## 3×10116-2

### c115

name 名前 Eric Jeancolas May 30, 2022 18:05:46 UTC 2022 年 5 月 31 日 (火) 3 時 5 分 46 秒 (日本時間) `3488372093023255813953488372093023255813953488372093023255813953488372093023255813953488372093023255813953488372093<115>` ```368643715422801214772616190585684322916518831<45> 9462719550291007926278807807837446473664075618651176411307198994707603<70>``` ```3488372093023255813953488372093023255813953488372093023255813953488372093023255813953488372093023255813953488372093=368643715422801214772616190585684322916518831*9462719550291007926278807807837446473664075618651176411307198994707603 cado polynomial n: 3488372093023255813953488372093023255813953488372093023255813953488372093023255813953488372093023255813953488372093 skew: 0.90 type: snfs c0: -2 c4: 3 Y0: 100000000000000000000000000000 Y1: -1 # f(x) = 3*x^4-2 # g(x) = -x+100000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 610000 tasks.lim1 = 610000 tasks.lpb0 = 25 tasks.lpb1 = 25 tasks.sieve.mfb0 = 45 tasks.sieve.mfb1 = 45 tasks.sieve.lambda0 = 2.2 tasks.sieve.lambda1 = 2.2 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 368643715422801214772616190585684322916518831 9462719550291007926278807807837446473664075618651176411307198994707603 Info:Square Root: Total cpu/real time for sqrt: 5.42/1.92184 Info:Filtering - Singleton removal: Total cpu/real time for purge: 31.58/26.8688 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 3507455 Info:Lattice Sieving: Average J: 1896.99 for 13596 special-q, max bucket fill -bkmult 1.0,1s:1.345470 Info:Lattice Sieving: Total time: 2449.18s Info:Linear Algebra: Total cpu/real time for bwc: 32.97/9.82 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 16.67, WCT time 4.81, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (1472 iterations) Info:Linear Algebra: Lingen CPU time 4.24, WCT time 1.12 Info:Linear Algebra: Mksol: CPU time 9.48, WCT time 2.9, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (768 iterations) Info:Generate Free Relations: Total cpu/real time for freerel: 18.3/14.0424 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 11.57/11.6057 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 11.5s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 23.57/24.8432 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 18.299999999999997s Info:Filtering - Merging: Merged matrix has 46448 rows and total weight 7899649 (170.1 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 9.79/2.73102 Info:Filtering - Merging: Total cpu/real time for replay: 1.43/1.17998 Info:Generate Factor Base: Total cpu/real time for makefb: 0.31/0.434374 Info:Quadratic Characters: Total cpu/real time for characters: 1.48/0.578131 Info:Square Root: Total cpu/real time for sqrt: 5.42/1.92184 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2723.1/1429.58 Info:root: Cleaning up computation data in /tmp/cado.f11t9m4t 368643715422801214772616190585684322916518831 9462719550291007926278807807837446473664075618651176411307198994707603``` `cado-nfs-3.0.0` ```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)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10117-2

### c113

name 名前 Eric Jeancolas May 30, 2022 19:15:57 UTC 2022 年 5 月 31 日 (火) 4 時 15 分 57 秒 (日本時間) `26627376493352031668826442760016331457582589246090213551559476683293983988070935330978289812365753643512683507003<113>` ```5850422646632603156141105239489849302870707270326550881<55> 4551359466085457119955242111026724211215472821893494081563<58>``` ```26627376493352031668826442760016331457582589246090213551559476683293983988070935330978289812365753643512683507003=5850422646632603156141105239489849302870707270326550881*4551359466085457119955242111026724211215472821893494081563 cado polynomial n: 26627376493352031668826442760016331457582589246090213551559476683293983988070935330978289812365753643512683507003 skew: 0.51 type: snfs c0: -1 c4: 15 Y0: 100000000000000000000000000000 Y1: -1 # f(x) = 15*x^4-1 # g(x) = -x+100000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 630000 tasks.lim1 = 630000 tasks.lpb0 = 25 tasks.lpb1 = 25 tasks.sieve.mfb0 = 45 tasks.sieve.mfb1 = 45 tasks.sieve.lambda0 = 2.2 tasks.sieve.lambda1 = 2.2 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 5850422646632603156141105239489849302870707270326550881 4551359466085457119955242111026724211215472821893494081563 Info:Square Root: Total cpu/real time for sqrt: 6.06/2.88199 Info:Filtering - Singleton removal: Total cpu/real time for purge: 29.52/41.2655 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 3213105 Info:Lattice Sieving: Average J: 1897.17 for 12809 special-q, max bucket fill -bkmult 1.0,1s:1.375930 Info:Lattice Sieving: Total time: 2609.94s Info:Generate Free Relations: Total cpu/real time for freerel: 18.21/6.0853 Info:Linear Algebra: Total cpu/real time for bwc: 85.34/84.81 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 17.25, WCT time 20.52, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (1536 iterations) Info:Linear Algebra: Lingen CPU time 55.47, WCT time 55.02 Info:Linear Algebra: Mksol: CPU time 9.78, WCT time 6.13, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (768 iterations) Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 10.87/18.5114 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 18.3s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 24.07/45.0749 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 39.5s Info:Filtering - Merging: Merged matrix has 48445 rows and total weight 8254007 (170.4 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 18.95/16.0312 Info:Filtering - Merging: Total cpu/real time for replay: 1.56/1.8097 Info:Generate Factor Base: Total cpu/real time for makefb: 0.33/0.179999 Info:Quadratic Characters: Total cpu/real time for characters: 1.63/0.8743 Info:Square Root: Total cpu/real time for sqrt: 6.06/2.88199 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2618.19/1812.31 Info:root: Cleaning up computation data in /tmp/cado.0msekrjz 5850422646632603156141105239489849302870707270326550881 4551359466085457119955242111026724211215472821893494081563``` `cado-nfs-3.0.0` ```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)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10127-2

### c120

name 名前 Dmitry Domanov May 31, 2022 13:15:27 UTC 2022 年 5 月 31 日 (火) 22 時 15 分 27 秒 (日本時間) `208131414063836485522913041682297914005677630719674999744345246391587516949355147133577395629692643599332541980695922349<120>` ```2954270438145512959293364454882837173515816240816427739<55> 70451036362969877416636447726923458775428932163931748802605747991<65>``` ```N=208131414063836485522913041682297914005677630719674999744345246391587516949355147133577395629692643599332541980695922349 ( 120 digits) SNFS difficulty: 127 digits. Divisors found: p55 factor: 2954270438145512959293364454882837173515816240816427739 p65 factor: 70451036362969877416636447726923458775428932163931748802605747991 Version: Msieve v. 1.54 (SVN 1043M) Total time: 1.84 hours. Scaled time: 0.00 units (timescale=0.000). Factorization parameters were as follows: n: 208131414063836485522913041682297914005677630719674999744345246391587516949355147133577395629692643599332541980695922349 m: 50000000000000000000000000000000 deg: 4 c4: 12 c0: -5 skew: 0.80 # Murphy_E = 1.968e-08 type: snfs lss: 1 rlim: 950000 alim: 950000 lpbr: 26 lpba: 26 mfbr: 46 mfba: 46 rlambda: 2.3 alambda: 2.3 Factor base limits: 950000/950000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 46/46 Sieved rational special-q in [475000, 850001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 102761 x 102988 Total sieving time: 1.80 hours. Total relation processing time: 0.02 hours. Matrix solve time: 0.02 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,127.000,4,0,0,0,0,0,0,0,0,950000,950000,26,26,46,46,2.3,2.3,75000 total time: 1.84 hours. --------- CPU info (if available) ----------```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10128-2

### c111

name 名前 Dmitry Domanov May 31, 2022 14:10:13 UTC 2022 年 5 月 31 日 (火) 23 時 10 分 13 秒 (日本時間) `861004231219077595689016810483048663113052677950832109891232519476160846720326396089976270991860826488858478207<111>` ```23286626237421506245032231765517511015429884891<47> 36974193790058242609198593234805230941804996882669060862947877677<65>``` ```N=861004231219077595689016810483048663113052677950832109891232519476160846720326396089976270991860826488858478207 ( 111 digits) SNFS difficulty: 128 digits. Divisors found: p47 factor: 23286626237421506245032231765517511015429884891 p65 factor: 36974193790058242609198593234805230941804996882669060862947877677 Version: Msieve v. 1.54 (SVN 1043M) Total time: 1.46 hours. Scaled time: 0.00 units (timescale=0.000). Factorization parameters were as follows: n: 861004231219077595689016810483048663113052677950832109891232519476160846720326396089976270991860826488858478207 m: 100000000000000000000000000000000 deg: 4 c4: 3 c0: -2 skew: 0.90 # Murphy_E = 1.803e-08 type: snfs lss: 1 rlim: 970000 alim: 970000 lpbr: 26 lpba: 26 mfbr: 47 mfba: 47 rlambda: 2.3 alambda: 2.3 Factor base limits: 970000/970000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 47/47 Sieved rational special-q in [485000, 860001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 124671 x 124896 Total sieving time: 1.43 hours. Total relation processing time: 0.01 hours. Matrix solve time: 0.02 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,128.000,4,0,0,0,0,0,0,0,0,970000,970000,26,26,47,47,2.3,2.3,75000 total time: 1.46 hours. --------- CPU info (if available) ----------```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10129-2

### c111

name 名前 Eric Jeancolas May 31, 2022 14:22:01 UTC 2022 年 5 月 31 日 (火) 23 時 22 分 1 秒 (日本時間) `180289717239350699832133969702244792473975032385588551927044183569274688277109694252760819190537749032949401589<111>` ```489580414549563014776663209645541319431264424832181<51> 368253532783221548878444218024073666145075645984501584623169<60>``` ```180289717239350699832133969702244792473975032385588551927044183569274688277109694252760819190537749032949401589=489580414549563014776663209645541319431264424832181*368253532783221548878444218024073666145075645984501584623169 cado polynomial n: 180289717239350699832133969702244792473975032385588551927044183569274688277109694252760819190537749032949401589 skew: 0.51 type: snfs c0: -1 c4: 15 Y0: 100000000000000000000000000000000 Y1: -1 # f(x) = 15*x^4-1 # g(x) = -x+100000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 1000000 tasks.lim1 = 1000000 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: 489580414549563014776663209645541319431264424832181 368253532783221548878444218024073666145075645984501584623169 Info:Square Root: Total cpu/real time for sqrt: 20.4/6.66023 Info:Filtering - Singleton removal: Total cpu/real time for purge: 57.12/60.4577 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 6141932 Info:Lattice Sieving: Average J: 1895.89 for 39865 special-q, max bucket fill -bkmult 1.0,1s:1.375690 Info:Lattice Sieving: Total time: 8687.3s Info:Linear Algebra: Total cpu/real time for bwc: 109.08/45.45 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 60.1, WCT time 30.26, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (2880 iterations) Info:Linear Algebra: Lingen CPU time 9.94, WCT time 2.56 Info:Linear Algebra: Mksol: CPU time 33.73, WCT time 9.16, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (1408 iterations) Info:Generate Free Relations: Total cpu/real time for freerel: 36.08/11.1114 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 21.87/46.7445 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 46.4s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 46.19/58.2152 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 49.9s Info:Filtering - Merging: Merged matrix has 89976 rows and total weight 15308408 (170.1 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 20.78/9.55035 Info:Filtering - Merging: Total cpu/real time for replay: 2.82/2.96586 Info:Generate Factor Base: Total cpu/real time for makefb: 0.51/0.281604 Info:Quadratic Characters: Total cpu/real time for characters: 2.92/1.12733 Info:Square Root: Total cpu/real time for sqrt: 20.4/6.66023 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 8215.12/4770.38 Info:root: Cleaning up computation data in /tmp/cado.e7kvge0n 489580414549563014776663209645541319431264424832181 368253532783221548878444218024073666145075645984501584623169``` `cado-nfs-3.0.0` ```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)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10134-2

### c87

name 名前 Eric Jeancolas May 29, 2022 20:52:05 UTC 2022 年 5 月 30 日 (月) 5 時 52 分 5 秒 (日本時間) `287980773535202468364531733019115768825317352038337824637300918946825457493248255091053<87>` ```5512723179068084647821826013075760540653<40> 52239295205075954775786453892199530202650876801<47>``` ```Sun May 29 21:37:05 2022 Msieve v. 1.53 (SVN 1005) Sun May 29 21:37:05 2022 random seeds: 176a44a8 1701ca2e Sun May 29 21:37:05 2022 factoring 287980773535202468364531733019115768825317352038337824637300918946825457493248255091053 (87 digits) Sun May 29 21:37:05 2022 searching for 15-digit factors Sun May 29 21:37:05 2022 commencing quadratic sieve (87-digit input) Sun May 29 21:37:06 2022 using multiplier of 5 Sun May 29 21:37:06 2022 using generic 32kb sieve core Sun May 29 21:37:06 2022 sieve interval: 20 blocks of size 32768 Sun May 29 21:37:06 2022 processing polynomials in batches of 11 Sun May 29 21:37:06 2022 using a sieve bound of 1481047 (56667 primes) Sun May 29 21:37:06 2022 using large prime bound of 118483760 (26 bits) Sun May 29 21:37:06 2022 using double large prime bound of 340867706400400 (41-49 bits) Sun May 29 21:37:06 2022 using trial factoring cutoff of 49 bits Sun May 29 21:37:06 2022 polynomial 'A' values have 11 factors Sun May 29 22:40:26 2022 56826 relations (16177 full + 40649 combined from 590571 partial), need 56763 Sun May 29 22:40:26 2022 begin with 606748 relations Sun May 29 22:40:26 2022 reduce to 134715 relations in 10 passes Sun May 29 22:40:26 2022 attempting to read 134715 relations Sun May 29 22:40:27 2022 recovered 134715 relations Sun May 29 22:40:27 2022 recovered 112546 polynomials Sun May 29 22:40:27 2022 attempting to build 56826 cycles Sun May 29 22:40:27 2022 found 56826 cycles in 5 passes Sun May 29 22:40:27 2022 distribution of cycle lengths: Sun May 29 22:40:27 2022 length 1 : 16177 Sun May 29 22:40:27 2022 length 2 : 11217 Sun May 29 22:40:27 2022 length 3 : 10148 Sun May 29 22:40:27 2022 length 4 : 7296 Sun May 29 22:40:27 2022 length 5 : 5067 Sun May 29 22:40:27 2022 length 6 : 3118 Sun May 29 22:40:27 2022 length 7 : 1822 Sun May 29 22:40:27 2022 length 9+: 1981 Sun May 29 22:40:27 2022 largest cycle: 17 relations Sun May 29 22:40:27 2022 matrix is 56667 x 56826 (13.6 MB) with weight 3115294 (54.82/col) Sun May 29 22:40:27 2022 sparse part has weight 3115294 (54.82/col) Sun May 29 22:40:27 2022 filtering completed in 3 passes Sun May 29 22:40:27 2022 matrix is 52129 x 52193 (12.6 MB) with weight 2896627 (55.50/col) Sun May 29 22:40:27 2022 sparse part has weight 2896627 (55.50/col) Sun May 29 22:40:27 2022 saving the first 48 matrix rows for later Sun May 29 22:40:27 2022 matrix includes 64 packed rows Sun May 29 22:40:27 2022 matrix is 52081 x 52193 (8.1 MB) with weight 2195520 (42.07/col) Sun May 29 22:40:27 2022 sparse part has weight 1613121 (30.91/col) Sun May 29 22:40:27 2022 using block size 8192 and superblock size 1179648 for processor cache size 12288 kB Sun May 29 22:40:27 2022 commencing Lanczos iteration Sun May 29 22:40:27 2022 memory use: 5.0 MB Sun May 29 22:40:31 2022 lanczos halted after 824 iterations (dim = 52077) Sun May 29 22:40:31 2022 recovered 16 nontrivial dependencies Sun May 29 22:40:31 2022 p40 factor: 5512723179068084647821826013075760540653 Sun May 29 22:40:31 2022 p47 factor: 52239295205075954775786453892199530202650876801 Sun May 29 22:40:31 2022 elapsed time 01:03:26``` `Msieve 1.53` ```Windows 10 21H2 Intel(R) Core(TM) i7-9750H CPU @ 2.60GHz 2.59 GHz```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10136-2

### c137

name 名前 Bob Backstrom May 29, 2022 21:06:28 UTC 2022 年 5 月 30 日 (月) 6 時 6 分 28 秒 (日本時間) `14999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<137>` ```5971372929039820532593026294876332533978897<43> 2511985129425161617515268736302554457761430468510429576468158010992684726298208329977043338767<94>``` ```Number: n N=14999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 ( 137 digits) SNFS difficulty: 136 digits. Divisors found: Mon May 30 06:42:15 2022 p43 factor: 5971372929039820532593026294876332533978897 Mon May 30 06:42:15 2022 p94 factor: 2511985129425161617515268736302554457761430468510429576468158010992684726298208329977043338767 Mon May 30 06:42:15 2022 elapsed time 00:02:28 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.335). Factorization parameters were as follows: # # N = 3x10^136-2 = 29(135)8 # n: 14999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 m: 10000000000000000000000000000000000 deg: 4 c4: 3 c0: -2 skew: 0.90 # Murphy_E = 7.293e-09 type: snfs lss: 1 rlim: 1320000 alim: 1320000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.3 alambda: 2.3 Factor base limits: 1320000/1320000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved special-q in [100000, 6260000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 486588 hash collisions in 6133024 relations (6306987 unique) Msieve: matrix is 205718 x 205966 (67.0 MB) Sieving start time : 2022/05/30 06:23:23 Sieving end time : 2022/05/30 06:34:30 Total sieving time: 0hrs 11min 7secs. Total relation processing time: 0hrs 0min 56sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 5sec. Prototype def-par.txt line would be: snfs,136,4,0,0,0,0,0,0,0,0,1320000,1320000,26,26,48,48,2.3,2.3,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved) [ 0.154085] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292) [ 0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10138-2

