name 名前 | Dmitry Domanov |
---|---|
date 日付 | June 29, 2022 23:11:42 UTC 2022 年 6 月 30 日 (木) 8 時 11 分 42 秒 (日本時間) |
composite number 合成数 | 2616636817475273689528584049332610951972299672990672119846140185309065487472331442662546532286747115912153<106> |
prime factors 素因数 | 10641378448055289247325747547413484849409243729<47> 245892656693688380475222957626225320394882509664502021832457<60> |
factorization results 素因数分解の結果 | N=2616636817475273689528584049332610951972299672990672119846140185309065487472331442662546532286747115912153 ( 106 digits) SNFS difficulty: 119 digits. Divisors found: p47 factor: 10641378448055289247325747547413484849409243729 p60 factor: 245892656693688380475222957626225320394882509664502021832457 Version: Msieve v. 1.54 (SVN 1043M) Total time: 0.53 hours. Scaled time: 0.00 units (timescale=0.000). Factorization parameters were as follows: n: 2616636817475273689528584049332610951972299672990672119846140185309065487472331442662546532286747115912153 m: 100000000000000000000000000000 deg: 4 c4: 1075 c0: -13 skew: 0.33 # Murphy_E = 4.199e-08 type: snfs lss: 1 rlim: 670000 alim: 670000 lpbr: 25 lpba: 25 mfbr: 45 mfba: 45 rlambda: 2.2 alambda: 2.2 Factor base limits: 670000/670000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 45/45 Sieved rational special-q in [335000, 585001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 58540 x 58766 Total sieving time: 0.52 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,119.000,4,0,0,0,0,0,0,0,0,670000,670000,25,25,45,45,2.2,2.2,50000 total time: 0.53 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 | Bob Backstrom |
---|---|
date 日付 | June 30, 2022 05:51:45 UTC 2022 年 6 月 30 日 (木) 14 時 51 分 45 秒 (日本時間) |
composite number 合成数 | 5871100798034848384979446652128262381739117743849116631276607701495728952241282224475491724425560961342396379379893059<118> |
prime factors 素因数 | 890739027668762639093471286521327462740261<42> 6591269289502966551790812374863586439248082016099864157576086858531228482119<76> |
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 5871100798034848384979446652128262381739117743849116631276607701495728952241282224475491724425560961342396379379893059 (118 digits) Using B1=15690000, B2=46848203230, polynomial Dickson(12), sigma=1:3097296381 Step 1 took 23732ms Step 2 took 10253ms ********** Factor found in step 2: 890739027668762639093471286521327462740261 Found prime factor of 42 digits: 890739027668762639093471286521327462740261 Prime cofactor 6591269289502966551790812374863586439248082016099864157576086858531228482119 has 76 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 | June 29, 2022 16:17:48 UTC 2022 年 6 月 30 日 (木) 1 時 17 分 48 秒 (日本時間) |
composite number 合成数 | 92887815644558398170565258610620273554584344107349146775903852693265688735333072569276177<89> |
prime factors 素因数 | 7699817304882615342966336283531562401<37> 12063638910712373621269601166683355007456460767851377<53> |
factorization results 素因数分解の結果 | Wed Jun 29 17:10:58 2022 Msieve v. 1.53 (SVN 1005) Wed Jun 29 17:10:58 2022 random seeds: 4518c270 d7ce9402 Wed Jun 29 17:10:58 2022 factoring 92887815644558398170565258610620273554584344107349146775903852693265688735333072569276177 (89 digits) Wed Jun 29 17:10:58 2022 searching for 15-digit factors Wed Jun 29 17:10:59 2022 commencing quadratic sieve (89-digit input) Wed Jun 29 17:10:59 2022 using multiplier of 17 Wed Jun 29 17:10:59 2022 using generic 32kb sieve core Wed Jun 29 17:10:59 2022 sieve interval: 33 blocks of size 32768 Wed Jun 29 17:10:59 2022 processing polynomials in batches of 7 Wed Jun 29 17:10:59 2022 using a sieve bound of 1565671 (59210 primes) Wed Jun 29 17:10:59 2022 using large prime bound of 125253680 (26 bits) Wed Jun 29 17:10:59 2022 using double large prime bound of 376723614530800 (42-49 bits) Wed Jun 29 17:10:59 2022 using trial factoring cutoff of 49 bits Wed Jun 29 17:10:59 2022 polynomial 'A' values have 12 factors Wed Jun 29 18:06:33 2022 59779 relations (16173 full + 43606 combined from 628331 partial), need 59306 Wed Jun 29 18:06:34 2022 begin with 644504 relations Wed Jun 29 18:06:34 2022 reduce to 144270 relations in 10 passes Wed Jun 29 18:06:34 2022 attempting to read 144270 relations Wed Jun 29 18:06:34 2022 recovered 144270 relations Wed Jun 29 18:06:34 2022 recovered 124084 polynomials Wed Jun 29 18:06:34 2022 attempting to build 59779 cycles Wed Jun 29 18:06:34 2022 found 59779 cycles in 6 passes Wed Jun 29 18:06:34 2022 distribution of cycle lengths: Wed Jun 29 18:06:34 2022 length 1 : 16173 Wed Jun 29 18:06:34 2022 length 2 : 11583 Wed Jun 29 18:06:34 2022 length 3 : 10718 Wed Jun 29 18:06:34 2022 length 4 : 7995 Wed Jun 29 18:06:34 2022 length 5 : 5553 Wed Jun 29 18:06:34 2022 length 6 : 3437 Wed Jun 29 18:06:34 2022 length 7 : 1985 Wed Jun 29 18:06:34 2022 length 9+: 2335 Wed Jun 29 18:06:34 2022 largest cycle: 16 relations Wed Jun 29 18:06:34 2022 matrix is 59210 x 59779 (15.4 MB) with weight 3546774 (59.33/col) Wed Jun 29 18:06:34 2022 sparse part has weight 3546774 (59.33/col) Wed Jun 29 18:06:35 2022 filtering completed in 3 passes Wed Jun 29 18:06:35 2022 matrix is 55108 x 55172 (14.2 MB) with weight 3268984 (59.25/col) Wed Jun 29 18:06:35 2022 sparse part has weight 3268984 (59.25/col) Wed Jun 29 18:06:35 2022 saving the first 48 matrix rows for later Wed Jun 29 18:06:35 2022 matrix includes 64 packed rows Wed Jun 29 18:06:35 2022 matrix is 55060 x 55172 (9.4 MB) with weight 2578648 (46.74/col) Wed Jun 29 18:06:35 2022 sparse part has weight 1905787 (34.54/col) Wed Jun 29 18:06:35 2022 using block size 8192 and superblock size 1179648 for processor cache size 12288 kB Wed Jun 29 18:06:35 2022 commencing Lanczos iteration Wed Jun 29 18:06:35 2022 memory use: 5.8 MB Wed Jun 29 18:06:39 2022 lanczos halted after 872 iterations (dim = 55057) Wed Jun 29 18:06:39 2022 recovered 15 nontrivial dependencies Wed Jun 29 18:06:39 2022 p37 factor: 7699817304882615342966336283531562401 Wed Jun 29 18:06:39 2022 p53 factor: 12063638910712373621269601166683355007456460767851377 Wed Jun 29 18:06:39 2022 elapsed time 00:55:41 |
software ソフトウェア | Msieve v. 1.53 |
execution environment 実行環境 | Windows 10 21H2 Intel(R) Core(TM) i7-9750H CPU @ 2.60GHz 2.59 GHz |
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 30, 2022 22:29:02 UTC 2022 年 7 月 1 日 (金) 7 時 29 分 2 秒 (日本時間) |
composite number 合成数 | 5862205344296775237027409838639345468789901757854895199400184810272738299817701557261033858075192338908597<106> |
prime factors 素因数 | 509459770911111604678118418917317547526580552742917<51> 11506709025941104460197163777553514385782635775215597041<56> |
factorization results 素因数分解の結果 | N=5862205344296775237027409838639345468789901757854895199400184810272738299817701557261033858075192338908597 ( 106 digits) SNFS difficulty: 132 digits. Divisors found: p51 factor: 509459770911111604678118418917317547526580552742917 p56 factor: 11506709025941104460197163777553514385782635775215597041 Version: Msieve v. 1.54 (SVN 1043M) Total time: 1.63 hours. Scaled time: 0.00 units (timescale=0.000). Factorization parameters were as follows: n: 5862205344296775237027409838639345468789901757854895199400184810272738299817701557261033858075192338908597 m: 500000000000000000000000000000000 deg: 4 c4: 86 c0: -65 skew: 0.93 # Murphy_E = 9.589e-09 type: snfs lss: 1 rlim: 1140000 alim: 1140000 lpbr: 26 lpba: 26 mfbr: 47 mfba: 47 rlambda: 2.3 alambda: 2.3 Factor base limits: 1140000/1140000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 47/47 Sieved rational special-q in [570000, 1270001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 174819 x 175048 Total sieving time: 1.57 hours. Total relation processing time: 0.01 hours. Matrix solve time: 0.04 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,132.000,4,0,0,0,0,0,0,0,0,1140000,1140000,26,26,47,47,2.3,2.3,100000 total time: 1.63 hours. --------- CPU info (if available) ---------- |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 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 11:01:23 UTC 2022 年 7 月 4 日 (月) 20 時 1 分 23 秒 (日本時間) |
composite number 合成数 | 175530419141653167234078508482626468108595761042458709779698624606250653837881242131741286309561686722693254804466230295857<123> |
prime factors 素因数 | 1737009602679547465331750686354192942647256889<46> 101053223235424985014470798274679964631925437783841571855767700788078353206713<78> |
factorization results 素因数分解の結果 | 175530419141653167234078508482626468108595761042458709779698624606250653837881242131741286309561686722693254804466230295857=1737009602679547465331750686354192942647256889*101053223235424985014470798274679964631925437783841571855767700788078353206713 cado polynomial n: 175530419141653167234078508482626468108595761042458709779698624606250653837881242131741286309561686722693254804466230295857 skew: 0.59 type: snfs c0: -26 c4: 215 Y0: 1000000000000000000000000000000000 Y1: -1 # f(x) = 215*x^4-26 # g(x) = -x+1000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 1210000 tasks.lim1 = 1210000 tasks.lpb0 = 26 tasks.lpb1 = 26 tasks.sieve.mfb0 = 47 tasks.sieve.mfb1 = 47 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: 1737009602679547465331750686354192942647256889 101053223235424985014470798274679964631925437783841571855767700788078353206713 Info:Square Root: Total cpu/real time for sqrt: 14.73/4.83321 Info:Quadratic Characters: Total cpu/real time for characters: 3.3/1.29101 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 47.41/47.5145 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 36.3s Info:Square Root: Total cpu/real time for sqrt: 14.73/4.83321 Info:Linear Algebra: Total cpu/real time for bwc: 156.04/42.54 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 88.89, WCT time 23.69, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3392 iterations) Info:Linear Algebra: Lingen CPU time 12.39, WCT time 3.18 Info:Linear Algebra: Mksol: CPU time 48.63, WCT time 13.11, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (1664 iterations) Info:Filtering - Singleton removal: Total cpu/real time for purge: 53.53/45.6574 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 6126114 Info:Lattice Sieving: Average J: 1894.13 for 64676 special-q, max bucket fill -bkmult 1.0,1s:1.311820 Info:Lattice Sieving: Total time: 6319.02s Info:Generate Free Relations: Total cpu/real time for freerel: 36.36/11.0851 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.28/23.0511 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 107109 rows and total weight 18268218 (170.6 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 21.43/5.95512 Info:Filtering - Merging: Total cpu/real time for replay: 3.26/2.70469 Info:Generate Factor Base: Total cpu/real time for makefb: 0.63/0.335613 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 11731.8/3442.3 Info:root: Cleaning up computation data in /tmp/cado._71cnvbx 1737009602679547465331750686354192942647256889 101053223235424985014470798274679964631925437783841571855767700788078353206713 |
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 4, 2022 17:03:33 UTC 2022 年 7 月 5 日 (火) 2 時 3 分 33 秒 (日本時間) |
composite number 合成数 | 400140602977940799590376669328647778552594773530532477381131771627734536844224199318846398743983629229605001<108> |
prime factors 素因数 | 3841790311608813991568987136225211375508764051<46> 104154722283730062584370872604719158863985439901822316169118451<63> |
factorization results 素因数分解の結果 | 400140602977940799590376669328647778552594773530532477381131771627734536844224199318846398743983629229605001=3841790311608813991568987136225211375508764051*104154722283730062584370872604719158863985439901822316169118451 cado polynomial n: 400140602977940799590376669328647778552594773530532477381131771627734536844224199318846398743983629229605001 skew: 0.33 type: snfs c0: -13 c4: 1075 Y0: 10000000000000000000000000000000000 Y1: -1 # f(x) = 1075*x^4-13 # g(x) = -x+10000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 1450000 tasks.lim1 = 1450000 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: 3841790311608813991568987136225211375508764051 104154722283730062584370872604719158863985439901822316169118451 Info:Square Root: Total cpu/real time for sqrt: 25.66/8.06518 Info:Filtering - Singleton removal: Total cpu/real time for purge: 43.01/39.0871 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 6040361 Info:Lattice Sieving: Average J: 1896.12 for 97387 special-q, max bucket fill -bkmult 1.0,1s:1.306490 Info:Lattice Sieving: Total time: 8651.11s Info:Linear Algebra: Total cpu/real time for bwc: 336.61/88.61 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 194.99, WCT time 50.29, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4992 iterations) Info:Linear Algebra: Lingen CPU time 19.94, WCT time 5.12 Info:Linear Algebra: Mksol: CPU time 108.37, WCT time 28.02, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (2560 iterations) Info:Generate Free Relations: Total cpu/real time for freerel: 36.52/11.2432 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.32/22.4332 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 22.3s Info:Filtering - Merging: Merged matrix has 158925 rows and total weight 27122543 (170.7 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 32.2/8.93715 Info:Filtering - Merging: Total cpu/real time for replay: 4.91/4.05512 Info:Generate Factor Base: Total cpu/real time for makefb: 0.75/0.409213 Info:Quadratic Characters: Total cpu/real time for characters: 4.95/1.9351 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 48.42/48.6439 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 37.3s Info:Square Root: Total cpu/real time for sqrt: 25.66/8.06518 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 16135.5/4648.55 Info:root: Cleaning up computation data in /tmp/cado.or7pr7yt 3841790311608813991568987136225211375508764051 104154722283730062584370872604719158863985439901822316169118451 |
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 | June 29, 2022 15:29:51 UTC 2022 年 6 月 30 日 (木) 0 時 29 分 51 秒 (日本時間) |
composite number 合成数 | 4103964018246687633781286722074860922890217111721457603732001651899553238348937535763<85> |
prime factors 素因数 | 62292952461959618896466484310821940320481<41> 65881674508089043295996331082438520203588723<44> |
factorization results 素因数分解の結果 | Wed Jun 29 17:00:16 2022 Msieve v. 1.53 (SVN 1005) Wed Jun 29 17:00:16 2022 random seeds: dce9fbc8 b1bd47ba Wed Jun 29 17:00:16 2022 factoring 4103964018246687633781286722074860922890217111721457603732001651899553238348937535763 (85 digits) Wed Jun 29 17:00:16 2022 searching for 15-digit factors Wed Jun 29 17:00:17 2022 commencing quadratic sieve (85-digit input) Wed Jun 29 17:00:17 2022 using multiplier of 3 Wed Jun 29 17:00:17 2022 using generic 32kb sieve core Wed Jun 29 17:00:17 2022 sieve interval: 12 blocks of size 32768 Wed Jun 29 17:00:17 2022 processing polynomials in batches of 17 Wed Jun 29 17:00:17 2022 using a sieve bound of 1434241 (54407 primes) Wed Jun 29 17:00:17 2022 using large prime bound of 116173521 (26 bits) Wed Jun 29 17:00:17 2022 using double large prime bound of 328997602795950 (41-49 bits) Wed Jun 29 17:00:17 2022 using trial factoring cutoff of 49 bits Wed Jun 29 17:00:17 2022 polynomial 'A' values have 11 factors Wed Jun 29 17:25:59 2022 54796 relations (15497 full + 39299 combined from 576243 partial), need 54503 Wed Jun 29 17:26:00 2022 begin with 591740 relations Wed Jun 29 17:26:00 2022 reduce to 130297 relations in 10 passes Wed Jun 29 17:26:00 2022 attempting to read 130297 relations Wed Jun 29 17:26:01 2022 recovered 130297 relations Wed Jun 29 17:26:01 2022 recovered 111809 polynomials Wed Jun 29 17:26:01 2022 attempting to build 54796 cycles Wed Jun 29 17:26:01 2022 found 54796 cycles in 5 passes Wed Jun 29 17:26:01 2022 distribution of cycle lengths: Wed Jun 29 17:26:01 2022 length 1 : 15497 Wed Jun 29 17:26:01 2022 length 2 : 10951 Wed Jun 29 17:26:01 2022 length 3 : 9843 Wed Jun 29 17:26:01 2022 length 4 : 7025 Wed Jun 29 17:26:01 2022 length 5 : 4824 Wed Jun 29 17:26:01 2022 length 6 : 2945 Wed Jun 29 17:26:01 2022 length 7 : 1741 Wed Jun 29 17:26:01 2022 length 9+: 1970 Wed Jun 29 17:26:01 2022 largest cycle: 17 relations Wed Jun 29 17:26:01 2022 matrix is 54407 x 54796 (12.5 MB) with weight 2845916 (51.94/col) Wed Jun 29 17:26:01 2022 sparse part has weight 2845916 (51.94/col) Wed Jun 29 17:26:02 2022 filtering completed in 3 passes Wed Jun 29 17:26:02 2022 matrix is 49688 x 49751 (11.4 MB) with weight 2595376 (52.17/col) Wed Jun 29 17:26:02 2022 sparse part has weight 2595376 (52.17/col) Wed Jun 29 17:26:02 2022 saving the first 48 matrix rows for later Wed Jun 29 17:26:02 2022 matrix includes 64 packed rows Wed Jun 29 17:26:02 2022 matrix is 49640 x 49751 (6.6 MB) with weight 1896913 (38.13/col) Wed Jun 29 17:26:02 2022 sparse part has weight 1224334 (24.61/col) Wed Jun 29 17:26:02 2022 using block size 8192 and superblock size 1179648 for processor cache size 12288 kB Wed Jun 29 17:26:02 2022 commencing Lanczos iteration Wed Jun 29 17:26:02 2022 memory use: 4.2 MB Wed Jun 29 17:26:11 2022 lanczos halted after 787 iterations (dim = 49639) Wed Jun 29 17:26:11 2022 recovered 17 nontrivial dependencies Wed Jun 29 17:26:12 2022 p41 factor: 62292952461959618896466484310821940320481 Wed Jun 29 17:26:12 2022 p44 factor: 65881674508089043295996331082438520203588723 Wed Jun 29 17:26:12 2022 elapsed time 00:25:56 |
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 | Eric Jeancolas |
---|---|
date 日付 | July 5, 2022 03:39:27 UTC 2022 年 7 月 5 日 (火) 12 時 39 分 27 秒 (日本時間) |
composite number 合成数 | 175057686804493877651955093622737640595314811656376600307883223113386635912725636179815329503724746182612991781547289125444059<126> |
prime factors 素因数 | 23908223863968498948481422279996616682691994100049572792440447<62> 7322069920397518432477572191607685882489155648045616500531308197<64> |
factorization results 素因数分解の結果 | 175057686804493877651955093622737640595314811656376600307883223113386635912725636179815329503724746182612991781547289125444059=23908223863968498948481422279996616682691994100049572792440447*7322069920397518432477572191607685882489155648045616500531308197 cado polynomial n: 175057686804493877651955093622737640595314811656376600307883223113386635912725636179815329503724746182612991781547289125444059 skew: 0.93 type: snfs c0: -65 c4: 86 Y0: 500000000000000000000000000000000000 Y1: -1 # f(x) = 86*x^4-65 # g(x) = -x+500000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 1810000 tasks.lim1 = 1810000 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: 23908223863968498948481422279996616682691994100049572792440447 7322069920397518432477572191607685882489155648045616500531308197 Info:Square Root: Total cpu/real time for sqrt: 68.64/21.8381 Info:Filtering - Singleton removal: Total cpu/real time for purge: 35.12/33.7207 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 6056944 Info:Lattice Sieving: Average J: 1896.33 for 142470 special-q, max bucket fill -bkmult 1.0,1s:1.314460 Info:Lattice Sieving: Total time: 20632s Info:Linear Algebra: Total cpu/real time for bwc: 828.63/214.94 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 500.1, WCT time 127.88, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7552 iterations) Info:Linear Algebra: Lingen CPU time 32.84, WCT time 8.4 Info:Linear Algebra: Mksol: CPU time 274.58, WCT time 70.29, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3840 iterations) Info:Generate Free Relations: Total cpu/real time for freerel: 36.6/25.9291 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.76/23.1203 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 23.1s Info:Filtering - Merging: Merged matrix has 240686 rows and total weight 40950643 (170.1 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 48.66/13.5665 Info:Filtering - Merging: Total cpu/real time for replay: 7.58/6.32854 Info:Generate Factor Base: Total cpu/real time for makefb: 0.92/1.21107 Info:Quadratic Characters: Total cpu/real time for characters: 7.79/3.04414 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 49.53/47.4722 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 36.5s Info:Square Root: Total cpu/real time for sqrt: 68.64/21.8381 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 23180.3/10813.9 Info:root: Cleaning up computation data in /tmp/cado.0s3489gv 23908223863968498948481422279996616682691994100049572792440447 7322069920397518432477572191607685882489155648045616500531308197 |
