## 19×10115+629

### c104

name 名前 Eric Jeancolas May 30, 2022 18:09:46 UTC 2022 年 5 月 31 日 (火) 3 時 9 分 46 秒 (日本時間) `71041348595808575898474102962574044627337742000448615914844872798687364939327469666188829355033081745081<104>` ```91447285052889824018050603402163978856308255657<47> 776855743226502704282718375683456183626394666774038361233<57>``` ```71041348595808575898474102962574044627337742000448615914844872798687364939327469666188829355033081745081=91447285052889824018050603402163978856308255657*776855743226502704282718375683456183626394666774038361233 cado polynomial n: 71041348595808575898474102962574044627337742000448615914844872798687364939327469666188829355033081745081 skew: 1.20 type: snfs c0: 155 c4: 76 Y0: 50000000000000000000000000000 Y1: -1 # f(x) = 76*x^4+155 # g(x) = -x+50000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 620000 tasks.lim1 = 620000 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: 776855743226502704282718375683456183626394666774038361233 91447285052889824018050603402163978856308255657 Info:Square Root: Total cpu/real time for sqrt: 19.26/6.5684 Info:Filtering - Singleton removal: Total cpu/real time for purge: 31.06/26.4255 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 3478243 Info:Lattice Sieving: Average J: 1892.85 for 14738 special-q, max bucket fill -bkmult 1.0,1s:1.394560 Info:Lattice Sieving: Total time: 2714.23s Info:Generate Free Relations: Total cpu/real time for freerel: 18.72/13.9562 Info:Linear Algebra: Total cpu/real time for bwc: 34.44/10.16 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 17.33, WCT time 4.98, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (1536 iterations) Info:Linear Algebra: Lingen CPU time 4.86, WCT time 1.26 Info:Linear Algebra: Mksol: CPU time 9.59, WCT time 2.9, 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: 12.01/12.9326 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 12.8s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 24.36/24.5331 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 18.799999999999997s Info:Filtering - Merging: Merged matrix has 47200 rows and total weight 8030070 (170.1 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 9.75/2.73675 Info:Filtering - Merging: Total cpu/real time for replay: 1.48/1.20848 Info:Generate Factor Base: Total cpu/real time for makefb: 0.33/0.471844 Info:Quadratic Characters: Total cpu/real time for characters: 1.49/0.584694 Info:Square Root: Total cpu/real time for sqrt: 19.26/6.5684 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2891.67/1588.88 Info:root: Cleaning up computation data in /tmp/cado.b8oqw49w 776855743226502704282718375683456183626394666774038361233 91447285052889824018050603402163978856308255657``` `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)

## 19×10120+629

### c115

name 名前 Eric Jeancolas May 30, 2022 20:23:24 UTC 2022 年 5 月 31 日 (火) 5 時 23 分 24 秒 (日本時間) `3524827960567935122387592308751183136332553789802264572102582140550103203252340207489925485136913593851512726298593<115>` ```97811986043410097245548119080254756007393<41> 36036769144055366276161502377431802627380503986540499642155926492604838401<74>``` ```3524827960567935122387592308751183136332553789802264572102582140550103203252340207489925485136913593851512726298593=97811986043410097245548119080254756007393*36036769144055366276161502377431802627380503986540499642155926492604838401 cado polynomial n: 3524827960567935122387592308751183136332553789802264572102582140550103203252340207489925485136913593851512726298593 skew: 1.34 type: snfs c0: 62 c4: 19 Y0: 1000000000000000000000000000000 Y1: -1 # f(x) = 19*x^4+62 # g(x) = -x+1000000000000000000000000000000 cado parameters (extracts) asks.lim0 = 740000 tasks.lim1 = 740000 tasks.lpb0 = 25 tasks.lpb1 = 25 tasks.sieve.mfb0 = 46 tasks.sieve.mfb1 = 46 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: 97811986043410097245548119080254756007393 36036769144055366276161502377431802627380503986540499642155926492604838401 Info:Square Root: Total cpu/real time for sqrt: 9.66/8.3841 Info:Filtering - Singleton removal: Total cpu/real time for purge: 24.38/34.9025 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 3232815 Info:Lattice Sieving: Average J: 1895.17 for 25021 special-q, max bucket fill -bkmult 1.0,1s:1.369410 Info:Lattice Sieving: Total time: 4069.73s Info:Linear Algebra: Total cpu/real time for bwc: 117.1/114.2 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 36.95, WCT time 40.02, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (2304 iterations) Info:Linear Algebra: Lingen CPU time 54.74, WCT time 47.06 Info:Linear Algebra: Mksol: CPU time 20.95, WCT time 22.72, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (1152 iterations) Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 11.45/19.7962 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 19.6s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 23.5/39.7579 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 32.7s Info:Filtering - Merging: Merged matrix has 72609 rows and total weight 12375430 (170.4 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 23.29/19.9974 Info:Filtering - Merging: Total cpu/real time for replay: 2.36/2.71067 Info:Generate Factor Base: Total cpu/real time for makefb: 0.38/0.203264 Info:Quadratic Characters: Total cpu/real time for characters: 2.34/2.10665 Info:Square Root: Total cpu/real time for sqrt: 9.66/8.3841 Info:Generate Free Relations: Total cpu/real time for freerel: 18.21/6.21294 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3935.47/2478.27 Info:root: Cleaning up computation data in /tmp/cado.4g493uiu 97811986043410097245548119080254756007393 36036769144055366276161502377431802627380503986540499642155926492604838401``` `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)

## 19×10122+629

### c110

name 名前 Eric Jeancolas May 30, 2022 20:35:31 UTC 2022 年 5 月 31 日 (火) 5 時 35 分 31 秒 (日本時間) `32080154357458909149178849613439381790224832112356383255684805044200373382448262137336466952140065313676394893<110>` ```5105130331674639859409993872997022778056933291805409<52> 6283905066716608438027242350534559871909933272280436037677<58>``` ```32080154357458909149178849613439381790224832112356383255684805044200373382448262137336466952140065313676394893=5105130331674639859409993872997022778056933291805409*6283905066716608438027242350534559871909933272280436037677 cado polynomial n: 32080154357458909149178849613439381790224832112356383255684805044200373382448262137336466952140065313676394893 skew: 0.43 type: snfs c0: 31 c4: 950 Y0: 1000000000000000000000000000000 Y1: -1 # f(x) = 950*x^4+31 # g(x) = -x+1000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 780000 tasks.lim1 = 780000 tasks.lpb0 = 25 tasks.lpb1 = 25 tasks.sieve.mfb0 = 46 tasks.sieve.mfb1 = 46 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: 6283905066716608438027242350534559871909933272280436037677 5105130331674639859409993872997022778056933291805409 Info:Square Root: Total cpu/real time for sqrt: 11.81/3.84364 Info:Filtering - Singleton removal: Total cpu/real time for purge: 23.3/21.0128 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 3240623 Info:Lattice Sieving: Average J: 1890.14 for 32349 special-q, max bucket fill -bkmult 1.0,1s:1.362410 Info:Lattice Sieving: Total time: 4884.09s Info:Linear Algebra: Total cpu/real time for bwc: 91.24/25.22 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 49.6, WCT time 13.34, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (2560 iterations) Info:Linear Algebra: Lingen CPU time 8.96, WCT time 2.31 Info:Linear Algebra: Mksol: CPU time 28.07, WCT time 7.67, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (1280 iterations) Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 11.24/11.5543 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: 22.95/21.1825 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 17.6s Info:Generate Free Relations: Total cpu/real time for freerel: 18.72/13.7489 Info:Filtering - Merging: Merged matrix has 81424 rows and total weight 13843147 (170.0 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 16.56/4.6024 Info:Filtering - Merging: Total cpu/real time for replay: 2.47/2.0509 Info:Generate Factor Base: Total cpu/real time for makefb: 0.39/0.57132 Info:Quadratic Characters: Total cpu/real time for characters: 2.52/0.974356 Info:Square Root: Total cpu/real time for sqrt: 11.81/3.84364 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 4719.47/2651.74 Info:root: Cleaning up computation data in /tmp/cado.mil_hw_s 6283905066716608438027242350534559871909933272280436037677 5105130331674639859409993872997022778056933291805409``` `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)

## 19×10123+629

### c112

name 名前 ebina May 31, 2022 11:33:06 UTC 2022 年 5 月 31 日 (火) 20 時 33 分 6 秒 (日本時間) `5974184400350302586653439948025667498211020656926070893310610566156809864398552937791886720730502850699756992973<112>` ```3016720681129177460417468740095077623810914325531939<52> 1980357159919137067107054054705577298021955456340838389654607<61>``` ```Tue May 31 20:24:07 2022 Msieve v. 1.53 (SVN unknown) Tue May 31 20:24:07 2022 random seeds: da8ac780 26ea4b28 Tue May 31 20:24:07 2022 factoring 5974184400350302586653439948025667498211020656926070893310610566156809864398552937791886720730502850699756992973 (112 digits) Tue May 31 20:24:08 2022 searching for 15-digit factors Tue May 31 20:24:09 2022 commencing number field sieve (112-digit input) Tue May 31 20:24:09 2022 R0: -5000000000000000000000000000000 Tue May 31 20:24:09 2022 R1: 1 Tue May 31 20:24:09 2022 A0: 155 Tue May 31 20:24:09 2022 A1: 0 Tue May 31 20:24:09 2022 A2: 0 Tue May 31 20:24:09 2022 A3: 0 Tue May 31 20:24:09 2022 A4: 76 Tue May 31 20:24:09 2022 skew 1.20, size 3.939e-13, alpha -0.383, combined = 2.358e-08 rroots = 0 Tue May 31 20:24:09 2022 Tue May 31 20:24:09 2022 commencing square root phase Tue May 31 20:24:09 2022 reading relations for dependency 1 Tue May 31 20:24:09 2022 read 45238 cycles Tue May 31 20:24:09 2022 cycles contain 137102 unique relations Tue May 31 20:24:11 2022 read 137102 relations Tue May 31 20:24:11 2022 multiplying 137102 relations Tue May 31 20:24:13 2022 multiply complete, coefficients have about 3.54 million bits Tue May 31 20:24:13 2022 initial square root is modulo 142467097 Tue May 31 20:24:17 2022 GCD is 1, no factor found Tue May 31 20:24:17 2022 reading relations for dependency 2 Tue May 31 20:24:17 2022 read 45348 cycles Tue May 31 20:24:17 2022 cycles contain 137168 unique relations Tue May 31 20:24:19 2022 read 137168 relations Tue May 31 20:24:19 2022 multiplying 137168 relations Tue May 31 20:24:21 2022 multiply complete, coefficients have about 3.54 million bits Tue May 31 20:24:21 2022 initial square root is modulo 143849221 Tue May 31 20:24:25 2022 sqrtTime: 16 Tue May 31 20:24:25 2022 p52 factor: 3016720681129177460417468740095077623810914325531939 Tue May 31 20:24:25 2022 p61 factor: 1980357159919137067107054054705577298021955456340838389654607 Tue May 31 20:24:25 2022 elapsed time 00:00:18```