### c137

name 名前 Bob Backstrom May 29, 2022 21:05:05 UTC 2022 年 5 月 30 日 (月) 6 時 5 分 5 秒 (日本時間) `78947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421<137>` ```176727571866127010539458483305709570728062609<45> 446717892332363912468583241149150445012375381258425531105097647510512034321390411204258587669<93>``` ```Number: n N=78947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421 ( 137 digits) SNFS difficulty: 138 digits. Divisors found: Mon May 30 06:18:49 2022 p45 factor: 176727571866127010539458483305709570728062609 Mon May 30 06:18:49 2022 p93 factor: 446717892332363912468583241149150445012375381258425531105097647510512034321390411204258587669 Mon May 30 06:18:49 2022 elapsed time 00:02:36 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.322). Factorization parameters were as follows: # # N = 3x10^138-2 = 29(137)8 # n: 78947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421 m: 10000000000000000000000000000000000 deg: 4 c4: 150 c0: -1 skew: 0.29 # Murphy_E = 5.43e-09 type: snfs lss: 1 rlim: 1410000 alim: 1410000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.3 alambda: 2.3 Factor base limits: 1410000/1410000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved special-q in [100000, 6305000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 443410 hash collisions in 6614257 relations (6903160 unique) Msieve: matrix is 208924 x 209172 (57.0 MB) Sieving start time : 2022/05/30 05:58:17 Sieving end time : 2022/05/30 06:15:55 Total sieving time: 0hrs 17min 38secs. Total relation processing time: 0hrs 0min 49sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 7sec. Prototype def-par.txt line would be: snfs,138,4,0,0,0,0,0,0,0,0,1410000,1410000,26,26,48,48,2.3,2.3,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved) [ 0.154085] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292) [ 0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10140-2

### c131

name 名前 Taiyo Kodama May 31, 2022 11:51:30 UTC 2022 年 5 月 31 日 (火) 20 時 51 分 30 秒 (日本時間) `37234795827635293562130188460500927319061444772945341524769640301612877632689745269560533633892075692464763264895330957149824861831<131>` ```33913238314992412493036495357617696661<38> 157078175035619753019938305127780060466071587<45> 6989785815908194007873822032149442508427671759833<49>``` ```Tue May 31 20:48:02 2022 Msieve v. 1.53 (SVN unknown) Tue May 31 20:48:02 2022 random seeds: fee61210 614bcc21 Tue May 31 20:48:02 2022 factoring 37234795827635293562130188460500927319061444772945341524769640301612877632689745269560533633892075692464763264895330957149824861831 (131 digits) Tue May 31 20:48:02 2022 searching for 15-digit factors Tue May 31 20:48:02 2022 commencing number field sieve (131-digit input) Tue May 31 20:48:02 2022 R0: -10000000000000000000000000000 Tue May 31 20:48:02 2022 R1: 1 Tue May 31 20:48:02 2022 A0: -2 Tue May 31 20:48:02 2022 A1: 0 Tue May 31 20:48:02 2022 A2: 0 Tue May 31 20:48:02 2022 A3: 0 Tue May 31 20:48:02 2022 A4: 0 Tue May 31 20:48:02 2022 A5: 3 Tue May 31 20:48:02 2022 skew 0.92, size 1.063e-09, alpha 0.945, combined = 4.688e-09 rroots = 1 Tue May 31 20:48:02 2022 Tue May 31 20:48:02 2022 commencing square root phase Tue May 31 20:48:02 2022 reading relations for dependency 1 Tue May 31 20:48:02 2022 read 85073 cycles Tue May 31 20:48:02 2022 cycles contain 259248 unique relations Tue May 31 20:48:05 2022 read 259248 relations Tue May 31 20:48:05 2022 multiplying 259248 relations Tue May 31 20:48:08 2022 multiply complete, coefficients have about 5.51 million bits Tue May 31 20:48:08 2022 initial square root is modulo 2200981 Tue May 31 20:48:11 2022 GCD is N, no factor found Tue May 31 20:48:11 2022 reading relations for dependency 2 Tue May 31 20:48:11 2022 read 85143 cycles Tue May 31 20:48:11 2022 cycles contain 259636 unique relations Tue May 31 20:48:13 2022 read 259636 relations Tue May 31 20:48:13 2022 multiplying 259636 relations Tue May 31 20:48:16 2022 multiply complete, coefficients have about 5.52 million bits Tue May 31 20:48:16 2022 initial square root is modulo 2243621 Tue May 31 20:48:19 2022 found factor: 157078175035619753019938305127780060466071587 Tue May 31 20:48:19 2022 reading relations for dependency 3 Tue May 31 20:48:19 2022 read 85383 cycles Tue May 31 20:48:19 2022 cycles contain 259474 unique relations Tue May 31 20:48:21 2022 read 259474 relations Tue May 31 20:48:21 2022 multiplying 259474 relations Tue May 31 20:48:24 2022 multiply complete, coefficients have about 5.52 million bits Tue May 31 20:48:24 2022 initial square root is modulo 2228591 Tue May 31 20:48:27 2022 sqrtTime: 25 Tue May 31 20:48:27 2022 p38 factor: 33913238314992412493036495357617696661 Tue May 31 20:48:27 2022 p45 factor: 157078175035619753019938305127780060466071587 Tue May 31 20:48:27 2022 p49 factor: 6989785815908194007873822032149442508427671759833 Tue May 31 20:48:27 2022 elapsed time 00:00:25 Tue May 31 20:48:27 2022 -> Computing time scale for this machine... Tue May 31 20:48:27 2022 -> procrels -speedtest> PIPE```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10142-2

### c123

name 名前 Eric Jeancolas June 2, 2022 04:34:09 UTC 2022 年 6 月 2 日 (木) 13 時 34 分 9 秒 (日本時間) `167771184558773433148230353477379689697864061278829786671581989702406955895738433423094542416951533950563386215012043605713<123>` ```4521950844976586850594202205389228103789<40> 37101505591364316619815226779935831436905114653897866975889280145898149545644601717<83>``` ```167771184558773433148230353477379689697864061278829786671581989702406955895738433423094542416951533950563386215012043605713=4521950844976586850594202205389228103789*37101505591364316619815226779935831436905114653897866975889280145898149545644601717 cado polynomial n: 167771184558773433148230353477379689697864061278829786671581989702406955895738433423094542416951533950563386215012043605713 skew: 0.37 type: snfs c0: -1 c5: 150 Y0: 10000000000000000000000000000 Y1: -1 # f(x) = 150*x^5-1 # g(x) = -x+10000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 1640000 tasks.lim1 = 1640000 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: 37101505591364316619815226779935831436905114653897866975889280145898149545644601717 4521950844976586850594202205389228103789 Info:Square Root: Total cpu/real time for sqrt: 22.27/16.4915 Info:Filtering - Singleton removal: Total cpu/real time for purge: 51.63/73.5631 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 6130314 Info:Lattice Sieving: Average J: 1892.04 for 59919 special-q, max bucket fill -bkmult 1.0,1s:1.225890 Info:Lattice Sieving: Total time: 12195.5s Info:Linear Algebra: Total cpu/real time for bwc: 385.2/319.37 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 139.73, WCT time 137.05, iteration CPU time 0.02, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (4352 iterations) Info:Linear Algebra: Lingen CPU time 154.56, WCT time 136.93 Info:Linear Algebra: Mksol: CPU time 78.9, WCT time 33.99, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (2176 iterations) Info:Generate Free Relations: Total cpu/real time for freerel: 30.4/20.9063 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 23.03/40.4827 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 40.3s Info:Filtering - Merging: Merged matrix has 138682 rows and total weight 23591055 (170.1 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 32.61/25.6078 Info:Filtering - Merging: Total cpu/real time for replay: 4.57/4.76803 Info:Generate Factor Base: Total cpu/real time for makefb: 0.73/0.954097 Info:Quadratic Characters: Total cpu/real time for characters: 4.48/3.80895 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 50.3/75.8382 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 69.8s Info:Square Root: Total cpu/real time for sqrt: 22.27/16.4915 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 12129.7/6963.67 Info:root: Cleaning up computation data in /tmp/cado.hbfxuccr 37101505591364316619815226779935831436905114653897866975889280145898149545644601717 4521950844976586850594202205389228103789``` `cado-nfs-3.0.0` ```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)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10144-2

### c128

name 名前 Taiyo Kodama June 1, 2022 14:06:42 UTC 2022 年 6 月 1 日 (水) 23 時 6 分 42 秒 (日本時間) `26268385137572164196056207201073059114756124821424526520134970161758906220404417864987546202479557107495702531754009071631454233<128>` ```241276462564498833938702531002597524637675061<45> 108872555815717048230579685455479490003623638362618107572277013972236903307631716053<84>``` ```Wed Jun 1 23:05:08 2022 Msieve v. 1.53 (SVN unknown) Wed Jun 1 23:05:08 2022 random seeds: 9908d350 d8cca76e Wed Jun 1 23:05:08 2022 factoring 26268385137572164196056207201073059114756124821424526520134970161758906220404417864987546202479557107495702531754009071631454233 (128 digits) Wed Jun 1 23:05:09 2022 searching for 15-digit factors Wed Jun 1 23:05:09 2022 commencing number field sieve (128-digit input) Wed Jun 1 23:05:09 2022 R0: -1000000000000000000000000000000000000 Wed Jun 1 23:05:09 2022 R1: 1 Wed Jun 1 23:05:09 2022 A0: -2 Wed Jun 1 23:05:09 2022 A1: 0 Wed Jun 1 23:05:09 2022 A2: 0 Wed Jun 1 23:05:09 2022 A3: 0 Wed Jun 1 23:05:09 2022 A4: 3 Wed Jun 1 23:05:09 2022 skew 0.90, size 6.522e-15, alpha 1.813, combined = 2.895e-09 rroots = 2 Wed Jun 1 23:05:09 2022 Wed Jun 1 23:05:09 2022 commencing square root phase Wed Jun 1 23:05:09 2022 reading relations for dependency 1 Wed Jun 1 23:05:09 2022 read 108670 cycles Wed Jun 1 23:05:09 2022 cycles contain 309658 unique relations Wed Jun 1 23:05:11 2022 read 309658 relations Wed Jun 1 23:05:12 2022 multiplying 309658 relations Wed Jun 1 23:05:15 2022 multiply complete, coefficients have about 7.04 million bits Wed Jun 1 23:05:15 2022 initial square root is modulo 123211573 Wed Jun 1 23:05:17 2022 GCD is 1, no factor found Wed Jun 1 23:05:17 2022 reading relations for dependency 2 Wed Jun 1 23:05:17 2022 read 108219 cycles Wed Jun 1 23:05:18 2022 cycles contain 309482 unique relations Wed Jun 1 23:05:20 2022 read 309482 relations Wed Jun 1 23:05:21 2022 multiplying 309482 relations Wed Jun 1 23:05:23 2022 multiply complete, coefficients have about 7.03 million bits Wed Jun 1 23:05:23 2022 initial square root is modulo 121489573 Wed Jun 1 23:05:26 2022 sqrtTime: 17 Wed Jun 1 23:05:26 2022 p45 factor: 241276462564498833938702531002597524637675061 Wed Jun 1 23:05:26 2022 p84 factor: 108872555815717048230579685455479490003623638362618107572277013972236903307631716053 Wed Jun 1 23:05:26 2022 elapsed time 00:00:18 Wed Jun 01 23:05:26 2022 -> Computing time scale for this machine... Wed Jun 01 23:05:26 2022 -> procrels -speedtest> PIPE```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10145-2

### c118

name 名前 Eric Jeancolas June 3, 2022 12:31:05 UTC 2022 年 6 月 3 日 (金) 21 時 31 分 5 秒 (日本時間) `2322741465312999548285518502439374959667357665312215987758188599537359241392128354312977620498017637790300154720820639<118>` ```20125531545653963777287322219148120409<38> 115412676681058256158288871396029538914257275087179540614251593203578927976812471<81>``` ```2322741465312999548285518502439374959667357665312215987758188599537359241392128354312977620498017637790300154720820639=115412676681058256158288871396029538914257275087179540614251593203578927976812471*20125531545653963777287322219148120409 cado polynomial n: 2322741465312999548285518502439374959667357665312215987758188599537359241392128354312977620498017637790300154720820639 skew: 0.92 type: snfs c0: -2 c5: 3 Y0: 100000000000000000000000000000 Y1: -1 # f(x) = 3*x^5-2 # g(x) = -x+100000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 1860000 tasks.lim1 = 1860000 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: 115412676681058256158288871396029538914257275087179540614251593203578927976812471 20125531545653963777287322219148120409 Info:Square Root: Total cpu/real time for sqrt: 27.69/20.9952 Info:Filtering - Singleton removal: Total cpu/real time for purge: 46.85/68.1888 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 6249456 Info:Lattice Sieving: Average J: 1890.54 for 61598 special-q, max bucket fill -bkmult 1.0,1s:1.253730 Info:Lattice Sieving: Total time: 12867.7s Info:Linear Algebra: Total cpu/real time for bwc: 549.91/515.86 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 233.68, WCT time 227.67, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (5376 iterations) Info:Linear Algebra: Lingen CPU time 172.74, WCT time 146.7 Info:Linear Algebra: Mksol: CPU time 128.42, WCT time 127.62, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (2688 iterations) Info:Generate Free Relations: Total cpu/real time for freerel: 30.16/21.8351 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.81/37.6577 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 37.5s Info:Filtering - Merging: Merged matrix has 170280 rows and total weight 29073653 (170.7 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 38.61/30.1663 Info:Filtering - Merging: Total cpu/real time for replay: 5.71/6.17652 Info:Generate Factor Base: Total cpu/real time for makefb: 0.83/1.07473 Info:Quadratic Characters: Total cpu/real time for characters: 5.61/4.60456 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 53.03/80.3011 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 75.2s Info:Square Root: Total cpu/real time for sqrt: 27.69/20.9952 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 12738.3/7355.7 Info:root: Cleaning up computation data in /tmp/cado.wqprl9yy 115412676681058256158288871396029538914257275087179540614251593203578927976812471 20125531545653963777287322219148120409``` `cado-nfs-3.0.0` ```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)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10151-2

### c117

name 名前 Eric Jeancolas June 3, 2022 22:16:01 UTC 2022 年 6 月 4 日 (土) 7 時 16 分 1 秒 (日本時間) `439935214419262527759096244014909669014892947486743091134825470519032723975402946973058440681227985873224697981166957<117>` ```101325782881185813451902841030048127503<39> 4341789443019934112866668456672578913904723272320285129998699535722567509914819<79>``` ```439935214419262527759096244014909669014892947486743091134825470519032723975402946973058440681227985873224697981166957=101325782881185813451902841030048127503*4341789443019934112866668456672578913904723272320285129998699535722567509914819 cado polynomial n: 439935214419262527759096244014909669014892947486743091134825470519032723975402946973058440681227985873224697981166957 skew: 0.58 type: snfs c0: -1 c5: 15 Y0: 1000000000000000000000000000000 Y1: -1 # f(x) = 15*x^5-1 # g(x) = -x+1000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 2300000 tasks.lim1 = 2300000 tasks.lpb0 = 27 tasks.lpb1 = 27 tasks.sieve.mfb0 = 49 tasks.sieve.mfb1 = 49 tasks.sieve.lambda0 = 2.4 tasks.sieve.lambda1 = 2.4 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 4341789443019934112866668456672578913904723272320285129998699535722567509914819 101325782881185813451902841030048127503 Info:Square Root: Total cpu/real time for sqrt: 32.52/10.3059 Info:Filtering - Singleton removal: Total cpu/real time for purge: 116.12/123.27 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 11687993 Info:Lattice Sieving: Average J: 1893.78 for 146280 special-q, max bucket fill -bkmult 1.0,1s:1.240610 Info:Lattice Sieving: Total time: 37157.3s Info:Linear Algebra: Total cpu/real time for bwc: 583.36/294.95 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 343.85, WCT time 198.48, iteration CPU time 0.02, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (6656 iterations) Info:Linear Algebra: Lingen CPU time 32.77, WCT time 12.6 Info:Linear Algebra: Mksol: CPU time 187.14, WCT time 71.26, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3328 iterations) Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 43.84/55.5442 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 55.4s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 100.45/110.728 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 98.0s Info:Filtering - Merging: Merged matrix has 209477 rows and total weight 35742951 (170.6 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 44.57/18.6617 Info:Filtering - Merging: Total cpu/real time for replay: 7.52/7.2981 Info:Generate Factor Base: Total cpu/real time for makefb: 0.99/0.537795 Info:Quadratic Characters: Total cpu/real time for characters: 6.56/2.56931 Info:Square Root: Total cpu/real time for sqrt: 32.52/10.3059 Info:Generate Free Relations: Total cpu/real time for freerel: 59.69/17.0792 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 35632.3/19395.6 Info:root: Cleaning up computation data in /tmp/cado.zswuic72 4341789443019934112866668456672578913904723272320285129998699535722567509914819 101325782881185813451902841030048127503``` `cado-nfs-3.0.0` ```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)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10153-2