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 07:31:00 UTC 2022 年 7 月 5 日 (火) 16 時 31 分 0 秒 (日本時間) |
composite number 合成数 | 14963324708300713184436260118850105617256550821720120836635662952669059718241406830422487092241855118313984204401<113> |
prime factors 素因数 | 269061075555642321539967712514230004406624323174805353<54> 55613115637034128789546895275337298420520566231323302927817<59> |
factorization results 素因数分解の結果 | 14963324708300713184436260118850105617256550821720120836635662952669059718241406830422487092241855118313984204401=269061075555642321539967712514230004406624323174805353*55613115637034128789546895275337298420520566231323302927817 cado polynomial n: 14963324708300713184436260118850105617256550821720120836635662952669059718241406830422487092241855118313984204401 skew: 1.05 type: snfs c0: -52 c4: 43 Y0: 1000000000000000000000000000000000000 Y1: -1 # f(x) = 43*x^4-52 # 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: 269061075555642321539967712514230004406624323174805353 55613115637034128789546895275337298420520566231323302927817 Info:Square Root: Total cpu/real time for sqrt: 45.35/21.1219 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 6059379 Info:Lattice Sieving: Average J: 1896.29 for 172402 special-q, max bucket fill -bkmult 1.0,1s:1.308670 Info:Lattice Sieving: Total time: 22800.7s Info:Generate Free Relations: Total cpu/real time for freerel: 36.38/11.2945 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 23.02/39.4068 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 39.3s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 50.96/77.2719 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 71.8s Info:Filtering - Merging: Merged matrix has 269578 rows and total weight 45874543 (170.2 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 56.79/44.4232 Info:Filtering - Merging: Total cpu/real time for replay: 9.44/10.3085 Info:Linear Algebra: Total cpu/real time for bwc: 1151.63/1066.88 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 577.79, WCT time 564.13, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (8448 iterations) Info:Linear Algebra: Lingen CPU time 227.63, WCT time 198.24 Info:Linear Algebra: Mksol: CPU time 322.24, WCT time 283.08, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (4224 iterations) Info:Generate Factor Base: Total cpu/real time for makefb: 0.95/0.537938 Info:Quadratic Characters: Total cpu/real time for characters: 8.92/4.84188 Info:Square Root: Total cpu/real time for sqrt: 45.35/21.1219 Info:Filtering - Singleton removal: Total cpu/real time for purge: 33.8/50.1552 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 27709/12875.7 Info:root: Cleaning up computation data in /tmp/cado.mb_04y_c 269061075555642321539967712514230004406624323174805353 55613115637034128789546895275337298420520566231323302927817 |
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 2, 2022 05:11:37 UTC 2022 年 7 月 2 日 (土) 14 時 11 分 37 秒 (日本時間) |
composite number 合成数 | 12641471894666076807567998637743382957624326844973202228859037152611534468995628104719688931111568585181<104> |
prime factors 素因数 | 247189212794865728843532517020662658896259072613<48> 51140872013524402112031128668346654875225144915686784537<56> |
factorization results 素因数分解の結果 | 12641471894666076807567998637743382957624326844973202228859037152611534468995628104719688931111568585181=247189212794865728843532517020662658896259072613*51140872013524402112031128668346654875225144915686784537 cado polynomial n: 12641471894666076807567998637743382957624326844973202228859037152611534468995628104719688931111568585181 skew: 39005.892 c0: -995228062431289621257576 c1: 5384571341156414761937 c2: 11062242145468890 c3: -4070087669951 c4: -6670368 c5: 720 Y0: -160163660307072572118 Y1: 7864465753243 # MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 4.182e-06 # f(x) = 720*x^5-6670368*x^4-4070087669951*x^3+11062242145468890*x^2+5384571341156414761937*x-995228062431289621257576 # g(x) = 7864465753243*x-160163660307072572118 cado parameters (extracts) tasks.lim0 = 1000000 tasks.lim1 = 1600000 tasks.lpb0 = 25 tasks.lpb1 = 26 tasks.sieve.mfb0 = 50 tasks.sieve.mfb1 = 52 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 247189212794865728843532517020662658896259072613 51140872013524402112031128668346654875225144915686784537 Info:Square Root: Total cpu/real time for sqrt: 46.93/14.6396 Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 9952.64 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 12665/30.600/36.168/41.410/1.036 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 8685/28.980/32.295/36.860/0.793 Info:Polynomial Selection (size optimized): Total time: 527.4 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 38.71/37.8403 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 29.6s Info:Quadratic Characters: Total cpu/real time for characters: 6.88/2.65461 Info:Square Root: Total cpu/real time for sqrt: 46.93/14.6396 Info:Linear Algebra: Total cpu/real time for bwc: 455.96/119.1 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 267.87, WCT time 68.89, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6016 iterations) Info:Linear Algebra: Lingen CPU time 24.64, WCT time 6.31 Info:Linear Algebra: Mksol: CPU time 149.09, WCT time 38.43, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3072 iterations) Info:Filtering - Singleton removal: Total cpu/real time for purge: 17.68/19.3933 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 4669902 Info:Lattice Sieving: Average J: 1957.83 for 35074 special-q, max bucket fill -bkmult 1.0,1s:1.309610 Info:Lattice Sieving: Total time: 3671.59s Info:Generate Factor Base: Total cpu/real time for makefb: 1.52/0.422288 Info:Generate Free Relations: Total cpu/real time for freerel: 61.75/15.8241 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 17.74/18.0709 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 17.9s Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 147 Info:Polynomial Selection (root optimized): Rootsieve time: 146.42 Info:Filtering - Merging: Merged matrix has 190365 rows and total weight 27867650 (146.4 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 24.88/7.64621 Info:Filtering - Merging: Total cpu/real time for replay: 5.99/4.7945 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 7980.2/2344.5 Info:root: Cleaning up computation data in /tmp/cado.ilz59k21 247189212794865728843532517020662658896259072613 51140872013524402112031128668346654875225144915686784537 |
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 3, 2022 16:03:09 UTC 2022 年 7 月 4 日 (月) 1 時 3 分 9 秒 (日本時間) |
composite number 合成数 | 334418985518079630909881979589172331290523586628674580934844194784915301385072969218725138510183096151440511298583529090678633292913313<135> |
prime factors 素因数 | 129618047531573023064629507267269846599668486882907<51> 2580034122459838426851217229565140017748424216174180259575400204717389481255782337459<85> |
factorization results 素因数分解の結果 | Number: n N=334418985518079630909881979589172331290523586628674580934844194784915301385072969218725138510183096151440511298583529090678633292913313 ( 135 digits) SNFS difficulty: 147 digits. Divisors found: Mon Jul 4 01:57:48 2022 p51 factor: 129618047531573023064629507267269846599668486882907 Mon Jul 4 01:57:48 2022 p85 factor: 2580034122459838426851217229565140017748424216174180259575400204717389481255782337459 Mon Jul 4 01:57:48 2022 elapsed time 00:04:44 (Msieve 1.54 - dependency 7) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.333). Factorization parameters were as follows: # # N = 43x10^146-52 = 47(145)2 # n: 334418985518079630909881979589172331290523586628674580934844194784915301385072969218725138510183096151440511298583529090678633292913313 m: 1000000000000000000000000000000000000 deg: 4 c4: 1075 c0: -13 skew: 0.33 # Murphy_E = 1.787e-09 type: snfs lss: 1 rlim: 1980000 alim: 1980000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.3 alambda: 2.3 Factor base limits: 1980000/1980000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved special-q in [100000, 6590000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 436220 hash collisions in 5841156 relations (6066209 unique) Msieve: matrix is 317629 x 317854 (109.6 MB) Sieving start time : 2022/07/04 01:28:38 Sieving end time : 2022/07/04 01:52:53 Total sieving time: 0hrs 24min 15secs. Total relation processing time: 0hrs 1min 46sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 31sec. Prototype def-par.txt line would be: snfs,147,4,0,0,0,0,0,0,0,0,1980000,1980000,26,26,49,49,2.3,2.3,100000 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 5, 2022 16:43:44 UTC 2022 年 7 月 6 日 (水) 1 時 43 分 44 秒 (日本時間) |
composite number 合成数 | 183867278505475231221321893898297841369886367670927456513357634036211585357099211195202552712357402539456134077507235807207<123> |
prime factors 素因数 | 20548660608848347657451975044783740664076748906072943<53> 8947896021325162985168266405567202278919450372592672762770384639031049<70> |
factorization results 素因数分解の結果 | 183867278505475231221321893898297841369886367670927456513357634036211585357099211195202552712357402539456134077507235807207=20548660608848347657451975044783740664076748906072943*8947896021325162985168266405567202278919450372592672762770384639031049 cado polynomial n: 183867278505475231221321893898297841369886367670927456513357634036211585357099211195202552712357402539456134077507235807207 skew: 1.05 type: snfs c0: -52 c4: 43 Y0: 10000000000000000000000000000000000000 Y1: -1 # f(x) = 43*x^4-52 # g(x) = -x+10000000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 2200000 tasks.lim1 = 2200000 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: 8947896021325162985168266405567202278919450372592672762770384639031049 20548660608848347657451975044783740664076748906072943 Info:Square Root: Total cpu/real time for sqrt: 60.16/19.8015 Info:Quadratic Characters: Total cpu/real time for characters: 11.13/4.36655 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 49.84/49.7413 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 38.400000000000006s Info:Square Root: Total cpu/real time for sqrt: 60.16/19.8015 Info:Linear Algebra: Total cpu/real time for bwc: 1679.42/452.47 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 1028.82, WCT time 262.97, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (10880 iterations) Info:Linear Algebra: Lingen CPU time 53.81, WCT time 14.08 Info:Linear Algebra: Mksol: CPU time 566.3, WCT time 162.84, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (5504 iterations) Info:Filtering - Singleton removal: Total cpu/real time for purge: 27.26/28.0571 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 6039592 Info:Lattice Sieving: Average J: 1896.22 for 252346 special-q, max bucket fill -bkmult 1.0,1s:1.311080 Info:Lattice Sieving: Total time: 21289.7s Info:Generate Free Relations: Total cpu/real time for freerel: 36.15/11.3095 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 23.34/25.1953 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 25.1s Info:Filtering - Merging: Merged matrix has 346158 rows and total weight 58938575 (170.3 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 68.6/19.2464 Info:Filtering - Merging: Total cpu/real time for replay: 11.19/9.27234 Info:Generate Factor Base: Total cpu/real time for makefb: 1.13/0.609884 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 40798.1/11359 Info:root: Cleaning up computation data in /tmp/cado.lnlmy_u5 8947896021325162985168266405567202278919450372592672762770384639031049 20548660608848347657451975044783740664076748906072943 |
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 | Dmitry Domanov |
---|---|
date 日付 | June 30, 2022 11:58:26 UTC 2022 年 6 月 30 日 (木) 20 時 58 分 26 秒 (日本時間) |
composite number 合成数 | 3023883351924931157990829947544188314620014374830691420489342959940456141677108189324322569871712455759<103> |
prime factors 素因数 | 670119796838833619575077153196886908541630101653721<51> 4512451902166660952869280413657531725944005526635879<52> |
factorization results 素因数分解の結果 | N=3023883351924931157990829947544188314620014374830691420489342959940456141677108189324322569871712455759 ( 103 digits) Divisors found: p51 factor: 670119796838833619575077153196886908541630101653721 p52 factor: 4512451902166660952869280413657531725944005526635879 Version: Msieve v. 1.54 (SVN 1043M) Total time: 2.40 hours. Scaled time: 0.00 units (timescale=0.000). Factorization parameters were as follows: n: 3023883351924931157990829947544188314620014374830691420489342959940456141677108189324322569871712455759 skew: 1258559.02 c0: -3230927220621424163672473685 c1: 136908850234820036116 c2: -17812531432479313 c3: 4173913518 c4: 10920 Y0: -4079297349424558644958402 Y1: 23169577900351 rlim: 2220000 alim: 2220000 lpbr: 26 lpba: 26 mfbr: 52 mfba: 52 rlambda: 2.5 alambda: 2.5 type: gnfs qintsize: 50000 Factor base limits: 2220000/2220000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 52/52 Sieved algebraic special-q in [1110000, 1560001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 232410 x 232637 Total sieving time: 2.36 hours. Total relation processing time: 0.02 hours. Matrix solve time: 0.02 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: gnfs,102,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2220000,2220000,26,26,52,52,2.5,2.5,100000 total time: 2.40 hours. --------- CPU info (if available) ---------- |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
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 22:10:01 UTC 2022 年 7 月 1 日 (金) 7 時 10 分 1 秒 (日本時間) |
composite number 合成数 | 313797319139454809441083149421876918752990221424761575071913522107256397411396070613550670118284781010708128648442647937<120> |
prime factors 素因数 | 1552537879751678630423008737452520944531<40> 6884759508010970379573796568033079822311<40> 29357444553802717681208900106720191606957<41> |
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 313797319139454809441083149421876918752990221424761575071913522107256397411396070613550670118284781010708128648442647937 (120 digits) Using B1=15830000, B2=58558142380, polynomial Dickson(12), sigma=1:114097727 Step 1 took 24104ms Step 2 took 12095ms ********** Factor found in step 2: 29357444553802717681208900106720191606957 Found prime factor of 41 digits: 29357444553802717681208900106720191606957 Composite cofactor 10688849929167562059608800714748128175168053515697581595969936013252091367231141 has 80 digits GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 10688849929167562059608800714748128175168053515697581595969936013252091367231141 (80 digits) Using B1=19540000, B2=70271979970, polynomial Dickson(12), sigma=1:1482231257 Step 1 took 20296ms Step 2 took 10138ms ********** Factor found in step 2: 6884759508010970379573796568033079822311 Found prime factor of 40 digits: 6884759508010970379573796568033079822311 Prime cofactor 1552537879751678630423008737452520944531 has 40 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 21:33:15 UTC 2022 年 7 月 7 日 (木) 6 時 33 分 15 秒 (日本時間) |
composite number 合成数 | 16283462164565069825706494712933441205271266290180896794419033476412320502645479682054853676675800941341684816332926438144323<125> |
prime factors 素因数 | 4701805939952125752283307812675277864803<40> 3463235695501901048109663896190176439371636215705494606745486122007859171230300615841<85> |
factorization results 素因数分解の結果 | 16283462164565069825706494712933441205271266290180896794419033476412320502645479682054853676675800941341684816332926438144323=4701805939952125752283307812675277864803*3463235695501901048109663896190176439371636215705494606745486122007859171230300615841 cado polynomial n: 16283462164565069825706494712933441205271266290180896794419033476412320502645479682054853676675800941341684816332926438144323 skew: 0.26 type: snfs c0: -13 c5: 10750 Y0: 10000000000000000000000000000000 Y1: -1 # f(x) = 10750*x^5-13 # g(x) = -x+10000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 3100000 tasks.lim1 = 3100000 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: 3463235695501901048109663896190176439371636215705494606745486122007859171230300615841 4701805939952125752283307812675277864803 Info:Square Root: Total cpu/real time for sqrt: 76.25/24.0091 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 11676669 Info:Lattice Sieving: Average J: 1894.64 for 316972 special-q, max bucket fill -bkmult 1.0,1s:1.229540 Info:Lattice Sieving: Total time: 36414.2s Info:Generate Free Relations: Total cpu/real time for freerel: 59.94/17.336 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 44.83/48.7697 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 48.7s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 101.12/87.1872 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 78.2s Info:Filtering - Merging: Merged matrix has 373529 rows and total weight 63767247 (170.7 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 76.77/21.4103 Info:Filtering - Merging: Total cpu/real time for replay: 11.62/9.70117 Info:Linear Algebra: Total cpu/real time for bwc: 2043.96/526.45 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 1265.01, WCT time 322.99, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11776 iterations) Info:Linear Algebra: Lingen CPU time 57.16, WCT time 14.57 Info:Linear Algebra: Mksol: CPU time 688.03, WCT time 175.48, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (5888 iterations) Info:Generate Factor Base: Total cpu/real time for makefb: 1.35/0.740567 Info:Quadratic Characters: Total cpu/real time for characters: 11.54/4.52435 Info:Square Root: Total cpu/real time for sqrt: 76.25/24.0091 Info:Filtering - Singleton removal: Total cpu/real time for purge: 82.2/74.414 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 69185.5/19113.3 Info:root: Cleaning up computation data in /tmp/cado.mzx454i1 3463235695501901048109663896190176439371636215705494606745486122007859171230300615841 4701805939952125752283307812675277864803 |
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 8, 2022 01:51:14 UTC 2022 年 7 月 8 日 (金) 10 時 51 分 14 秒 (日本時間) |
composite number 合成数 | 98551911907333088645565479978190905635462576988854340156817347449016352778323066426444261220147200328502310572138703180230098277235599<134> |
prime factors 素因数 | 4999961280309239046091375325581236056655457<43> 19710535018630748596207820733628965338164802999542844277201706677185683746238110806198708207<92> |