### 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)

## 19×10124+629

### c119

name 名前 Dmitry Domanov May 31, 2022 13:15:33 UTC 2022 年 5 月 31 日 (火) 22 時 15 分 33 秒 (日本時間) `10529242977355145048080402629384723132447569080423577036541238999296314066702865095681447617958277819285161935877796941<119>` ```1182430546945879636310757782992896048040710131<46> 8904745403060931838269032840775919679700873673169838674398342258243320511<73>``` ```N=10529242977355145048080402629384723132447569080423577036541238999296314066702865095681447617958277819285161935877796941 ( 119 digits) SNFS difficulty: 125 digits. Divisors found: p46 factor: 1182430546945879636310757782992896048040710131 p73 factor: 8904745403060931838269032840775919679700873673169838674398342258243320511 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: 10529242977355145048080402629384723132447569080423577036541238999296314066702865095681447617958277819285161935877796941 m: 10000000000000000000000000000000 deg: 4 c4: 19 c0: 62 skew: 1.34 # Murphy_E = 1.64e-08 type: snfs lss: 1 rlim: 860000 alim: 860000 lpbr: 26 lpba: 26 mfbr: 46 mfba: 46 rlambda: 2.3 alambda: 2.3 Factor base limits: 860000/860000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 46/46 Sieved rational special-q in [430000, 880001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 116076 x 116301 Total sieving time: 1.80 hours. Total relation processing time: 0.02 hours. Matrix solve time: 0.02 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,125.000,4,0,0,0,0,0,0,0,0,860000,860000,26,26,46,46,2.3,2.3,75000 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)

## 19×10131+629

### c120

name 名前 Eric Jeancolas June 1, 2022 08:49:50 UTC 2022 年 6 月 1 日 (水) 17 時 49 分 50 秒 (日本時間) `753708940401925050651706355463430301091281867719584460450924510101618331394897422857099287366599066363995727906896202559<120>` ```1855560982166275188682956807419748842269663<43> 406189259014277901521490864782106227356510187739683198310815570079043956575393<78>``` ```753708940401925050651706355463430301091281867719584460450924510101618331394897422857099287366599066363995727906896202559=1855560982166275188682956807419748842269663*406189259014277901521490864782106227356510187739683198310815570079043956575393 cado polynomial n: 753708940401925050651706355463430301091281867719584460450924510101618331394897422857099287366599066363995727906896202559 skew: 1.20 type: snfs c0: 155 c4: 76 Y0: 500000000000000000000000000000000 Y1: -1 # f(x) = 76*x^4+155 # g(x) = -x+500000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 1140000 tasks.lim1 = 1140000 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: 1855560982166275188682956807419748842269663 406189259014277901521490864782106227356510187739683198310815570079043956575393 Info:Square Root: Total cpu/real time for sqrt: 14.9/12.1163 Info:Filtering - Singleton removal: Total cpu/real time for purge: 53.93/60.5863 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 6089533 Info:Lattice Sieving: Average J: 1891.81 for 63109 special-q, max bucket fill -bkmult 1.0,1s:1.359000 Info:Lattice Sieving: Total time: 11716.8s Info:Linear Algebra: Total cpu/real time for bwc: 255.5/212.73 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 89.3, WCT time 65.59, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3392 iterations) Info:Linear Algebra: Lingen CPU time 112.01, WCT time 95.37 Info:Linear Algebra: Mksol: CPU time 48.12, WCT time 48.43, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (1664 iterations) Info:Generate Free Relations: Total cpu/real time for freerel: 36.3/24.98 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.54/39.8143 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 39.6s Info:Filtering - Merging: Merged matrix has 106784 rows and total weight 18177244 (170.2 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 22.71/8.81206 Info:Filtering - Merging: Total cpu/real time for replay: 3.24/2.95062 Info:Generate Factor Base: Total cpu/real time for makefb: 0.58/0.791256 Info:Quadratic Characters: Total cpu/real time for characters: 3.38/2.80678 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 47.92/78.2372 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 71.1s Info:Square Root: Total cpu/real time for sqrt: 14.9/12.1163 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 11454.4/6520.2 Info:root: Cleaning up computation data in /tmp/cado.hgqbfi_m 1855560982166275188682956807419748842269663 406189259014277901521490864782106227356510187739683198310815570079043956575393``` `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)

## 19×10134+629

### c111

name 名前 Eric Jeancolas June 1, 2022 13:19:25 UTC 2022 年 6 月 1 日 (水) 22 時 19 分 25 秒 (日本時間) `270900816777509070568907363460487832968035251800666457265809192058724084782636255587435442760048725656392969213<111>` ```87782462243162741679627065476541374287333854977<47> 3086047142618275919593919690903751240668115633386634731911305469<64>``` ```270900816777509070568907363460487832968035251800666457265809192058724084782636255587435442760048725656392969213=87782462243162741679627065476541374287333854977*3086047142618275919593919690903751240668115633386634731911305469= cado polynomial n: 270900816777509070568907363460487832968035251800666457265809192058724084782636255587435442760048725656392969213 skew: 0.43 type: snfs c0: 31 c4: 950 Y0: 1000000000000000000000000000000000 Y1: -1 # f(x) = 950*x^4+31 # g(x) = -x+1000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 1240000 tasks.lim1 = 1240000 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: 3086047142618275919593919690903751240668115633386634731911305469 87782462243162741679627065476541374287333854977 Info:Square Root: Total cpu/real time for sqrt: 21.3/7.14722 Info:Filtering - Singleton removal: Total cpu/real time for purge: 46.49/39.9018 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 6075161 Info:Lattice Sieving: Average J: 1889.57 for 121594 special-q, max bucket fill -bkmult 1.0,1s:1.357970 Info:Lattice Sieving: Total time: 17212s Info:Linear Algebra: Total cpu/real time for bwc: 278.4/73.45 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 159.5, WCT time 41.23, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4608 iterations) Info:Linear Algebra: Lingen CPU time 19.3, WCT time 4.95 Info:Linear Algebra: Mksol: CPU time 87.89, WCT time 22.86, 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: 22.21/21.5207 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 21.5s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 46.18/47.1371 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 35.7s Info:Filtering - Merging: Merged matrix has 144402 rows and total weight 24571475 (170.2 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 28.59/7.93846 Info:Filtering - Merging: Total cpu/real time for replay: 4.3/3.61816 Info:Generate Factor Base: Total cpu/real time for makefb: 0.64/0.353673 Info:Quadratic Characters: Total cpu/real time for characters: 4.24/1.67779 Info:Square Root: Total cpu/real time for sqrt: 21.3/7.14722 Info:Generate Free Relations: Total cpu/real time for freerel: 36.24/10.9998 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 18832.9/8952.92 Info:root: Cleaning up computation data in /tmp/cado.qa4qiit8 3086047142618275919593919690903751240668115633386634731911305469 87782462243162741679627065476541374287333854977``` `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)

## 19×10135+629

### c119

name 名前 Taiyo Kodama June 1, 2022 03:06:27 UTC 2022 年 6 月 1 日 (水) 12 時 6 分 27 秒 (日本時間) `14777191096077331232512379900782809694516249726788194817812625471896592838688854514015598022078923027636255753310915813<119>` ```1965895567418648291955070600548380027466329906429409545687<58> 7516773190287399928495231729087575290711709829260411884014499<61>``` ```Wed Jun 1 12:05:04 2022 Msieve v. 1.53 (SVN unknown) Wed Jun 1 12:05:04 2022 random seeds: dd53cd74 2d52d8de Wed Jun 1 12:05:04 2022 factoring 14777191096077331232512379900782809694516249726788194817812625471896592838688854514015598022078923027636255753310915813 (119 digits) Wed Jun 1 12:05:04 2022 searching for 15-digit factors Wed Jun 1 12:05:04 2022 commencing number field sieve (119-digit input) Wed Jun 1 12:05:04 2022 R0: -5000000000000000000000000000000000 Wed Jun 1 12:05:04 2022 R1: 1 Wed Jun 1 12:05:04 2022 A0: 155 Wed Jun 1 12:05:04 2022 A1: 0 Wed Jun 1 12:05:04 2022 A2: 0 Wed Jun 1 12:05:04 2022 A3: 0 Wed Jun 1 12:05:04 2022 A4: 76 Wed Jun 1 12:05:04 2022 skew 1.20, size 2.485e-14, alpha -0.383, combined = 6.144e-09 rroots = 0 Wed Jun 1 12:05:04 2022 Wed Jun 1 12:05:04 2022 commencing square root phase Wed Jun 1 12:05:04 2022 reading relations for dependency 1 Wed Jun 1 12:05:04 2022 read 92515 cycles Wed Jun 1 12:05:04 2022 cycles contain 284250 unique relations Wed Jun 1 12:05:07 2022 read 284250 relations Wed Jun 1 12:05:07 2022 multiplying 284250 relations Wed Jun 1 12:05:10 2022 multiply complete, coefficients have about 7.50 million bits Wed Jun 1 12:05:10 2022 initial square root is modulo 421686869 Wed Jun 1 12:05:13 2022 GCD is 1, no factor found Wed Jun 1 12:05:13 2022 reading relations for dependency 2 Wed Jun 1 12:05:13 2022 read 92677 cycles Wed Jun 1 12:05:13 2022 cycles contain 284984 unique relations Wed Jun 1 12:05:15 2022 read 284984 relations Wed Jun 1 12:05:16 2022 multiplying 284984 relations Wed Jun 1 12:05:19 2022 multiply complete, coefficients have about 7.52 million bits Wed Jun 1 12:05:19 2022 initial square root is modulo 442957937 Wed Jun 1 12:05:22 2022 sqrtTime: 18 Wed Jun 1 12:05:22 2022 p58 factor: 1965895567418648291955070600548380027466329906429409545687 Wed Jun 1 12:05:22 2022 p61 factor: 7516773190287399928495231729087575290711709829260411884014499 Wed Jun 1 12:05:22 2022 elapsed time 00:00:18 Wed Jun 01 12:05:22 2022 -> Computing time scale for this machine... Wed Jun 01 12:05:22 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)