### c154

name 名前 Bob Backstrom May 30, 2022 19:35:28 UTC 2022 年 5 月 31 日 (火) 4 時 35 分 28 秒 (日本時間) `1499999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<154>` ```539948253138661398552619348326566045044770547963<48> 2778043990846642363316442671131883138026762770644754969832933319091784850710277009208333312274478054464973<106>``` ```Number: n N=1499999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 ( 154 digits) SNFS difficulty: 153 digits. Divisors found: Tue May 31 05:32:27 2022 p48 factor: 539948253138661398552619348326566045044770547963 Tue May 31 05:32:27 2022 p106 factor: 2778043990846642363316442671131883138026762770644754969832933319091784850710277009208333312274478054464973 Tue May 31 05:32:27 2022 elapsed time 00:05:24 (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 = 3x10^153-2 = 29(152)8 # n: 1499999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 m: 100000000000000000000000000000000000000 deg: 4 c4: 15 c0: -1 skew: 0.51 # Murphy_E = 1.124e-09 type: snfs lss: 1 rlim: 2500000 alim: 2500000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4 Factor base limits: 2500000/2500000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved special-q in [100000, 6850000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1664373 hash collisions in 14588491 relations (14328858 unique) Msieve: matrix is 348862 x 349088 (115.4 MB) Sieving start time : 2022/05/31 04:56:27 Sieving end time : 2022/05/31 05:26:38 Total sieving time: 0hrs 30min 11secs. Total relation processing time: 0hrs 2min 2sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 11sec. Prototype def-par.txt line would be: snfs,153,4,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved) [ 0.154085] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292) [ 0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10154-2

### c83

name 名前 Eric Jeancolas May 29, 2022 17:59:37 UTC 2022 年 5 月 30 日 (月) 2 時 59 分 37 秒 (日本時間) `96711271533503713884726957231662263790239591180049910024140311895966629592506397041<83>` ```29820773560742547701333597448949264229<38> 3243083930620060325719233401614513017587193629<46>``` ```96711271533503713884726957231662263790239591180049910024140311895966629592506397041 = 29820773560742547701333597448949264229 * 3243083930620060325719233401614513017587193629 Time elapsed: 0d 0h 6m 23.3s Modular multiplications: ECM: 78622512 Probable prime checking: 1383 SIQS: 148019 Sum of squares: 1271 SIQS: 862918 polynomials sieved 487152 sets of trial divisions 17945 smooth congruences found (1 out of every 4152393 values) 194992 partial congruences found (1 out of every 382142 values) 18429 useful partial congruences Size of binary matrix: 33280 × 32319 Timings: Probable prime test of 3 numbers: 0d 0h 0m 0.0s Factoring 1 number using ECM: 0d 0h 0m 14.6s Factoring 1 number using SIQS: 0d 0h 6m 8.7s``` `Dario Alpern's calculator` ```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)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10156-2

### c119

name 名前 Eric Jeancolas June 4, 2022 08:31:42 UTC 2022 年 6 月 4 日 (土) 17 時 31 分 42 秒 (日本時間) `25550405699792249537404165656174416011145556341615318575547169809687311276548319307607341702227359485895447014946828601<119>` ```830551586018365857628705325286671015400157675517716919<54> 30763177302784968016248659404570038904223883499837218249059368079<65>``` ```25550405699792249537404165656174416011145556341615318575547169809687311276548319307607341702227359485895447014946828601=830551586018365857628705325286671015400157675517716919*30763177302784968016248659404570038904223883499837218249059368079 cado polynomial n: 25550405699792249537404165656174416011145556341615318575547169809687311276548319307607341702227359485895447014946828601 skew: 0.58 type: snfs c0: -1 c5: 15 Y0: 10000000000000000000000000000000 Y1: -1 # f(x) = 15*x^5-1 # g(x) = -x+10000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 2800000 tasks.lim1 = 2800000 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: 30763177302784968016248659404570038904223883499837218249059368079 830551586018365857628705325286671015400157675517716919 Info:Square Root: Total cpu/real time for sqrt: 46.13/64.4595 Info:Filtering - Singleton removal: Total cpu/real time for purge: 96.83/191.904 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 11681872 Info:Lattice Sieving: Average J: 1894.55 for 168143 special-q, max bucket fill -bkmult 1.0,1s:1.237260 Info:Lattice Sieving: Total time: 43011.4s Info:Linear Algebra: Total cpu/real time for bwc: 4384.92/6254.66 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 587.79, WCT time 904.29, iteration CPU time 0.08, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (8576 iterations) Info:Linear Algebra: Lingen CPU time 3448.39, WCT time 4817.94 Info:Linear Algebra: Mksol: CPU time 324.45, WCT time 497.5, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (4352 iterations) Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 44.71/94.7303 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 94.5s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 106.6/227.124 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 214.9s Info:Filtering - Merging: Merged matrix has 272211 rows and total weight 46511224 (170.9 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 61.44/85.8761 Info:Filtering - Merging: Total cpu/real time for replay: 9.38/13.6362 Info:Generate Factor Base: Total cpu/real time for makefb: 1.22/0.662024 Info:Quadratic Characters: Total cpu/real time for characters: 8.84/12.1732 Info:Square Root: Total cpu/real time for sqrt: 46.13/64.4595 Info:Generate Free Relations: Total cpu/real time for freerel: 59.52/17.0195 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 44005.3/28825.7 Info:root: Cleaning up computation data in /tmp/cado.1e63ij5x 30763177302784968016248659404570038904223883499837218249059368079 830551586018365857628705325286671015400157675517716919``` `cado-nfs-3.0.0` ```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)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10158-2

### c116

name 名前 Eric Jeancolas June 4, 2022 16:46:40 UTC 2022 年 6 月 5 日 (日) 1 時 46 分 40 秒 (日本時間) `11002378855550878573560251487802343923413481424449509799704611736298333333763843389210514227354940253923809810641791<116>` ```67770433105189320575551243202290080239506620167<47> 162347772493553740286847021824176512490086387162308431086930859708873<69>``` ```11002378855550878573560251487802343923413481424449509799704611736298333333763843389210514227354940253923809810641791=67770433105189320575551243202290080239506620167*162347772493553740286847021824176512490086387162308431086930859708873 cado polynomial n: 11002378855550878573560251487802343923413481424449509799704611736298333333763843389210514227354940253923809810641791 skew: 0.23 type: snfs c0: -1 c5: 1500 Y0: 10000000000000000000000000000000 Y1: -1 # f(x) = 1500*x^5-1 # g(x) = -x+10000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 3000000 tasks.lim1 = 3000000 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: 162347772493553740286847021824176512490086387162308431086930859708873 67770433105189320575551243202290080239506620167 Info:Square Root: Total cpu/real time for sqrt: 68.52/51.9295 Info:Filtering - Singleton removal: Total cpu/real time for purge: 84.62/109.585 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 11660442 Info:Lattice Sieving: Average J: 1895.28 for 269206 special-q, max bucket fill -bkmult 1.0,1s:1.233910 Info:Lattice Sieving: Total time: 61174.8s Info:Linear Algebra: Total cpu/real time for bwc: 2034.85/1738.18 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 1048.57, WCT time 880.27, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (11008 iterations) Info:Linear Algebra: Lingen CPU time 386.48, WCT time 329.58 Info:Linear Algebra: Mksol: CPU time 568.34, WCT time 500.83, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (5504 iterations) Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 44.74/66.7465 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 66.4s Info:Generate Free Relations: Total cpu/real time for freerel: 61.3/48.4065 Info:Filtering - Merging: Merged matrix has 348016 rows and total weight 59277321 (170.3 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 75.28/55.6339 Info:Filtering - Merging: Total cpu/real time for replay: 11.96/13.1481 Info:Generate Factor Base: Total cpu/real time for makefb: 1.33/1.9183 Info:Quadratic Characters: Total cpu/real time for characters: 11.07/9.064 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 100.15/114.187 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 99.30000000000001s Info:Square Root: Total cpu/real time for sqrt: 68.52/51.9295 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 60005.7/33131.7 Info:root: Cleaning up computation data in /tmp/cado.4tbyoozy 162347772493553740286847021824176512490086387162308431086930859708873 67770433105189320575551243202290080239506620167``` `cado-nfs-3.0.0` ```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)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10159-2

### c145

name 名前 Bob Backstrom June 1, 2022 14:39:14 UTC 2022 年 6 月 1 日 (水) 23 時 39 分 14 秒 (日本時間) `2122345490624336862603914659257664881833518790295270710156330775104250697207955330227963070340976720817438568227321901932386939832956782810282121<145>` ```10509276302034851011960286033908258397244593<44> 201949727995390058802373546066037004307646360745448452018280008977522062695807669361809291496773566297<102>``` ```Number: n N=2122345490624336862603914659257664881833518790295270710156330775104250697207955330227963070340976720817438568227321901932386939832956782810282121 ( 145 digits) SNFS difficulty: 159 digits. Divisors found: Thu Jun 2 00:33:46 2022 p44 factor: 10509276302034851011960286033908258397244593 Thu Jun 2 00:33:46 2022 p102 factor: 201949727995390058802373546066037004307646360745448452018280008977522062695807669361809291496773566297 Thu Jun 2 00:33:46 2022 elapsed time 00:08:18 (Msieve 1.54 - dependency 5) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.350). Factorization parameters were as follows: # # N = 3x10^159-2 = 29(158)8 # n: 2122345490624336862603914659257664881833518790295270710156330775104250697207955330227963070340976720817438568227321901932386939832956782810282121 m: 50000000000000000000000000000000 deg: 5 c5: 24 c0: -5 skew: 0.73 # Murphy_E = 6.236e-10 type: snfs lss: 1 rlim: 3200000 alim: 3200000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4 Factor base limits: 3200000/3200000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved special-q in [100000, 14400000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1178855 hash collisions in 12672773 relations (12287860 unique) Msieve: matrix is 474028 x 474259 (159.3 MB) Sieving start time : 2022/06/01 23:14:59 Sieving end time : 2022/06/02 00:25:15 Total sieving time: 1hrs 10min 16secs. Total relation processing time: 0hrs 3min 32sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 54sec. Prototype def-par.txt line would be: snfs,159,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,50,50,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved) [ 0.154085] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292) [ 0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10161-2

### c134

name 名前 ebina May 31, 2022 20:57:16 UTC 2022 年 6 月 1 日 (水) 5 時 57 分 16 秒 (日本時間) `11576340855634793830774774998097998941173848960449687909096228399466048579822118997865539942751064277606975941852020393243285096622327<134>` ```246860629579230769898106343807573227857<39> 46894236944005392054292748848650189364634581787442987755244358934332977585289711480571638688711<95>``` ```Z:\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:1780002148 3e6 GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM] Input number is 11576340855634793830774774998097998941173848960449687909096228399466048579822118997865539942751064277606975941852020393243285096622327 (134 digits) Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1780002148 Step 1 took 2266ms Step 2 took 2813ms ********** Factor found in step 2: 246860629579230769898106343807573227857 Found probable prime factor of 39 digits: 246860629579230769898106343807573227857 Probable prime cofactor 46894236944005392054292748848650189364634581787442987755244358934332977585289711480571638688711 has 95 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10165-2

### c113

name 名前 Eric Jeancolas May 30, 2022 16:43:35 UTC 2022 年 5 月 31 日 (火) 1 時 43 分 35 秒 (日本時間) `20831350566211589652634358471125702471935188098909650736117150146237531206768639227267640055882345095609723612333<113>` ```27962751791453108494042842427170034190425013612474906521<56> 744967831548637101027686678022459893488536658397445880373<57>``` ```20831350566211589652634358471125702471935188098909650736117150146237531206768639227267640055882345095609723612333=27962751791453108494042842427170034190425013612474906521*744967831548637101027686678022459893488536658397445880373 cado polynomial n: 20831350566211589652634358471125702471935188098909650736117150146237531206768639227267640055882345095609723612333 skew: 15421.475 c0: 80040115918070367682171536 c1: 21273756058867759453164 c2: -2167584802902553706 c3: -151517257665239 c4: 5020298470 c5: 69000 Y0: -969961183830365348897 Y1: 243313920014979463 # MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.307e-06 # f(x) = 69000*x^5+5020298470*x^4-151517257665239*x^3-2167584802902553706*x^2+21273756058867759453164*x+80040115918070367682171536 # g(x) = 243313920014979463*x-969961183830365348897 cado parameters (extracts) tasks.lim0 = 2500000 tasks.lim1 = 4500000 tasks.lpb0 = 26 tasks.lpb1 = 26 tasks.sieve.mfb0 = 52 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: 27962751791453108494042842427170034190425013612474906521 744967831548637101027686678022459893488536658397445880373 Info:Square Root: Total cpu/real time for sqrt: 125.04/37.6754 Info:Filtering - Singleton removal: Total cpu/real time for purge: 65.74/91.0198 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 6513269 Info:Lattice Sieving: Average J: 1897.06 for 95631 special-q, max bucket fill -bkmult 1.0,1s:1.300070 Info:Lattice Sieving: Total time: 22821.5s Info:Generate Factor Base: Total cpu/real time for makefb: 4.2/3.43138 Info:Linear Algebra: Total cpu/real time for bwc: 2080.85/976.98 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 1268.31, WCT time 670.04, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (12672 iterations) Info:Linear Algebra: Lingen CPU time 79.65, WCT time 33.42 Info:Linear Algebra: Mksol: CPU time 696.24, WCT time 249.88, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6400 iterations) Info:Generate Free Relations: Total cpu/real time for freerel: 63.9/42.9397 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 26.49/44.6941 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 43.8s Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 341.81 Info:Polynomial Selection (root optimized): Rootsieve time: 340.65 Info:Filtering - Merging: Merged matrix has 402601 rows and total weight 62414864 (155.0 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 67.28/29.8457 Info:Filtering - Merging: Total cpu/real time for replay: 16.77/16.4895 Info:Quadratic Characters: Total cpu/real time for characters: 14.89/5.76943 Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 21492.9 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21416/32.370/39.966/45.290/1.075 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16491/31.960/35.384/40.450/0.813 Info:Polynomial Selection (size optimized): Total time: 1848.39 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 100.19/155.033 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 131.49999999999997s Info:Square Root: Total cpu/real time for sqrt: 125.04/37.6754 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 25632.4/13870 Info:root: Cleaning up computation data in /tmp/cado.7bc1pc1w 27962751791453108494042842427170034190425013612474906521 744967831548637101027686678022459893488536658397445880373``` `cado-nfs-3.0.0` ```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)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10169-2

### c133

name 名前 Bob Backstrom June 6, 2022 08:05:58 UTC 2022 年 6 月 6 日 (月) 17 時 5 分 58 秒 (日本時間) `1375658802822537979560426522805414955106391926150977918305454001551564388244761755414625548411530319009766696970450441935969234873077<133>` ```4629630489549618102203991683047408687982222321576412431323<58> 297142246217659904068781300213007420264625708391184653501704173420525202799<75>``` ```Number: n N=1375658802822537979560426522805414955106391926150977918305454001551564388244761755414625548411530319009766696970450441935969234873077 ( 133 digits) SNFS difficulty: 169 digits. Divisors found: Mon Jun 6 18:02:09 2022 p58 factor: 4629630489549618102203991683047408687982222321576412431323 Mon Jun 6 18:02:09 2022 p75 factor: 297142246217659904068781300213007420264625708391184653501704173420525202799 Mon Jun 6 18:02:09 2022 elapsed time 00:11:33 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.330). Factorization parameters were as follows: # # N = 3x10^169-2 = 29(168)8 # n: 1375658802822537979560426522805414955106391926150977918305454001551564388244761755414625548411530319009766696970450441935969234873077 m: 5000000000000000000000000000000000 deg: 5 c5: 24 c0: -5 skew: 0.73 # Murphy_E = 2.529e-10 type: snfs lss: 1 rlim: 4700000 alim: 4700000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 4700000/4700000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved special-q in [100000, 15150000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1270811 hash collisions in 12204405 relations (11666034 unique) Msieve: matrix is 718884 x 719110 (249.5 MB) Sieving start time : 2022/06/06 16:53:19 Sieving end time : 2022/06/06 17:50:20 Total sieving time: 0hrs 57min 1secs. Total relation processing time: 0hrs 7min 52sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 43sec. Prototype def-par.txt line would be: snfs,169,5,0,0,0,0,0,0,0,0,4700000,4700000,27,27,52,52,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved) [ 0.154118] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204) [ 0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10170-2

