 1346952 x 1347177 (467.8 MB) Sieving start time : 2022/07/12 05:06:45 Sieving end time : 2022/07/12 11:26:16 Total sieving time: 6hrs 19min 31secs. Total relation processing time: 0hrs 32min 30sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 7min 45sec. Prototype def-par.txt line would be: snfs,192,5,0,0,0,0,0,0,0,0,11200000,11200000,28,28,55,55,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.116830] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved) [ 0.153517] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798712) [ 0.152024] smpboot: Total of 16 processors activated (102389.69 BogoMIPS) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2400 | ebina | July 1, 2022 20:18:28 UTC 2022 年 7 月 2 日 (土) 5 時 18 分 28 秒 (日本時間) |
name 名前 | Bob Backstrom |
---|---|
date 日付 | July 13, 2022 19:29:56 UTC 2022 年 7 月 14 日 (木) 4 時 29 分 56 秒 (日本時間) |
composite number 合成数 | 1844653866344231956621752025012027489318656247866300970476574241890886551994102066738917698330947467349580979326469509985679121522551658394099918722949154700138959423807<169> |
prime factors 素因数 | 2271801227992048786137999692270996240643781485659<49> 811978549714336263102806792530129745742933303301725239138193453361369692263199901956935984278805897657865191499042747373<120> |
factorization results 素因数分解の結果 | Number: n N=1844653866344231956621752025012027489318656247866300970476574241890886551994102066738917698330947467349580979326469509985679121522551658394099918722949154700138959423807 ( 169 digits) SNFS difficulty: 193 digits. Divisors found: Thu Jul 14 05:24:30 2022 p49 factor: 2271801227992048786137999692270996240643781485659 Thu Jul 14 05:24:30 2022 p120 factor: 811978549714336263102806792530129745742933303301725239138193453361369692263199901956935984278805897657865191499042747373 Thu Jul 14 05:24:30 2022 elapsed time 00:50:41 (Msieve 1.54 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.350). Factorization parameters were as follows: # # N = 41x10^192-32 = 45(191)2 # n: 1844653866344231956621752025012027489318656247866300970476574241890886551994102066738917698330947467349580979326469509985679121522551658394099918722949154700138959423807 m: 100000000000000000000000000000000000000 deg: 5 c5: 1025 c0: -8 skew: 0.38 # Murphy_E = 2.766e-11 type: snfs lss: 1 rlim: 11500000 alim: 11500000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 11500000/11500000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved special-q in [100000, 18550000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3172612 hash collisions in 28179078 relations (26658120 unique) Msieve: matrix is 1408924 x 1409150 (490.4 MB) Sieving start time : 2022/07/14 00:19:39 Sieving end time : 2022/07/14 04:33:20 Total sieving time: 4hrs 13min 41secs. Total relation processing time: 0hrs 36min 53sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 5min 57sec. Prototype def-par.txt line would be: snfs,193,5,0,0,0,0,0,0,0,0,11500000,11500000,28,28,55,55,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.118884] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved) [ 0.153519] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.06 BogoMIPS (lpj=12798120) [ 0.152037] smpboot: Total of 16 processors activated (102384.96 BogoMIPS) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | July 12, 2022 13:49:21 UTC 2022 年 7 月 12 日 (火) 22 時 49 分 21 秒 (日本時間) |
name 名前 | Ignacio Santos |
---|---|
date 日付 | July 19, 2022 10:02:38 UTC 2022 年 7 月 19 日 (火) 19 時 2 分 38 秒 (日本時間) |
composite number 合成数 | 23770867574978186460447780992990539333851700584100077161395702895045845074982360856704850333051886261245591605641631606376325347620529198417588419742408211055990527645542180789947905389999<188> |
prime factors 素因数 | 6646726536803647328345254301221082939<37> |
composite cofactor 合成数の残り | 3576326999968527187445894908920932471720597731498500403653826100945414571401103185502884029254123021119457863557011567766397162328207295707192559680541<151> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3547354489 Step 1 took 6000ms Step 2 took 3453ms ********** Factor found in step 2: 6646726536803647328345254301221082939 Found prime factor of 37 digits: 6646726536803647328345254301221082939 Composite cofactor 3576326999968527187445894908920932471720597731498500403653826100945414571401103185502884029254123021119457863557011567766397162328207295707192559680541 has 151 digits |
software ソフトウェア | GMP-ECM |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | July 20, 2022 09:01:45 UTC 2022 年 7 月 20 日 (水) 18 時 1 分 45 秒 (日本時間) |
composite cofactor 合成数の残り | 382270322177714715934275276202749595590236025529968626246477899476677702484274928936479848691396696221081262420717436855299480625403014484765669057503594199612955568663<168> |
---|
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 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 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間) |
name 名前 | Eric Jeancolas |
---|---|
date 日付 | July 6, 2022 14:19:12 UTC 2022 年 7 月 6 日 (水) 23 時 19 分 12 秒 (日本時間) |