## 19×10136+629

### c107

name 名前 Eric Jeancolas June 1, 2022 16:06:01 UTC 2022 年 6 月 2 日 (木) 1 時 6 分 1 秒 (日本時間) `10024667312554156419086524429830233581198601851057596778524430018131251807514332312336361354977838264914809<107>` ```1535851739888716004769024048512919011363<40> 6527106134137998806440790546687718459401123766541366208055686187443<67>``` ```10024667312554156419086524429830233581198601851057596778524430018131251807514332312336361354977838264914809=1535851739888716004769024048512919011363*6527106134137998806440790546687718459401123766541366208055686187443 cado polynomial n: 10024667312554156419086524429830233581198601851057596778524430018131251807514332312336361354977838264914809 skew: 1.34 type: snfs c0: 62 c4: 19 Y0: 10000000000000000000000000000000000 Y1: -1 # f(x) = 19*x^4+62 # g(x) = -x+10000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 1360000 tasks.lim1 = 1360000 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: 1535851739888716004769024048512919011363 6527106134137998806440790546687718459401123766541366208055686187443 Info:Square Root: Total cpu/real time for sqrt: 24.55/7.86698 Info:Filtering - Singleton removal: Total cpu/real time for purge: 41.66/37.5228 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 6088189 Info:Lattice Sieving: Average J: 1891.06 for 114448 special-q, max bucket fill -bkmult 1.0,1s:1.320850 Info:Lattice Sieving: Total time: 9602.51s Info:Linear Algebra: Total cpu/real time for bwc: 416.8/108.95 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 245.86, WCT time 63.11, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (5504 iterations) Info:Linear Algebra: Lingen CPU time 23.34, WCT time 5.96 Info:Linear Algebra: Mksol: CPU time 133.25, WCT time 34.38, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (2688 iterations) Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.15/23.5392 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 23.4s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 47.32/47.264 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 35.9s Info:Filtering - Merging: Merged matrix has 171655 rows and total weight 29187506 (170.0 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 34.22/9.59718 Info:Filtering - Merging: Total cpu/real time for replay: 5.24/4.34346 Info:Generate Factor Base: Total cpu/real time for makefb: 0.7/0.380284 Info:Quadratic Characters: Total cpu/real time for characters: 5.26/2.04143 Info:Square Root: Total cpu/real time for sqrt: 24.55/7.86698 Info:Generate Free Relations: Total cpu/real time for freerel: 36.03/11.0772 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 17901/5135.6 Info:root: Cleaning up computation data in /tmp/cado.k62yhg1h 1535851739888716004769024048512919011363 6527106134137998806440790546687718459401123766541366208055686187443``` `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)

## 19×10137+629

### c121

name 名前 Eric Jeancolas June 1, 2022 20:15:21 UTC 2022 年 6 月 2 日 (木) 5 時 15 分 21 秒 (日本時間) `3666251875134172133629442432137147256715729636321329459778618900136664390307907667271340520155879336083440788884473430833<121>` ```2469703497647810878792899277400435598280857163988341276183<58> 1484490700452898499665186186407780987382347853531564259499138551<64>``` ```3666251875134172133629442432137147256715729636321329459778618900136664390307907667271340520155879336083440788884473430833=2469703497647810878792899277400435598280857163988341276183*1484490700452898499665186186407780987382347853531564259499138551 cado polynomial n: 3666251875134172133629442432137147256715729636321329459778618900136664390307907667271340520155879336083440788884473430833 skew: 0.76 type: snfs c0: 31 c4: 95 Y0: 10000000000000000000000000000000000 Y1: -1 # f(x) = 95*x^4+31 # g(x) = -x+10000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 1400000 tasks.lim1 = 1400000 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: 1484490700452898499665186186407780987382347853531564259499138551 2469703497647810878792899277400435598280857163988341276183 Info:Square Root: Total cpu/real time for sqrt: 22.2/17.7061 Info:Filtering - Singleton removal: Total cpu/real time for purge: 46.45/67.0367 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 6093281 Info:Lattice Sieving: Average J: 1891.06 for 82706 special-q, max bucket fill -bkmult 1.0,1s:1.332830 Info:Lattice Sieving: Total time: 14432.9s Info:Linear Algebra: Total cpu/real time for bwc: 414.79/387.4 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 161.16, WCT time 160.03, iteration CPU time 0.02, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (4608 iterations) Info:Linear Algebra: Lingen CPU time 154.3, WCT time 127.06 Info:Linear Algebra: Mksol: CPU time 86.54, WCT time 88.42, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (2304 iterations) Info:Generate Free Relations: Total cpu/real time for freerel: 36.84/25.5512 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.6/29.3523 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 29.1s Info:Filtering - Merging: Merged matrix has 144888 rows and total weight 24694389 (170.4 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 33.68/26.3098 Info:Filtering - Merging: Total cpu/real time for replay: 4.81/5.00571 Info:Generate Factor Base: Total cpu/real time for makefb: 0.73/0.910603 Info:Quadratic Characters: Total cpu/real time for characters: 4.6/3.76743 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 50.18/72.9885 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 60.0s Info:Square Root: Total cpu/real time for sqrt: 22.2/17.7061 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 14153/8133.64 Info:root: Cleaning up computation data in /tmp/cado.5n8jqxga 1484490700452898499665186186407780987382347853531564259499138551 2469703497647810878792899277400435598280857163988341276183``` `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)

## 19×10139+629

### c133

name 名前 Bob Backstrom May 30, 2022 06:07:56 UTC 2022 年 5 月 30 日 (月) 15 時 7 分 56 秒 (日本時間) `2187961508736265445885481956445701209535062555316561065280226855219201384376218277120341406750082353719630144222822368548481691748421<133>` ```92373023290259819443821815297289650027725498884424147<53> 23686152415528580486483724070000683820102701466355797400523174376223664936478343<80>``` ```Number: n N=2187961508736265445885481956445701209535062555316561065280226855219201384376218277120341406750082353719630144222822368548481691748421 ( 133 digits) SNFS difficulty: 140 digits. Divisors found: Mon May 30 16:02:24 2022 p53 factor: 92373023290259819443821815297289650027725498884424147 Mon May 30 16:02:24 2022 p80 factor: 23686152415528580486483724070000683820102701466355797400523174376223664936478343 Mon May 30 16:02:24 2022 elapsed time 00:02:53 (Msieve 1.54 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.349). Factorization parameters were as follows: # # N = 19x10^139+62 = 21(138)8 # n: 2187961508736265445885481956445701209535062555316561065280226855219201384376218277120341406750082353719630144222822368548481691748421 m: 50000000000000000000000000000000000 deg: 4 c4: 76 c0: 155 skew: 1.20 # Murphy_E = 3.887e-09 type: snfs lss: 1 rlim: 1550000 alim: 1550000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.3 alambda: 2.3 Factor base limits: 1550000/1550000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved special-q in [100000, 6375000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 382562 hash collisions in 6071877 relations (6379146 unique) Msieve: matrix is 222870 x 223095 (74.5 MB) Sieving start time : 2022/05/30 15:45:04 Sieving end time : 2022/05/30 15:59:19 Total sieving time: 0hrs 14min 15secs. Total relation processing time: 0hrs 1min 6sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 22sec. Prototype def-par.txt line would be: snfs,140,4,0,0,0,0,0,0,0,0,1550000,1550000,26,26,48,48,2.3,2.3,100000 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)

## 19×10141+629

### c141

name 名前 Bob Backstrom May 29, 2022 19:07:47 UTC 2022 年 5 月 30 日 (月) 4 時 7 分 47 秒 (日本時間) `351851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851853<141>` ```21113859101512560105090141686008287369091<41> 16664497482918496779578028384062675356297480993920770197320841265508485293264591890443803602284390383<101>``` ```Number: n N=351851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851853 ( 141 digits) SNFS difficulty: 141 digits. Divisors found: Mon May 30 05:03:17 2022 p41 factor: 21113859101512560105090141686008287369091 Mon May 30 05:03:17 2022 p101 factor: 16664497482918496779578028384062675356297480993920770197320841265508485293264591890443803602284390383 Mon May 30 05:03:17 2022 elapsed time 00:02:57 (Msieve 1.54 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.336). Factorization parameters were as follows: # # N = 19x10^141+62 = 21(140)8 # n: 351851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851853 m: 100000000000000000000000000000000000 deg: 4 c4: 95 c0: 31 skew: 0.76 # Murphy_E = 3.545e-09 type: snfs lss: 1 rlim: 1630000 alim: 1630000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.3 alambda: 2.3 Factor base limits: 1630000/1630000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved special-q in [100000, 6415000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 473843 hash collisions in 6613325 relations (6869817 unique) Msieve: matrix is 229685 x 229910 (76.8 MB) Sieving start time : 2022/05/30 04:33:00 Sieving end time : 2022/05/30 04:53:40 Total sieving time: 0hrs 20min 40secs. Total relation processing time: 0hrs 1min 9sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 22sec. Prototype def-par.txt line would be: snfs,141,4,0,0,0,0,0,0,0,0,1630000,1630000,26,26,48,48,2.3,2.3,100000 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)

## 19×10142+629

### c121

name 名前 Eric Jeancolas June 2, 2022 12:21:41 UTC 2022 年 6 月 2 日 (木) 21 時 21 分 41 秒 (日本時間) `7498201944751992060738433774858267238546249101066196406570011219297714507148023538352738210398581484957975751413439450607<121>` ```492795774211222092883055154911536739871964753<45> 15215637668065946580011247552249216432283746914661280979689103837235313965119<77>``` ```7498201944751992060738433774858267238546249101066196406570011219297714507148023538352738210398581484957975751413439450607=492795774211222092883055154911536739871964753*15215637668065946580011247552249216432283746914661280979689103837235313965119 cado polynomial n: 7498201944751992060738433774858267238546249101066196406570011219297714507148023538352738210398581484957975751413439450607 skew: 0.43 type: snfs c0: 31 c4: 950 Y0: 100000000000000000000000000000000000 Y1: -1 # f(x) = 950*x^4+31 # g(x) = -x+100000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 1690000 tasks.lim1 = 1690000 tasks.lpb0 = 26 tasks.lpb1 = 26 tasks.sieve.mfb0 = 48 tasks.sieve.mfb1 = 48 tasks.sieve.lambda0 = 2.3 tasks.sieve.lambda1 = 2.3 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 492795774211222092883055154911536739871964753 15215637668065946580011247552249216432283746914661280979689103837235313965119 Info:Square Root: Total cpu/real time for sqrt: 37.68/29.0625 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 50/73.9338 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 68.2s Info:Square Root: Total cpu/real time for sqrt: 37.68/29.0625 Info:Filtering - Singleton removal: Total cpu/real time for purge: 36.09/53.5397 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 6038146 Info:Lattice Sieving: Average J: 1890.41 for 210662 special-q, max bucket fill -bkmult 1.0,1s:1.329270 Info:Lattice Sieving: Total time: 33076.7s Info:Linear Algebra: Total cpu/real time for bwc: 1061.38/984.36 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 524.68, WCT time 493.24, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (7680 iterations) Info:Linear Algebra: Lingen CPU time 227.26, WCT time 194.32 Info:Linear Algebra: Mksol: CPU time 286.69, WCT time 275.89, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (3840 iterations) Info:Generate Free Relations: Total cpu/real time for freerel: 36.95/25.9197 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 23.16/39.9437 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 39.7s Info:Filtering - Merging: Merged matrix has 243193 rows and total weight 41508942 (170.7 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 52.39/39.4893 Info:Filtering - Merging: Total cpu/real time for replay: 8.2/8.89803 Info:Generate Factor Base: Total cpu/real time for makefb: 0.88/1.16225 Info:Quadratic Characters: Total cpu/real time for characters: 7.51/6.22631 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 31845/18018.6 Info:root: Cleaning up computation data in /tmp/cado.52cj18hh 492795774211222092883055154911536739871964753 15215637668065946580011247552249216432283746914661280979689103837235313965119``` `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)