### c145

name 名前 Bob Backstrom June 7, 2022 23:33:15 UTC 2022 年 6 月 8 日 (水) 8 時 33 分 15 秒 (日本時間) `3503616871460577348944861714215011370117945140008467668910117768478368934991638591798132891595049055864222196356619204358740757908788805248212123<145>` ```76124611298897733976996970551947952330948494424043516350304643708001<68> 46024758769590050790229670998080043205138817326245172138075298785755448128123<77>``` ```Number: n N=3503616871460577348944861714215011370117945140008467668910117768478368934991638591798132891595049055864222196356619204358740757908788805248212123 ( 145 digits) SNFS difficulty: 170 digits. Divisors found: Wed Jun 8 09:28:36 2022 p68 factor: 76124611298897733976996970551947952330948494424043516350304643708001 Wed Jun 8 09:28:36 2022 p77 factor: 46024758769590050790229670998080043205138817326245172138075298785755448128123 Wed Jun 8 09:28:36 2022 elapsed time 00:09:38 (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 = 3x10^170-2 = 29(169)8 # n: 3503616871460577348944861714215011370117945140008467668910117768478368934991638591798132891595049055864222196356619204358740757908788805248212123 m: 10000000000000000000000000000000000 deg: 5 c5: 3 c0: -2 skew: 0.92 # Murphy_E = 3.294e-10 type: snfs lss: 1 rlim: 4900000 alim: 4900000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 4900000/4900000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved special-q in [100000, 8050000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1161309 hash collisions in 12555630 relations (12186667 unique) Msieve: matrix is 648114 x 648340 (225.7 MB) Sieving start time : 2022/06/08 08:43:40 Sieving end time : 2022/06/08 09:18:42 Total sieving time: 0hrs 35min 2secs. Total relation processing time: 0hrs 6min 1sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 36sec. Prototype def-par.txt line would be: snfs,170,5,0,0,0,0,0,0,0,0,4900000,4900000,27,27,52,52,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved) [ 0.154118] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204) [ 0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62078Florian BaurJune 7, 2022 12:58:16 UTC 2022 年 6 月 7 日 (火) 21 時 58 分 16 秒 (日本時間)

## 3×10171-2

### c140

name 名前 Bob Backstrom June 8, 2022 04:25:12 UTC 2022 年 6 月 8 日 (水) 13 時 25 分 12 秒 (日本時間) `34400497779346979986269546682066451086199488757120141458250206495676922293533432642061406321946022043166493340981272875585504687973831050733<140>` ```54952610994248249803294770919531966549<38> 626002971595791739564180121539787467538929949631489473558795446458267803541937576398291339003147810617<102>``` ```Number: n N=34400497779346979986269546682066451086199488757120141458250206495676922293533432642061406321946022043166493340981272875585504687973831050733 ( 140 digits) SNFS difficulty: 171 digits. Divisors found: Wed Jun 8 14:21:50 2022 p38 factor: 54952610994248249803294770919531966549 Wed Jun 8 14:21:50 2022 p102 factor: 626002971595791739564180121539787467538929949631489473558795446458267803541937576398291339003147810617 Wed Jun 8 14:21:50 2022 elapsed time 00:13:14 (Msieve 1.54 - dependency 4) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.330). Factorization parameters were as follows: # # N = 3x10^171-2 = 29(170)8 # n: 34400497779346979986269546682066451086199488757120141458250206495676922293533432642061406321946022043166493340981272875585504687973831050733 m: 10000000000000000000000000000000000 deg: 5 c5: 15 c0: -1 skew: 0.58 # Murphy_E = 2.732e-10 type: snfs lss: 1 rlim: 5000000 alim: 5000000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 5000000/5000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved special-q in [100000, 8100000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1189250 hash collisions in 12192481 relations (11755198 unique) Msieve: matrix is 703985 x 704214 (243.2 MB) Sieving start time : 2022/06/08 13:36:43 Sieving end time : 2022/06/08 14:08:21 Total sieving time: 0hrs 31min 38secs. Total relation processing time: 0hrs 7min 22sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 2min 53sec. Prototype def-par.txt line would be: snfs,171,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved) [ 0.154118] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204) [ 0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62078Florian BaurJune 7, 2022 14:57:18 UTC 2022 年 6 月 7 日 (火) 23 時 57 分 18 秒 (日本時間)

## 3×10172-2

### c173

name 名前 Bob Backstrom June 2, 2022 19:41:27 UTC 2022 年 6 月 3 日 (金) 4 時 41 分 27 秒 (日本時間) `14999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<173>` ```14484130137814952810894024376008868861460786489602277582827667<62> 1035616212867227820622033699432550633456990046893008221975889896196157466801162215227948942786014624855378448997<112>``` ```Number: n N=14999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 ( 173 digits) SNFS difficulty: 172 digits. Divisors found: Fri Jun 3 05:37:56 2022 p62 factor: 14484130137814952810894024376008868861460786489602277582827667 Fri Jun 3 05:37:56 2022 p112 factor: 1035616212867227820622033699432550633456990046893008221975889896196157466801162215227948942786014624855378448997 Fri Jun 3 05:37:56 2022 elapsed time 00:14:59 (Msieve 1.54 - dependency 5) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.332). Factorization parameters were as follows: # # N = 3x10^172-2 = 29(171)8 # n: 14999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 m: 10000000000000000000000000000000000 deg: 5 c5: 150 c0: -1 skew: 0.37 # Murphy_E = 2.558e-10 type: snfs lss: 1 rlim: 5200000 alim: 5200000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 5200000/5200000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved special-q in [100000, 8200000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1199405 hash collisions in 12211999 relations (11763778 unique) Msieve: matrix is 714279 x 714504 (249.2 MB) Sieving start time : 2022/06/03 04:49:57 Sieving end time : 2022/06/03 05:22:41 Total sieving time: 0hrs 32min 44secs. Total relation processing time: 0hrs 7min 46sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 4min 13sec. Prototype def-par.txt line would be: snfs,172,5,0,0,0,0,0,0,0,0,5200000,5200000,27,27,52,52,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved) [ 0.154118] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204) [ 0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10173-2

### c170

name 名前 Bob Backstrom June 2, 2022 21:39:47 UTC 2022 年 6 月 3 日 (金) 6 時 39 分 47 秒 (日本時間) `25965033754543880907045179158732906352778258611736195257053834169984420979747273671455772892504760256188333044832958282845767699498009347412151635797126536264497143846287<170>` ```18022721498011364323864350523851018140559193379<47> 490299909278220491587406848653459196167712031495665341109<57> 2938371526537814270449121766627383395200218650783362005170976532017<67>``` ```Number: n N=25965033754543880907045179158732906352778258611736195257053834169984420979747273671455772892504760256188333044832958282845767699498009347412151635797126536264497143846287 ( 170 digits) SNFS difficulty: 173 digits. Divisors found: Fri Jun 3 07:34:17 2022 found factor: 18022721498011364323864350523851018140559193379 Fri Jun 3 07:35:24 2022 p47 factor: 18022721498011364323864350523851018140559193379 Fri Jun 3 07:35:24 2022 p57 factor: 490299909278220491587406848653459196167712031495665341109 Fri Jun 3 07:35:24 2022 p67 factor: 2938371526537814270449121766627383395200218650783362005170976532017 Fri Jun 3 07:35:24 2022 elapsed time 00:16:49 (Msieve 1.54 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.326). Factorization parameters were as follows: # # N = 3x10^173-2 = 29(172)8 # n: 25965033754543880907045179158732906352778258611736195257053834169984420979747273671455772892504760256188333044832958282845767699498009347412151635797126536264497143846287 m: 10000000000000000000000000000000000 deg: 5 c5: 1500 c0: -1 skew: 0.23 # Murphy_E = 1.692e-10 type: snfs lss: 1 rlim: 5400000 alim: 5400000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 5400000/5400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved special-q in [100000, 8300000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1386724 hash collisions in 11974981 relations (11271493 unique) Msieve: matrix is 855866 x 856092 (297.4 MB) Sieving start time : 2022/06/03 06:30:23 Sieving end time : 2022/06/03 07:18:20 Total sieving time: 0hrs 47min 57secs. Total relation processing time: 0hrs 11min 29sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 2min 15sec. Prototype def-par.txt line would be: snfs,173,5,0,0,0,0,0,0,0,0,5400000,5400000,27,27,52,52,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved) [ 0.154118] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204) [ 0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10175-2

### c169

name 名前 Bob Backstrom June 3, 2022 20:40:37 UTC 2022 年 6 月 4 日 (土) 5 時 40 分 37 秒 (日本時間) `1010934741938351447149713302276968756657426498473185259250507809369787999571094086820288759355948302953958055508809184247776600675317886744711278048637148765045489030583<169>` ```79140212626561086871339686466405879797459986988161450034551<59> 12773970506102240453738694064037604680787050162983796070454977743151619393658790269155678476205584711430570433<110>``` ```Number: n N=1010934741938351447149713302276968756657426498473185259250507809369787999571094086820288759355948302953958055508809184247776600675317886744711278048637148765045489030583 ( 169 digits) SNFS difficulty: 175 digits. Divisors found: Sat Jun 4 06:36:42 2022 p59 factor: 79140212626561086871339686466405879797459986988161450034551 Sat Jun 4 06:36:42 2022 p110 factor: 12773970506102240453738694064037604680787050162983796070454977743151619393658790269155678476205584711430570433 Sat Jun 4 06:36:42 2022 elapsed time 00:15:46 (Msieve 1.54 - dependency 5) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.300). Factorization parameters were as follows: # # N = 3x10^175-2 = 29(174)8 # n: 1010934741938351447149713302276968756657426498473185259250507809369787999571094086820288759355948302953958055508809184247776600675317886744711278048637148765045489030583 m: 100000000000000000000000000000000000 deg: 5 c5: 3 c0: -2 skew: 0.92 # Murphy_E = 2.08e-10 type: snfs lss: 1 rlim: 5900000 alim: 5900000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.5 alambda: 2.5 Factor base limits: 5900000/5900000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved special-q in [100000, 8550000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1243203 hash collisions in 12183124 relations (11677177 unique) Msieve: matrix is 778828 x 779053 (271.8 MB) Sieving start time : 2022/06/04 05:45:36 Sieving end time : 2022/06/04 06:20:41 Total sieving time: 0hrs 35min 5secs. Total relation processing time: 0hrs 8min 56sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 3min 45sec. Prototype def-par.txt line would be: snfs,175,5,0,0,0,0,0,0,0,0,5900000,5900000,27,27,52,52,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved) [ 0.154118] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204) [ 0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10178-2

### c140

name 名前 Bob Backstrom June 15, 2022 22:15:51 UTC 2022 年 6 月 16 日 (木) 7 時 15 分 51 秒 (日本時間) `56988512246396270599060887454850977344142404898622831472377085519284955509048683468773488569430937373370864283656092293951768132370524775103<140>` ```17975143746349503518158162777197848212060062187<47> 3170406481893633162584424490015085218963947662488684478836622209393895281100450358380966156669<94>``` ```Number: n N=56988512246396270599060887454850977344142404898622831472377085519284955509048683468773488569430937373370864283656092293951768132370524775103 ( 140 digits) SNFS difficulty: 178 digits. Divisors found: Thu Jun 16 05:05:10 2022 p47 factor: 17975143746349503518158162777197848212060062187 Thu Jun 16 05:05:10 2022 p94 factor: 3170406481893633162584424490015085218963947662488684478836622209393895281100450358380966156669 Thu Jun 16 05:05:10 2022 elapsed time 00:26:37 (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 = 3x10^178-2 = 29(177)8 # n: 56988512246396270599060887454850977344142404898622831472377085519284955509048683468773488569430937373370864283656092293951768132370524775103 m: 100000000000000000000000000000000000 deg: 5 c5: 1500 c0: -1 skew: 0.23 # Murphy_E = 1.067e-10 type: snfs lss: 1 rlim: 6500000 alim: 6500000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 6500000/6500000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved special-q in [100000, 23250000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 4038317 hash collisions in 28622224 relations (26028928 unique) Msieve: matrix is 998784 x 999009 (340.1 MB) Sieving start time : 2022/06/16 02:29:54 Sieving end time : 2022/06/16 04:37:45 Total sieving time: 2hrs 7min 51secs. Total relation processing time: 0hrs 15min 24sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 4min 29sec. Prototype def-par.txt line would be: snfs,178,5,0,0,0,0,0,0,0,0,6500000,6500000,28,28,53,53,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.118494] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16197192K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530044K reserved, 0K cma-reserved) [ 0.153548] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.34 BogoMIPS (lpj=12798684) [ 0.152038] smpboot: Total of 16 processors activated (102389.47 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 9, 2022 13:53:55 UTC 2022 年 6 月 9 日 (木) 22 時 53 分 55 秒 (日本時間)

## 3×10179-2

### c158

name 名前 Erik Branger June 9, 2022 16:34:19 UTC 2022 年 6 月 10 日 (金) 1 時 34 分 19 秒 (日本時間) `57416412687299193311758170008097806402824242254473970638285510765337058596736588925265824165007114703419157990583721186429238082334256422214460912793227596721<158>` ```12375486171211763327897401709522151209939220377117812790554489<62> 4639527845044424918166627225679330404451068960901426902857404572781507940728065764007948740304889<97>``` ```Number: 29998_179 N = 57416412687299193311758170008097806402824242254473970638285510765337058596736588925265824165007114703419157990583721186429238082334256422214460912793227596721 (158 digits) SNFS difficulty: 181 digits. Divisors found: r1=12375486171211763327897401709522151209939220377117812790554489 (pp62) r2=4639527845044424918166627225679330404451068960901426902857404572781507940728065764007948740304889 (pp97) Version: Msieve v. 1.52 (SVN unknown) Total time: 15.60 hours. Factorization parameters were as follows: n: 57416412687299193311758170008097806402824242254473970638285510765337058596736588925265824165007114703419157990583721186429238082334256422214460912793227596721 m: 1000000000000000000000000000000000000000000000000000000000000 deg: 3 c3: 3 c0: -20 skew: 1.00 type: snfs lss: 1 rlim: 10000000 alim: 10000000 lpbr: 29 lpba: 26 mfbr: 58 mfba: 52 rlambda: 2.8 alambda: 2.8 side: 1 Number of cores used: 8 Number of threads per core: 1 Factor base limits: 10000000/10000000 Large primes per side: 3 Large prime bits: 29/26 Total raw relations: 0 Relations: 4411096 relations Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G rational relations. Total batch smoothness checking time: 2.60 hours. Total relation processing time: 0.30 hours. Pruned matrix : 3582899 x 3583124 Matrix solve time: 12.64 hours. time per square root: 0.06 hours. Prototype def-par.txt line would be: snfs,181,3,0,0,0,0,0,0,0,0,10000000,10000000,29,26,58,52,2.8,2.8,100000 total time: 15.60 hours. Intel64 Family 6 Model 165 Stepping 5, GenuineIntel Windows-10-10.0.22000-SP0 processors: 16, speed: 3.79GHz``` `GGNFS, NFS_factory, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 9, 2022 13:14:23 UTC 2022 年 6 月 9 日 (木) 22 時 14 分 23 秒 (日本時間)

## 3×10182-2

### c170

name 名前 Bob Backstrom June 12, 2022 17:32:07 UTC 2022 年 6 月 13 日 (月) 2 時 32 分 7 秒 (日本時間) `97721486553908267298384766595022868235945315970007957466845626997723891618261426914284902873238370780475029742804437408150169756591404686006630642695966789154073451031947<170>` ```3544404689035189762493239032127803687598897<43> 27570634599433592842491248606718208711079325357061544896636279881357443093847944028619298404363190229590728152536234784176950651<128>``` ```Number: n N=97721486553908267298384766595022868235945315970007957466845626997723891618261426914284902873238370780475029742804437408150169756591404686006630642695966789154073451031947 ( 170 digits) SNFS difficulty: 182 digits. Divisors found: Mon Jun 13 02:41:53 2022 p43 factor: 3544404689035189762493239032127803687598897 Mon Jun 13 02:41:53 2022 p128 factor: 27570634599433592842491248606718208711079325357061544896636279881357443093847944028619298404363190229590728152536234784176950651 Mon Jun 13 02:41:53 2022 elapsed time 00:24:00 (Msieve 1.54 - dependency 7) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.350). Factorization parameters were as follows: # # N = 3x10^182-2 = 29(181)8 # n: 97721486553908267298384766595022868235945315970007957466845626997723891618261426914284902873238370780475029742804437408150169756591404686006630642695966789154073451031947 m: 1000000000000000000000000000000000000 deg: 5 c5: 150 c0: -1 skew: 0.37 # Murphy_E = 1.014e-10 type: snfs lss: 1 rlim: 7600000 alim: 7600000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 7600000/7600000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved special-q in [100000, 9400000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3000217 hash collisions in 29268868 relations (28088509 unique) Msieve: matrix is 850388 x 850614 (290.0 MB) Sieving start time : 2022/06/13 01:47:41 Sieving end time : 2022/06/13 02:17:17 Total sieving time: 0hrs 29min 36secs. Total relation processing time: 0hrs 10min 56sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 6min 0sec. Prototype def-par.txt line would be: snfs,182,5,0,0,0,0,0,0,0,0,7600000,7600000,28,28,53,53,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.117895] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved) [ 0.154151] x86/mm: Memory block size: 128MB [ 0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798644) [ 0.152036] smpboot: Total of 16 processors activated (102389.15 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 7, 2022 22:35:55 UTC 2022 年 6 月 8 日 (水) 7 時 35 分 55 秒 (日本時間)