composite number 合成数 | 1475569260120436343721350184250715196782437865825648215789855609879573680176993618547665798554176346432161865276243194740851<124> |
prime factors 素因数 | 36648571942387680971090881213125561496059401460763039463957<59> 40262667326848696279642021835826013602177101594501524544499735143<65> |
factorization results 素因数分解の結果 | 1475569260120436343721350184250715196782437865825648215789855609879573680176993618547665798554176346432161865276243194740851=36648571942387680971090881213125561496059401460763039463957*40262667326848696279642021835826013602177101594501524544499735143 cado polynomial n: 1475569260120436343721350184250715196782437865825648215789855609879573680176993618547665798554176346432161865276243194740851 skew: 258116.648 c0: -756670269251751976978256692152 c1: 45319797511044029055766274 c2: 86221021359912415383 c3: -1158771557060429 c4: -1133595486 c5: 2880 Y0: -1251931595722108269354305 Y1: 1350462766930477 # MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 3.352e-07 # f(x) = 2880*x^5-1133595486*x^4-1158771557060429*x^3+86221021359912415383*x^2+45319797511044029055766274*x-756670269251751976978256692152 # g(x) = 1350462766930477*x-1251931595722108269354305 cado parameters (extracts) tasks.lim0 = 2377918 tasks.lim1 = 9209388 tasks.lpb0 = 27 tasks.lpb1 = 27 tasks.sieve.mfb0 = 57 tasks.sieve.mfb1 = 53 tasks.I = 13 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 36648571942387680971090881213125561496059401460763039463957 40262667326848696279642021835826013602177101594501524544499735143 Info:Square Root: Total cpu/real time for sqrt: 233.34/69.5995 Info:Generate Free Relations: Total cpu/real time for freerel: 125.75/32.7802 Info:Filtering - Singleton removal: Total cpu/real time for purge: 58.2/63.9177 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 11640270 Info:Lattice Sieving: Average J: 3860.47 for 158615 special-q, max bucket fill -bkmult 1.0,1s:1.169090 Info:Lattice Sieving: Total time: 49192.6s Info:Generate Factor Base: Total cpu/real time for makefb: 8.55/2.27973 Info:Linear Algebra: Total cpu/real time for bwc: 7597.25/1952.48 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 4764.54, WCT time 1218.19, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (22272 iterations) Info:Linear Algebra: Lingen CPU time 122.09, WCT time 31.07 Info:Linear Algebra: Mksol: CPU time 2601.61, WCT time 664.09, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11264 iterations) Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 50.06/57.5505 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 57.5s Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 2419.57 Info:Polynomial Selection (root optimized): Rootsieve time: 2417.16 Info:Filtering - Merging: Merged matrix has 708186 rows and total weight 120765005 (170.5 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 139.8/40.6707 Info:Filtering - Merging: Total cpu/real time for replay: 26.03/21.5408 Info:Quadratic Characters: Total cpu/real time for characters: 26/10.3432 Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 19925.9 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20321/36.190/43.864/47.840/0.884 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15993/35.970/39.247/44.610/0.895 Info:Polynomial Selection (size optimized): Total time: 1982.42 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 124.77/108.178 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 96.80000000000001s Info:Square Root: Total cpu/real time for sqrt: 233.34/69.5995 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 104619/28426.1 Info:root: Cleaning up computation data in /tmp/cado.7i3j48vw 36648571942387680971090881213125561496059401460763039463957 40262667326848696279642021835826013602177101594501524544499735143 |
software ソフトウェア | cado-nfs-3.0.0 |
execution environment 実行環境 | Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | July 2, 2022 11:49:17 UTC 2022 年 7 月 2 日 (土) 20 時 49 分 17 秒 (日本時間) | |
45 | 11e6 | 4480 | Ignacio Santos | July 3, 2022 20:46:49 UTC 2022 年 7 月 4 日 (月) 5 時 46 分 49 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間) |
name 名前 | Eric Jeancolas |
---|---|
date 日付 | July 6, 2022 11:28:58 UTC 2022 年 7 月 6 日 (水) 20 時 28 分 58 秒 (日本時間) |
composite number 合成数 | 665227464252345769989921571593565435873646646585354016519722642103368316872925500286561665093170787913332443940405644529139<123> |
prime factors 素因数 | 6367219333121970430058476964404996731595036099877<49> 104476919900004750651257790121497055499877973230163832733473702170557790007<75> |