## 19×10143+629

### c132

name 名前 Eric Jeancolas June 3, 2022 05:03:45 UTC 2022 年 6 月 3 日 (金) 14 時 3 分 45 秒 (日本時間) `974194878464719259277803082698428696510611591621306582441201472219037992684610255908949719496558004225299420196711456574621270835321<132>` ```316539671410842412081004595340789282483255072855359754411<57> 3077639128525835158902935896111197337519514535542104970008966342001071528811<76>``` ```974194878464719259277803082698428696510611591621306582441201472219037992684610255908949719496558004225299420196711456574621270835321=316539671410842412081004595340789282483255072855359754411*3077639128525835158902935896111197337519514535542104970008966342001071528811 cado polynomial n: 974194878464719259277803082698428696510611591621306582441201472219037992684610255908949719496558004225299420196711456574621270835321 skew: 1.20 type: snfs c0: 155 c4: 76 Y0: 500000000000000000000000000000000000 Y1: -1 # f(x) = 76*x^4+155 # g(x) = -x+500000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 1800000 tasks.lim1 = 1800000 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: 3077639128525835158902935896111197337519514535542104970008966342001071528811 316539671410842412081004595340789282483255072855359754411 Info:Square Root: Total cpu/real time for sqrt: 38.33/30.4942 Info:Filtering - Singleton removal: Total cpu/real time for purge: 35.51/53.9889 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 6046133 Info:Lattice Sieving: Average J: 1891.08 for 138835 special-q, max bucket fill -bkmult 1.0,1s:1.325070 Info:Lattice Sieving: Total time: 22972.7s Info:Linear Algebra: Total cpu/real time for bwc: 956.17/917.12 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 471.62, WCT time 459.24, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (7424 iterations) Info:Linear Algebra: Lingen CPU time 203.83, WCT time 179.06 Info:Linear Algebra: Mksol: CPU time 259.22, WCT time 258.64, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (3712 iterations) Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 23.37/40.6367 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 40.4s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 51.25/79.0194 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 70.80000000000001s Info:Filtering - Merging: Merged matrix has 235943 rows and total weight 40218767 (170.5 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 51/39.7348 Info:Filtering - Merging: Total cpu/real time for replay: 8.26/8.97027 Info:Generate Factor Base: Total cpu/real time for makefb: 0.92/0.515726 Info:Quadratic Characters: Total cpu/real time for characters: 7.71/6.60079 Info:Square Root: Total cpu/real time for sqrt: 38.33/30.4942 Info:Generate Free Relations: Total cpu/real time for freerel: 37.4/11.202 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 22758.9/12923.7 Info:root: Cleaning up computation data in /tmp/cado.sv4l2gl4 3077639128525835158902935896111197337519514535542104970008966342001071528811 316539671410842412081004595340789282483255072855359754411``` `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)

## 19×10147+629

### c108

name 名前 Eric Jeancolas June 3, 2022 05:15:17 UTC 2022 年 6 月 3 日 (金) 14 時 15 分 17 秒 (日本時間) `414280906663278388258861429357988449449557780881002797894036310517821809757742831334654805614045550916606291<108>` ```521363416164653428356919722022411780343<39> 794610618656148719280897124403853050328314818392440400655902400655237<69>``` ```414280906663278388258861429357988449449557780881002797894036310517821809757742831334654805614045550916606291=521363416164653428356919722022411780343*794610618656148719280897124403853050328314818392440400655902400655237 cado polynomial n: 414280906663278388258861429357988449449557780881002797894036310517821809757742831334654805614045550916606291 skew: 1.20 type: snfs c0: 155 c4: 76 Y0: 5000000000000000000000000000000000000 Y1: -1 # f(x) = 76*x^4+155 # g(x) = -x+5000000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 2100000 tasks.lim1 = 2100000 tasks.lpb0 = 26 tasks.lpb1 = 26 tasks.sieve.mfb0 = 49 tasks.sieve.mfb1 = 49 tasks.sieve.lambda0 = 2.3 tasks.sieve.lambda1 = 2.3 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 794610618656148719280897124403853050328314818392440400655902400655237 521363416164653428356919722022411780343 Info:Square Root: Total cpu/real time for sqrt: 50.37/16.2444 Info:Filtering - Singleton removal: Total cpu/real time for purge: 31.21/31.8355 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 6049274 Info:Lattice Sieving: Average J: 1891.39 for 202330 special-q, max bucket fill -bkmult 1.0,1s:1.328210 Info:Lattice Sieving: Total time: 29237.8s Info:Linear Algebra: Total cpu/real time for bwc: 1257.4/325.27 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 765.37, WCT time 195.57, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9344 iterations) Info:Linear Algebra: Lingen CPU time 45.81, WCT time 11.67 Info:Linear Algebra: Mksol: CPU time 419.72, WCT time 107.26, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4736 iterations) Info:Generate Free Relations: Total cpu/real time for freerel: 36.72/24.9715 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 23.36/24.9381 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 24.9s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 50.04/49.7761 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 37.400000000000006s Info:Filtering - Merging: Merged matrix has 297366 rows and total weight 50600597 (170.2 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 59.19/16.637 Info:Filtering - Merging: Total cpu/real time for replay: 9.41/7.81611 Info:Generate Factor Base: Total cpu/real time for makefb: 1.1/1.49496 Info:Quadratic Characters: Total cpu/real time for characters: 9.44/3.72314 Info:Square Root: Total cpu/real time for sqrt: 50.37/16.2444 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 32858.2/15262 Info:root: Cleaning up computation data in /tmp/cado.dg0dtx71 794610618656148719280897124403853050328314818392440400655902400655237 521363416164653428356919722022411780343``` `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)

## 19×10148+629

### c77

name 名前 Eric Jeancolas May 29, 2022 17:43:58 UTC 2022 年 5 月 30 日 (月) 2 時 43 分 58 秒 (日本時間) `66515241679444518793562632432388232143528148484034794079947557410464820701339<77>` ```14818501396828012933058531145597646459<38> 4488661835513441061164594029976340532321<40>``` ```66515241679444518793562632432388232143528148484034794079947557410464820701339 = 14818501396828012933058531145597646459 * 4488661835513441061164594029976340532321 Time elapsed: 0d 0h 1m 58.1s Modular multiplications: ECM: 78622512 Probable prime checking: 1314 SIQS: 91332 Sum of squares: 1470 SIQS: 297142 polynomials sieved 301555 sets of trial divisions 10814 smooth congruences found (1 out of every 1917711 values) 116816 partial congruences found (1 out of every 177528 values) 10900 useful partial congruences Size of binary matrix: 19865 × 19268``` `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)

## 19×10156+629

### c148

name 名前 Bob Backstrom May 31, 2022 05:57:15 UTC 2022 年 5 月 31 日 (火) 14 時 57 分 15 秒 (日本時間) `2920914559243799596412438900113240998040260955896463241875098663689675467320433265455060792199925316396239926119653893011973477221372486669204990613<148>` ```10673041021375242929500799441840624099<38> 273672194587652193414394210593220422865239523869044657125418836966907773671635196562497183383221157554663906087<111>``` ```Number: n N=2920914559243799596412438900113240998040260955896463241875098663689675467320433265455060792199925316396239926119653893011973477221372486669204990613 ( 148 digits) SNFS difficulty: 156 digits. Divisors found: Tue May 31 15:54:18 2022 p38 factor: 10673041021375242929500799441840624099 Tue May 31 15:54:18 2022 p111 factor: 273672194587652193414394210593220422865239523869044657125418836966907773671635196562497183383221157554663906087 Tue May 31 15:54:18 2022 elapsed time 00:06:43 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.343). Factorization parameters were as follows: # # N = 19x10^156+62 = 21(155)8 # n: 2920914559243799596412438900113240998040260955896463241875098663689675467320433265455060792199925316396239926119653893011973477221372486669204990613 m: 10000000000000000000000000000000 deg: 5 c5: 95 c0: 31 skew: 0.80 # Murphy_E = 6.408e-10 type: snfs lss: 1 rlim: 2900000 alim: 2900000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4 Factor base limits: 2900000/2900000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved special-q in [100000, 14250000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1484151 hash collisions in 14243161 relations (13639635 unique) Msieve: matrix is 449929 x 450155 (150.5 MB) Sieving start time : 2022/05/31 14:53:08 Sieving end time : 2022/05/31 15:47:20 Total sieving time: 0hrs 54min 12secs. Total relation processing time: 0hrs 3min 8sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 22sec. Prototype def-par.txt line would be: snfs,156,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000 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)

## 19×10161+629

### c138

name 名前 Bob Backstrom June 1, 2022 21:33:05 UTC 2022 年 6 月 2 日 (木) 6 時 33 分 5 秒 (日本時間) `383870137674214546590851358502320274363883687371347671652307024911387334827714637469122825103370721171347040378594855203637284356799929467<138>` ```424438290001391318636145987223536329433653031173<48> 904419197601036917065943404161560707888242591399408204346930244659621577578066712419831679<90>``` ```Number: n N=383870137674214546590851358502320274363883687371347671652307024911387334827714637469122825103370721171347040378594855203637284356799929467 ( 138 digits) SNFS difficulty: 161 digits. Divisors found: Thu Jun 2 07:27:34 2022 p48 factor: 424438290001391318636145987223536329433653031173 Thu Jun 2 07:27:34 2022 p90 factor: 904419197601036917065943404161560707888242591399408204346930244659621577578066712419831679 Thu Jun 2 07:27:34 2022 elapsed time 00:11:51 (Msieve 1.54 - dependency 7) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.346). Factorization parameters were as follows: # # N = 19x10^161+62 = 21(160)8 # n: 383870137674214546590851358502320274363883687371347671652307024911387334827714637469122825103370721171347040378594855203637284356799929467 m: 100000000000000000000000000000000 deg: 5 c5: 95 c0: 31 skew: 0.80 # Murphy_E = 4.105e-10 type: snfs lss: 1 rlim: 3500000 alim: 3500000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4 Factor base limits: 3500000/3500000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved special-q in [100000, 14550000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1021466 hash collisions in 11703759 relations (11425633 unique) Msieve: matrix is 575025 x 575251 (198.6 MB) Sieving start time : 2022/06/02 05:59:11 Sieving end time : 2022/06/02 07:15:10 Total sieving time: 1hrs 15min 59secs. Total relation processing time: 0hrs 5min 1sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 4min 4sec. Prototype def-par.txt line would be: snfs,161,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000 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)