factorization results 素因数分解の結果 | 98551911907333088645565479978190905635462576988854340156817347449016352778323066426444261220147200328502310572138703180230098277235599=4999961280309239046091375325581236056655457*19710535018630748596207820733628965338164802999542844277201706677185683746238110806198708207 cado polynomial n: 98551911907333088645565479978190905635462576988854340156817347449016352778323066426444261220147200328502310572138703180230098277235599 skew: 0.66 type: snfs c0: -26 c5: 215 Y0: 100000000000000000000000000000000 Y1: -1 # f(x) = 215*x^5-26 # g(x) = -x+100000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 3600000 tasks.lim1 = 3600000 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: 19710535018630748596207820733628965338164802999542844277201706677185683746238110806198708207 4999961280309239046091375325581236056655457 Info:Square Root: Total cpu/real time for sqrt: 93.93/30.0039 Info:Filtering - Singleton removal: Total cpu/real time for purge: 68.16/64.5899 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 11629438 Info:Lattice Sieving: Average J: 1893.81 for 308409 special-q, max bucket fill -bkmult 1.0,1s:1.240260 Info:Lattice Sieving: Total time: 36961.2s Info:Linear Algebra: Total cpu/real time for bwc: 3167.97/815.63 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 1973.83, WCT time 503.7, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (14848 iterations) Info:Linear Algebra: Lingen CPU time 74.25, WCT time 18.93 Info:Linear Algebra: Mksol: CPU time 1076.78, WCT time 274.82, 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: 44.88/48.9081 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 48.8s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 102.12/85.4864 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 77.1s Info:Filtering - Merging: Merged matrix has 471062 rows and total weight 80134396 (170.1 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 96.24/27.0108 Info:Filtering - Merging: Total cpu/real time for replay: 15.52/12.9262 Info:Generate Factor Base: Total cpu/real time for makefb: 1.56/0.854093 Info:Quadratic Characters: Total cpu/real time for characters: 15.26/6.03424 Info:Square Root: Total cpu/real time for sqrt: 93.93/30.0039 Info:Generate Free Relations: Total cpu/real time for freerel: 60.22/16.895 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 71643.1/19792.4 Info:root: Cleaning up computation data in /tmp/cado.6heinx9b 19710535018630748596207820733628965338164802999542844277201706677185683746238110806198708207 4999961280309239046091375325581236056655457 |
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 2, 2022 17:25:36 UTC 2022 年 7 月 3 日 (日) 2 時 25 分 36 秒 (日本時間) |
composite number 合成数 | 87292365498818608698325112505683420964509595475086281276014517009839400196936123732912739395105429846294816343226590231819262255152972557079<140> |
prime factors 素因数 | 15755527416341572847095452289198719118464252096222819020340997<62> 5540428015648609812738788595505797029113775050294357338961926479325368645043307<79> |
factorization results 素因数分解の結果 | Number: n N=87292365498818608698325112505683420964509595475086281276014517009839400196936123732912739395105429846294816343226590231819262255152972557079 ( 140 digits) SNFS difficulty: 163 digits. Divisors found: Sun Jul 3 03:21:17 2022 p62 factor: 15755527416341572847095452289198719118464252096222819020340997 Sun Jul 3 03:21:17 2022 p79 factor: 5540428015648609812738788595505797029113775050294357338961926479325368645043307 Sun Jul 3 03:21:17 2022 elapsed time 00:08:05 (Msieve 1.54 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.318). Factorization parameters were as follows: # # N = 43x10^162-52 = 47(161)2 # n: 87292365498818608698325112505683420964509595475086281276014517009839400196936123732912739395105429846294816343226590231819262255152972557079 m: 100000000000000000000000000000000 deg: 5 c5: 1075 c0: -13 skew: 0.41 # Murphy_E = 3.973e-10 type: snfs lss: 1 rlim: 3600000 alim: 3600000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4 Factor base limits: 3600000/3600000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved special-q in [100000, 14600000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1328459 hash collisions in 13514974 relations (13034299 unique) Msieve: matrix is 524426 x 524651 (179.7 MB) Sieving start time : 2022/07/03 02:19:35 Sieving end time : 2022/07/03 03:12:56 Total sieving time: 0hrs 53min 21secs. Total relation processing time: 0hrs 3min 51sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 1sec. Prototype def-par.txt line would be: snfs,163,5,0,0,0,0,0,0,0,0,3600000,3600000,27,27,51,51,2.4,2.4,100000 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 16:21:48 UTC 2022 年 7 月 3 日 (日) 1 時 21 分 48 秒 (日本時間) |
composite number 合成数 | 19750977534048943457528166844742908145188621017831667310250445569757068757054669470993285890079295943394547607721271357270040768242265368559893<143> |
prime factors 素因数 | 402810982938564815781109788977046788887847<42> 1026854251240780840833980792822352942798825929<46> 47750561865321608580154910601188947191120565400228772811<56> |
factorization results 素因数分解の結果 | Number: n N=19750977534048943457528166844742908145188621017831667310250445569757068757054669470993285890079295943394547607721271357270040768242265368559893 ( 143 digits) SNFS difficulty: 165 digits. Divisors found: Sun Jul 3 02:16:38 2022 found factor: 47750561865321608580154910601188947191120565400228772811 Sun Jul 3 02:17:50 2022 p42 factor: 402810982938564815781109788977046788887847 Sun Jul 3 02:17:50 2022 p46 factor: 1026854251240780840833980792822352942798825929 Sun Jul 3 02:17:50 2022 p56 factor: 47750561865321608580154910601188947191120565400228772811 Sun Jul 3 02:17:50 2022 elapsed time 00:10:04 (Msieve 1.54 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.337). Factorization parameters were as follows: # # N = 43x10^164-52 = 47(163)2 # n: 19750977534048943457528166844742908145188621017831667310250445569757068757054669470993285890079295943394547607721271357270040768242265368559893 m: 500000000000000000000000000000000 deg: 5 c5: 172 c0: -65 skew: 0.82 # Murphy_E = 3.158e-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 1080119 hash collisions in 11865090 relations (11530056 unique) Msieve: matrix is 600141 x 600367 (206.5 MB) Sieving start time : 2022/07/03 00:57:18 Sieving end time : 2022/07/03 02:07:17 Total sieving time: 1hrs 9min 59secs. Total relation processing time: 0hrs 5min 28sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 49sec. 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 | Bob Backstrom |
---|---|
date 日付 | July 1, 2022 21:42:33 UTC 2022 年 7 月 2 日 (土) 6 時 42 分 33 秒 (日本時間) |
composite number 合成数 | 1194444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443<166> |
prime factors 素因数 | 74049785674714987227776621028145136456910350490602695497492026216794064179<74> 16130289015168601739959350193617484007352518426037278174479748668877076595972231766034474617<92> |
factorization results 素因数分解の結果 | Number: n N=1194444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443 ( 166 digits) SNFS difficulty: 166 digits. Divisors found: Sat Jul 2 07:18:37 2022 p74 factor: 74049785674714987227776621028145136456910350490602695497492026216794064179 Sat Jul 2 07:18:37 2022 p92 factor: 16130289015168601739959350193617484007352518426037278174479748668877076595972231766034474617 Sat Jul 2 07:18:37 2022 elapsed time 00:09:08 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.350). Factorization parameters were as follows: # # N = 43x10^165-52 = 47(164)2 # n: 1194444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443 m: 1000000000000000000000000000000000 deg: 5 c5: 43 c0: -52 skew: 1.04 # Murphy_E = 3.188e-10 type: snfs lss: 1 rlim: 4200000 alim: 4200000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4 Factor base limits: 4200000/4200000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved special-q in [100000, 14900000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1322219 hash collisions in 13209729 relations (12704789 unique) Msieve: matrix is 596047 x 596273 (204.6 MB) Sieving start time : 2022/07/02 06:03:13 Sieving end time : 2022/07/02 07:09:13 Total sieving time: 1hrs 6min 0secs. Total relation processing time: 0hrs 5min 26sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 31sec. Prototype def-par.txt line would be: snfs,166,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000 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 8, 2022 09:55:32 UTC 2022 年 7 月 8 日 (金) 18 時 55 分 32 秒 (日本時間) |
composite number 合成数 | 1474231528271112862592857455203731605727093469350788304483445849000148060113034467337206968688837795426144459046269756778153678561053771<136> |
prime factors 素因数 | 159354851597278961221781192835656539518101201609713024766039<60> 9251249732871552383052687240880710646473138840477844544558125878764484991789<76> |
factorization results 素因数分解の結果 | 1474231528271112862592857455203731605727093469350788304483445849000148060113034467337206968688837795426144459046269756778153678561053771=159354851597278961221781192835656539518101201609713024766039*9251249732871552383052687240880710646473138840477844544558125878764484991789 cado polynomial n: 1474231528271112862592857455203731605727093469350788304483445849000148060113034467337206968688837795426144459046269756778153678561053771 skew: 0.66 type: snfs c0: -26 c5: 215 Y0: 1000000000000000000000000000000000 Y1: -1 # f(x) = 215*x^5-26 # g(x) = -x+1000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 4300000 tasks.lim1 = 4300000 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: 9251249732871552383052687240880710646473138840477844544558125878764484991789 159354851597278961221781192835656539518101201609713024766039 Info:Square Root: Total cpu/real time for sqrt: 239.83/73.5153 Info:Filtering - Singleton removal: Total cpu/real time for purge: 59.74/61.0967 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 11628783 Info:Lattice Sieving: Average J: 1893.58 for 448152 special-q, max bucket fill -bkmult 1.0,1s:1.241000 Info:Lattice Sieving: Total time: 69626.2s Info:Linear Algebra: Total cpu/real time for bwc: 5609.68/1442.65 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 3496.35, WCT time 893.73, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (19200 iterations) Info:Linear Algebra: Lingen CPU time 102.41, WCT time 25.99 Info:Linear Algebra: Mksol: CPU time 1917.85, WCT time 489.4, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9728 iterations) Info:Generate Free Relations: Total cpu/real time for freerel: 59.61/17.5414 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.46/51.8737 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 51.8s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 103.69/88.3816 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 78.9s Info:Filtering - Merging: Merged matrix has 613493 rows and total weight 104440692 (170.2 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 132.21/36.9477 Info:Filtering - Merging: Total cpu/real time for replay: 20.66/17.1856 Info:Generate Factor Base: Total cpu/real time for makefb: 1.85/1.09491 Info:Quadratic Characters: Total cpu/real time for characters: 20.03/7.92973 Info:Square Root: Total cpu/real time for sqrt: 239.83/73.5153 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 137062/25417.8 Info:root: Cleaning up computation data in /tmp/cado.g0cmj4xs 9251249732871552383052687240880710646473138840477844544558125878764484991789 159354851597278961221781192835656539518101201609713024766039 |
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 2, 2022 09:09:06 UTC 2022 年 7 月 2 日 (土) 18 時 9 分 6 秒 (日本時間) |
composite number 合成数 | 2513865233822606050226864570678117742293881485832693473555973818889154393903541034230806234296499940849831412723165459530129242812631990492217187780077481<154> |
prime factors 素因数 | 3070644072482309101881576562861606140530764969070002205670385725246881<70> 818676855566134384359063912142132781049856808420614734374621577400416320143641742601<84> |
factorization results 素因数分解の結果 | Number: n N=2513865233822606050226864570678117742293881485832693473555973818889154393903541034230806234296499940849831412723165459530129242812631990492217187780077481 ( 154 digits) SNFS difficulty: 168 digits. Divisors found: Sat Jul 2 19:03:22 2022 p70 factor: 3070644072482309101881576562861606140530764969070002205670385725246881 Sat Jul 2 19:03:22 2022 p84 factor: 818676855566134384359063912142132781049856808420614734374621577400416320143641742601 Sat Jul 2 19:03:22 2022 elapsed time 00:10:56 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.313). Factorization parameters were as follows: # # N = 43x10^167-52 = 47(166)2 # n: 2513865233822606050226864570678117742293881485832693473555973818889154393903541034230806234296499940849831412723165459530129242812631990492217187780077481 m: 1000000000000000000000000000000000 deg: 5 c5: 1075 c0: -13 skew: 0.41 # Murphy_E = 2.531e-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 1291552 hash collisions in 13157623 relations (12688072 unique) Msieve: matrix is 687174 x 687399 (237.2 MB) Sieving start time : 2022/07/02 17:44:44 Sieving end time : 2022/07/02 18:52:11 Total sieving time: 1hrs 7min 27secs. Total relation processing time: 0hrs 6min 53sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 49sec. 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) ---------- [ 0.116860] 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 3, 2022 11:19:52 UTC 2022 年 7 月 3 日 (日) 20 時 19 分 52 秒 (日本時間) |
composite number 合成数 | 22536687631027253668763102725366876310272536687631027253668763102725366876310272536687631027253668763102725366876310272536687631027253668763102725366876310272536687631<167> |
prime factors 素因数 | 49973278137245711730801148083990006540916123249738438690081629433<65> 450974770338917938122124376482706602946408020661700413782624582165223815466939340469028182819696315207<102> |
factorization results 素因数分解の結果 | Number: n N=22536687631027253668763102725366876310272536687631027253668763102725366876310272536687631027253668763102725366876310272536687631027253668763102725366876310272536687631 ( 167 digits) SNFS difficulty: 169 digits. Divisors found: Sun Jul 3 21:03:50 2022 p65 factor: 49973278137245711730801148083990006540916123249738438690081629433 Sun Jul 3 21:03:50 2022 p102 factor: 450974770338917938122124376482706602946408020661700413782624582165223815466939340469028182819696315207 Sun Jul 3 21:03:50 2022 elapsed time 00:12:44 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.337). Factorization parameters were as follows: # # N = 43x10^168-52 = 47(167)2 # n: 22536687631027253668763102725366876310272536687631027253668763102725366876310272536687631027253668763102725366876310272536687631027253668763102725366876310272536687631 m: 1000000000000000000000000000000000 deg: 5 c5: 10750 c0: -13 skew: 0.26 # Murphy_E = 2.065e-10 type: snfs lss: 1 rlim: 4600000 alim: 4600000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 4600000/4600000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved special-q in [100000, 7900000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1306846 hash collisions in 13042213 relations (12540747 unique) Msieve: matrix is 750541 x 750767 (260.3 MB) Sieving start time : 2022/07/03 20:10:19 Sieving end time : 2022/07/03 20:50:39 Total sieving time: 0hrs 40min 20secs. Total relation processing time: 0hrs 8min 32sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 58sec. Prototype def-par.txt line would be: snfs,169,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000 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 3, 2022 03:55:33 UTC 2022 年 7 月 3 日 (日) 12 時 55 分 33 秒 (日本時間) |
composite number 合成数 | 5257758949106250630970546882991760534592391126858300340756359367531447598614847820452962414268512893216150471121534967300916027256204603397043<142> |
prime factors 素因数 | 16033248826719942307143168535344543353<38> 16203855580916358326143431796373820297371<41> 20237682343683170900125683074048713491832527294520154546633406161<65> |
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 5257758949106250630970546882991760534592391126858300340756359367531447598614847820452962414268512893216150471121534967300916027256204603397043 (142 digits) Using B1=16720000, B2=58559116990, polynomial Dickson(12), sigma=1:2219703878 Step 1 took 32696ms Step 2 took 14171ms ********** Factor found in step 2: 16033248826719942307143168535344543353 Found prime factor of 38 digits: 16033248826719942307143168535344543353 Composite cofactor 327928481989502995259575166674144106326789037482972783612522248641469367243161239956645072734027643502731 has 105 digits GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 327928481989502995259575166674144106326789037482972783612522248641469367243161239956645072734027643502731 (105 digits) Using B1=24920000, B2=96190324246, polynomial Dickson(12), sigma=1:3761352801 Step 1 took 31395ms Step 2 took 12708ms ********** Factor found in step 2: 16203855580916358326143431796373820297371 Found prime factor of 41 digits: 16203855580916358326143431796373820297371 Prime cofactor 20237682343683170900125683074048713491832527294520154546633406161 has 65 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 7, 2022 12:57:39 UTC 2022 年 7 月 7 日 (木) 21 時 57 分 39 秒 (日本時間) |
composite number 合成数 | 45082262350402746476112133607206642310763465157471127887614939802292254511575744322841734322099853064523722760828363123145088089118579151517370916904346849<155> |
prime factors 素因数 | 42143908135532409605502798213831614252550285511248981202367431<62> 1069721920554229498023087426894934111604398552446778950492784222483392926592268550798509625879<94> |
factorization results 素因数分解の結果 | Number: n N=45082262350402746476112133607206642310763465157471127887614939802292254511575744322841734322099853064523722760828363123145088089118579151517370916904346849 ( 155 digits) SNFS difficulty: 171 digits. Divisors found: Thu Jul 7 22:53:53 2022 p62 factor: 42143908135532409605502798213831614252550285511248981202367431 Thu Jul 7 22:53:53 2022 p94 factor: 1069721920554229498023087426894934111604398552446778950492784222483392926592268550798509625879 Thu Jul 7 22:53:53 2022 elapsed time 00:15:20 (Msieve 1.54 - dependency 4) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.329). Factorization parameters were as follows: # # N = 43x10^170-52 = 47(169)2 # n: 45082262350402746476112133607206642310763465157471127887614939802292254511575744322841734322099853064523722760828363123145088089118579151517370916904346849 m: 10000000000000000000000000000000000 deg: 5 c5: 43 c0: -52 skew: 1.04 # Murphy_E = 2.023e-10 type: snfs lss: 1 rlim: 5100000 alim: 5100000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 5100000/5100000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved special-q in [100000, 15350000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1145734 hash collisions in 12120901 relations (11730296 unique) Msieve: matrix is 787153 x 787379 (274.0 MB) Sieving start time : 2022/07/07 21:30:31 Sieving end time : 2022/07/07 22:38:18 Total sieving time: 1hrs 7min 47secs. Total relation processing time: 0hrs 8min 53sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 3min 24sec. Prototype def-par.txt line would be: snfs,171,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000 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 6, 2022 18:20:12 UTC 2022 年 7 月 7 日 (木) 3 時 20 分 12 秒 (日本時間) |
composite number 合成数 | 5193236714975845410628019323671497584541062801932367149758454106280193236714975845410628019323671497584541062801932367149758454106280193236714975845410628019323671497584541<172> |
prime factors 素因数 | 680969134679228287835245989744125071793<39> 7626243908135614290986485481486143115777367769047154593034617932318921872022238358499552938830028387083405413526299587847267339627437<133> |