## 3×10183-2

### c138

name 名前 Eric Jeancolas June 29, 2022 12:17:27 UTC 2022 年 6 月 29 日 (水) 21 時 17 分 27 秒 (日本時間) `177629514352295386966294876352762227492139377450353681601720309990725830234037477441289357433664604008039827817610813000552733454103031881<138>` ```22876256267255754603335454525134684528433827435259208340983<59> 7764798237837012077960432433916701320638178865905328167303361117716196045315007<79>``` ```177629514352295386966294876352762227492139377450353681601720309990725830234037477441289357433664604008039827817610813000552733454103031881=22876256267255754603335454525134684528433827435259208340983*7764798237837012077960432433916701320638178865905328167303361117716196045315007 cado polynomial n: 177629514352295386966294876352762227492139377450353681601720309990725830234037477441289357433664604008039827817610813000552733454103031881 skew: 0.23 type: snfs c0: -1 c5: 1500 Y0: 1000000000000000000000000000000000000 Y1: -1 # f(x) = 1500*x^5-1 # g(x) = -x+1000000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 7900000 tasks.lim1 = 7900000 tasks.lpb0 = 28 tasks.lpb1 = 28 tasks.sieve.mfb0 = 53 tasks.sieve.mfb1 = 53 tasks.sieve.lambda0 = 2.5 tasks.sieve.lambda1 = 2.5 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 22876256267255754603335454525134684528433827435259208340983 7764798237837012077960432433916701320638178865905328167303361117716196045315007 Info:Square Root: Total cpu/real time for sqrt: 375.92/119.003 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 22417903 Info:Lattice Sieving: Average J: 1894.86 for 1375057 special-q, max bucket fill -bkmult 1.0,1s:1.168630 Info:Lattice Sieving: Total time: 334161s Info:Generate Free Relations: Total cpu/real time for freerel: 118.86/31.036 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 91.12/106.628 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 106.6s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 213.36/182.306 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 165.0s Info:Filtering - Merging: Merged matrix has 1403283 rows and total weight 239392178 (170.6 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 353.76/98.243 Info:Filtering - Merging: Total cpu/real time for replay: 51.2/43.7977 Info:Linear Algebra: Total cpu/real time for bwc: 31833.5/8163.33 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 20299.95, WCT time 5191.52, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (44032 iterations) Info:Linear Algebra: Lingen CPU time 275.22, WCT time 69.85 Info:Linear Algebra: Mksol: CPU time 11013.49, WCT time 2811.05, iteration CPU time 0.12, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (22016 iterations) Info:Generate Factor Base: Total cpu/real time for makefb: 3.39/1.84703 Info:Quadratic Characters: Total cpu/real time for characters: 48.04/19.4809 Info:Square Root: Total cpu/real time for sqrt: 375.92/119.003 Info:Filtering - Singleton removal: Total cpu/real time for purge: 95.97/106.734 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 669908/101700 Info:root: Cleaning up computation data in /tmp/cado.1arxg0yy 22876256267255754603335454525134684528433827435259208340983 7764798237837012077960432433916701320638178865905328167303361117716196045315007``` `cado-nfs-3.0.0` ```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)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 9, 2022 11:21:17 UTC 2022 年 6 月 9 日 (木) 20 時 21 分 17 秒 (日本時間)

## 3×10184-2

### c167

name 名前 Bob Backstrom June 26, 2022 16:47:49 UTC 2022 年 6 月 27 日 (月) 1 時 47 分 49 秒 (日本時間) `24159008512839274846485663435812764558897920859713350916866731196051964221921681053506070609345489787962955768526521922997157314862524073397996594650064845937931322179<167>` ```77420512573896477803402688128208754438873188941<47> 312049193549060251206911389088677380324764581414497242108146246312434589926532345712441717584212072120048132986357050319<120>``` ```Number: n N=24159008512839274846485663435812764558897920859713350916866731196051964221921681053506070609345489787962955768526521922997157314862524073397996594650064845937931322179 ( 167 digits) SNFS difficulty: 184 digits. Divisors found: Mon Jun 27 02:43:21 2022 p47 factor: 77420512573896477803402688128208754438873188941 Mon Jun 27 02:43:21 2022 p120 factor: 312049193549060251206911389088677380324764581414497242108146246312434589926532345712441717584212072120048132986357050319 Mon Jun 27 02:43:21 2022 elapsed time 00:28:39 (Msieve 1.54 - dependency 4) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.350). Factorization parameters were as follows: # # N = 3x10^184-2 = 29(183)8 # n: 24159008512839274846485663435812764558897920859713350916866731196051964221921681053506070609345489787962955768526521922997157314862524073397996594650064845937931322179 m: 5000000000000000000000000000000000000 deg: 5 c5: 24 c0: -5 skew: 0.73 # Murphy_E = 6.306e-11 type: snfs lss: 1 rlim: 8400000 alim: 8400000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 Factor base limits: 8400000/8400000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 54/54 Sieved special-q in [100000, 17000000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3143449 hash collisions in 28914309 relations (27511186 unique) Msieve: matrix is 1041683 x 1041909 (359.7 MB) Sieving start time : 2022/06/26 22:44:34 Sieving end time : 2022/06/27 02:13:53 Total sieving time: 3hrs 29min 19secs. Total relation processing time: 0hrs 17min 16sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 4min 20sec. Prototype def-par.txt line would be: snfs,184,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,54,54,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.116178] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved) [ 0.153523] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.13 BogoMIPS (lpj=12798268) [ 0.152034] smpboot: Total of 16 processors activated (102386.14 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 8, 2022 19:32:36 UTC 2022 年 6 月 9 日 (木) 4 時 32 分 36 秒 (日本時間)

## 3×10188-2

### c146

name 名前 Eric Jeancolas October 23, 2022 07:17:18 UTC 2022 年 10 月 23 日 (日) 16 時 17 分 18 秒 (日本時間) `89016729269550003903296653987334785577475893099473791329838220617248774309510329767609538582443230975281035279700841886196112495977121591753302051<146>` ```3627271134920279501290012842698866067992919527045803408805147<61> 24540963704800750101265055785355007647151393125927494002351992980381342831806096052633<86>``` ```89016729269550003903296653987334785577475893099473791329838220617248774309510329767609538582443230975281035279700841886196112495977121591753302051=3627271134920279501290012842698866067992919527045803408805147*24540963704800750101265055785355007647151393125927494002351992980381342831806096052633 cado polynomial n: 89016729269550003903296653987334785577475893099473791329838220617248774309510329767609538582443230975281035279700841886196112495977121591753302051 skew: 0.23 type: snfs c0: -1 c5: 1500 Y0: 10000000000000000000000000000000000000 Y1: -1 # f(x) = 1500*x^5-1 # g(x) = -x+10000000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 9600000 tasks.lim1 = 9600000 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: 24540963704800750101265055785355007647151393125927494002351992980381342831806096052633 3627271134920279501290012842698866067992919527045803408805147 Info:Square Root: Total cpu/real time for sqrt: 535.79/167.051 Info:Generate Free Relations: Total cpu/real time for freerel: 119.09/32.7368 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 431.38/435.929 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 350.6s Info:Square Root: Total cpu/real time for sqrt: 535.79/167.051 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 105.27/116.117 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 115.30000000000001s Info:Filtering - Singleton removal: Total cpu/real time for purge: 326.87/353.005 Info:Filtering - Merging: Merged matrix has 1900971 rows and total weight 323171554 (170.0 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 496.3/136.584 Info:Filtering - Merging: Total cpu/real time for replay: 72.34/62.0074 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 25220697 Info:Lattice Sieving: Average J: 1895.38 for 1969829 special-q, max bucket fill -bkmult 1.0,1s:1.159290 Info:Lattice Sieving: Total time: 416219s Info:Linear Algebra: Total cpu/real time for bwc: 60044/15419.8 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 38472.88, WCT time 9821.75, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (59648 iterations) Info:Linear Algebra: Lingen CPU time 378.79, WCT time 96.26 Info:Linear Algebra: Mksol: CPU time 20833.94, WCT time 5360.35, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (29952 iterations) Info:Quadratic Characters: Total cpu/real time for characters: 66.64/29.2183 Info:Generate Factor Base: Total cpu/real time for makefb: 4.08/2.11072 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 860577/126052 Info:root: Cleaning up computation data in /tmp/cado.iagt6cqv 24540963704800750101265055785355007647151393125927494002351992980381342831806096052633 3627271134920279501290012842698866067992919527045803408805147``` `cado-nfs-3.0.0` ```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)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 10, 2022 16:49:30 UTC 2022 年 6 月 11 日 (土) 1 時 49 分 30 秒 (日本時間)

## 3×10189-2

### c129

name 名前 Eric Jeancolas June 5, 2022 13:32:03 UTC 2022 年 6 月 5 日 (日) 22 時 32 分 3 秒 (日本時間) `242492499420881482379643406866049291729429067908438774305947339150709269884059027293465874750428797265554991445229026654765189191<129>` ```13320180932011102332391485358489582433816607560179229728590390317<65> 18204895313255296371879902073765255727991567243973532518992470723<65>``` ```242492499420881482379643406866049291729429067908438774305947339150709269884059027293465874750428797265554991445229026654765189191=13320180932011102332391485358489582433816607560179229728590390317*18204895313255296371879902073765255727991567243973532518992470723 cado polynomial n: 242492499420881482379643406866049291729429067908438774305947339150709269884059027293465874750428797265554991445229026654765189191 skew: 14908.418 c0: -1543414433409827932768235456 c1: 1268895244571694704551748 c2: 75433291235272092341 c3: -5227031550046523 c4: 17085255870 c5: -6080400 Y0: -3312498729760919929846719 Y1: 33879984507514561 # MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 5.281e-07 # f(x) = -6080400*x^5+17085255870*x^4-5227031550046523*x^3+75433291235272092341*x^2+1268895244571694704551748*x-1543414433409827932768235456 # g(x) = 33879984507514561*x-3312498729760919929846719 cado parameters (extracts) tasks.lim0 = 13124945 tasks.lim1 = 44217255 tasks.lpb0 = 28 tasks.lpb1 = 28 tasks.sieve.mfb0 = 56 tasks.sieve.mfb1 = 56 tasks.sieve.ncurves0 = 16 tasks.sieve.ncurves1 = 21 tasks.I = 14 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 13320180932011102332391485358489582433816607560179229728590390317 18204895313255296371879902073765255727991567243973532518992470723 Info:Square Root: Total cpu/real time for sqrt: 1475.17/430.758 Info:Filtering - Singleton removal: Total cpu/real time for purge: 157.18/180.135 Info:Linear Algebra: Total cpu/real time for bwc: 49732.8/12760 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 31844.62, WCT time 8130.08, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (54528 iterations) Info:Linear Algebra: Lingen CPU time 342.98, WCT time 87.11 Info:Linear Algebra: Mksol: CPU time 17227.52, WCT time 4422.56, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (27392 iterations) Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 23640297 Info:Lattice Sieving: Average J: 7572.82 for 59052 special-q, max bucket fill -bkmult 1.0,1s:1.068320 Info:Lattice Sieving: Total time: 82130.7s Info:Generate Factor Base: Total cpu/real time for makefb: 40.56/10.7421 Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 4821.39 Info:Polynomial Selection (root optimized): Rootsieve time: 4818.93 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 102.22/120.812 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 120.6s Info:Filtering - Merging: Merged matrix has 1739763 rows and total weight 296559193 (170.5 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 456.52/128.863 Info:Filtering - Merging: Total cpu/real time for replay: 71.14/59.8362 Info:Quadratic Characters: Total cpu/real time for characters: 68.29/28.785 Info:Generate Free Relations: Total cpu/real time for freerel: 251.84/64.4921 Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 38210.8 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38793/37.900/45.806/50.070/0.855 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30699/36.930/41.079/46.620/0.936 Info:Polynomial Selection (size optimized): Total time: 4857.76 Info:Square Root: Total cpu/real time for sqrt: 1475.17/430.758 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 316.73/283.048 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 256.1s Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 217150/58569.2 Info:root: Cleaning up computation data in /tmp/cado.2p24kwpk 13320180932011102332391485358489582433816607560179229728590390317 18204895313255296371879902073765255727991567243973532518992470723``` `cado-nfs-3.0.0` ```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)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 3, 2022 11:23:06 UTC 2022 年 6 月 3 日 (金) 20 時 23 分 6 秒 (日本時間)
4511e64480Ignacio SantosJune 5, 2022 10:13:12 UTC 2022 年 6 月 5 日 (日) 19 時 13 分 12 秒 (日本時間)

## 3×10190-2

### c183

name 名前 Bob Backstrom June 22, 2022 16:03:02 UTC 2022 年 6 月 23 日 (木) 1 時 3 分 2 秒 (日本時間) `577878643712659167522665459850590632425379397555349890686549493167683007520859396462774001640481893771496844763342707423856687329167033780127269680976701204418521750215654678522835857<183>` ```11313773223615178747718991069523619745561287537387129486424467887148889017659<77> 51077446249890897968016792786670915800027080967331495573170015033154209194861494333069893208321457127548323<107>``` ```Number: n N=577878643712659167522665459850590632425379397555349890686549493167683007520859396462774001640481893771496844763342707423856687329167033780127269680976701204418521750215654678522835857 ( 183 digits) SNFS difficulty: 190 digits. Divisors found: Wed Jun 22 21:40:41 2022 p77 factor: 11313773223615178747718991069523619745561287537387129486424467887148889017659 Wed Jun 22 21:40:41 2022 p107 factor: 51077446249890897968016792786670915800027080967331495573170015033154209194861494333069893208321457127548323 Wed Jun 22 21:40:41 2022 elapsed time 00:30:29 (Msieve 1.54 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.333). Factorization parameters were as follows: # # N = 3x10^190-2 = 29(189)8 # n: 577878643712659167522665459850590632425379397555349890686549493167683007520859396462774001640481893771496844763342707423856687329167033780127269680976701204418521750215654678522835857 m: 100000000000000000000000000000000000000 deg: 5 c5: 3 c0: -2 skew: 0.92 # Murphy_E = 5.102e-11 type: snfs lss: 1 rlim: 10500000 alim: 10500000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 Factor base limits: 10500000/10500000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 54/54 Sieved special-q in [100000, 10850000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3104497 hash collisions in 28917297 relations (27564084 unique) Msieve: matrix is 1128985 x 1129211 (392.0 MB) Sieving start time : 2022/06/22 17:54:21 Sieving end time : 2022/06/22 21:09:38 Total sieving time: 3hrs 15min 17secs. Total relation processing time: 0hrs 21min 0sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 2min 10sec. Prototype def-par.txt line would be: snfs,190,5,0,0,0,0,0,0,0,0,10500000,10500000,28,28,54,54,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.118494] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16197192K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530044K reserved, 0K cma-reserved) [ 0.153548] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.34 BogoMIPS (lpj=12798684) [ 0.152038] smpboot: Total of 16 processors activated (102389.47 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10192-2

### c122

name 名前 Ignacio Santos June 3, 2022 10:46:24 UTC 2022 年 6 月 3 日 (金) 19 時 46 分 24 秒 (日本時間) `24227675445645218715505765107203050216542850280373913836766998721856378207518707213086613149474588350242781430752381694971<122>` ```374976061042956567430935706464459289801<39> 64611259124805145377302933803424985840531844638845267582302467656806689400720939171<83>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1211987477 Step 1 took 4797ms Step 2 took 2859ms ********** Factor found in step 2: 374976061042956567430935706464459289801 Found prime factor of 39 digits: 374976061042956567430935706464459289801 Prime cofactor 64611259124805145377302933803424985840531844638845267582302467656806689400720939171 has 83 digits``` `GMP-ECM`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10193-2

### c163

name 名前 Bob Backstrom July 22, 2022 00:16:48 UTC 2022 年 7 月 22 日 (金) 9 時 16 分 48 秒 (日本時間) `4520999668581024607718587624263512071122249506534138740491387319069253518467168938445464629114624072132411378009755344878301743938092613413801300228175754419243731<163>` ```1292430861558377123588244635462487185115463930668437<52> 3498059202276962939381395233276230483037266513362799603604807133503074509398085279758467632773944601364034110663<112>``` ```Number: n N=4520999668581024607718587624263512071122249506534138740491387319069253518467168938445464629114624072132411378009755344878301743938092613413801300228175754419243731 ( 163 digits) SNFS difficulty: 193 digits. Divisors found: Fri Jul 22 10:12:24 2022 p52 factor: 1292430861558377123588244635462487185115463930668437 Fri Jul 22 10:12:24 2022 p112 factor: 3498059202276962939381395233276230483037266513362799603604807133503074509398085279758467632773944601364034110663 Fri Jul 22 10:12:24 2022 elapsed time 00:54:28 (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 = 3x10^193-2 = 29(192)8 # n: 4520999668581024607718587624263512071122249506534138740491387319069253518467168938445464629114624072132411378009755344878301743938092613413801300228175754419243731 m: 100000000000000000000000000000000000000 deg: 5 c5: 1500 c0: -1 skew: 0.23 # Murphy_E = 2.607e-11 type: snfs lss: 1 rlim: 11600000 alim: 11600000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 11600000/11600000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved special-q in [100000, 18600000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3402716 hash collisions in 28908155 relations (26438344 unique) Msieve: matrix is 1520461 x 1520686 (529.5 MB) Sieving start time : 2022/07/22 03:31:53 Sieving end time : 2022/07/22 08:27:23 Total sieving time: 4hrs 55min 30secs. Total relation processing time: 0hrs 44min 7sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 2min 6sec. Prototype def-par.txt line would be: snfs,193,5,0,0,0,0,0,0,0,0,11600000,11600000,28,28,55,55,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.118312] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved) [ 0.153549] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.21 BogoMIPS (lpj=12798428) [ 0.152036] smpboot: Total of 16 processors activated (102387.42 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 26, 2022 16:45:55 UTC 2022 年 6 月 27 日 (月) 1 時 45 分 55 秒 (日本時間)