## 19×10163+629

### c96

name 名前 Eric Jeancolas May 30, 2022 06:20:16 UTC 2022 年 5 月 30 日 (月) 15 時 20 分 16 秒 (日本時間) `993916514024256093149824681488691269432177953591165021663660404746039937306793886461204993485033<96>` ```9224018503766881529434752302204238613<37> 107753091954267325171541088818830279352439145231194349886341<60>``` ```993916514024256093149824681488691269432177953591165021663660404746039937306793886461204993485033=9224018503766881529434752302204238613*107753091954267325171541088818830279352439145231194349886341 cado polynomial n: 993916514024256093149824681488691269432177953591165021663660404746039937306793886461204993485033 skew: 374306.664 c0: 69991852233533762281576452 c1: -12241279452611385557 c2: -1740537193346425 c3: -2612303840 c4: 4080 Y0: -181677666152823435031685 Y1: 27236318693076167 # MurphyE (Bf=3.355e+07,Bg=1.678e+07,area=4.194e+11) = 8.137e-06 # f(x) = 4080*x^4-2612303840*x^3-1740537193346425*x^2-12241279452611385557*x+69991852233533762281576452 # g(x) = 27236318693076167*x-181677666152823435031685 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: 107753091954267325171541088818830279352439145231194349886341 9224018503766881529434752302204238613 Info:Square Root: Total cpu/real time for sqrt: 53.54/37.6146 Info:Filtering - Singleton removal: Total cpu/real time for purge: 21.84/34.356 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 2730227 Info:Lattice Sieving: Average J: 1024 for 50122 special-q, max bucket fill -bkmult 1.0,1s:1.362140 Info:Lattice Sieving: Total time: 2329.72s Info:Generate Factor Base: Total cpu/real time for makefb: 0.62/0.181069 Info:Linear Algebra: Total cpu/real time for bwc: 287.5/264.83 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 126.42, WCT time 120.9, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (4480 iterations) Info:Linear Algebra: Lingen CPU time 79.64, WCT time 63.48 Info:Linear Algebra: Mksol: CPU time 70.98, WCT time 70.94, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (2304 iterations) Info:Generate Free Relations: Total cpu/real time for freerel: 24.03/6.601 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 10.69/14.6838 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 13.8s Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 51.39 Info:Polynomial Selection (root optimized): Rootsieve time: 50.99 Info:Filtering - Merging: Merged matrix has 141333 rows and total weight 20561682 (145.5 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 21.85/17.1003 Info:Filtering - Merging: Total cpu/real time for replay: 4.73/5.1577 Info:Quadratic Characters: Total cpu/real time for characters: 5.19/3.92889 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): 7302/31.330/37.104/43.720/1.402 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 4862/31.000/35.107/38.680/1.162 Info:Polynomial Selection (size optimized): Total time: 125.76 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 32.08/50.109 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 35.5s Info:Square Root: Total cpu/real time for sqrt: 53.54/37.6146 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 4131.74/1651.48 Info:root: Cleaning up computation data in /tmp/cado.4418lejg 107753091954267325171541088818830279352439145231194349886341 9224018503766881529434752302204238613``` `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)

## 19×10165+629

### c147

name 名前 Bob Backstrom June 7, 2022 21:32:20 UTC 2022 年 6 月 8 日 (水) 6 時 32 分 20 秒 (日本時間) `173704743229960904738051613538272768686119769562288647360227203082953396307388146739076560203213079145170931863667246326863402933913447772813214493<147>` ```1891702580836254059499446360145894644835478825823<49> 91824552648848345823861774336185705171958386210145427039928043077782465599554949226114965736300291<98>``` ```Number: n N=173704743229960904738051613538272768686119769562288647360227203082953396307388146739076560203213079145170931863667246326863402933913447772813214493 ( 147 digits) SNFS difficulty: 166 digits. Divisors found: Wed Jun 8 07:28:19 2022 p49 factor: 1891702580836254059499446360145894644835478825823 Wed Jun 8 07:28:19 2022 p98 factor: 91824552648848345823861774336185705171958386210145427039928043077782465599554949226114965736300291 Wed Jun 8 07:28:19 2022 elapsed time 00:08:29 (Msieve 1.54 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.345). Factorization parameters were as follows: # # N = 19x10^165+62 = 21(164)8 # n: 173704743229960904738051613538272768686119769562288647360227203082953396307388146739076560203213079145170931863667246326863402933913447772813214493 m: 1000000000000000000000000000000000 deg: 5 c5: 19 c0: 62 skew: 1.27 # Murphy_E = 3.488e-10 type: snfs lss: 1 rlim: 4100000 alim: 4100000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4 Factor base limits: 4100000/4100000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved special-q in [100000, 7650000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1252137 hash collisions in 12395606 relations (11899488 unique) Msieve: matrix is 551564 x 551789 (191.1 MB) Sieving start time : 2022/06/08 06:43:30 Sieving end time : 2022/06/08 07:19:35 Total sieving time: 0hrs 36min 5secs. Total relation processing time: 0hrs 4min 34sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 2sec. Prototype def-par.txt line would be: snfs,166,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000 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 11:57:41 UTC 2022 年 6 月 7 日 (火) 20 時 57 分 41 秒 (日本時間)

## 19×10168+629

### c153

name 名前 Bob Backstrom June 5, 2022 19:28:45 UTC 2022 年 6 月 6 日 (月) 4 時 28 分 45 秒 (日本時間) `243821699453222337445208266694103045503466632108006157462440110467356026147087982966895181324997103864182686402018650687018928689928681097172553385711041<153>` ```530402766169840039524752776227609615303083663581946539<54> 459691606086285562278377037968349295079962576810381359666861576367652001241807650295064745043921219<99>``` ```Number: n N=243821699453222337445208266694103045503466632108006157462440110467356026147087982966895181324997103864182686402018650687018928689928681097172553385711041 ( 153 digits) SNFS difficulty: 168 digits. Divisors found: Mon Jun 6 05:24:22 2022 p54 factor: 530402766169840039524752776227609615303083663581946539 Mon Jun 6 05:24:22 2022 p99 factor: 459691606086285562278377037968349295079962576810381359666861576367652001241807650295064745043921219 Mon Jun 6 05:24:22 2022 elapsed time 00:13:40 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.317). Factorization parameters were as follows: # # N = 19x10^168+62 = 21(167)8 # n: 243821699453222337445208266694103045503466632108006157462440110467356026147087982966895181324997103864182686402018650687018928689928681097172553385711041 m: 1000000000000000000000000000000000 deg: 5 c5: 9500 c0: 31 skew: 0.32 # Murphy_E = 1.888e-10 type: snfs lss: 1 rlim: 4600000 alim: 4600000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 4600000/4600000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved special-q in [100000, 15100000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1332080 hash collisions in 12012990 relations (11381295 unique) Msieve: matrix is 800279 x 800504 (278.2 MB) Sieving start time : 2022/06/06 03:56:09 Sieving end time : 2022/06/06 05:10:27 Total sieving time: 1hrs 14min 18secs. Total relation processing time: 0hrs 9min 31sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 7sec. Prototype def-par.txt line would be: snfs,168,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.119995] 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)

## 19×10169+629

### c145

name 名前 Bob Backstrom June 7, 2022 22:40:49 UTC 2022 年 6 月 8 日 (水) 7 時 40 分 49 秒 (日本時間) `1377953343063888867361555847953490406664022981237860601840080509936130535793226683562589259225081288956302658871730334309254481444965046251228151<145>` ```13779400550555726682168134226104708526792190997<47> 100000964338634866321237202480079932156088925051205532106779167625931286204797490778463164355608283<99>``` ```Number: n N=1377953343063888867361555847953490406664022981237860601840080509936130535793226683562589259225081288956302658871730334309254481444965046251228151 ( 145 digits) SNFS difficulty: 170 digits. Divisors found: Wed Jun 8 08:37:15 2022 p47 factor: 13779400550555726682168134226104708526792190997 Wed Jun 8 08:37:15 2022 p99 factor: 100000964338634866321237202480079932156088925051205532106779167625931286204797490778463164355608283 Wed Jun 8 08:37:15 2022 elapsed time 00:13:34 (Msieve 1.54 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.350). Factorization parameters were as follows: # # N = 19x10^169+62 = 21(168)8 # n: 1377953343063888867361555847953490406664022981237860601840080509936130535793226683562589259225081288956302658871730334309254481444965046251228151 m: 5000000000000000000000000000000000 deg: 5 c5: 152 c0: 155 skew: 1.00 # Murphy_E = 1.997e-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 1352672 hash collisions in 12472749 relations (11859102 unique) Msieve: matrix is 728388 x 728615 (252.9 MB) Sieving start time : 2022/06/08 07:36:34 Sieving end time : 2022/06/08 08:23:26 Total sieving time: 0hrs 46min 52secs. Total relation processing time: 0hrs 7min 58sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 2min 30sec. 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 13:17:34 UTC 2022 年 6 月 7 日 (火) 22 時 17 分 34 秒 (日本時間)