factorization results 素因数分解の結果 | Number: n N=5193236714975845410628019323671497584541062801932367149758454106280193236714975845410628019323671497584541062801932367149758454106280193236714975845410628019323671497584541 ( 172 digits) SNFS difficulty: 174 digits. Divisors found: Thu Jul 7 04:15:41 2022 p39 factor: 680969134679228287835245989744125071793 Thu Jul 7 04:15:41 2022 p133 factor: 7626243908135614290986485481486143115777367769047154593034617932318921872022238358499552938830028387083405413526299587847267339627437 Thu Jul 7 04:15:41 2022 elapsed time 00:21:37 (Msieve 1.54 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.341). Factorization parameters were as follows: # # N = 43x10^173-52 = 47(172)2 # n: 5193236714975845410628019323671497584541062801932367149758454106280193236714975845410628019323671497584541062801932367149758454106280193236714975845410628019323671497584541 m: 10000000000000000000000000000000000 deg: 5 c5: 10750 c0: -13 skew: 0.26 # Murphy_E = 1.309e-10 type: snfs lss: 1 rlim: 5600000 alim: 5600000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 5600000/5600000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved special-q in [100000, 15600000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1260730 hash collisions in 11840331 relations (11282095 unique) Msieve: matrix is 991920 x 992145 (345.8 MB) Sieving start time : 2022/07/07 02:14:23 Sieving end time : 2022/07/07 03:53:49 Total sieving time: 1hrs 39min 26secs. Total relation processing time: 0hrs 15min 36sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 2min 45sec. Prototype def-par.txt line would be: snfs,174,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000 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 15, 2022 12:30:04 UTC 2022 年 7 月 15 日 (金) 21 時 30 分 4 秒 (日本時間) |
composite number 合成数 | 14401101545278347114419026216032295315706074142382667670393882002724433370427416324520510742354799755314707057151189010112666345122267253645447<143> |
prime factors 素因数 | 135607225686909344581601369427463002765232227705284175249391213<63> 106197154851672018794176872153646653244070992719866113506317109156769878177034819<81> |
factorization results 素因数分解の結果 | Number: n N=14401101545278347114419026216032295315706074142382667670393882002724433370427416324520510742354799755314707057151189010112666345122267253645447 ( 143 digits) SNFS difficulty: 180 digits. Divisors found: Fri Jul 15 22:24:27 2022 p63 factor: 135607225686909344581601369427463002765232227705284175249391213 Fri Jul 15 22:24:27 2022 p81 factor: 106197154851672018794176872153646653244070992719866113506317109156769878177034819 Fri Jul 15 22:24:27 2022 elapsed time 00:31:59 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.348). Factorization parameters were as follows: # # N = 43x10^179-52 = 47(178)2 # n: 14401101545278347114419026216032295315706074142382667670393882002724433370427416324520510742354799755314707057151189010112666345122267253645447 m: 500000000000000000000000000000000000 deg: 5 c5: 172 c0: -65 skew: 0.82 # Murphy_E = 7.987e-11 type: snfs lss: 1 rlim: 7200000 alim: 7200000 lpbr: 27 lpba: 27 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 7200000/7200000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 53/53 Sieved special-q in [100000, 9200000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 990795 hash collisions in 11635073 relations (11394089 unique) Msieve: matrix is 1243079 x 1243308 (436.1 MB) Sieving start time : 2022/07/15 19:59:41 Sieving end time : 2022/07/15 21:52:12 Total sieving time: 1hrs 52min 31secs. Total relation processing time: 0hrs 26min 44sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 50sec. Prototype def-par.txt line would be: snfs,180,5,0,0,0,0,0,0,0,0,7200000,7200000,27,27,53,53,2.5,2.5,100000 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 11:59:40 UTC 2022 年 7 月 12 日 (火) 20 時 59 分 40 秒 (日本時間) |
name 名前 | Bob Backstrom |
---|---|
date 日付 | July 9, 2022 16:47:32 UTC 2022 年 7 月 10 日 (日) 1 時 47 分 32 秒 (日本時間) |
composite number 合成数 | 245784388957751899009326884332167210806879548424643243031349074900819265008169849532049248647639014585494037690454617263625695470878482202911479274612403<153> |
prime factors 素因数 | 1163244603925406914822039029217457986723<40> 211292094653475674513632549074609095067217835683249740160765157196488147503941825694112670190673784667306246250161<114> |
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 245784388957751899009326884332167210806879548424643243031349074900819265008169849532049248647639014585494037690454617263625695470878482202911479274612403 (153 digits) Using B1=16790000, B2=58559116990, polynomial Dickson(12), sigma=1:129871428 Step 1 took 32433ms Step 2 took 14773ms ********** Factor found in step 2: 1163244603925406914822039029217457986723 Found prime factor of 40 digits: 1163244603925406914822039029217457986723 Prime cofactor 211292094653475674513632549074609095067217835683249740160765157196488147503941825694112670190673784667306246250161 has 114 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 7, 2022 09:10:25 UTC 2022 年 7 月 7 日 (木) 18 時 10 分 25 秒 (日本時間) |
composite number 合成数 | 255769688317868189388532000951701165833928146561979538424934570544848917439923863906733285748275041636926005234356412086604806090887461337140137996669045919581251487033071615512729<180> |
prime factors 素因数 | 484217647017324010865279089283059598136121826933<48> 528212240700755449318555504769610504720540880093393295036390762860113537392908882333791792970297749235066820017929681097984338472213<132> |
factorization results 素因数分解の結果 | Number: n N=255769688317868189388532000951701165833928146561979538424934570544848917439923863906733285748275041636926005234356412086604806090887461337140137996669045919581251487033071615512729 ( 180 digits) SNFS difficulty: 183 digits. Divisors found: Thu Jul 7 18:48:39 2022 p48 factor: 484217647017324010865279089283059598136121826933 Thu Jul 7 18:48:39 2022 p132 factor: 528212240700755449318555504769610504720540880093393295036390762860113537392908882333791792970297749235066820017929681097984338472213 Thu Jul 7 18:48:39 2022 elapsed time 00:23:03 (Msieve 1.54 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.345). Factorization parameters were as follows: # # N = 43x10^182-52 = 47(181)2 # n: 255769688317868189388532000951701165833928146561979538424934570544848917439923863906733285748275041636926005234356412086604806090887461337140137996669045919581251487033071615512729 m: 1000000000000000000000000000000000000 deg: 5 c5: 1075 c0: -13 skew: 0.41 # Murphy_E = 6.36e-11 type: snfs lss: 1 rlim: 7900000 alim: 7900000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 7900000/7900000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved special-q in [100000, 16750000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3341846 hash collisions in 28785241 relations (27115050 unique) Msieve: matrix is 947026 x 947253 (325.4 MB) Sieving start time : 2022/07/07 15:15:55 Sieving end time : 2022/07/07 18:25:06 Total sieving time: 3hrs 9min 11secs. Total relation processing time: 0hrs 13min 52sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 2min 7sec. Prototype def-par.txt line would be: snfs,183,5,0,0,0,0,0,0,0,0,7900000,7900000,28,28,53,53,2.5,2.5,100000 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 | Eric Jeancolas |
---|---|
date 日付 | August 29, 2022 10:58:10 UTC 2022 年 8 月 29 日 (月) 19 時 58 分 10 秒 (日本時間) |
composite number 合成数 | 2773759036282462993858815474179113640976092483070460377924221789345003229359771404097907779668650012064902214341207636650057346234431964183853559435336261<154> |
prime factors 素因数 | 3550526822790310897079275326659769247970125704939324744832734661<64> 781224639250184109267537093653737691424149928078046626940320763903776426383161256478505601<90> |
factorization results 素因数分解の結果 | 2773759036282462993858815474179113640976092483070460377924221789345003229359771404097907779668650012064902214341207636650057346234431964183853559435336261=3550526822790310897079275326659769247970125704939324744832734661*781224639250184109267537093653737691424149928078046626940320763903776426383161256478505601 cado polynomial n: 2773759036282462993858815474179113640976092483070460377924221789345003229359771404097907779668650012064902214341207636650057346234431964183853559435336261 skew: 0.82 type: snfs c0: -65 c5: 172 Y0: 5000000000000000000000000000000000000 Y1: -1 # f(x) = 172*x^5-65 # g(x) = -x+5000000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 8700000 tasks.lim1 = 8700000 tasks.lpb0 = 28 tasks.lpb1 = 28 tasks.sieve.mfb0 = 54 tasks.sieve.mfb1 = 54 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: 3550526822790310897079275326659769247970125704939324744832734661 781224639250184109267537093653737691424149928078046626940320763903776426383161256478505601 Info:Square Root: Total cpu/real time for sqrt: 454.93/143.855 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 23604302 Info:Lattice Sieving: Average J: 1894.75 for 1430700 special-q, max bucket fill -bkmult 1.0,1s:1.174960 Info:Lattice Sieving: Total time: 253864s Info:Linear Algebra: Total cpu/real time for bwc: 47265.8/12129.2 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 30233.39, WCT time 7716.19, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (52992 iterations) Info:Linear Algebra: Lingen CPU time 332.38, WCT time 84.36 Info:Linear Algebra: Mksol: CPU time 16390.71, WCT time 4213.89, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (26624 iterations) Info:Generate Factor Base: Total cpu/real time for makefb: 3.7/2.07145 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 354.73/346.313 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 285.49999999999994s Info:Generate Free Relations: Total cpu/real time for freerel: 119.77/31.485 Info:Quadratic Characters: Total cpu/real time for characters: 60.81/26.2344 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 97.95/104.695 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 104.30000000000001s Info:Square Root: Total cpu/real time for sqrt: 454.93/143.855 Info:Filtering - Singleton removal: Total cpu/real time for purge: 245.85/280.48 Info:Filtering - Merging: Merged matrix has 1692836 rows and total weight 289007216 (170.7 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 437.94/120.999 Info:Filtering - Merging: Total cpu/real time for replay: 64.83/55.1645 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 524256/140061 Info:root: Cleaning up computation data in /tmp/cado.pn1do4p_ 3550526822790310897079275326659769247970125704939324744832734661 781224639250184109267537093653737691424149928078046626940320763903776426383161256478505601 |
software ソフトウェア | cado-nfs-3.0.0 |
execution environment 実行環境 | Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)] 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 10, 2022 10:47:34 UTC 2022 年 7 月 10 日 (日) 19 時 47 分 34 秒 (日本時間) |
name 名前 | Bob Backstrom |
---|---|
date 日付 | September 27, 2022 16:30:33 UTC 2022 年 9 月 28 日 (水) 1 時 30 分 33 秒 (日本時間) |
composite number 合成数 | 21762151096389897082058445803320718313269829557940249423769425616858192148671933326070477148811432867313824695118959565357891835325933237474616426561670675849<158> |
prime factors 素因数 | 1379006283540103451435794623658697373889109516206657123<55> 15781038386948744440221425652675056280178018011746747360814356879331282459900765707501470269320577417763<104> |
factorization results 素因数分解の結果 | Number: n N=21762151096389897082058445803320718313269829557940249423769425616858192148671933326070477148811432867313824695118959565357891835325933237474616426561670675849 ( 158 digits) SNFS difficulty: 190 digits. Divisors found: Wed Sep 28 02:25:53 2022 p55 factor: 1379006283540103451435794623658697373889109516206657123 Wed Sep 28 02:25:53 2022 p104 factor: 15781038386948744440221425652675056280178018011746747360814356879331282459900765707501470269320577417763 Wed Sep 28 02:25:53 2022 elapsed time 00:36:12 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.346). Factorization parameters were as follows: # # N = 43x10^189-52 = 47(188)2 # n: 21762151096389897082058445803320718313269829557940249423769425616858192148671933326070477148811432867313824695118959565357891835325933237474616426561670675849 m: 50000000000000000000000000000000000000 deg: 5 c5: 172 c0: -65 skew: 0.82 # Murphy_E = 3.123e-11 type: snfs lss: 1 rlim: 10600000 alim: 10600000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 Factor base limits: 10600000/10600000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 54/54 Sieved special-q in [100000, 18100000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3297061 hash collisions in 28220599 relations (26543871 unique) Msieve: matrix is 1267532 x 1267757 (441.0 MB) Sieving start time : 2022/09/27 21:18:30 Sieving end time : 2022/09/28 01:49:15 Total sieving time: 4hrs 30min 45secs. Total relation processing time: 0hrs 27min 21sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 35sec. Prototype def-par.txt line would be: snfs,190,5,0,0,0,0,0,0,0,0,10600000,10600000,28,28,54,54,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 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 9, 2022 22:14:30 UTC 2022 年 7 月 10 日 (日) 7 時 14 分 30 秒 (日本時間) |
name 名前 | Bob Backstrom |
---|---|
date 日付 | July 12, 2022 15:24:29 UTC 2022 年 7 月 13 日 (水) 0 時 24 分 29 秒 (日本時間) |
composite number 合成数 | 299323591783240778189251976645529638616934197323608259855103264209171375604225363021969373546795202015313514762473784546371952255382512204853371969692129743968323865892200500415567<180> |
prime factors 素因数 | 31310782387087794950709773605183204531877843004842364847<56> 6254266992646229055800112659704132289471853287724126102076861<61> 1528518188557214599188069954867253773375472412914905284883510901<64> |
factorization results 素因数分解の結果 | Number: n N=299323591783240778189251976645529638616934197323608259855103264209171375604225363021969373546795202015313514762473784546371952255382512204853371969692129743968323865892200500415567 ( 180 digits) SNFS difficulty: 192 digits. Divisors found: Wed Jul 13 00:44:01 2022 found factor: 31310782387087794950709773605183204531877843004842364847 Wed Jul 13 00:47:58 2022 found factor: 31310782387087794950709773605183204531877843004842364847 Wed Jul 13 00:49:56 2022 p56 factor: 31310782387087794950709773605183204531877843004842364847 Wed Jul 13 00:49:56 2022 p61 factor: 6254266992646229055800112659704132289471853287724126102076861 Wed Jul 13 00:49:56 2022 p64 factor: 1528518188557214599188069954867253773375472412914905284883510901 Wed Jul 13 00:49:56 2022 elapsed time 00:58:30 (Msieve 1.54 - dependency 4) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.351). Factorization parameters were as follows: # # N = 43x10^191-52 = 47(190)2 # n: 299323591783240778189251976645529638616934197323608259855103264209171375604225363021969373546795202015313514762473784546371952255382512204853371969692129743968323865892200500415567 m: 100000000000000000000000000000000000000 deg: 5 c5: 215 c0: -26 skew: 0.66 # Murphy_E = 2.505e-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, 32800000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3296190 hash collisions in 29257967 relations (26963230 unique) Msieve: matrix is 1511274 x 1511499 (525.1 MB) Sieving start time : 2022/07/12 12:54:34 Sieving end time : 2022/07/12 23:02:01 Total sieving time: 10hrs 7min 27secs. Total relation processing time: 0hrs 42min 26sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 7min 55sec. 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) ---------- [ 0.118884] 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) |
name 名前 | Bob Backstrom |
---|---|
date 日付 | October 6, 2022 16:37:45 UTC 2022 年 10 月 7 日 (金) 1 時 37 分 45 秒 (日本時間) |
composite number 合成数 | 655957653824536232851700107338262717195933595770466134078583185345422463819467249194618433495946620478824801661732821797651709053427666184897351709747<150> |
prime factors 素因数 | 1274744503865828612472841144688409964249357237<46> 514579707412159280969536894945369379055633455112988737249428691002004755127657677023303242244944534524231<105> |
factorization results 素因数分解の結果 | GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM] Input number is 655957653824536232851700107338262717195933595770466134078583185345422463819467249194618433495946620478824801661732821797651709053427666184897351709747 (150 digits) Using B1=45090000, B2=240492732496, polynomial Dickson(12), sigma=1:3495085144 Step 1 took 81941ms Step 2 took 27569ms ********** Factor found in step 2: 1274744503865828612472841144688409964249357237 Found prime factor of 46 digits: 1274744503865828612472841144688409964249357237 Prime cofactor 514579707412159280969536894945369379055633455112988737249428691002004755127657677023303242244944534524231 has 105 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) | |
40 | 3e6 | 2350 | Ignacio Santos | July 12, 2022 13:53:44 UTC 2022 年 7 月 12 日 (火) 22 時 53 分 44 秒 (日本時間) |
name 名前 | Bob Backstrom |
---|---|
date 日付 | August 16, 2022 11:34:00 UTC 2022 年 8 月 16 日 (火) 20 時 34 分 0 秒 (日本時間) |
composite number 合成数 | 2413789072234101520353127161058992391624373862448114197104706987799122574586876078947353520518504246573680583707699140883090782792199194572539<142> |
prime factors 素因数 | 1803656478188289348906344580675063130557895481<46> 1338275387483246972812147980835715555032969803604188626017064087386195030115746827362977425086419<97> |
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 2413789072234101520353127161058992391624373862448114197104706987799122574586876078947353520518504246573680583707699140883090782792199194572539 (142 digits) Using B1=21620000, B2=96186870796, polynomial Dickson(12), sigma=1:2817686787 Step 1 took 43097ms Step 2 took 16845ms ********** Factor found in step 2: 1803656478188289348906344580675063130557895481 Found prime factor of 46 digits: 1803656478188289348906344580675063130557895481 Prime cofactor 1338275387483246972812147980835715555032969803604188626017064087386195030115746827362977425086419 has 97 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) | |
40 | 3e6 | 2350 | Ignacio Santos | July 18, 2022 13:24:58 UTC 2022 年 7 月 18 日 (月) 22 時 24 分 58 秒 (日本時間) |
name 名前 | Bob Backstrom |
---|---|
date 日付 | August 15, 2022 20:33:06 UTC 2022 年 8 月 16 日 (火) 5 時 33 分 6 秒 (日本時間) |
composite number 合成数 | 241738051394216892557185871691952708652443913770381987716448793147435571576281612244583222894942269695135552851008473006093270835425355710778032179<147> |
prime factors 素因数 | 13658864024120448569879720783245810663<38> 17698254479093360591156853125644322152021620392615296205705027560120101703390142948082711294484137911494578133<110> |
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 241738051394216892557185871691952708652443913770381987716448793147435571576281612244583222894942269695135552851008473006093270835425355710778032179 (147 digits) Using B1=11770000, B2=35134365640, polynomial Dickson(12), sigma=1:234946943 Step 1 took 23219ms Step 2 took 10104ms ********** Factor found in step 2: 13658864024120448569879720783245810663 Found prime factor of 38 digits: 13658864024120448569879720783245810663 Prime cofactor 17698254479093360591156853125644322152021620392615296205705027560120101703390142948082711294484137911494578133 has 110 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) | |
40 | 3e6 | 2350 | Ignacio Santos | July 26, 2022 09:40:41 UTC 2022 年 7 月 26 日 (火) 18 時 40 分 41 秒 (日本時間) |
name 名前 | Bob Backstrom |
---|---|
date 日付 | August 19, 2022 02:47:10 UTC 2022 年 8 月 19 日 (金) 11 時 47 分 10 秒 (日本時間) |
composite number 合成数 | 475874280655157149181053563523683045595396193005754758742806551571491810535635236830455953961930057547587428065515714918105356352368304559539619300575475874280655157149181053563523683045595396193<195> |
prime factors 素因数 | 258195140568769162514841567837596361211401179<45> 5716213225931366682976984128561167155193577047<46> 322430226702699037456302807272389413964283709049626061865739691041058493878190977685539617315469202581061<105> |