## 3×10196-2

### c144

name 名前 Ignacio Santos July 20, 2022 09:14:56 UTC 2022 年 7 月 20 日 (水) 18 時 14 分 56 秒 (日本時間) `657463820177109541691153372035692800405588565814124119426295207056456894460232746970140255992154172726551625028927031022483446718414886084729421<144>` `321951791044521772479690796185023591<36>` `2042118846564176408100598238988045275447722404545764979212106124077679110028158866658215824241511440537529131<109>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3589017804 Step 1 took 3438ms Step 2 took 2656ms ********** Factor found in step 1: 321951791044521772479690796185023591 Found prime factor of 36 digits: 321951791044521772479690796185023591 Composite cofactor 2042118846564176408100598238988045275447722404545764979212106124077679110028158866658215824241511440537529131 has 109 digits ``` `GMP-ECM`

### c109

name 名前 Bob Backstrom July 22, 2022 04:00:38 UTC 2022 年 7 月 22 日 (金) 13 時 0 分 38 秒 (日本時間) `2042118846564176408100598238988045275447722404545764979212106124077679110028158866658215824241511440537529131<109>` ```132117202113537649511930769145890760671645281848565353<54> 15456873245084613213727016711120167095137217497446298227<56>``` ```Number: n N=2042118846564176408100598238988045275447722404545764979212106124077679110028158866658215824241511440537529131 ( 109 digits) Divisors found: Fri Jul 22 13:57:08 2022 p54 factor: 132117202113537649511930769145890760671645281848565353 Fri Jul 22 13:57:08 2022 p56 factor: 15456873245084613213727016711120167095137217497446298227 Fri Jul 22 13:57:08 2022 elapsed time 00:04:31 (Msieve 1.54 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.323). Factorization parameters were as follows: # # N = 3x10^196-2 = 29(195)8 # # Murphy_E = 1.874e-06, selected by Eric Jeancolas # From cado-nfs-3.0.0 n: 2042118846564176408100598238988045275447722404545764979212106124077679110028158866658215824241511440537529131 Y0: -823371861299551408708 Y1: 438014894304427 c0: -2559149570366331698793301 c1: -257108988687518247754 c2: 158648206137742420 c3: -442894692398 c4: -20336847 c5: 16200 skew: 11372.651 type: gnfs # selected mechanically rlim: 2500000 alim: 2500000 lpbr: 27 lpba: 27 mfbr: 49 mfba: 49 rlambda: 2.5 alambda: 2.5 Factor base limits: 2500000/2500000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 49/49 Sieved special-q in [100000, 6850000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1298605 hash collisions in 11543884 relations (10598820 unique) Msieve: matrix is 268269 x 268504 (90.6 MB) Sieving start time : 2022/07/22 13:49:16 Sieving end time : 2022/07/22 13:52:04 Total sieving time: 0hrs 2min 48secs. Total relation processing time: 0hrs 1min 9sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 54sec. Prototype def-par.txt line would be: gnfs,108,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,27,27,49,49,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.118312] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved) [ 0.153549] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.21 BogoMIPS (lpj=12798428) [ 0.152036] smpboot: Total of 16 processors activated (102387.42 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10199-2

### c142

name 名前 Eric Jeancolas October 24, 2022 17:55:52 UTC 2022 年 10 月 25 日 (火) 2 時 55 分 52 秒 (日本時間) `3721124879984633018273537651074665210341285520920576888841156460015871295099489869222896223709961754500198275447404656238472672360070185592379<142>` ```370686853697135701762218126153729334435986682991474863<54> 10038459262504420882971211214466307236971532977332637160037220349466780305558161879201333<89>``` ```3721124879984633018273537651074665210341285520920576888841156460015871295099489869222896223709961754500198275447404656238472672360070185592379=370686853697135701762218126153729334435986682991474863*10038459262504420882971211214466307236971532977332637160037220349466780305558161879201333 cado polynomial n: 3721124879984633018273537651074665210341285520920576888841156460015871295099489869222896223709961754500198275447404656238472672360070185592379 skew: 0.64 type: snfs c0: -1 c6: 15 Y0: 1000000000000000000000000000000000 Y1: -1 # f(x) = 15*x^6-1 # g(x) = -x+1000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 14600000 tasks.lim1 = 14600000 tasks.lpb0 = 28 tasks.lpb1 = 28 tasks.sieve.mfb0 = 55 tasks.sieve.mfb1 = 55 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: 370686853697135701762218126153729334435986682991474863 10038459262504420882971211214466307236971532977332637160037220349466780305558161879201333 Info:Square Root: Total cpu/real time for sqrt: 724.32/219.71 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 120.04/133.916 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 132.70000000000002s Info:Filtering - Singleton removal: Total cpu/real time for purge: 426.88/490.418 Info:Filtering - Merging: Merged matrix has 2571314 rows and total weight 440123696 (171.2 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 717.9/197.263 Info:Filtering - Merging: Total cpu/real time for replay: 101.49/100.739 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 28300270 Info:Lattice Sieving: Average J: 1894.48 for 3350458 special-q, max bucket fill -bkmult 1.0,1s:1.222800 Info:Lattice Sieving: Total time: 1.00945e+06s Info:Linear Algebra: Total cpu/real time for bwc: 116250/29762.5 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 74468.25, WCT time 18990.22, iteration CPU time 0.22, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (80384 iterations) Info:Linear Algebra: Lingen CPU time 543.21, WCT time 137.85 Info:Linear Algebra: Mksol: CPU time 40306.61, WCT time 10316.69, iteration CPU time 0.24, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (40448 iterations) Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 527.85/541.091 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 443.19999999999993s Info:Quadratic Characters: Total cpu/real time for characters: 88.49/38.8314 Info:Generate Factor Base: Total cpu/real time for makefb: 9.43/3.61533 Info:Generate Free Relations: Total cpu/real time for freerel: 183.2/47.2737 Info:Square Root: Total cpu/real time for sqrt: 724.32/219.71 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.07327e+06/118780 Info:root: Cleaning up computation data in /tmp/cado.wjs_3y2m 370686853697135701762218126153729334435986682991474863 10038459262504420882971211214466307236971532977332637160037220349466780305558161879201333``` `cado-nfs-3.0.0` ```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)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosAugust 26, 2022 15:05:50 UTC 2022 年 8 月 27 日 (土) 0 時 5 分 50 秒 (日本時間)

## 3×10200-2

### c164

name 名前 Bob Backstrom September 3, 2022 05:24:22 UTC 2022 年 9 月 3 日 (土) 14 時 24 分 22 秒 (日本時間) `81400462766030817512668790810441340815132182738481161429309776163405095025614588781859798908659711676904961907936106844462511934624918378994222832437428786329247111<164>` ```50577595931303881732135727758381630867<38> 1609417396520616466753525982043110709598913658410859473827679415831205350024763025183911787794520632195373055496706122748985533<127>``` ```GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 81400462766030817512668790810441340815132182738481161429309776163405095025614588781859798908659711676904961907936106844462511934624918378994222832437428786329247111 (164 digits) Using B1=19530000, B2=70271979970, polynomial Dickson(12), sigma=1:1744797731 Step 1 took 45635ms Step 2 took 18747ms ********** Factor found in step 2: 50577595931303881732135727758381630867 Found prime factor of 38 digits: 50577595931303881732135727758381630867 Prime cofactor 1609417396520616466753525982043110709598913658410859473827679415831205350024763025183911787794520632195373055496706122748985533 has 127 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10202-2

### c189

name 名前 Bob Backstrom June 22, 2023 00:13:55 UTC 2023 年 6 月 22 日 (木) 9 時 13 分 55 秒 (日本時間) `346347804078935242734658002843597508029268673189957421847229613688283300051547906876620061055635430598682911850289869413903295519713056696431068087117873668853373613144150598505375578514383<189>` ```343672531226662105323880887273639561649445965733354430076126841837<66> 1007784366247498309862032558620708218218106448843349463421888715626081658096101411686986898349188116809511647526412395958059<124>``` ```Number: n N=346347804078935242734658002843597508029268673189957421847229613688283300051547906876620061055635430598682911850289869413903295519713056696431068087117873668853373613144150598505375578514383 ( 189 digits) SNFS difficulty: 202 digits. Divisors found: Thu Jun 22 09:51:51 2023 prp66 factor: 343672531226662105323880887273639561649445965733354430076126841837 Thu Jun 22 09:51:51 2023 prp124 factor: 1007784366247498309862032558620708218218106448843349463421888715626081658096101411686986898349188116809511647526412395958059 Thu Jun 22 09:51:51 2023 elapsed time 02:29:19 (Msieve 1.44 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.086). Factorization parameters were as follows: # # N = 3x10^202-2 = 29(201)8 # n: 346347804078935242734658002843597508029268673189957421847229613688283300051547906876620061055635430598682911850289869413903295519713056696431068087117873668853373613144150598505375578514383 m: 10000000000000000000000000000000000000000 deg: 5 c5: 150 c0: -1 skew: 0.37 # Murphy_E = 1.512e-11 type: snfs lss: 1 rlim: 16400000 alim: 16400000 lpbr: 27 lpba: 27 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 16400000/16400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 56/56 Sieved special-q in [100000, 41000000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 2211772 hash collisions in 15565875 relations (14162315 unique) Msieve: matrix is 2194475 x 2194700 (622.4 MB) Sieving start time: 2023/06/21 15:18:28 Sieving end time : 2023/06/22 07:22:14 Total sieving time: 16hrs 3min 46secs. Total relation processing time: 2hrs 22min 28sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 2min 36sec. Prototype def-par.txt line would be: snfs,202,5,0,0,0,0,0,0,0,0,16400000,16400000,27,27,56,56,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ----------```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10203-2

### c204

name 名前 Bob Backstrom July 10, 2023 12:55:24 UTC 2023 年 7 月 10 日 (月) 21 時 55 分 24 秒 (日本時間) `149999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<204>` ```134415932956207172960765924977640767016348704731947623697320589188628468557561697629696399627<93> 1115939135346924456794569788650438468286374103706232762638314316289363703324244406727389480882707659161793369437<112>``` ```Number: n N=149999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 ( 204 digits) SNFS difficulty: 203 digits. Divisors found: Mon Jul 10 22:37:25 2023 prp93 factor: 134415932956207172960765924977640767016348704731947623697320589188628468557561697629696399627 Mon Jul 10 22:37:25 2023 prp112 factor: 1115939135346924456794569788650438468286374103706232762638314316289363703324244406727389480882707659161793369437 Mon Jul 10 22:37:25 2023 elapsed time 03:16:02 (Msieve 1.44 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.092). Factorization parameters were as follows: # # N = 3x10^203-2 = 29(202)8 # n: 149999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 m: 10000000000000000000000000000000000000000 deg: 5 c5: 1500 c0: -1 skew: 0.23 # Murphy_E = 9.974e-12 type: snfs lss: 1 rlim: 17000000 alim: 17000000 lpbr: 27 lpba: 27 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 17000000/17000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 56/56 Sieved special-q in [100000, 41300000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3069030 hash collisions in 16950380 relations (14530142 unique) Msieve: matrix is 2473370 x 2473595 (698.6 MB) Sieving start time: 2023/07/10 02:48:31 Sieving end time : 2023/07/10 19:21:01 Total sieving time: 16hrs 32min 30secs. Total relation processing time: 3hrs 4min 52sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 6min 37sec. Prototype def-par.txt line would be: snfs,203,5,0,0,0,0,0,0,0,0,17000000,17000000,27,27,56,56,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ----------```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10204-2

### c177

name 名前 Bob Backstrom August 25, 2023 15:24:00 UTC 2023 年 8 月 26 日 (土) 0 時 24 分 0 秒 (日本時間) `454189212105818844941952153485799370183086317294447006158786409581465928914971228912685128220370789060125194726524259928993241864123375352223319367560178546998332720109839458961<177>` ```11659549503491047829006943194750856196703275138829<50> 104597625338951398045604949037359909593015085918813236783<57> 372420191468347688210820555222381038386295681243982851303943169427046523<72>``` ```Number: n N=454189212105818844941952153485799370183086317294447006158786409581465928914971228912685128220370789060125194726524259928993241864123375352223319367560178546998332720109839458961 ( 177 digits) SNFS difficulty: 204 digits. Divisors found: Sat Aug 26 01:17:27 2023 prp50 factor: 11659549503491047829006943194750856196703275138829 Sat Aug 26 01:17:27 2023 prp57 factor: 104597625338951398045604949037359909593015085918813236783 Sat Aug 26 01:17:27 2023 prp72 factor: 372420191468347688210820555222381038386295681243982851303943169427046523 Sat Aug 26 01:17:27 2023 elapsed time 03:10:53 (Msieve 1.44 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.110). Factorization parameters were as follows: # # N = 3x10^204-2 = 29(203)8 # n: 454189212105818844941952153485799370183086317294447006158786409581465928914971228912685128220370789060125194726524259928993241864123375352223319367560178546998332720109839458961 m: 10000000000000000000000000000000000 deg: 6 c6: 3 c0: -2 skew: 0.93 # Murphy_E = 9.522e-12 type: snfs lss: 1 rlim: 17900000 alim: 17900000 lpbr: 27 lpba: 27 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 17900000/17900000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 56/56 Sieved special-q in [100000, 48950000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3160963 hash collisions in 17383942 relations (15147361 unique) Msieve: matrix is 2440269 x 2440494 (691.2 MB) Sieving start time: 2023/08/25 02:45:59 Sieving end time : 2023/08/25 22:06:12 Total sieving time: 19hrs 20min 13secs. Total relation processing time: 2hrs 59min 48sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 6min 20sec. Prototype def-par.txt line would be: snfs,204,6,0,0,0,0,0,0,0,0,17900000,17900000,27,27,56,56,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ----------```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62400cccAugust 13, 2023 14:15:25 UTC 2023 年 8 月 13 日 (日) 23 時 15 分 25 秒 (日本時間)

## 3×10206-2

### c199

name 名前 Bob Backstrom January 1, 2024 14:36:17 UTC 2024 年 1 月 1 日 (月) 23 時 36 分 17 秒 (日本時間) `3566903614488486641506045628163947540740043565209573065178909583773023560278209921361427185669531944487280314703625621981790196108598518151294782445155706162380053056977884793341095074127509813086879<199>` ```27054893719037923245410386695451686799016597117<47> 291382042571316921217892376654648620623220709460709001649378715520043139803<75> 452462674559388666954189429911176693642654031838872972021559515987862439061329<78>``` ```Number: n N=3566903614488486641506045628163947540740043565209573065178909583773023560278209921361427185669531944487280314703625621981790196108598518151294782445155706162380053056977884793341095074127509813086879 ( 199 digits) SNFS difficulty: 206 digits. Divisors found: Mon Jan 1 09:42:04 2024 prp47 factor: 27054893719037923245410386695451686799016597117 Mon Jan 1 09:42:04 2024 prp75 factor: 291382042571316921217892376654648620623220709460709001649378715520043139803 Mon Jan 1 09:42:04 2024 prp78 factor: 452462674559388666954189429911176693642654031838872972021559515987862439061329 Mon Jan 1 09:42:04 2024 elapsed time 02:55:58 (Msieve 1.44 - dependency 7) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.110). Factorization parameters were as follows: # # N = 3x10^206-2 = 29(205)8 # n: 3566903614488486641506045628163947540740043565209573065178909583773023560278209921361427185669531944487280314703625621981790196108598518151294782445155706162380053056977884793341095074127509813086879 m: 100000000000000000000000000000000000000000 deg: 5 c5: 15 c0: -1 skew: 0.58 # Murphy_E = 9.961e-12 type: snfs lss: 1 rlim: 19100000 alim: 19100000 lpbr: 27 lpba: 27 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 19100000/19100000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 56/56 Sieved special-q in [100000, 42350000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3524231 hash collisions in 20383128 relations (16922072 unique) Msieve: matrix is 2266812 x 2267037 (636.9 MB) Sieving start time: 2023/12/31 12:30:57 Sieving end time : 2024/01/01 06:36:52 Total sieving time: 18hrs 5min 55secs. Total relation processing time: 2hrs 34min 3sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 16min 33sec. Prototype def-par.txt line would be: snfs,206,5,0,0,0,0,0,0,0,0,19100000,19100000,27,27,56,56,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ----------```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350cccAugust 13, 2023 19:41:53 UTC 2023 年 8 月 14 日 (月) 4 時 41 分 53 秒 (日本時間)

## 3×10208-2

### c189

composite cofactor 合成数の残り `775273850200015226626191083664029689459508101127687069549042628047480646303682796310795487267763635942912142094364971541650126933681724443620198813019727633935553698518844435926961106034131<189>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62500dddApril 14, 2024 05:13:42 UTC 2024 年 4 月 14 日 (日) 14 時 13 分 42 秒 (日本時間)

## 3×10209-2

### c169

name 名前 anonymous April 14, 2024 13:46:52 UTC 2024 年 4 月 14 日 (日) 22 時 46 分 52 秒 (日本時間) `1379045652240576125474706604801116722573905858777957608269203979343002311182361759921124001878635799773951065958970578877548956304991607390648458568115424716076917544569<169>` `4599392464265949651407263328316302770507<40>` `299832132820756796863406361569117605784723528482999711844703892242994027938399307026351821957177691860306668713824467048956145867<129>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:2604712337906636173 Step 1 took 14906ms Step 2 took 5797ms ********** Factor found in step 2: 4599392464265949651407263328316302770507 Found prime factor of 40 digits: 4599392464265949651407263328316302770507 Composite cofactor 299832132820756796863406361569117605784723528482999711844703892242994027938399307026351821957177691860306668713824467048956145867 has 129 digits```