## 19×10170+629

### c104

name 名前 Eric Jeancolas May 30, 2022 08:52:49 UTC 2022 年 5 月 30 日 (月) 17 時 52 分 49 秒 (日本時間) `24858808071071465859527105787925483712059310863441816105335287417519509736487975592307142897536458381201<104>` ```6085856704402881197397808739670635210475711387239<49> 4084685078616307664555423161871626858052501392854021959<55>``` ```24858808071071465859527105787925483712059310863441816105335287417519509736487975592307142897536458381201=6085856704402881197397808739670635210475711387239*4084685078616307664555423161871626858052501392854021959 cado polynomial n: 24858808071071465859527105787925483712059310863441816105335287417519509736487975592307142897536458381201 skew: 966.605 c0: -314578832682488476613 c1: -1338623976881699703 c2: 2469619196985769 c3: 1163314146209 c4: -1316435562 c5: -547740 Y0: -55783041358637749344 Y1: 19312577331695101 # MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 4.036e-06 # f(x) = -547740*x^5-1316435562*x^4+1163314146209*x^3+2469619196985769*x^2-1338623976881699703*x-314578832682488476613 # g(x) = 19312577331695101*x-55783041358637749344 cado parameters (extracts) tasks.lim0 = 1000000 tasks.lim1 = 1600000 tasks.lpb0 = 25 tasks.lpb1 = 26 tasks.sieve.mfb0 = 50 tasks.sieve.mfb1 = 52 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 4084685078616307664555423161871626858052501392854021959 6085856704402881197397808739670635210475711387239 Info:Square Root: Total cpu/real time for sqrt: 103.11/29.8645 Info:Filtering - Singleton removal: Total cpu/real time for purge: 16.61/18.123 Info:Generate Free Relations: Total cpu/real time for freerel: 62.8/40.8847 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 4594889 Info:Lattice Sieving: Average J: 1902.14 for 35599 special-q, max bucket fill -bkmult 1.0,1s:1.307740 Info:Lattice Sieving: Total time: 5368.15s Info:Generate Factor Base: Total cpu/real time for makefb: 1.51/1.2383 Info:Linear Algebra: Total cpu/real time for bwc: 497.41/129.74 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 294.21, WCT time 75.57, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6272 iterations) Info:Linear Algebra: Lingen CPU time 27.92, WCT time 7.14 Info:Linear Algebra: Mksol: CPU time 160.43, WCT time 41.47, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3072 iterations) Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 17.17/17.7819 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 17.6s Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 157.53 Info:Polynomial Selection (root optimized): Rootsieve time: 156.91 Info:Filtering - Merging: Merged matrix has 196478 rows and total weight 28649998 (145.8 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 25.62/7.88917 Info:Filtering - Merging: Total cpu/real time for replay: 6.21/4.9164 Info:Quadratic Characters: Total cpu/real time for characters: 7.22/2.74516 Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 9952.64 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 9452/29.860/36.501/42.270/1.069 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 7085/28.820/32.430/37.010/0.882 Info:Polynomial Selection (size optimized): Total time: 516.89 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 38.06/36.4628 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 28.2s Info:Square Root: Total cpu/real time for sqrt: 103.11/29.8645 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 7977.67/3404.4 Info:root: Cleaning up computation data in /tmp/cado.hga53zdo 4084685078616307664555423161871626858052501392854021959 6085856704402881197397808739670635210475711387239``` `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)

## 19×10172+629

### c129

name 名前 Bob Backstrom June 9, 2022 11:58:31 UTC 2022 年 6 月 9 日 (木) 20 時 58 分 31 秒 (日本時間) `135240741580241549315562792663018476126928622150685785152449741867325676647092185687985709043403608750979784361228637936510871839<129>` ```323843730835212080164229700806121207156320014767331334208109<60> 417611115186474973904738848393669426254897757117468815145849739622971<69>``` ```Number: n N=135240741580241549315562792663018476126928622150685785152449741867325676647092185687985709043403608750979784361228637936510871839 ( 129 digits) SNFS difficulty: 172 digits. Divisors found: Thu Jun 9 17:32:50 2022 p60 factor: 323843730835212080164229700806121207156320014767331334208109 Thu Jun 9 17:32:50 2022 p69 factor: 417611115186474973904738848393669426254897757117468815145849739622971 Thu Jun 9 17:32:50 2022 elapsed time 00:22:24 (Msieve 1.54 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.350). Factorization parameters were as follows: # # N = 19x10^172+62 = 21(171)8 # n: 135240741580241549315562792663018476126928622150685785152449741867325676647092185687985709043403608750979784361228637936510871839 m: 10000000000000000000000000000000000 deg: 5 c5: 950 c0: 31 skew: 0.50 # Murphy_E = 1.388e-10 type: snfs lss: 1 rlim: 5300000 alim: 5300000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 5300000/5300000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved special-q in [100000, 29850000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1218184 hash collisions in 11554815 relations (11022474 unique) Msieve: matrix is 1017397 x 1017623 (353.0 MB) Sieving start time : 2022/06/09 13:56:20 Sieving end time : 2022/06/09 17:09:45 Total sieving time: 3hrs 13min 25secs. Total relation processing time: 0hrs 16min 39sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 2min 39sec. Prototype def-par.txt line would be: snfs,172,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,52,52,2.4,2.4,100000 total time: 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)

## 19×10175+629

### c155

name 名前 Ignacio Santos June 10, 2022 11:18:15 UTC 2022 年 6 月 10 日 (金) 20 時 18 分 15 秒 (日本時間) `11084343517283795808733960245940380312677153300086001408042206678622731150885135064617241105139398864584501115726269131624066977338330441937693342254720261<155>` `3837984521084719908625465479289198027<37>` `2888063632458594619143733172941530751942801377309407866761952850704008649573122489997496273955936310000863930884511343<118>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1770419760 Step 1 took 6125ms Step 2 took 3578ms ********** Factor found in step 2: 3837984521084719908625465479289198027 Found prime factor of 37 digits: 3837984521084719908625465479289198027 Composite cofactor 2888063632458594619143733172941530751942801377309407866761952850704008649573122489997496273955936310000863930884511343 has 118 digits ``` `GMP-ECM`

### c118

name 名前 Ignacio Santos June 10, 2022 16:27:36 UTC 2022 年 6 月 11 日 (土) 1 時 27 分 36 秒 (日本時間) `2888063632458594619143733172941530751942801377309407866761952850704008649573122489997496273955936310000863930884511343<118>` ```1563626436094211440903803295698224664347<40> 1847029166168806920841558054991192291964896864205752174020182187431107480766269<79>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:978329747 Step 1 took 4766ms Step 2 took 2891ms ********** Factor found in step 2: 1563626436094211440903803295698224664347 Found prime factor of 40 digits: 1563626436094211440903803295698224664347 Prime cofactor 1847029166168806920841558054991192291964896864205752174020182187431107480766269 has 79 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)

## 19×10176+629

### c167

name 名前 Bob Backstrom June 3, 2022 22:44:33 UTC 2022 年 6 月 4 日 (土) 7 時 44 分 33 秒 (日本時間) `53125979285331443889873139646976942697712156002233051780859519985668807408255816248108010309482813759430066766900436012970366941492910572573629500957538484443596305521<167>` ```296788037867834155746726508411014901706267134770818278063<57> 179003101563647049454152906912230092040539503778088747085758986170833804629497725231171981420521676468889363167<111>``` ```Number: n N=53125979285331443889873139646976942697712156002233051780859519985668807408255816248108010309482813759430066766900436012970366941492910572573629500957538484443596305521 ( 167 digits) SNFS difficulty: 176 digits. Divisors found: Sat Jun 4 08:32:14 2022 p57 factor: 296788037867834155746726508411014901706267134770818278063 Sat Jun 4 08:32:14 2022 p111 factor: 179003101563647049454152906912230092040539503778088747085758986170833804629497725231171981420521676468889363167 Sat Jun 4 08:32:14 2022 elapsed time 00:25:45 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.326). Factorization parameters were as follows: # # N = 19x10^176+62 = 21(175)8 # n: 53125979285331443889873139646976942697712156002233051780859519985668807408255816248108010309482813759430066766900436012970366941492910572573629500957538484443596305521 m: 100000000000000000000000000000000000 deg: 5 c5: 95 c0: 31 skew: 0.80 # Murphy_E = 1.048e-10 type: snfs lss: 1 rlim: 6200000 alim: 6200000 lpbr: 27 lpba: 27 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 6200000/6200000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 53/53 Sieved special-q in [100000, 15915181) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1758176 hash collisions in 13140477 relations (12073060 unique) Msieve: matrix is 1105624 x 1105849 (384.3 MB) Sieving start time : 2022/06/04 06:38:21 Sieving end time : 2022/06/04 08:06:06 Total sieving time: 1hrs 27min 45secs. Total relation processing time: 0hrs 20min 50sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 22sec. Prototype def-par.txt line would be: snfs,176,5,0,0,0,0,0,0,0,0,6200000,6200000,27,27,53,53,2.5,2.5,100000 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)

## 19×10177+629

### c88

name 名前 Eric Jeancolas May 29, 2022 21:33:08 UTC 2022 年 5 月 30 日 (月) 6 時 33 分 8 秒 (日本時間) `3415313883175003804925235188538716958903585369925902984678765834897680293993016390015267<88>` ```57042070273336777168027405601230288509259<41> 59873596221338881571525746486864467144280191113<47>``` ```Sun May 29 22:57:49 2022 Msieve v. 1.53 (SVN 1005) Sun May 29 22:57:49 2022 random seeds: ef69430c c6a9963b Sun May 29 22:57:49 2022 factoring 3415313883175003804925235188538716958903585369925902984678765834897680293993016390015267 (88 digits) Sun May 29 22:57:50 2022 searching for 15-digit factors Sun May 29 22:57:50 2022 commencing quadratic sieve (88-digit input) Sun May 29 22:57:50 2022 using multiplier of 2 Sun May 29 22:57:50 2022 using generic 32kb sieve core Sun May 29 22:57:50 2022 sieve interval: 25 blocks of size 32768 Sun May 29 22:57:50 2022 processing polynomials in batches of 9 Sun May 29 22:57:50 2022 using a sieve bound of 1509509 (57667 primes) Sun May 29 22:57:50 2022 using large prime bound of 120760720 (26 bits) Sun May 29 22:57:50 2022 using double large prime bound of 352749308763200 (42-49 bits) Sun May 29 22:57:50 2022 using trial factoring cutoff of 49 bits Sun May 29 22:57:50 2022 polynomial 'A' values have 11 factors Sun May 29 23:13:28 2022 57918 relations (15977 full + 41941 combined from 606019 partial), need 57763 Sun May 29 23:13:29 2022 begin with 621996 relations Sun May 29 23:13:29 2022 reduce to 139301 relations in 10 passes Sun May 29 23:13:29 2022 attempting to read 139301 relations Sun May 29 23:13:29 2022 recovered 139301 relations Sun May 29 23:13:29 2022 recovered 115825 polynomials Sun May 29 23:13:29 2022 attempting to build 57918 cycles Sun May 29 23:13:29 2022 found 57918 cycles in 5 passes Sun May 29 23:13:29 2022 distribution of cycle lengths: Sun May 29 23:13:29 2022 length 1 : 15977 Sun May 29 23:13:29 2022 length 2 : 11342 Sun May 29 23:13:29 2022 length 3 : 10118 Sun May 29 23:13:29 2022 length 4 : 7680 Sun May 29 23:13:29 2022 length 5 : 5209 Sun May 29 23:13:29 2022 length 6 : 3428 Sun May 29 23:13:29 2022 length 7 : 1931 Sun May 29 23:13:29 2022 length 9+: 2233 Sun May 29 23:13:29 2022 largest cycle: 19 relations Sun May 29 23:13:29 2022 matrix is 57667 x 57918 (14.7 MB) with weight 3379637 (58.35/col) Sun May 29 23:13:29 2022 sparse part has weight 3379637 (58.35/col) Sun May 29 23:13:30 2022 filtering completed in 3 passes Sun May 29 23:13:30 2022 matrix is 53249 x 53313 (13.6 MB) with weight 3143445 (58.96/col) Sun May 29 23:13:30 2022 sparse part has weight 3143445 (58.96/col) Sun May 29 23:13:30 2022 saving the first 48 matrix rows for later Sun May 29 23:13:30 2022 matrix includes 64 packed rows Sun May 29 23:13:30 2022 matrix is 53201 x 53313 (9.4 MB) with weight 2508547 (47.05/col) Sun May 29 23:13:30 2022 sparse part has weight 1932434 (36.25/col) Sun May 29 23:13:30 2022 using block size 8192 and superblock size 1179648 for processor cache size 12288 kB Sun May 29 23:13:30 2022 commencing Lanczos iteration Sun May 29 23:13:30 2022 memory use: 5.7 MB Sun May 29 23:13:34 2022 lanczos halted after 843 iterations (dim = 53201) Sun May 29 23:13:34 2022 recovered 18 nontrivial dependencies Sun May 29 23:13:34 2022 p41 factor: 57042070273336777168027405601230288509259 Sun May 29 23:13:34 2022 p47 factor: 59873596221338881571525746486864467144280191113 Sun May 29 23:13:34 2022 elapsed time 00:15:45``` `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)