factorization results 素因数分解の結果 | Number: n N=1843079926318017151838098283552244998472068091103572400600233304003441541013179340878832363550317859244927508938911538255235474023779253906541566506867 ( 151 digits) SNFS difficulty: 198 digits. Divisors found: Fri Aug 19 12:32:01 2022 p46 factor: 5716213225931366682976984128561167155193577047 Fri Aug 19 12:32:01 2022 p105 factor: 322430226702699037456302807272389413964283709049626061865739691041058493878190977685539617315469202581061 Fri Aug 19 12:32:01 2022 elapsed time 01:21:09 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.356). Factorization parameters were as follows: # # N = 43x10^197-52 = 47(196)2 # # n: 475874280655157149181053563523683045595396193005754758742806551571491810535635236830455953961930057547587428065515714918105356352368304559539619300575475874280655157149181053563523683045595396193 # # GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] # Input number is 475874280655157149181053563523683045595396193005754758742806551571491810535635236830455953961930057547587428065515714918105356352368304559539619300575475874280655157149181053563523683045595396193 (195 digits) # Using B1=21080000, B2=96186180106, polynomial Dickson(12), sigma=1:3168312758 # Step 1 took 64948ms # ********** Factor found in step 1: 258195140568769162514841567837596361211401179 # Found prime factor of 45 digits: 258195140568769162514841567837596361211401179 # Composite cofactor 1843079926318017151838098283552244998472068091103572400600233304003441541013179340878832363550317859244927508938911538255235474023779253906541566506867 has 151 digits # n: 1843079926318017151838098283552244998472068091103572400600233304003441541013179340878832363550317859244927508938911538255235474023779253906541566506867 m: 1000000000000000000000000000000000000000 deg: 5 c5: 1075 c0: -13 skew: 0.41 # Murphy_E = 1.536e-11 type: snfs lss: 1 rlim: 14000000 alim: 14000000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 14000000/14000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved special-q in [100000, 27000000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3706586 hash collisions in 28506769 relations (26329596 unique) Msieve: matrix is 1864439 x 1864665 (651.2 MB) Sieving start time : 2022/08/19 03:15:11 Sieving end time : 2022/08/19 11:09:57 Total sieving time: 7hrs 54min 46secs. Total relation processing time: 1hrs 10min 7sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 2min 36sec. Prototype def-par.txt line would be: snfs,198,5,0,0,0,0,0,0,0,0,14000000,14000000,28,28,55,55,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 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 | September 4, 2022 16:36:06 UTC 2022 年 9 月 5 日 (月) 1 時 36 分 6 秒 (日本時間) |
composite number 合成数 | 168752710024405809427052149133706171348997427551635107061412275309767831029702713325036574167380058246913372463029490270293104824089384263105859984010357188051189197443043465571903<180> |
prime factors 素因数 | 389381227031882649722512878073274678976760548552400100904981601655093<69> 433386866929227401490545643348660032008307663107725829331899399593773859474526536410298132603198423073833307171<111> |
factorization results 素因数分解の結果 | Number: n N=168752710024405809427052149133706171348997427551635107061412275309767831029702713325036574167380058246913372463029490270293104824089384263105859984010357188051189197443043465571903 ( 180 digits) SNFS difficulty: 200 digits. Divisors found: Mon Sep 5 02:32:10 2022 p69 factor: 389381227031882649722512878073274678976760548552400100904981601655093 Mon Sep 5 02:32:10 2022 p111 factor: 433386866929227401490545643348660032008307663107725829331899399593773859474526536410298132603198423073833307171 Mon Sep 5 02:32:10 2022 elapsed time 01:25:06 (Msieve 1.54 - dependency 5) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.330). Factorization parameters were as follows: # # N = 43x10^199-52 = 47(198)2 # n: 168752710024405809427052149133706171348997427551635107061412275309767831029702713325036574167380058246913372463029490270293104824089384263105859984010357188051189197443043465571903 m: 1000000000000000000000000000000000 deg: 6 c6: 215 c0: -26 skew: 0.70 # Murphy_E = 1.247e-11 type: snfs lss: 1 rlim: 12300000 alim: 12300000 lpbr: 28 lpba: 28 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 12300000/12300000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 56/56 Sieved special-q in [100000, 26150000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 4067300 hash collisions in 28795706 relations (26661341 unique) Msieve: matrix is 1798673 x 1798899 (633.1 MB) Sieving start time : 2022/09/04 16:04:24 Sieving end time : 2022/09/05 01:06:30 Total sieving time: 9hrs 2min 6secs. Total relation processing time: 1hrs 1min 33sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 15min 15sec. Prototype def-par.txt line would be: snfs,200,6,0,0,0,0,0,0,0,0,12300000,12300000,28,28,56,56,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 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 | November 3, 2022 05:55:31 UTC 2022 年 11 月 3 日 (木) 14 時 55 分 31 秒 (日本時間) |
composite number 合成数 | 26269587049713495957705819835903781542710368393263329768504055745738490192262927182398805149768818810849027858334608005772639430997835181587896154176408300719065242368613864441074060801<185> |
prime factors 素因数 | 1142153836336556516842404261989279693194063<43> 23000042738527108257596136358203830671111675026789347846197452924784541880249524392141757658070852020311715915891557536876707019617185457079727<143> |
factorization results 素因数分解の結果 | Number: n N=26269587049713495957705819835903781542710368393263329768504055745738490192262927182398805149768818810849027858334608005772639430997835181587896154176408300719065242368613864441074060801 ( 185 digits) SNFS difficulty: 201 digits. Divisors found: Thu Nov 3 16:23:11 2022 p43 factor: 1142153836336556516842404261989279693194063 Thu Nov 3 16:23:11 2022 p143 factor: 23000042738527108257596136358203830671111675026789347846197452924784541880249524392141757658070852020311715915891557536876707019617185457079727 Thu Nov 3 16:23:11 2022 elapsed time 01:42:27 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.324). Factorization parameters were as follows: # # N = 43x10^200-52 = 47(199)2 # n: 26269587049713495957705819835903781542710368393263329768504055745738490192262927182398805149768818810849027858334608005772639430997835181587896154176408300719065242368613864441074060801 m: 10000000000000000000000000000000000000000 deg: 5 c5: 43 c0: -52 skew: 1.04 # Murphy_E = 1.203e-11 type: snfs lss: 1 rlim: 16100000 alim: 16100000 lpbr: 27 lpba: 27 mfbr: 55 mfba: 55 rlambda: 2.6 alambda: 2.6 Factor base limits: 16100000/16100000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 55/55 Sieved special-q in [100000, 35250000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 2227078 hash collisions in 14550902 relations (13007938 unique) Msieve: matrix is 2238874 x 2239099 (783.9 MB) Sieving start time : 2022/11/03 03:59:11 Sieving end time : 2022/11/03 14:40:23 Total sieving time: 10hrs 41min 12secs. Total relation processing time: 1hrs 34min 39sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 2min 48sec. Prototype def-par.txt line would be: snfs,201,5,0,0,0,0,0,0,0,0,16100000,16100000,27,27,55,55,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 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 / 2078 | Dmitry Domanov | September 15, 2022 14:47:07 UTC 2022 年 9 月 15 日 (木) 23 時 47 分 7 秒 (日本時間) |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | September 9, 2022 19:24:22 UTC 2022 年 9 月 10 日 (土) 4 時 24 分 22 秒 (日本時間) |
composite number 合成数 | 119335976412976977977341624231332533623247961142910932895959946359800562333981435802700232924259182436432905496386795587239501326608549101626601<144> |
prime factors 素因数 | 4900450723267382115761190071228114463382753<43> 24352040894191372477953537030317168026631071459488667441298935555630411881551644143608283871245156617<101> |
factorization results 素因数分解の結果 | Resuming ECM residue saved by @5e9fa7fd2646 with GMP-ECM 7.0.5-dev on Wed Sep 7 13:04:44 2022 Input number is 119335976412976977977341624231332533623247961142910932895959946359800562333981435802700232924259182436432905496386795587239501326608549101626601 (144 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1871952878 Step 1 took 0ms Step 2 took 7567ms ********** Factor found in step 2: 4900450723267382115761190071228114463382753 Found prime factor of 43 digits: 4900450723267382115761190071228114463382753 Prime cofactor 24352040894191372477953537030317168026631071459488667441298935555630411881551644143608283871245156617 has 101 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 | August 9, 2023 16:01:19 UTC 2023 年 8 月 10 日 (木) 1 時 1 分 19 秒 (日本時間) |
composite number 合成数 | 35276384089914792749919594570273302088959249980805145682327378746859198862060055826360487570831953383936985178033065514192164703105041317374693462585409509710911336801285274752318275081621<188> |
prime factors 素因数 | 42986115355531035438305550517006051025541479025097588239526345524711186029<74> 820646010883971877245154779917334730814732518219042126701677367431127831730008044823386567700517206426929179867849<114> |
factorization results 素因数分解の結果 | Number: n N=35276384089914792749919594570273302088959249980805145682327378746859198862060055826360487570831953383936985178033065514192164703105041317374693462585409509710911336801285274752318275081621 ( 188 digits) SNFS difficulty: 204 digits. Divisors found: Tue Aug 8 21:55:30 2023 prp74 factor: 42986115355531035438305550517006051025541479025097588239526345524711186029 Tue Aug 8 21:55:30 2023 prp114 factor: 820646010883971877245154779917334730814732518219042126701677367431127831730008044823386567700517206426929179867849 Tue Aug 8 21:55:30 2023 elapsed time 03:33:54 (Msieve 1.44 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.099). Factorization parameters were as follows: # # N = 43x10^203-52 = 47(202)2 # n: 35276384089914792749919594570273302088959249980805145682327378746859198862060055826360487570831953383936985178033065514192164703105041317374693462585409509710911336801285274752318275081621 m: 10000000000000000000000000000000000000000 deg: 5 c5: 10750 c0: -13 skew: 0.26 # Murphy_E = 7.72e-12 type: snfs lss: 1 rlim: 17600000 alim: 17600000 lpbr: 27 lpba: 27 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 17600000/17600000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 56/56 Sieved special-q in [100000, 48800000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3486248 hash collisions in 17996270 relations (15110339 unique) Msieve: matrix is 2556923 x 2557148 (721.3 MB) Sieving start time: 2023/08/07 21:03:18 Sieving end time : 2023/08/08 18:21:13 Total sieving time: 21hrs 17min 55secs. Total relation processing time: 3hrs 18min 46sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 10min 21sec. Prototype def-par.txt line would be: snfs,204,5,0,0,0,0,0,0,0,0,17600000,17600000,27,27,56,56,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 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 / 2078 | Dmitry Domanov | September 15, 2022 14:47:12 UTC 2022 年 9 月 15 日 (木) 23 時 47 分 12 秒 (日本時間) |
name 名前 | ebina |
---|---|
date 日付 | July 13, 2022 04:23:16 UTC 2022 年 7 月 13 日 (水) 13 時 23 分 16 秒 (日本時間) |
composite number 合成数 | 1194444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443<205> |
prime factors 素因数 | 10038068595608922564699273281088472543961<41> 118991460664748312475459150663102855655155288740984988482335889073713159892314002631071146339423050091129111360018641589764499253046723807184678577716347429745010963<165> |
factorization results 素因数分解の結果 | Z:\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:355972775 3e6 GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM] Input number is 1194444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443 (205 digits) Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:355972775 Step 1 took 9890ms Step 2 took 3266ms ********** Factor found in step 2: 10038068595608922564699273281088472543961 Found probable prime factor of 41 digits: 10038068595608922564699273281088472543961 Probable prime cofactor 118991460664748312475459150663102855655155288740984988482335889073713159892314002631071146339423050091129111360018641589764499253046723807184678577716347429745010963 has 165 digits |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 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 | January 27, 2024 14:45:19 UTC 2024 年 1 月 27 日 (土) 23 時 45 分 19 秒 (日本時間) |
composite number 合成数 | 2252668119309398724040360672485847568232883655544576710373422654869574459564831846140448191198259052286840007962319453491450782748744839199220597854487102578502749482196672293808549<181> |
prime factors 素因数 | 61187218413810359947050579088184275252109307021866922562751161243472907042983<77> 36815991602601706571463291159704110849730260705373608056107244487354534556140291199620814600956351701203<104> |
factorization results 素因数分解の結果 | Number: n N=2252668119309398724040360672485847568232883655544576710373422654869574459564831846140448191198259052286840007962319453491450782748744839199220597854487102578502749482196672293808549 ( 181 digits) SNFS difficulty: 206 digits. Divisors found: Sat Jan 27 21:08:01 2024 prp77 factor: 61187218413810359947050579088184275252109307021866922562751161243472907042983 Sat Jan 27 21:08:01 2024 prp104 factor: 36815991602601706571463291159704110849730260705373608056107244487354534556140291199620814600956351701203 Sat Jan 27 21:08:01 2024 elapsed time 03:12:33 (Msieve 1.44 - dependency 6) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.097). Factorization parameters were as follows: # # N = 43x10^205-52 = 47(204)2 # n: 2252668119309398724040360672485847568232883655544576710373422654869574459564831846140448191198259052286840007962319453491450782748744839199220597854487102578502749482196672293808549 m: 10000000000000000000000000000000000 deg: 6 c6: 215 c0: -26 skew: 0.70 # Murphy_E = 7.912e-12 type: snfs lss: 1 rlim: 19200000 alim: 19200000 lpbr: 27 lpba: 27 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 19200000/19200000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 56/56 Sieved special-q in [100000, 78400000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3398264 hash collisions in 19594766 relations (16882242 unique) Msieve: matrix is 2337619 x 2337844 (663.9 MB) Sieving start time: 2024/01/26 03:41:37 Sieving end time : 2024/01/27 17:55:02 Total sieving time: 38hrs 13min 25secs. Total relation processing time: 2hrs 44min 36sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 22min 30sec. Prototype def-par.txt line would be: snfs,206,6,0,0,0,0,0,0,0,0,19200000,19200000,27,27,56,56,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.119788] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1) [ 0.000000] Memory: 16175148K/16703460K available (16393K kernel code, 4393K rwdata, 10868K rodata, 3356K init, 18716K bss, 528052K reserved, 0K cma-reserved) [ 0.152950] x86/mm: Memory block size: 128MB [ 0.000009] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.18 BogoMIPS (lpj=11976368) [ 0.150283] smpboot: Total of 16 processors activated (95810.94 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 | 4142 | 1792 | Dmitry Domanov | September 15, 2022 14:47:18 UTC 2022 年 9 月 15 日 (木) 23 時 47 分 18 秒 (日本時間) |
2350 | Ignacio Santos | January 16, 2024 07:23:54 UTC 2024 年 1 月 16 日 (火) 16 時 23 分 54 秒 (日本時間) | |||
45 | 11e6 | 4480 | Ignacio Santos | January 16, 2024 10:25:26 UTC 2024 年 1 月 16 日 (火) 19 時 25 分 26 秒 (日本時間) |
name 名前 | Bob Backstrom |
---|---|
date 日付 | June 19, 2024 04:04:04 UTC 2024 年 6 月 19 日 (水) 13 時 4 分 4 秒 (日本時間) |
composite number 合成数 | 4783766380010470237072671432665946486571768152994267154510193950962419117279793331192831161452458766379565437541631983796554293816012374974960351885724562320920301576161<169> |
prime factors 素因数 | 2864893756703841670884264778715521437331<40> 1669788406225003331401756741657080420973943145668754811230102905354634463773369215895653201533864207795037845499917939868637391931<130> |
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 4783766380010470237072671432665946486571768152994267154510193950962419117279793331192831161452458766379565437541631983796554293816012374974960351885724562320920301576161 (169 digits) Using B1=70300000, B2=582190291420, polynomial Dickson(30), sigma=1:3178739127 Step 1 took 161092ms Step 2 took 73734ms ********** Factor found in step 2: 2864893756703841670884264778715521437331 Found prime factor of 40 digits: 2864893756703841670884264778715521437331 Prime cofactor 1669788406225003331401756741657080420973943145668754811230102905354634463773369215895653201533864207795037845499917939868637391931 has 130 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) | |
40 | 3e6 | 1792 / 2078 | Dmitry Domanov | September 15, 2022 14:47:26 UTC 2022 年 9 月 15 日 (木) 23 時 47 分 26 秒 (日本時間) |
name 名前 | Bob Backstrom |
---|---|
date 日付 | August 28, 2024 20:57:08 UTC 2024 年 8 月 29 日 (木) 5 時 57 分 8 秒 (日本時間) |
composite number 合成数 | 12321656833411027136987759718654140981191155269803071019046334983291805288473848966555880976224151639547948754731197681897819585410527410269418982173171656776345768188261864913<176> |
prime factors 素因数 | 45798600907325325528464746075041289172299411035244823270962172849170328554393<77> 269040027190879129183781756272292848301035138955694959836208717078163822989120806288830494837243641<99> |