### c129

name 名前 Bob Backstrom April 20, 2024 19:59:43 UTC 2024 年 4 月 21 日 (日) 4 時 59 分 43 秒 (日本時間) `299832132820756796863406361569117605784723528482999711844703892242994027938399307026351821957177691860306668713824467048956145867<129>` ```1631788832352265696021683706413941895220128292695950689<55> 183744444670908209875094383212396348706935152553818116114312133737558604203<75>``` ```CADO: STA:Sat 20 Apr 2024 18:32:28 AEST (299832132820756796863406361569117605784723528482999711844703892242994027938399307026351821957177691860306668713824467048956145867 - C129) /home/vboxuser/Math/cado-nfs/cado-nfs.py -t 20 --no-colors --screenlog DEBUG 299832132820756796863406361569117605784723528482999711844703892242994027938399307026351821957177691860306668713824467048956145867 2>&1 | tee -a log-62 Debug:root: Looking for parameter file for c129 in directory /home/vboxuser/Math/cado-nfs/parameters/factor Info:root: Using default parameter file /home/vboxuser/Math/cado-nfs/parameters/factor/params.c130 Debug:Parameters: Reading parameter file /home/vboxuser/Math/cado-nfs/parameters/factor/params.c130 Info:root: No database exists yet Info:root: Created temporary directory /tmp/cado.3uim2t7y Info:Database: Opened connection to database /tmp/cado.3uim2t7y/c130.db Info:root: Set tasks.threads=20 based on --server-threads 20 Info:root: tasks.threads = 20 [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 = 20 [via tasks.threads] Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads] Info:root: slaves.scriptpath is /home/vboxuser/Math/cado-nfs/build/Ubuntu Info:root: Command line parameters: /home/vboxuser/Math/cado-nfs/cado-nfs.py -t 20 --no-colors --screenlog DEBUG 299832132820756796863406361569117605784723528482999711844703892242994027938399307026351821957177691860306668713824467048956145867 Debug:root: Root parameter dictionary: N = 299832132820756796863406361569117605784723528482999711844703892242994027938399307026351821957177691860306668713824467048956145867 name = c130 === Info:Polynomial Selection (root optimized): Best polynomial is: n: 299832132820756796863406361569117605784723528482999711844703892242994027938399307026351821957177691860306668713824467048956145867 skew: 172090.102 c0: 890366729145507499193543408335 c1: 21533959753094703112465132 c2: -209341967631516121201 c3: -690049653923410 c4: 3156379158 c5: 9450 Y0: -9900312036614744218936544 Y1: 22078026433347599 # MurphyE (Bf=5.369e+08,Bg=2.684e+08,area=2.517e+13) = 1.744e-06 # f(x) = 9450*x^5+3156379158*x^4-690049653923410*x^3-209341967631516121201*x^2+21533959753094703112465132*x+890366729145507499193543408335 # g(x) = 22078026433347599*x-9900312036614744218936544 === Debug:Command: Process with PID 736066 finished successfully Info:Square Root: finished Info:Square Root: Factors: 1631788832352265696021683706413941895220128292695950689 183744444670908209875094383212396348706935152553818116114312133737558604203 Debug:Square Root: Exit SqrtTask.run(sqrt) Info:Complete Factorization / Discrete logarithm: Square Root Info:Square Root: Total cpu/real time for sqrt: 2134.95/370.51 Info:HTTP server: Got notification to stop serving Workunits Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 1362.08 Info:Polynomial Selection (root optimized): Rootsieve time: 1361.12 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 32526147 Info:Lattice Sieving: Average J: 3910.92 for 220557 special-q, max bucket fill -bkmult 1.0,1s:1.327030 Info:Lattice Sieving: Total time: 282758s Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 55466.4 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38293/37.190/47.146/58.550/1.909 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 32007/36.990/41.228/50.130/1.236 Info:Polynomial Selection (size optimized): Total time: 16256.1 Info:Square Root: Total cpu/real time for sqrt: 2134.95/370.51 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 794.13/2095.3 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 1081.5s Info:Generate Factor Base: Total cpu/real time for makefb: 5.5/1.77853 Info:Quadratic Characters: Total cpu/real time for characters: 56.85/13.5914 Info:Filtering - Singleton removal: Total cpu/real time for purge: 269.98/276.823 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 318.91/998.103 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 997.2s Info:Filtering - Merging: Total cpu/real time for merge: 353.99/45.2804 Info:Filtering - Merging: Total cpu/real time for replay: 24.74/22.0572 Info:Generate Free Relations: Total cpu/real time for freerel: 678.2/50.8824 Info:Linear Algebra: Total cpu/real time for bwc: 22071.6/6098.57 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 7616.34, WCT time 3200.91, iteration CPU time 0.02, COMM 0.05, cpu-wait 0.01, comm-wait 0.01 (36000 iterations) Info:Linear Algebra: Lingen CPU time 8330.12, WCT time 673.63 Info:Linear Algebra: Mksol: CPU time 4989.12, WCT time 1864.66, iteration CPU time 0.04, COMM 0.05, cpu-wait 0.01, comm-wait 0.0 (18000 iterations) Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 355331/37875.5 [10:31:16] Info:root: Cleaning up computation data in /tmp/cado.3uim2t7y 1631788832352265696021683706413941895220128292695950689 183744444670908209875094383212396348706935152553818116114312133737558604203 END:Sun 21 Apr 2024 05:03:46 AEST (299832132820756796863406361569117605784723528482999711844703892242994027938399307026351821957177691860306668713824467048956145867 - C129)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10211-2

### c140

name 名前 Ignacio Santos June 4, 2022 20:05:03 UTC 2022 年 6 月 5 日 (日) 5 時 5 分 3 秒 (日本時間) `36048698987178349700790677313376281813224715163516372209538375209178533907164448694403457047766398092068935096290130523464777035031571698431<140>` ```797057579055878847840313678124381489841599<42> 45227220635525886795008860203105824641213315338759121615268277947304243196383042351238928182411969<98>``` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1140982004 Step 1 took 21532ms Step 2 took 10593ms ********** Factor found in step 2: 797057579055878847840313678124381489841599 Found prime factor of 42 digits: 797057579055878847840313678124381489841599 Prime cofactor 45227220635525886795008860203105824641213315338759121615268277947304243196383042351238928182411969 has 98 digits``` `GMP-ECM`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 3, 2022 12:47:38 UTC 2022 年 6 月 3 日 (金) 21 時 47 分 38 秒 (日本時間)

## 3×10215-2

### c95

name 名前 Eric Jeancolas May 30, 2022 05:17:50 UTC 2022 年 5 月 30 日 (月) 14 時 17 分 50 秒 (日本時間) `31487485991643138171459591723552096028709476206537849300108392288483331669695125437807374631727<95>` ```8127535664154781564976217874215781<34> 3874173832360249792279097983949902672515211452695155950302467<61>``` ```31487485991643138171459591723552096028709476206537849300108392288483331669695125437807374631727=8127535664154781564976217874215781*3874173832360249792279097983949902672515211452695155950302467 cado polynomial n: 31487485991643138171459591723552096028709476206537849300108392288483331669695125437807374631727 skew: 249241.664 c0: 7370579409751695040341655 c1: -184431191664055060870 c2: -393116332840177 c3: 1884443104 c4: 4380 Y0: -50230293587027556605622 Y1: 16374954169546937 # MurphyE (Bf=3.355e+07,Bg=1.678e+07,area=4.194e+11) = 9.983e-06 # f(x) = 4380*x^4+1884443104*x^3-393116332840177*x^2-184431191664055060870*x+7370579409751695040341655 # g(x) = 16374954169546937*x-50230293587027556605622 cado parameters (extracts) tasks.lim0 = 600000 tasks.lim1 = 850000 tasks.lpb0 = 24 tasks.lpb1 = 25 tasks.sieve.mfb0 = 48 tasks.sieve.mfb1 = 50 tasks.I = 11 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 3874173832360249792279097983949902672515211452695155950302467 8127535664154781564976217874215781 Info:Square Root: Total cpu/real time for sqrt: 26.24/22.7615 Info:Quadratic Characters: Total cpu/real time for characters: 4.54/2.86689 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 24.6/25.0833 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 17.599999999999998s Info:Square Root: Total cpu/real time for sqrt: 26.24/22.7615 Info:Linear Algebra: Total cpu/real time for bwc: 201.07/53.95 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 115.62, WCT time 30.37, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3968 iterations) Info:Linear Algebra: Lingen CPU time 14.93, WCT time 3.86 Info:Linear Algebra: Mksol: CPU time 63.99, WCT time 16.95, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (1984 iterations) Info:Filtering - Singleton removal: Total cpu/real time for purge: 15.23/16.6301 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 2566877 Info:Lattice Sieving: Average J: 1024 for 35429 special-q, max bucket fill -bkmult 1.0,1s:1.354660 Info:Lattice Sieving: Total time: 2167.96s Info:Generate Factor Base: Total cpu/real time for makefb: 0.61/0.449613 Info:Generate Free Relations: Total cpu/real time for freerel: 24.17/14.9315 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 9.31/8.78039 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 8.5s Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 49.2 Info:Polynomial Selection (root optimized): Rootsieve time: 48.83 Info:Filtering - Merging: Merged matrix has 125525 rows and total weight 18297929 (145.8 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 16.63/5.03279 Info:Filtering - Merging: Total cpu/real time for replay: 3.84/3.12184 Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 7181.67 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 7381/30.870/36.481/45.350/1.357 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 4929/29.990/34.455/38.410/1.140 Info:Polynomial Selection (size optimized): Total time: 126.9 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3213.75/1345.04 Info:root: Cleaning up computation data in /tmp/cado.wuro1kf3 3874173832360249792279097983949902672515211452695155950302467 8127535664154781564976217874215781``` `cado-nfs-3.0.0` ```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)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10217-2

### c196

composite cofactor 合成数の残り `2710784694874625680924093415327234455142186425565726110430548142028789022021977295872895676960842471391062803437272647862741552886370482208325850340006464052378197921793925015017313660714385447531<196>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62500cccJune 9, 2024 09:59:43 UTC 2024 年 6 月 9 日 (日) 18 時 59 分 43 秒 (日本時間)
4511e6722 / 3882cccJune 9, 2024 16:54:21 UTC 2024 年 6 月 10 日 (月) 1 時 54 分 21 秒 (日本時間)

## 3×10219-2

### c201

name 名前 Erik Branger September 1, 2022 18:23:57 UTC 2022 年 9 月 2 日 (金) 3 時 23 分 57 秒 (日本時間) `170081589003046940642771731044656669630471964659134600907125022705527056934531956548599840724524411733495209092073870794840904956317698505716402629623531621881227293256163834810848376109180717549091823<201>` ```1508345418894473657832669224702100368055346585284720866595803107<64> 112760370981672421636398957393902845657658063584074686426692865943146340294215074977695455961292288627098062965262637204185951477221017989<138>``` ```Number: 29998_219 N = 170081589003046940642771731044656669630471964659134600907125022705527056934531956548599840724524411733495209092073870794840904956317698505716402629623531621881227293256163834810848376109180717549091823 (201 digits) SNFS difficulty: 221 digits. Divisors found: r1=1508345418894473657832669224702100368055346585284720866595803107 (pp64) r2=112760370981672421636398957393902845657658063584074686426692865943146340294215074977695455961292288627098062965262637204185951477221017989 (pp138) Version: Msieve v. 1.52 (SVN unknown) Total time: 46.71 hours. Factorization parameters were as follows: n: 170081589003046940642771731044656669630471964659134600907125022705527056934531956548599840724524411733495209092073870794840904956317698505716402629623531621881227293256163834810848376109180717549091823 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 3 c0: -20 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: 30180859 Relations: 7105804 relations Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G rational relations. Total batch smoothness checking time: 16.60 hours. Total relation processing time: 0.38 hours. Pruned matrix : 6168638 x 6168864 Matrix solve time: 29.42 hours. time per square root: 0.31 hours. Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000 total time: 46.71 hours. Intel64 Family 6 Model 158 Stepping 10, GenuineIntel Windows-10-10.0.22000-SP0 processors: 12, speed: 3.19GHz``` `GGNFS, NFS_factory, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10220-2

### c200

name 名前 Erik Branger September 23, 2022 20:01:05 UTC 2022 年 9 月 24 日 (土) 5 時 1 分 5 秒 (日本時間) `95301798106340449638719062973198090939799640247200156883001881951440687990834545323231562424435028383046170560362348140565427934820695319645013597633438879367729019394820764384183089399612409659147833<200>` ```1567431514481246997429357114427794476329<40> 60801251745841847222223335211938173734592398709437892790681831952615028979290638464305634196070738229028717492007018416626093995503563769463766191092189151314577<161>``` ```Number: 29998_220 N = 95301798106340449638719062973198090939799640247200156883001881951440687990834545323231562424435028383046170560362348140565427934820695319645013597633438879367729019394820764384183089399612409659147833 (200 digits) SNFS difficulty: 221 digits. Divisors found: r1=1567431514481246997429357114427794476329 (pp40) r2=60801251745841847222223335211938173734592398709437892790681831952615028979290638464305634196070738229028717492007018416626093995503563769463766191092189151314577 (pp161) Version: Msieve v. 1.52 (SVN unknown) Total time: 27.94 hours. Factorization parameters were as follows: n: 95301798106340449638719062973198090939799640247200156883001881951440687990834545323231562424435028383046170560362348140565427934820695319645013597633438879367729019394820764384183089399612409659147833 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 3 c0: -2 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: 30470986 Relations: 7072218 relations Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G rational relations. Total batch smoothness checking time: 15.54 hours. Total relation processing time: 0.24 hours. Pruned matrix : 6220050 x 6220276 Matrix solve time: 11.87 hours. time per square root: 0.29 hours. Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000 total time: 27.94 hours. Intel64 Family 6 Model 158 Stepping 10, GenuineIntel Windows-10-10.0.22000-SP0 processors: 12, speed: 3.19GHz``` `GGNFS, NFS_factory, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10221-2

### c139

name 名前 Erik Branger June 17, 2022 16:01:20 UTC 2022 年 6 月 18 日 (土) 1 時 1 分 20 秒 (日本時間) `1547328293374183528933056092767097090799064451869580805930387836691255348458237385160548416559612626980461206773717987970141189441543070137<139>` ```8403335413365235244839934272369771008565865733913916067652245765883<67> 184132635109769335690054195361697099633280115579715936364305872675582939<72>``` ```Number: 29998_221 N = 1547328293374183528933056092767097090799064451869580805930387836691255348458237385160548416559612626980461206773717987970141189441543070137 (139 digits) SNFS difficulty: 222 digits. Divisors found: r1=8403335413365235244839934272369771008565865733913916067652245765883 (pp67) r2=184132635109769335690054195361697099633280115579715936364305872675582939 (pp72) Version: Msieve v. 1.52 (SVN unknown) Total time: 52.23 hours. Factorization parameters were as follows: n: 1547328293374183528933056092767097090799064451869580805930387836691255348458237385160548416559612626980461206773717987970141189441543070137 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 15 c0: -1 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: 30509218 Relations: 7036994 relations Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G rational relations. Total batch smoothness checking time: 17.60 hours. Total relation processing time: 0.41 hours. Pruned matrix : 6216076 x 6216301 Matrix solve time: 34.06 hours. time per square root: 0.17 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: 52.23 hours. Intel64 Family 6 Model 158 Stepping 10, GenuineIntel Windows-10-10.0.22000-SP0 processors: 12, speed: 3.19GHz``` `GGNFS, NFS_factory, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 3, 2022 12:47:21 UTC 2022 年 6 月 3 日 (金) 21 時 47 分 21 秒 (日本時間)
4511e64480Ignacio SantosJune 4, 2022 19:38:48 UTC 2022 年 6 月 5 日 (日) 4 時 38 分 48 秒 (日本時間)

## 3×10222-2

### c180

composite cofactor 合成数の残り `329564871249593668667249395094416901996471758236926221167224129663447793520709973593996573563046681362276078528176003419289561378681404235031040496609719285053591310083000446819961<180>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62500cccJune 9, 2024 16:51:54 UTC 2024 年 6 月 10 日 (月) 1 時 51 分 54 秒 (日本時間)

## 3×10223-2

### c187

composite cofactor 合成数の残り `1065312437845142012001623027828222032828544276523660263274656518688358377519601177705460418475298247392734792137707850245458387916915241126844650402643914622341244770550225891070014982751<187>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62500cccJune 9, 2024 16:51:43 UTC 2024 年 6 月 10 日 (月) 1 時 51 分 43 秒 (日本時間)

## 3×10224-2

### c196

name 名前 anonymous June 9, 2024 16:22:09 UTC 2024 年 6 月 10 日 (月) 1 時 22 分 9 秒 (日本時間) `3595086807995642853677216127434454876417108031330086965044689954936929547837800236485495912214088332448180876508230187175572699217652635694679154591578882912809848866643330100788728880424654767411<196>` ```8802301796871586735100643013314597142441<40> 408425760779227931201536889428594912031083356063828547561335314652168393814837105639200355980214344061140075993970776282908380183471390333483516449159010171<156>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:14868623460640723330 Step 1 took 31343ms Step 2 took 10219ms ********** Factor found in step 2: 8802301796871586735100643013314597142441 Found prime factor of 40 digits: 8802301796871586735100643013314597142441 Prime cofactor 408425760779227931201536889428594912031083356063828547561335314652168393814837105639200355980214344061140075993970776282908380183471390333483516449159010171 has 156 digits``` `GMP-ECM 7.0.5`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10227-2