factorization results 素因数分解の結果 | 665227464252345769989921571593565435873646646585354016519722642103368316872925500286561665093170787913332443940405644529139=6367219333121970430058476964404996731595036099877*104476919900004750651257790121497055499877973230163832733473702170557790007 cado polynomial n: 665227464252345769989921571593565435873646646585354016519722642103368316872925500286561665093170787913332443940405644529139 skew: 76259.519 c0: -60455977617626764885944173188 c1: 460719350263635364486376 c2: 8546662768389782159 c3: -176793346778979 c4: 607603992 c5: 28320 Y0: -620664643395627126226465 Y1: 1478990577861963533 # MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 3.036e-07 # f(x) = 28320*x^5+607603992*x^4-176793346778979*x^3+8546662768389782159*x^2+460719350263635364486376*x-60455977617626764885944173188 # g(x) = 1478990577861963533*x-620664643395627126226465 cado parameters (extracts) tasks.lim0 = 2377918 tasks.lim1 = 9209388 tasks.lpb0 = 27 tasks.lpb1 = 27 tasks.sieve.mfb0 = 57 tasks.sieve.mfb1 = 53 tasks.I = 13 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 6367219333121970430058476964404996731595036099877 104476919900004750651257790121497055499877973230163832733473702170557790007 Info:Square Root: Total cpu/real time for sqrt: 479.04/142.076 Info:Filtering - Singleton removal: Total cpu/real time for purge: 54.37/61.2542 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 11620669 Info:Lattice Sieving: Average J: 3807.62 for 169238 special-q, max bucket fill -bkmult 1.0,1s:1.196190 Info:Lattice Sieving: Total time: 51885.8s Info:Linear Algebra: Total cpu/real time for bwc: 7952.52/2047.04 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 4994.02, WCT time 1278.21, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (23040 iterations) Info:Linear Algebra: Lingen CPU time 129.08, WCT time 32.87 Info:Linear Algebra: Mksol: CPU time 2717.79, WCT time 695.34, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11520 iterations) Info:Generate Factor Base: Total cpu/real time for makefb: 8.79/8.60333 Info:Generate Free Relations: Total cpu/real time for freerel: 128.09/115.76 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 49.45/54.8036 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 54.7s Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 2453.21 Info:Polynomial Selection (root optimized): Rootsieve time: 2450.72 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 122.57/105.126 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 95.0s Info:Filtering - Merging: Merged matrix has 729888 rows and total weight 124715068 (170.9 entries per row on average)Info:Filtering - Merging: Total cpu/real time for merge: 144.63/41.9685 Info:Filtering - Merging: Total cpu/real time for replay: 26.75/22.1968 Info:Quadratic Characters: Total cpu/real time for characters: 27.03/10.7591 Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 19925.9 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20068/36.310/43.737/47.610/0.891 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15785/35.420/39.117/44.450/0.893 Info:Polynomial Selection (size optimized): Total time: 1995.84 Info:Square Root: Total cpu/real time for sqrt: 479.04/142.076 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 107675/31088.9 Info:root: Cleaning up computation data in /tmp/cado.i8hng2r9 6367219333121970430058476964404996731595036099877 104476919900004750651257790121497055499877973230163832733473702170557790007 |
software ソフトウェア | cado-nfs-3.0.0 |
execution environment 実行環境 | Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2400 | ebina | July 2, 2022 01:02:44 UTC 2022 年 7 月 2 日 (土) 10 時 2 分 44 秒 (日本時間) | |
45 | 11e6 | 4480 | Ignacio Santos | July 3, 2022 20:47:03 UTC 2022 年 7 月 4 日 (月) 5 時 47 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 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 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 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 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 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 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 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 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 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 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 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 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 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間) |
composite cofactor 合成数の残り | 50483703969889004003924630676783795140936795741842302347550900643055916385896122184242966990555450064988117822205453432858711451472235270627786940425057<152> |
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level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 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 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 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 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間) |
composite cofactor 合成数の残り | 151966661376531071170604712132958245692459978466771658104944036813730036731879281864969286235001387640921347082802723842186733000506961830669058686696497548194232919<165> |
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level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 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 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 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 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間) |