factorization results 素因数分解の結果 | 08/27/24 05:12:46 v1.34.5 @ RYZEN-9, 08/27/24 05:12:46 v1.34.5 @ RYZEN-9, **************************** 08/27/24 05:12:46 v1.34.5 @ RYZEN-9, Starting factorization of 42999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999948 08/27/24 05:12:46 v1.34.5 @ RYZEN-9, using pretesting plan: normal 08/27/24 05:12:46 v1.34.5 @ RYZEN-9, no tune info: using qs/gnfs crossover of 125 digits 08/27/24 05:12:46 v1.34.5 @ RYZEN-9, **************************** 08/27/24 05:12:46 v1.34.5 @ RYZEN-9, div: found prime factor = 2 08/27/24 05:12:46 v1.34.5 @ RYZEN-9, div: found prime factor = 2 08/27/24 05:12:46 v1.34.5 @ RYZEN-9, div: found prime factor = 3 08/27/24 05:12:46 v1.34.5 @ RYZEN-9, div: found prime factor = 3 08/27/24 05:12:46 v1.34.5 @ RYZEN-9, div: found prime factor = 19 08/27/24 05:12:46 v1.34.5 @ RYZEN-9, div: found prime factor = 53 08/27/24 05:12:46 v1.34.5 @ RYZEN-9, div: found prime factor = 67 08/27/24 05:12:46 v1.34.5 @ RYZEN-9, div: found prime factor = 89 08/27/24 05:12:46 v1.34.5 @ RYZEN-9, rho: x^2 + 3, starting 1000 iterations on C201 08/27/24 05:12:46 v1.34.5 @ RYZEN-9, rho: x^2 + 2, starting 1000 iterations on C201 08/27/24 05:12:46 v1.34.5 @ RYZEN-9, prp6 = 260809 08/27/24 05:12:46 v1.34.5 @ RYZEN-9, rho: x^2 + 2, starting 1000 iterations on C195 08/27/24 05:12:46 v1.34.5 @ RYZEN-9, rho: x^2 + 1, starting 1000 iterations on C195 08/27/24 05:12:46 v1.34.5 @ RYZEN-9, pm1: starting B1 = 150K, B2 = gmp-ecm default on C195 08/27/24 05:12:47 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 0.00 08/27/24 05:12:47 v1.34.5 @ RYZEN-9, scheduled 30 curves at B1=2000 toward target pretesting depth of 60.00 08/27/24 05:12:47 v1.34.5 @ RYZEN-9, Finished 30 curves using Lenstra ECM method on C195 input, B1=2K, B2=gmp-ecm default 08/27/24 05:12:47 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 15.18 08/27/24 05:12:47 v1.34.5 @ RYZEN-9, scheduled 74 curves at B1=11000 toward target pretesting depth of 60.00 08/27/24 05:12:49 v1.34.5 @ RYZEN-9, Finished 74 curves using Lenstra ECM method on C195 input, B1=11K, B2=gmp-ecm default 08/27/24 05:12:49 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 20.24 08/27/24 05:12:49 v1.34.5 @ RYZEN-9, scheduled 214 curves at B1=50000 toward target pretesting depth of 60.00 08/27/24 05:12:50 v1.34.5 @ RYZEN-9, prp20 = 61898481034700160119 (curve 6 stg2 B1=50000 sigma=3629722310 thread=0) 08/27/24 05:12:50 v1.34.5 @ RYZEN-9, Finished 6 curves using Lenstra ECM method on C195 input, B1=50K, B2=gmp-ecm default 08/27/24 05:12:50 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 20.38 08/27/24 05:12:50 v1.34.5 @ RYZEN-9, scheduled 208 curves at B1=50000 toward target pretesting depth of 54.15 08/27/24 05:13:24 v1.34.5 @ RYZEN-9, nfs: commencing nfs on c209: 42999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999948 08/27/24 05:13:24 v1.34.5 @ RYZEN-9, nfs: input divides 43*10^207 - 52 08/27/24 05:13:24 v1.34.5 @ RYZEN-9, nfs: using supplied cofactor: 12321656833411027136987759718654140981191155269803071019046334983291805288473848966555880976224151639547948754731197681897819585410527410269418982173171656776345768188261864913 08/27/24 05:13:24 v1.34.5 @ RYZEN-9, nfs: commencing snfs on c176: 12321656833411027136987759718654140981191155269803071019046334983291805288473848966555880976224151639547948754731197681897819585410527410269418982173171656776345768188261864913 08/27/24 05:13:24 v1.34.5 @ RYZEN-9, gen: best 3 polynomials: n: 12321656833411027136987759718654140981191155269803071019046334983291805288473848966555880976224151639547948754731197681897819585410527410269418982173171656776345768188261864913 # 43*10^207-52, difficulty: 210.63, anorm: -6.03e+026, rnorm: 1.56e+047 # scaled difficulty: 214.04, suggest sieving rational side # size = 1.366e-014, alpha = 0.520, combined = 5.840e-012, rroots = 1 type: snfs size: 210 skew: 0.4135 c5: 1075 c0: -13 Y1: -1 Y0: 100000000000000000000000000000000000000000 m: 100000000000000000000000000000000000000000 n: 12321656833411027136987759718654140981191155269803071019046334983291805288473848966555880976224151639547948754731197681897819585410527410269418982173171656776345768188261864913 # 43*10^207-52, difficulty: 209.54, anorm: 1.32e+027, rnorm: 2.20e+047 # scaled difficulty: 212.91, suggest sieving rational side # size = 9.292e-015, alpha = -0.404, combined = 4.664e-012, rroots = 1 type: snfs size: 209 skew: 0.8271 c5: 1075 c0: -416 Y1: -1 Y0: 200000000000000000000000000000000000000000 m: 200000000000000000000000000000000000000000 n: 12321656833411027136987759718654140981191155269803071019046334983291805288473848966555880976224151639547948754731197681897819585410527410269418982173171656776345768188261864913 # 43*10^207-52, difficulty: 211.63, anorm: 8.83e+032, rnorm: 1.75e+040 # scaled difficulty: 212.85, suggest sieving rational side # size = 1.448e-010, alpha = -0.296, combined = 4.338e-012, rroots = 2 type: snfs size: 211 skew: 0.3264 c6: 10750 c0: -13 Y1: -1 Y0: 10000000000000000000000000000000000 m: 10000000000000000000000000000000000 08/27/24 05:13:25 v1.34.5 @ RYZEN-9, test: fb generation took 1.7500 seconds 08/27/24 05:13:25 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 0 on the rational side over range 21400000-21402000 skew: 0.4135 c5: 1075 c0: -13 Y1: -1 Y0: 100000000000000000000000000000000000000000 m: 100000000000000000000000000000000000000000 rlim: 21400000 alim: 21400000 mfbr: 56 mfba: 56 lpbr: 28 lpba: 28 rlambda: 2.60 alambda: 2.60 08/27/24 05:16:41 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file 08/27/24 05:16:43 v1.34.5 @ RYZEN-9, test: fb generation took 1.7656 seconds 08/27/24 05:16:43 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 1 on the rational side over range 21400000-21402000 skew: 0.8271 c5: 1075 c0: -416 Y1: -1 Y0: 200000000000000000000000000000000000000000 m: 200000000000000000000000000000000000000000 rlim: 21400000 alim: 21400000 mfbr: 56 mfba: 56 lpbr: 28 lpba: 28 rlambda: 2.60 alambda: 2.60 08/27/24 05:20:02 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file 08/27/24 05:20:04 v1.34.5 @ RYZEN-9, test: fb generation took 2.6406 seconds 08/27/24 05:20:04 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 2 on the rational side over range 22600000-22602000 skew: 0.3264 c6: 10750 c0: -13 Y1: -1 Y0: 10000000000000000000000000000000000 m: 10000000000000000000000000000000000 rlim: 22600000 alim: 22600000 mfbr: 58 mfba: 58 lpbr: 29 lpba: 29 rlambda: 2.60 alambda: 2.60 08/27/24 05:23:13 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file 08/27/24 05:23:13 v1.34.5 @ RYZEN-9, gen: selected polynomial: n: 12321656833411027136987759718654140981191155269803071019046334983291805288473848966555880976224151639547948754731197681897819585410527410269418982173171656776345768188261864913 # 43*10^207-52, difficulty: 210.63, anorm: -6.03e+026, rnorm: 1.56e+047 # scaled difficulty: 214.04, suggest sieving rational side # size = 1.366e-014, alpha = 0.520, combined = 5.840e-012, rroots = 1 type: snfs size: 210 skew: 0.4135 c5: 1075 c0: -13 Y1: -1 Y0: 100000000000000000000000000000000000000000 m: 100000000000000000000000000000000000000000 08/28/24 09:01:29 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering 08/28/24 09:03:36 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 22179613 08/28/24 10:48:37 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering 08/28/24 10:50:50 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 23438100 08/28/24 12:36:54 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering 08/28/24 12:39:14 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 24681400 08/28/24 14:39:50 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering 08/28/24 14:42:16 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 26067623 08/28/24 16:42:03 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering 08/28/24 16:46:42 v1.34.5 @ RYZEN-9, nfs: commencing msieve linear algebra 08/28/24 20:48:41 v1.34.5 @ RYZEN-9, nfs: commencing msieve sqrt 08/28/24 20:52:45 v1.34.5 @ RYZEN-9, prp77 = 45798600907325325528464746075041289172299411035244823270962172849170328554393 08/28/24 20:52:45 v1.34.5 @ RYZEN-9, prp99 = 269040027190879129183781756272292848301035138955694959836208717078163822989120806288830494837243641 08/28/24 20:52:45 v1.34.5 @ RYZEN-9, NFS elapsed time = 142761.7353 seconds. 08/28/24 20:52:45 v1.34.5 @ RYZEN-9, 08/28/24 20:52:45 v1.34.5 @ RYZEN-9, 08/27/24 05:23:13 v1.34.5 @ RYZEN-9, test: test sieving took 589.41 seconds |
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) | |
40 | 3e6 | 4142 | 1792 | Dmitry Domanov | September 15, 2022 14:47:31 UTC 2022 年 9 月 15 日 (木) 23 時 47 分 31 秒 (日本時間) |
2350 | Ignacio Santos | August 20, 2024 08:45:08 UTC 2024 年 8 月 20 日 (火) 17 時 45 分 8 秒 (日本時間) | |||
45 | 11e6 | 4480 | Ignacio Santos | August 20, 2024 17:09:36 UTC 2024 年 8 月 21 日 (水) 2 時 9 分 36 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 | 4142 | 1792 | Dmitry Domanov | September 15, 2022 14:47:36 UTC 2022 年 9 月 15 日 (木) 23 時 47 分 36 秒 (日本時間) |
2350 | Ignacio Santos | August 29, 2024 10:11:55 UTC 2024 年 8 月 29 日 (木) 19 時 11 分 55 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
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 | 2078 | ebina | August 14, 2022 22:22:05 UTC 2022 年 8 月 15 日 (月) 7 時 22 分 5 秒 (日本時間) |
name 名前 | Ignacio Santos |
---|---|
date 日付 | July 2, 2022 11:49:38 UTC 2022 年 7 月 2 日 (土) 20 時 49 分 38 秒 (日本時間) |
composite number 合成数 | 36156692987927314868102613140113854359570527944106795555826286605605651072845067424321700587082335856382736525579515930444373<125> |
prime factors 素因数 | 345746033853663693016008108425117850871<39> |
composite cofactor 合成数の残り | 104575872020647854428417784849223548280786664457472712489140439530743315349654444524563<87> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:92401273 Step 1 took 2469ms ********** Factor found in step 2: 345746033853663693016008108425117850871 Found prime factor of 39 digits: 345746033853663693016008108425117850871 Composite cofactor 104575872020647854428417784849223548280786664457472712489140439530743315349654444524563 has 87 digits |
software ソフトウェア | GMP-ECM |
name 名前 | Ignacio Santos |
---|---|
date 日付 | July 2, 2022 18:29:09 UTC 2022 年 7 月 3 日 (日) 3 時 29 分 9 秒 (日本時間) |
composite number 合成数 | 104575872020647854428417784849223548280786664457472712489140439530743315349654444524563<87> |
prime factors 素因数 | 27737820048330874705349258825390861776819<41> 3770154678285207022485152048575835920854700577<46> |
factorization results 素因数分解の結果 | 1045758 72020647854428417784849223548280786664457472712489140439530743315349654444524563 (87 dígitos) = 27737820048330874705349258825390861776819 (41 dígitos) × 377015 4678285207022485152048575835920854700577 (46 dígitos) |
software ソフトウェア | Alpertron |
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 10:48:29 UTC 2022 年 7 月 6 日 (水) 19 時 48 分 29 秒 (日本時間) |
composite number 合成数 | 100924060979583417689395533955116356526054323119194379740022003739653793721309189956727051324547686012896443208642783677529<123> |
prime factors 素因数 | 55239161882799861671360214186015670126096652454251<50> 1827038237721863917524893766946125426163192028924676304353228160103816779<73> |
factorization results 素因数分解の結果 | 100924060979583417689395533955116356526054323119194379740022003739653793721309189956727051324547686012896443208642783677529=55239161882799861671360214186015670126096652454251*1827038237721863917524893766946125426163192028924676304353228160103816779 cado polynomial n: 100924060979583417689395533955116356526054323119194379740022003739653793721309189956727051324547686012896443208642783677529 skew: 29317.37 c0: 4085073726986557178922649680 c1: -1244995824625479945366570 c2: -24831623108029791193 c3: 196971447331559 c4: -13321425658 c5: 551040 Y0: -205715970467812340030803 Y1: 48980628231092759 # MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 3.360e-07 # f(x) = 551040*x^5-13321425658*x^4+196971447331559*x^3-24831623108029791193*x^2-1244995824625479945366570*x+4085073726986557178922649680 # g(x) = 48980628231092759*x-205715970467812340030803 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 = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 55239161882799861671360214186015670126096652454251 1827038237721863917524893766946125426163192028924676304353228160103816779 Info:Square Root: Total cpu/real time for sqrt: 429.14/126.454 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 125.12/109.3 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 97.2s Info:Generate Free Relations: Total cpu/real time for freerel: 128.37/83.8238 Info:Square Root: Total cpu/real time for sqrt: 429.14/126.454 Info:Filtering - Singleton removal: Total cpu/real time for purge: 62.8/66.0797 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 11634297 Info:Lattice Sieving: Average J: 3782.58 for 145478 special-q, max bucket fill -bkmult 1.0,1s:1.134100 Info:Lattice Sieving: Total time: 48152.5s Info:Generate Factor Base: Total cpu/real time for makefb: 8.29/6.56729 Info:Linear Algebra: Total cpu/real time for bwc: 6278.18/1617.18 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 3918.74, WCT time 1003.94, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (20736 iterations) Info:Linear Algebra: Lingen CPU time 113.17, WCT time 28.75 Info:Linear Algebra: Mksol: CPU time 2148.81, WCT time 549.51, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (10240 iterations) Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 49.93/57.8897 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 57.7s Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 2648.35 Info:Polynomial Selection (root optimized): Rootsieve time: 2645.74 Info:Filtering - Merging: Merged matrix has 655446 rows and total weight 111985045 (170.9 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 131.86/38.1812 Info:Filtering - Merging: Total cpu/real time for replay: 23.49/19.447 Info:Quadratic Characters: Total cpu/real time for characters: 24.05/9.48199 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): 20153/36.470/43.423/47.910/0.897 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15665/33.520/38.821/44.160/0.882 Info:Polynomial Selection (size optimized): Total time: 2027.07 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 94527.9/28809.2 Info:root: Cleaning up computation data in /tmp/cado.fux5gr49 55239161882799861671360214186015670126096652454251 1827038237721863917524893766946125426163192028924676304353228160103816779 |
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 11:22:21 UTC 2022 年 7 月 2 日 (土) 20 時 22 分 21 秒 (日本時間) | |
45 | 11e6 | 4480 | Ignacio Santos | July 3, 2022 21:13:56 UTC 2022 年 7 月 4 日 (月) 6 時 13 分 56 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 | 4142 | 1792 | Dmitry Domanov | September 15, 2022 14:47:54 UTC 2022 年 9 月 15 日 (木) 23 時 47 分 54 秒 (日本時間) |
2350 | Ignacio Santos | August 31, 2024 10:52:24 UTC 2024 年 8 月 31 日 (土) 19 時 52 分 24 秒 (日本時間) |
name 名前 | Erik Branger |
---|---|
date 日付 | September 23, 2022 20:06:53 UTC 2022 年 9 月 24 日 (土) 5 時 6 分 53 秒 (日本時間) |
composite number 合成数 | 30404314906803418543123498012110459987915125486094877593614371948482812854615635307317107747076707320033636295544982277654479652389412543166746043441936978845979675607325908794617982521<185> |
prime factors 素因数 | 93462803243310691169866240753043891094611753683245062655675919<62> 325309255144554126307849641527101126726420436697895654613979844515326071262125343796168607682778091098943543658188652840759<123> |
factorization results 素因数分解の結果 | Number: 47772_220 N = 30404314906803418543123498012110459987915125486094877593614371948482812854615635307317107747076707320033636295544982277654479652389412543166746043441936978845979675607325908794617982521 (185 digits) SNFS difficulty: 222 digits. Divisors found: r1=93462803243310691169866240753043891094611753683245062655675919 (pp62) r2=325309255144554126307849641527101126726420436697895654613979844515326071262125343796168607682778091098943543658188652840759 (pp123) Version: Msieve v. 1.52 (SVN unknown) Total time: 49.58 hours. Factorization parameters were as follows: n: 30404314906803418543123498012110459987915125486094877593614371948482812854615635307317107747076707320033636295544982277654479652389412543166746043441936978845979675607325908794617982521 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 43 c0: -52 skew: 1.00 type: snfs lss: 1 rlim: 536870912 alim: 60000000 lpbr: 29 lpba: 28 mfbr: 58 mfba: 56 rlambda: 2.8 alambda: 2.8 side: 1 Number of cores used: 6 Number of threads per core: 1 Factor base limits: 536870912/60000000 Large primes per side: 3 Large prime bits: 29/28 Total raw relations: 30467540 Relations: 8555306 relations Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G rational relations. Total batch smoothness checking time: 20.99 hours. Total relation processing time: 0.40 hours. Pruned matrix : 7278303 x 7278528 Matrix solve time: 27.57 hours. time per square root: 0.61 hours. Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000 total time: 49.58 hours. Intel64 Family 6 Model 158 Stepping 10, GenuineIntel Windows-10-10.0.22000-SP0 processors: 12, speed: 3.19GHz |
software ソフトウェア | GGNFS, NFS_factory, 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) | |
40 | 3e6 | 1792 / 2078 | Dmitry Domanov | September 15, 2022 14:47:55 UTC 2022 年 9 月 15 日 (木) 23 時 47 分 55 秒 (日本時間) |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | September 8, 2022 09:39:36 UTC 2022 年 9 月 8 日 (木) 18 時 39 分 36 秒 (日本時間) |
composite number 合成数 | 799683246481724175909792536254000403082348485075503902683784621833316001554754721552989051364062705385722470227421308792048090734284315514338915327060463184435137<162> |
prime factors 素因数 | 4856546561893671659474798013854841721<37> |
composite cofactor 合成数の残り | 164660883261440517900339964960560064048087821971090856208108226912966720076486029558095835779339993417486438539565084710364297<126> |
factorization results 素因数分解の結果 | Resuming ECM residue saved by @5e9fa7fd2646 with GMP-ECM 7.0.5-dev on Wed Sep 7 13:27:51 2022 Input number is 799683246481724175909792536254000403082348485075503902683784621833316001554754721552989051364062705385722470227421308792048090734284315514338915327060463184435137 (162 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1410802015 Step 1 took 1ms Step 2 took 8162ms ********** Factor found in step 2: 4856546561893671659474798013854841721 Found prime factor of 37 digits: 4856546561893671659474798013854841721 Composite cofactor 164660883261440517900339964960560064048087821971090856208108226912966720076486029558095835779339993417486438539565084710364297 has 126 digits |
name 名前 | Norman Powell |
---|---|
date 日付 | September 9, 2022 22:12:18 UTC 2022 年 9 月 10 日 (土) 7 時 12 分 18 秒 (日本時間) |
composite number 合成数 | 164660883261440517900339964960560064048087821971090856208108226912966720076486029558095835779339993417486438539565084710364297<126> |
prime factors 素因数 | 33832415105690057485835781519703828355079029603<47> 4866956223700011803367849619912073071350073082405293039528633684070967712971299<79> |
factorization results 素因数分解の結果 | Command line parameters: ./cado-nfs.py workdir=temp 1646....4297 If this computation gets interrupted, it can be resumed with ./cado-nfs.py temp/c125.parameters_snapshot.0 Process finished successfully Square Root: finished Square Root: Factors: 4866956223700011803367849619912073071350073082405293039528633684070967712971299 33832415105690057485835781519703828355079029603 Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 181887/26181.5, (7.27 hours). |
software ソフトウェア | CADO-NFS |
execution environment 実行環境 | Ubuntu 20.04.4. Xeon E5-1620. |
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 | 4142 | 1792 | Dmitry Domanov | September 8, 2022 09:39:30 UTC 2022 年 9 月 8 日 (木) 18 時 39 分 30 秒 (日本時間) |
2350 | Ignacio Santos | September 8, 2022 15:33:29 UTC 2022 年 9 月 9 日 (金) 0 時 33 分 29 秒 (日本時間) |
name 名前 | Ignacio Santos |
---|---|
date 日付 | August 31, 2024 10:52:49 UTC 2024 年 8 月 31 日 (土) 19 時 52 分 49 秒 (日本時間) |
composite number 合成数 | 224333394933034762486278478588450624247626661994478333759378886307439931506266658294971594050155494323886354949116938851777404122262519324417622337071377044705199833248982319548039<180> |
prime factors 素因数 | 8339864604256599992915882099754887038049<40> |
composite cofactor 合成数の残り | 26898925291729172351318418492588389402603637582310095231322074846981905884966501350248024306520628311014078566489582560994642772306174145511<140> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4099053384 Step 1 took 5547ms Step 2 took 2453ms ********** Factor found in step 2: 8339864604256599992915882099754887038049 Found prime factor of 40 digits: 8339864604256599992915882099754887038049 Composite cofactor 26898925291729172351318418492588389402603637582310095231322074846981905884966501350248024306520628311014078566489582560994642772306174145511 has 140 digits |
software ソフトウェア | GMP-ECM |
name 名前 | Bob Backstrom |
---|---|
date 日付 | September 6, 2024 14:59:59 UTC 2024 年 9 月 6 日 (金) 23 時 59 分 59 秒 (日本時間) |
composite number 合成数 | 26898925291729172351318418492588389402603637582310095231322074846981905884966501350248024306520628311014078566489582560994642772306174145511<140> |
prime factors 素因数 | 268357371797667097728425827227761665854651119766667<51> 100235462553307849505482890955457930762483659874354307921393488329938423280579693215536533<90> |