### c185

composite cofactor 合成数の残り `12107324285703399154864213227952060337064785831898562587120112572787138221188256533069772489803434113238442338322394131833568679311276727281362622440217179467469683003470111236687816031<185>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e65000cccJune 20, 2024 12:37:41 UTC 2024 年 6 月 20 日 (木) 21 時 37 分 41 秒 (日本時間)

## 3×10228-2

### c214

composite cofactor 合成数の残り `3943665939343001592872037694982801518029695246740728078663410870560616550020588424644352829336833834085692441217426201219795238705144384312729168441412623262875648239376090385132437729419726398526279613055111392233<214>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62500dddJune 23, 2024 15:50:18 UTC 2024 年 6 月 24 日 (月) 0 時 50 分 18 秒 (日本時間)

## 3×10229-2

### c160

composite cofactor 合成数の残り `8385148634655722534292166663774780523313103805595453552582583916657130879533353584174659005658003729032280477465313132369865034688635070396349684118742803306033<160>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62500dddJune 23, 2024 12:51:41 UTC 2024 年 6 月 23 日 (日) 21 時 51 分 41 秒 (日本時間)

## 3×10230-2

### c216

composite cofactor 合成数の残り `429081343930728822405512452341099965435825474213543349300241191537831975227832759155899246012652580224296667988947260241297660664506510302214395058182599752454203207099446446159001765480289737410566325082192933475137<216>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10235-2

### c134

name 名前 Ignacio Santos June 3, 2022 11:38:36 UTC 2022 年 6 月 3 日 (金) 20 時 38 分 36 秒 (日本時間) `12614120583853676147443009125827105604348033205183487120254793171318732145475027804544414905341024791925359897587816856547490196957707<134>` `2813013936306426969352165404237642667<37>` `4484201240899787689935165613972396758560910399332903831653340777740558422393479670429781446585121<97>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1485683562 Step 1 took 3187ms Step 2 took 1797ms ********** Factor found in step 2: 2813013936306426969352165404237642667 Found prime factor of 37 digits: 2813013936306426969352165404237642667 Composite cofactor 4484201240899787689935165613972396758560910399332903831653340777740558422393479670429781446585121 has 97 digits``` `GMP-ECM`

### c97

name 名前 Eric Jeancolas June 3, 2022 16:29:22 UTC 2022 年 6 月 4 日 (土) 1 時 29 分 22 秒 (日本時間) `4484201240899787689935165613972396758560910399332903831653340777740558422393479670429781446585121<97>` ```9775376352360291121810639895502598788084487<43> 458724153348537332112692564610548618116625577497452183<54>``` ```4484201240899787689935165613972396758560910399332903831653340777740558422393479670429781446585121=9775376352360291121810639895502598788084487*458724153348537332112692564610548618116625577497452183 cado polynomial n: 4484201240899787689935165613972396758560910399332903831653340777740558422393479670429781446585121 skew: 620994.564 c0: 80565887118680936980983936 c1: -200220729688854310200 c2: -186623193886986 c3: 573000929 c4: 660 Y0: -266118727975772803571351 Y1: 147862873728669769 # MurphyE (Bf=3.355e+07,Bg=1.678e+07,area=4.194e+11) = 8.000e-06 # f(x) = 660*x^4+573000929*x^3-186623193886986*x^2-200220729688854310200*x+80565887118680936980983936 # g(x) = 147862873728669769*x-266118727975772803571351 cado parameters (extracts) tasks.lim0 = 600000 tasks.lim1 = 850000 tasks.lpb0 = 24 tasks.lpb1 = 25 tasks.sieve.mfb0 = 48 tasks.sieve.mfb1 = 50 tasks.I = 11 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 458724153348537332112692564610548618116625577497452183 9775376352360291121810639895502598788084487 Info:Square Root: Total cpu/real time for sqrt: 29.48/9.50376 Info:Generate Free Relations: Total cpu/real time for freerel: 23.91/6.67155 Info:Filtering - Singleton removal: Total cpu/real time for purge: 21.76/24.1467 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 2732781 Info:Lattice Sieving: Average J: 1023.76 for 50445 special-q, max bucket fill -bkmult 1.0,1s:1.390730 Info:Lattice Sieving: Total time: 2020.77s Info:Generate Factor Base: Total cpu/real time for makefb: 0.63/0.182306 Info:Linear Algebra: Total cpu/real time for bwc: 227.4/61.06 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 126.71, WCT time 33.38, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4480 iterations) Info:Linear Algebra: Lingen CPU time 19.12, WCT time 4.89 Info:Linear Algebra: Mksol: CPU time 71.52, WCT time 18.98, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (2304 iterations) Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 10/9.97833 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 9.5s Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 54.35 Info:Polynomial Selection (root optimized): Rootsieve time: 53.98 Info:Filtering - Merging: Merged matrix has 140300 rows and total weight 20489626 (146.0 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 19.04/5.77771 Info:Filtering - Merging: Total cpu/real time for replay: 4.41/3.52834 Info:Quadratic Characters: Total cpu/real time for characters: 5.01/1.93315 Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 7181.67 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 7086/31.320/37.298/43.400/1.347 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 4627/30.830/35.361/38.990/1.156 Info:Polynomial Selection (size optimized): Total time: 124.33 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 31.94/35.3166 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 23.7s Info:Square Root: Total cpu/real time for sqrt: 29.48/9.50376 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 4023.52/1193.86 Info:root: Cleaning up computation data in /tmp/cado.62oed2lr 458724153348537332112692564610548618116625577497452183 9775376352360291121810639895502598788084487``` `cado-nfs-3.0.0` ```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)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10238-2

### c231

composite cofactor 合成数の残り `124720276324922827042485554710515632950787698759325096013618190342548146828392058720767240559812115389170872657047501721077453145772551772779412227760476904394849029306662439924217631993152158396214317227536105127286312863457230927<231>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10240-2

### c184

composite cofactor 合成数の残り `8197057166018589793734433110769978863923524362362328504469181349367189344907516058741109932748368804573047746901350538782950604126287034395415869215583875500851485845343037830614110689<184>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10243-2

### c239

composite cofactor 合成数の残り `68141552718847953482033343933130422931903874982964611820288011629491664016717394267024031254258847044927997092627083995820651433243992186435288238768000726843229001044837141689001953391177940307999818289192749738790714577749511652205514923<239>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10244-2

### c217

composite cofactor 合成数の残り `3157555871700679641034765808282792255271657030833948487982583905859451919775715780645368421325955054472262575474842525133760180001427616447640380089338504188581068150558706216774919630965790522684302440700694304144539<217>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10245-2

### c218

composite cofactor 合成数の残り `48557680157763961890590829283188559829959430430171650789541196668968228449471743787439950305201326940050165740896080034871560453725242763474232385738733844584875816200299668344834459675483695661423732130387118618411357<218>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10248-2

### c246

composite cofactor 合成数の残り `213980028530670470756062767475035663338088445078459343794579172610556348074179743223965763195435092724679029957203994293865905848787446504992867332382310984308131241084165477888730385164051355206847360912981455064194008559201141226818830242510699<246>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10249-2

### c218

composite cofactor 合成数の残り `96539373900298333870542276545077313779295372004587873866933396766677734589619540843767055857119810926766284091352357276343430759179288029681938086543618049786776622909726339027237495651099418434368281535993618633644997<218>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10251-2

### c204

composite cofactor 合成数の残り `256375208949432307192765587082984547407220913561179991296867466578908342994185325656781392166821127287242743805776212682193539386022544768030820754242079613704603202986335441228688343676744030105202217677<204>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10252-2

### c180

composite cofactor 合成数の残り `410014659721629744202746384665203043248654751119672616791637428490008817627070031860925129803491046533163821666125197491360064435776281325624942116097057245945475080603120540586333<180>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10253-2

### c247

composite cofactor 合成数の残り `1794571993981244808452769078423872880176786876271080388570299187453692565171975628755216671238837313554438161980221663139933904717080341432874812212995596479241168821489018595235363500726622200363006022942526199853826129183581006202160449332114141<247>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10256-2

### c247

composite cofactor 合成数の残り `3132109857402682628581160734768575498953416035918746855357788030384887551228895841431738331396608167533258787211620258534917456749539082732925604891154036398761066049245905619704776641824012289276532275233513098391235224549200434379620637889381551<247>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10257-2

### c251

composite cofactor 合成数の残り `18930805759457862108768080339310714217653531674330067180381425446763860788912302789908567994342970417587071925577197112471576972719320641532193791377219905161711359985299598300922321477137960013847253386184777537160225165527810426406303302049966473543<251>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10259-2

### c207

composite cofactor 合成数の残り `777125824903310591398323974605843589858104275574922256211990151684148193329422410008869035757118168716079215303164040914411330115901706479130469587377540870627571031236337113785730565667896386703099793952211<207>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10260-2

### c220

composite cofactor 合成数の残り `1023304792284528077392075615976989278856637856173463896221591795107257116910534342667508284864854358067702038774911833371818683988622241353024025388422233112593165864095923803858922049078892729140241653018005466668902383<220>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10262-2

### c199

composite cofactor 合成数の残り `5174784734828930595852878216758001912318390374536780154504142054117625181155801171350181544320685064960317975014125697647545659400071411151589282441965073991403217685057152710316919703154862741954313<199>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10263-2

### c216

composite cofactor 合成数の残り `703245046101606227542116820063601451835583620691779091471484390436315944536099508637797609976464659210197257292424846960267232018530351132302867241039553678360824277493828726343669887114640422270351299459216396787069<216>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10266-2

### c221

composite cofactor 合成数の残り `46259103781004979352895750790963707007040599109434672439656440876536380705624805318440265590753068658937901597628162731444808323493332649375509554154469418605097250015748246665786029751660406355168217322293078158413865417<221>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10268-2

### c259

composite cofactor 合成数の残り `2087258407403915341632229253429386401161066822056579958473195260481871046622734403294711903704397940280434741578337883326831131453524746753379232712518761842270169937857167249341572352488947871762538731387909301836660367968770898348670005545496320565364140883<259>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10269-2

### c244

composite cofactor 合成数の残り `5244719174672748676289234793260955372048408845641100469739363742130709241748566166121204766270711743272816326450703010426528039565119460587033640600696345099841639612047648848599866863449793661491506164095093552589838308772759175951026405172397<244>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10270-2

### c252

composite cofactor 合成数の残り `421219589924178157987065894010713707487900529466095823847463974153250538169351096796486465464039476263075840342871818020970874786484097493830891175811072774232336616724789348790070187299847359490005989757579855313553804117154344112049366030595525338989<252>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10271-2

### c197

composite cofactor 合成数の残り `53467781613997208450932093900272047512632004305846457223523662116728103866856741754035621749458916793810762491762449770494712607450891485682740254752685581330474863333928991751418708642101385622017<197>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10272-2

### c195

composite cofactor 合成数の残り `147540786039738535177426467330476310295029451200680216451516796724970772113876284042607919902376006639673298477471289602336016240104887930205049704425175966730675914184342436578459090537898431997<195>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10273-2

### c200

composite cofactor 合成数の残り `18648049751096134091543987852268260510131961442743971907873011971100231805560071970922522132330471125356909020071111681335750075126981142026902371069421873610091081381790799539681262840283127653491197<200>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10276-2

### c245

composite cofactor 合成数の残り `77646790124554184092625238888370242341236122981383411104516119163103495233850703892709999005494703809567079579332808314677769016029360819001365477281323273476035452491520170210994856816402639007636849186402188733718894628305582615250877711048869<245>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10277-2

### c261

composite cofactor 合成数の残り `342580029449791651648798576933736902237465249222874439272227776379053524829467447231457942566025569828582632051430477652842430691999469770013368792915126514822890061105497209059691522670576982057428808705545223687092050550978164296100256328220634103620763072399<261>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10278-2

### c272

composite cofactor 合成数の残り `75573489424497801567192641358952410366062868074382451231167716214493685331135320378693717273530183799764513006953264850316627729525504289299348103080224281963681396275637676508182341699990376975679947279933777470333626726413387994798528634543231310802021137401168769205113<272>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10281-2

### c177

name 名前 Bob Backstrom July 31, 2023 10:38:01 UTC 2023 年 7 月 31 日 (月) 19 時 38 分 1 秒 (日本時間) `101987335770609476930206464832293553809235099315176344041300390721794688913735049291309692083374625677604363950214291101927774742393165590932718152817928407101862866312850017557<177>` ```8831134763052551225807420065813686259604793353<46> 11548610513487029129073008866855376958359876915984675356660234927955169120298393775913775822714242153474406245990577766429567895469<131>``` ```GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM] Input number is 101987335770609476930206464832293553809235099315176344041300390721794688913735049291309692083374625677604363950214291101927774742393165590932718152817928407101862866312850017557 (177 digits) Using B1=42840000, B2=240490660426, polynomial Dickson(12), sigma=1:349495404 Step 1 took 139973ms Step 2 took 37111ms ********** Factor found in step 2: 8831134763052551225807420065813686259604793353 Found prime factor of 46 digits: 8831134763052551225807420065813686259604793353 Prime cofactor 11548610513487029129073008866855376958359876915984675356660234927955169120298393775913775822714242153474406245990577766429567895469 has 131 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 4, 2022 11:00:59 UTC 2022 年 6 月 4 日 (土) 20 時 0 分 59 秒 (日本時間)
4511e64480Ignacio SantosJune 7, 2022 19:19:23 UTC 2022 年 6 月 8 日 (水) 4 時 19 分 23 秒 (日本時間)

## 3×10282-2

### c234

composite cofactor 合成数の残り `911732393520720225636971733692904609559909397483885369709295329284145823349787017601251661570004363398597557886066995261025935274946872594159339084538693966226973352048292458364146434535438079134532198983279868325005583542159516030041<234>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10283-2

### c267

composite cofactor 合成数の残り `217656465549885326995822024544523140949407819810461540448542757593711005907861136635266368116193198188128300869363925717185116565808080378838047090362180970179410727495210034773058075224705870928390107652885635316501637124401058029236861694563107225078586743990254307<267>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10286-2

### c249

composite cofactor 合成数の残り `416105430367640135062193694478124174205367562806143472795779413951774803831579124425086613628673603357698095954919704133292471868600909008311195818218490963464319863339373615135191527157005824697674282091470764573460255417967742471950933769831199781<249>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10287-2

### c286

composite cofactor 合成数の残り `8823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647<286>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10288-2

### c270

composite cofactor 合成数の残り `120456227640830288433656753771604638172680457631977670306550193532366484210338341349180682826100772506359228632034623376708875834368929465329165473453852902973892813282445487265915125319327138330224594616160262183114010825660157865228042320078670235119596015202308639337<270>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10289-2

### c239

composite cofactor 合成数の残り `81440209895930992596234330143083077452937017372115862968913587145581704137717903882711046600393861960274171009203572577942484681434366987661721158965965544445430322321977072868075035642395957547418735055059066018647704877687800749408351827<239>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10290-2

### c279

composite cofactor 合成数の残り `243224859194678400131858181446770223357550764928423180203784652276921564626090114732042410669665770021783516923667573064077540573104648969674395564798453165662335583203300021441052738408540408430122310917056512772339953197963382500551790370184245136465699138134308782382373650707<279>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10291-2

### c259

composite cofactor 合成数の残り `3071339672702483498649824283083462128260058224661618452711304025188682620848842359957447633189572838259312977580512934618884729580261057839692461286381785733085316912529016410450980285979478786648852108381377859106457420759218919322028507520454674019654903723<259>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10292-2

### c234

composite cofactor 合成数の残り `106369308348236547840580682571267305022318798218268920673157333869471048462462032939272240373825694358422113164247043537635069279726593112542377678688228229484614976716058482236959185654977347192713752453877141613490651986245069599531<234>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10293-2

### c278

composite cofactor 合成数の残り `11536733567310303274994121190462162502959239426869675681891885161319912440752315095457482970193285072311408410033209984073833146424299359761317297184336116123804714378341606395659043008363765011561184503138143441000268091369540933546183430724787447711756008006688817844564812139<278>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10296-2

### c273

composite cofactor 合成数の残り `590427337304092417781648458580373419615583566443764853046433133060738965627883961244536234997682995129712852639984989560374513950548128193296208326236634826519935319881261679015865189997517122503282806240891240953198844886838586170668373879052993062172061740347947362246467<273>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10297-2

### c276

composite cofactor 合成数の残り `856096931331608455652074059481543892097818285958828885257070089668317994852231494461984993365759339868245027213973734642808775715586898675653944302771615328611139803227541619735786113189063866378556593476898311884553241347329611687757205154814874723195169524089135762264146209<276>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

## 3×10298-2

### c281

composite cofactor 合成数の残り `12011434258069082637048762735575815562025729500051415819699881211298300339002751602424629552315370369164543314147631037934989083260397934596426624347754631192638237903203938835107696789018573630749518640663441367096082994040164937953587998589850795176417041115786223299510025319853<281>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)