name 名前 | ebina |
---|---|
date 日付 | July 28, 2022 12:59:57 UTC 2022 年 7 月 28 日 (木) 21 時 59 分 57 秒 (日本時間) |
composite number 合成数 | 11074809822442486931228601222424891323791501030688190819116514802211655638462254661876475902609306247403778374933655494179883790733578796699809107<146> |
prime factors 素因数 | 1905058591151233463296039863329778423274080522188569441<55> 5813369664263155937486831682331077286065026684174384651236420784656060156454765092941906227<91> |
factorization results 素因数分解の結果 | Number: 45552_227 N = 11074809822442486931228601222424891323791501030688190819116514802211655638462254661876475902609306247403778374933655494179883790733578796699809107 (146 digits) Divisors found: r1=1905058591151233463296039863329778423274080522188569441 (pp55) r2=5813369664263155937486831682331077286065026684174384651236420784656060156454765092941906227 (pp91) Version: Msieve v. 1.53 (SVN unknown) Total time: 89.12 hours. Factorization parameters were as follows: n: 11074809822442486931228601222424891323791501030688190819116514802211655638462254661876475902609306247403778374933655494179883790733578796699809107 # norm 4.750021e-14 alpha -7.554288 e 9.614e-12 rroots 1 skew: 20236179.28 c0: -59153398314869863849545119494015471629 c1: -35457701144224968057728284523667 c2: -7244893362996341783736279 c3: -44925454955576533 c4: -1709557252 c5: 240 Y0: -34105549092198653005381987970 Y1: 2142784853122727 type: gnfs Factor base limits: 16800000/16800000 Large primes per side: 3 Large prime bits: 29/29 Sieved algebraic special-q in [0, 0) Total raw relations: 41066001 Relations: 5800052 relations Pruned matrix : 3368366 x 3368604 Polynomial selection time: 0.80 hours. Total sieving time: 80.87 hours. Total relation processing time: 0.40 hours. Matrix solve time: 6.59 hours. time per square root: 0.45 hours. Prototype def-par.txt line would be: gnfs,145,5,65,2000,1e-05,0.28,250,20,50000,3600,16800000,16800000,29,29,58,58,2.6,2.6,100000 total time: 89.12 hours. Intel64 Family 6 Model 42 Stepping 7, GenuineIntel processors: 8, speed: 2.19GHz Windows-7-6.1.7601-SP1 Running Python 3.2 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | June 29, 2022 17:16:25 UTC 2022 年 6 月 30 日 (木) 2 時 16 分 25 秒 (日本時間) | |
45 | 11e6 | 4480 | Ignacio Santos | June 30, 2022 17:21:55 UTC 2022 年 7 月 1 日 (金) 2 時 21 分 55 秒 (日本時間) | |
50 | 43e6 | 6454 | Ignacio Santos | July 11, 2022 10:23:38 UTC 2022 年 7 月 11 日 (月) 19 時 23 分 38 秒 (日本時間) |
composite cofactor 合成数の残り | 90988395498992024602673465034269391476667718163319748110624751681313230257789480173429769007168964310402003326773712874718018681876493629565792370365170286579<158> |
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level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 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 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間) |
composite cofactor 合成数の残り | 631046156084391221309423790520999297841315385716034404098185151610487832899659222936655919339990140030878322536448462514752148177022090137682860220600179<153> |
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level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | June 29, 2022 18:11:36 UTC 2022 年 6 月 30 日 (木) 3 時 11 分 36 秒 (日本時間) | |
45 | 11e6 | 4480 | Ignacio Santos | July 1, 2022 10:52:15 UTC 2022 年 7 月 1 日 (金) 19 時 52 分 15 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 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 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間) |
name 名前 | Ignacio Santos |
---|---|
date 日付 | July 4, 2022 10:39:33 UTC 2022 年 7 月 4 日 (月) 19 時 39 分 33 秒 (日本時間) |
composite number 合成数 | 22495622796294371458952638208103173488221496097929591037706887594360204124721125055636602645008914476193729060964414764189<122> |
prime factors 素因数 | 584901190559805837073909004878885017324343<42> 38460552242617133017714574739088714062243103586470407964031640726660566251090123<80> |
factorization results 素因数分解の結果 | Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1960841522 Step 1 took 17625ms Step 2 took 9234ms ********** Factor found in step 2: 584901190559805837073909004878885017324343 Found prime factor of 42 digits: 584901190559805837073909004878885017324343 Prime cofactor 38460552242617133017714574739088714062243103586470407964031640726660566251090123 has 80 digits |