## 19×10179+629

### c122

name 名前 Ignacio Santos June 4, 2022 16:18:04 UTC 2022 年 6 月 5 日 (日) 1 時 18 分 4 秒 (日本時間) `41477963007640382153279555539901165367635209061485381499695962525252186031828490468769243822758181925551407579024307798541<122>` ```806745090839250105700816597874770549441<39> 51413963938090044630751347732082268159611091180434063938891958640164005671351105101<83>``` ```Step 1 took 17859ms Step 2 took 9266ms ********** Factor found in step 2: 806745090839250105700816597874770549441 Found prime factor of 39 digits: 806745090839250105700816597874770549441 Prime cofactor 51413963938090044630751347732082268159611091180434063938891958640164005671351105101 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)
403e62350Ignacio SantosJune 3, 2022 10:54:12 UTC 2022 年 6 月 3 日 (金) 19 時 54 分 12 秒 (日本時間)

## 19×10180+629

### c153

name 名前 Erik Branger June 10, 2022 16:27:19 UTC 2022 年 6 月 11 日 (土) 1 時 27 分 19 秒 (日本時間) `104322123770638746826280924977881012662175086240480111210652225214861876474233352786548426559070731025605984173909713186084066286916419402246779605247617<153>` ```3315009353962432705469208261117420104903728759<46> 31469631796345445772986438169782786375412806295161598058154435035202794050151533634713619185693621657176263<107>``` ```Number: 21118_180 N = 104322123770638746826280924977881012662175086240480111210652225214861876474233352786548426559070731025605984173909713186084066286916419402246779605247617 (153 digits) SNFS difficulty: 182 digits. Divisors found: r1=3315009353962432705469208261117420104903728759 (pp46) r2=31469631796345445772986438169782786375412806295161598058154435035202794050151533634713619185693621657176263 (pp107) Version: Msieve v. 1.52 (SVN unknown) Total time: 11.09 hours. Factorization parameters were as follows: n: 104322123770638746826280924977881012662175086240480111210652225214861876474233352786548426559070731025605984173909713186084066286916419402246779605247617 m: 1000000000000000000000000000000000000000000000000000000000000 deg: 3 c3: 19 c0: 62 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 maxa: 800000000 maxb: 800000000 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: 19332282 Relations: 4769980 relations Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G rational relations. Total batch smoothness checking time: 2.34 hours. Total relation processing time: 0.37 hours. Pruned matrix : 3641666 x 3641914 Matrix solve time: 8.32 hours. time per square root: 0.07 hours. Prototype def-par.txt line would be: snfs,182,3,0,0,0,0,0,0,0,0,10000000,10000000,29,26,58,52,2.8,2.8,100000 total time: 11.09 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 11:47:00 UTC 2022 年 6 月 9 日 (木) 20 時 47 分 0 秒 (日本時間)

## 19×10181+629

### c174

name 名前 Bob Backstrom June 12, 2022 08:40:07 UTC 2022 年 6 月 12 日 (日) 17 時 40 分 7 秒 (日本時間) `164620972954900353339510501408399138444527929804813088541530664833253432378044238829730089549494485122026933748287701448005904826068818605541381429856286601079834217946658587<174>` ```158916069407259819862986846683602561626636597434052068287174162284943957<72> 1035898846283571083084036269488390315206121800901297748320348620788106939671486899247480909244144540591<103>``` ```Number: n N=164620972954900353339510501408399138444527929804813088541530664833253432378044238829730089549494485122026933748287701448005904826068818605541381429856286601079834217946658587 ( 174 digits) SNFS difficulty: 181 digits. Divisors found: Sun Jun 12 18:32:11 2022 p72 factor: 158916069407259819862986846683602561626636597434052068287174162284943957 Sun Jun 12 18:32:11 2022 p103 factor: 1035898846283571083084036269488390315206121800901297748320348620788106939671486899247480909244144540591 Sun Jun 12 18:32:11 2022 elapsed time 00:22:43 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.345). Factorization parameters were as follows: # # N = 19x10^181+62 = 21(180)8 # n: 164620972954900353339510501408399138444527929804813088541530664833253432378044238829730089549494485122026933748287701448005904826068818605541381429856286601079834217946658587 m: 1000000000000000000000000000000000000 deg: 5 c5: 95 c0: 31 skew: 0.80 # Murphy_E = 6.589e-11 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, 16600000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3463196 hash collisions in 28975215 relations (27168734 unique) Msieve: matrix is 967411 x 967637 (331.3 MB) Sieving start time : 2022/06/12 14:38:23 Sieving end time : 2022/06/12 18:08:34 Total sieving time: 3hrs 30min 11secs. Total relation processing time: 0hrs 14min 40sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 0sec. Prototype def-par.txt line would be: snfs,181,5,0,0,0,0,0,0,0,0,7600000,7600000,28,28,53,53,2.5,2.5,100000 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 9, 2022 12:40:35 UTC 2022 年 6 月 9 日 (木) 21 時 40 分 35 秒 (日本時間)

## 19×10182+629

### c183

name 名前 Bob Backstrom June 11, 2022 07:53:28 UTC 2022 年 6 月 11 日 (土) 16 時 53 分 28 秒 (日本時間) `105555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555559<183>` ```617306420180933824609343727009362019673632004545263694217566030798038520021103<78> 170993775708046253159502949632681270443276351725730655608158818951594678137389711718239384802566173055753<105>``` ```Number: n N=105555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555559 ( 183 digits) SNFS difficulty: 182 digits. Divisors found: Sat Jun 11 17:49:28 2022 p78 factor: 617306420180933824609343727009362019673632004545263694217566030798038520021103 Sat Jun 11 17:49:28 2022 p105 factor: 170993775708046253159502949632681270443276351725730655608158818951594678137389711718239384802566173055753 Sat Jun 11 17:49:28 2022 elapsed time 00:24:38 (Msieve 1.54 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.327). Factorization parameters were as follows: # # N = 19x10^182+62 = 21(181)8 # n: 105555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555559 m: 1000000000000000000000000000000000000 deg: 5 c5: 950 c0: 31 skew: 0.50 # Murphy_E = 5.504e-11 type: snfs lss: 1 rlim: 7800000 alim: 7800000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 7800000/7800000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved special-q in [100000, 16700000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3562554 hash collisions in 28785130 relations (26832659 unique) Msieve: matrix is 983748 x 983975 (338.0 MB) Sieving start time : 2022/06/11 13:40:01 Sieving end time : 2022/06/11 17:24:20 Total sieving time: 3hrs 44min 19secs. Total relation processing time: 0hrs 15min 24sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 2min 15sec. Prototype def-par.txt line would be: snfs,182,5,0,0,0,0,0,0,0,0,7800000,7800000,28,28,53,53,2.5,2.5,100000 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 9, 2022 10:57:28 UTC 2022 年 6 月 9 日 (木) 19 時 57 分 28 秒 (日本時間)

## 19×10184+629

### c185

name 名前 Ignacio Santos June 9, 2022 14:17:15 UTC 2022 年 6 月 9 日 (木) 23 時 17 分 15 秒 (日本時間) `10555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555559<185>` ```10869976578925103729601437035620089<35> 971074360548379375072092195449694981592687092962436257050612469398672023778480613942559656101160755609132015741309373945180446010734374185956377835231<150>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1045283748 Step 1 took 8563ms Step 2 took 4250ms ********** Factor found in step 2: 10869976578925103729601437035620089 Found prime factor of 35 digits: 10869976578925103729601437035620089 Prime cofactor 971074360548379375072092195449694981592687092962436257050612469398672023778480613942559656101160755609132015741309373945180446010734374185956377835231 has 150 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)