factorization results 素因数分解の結果 | CADO-NFS: STA:Fri Sep 6 07:38:10 AM AEST 2024 (26898925291729172351318418492588389402603637582310095231322074846981905884966501350248024306520628311014078566489582560994642772306174145511 - C140) /home/bob/Downloads/Math/cado-nfs/cado-nfs.py -t 18 --no-colors 26898925291729172351318418492588389402603637582310095231322074846981905884966501350248024306520628311014078566489582560994642772306174145511 2>&1 | tee -a log-65 /home/bob/Downloads/Math/cado-nfs/cado-nfs.py:93: DeprecationWarning: 'locale.getdefaultlocale' is deprecated and slated for removal in Python 3.15. Use setlocale(), getencoding() and getlocale() instead. loc = locale.getdefaultlocale()[1] Info:root: Using default parameter file /home/bob/Downloads/Math/cado-nfs/parameters/factor/params.c140 Info:root: No database exists yet Info:root: Created temporary directory /tmp/cado.xirnsoe1 Info:Database: Opened connection to database /tmp/cado.xirnsoe1/c140.db Info:root: Set tasks.threads=18 based on --server-threads 18 Info:root: tasks.threads = 18 [via tasks.threads] Info:root: tasks.polyselect.threads = 2 [via tasks.polyselect.threads] Info:root: tasks.sieve.las.threads = 2 [via tasks.sieve.las.threads] Info:root: tasks.linalg.bwc.threads = 18 [via tasks.threads] Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads] Info:root: slaves.scriptpath is /home/bob/Downloads/Math/cado-nfs/build/VM9 Info:root: Command line parameters: /home/bob/Downloads/Math/cado-nfs/cado-nfs.py -t 18 --no-colors 26898925291729172351318418492588389402603637582310095231322074846981905884966501350248024306520628311014078566489582560994642772306174145511 Info:root: If this computation gets interrupted, it can be resumed with /home/bob/Downloads/Math/cado-nfs/cado-nfs.py /tmp/cado.xirnsoe1/c140.parameters_snapshot.0 Info:Server Launcher: Adding VM9 to whitelist to allow clients on localhost to connect Info:HTTP server: Using non-threaded HTTPS server Info:HTTP server: Using whitelist: localhost,VM9 Info:Lattice Sieving: param rels_wanted is 71000000 === Info:Polynomial Selection (root optimized): Best polynomial is: n: 26898925291729172351318418492588389402603637582310095231322074846981905884966501350248024306520628311014078566489582560994642772306174145511 skew: 314473.547 c0: -393029143968228973660214740779960 c1: -76329271983848362108666474 c2: 50052847153052328695145 c3: 1505659158893299 c4: -159873242694 c5: 113400 Y0: -676829021336512080518522799 Y1: 2176677731610934177393 # MurphyE (Bf=1.074e+09,Bg=1.074e+09,area=8.053e+13) = 1.261e-06 # f(x) = 113400*x^5-159873242694*x^4+1505659158893299*x^3+50052847153052328695145*x^2-76329271983848362108666474*x-393029143968228973660214740779960 # g(x) = 2176677731610934177393*x-676829021336512080518522799 dd Info:Polynomial Selection (root optimized): Best overall polynomial was 10-th in list after size optimization === Info:Square Root: Starting Info:Square Root: Creating file of (a,b) values Info:Square Root: finished Info:Square Root: Factors: 100235462553307849505482890955457930762483659874354307921393488329938423280579693215536533 268357371797667097728425827227761665854651119766667 Info:Complete Factorization / Discrete logarithm: Square Root Info:Square Root: Total cpu/real time for sqrt: 2057.66/248.956 Info:HTTP server: Got notification to stop serving Workunits Info:Quadratic Characters: Total cpu/real time for characters: 56.34/15.1968 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 309.09/274.198 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 273.6s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1083.9/902.271 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 654.3s Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 2212.07 Info:Polynomial Selection (root optimized): Rootsieve time: 2211.6 Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 93020.2 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 64475/40.940/52.158/63.900/2.453 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 54951/40.400/45.241/56.500/1.407 Info:Polynomial Selection (size optimized): Total time: 18258.7 Info:Generate Factor Base: Total cpu/real time for makefb: 3.71/0.680934 Info:Filtering - Singleton removal: Total cpu/real time for purge: 504.04/471.531 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 76772834 Info:Lattice Sieving: Average J: 3821.03 for 775074 special-q, max bucket fill -bkmult 1.0,1s:1.193320 Info:Lattice Sieving: Total time: 470269s Info:Filtering - Merging: Total cpu/real time for merge: 159.01/26.5107 Info:Filtering - Merging: Total cpu/real time for replay: 32.66/28.5414 Info:Linear Algebra: Total cpu/real time for bwc: 35135.9/4729.91 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 20874.07, WCT time 2764.24, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (60000 iterations) Info:Linear Algebra: Lingen CPU time 72.54, WCT time 73.65 Info:Linear Algebra: Mksol: CPU time 11388.53, WCT time 1535.01, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (32000 iterations) Info:Generate Free Relations: Total cpu/real time for freerel: 437.89/54.2608 Info:Square Root: Total cpu/real time for sqrt: 2057.66/248.956 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 508652/60775 [16:52:55] Info:root: Cleaning up computation data in /tmp/cado.xirnsoe1 100235462553307849505482890955457930762483659874354307921393488329938423280579693215536533 268357371797667097728425827227761665854651119766667 END:Sat Sep 7 12:31:06 AM AEST 2024 (26898925291729172351318418492588389402603637582310095231322074846981905884966501350248024306520628311014078566489582560994642772306174145511 - C140) |
software ソフトウェア | CADO-NFS |
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 | 4142 | 1792 | Dmitry Domanov | September 15, 2022 14:47:59 UTC 2022 年 9 月 15 日 (木) 23 時 47 分 59 秒 (日本時間) |
2350 | Ignacio Santos | September 5, 2024 16:01:02 UTC 2024 年 9 月 6 日 (金) 1 時 1 分 2 秒 (日本時間) |
name 名前 | Seth Troisi |
---|---|
date 日付 | November 29, 2023 17:10:14 UTC 2023 年 11 月 30 日 (木) 2 時 10 分 14 秒 (日本時間) |
composite number 合成数 | 1291305466785302852328593060518896970288765646747037099867019740164977857748215323416777112538818780370481265732948296616441264418287364246740216919666854468270409230402441<172> |
prime factors 素因数 | 7691775436863063933058363873589084757992959<43> 167881326929629635903693053185960032716758023962353756980935247933605268958444537471747971059295692361853920859582672541940180599<129> |
factorization results 素因数分解の結果 | Resuming P-1 residue saved by five@five with GMP-ECM 7.0.6-dev on Sun Nov 19 11:33:53 2023 Input number is 1291305466785302852328593060518896970288765646747037099867019740164977857748215323416777112538818780370481265732948296616441264418287364246740216919666854468270409230402441 (172 digits) Using mpz_mod Using lmax = 16777216 with NTT which takes about 4224MB of memory Using B1=4000000000-4000000000, B2=2114508355760232, polynomial x^1 P = 111546435, l = 16777216, s_1 = 7299072, k = s_2 = 5, m_1 = 13 Probability of finding a factor of n digits (assuming one exists): 20 25 30 35 40 45 50 55 60 65 0.77 0.5 0.25 0.11 0.04 0.013 0.0039 0.0011 0.00026 6.1e-05 Step 1 took 0ms Computing F from factored S_1 took 68769ms Computing h took 7267ms Computing DCT-I of h took 22768ms Multi-point evaluation 1 of 5: Computing g_i took 26113ms Computing g*h took 46605ms Computing gcd of coefficients and N took 11395ms Step 2 took 183524ms ********** Factor found in step 2: 7691775436863063933058363873589084757992959 Found prime factor of 43 digits: 7691775436863063933058363873589084757992959 Prime cofactor 167881326929629635903693053185960032716758023962353756980935247933605268958444537471747971059295692361853920859582672541940180599 has 129 digits |
execution environment 実行環境 | 1080 Ti for stage 1 |
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 / 2078 | Dmitry Domanov | September 15, 2022 14:47:59 UTC 2022 年 9 月 15 日 (木) 23 時 47 分 59 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 | 4142 | 1792 | Dmitry Domanov | September 15, 2022 14:48:05 UTC 2022 年 9 月 15 日 (木) 23 時 48 分 5 秒 (日本時間) |
2350 | Ignacio Santos | August 31, 2024 10:53:39 UTC 2024 年 8 月 31 日 (土) 19 時 53 分 39 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
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 | 4142 | 1792 | Dmitry Domanov | September 15, 2022 14:48:09 UTC 2022 年 9 月 15 日 (木) 23 時 48 分 9 秒 (日本時間) |
2350 | Ignacio Santos | August 31, 2024 11:04:56 UTC 2024 年 8 月 31 日 (土) 20 時 4 分 56 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 | 4142 | 1792 | Dmitry Domanov | September 15, 2022 14:48:14 UTC 2022 年 9 月 15 日 (木) 23 時 48 分 14 秒 (日本時間) |
2350 | Ignacio Santos | August 31, 2024 11:16:37 UTC 2024 年 8 月 31 日 (土) 20 時 16 分 37 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 | 4142 | 1792 | Dmitry Domanov | September 15, 2022 14:48:19 UTC 2022 年 9 月 15 日 (木) 23 時 48 分 19 秒 (日本時間) |
2350 | Ignacio Santos | August 31, 2024 14:34:59 UTC 2024 年 8 月 31 日 (土) 23 時 34 分 59 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 | 4142 | 1792 | Dmitry Domanov | September 15, 2022 14:48:24 UTC 2022 年 9 月 15 日 (木) 23 時 48 分 24 秒 (日本時間) |
2350 | Ignacio Santos | August 31, 2024 14:35:10 UTC 2024 年 8 月 31 日 (土) 23 時 35 分 10 秒 (日本時間) |
name 名前 | Ignacio Santos |
---|---|
date 日付 | August 31, 2024 14:35:56 UTC 2024 年 8 月 31 日 (土) 23 時 35 分 56 秒 (日本時間) |
composite number 合成数 | 64006460255379546595964057287690456618022791166014887645272691180224305800762932796832495360106892385140181677143942409720995675125394033698756929520632153511306571856639833618707829405510487156270637848586903530487405247<221> |
prime factors 素因数 | 56229499867448064361200805150304969<35> 1138307479281594293508953343595950608854975611723055691792653232981734048106824181817124256634324979269394892621205999855768914682561204360144720790629090874164868923206580504189260993863<187> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3813791696 Step 1 took 9594ms Step 2 took 4250ms ********** Factor found in step 2: 56229499867448064361200805150304969 Found prime factor of 35 digits: 56229499867448064361200805150304969 Prime cofactor 1138307479281594293508953343595950608854975611723055691792653232981734048106824181817124256634324979269394892621205999855768914682561204360144720790629090874164868923206580504189260993863 has 187 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) |
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 | 4142 | 1792 | Dmitry Domanov | September 15, 2022 14:48:30 UTC 2022 年 9 月 15 日 (木) 23 時 48 分 30 秒 (日本時間) |
2350 | Ignacio Santos | August 31, 2024 14:36:11 UTC 2024 年 8 月 31 日 (土) 23 時 36 分 11 秒 (日本時間) |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | September 9, 2022 23:24:17 UTC 2022 年 9 月 10 日 (土) 8 時 24 分 17 秒 (日本時間) |
composite number 合成数 | 150933987405842851976749087497345360004955604769892361298156901296886332802446113671775824933865856245104977151620967974119300745756776205205269713000720706444553188197548370290101873767901784901186990397<204> |
prime factors 素因数 | 1600274938043067489814915968863818921<37> |
composite cofactor 合成数の残り | 94317534954597178413553329445578024521518415898958413024908242765258363176177923375220462878709773029565172302449826643941613204983740346120581288412150140780585123957<167> |
factorization results 素因数分解の結果 | Resuming ECM residue saved by @5e9fa7fd2646 with GMP-ECM 7.0.5-dev on Wed Sep 7 14:23:52 2022 Input number is 150933987405842851976749087497345360004955604769892361298156901296886332802446113671775824933865856245104977151620967974119300745756776205205269713000720706444553188197548370290101873767901784901186990397 (204 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2306260892 Step 1 took 0ms Step 2 took 11122ms ********** Factor found in step 2: 1600274938043067489814915968863818921 Found prime factor of 37 digits: 1600274938043067489814915968863818921 Composite cofactor 94317534954597178413553329445578024521518415898958413024908242765258363176177923375220462878709773029565172302449826643941613204983740346120581288412150140780585123957 has 167 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) | |
40 | 3e6 | 4142 | 1792 | Dmitry Domanov | September 9, 2022 23:24:11 UTC 2022 年 9 月 10 日 (土) 8 時 24 分 11 秒 (日本時間) |
2350 | Ignacio Santos | August 31, 2024 14:53:16 UTC 2024 年 8 月 31 日 (土) 23 時 53 分 16 秒 (日本時間) |
name 名前 | Seth Troisi |
---|---|
date 日付 | November 15, 2023 17:15:05 UTC 2023 年 11 月 16 日 (木) 2 時 15 分 5 秒 (日本時間) |
composite number 合成数 | 1860154074178734188874609041481400916318821634312837334731051741314978144385265004896057291017043857612228925859930273120299294386725852125743886406321298169723424377110962602817291404922117712850668374718568567409287869879<223> |
prime factors 素因数 | 432907204073232239655094010983227828959<39> |
composite cofactor 合成数の残り | 4296888701958545845038686372958883979458713747641393382432978538191159220443469718879188928619674294371712040515351457728812812757092116889124183332606093141585259239786208444975523881<184> |
factorization results 素因数分解の結果 | 432907204073232239655094010983227828959 B1=1e9, B2=1e12 |
software ソフトウェア | GMP-ECM 7.0.6 dev |
execution environment 実行環境 | 1080 TI for stage 1 |
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 | August 31, 2024 15:06:26 UTC 2024 年 9 月 1 日 (日) 0 時 6 分 26 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 | August 31, 2024 15:13:53 UTC 2024 年 9 月 1 日 (日) 0 時 13 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) | |
40 | 3e6 | 4142 | 1792 | Dmitry Domanov | September 15, 2022 14:48:52 UTC 2022 年 9 月 15 日 (木) 23 時 48 分 52 秒 (日本時間) |
2350 | Ignacio Santos | August 31, 2024 15:29:16 UTC 2024 年 9 月 1 日 (日) 0 時 29 分 16 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 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 | August 31, 2024 15:45:49 UTC 2024 年 9 月 1 日 (日) 0 時 45 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) | |
40 | 3e6 | 4142 | 1792 | Dmitry Domanov | September 15, 2022 14:49:41 UTC 2022 年 9 月 15 日 (木) 23 時 49 分 41 秒 (日本時間) |
2350 | Ignacio Santos | August 31, 2024 15:56:59 UTC 2024 年 9 月 1 日 (日) 0 時 56 分 59 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 | August 31, 2024 16:09:38 UTC 2024 年 9 月 1 日 (日) 1 時 9 分 38 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 | August 31, 2024 16:19:19 UTC 2024 年 9 月 1 日 (日) 1 時 19 分 19 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 | 2209 | 1792 | Dmitry Domanov | September 15, 2022 14:49:45 UTC 2022 年 9 月 15 日 (木) 23 時 49 分 45 秒 (日本時間) |
417 | Thomas Kozlowski | October 2, 2024 06:16:41 UTC 2024 年 10 月 2 日 (水) 15 時 16 分 41 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
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 | 2203 | Thomas Kozlowski | October 2, 2024 06:32:47 UTC 2024 年 10 月 2 日 (水) 15 時 32 分 47 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 | 2192 | 1792 | Dmitry Domanov | September 15, 2022 14:49:50 UTC 2022 年 9 月 15 日 (木) 23 時 49 分 50 秒 (日本時間) |
400 | Thomas Kozlowski | October 2, 2024 06:35:41 UTC 2024 年 10 月 2 日 (水) 15 時 35 分 41 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
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 | 2209 | 1792 | Dmitry Domanov | September 15, 2022 14:49:54 UTC 2022 年 9 月 15 日 (木) 23 時 49 分 54 秒 (日本時間) |
417 | Thomas Kozlowski | October 2, 2024 06:37:56 UTC 2024 年 10 月 2 日 (水) 15 時 37 分 56 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 | 2208 | 1792 | Dmitry Domanov | September 15, 2022 14:49:59 UTC 2022 年 9 月 15 日 (木) 23 時 49 分 59 秒 (日本時間) |
416 | Thomas Kozlowski | October 2, 2024 06:40:31 UTC 2024 年 10 月 2 日 (水) 15 時 40 分 31 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 | 2207 | 1792 | Dmitry Domanov | September 15, 2022 14:50:03 UTC 2022 年 9 月 15 日 (木) 23 時 50 分 3 秒 (日本時間) |
415 | Thomas Kozlowski | October 2, 2024 06:43:08 UTC 2024 年 10 月 2 日 (水) 15 時 43 分 8 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 | 2204 | 1792 | Dmitry Domanov | September 15, 2022 14:50:07 UTC 2022 年 9 月 15 日 (木) 23 時 50 分 7 秒 (日本時間) |
412 | Thomas Kozlowski | October 2, 2024 06:45:23 UTC 2024 年 10 月 2 日 (水) 15 時 45 分 23 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 | 2200 | Thomas Kozlowski | October 2, 2024 07:01:27 UTC 2024 年 10 月 2 日 (水) 16 時 1 分 27 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 | 2200 | Thomas Kozlowski | October 2, 2024 07:17:30 UTC 2024 年 10 月 2 日 (水) 16 時 17 分 30 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 | 2203 | 1792 | Dmitry Domanov | September 15, 2022 14:50:12 UTC 2022 年 9 月 15 日 (木) 23 時 50 分 12 秒 (日本時間) |
411 | Thomas Kozlowski | October 2, 2024 07:20:04 UTC 2024 年 10 月 2 日 (水) 16 時 20 分 4 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 | 2209 | 1792 | Dmitry Domanov | September 15, 2022 14:50:16 UTC 2022 年 9 月 15 日 (木) 23 時 50 分 16 秒 (日本時間) |
417 | Thomas Kozlowski | October 2, 2024 07:22:23 UTC 2024 年 10 月 2 日 (水) 16 時 22 分 23 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 | 2201 | Thomas Kozlowski | October 2, 2024 07:38:26 UTC 2024 年 10 月 2 日 (水) 16 時 38 分 26 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 | 2209 | Thomas Kozlowski | October 2, 2024 07:54:33 UTC 2024 年 10 月 2 日 (水) 16 時 54 分 33 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
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 | 2201 | Thomas Kozlowski | October 2, 2024 08:12:23 UTC 2024 年 10 月 2 日 (水) 17 時 12 分 23 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 | 2205 | Thomas Kozlowski | October 2, 2024 08:28:34 UTC 2024 年 10 月 2 日 (水) 17 時 28 分 34 秒 (日本時間) |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | September 10, 2022 16:14:02 UTC 2022 年 9 月 11 日 (日) 1 時 14 分 2 秒 (日本時間) |
composite number 合成数 | 492728256525294878630493409302189446051867325175416735173194186126375641578464879388551414448015553718632512311639917509854392028692898389425728646095668840425030014052531460127877723180563520649751995502485761<210> |
prime factors 素因数 | 12948467765741030854304450657125235627266483<44> |
composite cofactor 合成数の残り | 38053016421676701711484473318750853060653870644765961029386024253195524434893268739452230052033877125005424031548397086158914654462190934623211575953877658455584415867<167> |
factorization results 素因数分解の結果 | Resuming ECM residue saved by @5e9fa7fd2646 with GMP-ECM 7.0.5-dev on Wed Sep 7 14:32:42 2022 Input number is 492728256525294878630493409302189446051867325175416735173194186126375641578464879388551414448015553718632512311639917509854392028692898389425728646095668840425030014052531460127877723180563520649751995502485761 (210 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1505858081 Step 1 took 0ms Step 2 took 10613ms ********** Factor found in step 2: 12948467765741030854304450657125235627266483 Found prime factor of 44 digits: 12948467765741030854304450657125235627266483 Composite cofactor 38053016421676701711484473318750853060653870644765961029386024253195524434893268739452230052033877125005424031548397086158914654462190934623211575953877658455584415867 has 167 digits |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | July 5, 2024 07:37:04 UTC 2024 年 7 月 5 日 (金) 16 時 37 分 4 秒 (日本時間) |
composite number 合成数 | 38053016421676701711484473318750853060653870644765961029386024253195524434893268739452230052033877125005424031548397086158914654462190934623211575953877658455584415867<167> |
prime factors 素因数 | 1139283956094131444827567623381833517562031<43> 33400818310595637340376124499284065846602993324479714544616332586582405352052203877553085382372712541372948546147555628167157<125> |
factorization results 素因数分解の結果 | Resuming ECM residue saved by @54c9a2442f05 with GMP-ECM 7.0.5-dev on Wed Jul 3 17:58:54 2024 Input number is 38053016421676701711484473318750853060653870644765961029386024253195524434893268739452230052033877125005424031548397086158914654462190934623211575953877658455584415867 (167 digits) Using B1=43000000-43000000, B2=240490660426, polynomial Dickson(12), sigma=3:1028073054 Step 1 took 0ms Step 2 took 22519ms ********** Factor found in step 2: 1139283956094131444827567623381833517562031 Found prime factor of 43 digits: 1139283956094131444827567623381833517562031 Prime cofactor 33400818310595637340376124499284065846602993324479714544616332586582405352052203877553085382372712541372948546147555628167157 has 125 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) | |
40 | 3e6 | 4142 | 1792 | Dmitry Domanov | September 10, 2022 16:13:56 UTC 2022 年 9 月 11 日 (日) 1 時 13 分 56 秒 (日本時間) |