software ソフトウェア | GMP-ECM |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | July 2, 2022 11:05:13 UTC 2022 年 7 月 2 日 (土) 20 時 5 分 13 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 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 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 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 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 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 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 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 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 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 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 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 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 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 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 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 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 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 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 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 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 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 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 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 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 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 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 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 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 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 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2400 | ebina | July 1, 2022 22:43:53 UTC 2022 年 7 月 2 日 (土) 7 時 43 分 53 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 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 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 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 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 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 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 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 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 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 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 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 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 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 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 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 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 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 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 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 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 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 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 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 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 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 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 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | June 29, 2022 20:15:19 UTC 2022 年 6 月 30 日 (木) 5 時 15 分 19 秒 (日本時間) | |
45 | 11e6 | 4480 | Ignacio Santos | July 2, 2022 17:48:34 UTC 2022 年 7 月 3 日 (日) 2 時 48 分 34 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 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 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 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 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 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 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 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 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 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 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 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 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 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 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 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 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 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 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 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 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 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 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 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 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 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 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 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 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 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 | 1000 | Eric Jeancolas | June 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 1792 | Dmitry Domanov | July 1, 2022 07:38:03 UTC 2022 年 7 月 1 日 (金) 16 時 38 分 3 秒 (日本時間) | |
45 | 11e6 | 3584 | Dmitry Domanov | July 9, 2022 14:15:13 UTC 2022 年 7 月 9 日 (土) 23 時 15 分 13 秒 (日本時間) | |
50 | 43e6 | 130 / 6675 | Dmitry Domanov | July 9, 2022 14:15:13 UTC 2022 年 7 月 9 日 (土) 23 時 15 分 13 秒 (日本時間) |