2350 | Ignacio Santos | September 13, 2022 08:28:48 UTC 2022 年 9 月 13 日 (火) 17 時 28 分 48 秒 (日本時間) | |||
45 | 11e6 | 4480 | Ignacio Santos | September 16, 2022 10:20:38 UTC 2022 年 9 月 16 日 (金) 19 時 20 分 38 秒 (日本時間) | |
50 | 43e6 | 1792 / 6385 | Dmitry Domanov | June 30, 2024 18:24:57 UTC 2024 年 7 月 1 日 (月) 3 時 24 分 57 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 | 2202 | 1792 | Dmitry Domanov | September 15, 2022 14:50:26 UTC 2022 年 9 月 15 日 (木) 23 時 50 分 26 秒 (日本時間) |
410 | Thomas Kozlowski | October 2, 2024 08:31:29 UTC 2024 年 10 月 2 日 (水) 17 時 31 分 29 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 | 2200 | Thomas Kozlowski | October 2, 2024 08:49:21 UTC 2024 年 10 月 2 日 (水) 17 時 49 分 21 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
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 | 2203 | 1792 | Dmitry Domanov | September 15, 2022 14:50:31 UTC 2022 年 9 月 15 日 (木) 23 時 50 分 31 秒 (日本時間) |
411 | Thomas Kozlowski | October 2, 2024 08:52:14 UTC 2024 年 10 月 2 日 (水) 17 時 52 分 14 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
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 | 2201 | Thomas Kozlowski | October 2, 2024 09:06:20 UTC 2024 年 10 月 2 日 (水) 18 時 6 分 20 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
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 | 2200 | Thomas Kozlowski | October 2, 2024 09:26:17 UTC 2024 年 10 月 2 日 (水) 18 時 26 分 17 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
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 | 2200 | 1792 | Dmitry Domanov | September 15, 2022 14:50:36 UTC 2022 年 9 月 15 日 (木) 23 時 50 分 36 秒 (日本時間) |
408 | Thomas Kozlowski | October 2, 2024 09:29:11 UTC 2024 年 10 月 2 日 (水) 18 時 29 分 11 秒 (日本時間) |
name 名前 | Ignacio Santos |
---|---|
date 日付 | June 29, 2022 20:16:05 UTC 2022 年 6 月 30 日 (木) 5 時 16 分 5 秒 (日本時間) |
composite number 合成数 | 3013706477090046497854480657794718683883906876668560775218051060738664356498735897811796396211394623645188934547545679226279054564078161761526119117680114528048468735536034014412336127<184> |
prime factors 素因数 | 445949591513428299852779725921571<33> |
composite cofactor 合成数の残り | 6757953218125772575464799076738883480752630630849102155972823584173997902107162843739215303449012109854469283493371098251226132695504809285556001778037<151> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2263534835 Step 1 took 6062ms Step 2 took 3625ms ********** Factor found in step 2: 445949591513428299852779725921571 Found prime factor of 33 digits: 445949591513428299852779725921571 Composite cofactor 6757953218125772575464799076738883480752630630849102155972823584173997902107162843739215303449012109854469283493371098251226132695504809285556001778037 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 | June 30, 2022 14:35:55 UTC 2022 年 6 月 30 日 (木) 23 時 35 分 55 秒 (日本時間) | |
45 | 11e6 | 4480 | Ignacio Santos | July 1, 2022 08:41:14 UTC 2022 年 7 月 1 日 (金) 17 時 41 分 14 秒 (日本時間) | |
50 | 43e6 | 6454 | Ignacio Santos | January 19, 2024 15:04:25 UTC 2024 年 1 月 20 日 (土) 0 時 4 分 25 秒 (日本時間) |
name 名前 | Thomas Kozlowski |
---|---|
date 日付 | October 2, 2024 09:32:29 UTC 2024 年 10 月 2 日 (水) 18 時 32 分 29 秒 (日本時間) |
composite number 合成数 | 421093404168936302066679423186151663715234809993371648564878977507837086535452452571327794219348243871251241871459328814212887749719010928730563520209655927892796773337042956792684483163673122351292062779219691627820670745118243113<231> |
prime factors 素因数 | 6541945207158010958410290305366883457001<40> 64368225479508424911742405657367386867512673424346502509471267409387641566992860929333992116873165240620458844077845604706010097989916459569276884077226911252414149084634177314517385173602113<191> |
factorization results 素因数分解の結果 | GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM] Input number is 421093404168936302066679423186151663715234809993371648564878977507837086535452452571327794219348243871251241871459328814212887749719010928730563520209655927892796773337042956792684483163673122351292062779219691627820670745118243113 (231 digits) Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1554633473 Step 1 took 10302ms Step 2 took 4651ms Run 2 out of 0: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2239679050 Step 1 took 10210ms Step 2 took 4655ms Run 3 out of 0: ... Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2189975690 Step 1 took 10217ms Step 2 took 4646ms Run 9 out of 0: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2347428371 Step 1 took 10506ms Step 2 took 4635ms ** Factor found in step 2: 6541945207158010958410290305366883457001 Found prime factor of 40 digits: 6541945207158010958410290305366883457001 Prime cofactor 64368225479508424911742405657367386867512673424346502509471267409387641566992860929333992116873165240620458844077845604706010097989916459569276884077226911252414149084634177314517385173602113 has 191 digits |
execution environment 実行環境 | 2x Xeon E5-2698v4, 128GB DDR4, Ubuntu Server 24.04 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
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 | Thomas Kozlowski |
---|---|
date 日付 | October 2, 2024 09:33:19 UTC 2024 年 10 月 2 日 (水) 18 時 33 分 19 秒 (日本時間) |
composite number 合成数 | 24138059637486706700930364121862687713298230234137359995828204522541912011022072616235849467832504624523376824381721721193804201797585765991401934338811888588339904062789866848622415136404324637310275173972499627936831455248556950196051573785981<245> |
prime factors 素因数 | 146088565659846157060833959604328769<36> 165228945389812146147430646233321164357980593997430761734179055715420093189917359436638268799513547589071070663483043235723819409723890286355496485876276803037117236518723694570038487285249195501378571146002749<210> |
factorization results 素因数分解の結果 | GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM] Input number is 24138059637486706700930364121862687713298230234137359995828204522541912011022072616235849467832504624523376824381721721193804201797585765991401934338811888588339904062789866848622415136404324637310275173972499627936831455248556950196051573785981 (245 digits) Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1664928393 Step 1 took 12115ms Step 2 took 4980ms Run 2 out of 0: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2861721219 Step 1 took 11832ms Step 2 took 5141ms ** Factor found in step 2: 146088565659846157060833959604328769 Found prime factor of 36 digits: 146088565659846157060833959604328769 Prime cofactor 165228945389812146147430646233321164357980593997430761734179055715420093189917359436638268799513547589071070663483043235723819409723890286355496485876276803037117236518723694570038487285249195501378571146002749 has 210 digits |
execution environment 実行環境 | 2x Xeon E5-2698v4, 128GB DDR4, Ubuntu Server 24.04 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
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 | September 7, 2022 14:50:47 UTC 2022 年 9 月 7 日 (水) 23 時 50 分 47 秒 (日本時間) |
composite number 合成数 | 820814465012680004758029962904954871654839280932769942466796822002716030605237681574512944715232764981305862195640590960387007014101555186515750032519259717101591523513106000126105530620754775355585379265067691354750817<219> |
prime factors 素因数 | 890255678962743882475350953124778518647<39> 921998572330399132366927532770700212092851047355841538365456753809529969718027708316260511830009693077710065170189685996642401558604205754933098150639276142399874275528748124923111<180> |
factorization results 素因数分解の結果 | GPU: factor 890255678962743882475350953124778518647 found in Step 1 with curve 1112 (-sigma 3:1659810091) Computing 1792 Step 1 took 214ms of CPU time / 175176ms of GPU time Throughput: 10.230 curves per second (on average 97.75ms per Step 1) ********** Factor found in step 1: 890255678962743882475350953124778518647 Found prime factor of 39 digits: 890255678962743882475350953124778518647 Prime cofactor 921998572330399132366927532770700212092851047355841538365456753809529969718027708316260511830009693077710065170189685996642401558604205754933098150639276142399874275528748124923111 has 180 digits Peak memory usage: 9428MB |
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 | 2200 | Thomas Kozlowski | October 2, 2024 09:51:51 UTC 2024 年 10 月 2 日 (水) 18 時 51 分 51 秒 (日本時間) |
name 名前 | Thomas Kozlowski |
---|---|
date 日付 | October 2, 2024 09:55:16 UTC 2024 年 10 月 2 日 (水) 18 時 55 分 16 秒 (日本時間) |
composite number 合成数 | 45932893647035349391601369701323621273840857987588402782810284885664107944551230440864352655954219764778800128689361576023573029399062790719732440870226747782565163392067731641447480122795906319963989934516576044018252049911448740931690713260414384438623434426632609<266> |
prime factors 素因数 | 61041298965849632684170289473414421<35> 752488797342486407798992355312538062659229987060210882975717062609659664355462001613531615901239304345358056436320470111334130029211367929831223932557340875298746527403882968043966681305050362718883858561999926785879233229018926429<231> |
factorization results 素因数分解の結果 | kurumi finished gmp-ecm ecm40_47772_281, b1=3e6, 237 curves, FACTOR FOUND, FACTOR FOUND, not submitting @TKoz GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM] Input number is 45932893647035349391601369701323621273840857987588402782810284885664107944551230440864352655954219764778800128689361576023573029399062790719732440870226747782565163392067731641447480122795906319963989934516576044018252049911448740931690713260414384438623434426632609 (266 digits) Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3552060072 Step 1 took 14469ms Step 2 took 5765ms Run 2 out of 0: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2139100503 Step 1 took 15390ms Step 2 took 5636ms Run 3 out of 0: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3789455240 Step 1 took 16277ms Step 2 took 6918ms Run 4 out of 0: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2985793582 Step 1 took 15566ms Step 2 took 6459ms Run 5 out of 0: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2269309470 Step 1 took 17023ms Step 2 took 6687ms Run 6 out of 0: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1789638544 Step 1 took 17076ms Step 2 took 7457ms ** Factor found in step 2: 61041298965849632684170289473414421 Found prime factor of 35 digits: 61041298965849632684170289473414421 Prime cofactor 752488797342486407798992355312538062659229987060210882975717062609659664355462001613531615901239304345358056436320470111334130029211367929831223932557340875298746527403882968043966681305050362718883858561999926785879233229018926429 has 231 digits |
execution environment 実行環境 | 2x Xeon E5-2698v4, 128GB DDR4, Ubuntu Server 24.04 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
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 | Thomas Kozlowski |
---|---|
date 日付 | October 2, 2024 10:00:31 UTC 2024 年 10 月 2 日 (水) 19 時 0 分 31 秒 (日本時間) |
composite number 合成数 | 814271554947533659137146006162861507154814771179341431907617837852773051453853987958934085513814030736416802172374203739085910740957729836688043176861714340704509648455872911358524611860763345946257496574521753664303682002070499133<231> |
prime factors 素因数 | 12010339273806683049526757272975641499<38> 67797548127834850237285806925159317643741909368255575006525112778519768303985132288737410006569814550295991257987636412406274389506016381330060276354671157724692107370295273282880997535476431367<194> |
factorization results 素因数分解の結果 | GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM] Input number is 814271554947533659137146006162861507154814771179341431907617837852773051453853987958934085513814030736416802172374203739085910740957729836688043176861714340704509648455872911358524611860763345946257496574521753664303682002070499133 (231 digits) Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2026936878 Step 1 took 10328ms Step 2 took 4554ms Run 2 out of 0: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:265993371 Step 1 took 10348ms Step 2 took 4525ms Run 3 out of 0: ... Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3290940279 Step 1 took 10355ms Step 2 took 4506ms Run 15 out of 0: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1310395240 Step 1 took 10404ms Step 2 took 4529ms ** Factor found in step 2: 12010339273806683049526757272975641499 Found prime factor of 38 digits: 12010339273806683049526757272975641499 Prime cofactor 67797548127834850237285806925159317643741909368255575006525112778519768303985132288737410006569814550295991257987636412406274389506016381330060276354671157724692107370295273282880997535476431367 has 194 digits |
execution environment 実行環境 | 2x Xeon E5-2698v4, 128GB DDR4, Ubuntu Server 24.04 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
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 | Thomas Kozlowski |
---|---|
date 日付 | October 2, 2024 10:01:10 UTC 2024 年 10 月 2 日 (水) 19 時 1 分 10 秒 (日本時間) |
composite number 合成数 | 1673635122233043600796827686207801550829624199977696406526268351249487382114485766750536172216183801959220243759966607060910224948890737440511163168908413275303648806655320956797288665513508619264219247956373182786558482666040316790238225868460191<247> |
prime factors 素因数 | 4321237950690533553982343356523576744359<40> |
composite cofactor 合成数の残り | 387304550531774537674924224699536651834758829648949621425520273683863707992852776449362718023718086490055150887207044997165073518771133840210626696914101377811918674748826305333769248991910519595611189477449<207> |
factorization results 素因数分解の結果 | GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM] Input number is 1673635122233043600796827686207801550829624199977696406526268351249487382114485766750536172216183801959220243759966607060910224948890737440511163168908413275303648806655320956797288665513508619264219247956373182786558482666040316790238225868460191 (247 digits) Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3829625112 Step 1 took 13377ms Step 2 took 4892ms Run 2 out of 0: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2568915934 Step 1 took 11762ms ** Factor found in step 1: 4321237950690533553982343356523576744359 Found prime factor of 40 digits: 4321237950690533553982343356523576744359 Composite cofactor 387304550531774537674924224699536651834758829648949621425520273683863707992852776449362718023718086490055150887207044997165073518771133840210626696914101377811918674748826305333769248991910519595611189477449 has 207 digits |
execution environment 実行環境 | 2x Xeon E5-2698v4, 128GB DDR4, Ubuntu Server 24.04 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
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 | October 5, 2024 15:25:27 UTC 2024 年 10 月 6 日 (日) 0 時 25 分 27 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 | 2201 | Thomas Kozlowski | October 2, 2024 10:14:24 UTC 2024 年 10 月 2 日 (水) 19 時 14 分 24 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 | 2201 | Thomas Kozlowski | October 2, 2024 10:30:25 UTC 2024 年 10 月 2 日 (水) 19 時 30 分 25 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
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 | 2200 | Thomas Kozlowski | October 2, 2024 10:44:49 UTC 2024 年 10 月 2 日 (水) 19 時 44 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) | |
40 | 3e6 | 2200 | Thomas Kozlowski | October 2, 2024 11:02:47 UTC 2024 年 10 月 2 日 (水) 20 時 2 分 47 秒 (日本時間) |
name 名前 | Thomas Kozlowski |
---|---|
date 日付 | October 2, 2024 16:49:52 UTC 2024 年 10 月 3 日 (木) 1 時 49 分 52 秒 (日本時間) |
composite number 合成数 | 45397706218384293530927835772837115589282359370315191804434323648652086814558908357722455311410336208333608020983064566762929539229252499791524371221091102980082932663860846113414359118883719563088229253624741001173892301262360082667909843<239> |
prime factors 素因数 | 96795876531575912947476315862801424564197<41> |
composite cofactor 合成数の残り | 469004546940334248481848005521784179747255084461577212508919870534138730032028566132787308677796878461493718609741096289769526727482770260286731783686200491458426634785368085625521750350995728223319<198> |
factorization results 素因数分解の結果 | GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM] Input number is 45397706218384293530927835772837115589282359370315191804434323648652086814558908357722455311410336208333608020983064566762929539229252499791524371221091102980082932663860846113414359118883719563088229253624741001173892301262360082667909843 (239 digits) Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3234005267 Step 1 took 11852ms Step 2 took 5029ms Run 2 out of 0: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1970855567 Step 1 took 12052ms Step 2 took 4934ms Run 3 out of 0: ... Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:91500092 Step 1 took 13111ms Step 2 took 4881ms Run 7 out of 0: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1225258140 Step 1 took 11990ms Step 2 took 4928ms ** Factor found in step 2: 96795876531575912947476315862801424564197 Found prime factor of 41 digits: 96795876531575912947476315862801424564197 Composite cofactor 469004546940334248481848005521784179747255084461577212508919870534138730032028566132787308677796878461493718609741096289769526727482770260286731783686200491458426634785368085625521750350995728223319 has 198 digits |
execution environment 実行環境 | 2x Xeon E5-2698v4, 128GB DDR4, Ubuntu Server 24.04 |
name 名前 | Thomas Kozlowski |
---|---|
date 日付 | October 6, 2024 18:54:01 UTC 2024 年 10 月 7 日 (月) 3 時 54 分 1 秒 (日本時間) |
composite number 合成数 | 469004546940334248481848005521784179747255084461577212508919870534138730032028566132787308677796878461493718609741096289769526727482770260286731783686200491458426634785368085625521750350995728223319<198> |
prime factors 素因数 | 3779631703569124028706190932567441492018853<43> 124087367162639429837246856367784046264973100461552536970989965225249723103760265456429990157572740793257029322194711454089762711768031945920311575944974923<156> |
factorization results 素因数分解の結果 | GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM] Input number is 469004546940334248481848005521784179747255084461577212508919870534138730032028566132787308677796878461493718609741096289769526727482770260286731783686200491458426634785368085625521750350995728223319 (198 digits) Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1676532456 Step 1 took 14036ms Step 2 took 3930ms Run 2 out of 0: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1164180218 Step 1 took 8880ms ********** Factor found in step 1: 3779631703569124028706190932567441492018853 Found prime factor of 43 digits: 3779631703569124028706190932567441492018853 Prime cofactor 124087367162639429837246856367784046264973100461552536970989965225249723103760265456429990157572740793257029322194711454089762711768031945920311575944974923 has 156 digits |
execution environment 実行環境 | 2x Xeon E5-2698v4, 128GB DDR4, Ubuntu Server 24.04 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
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 | October 5, 2024 15:25:58 UTC 2024 年 10 月 6 日 (日) 0 時 25 分 58 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 | 2202 | Thomas Kozlowski | October 2, 2024 11:24:46 UTC 2024 年 10 月 2 日 (水) 20 時 24 分 46 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
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 | 2200 | Thomas Kozlowski | October 2, 2024 11:44:35 UTC 2024 年 10 月 2 日 (水) 20 時 44 分 35 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
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 07:38:36 UTC 2022 年 7 月 1 日 (金) 16 時 38 分 36 秒 (日本時間) | |
45 | 11e6 | 3584 | Dmitry Domanov | July 9, 2022 14:16:03 UTC 2022 年 7 月 9 日 (土) 23 時 16 分 3 秒 (日本時間) | |
50 | 43e6 | 130 / 6675 | Dmitry Domanov | July 9, 2022 14:16:03 UTC 2022 年 7 月 9 日 (土) 23 時 16 分 3 秒 (日本時間) |