## 19×10185+629

### c165

name 名前 Bob Backstrom July 21, 2022 08:53:29 UTC 2022 年 7 月 21 日 (木) 17 時 53 分 29 秒 (日本時間) `560582018399238173055934272143724631752669079636614349657413988897930061091104082339242193894975658162323349934723722523471073535048452092950032115867265662434998327<165>` ```1629289961269618122575081431854105071432308061469527979808595914603<67> 344065225788543327822944665085793459954240977905345854815295507730803948477581196646072775064062309<99>``` ```Number: n N=560582018399238173055934272143724631752669079636614349657413988897930061091104082339242193894975658162323349934723722523471073535048452092950032115867265662434998327 ( 165 digits) SNFS difficulty: 186 digits. Divisors found: Thu Jul 21 18:49:06 2022 p67 factor: 1629289961269618122575081431854105071432308061469527979808595914603 Thu Jul 21 18:49:06 2022 p99 factor: 344065225788543327822944665085793459954240977905345854815295507730803948477581196646072775064062309 Thu Jul 21 18:49:06 2022 elapsed time 00:28:41 (Msieve 1.54 - dependency 4) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.347). Factorization parameters were as follows: # # N = 19x10^185+62 = 21(184)8 # n: 560582018399238173055934272143724631752669079636614349657413988897930061091104082339242193894975658162323349934723722523471073535048452092950032115867265662434998327 m: 10000000000000000000000000000000000000 deg: 5 c5: 19 c0: 62 skew: 1.27 # Murphy_E = 5.507e-11 type: snfs lss: 1 rlim: 8900000 alim: 8900000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 Factor base limits: 8900000/8900000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 54/54 Sieved special-q in [100000, 10050000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3105928 hash collisions in 28780303 relations (27410514 unique) Msieve: matrix is 1044874 x 1045101 (361.1 MB) Sieving start time : 2022/07/21 15:35:39 Sieving end time : 2022/07/21 18:19:58 Total sieving time: 2hrs 44min 19secs. Total relation processing time: 0hrs 17min 12sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 4min 19sec. Prototype def-par.txt line would be: snfs,186,5,0,0,0,0,0,0,0,0,8900000,8900000,28,28,54,54,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.119387] 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) [ 0.153505] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.16 BogoMIPS (lpj=12798328) [ 0.152037] smpboot: Total of 16 processors activated (102386.62 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 10, 2022 08:36:38 UTC 2022 年 6 月 10 日 (金) 17 時 36 分 38 秒 (日本時間)

## 19×10186+629

### c168

name 名前 Bob Backstrom June 29, 2022 19:00:38 UTC 2022 年 6 月 30 日 (木) 4 時 0 分 38 秒 (日本時間) `570671872308659113928836691869832210938913739798325913972429633033495017617746054204331135665266225345646102443116956342655220702616555954792725045737586465357311396341<168>` ```17086662966402398807805543641929275641556029315048321647583036989<65> 33398673189187052854473728703903706650438010825640260032740567184981293052340517148326659062801757586969<104>``` ```Number: n N=570671872308659113928836691869832210938913739798325913972429633033495017617746054204331135665266225345646102443116956342655220702616555954792725045737586465357311396341 ( 168 digits) SNFS difficulty: 186 digits. Divisors found: Thu Jun 30 04:40:43 2022 p65 factor: 17086662966402398807805543641929275641556029315048321647583036989 Thu Jun 30 04:40:43 2022 p104 factor: 33398673189187052854473728703903706650438010825640260032740567184981293052340517148326659062801757586969 Thu Jun 30 04:40:43 2022 elapsed time 00:32:29 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.327). Factorization parameters were as follows: # # N = 19x10^186+62 = 21(185)8 # n: 570671872308659113928836691869832210938913739798325913972429633033495017617746054204331135665266225345646102443116956342655220702616555954792725045737586465357311396341 m: 10000000000000000000000000000000000000 deg: 5 c5: 95 c0: 31 skew: 0.80 # Murphy_E = 4.124e-11 type: snfs lss: 1 rlim: 9100000 alim: 9100000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 Factor base limits: 9100000/9100000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 54/54 Sieved special-q in [100000, 17350000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3405032 hash collisions in 28536716 relations (26757752 unique) Msieve: matrix is 1186888 x 1187113 (410.3 MB) Sieving start time : 2022/06/29 23:39:35 Sieving end time : 2022/06/30 04:07:22 Total sieving time: 4hrs 27min 47secs. Total relation processing time: 0hrs 23min 54sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 23sec. Prototype def-par.txt line would be: snfs,186,5,0,0,0,0,0,0,0,0,9100000,9100000,28,28,54,54,2.5,2.5,100000 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 10, 2022 09:01:37 UTC 2022 年 6 月 10 日 (金) 18 時 1 分 37 秒 (日本時間)

## 19×10188+629

### c122

name 名前 Ignacio Santos June 4, 2022 16:18:43 UTC 2022 年 6 月 5 日 (日) 1 時 18 分 43 秒 (日本時間) `75529750105468690089533438945033389326934791316445338454290070655303026948557615182947712385169814715215800915899821316619<122>` ```630729572984149564750272962629498000841<39> 119749815674754760213301251227132670091339970487682855596790944350208704647602187059<84>``` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3321812826 Step 1 took 17687ms Step 2 took 9391ms ********** Factor found in step 2: 630729572984149564750272962629498000841 Found prime factor of 39 digits: 630729572984149564750272962629498000841 Prime cofactor 119749815674754760213301251227132670091339970487682855596790944350208704647602187059 has 84 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 10:55:05 UTC 2022 年 6 月 3 日 (金) 19 時 55 分 5 秒 (日本時間)

## 19×10190+629

### c135

name 名前 Eric Jeancolas July 15, 2022 06:31:15 UTC 2022 年 7 月 15 日 (金) 15 時 31 分 15 秒 (日本時間) `401777757394877099352857555450711491433383518532906074502846052838950905199578805192137081133161340046502226203003244581896247176363527<135>` ```104363734565436939156062705264339103365309331883380962260159279253<66> 3849783251508301161452588738508396599147191478913423317442995749929259<70>``` ```401777757394877099352857555450711491433383518532906074502846052838950905199578805192137081133161340046502226203003244581896247176363527=104363734565436939156062705264339103365309331883380962260159279253*3849783251508301161452588738508396599147191478913423317442995749929259 cado polynomial n: 401777757394877099352857555450711491433383518532906074502846052838950905199578805192137081133161340046502226203003244581896247176363527 skew: 222605.66 c0: 861587627546327845315312990830 c1: 333957683729216095073568491 c2: -481240196438078621364 c3: -8736523587556817 c4: 20436989100 c5: 33840 Y0: -142241118888263264379704412 Y1: 65903954536190490829 # MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.338e-07 # f(x) = 33840*x^5+20436989100*x^4-8736523587556817*x^3-481240196438078621364*x^2+333957683729216095073568491*x+861587627546327845315312990830 # g(x) = 65903954536190490829*x-142241118888263264379704412 cado parameters (extracts) tasks.lim0 = 3341873 tasks.lim1 = 16407032 tasks.lpb0 = 27 tasks.lpb1 = 28 tasks.sieve.mfb0 = 51 tasks.sieve.mfb1 = 62 tasks.I = 13 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 3849783251508301161452588738508396599147191478913423317442995749929259 104363734565436939156062705264339103365309331883380962260159279253 Info:Square Root: Total cpu/real time for sqrt: 454.86/136.34 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 187.82/159.236 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 147.60000000000002s Info:Square Root: Total cpu/real time for sqrt: 454.86/136.34 Info:Filtering - Singleton removal: Total cpu/real time for purge: 88.81/96.7683 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 17020967 Info:Lattice Sieving: Average J: 3801.31 for 622686 special-q, max bucket fill -bkmult 1.0,1s:1.167930 Info:Lattice Sieving: Total time: 207136s Info:Generate Factor Base: Total cpu/real time for makefb: 14.62/3.90774 Info:Linear Algebra: Total cpu/real time for bwc: 27581.9/7086.82 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 17552.59, WCT time 4495.73, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (41728 iterations) Info:Linear Algebra: Lingen CPU time 256.02, WCT time 65.02 Info:Linear Algebra: Mksol: CPU time 9544.47, WCT time 2441.81, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (20992 iterations) Info:Generate Free Relations: Total cpu/real time for freerel: 250.27/63.2154 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 76.63/85.0433 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 85.0s Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 7318.49 Info:Polynomial Selection (root optimized): Rootsieve time: 7316.04 Info:Filtering - Merging: Merged matrix has 1328421 rows and total weight 226981083 (170.9 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 345.93/95.976 Info:Filtering - Merging: Total cpu/real time for replay: 48.84/42.6594 Info:Quadratic Characters: Total cpu/real time for characters: 45.15/18.5653 Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 53395.3 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 54231/39.340/48.377/53.470/0.961 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 44469/38.910/43.219/49.000/1.076 Info:Polynomial Selection (size optimized): Total time: 11402 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 435621/117064 Info:root: Cleaning up computation data in /tmp/cado.2vse609k 3849783251508301161452588738508396599147191478913423317442995749929259 104363734565436939156062705264339103365309331883380962260159279253``` `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 21, 2022 20:25:45 UTC 2022 年 6 月 22 日 (水) 5 時 25 分 45 秒 (日本時間)

## 19×10191+629

### c184

name 名前 Bob Backstrom June 23, 2022 06:09:31 UTC 2022 年 6 月 23 日 (木) 15 時 9 分 31 秒 (日本時間) `6038939962111182135401844446098478316172159804056612786417943452726545477092371441313864324864915110907007653949568125844287509558132225031473524807269297062366554921485929870603887703<184>` ```38070828137942513804679463470568302616817<41> 158623814019233164046310364091829714898453609017416288646473077344486369727410999743439539181516250333104934034236932477230325038794409483311559<144>``` ```Number: n N=6038939962111182135401844446098478316172159804056612786417943452726545477092371441313864324864915110907007653949568125844287509558132225031473524807269297062366554921485929870603887703 ( 184 digits) SNFS difficulty: 191 digits. Divisors found: Thu Jun 23 16:04:40 2022 p41 factor: 38070828137942513804679463470568302616817 Thu Jun 23 16:04:40 2022 p144 factor: 158623814019233164046310364091829714898453609017416288646473077344486369727410999743439539181516250333104934034236932477230325038794409483311559 Thu Jun 23 16:04:40 2022 elapsed time 00:50:48 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.316). Factorization parameters were as follows: # # N = 19x10^191+62 = 21(190)8 # n: 6038939962111182135401844446098478316172159804056612786417943452726545477092371441313864324864915110907007653949568125844287509558132225031473524807269297062366554921485929870603887703 m: 100000000000000000000000000000000000000 deg: 5 c5: 95 c0: 31 skew: 0.80 # Murphy_E = 2.57e-11 type: snfs lss: 1 rlim: 11100000 alim: 11100000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 Factor base limits: 11100000/11100000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 54/54 Sieved special-q in [100000, 25550000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3614465 hash collisions in 27851294 relations (25729088 unique) Msieve: matrix is 1480424 x 1480649 (513.3 MB) Sieving start time : 2022/06/23 08:45:50 Sieving end time : 2022/06/23 15:13:24 Total sieving time: 6hrs 27min 34secs. Total relation processing time: 0hrs 41min 10sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 53sec. Prototype def-par.txt line would be: snfs,191,5,0,0,0,0,0,0,0,0,11100000,11100000,28,28,54,54,2.5,2.5,100000 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)

## 19×10193+629

### c156

name 名前 Bob Backstrom November 5, 2022 00:43:40 UTC 2022 年 11 月 5 日 (土) 9 時 43 分 40 秒 (日本時間) `130247487782742368859395755729877591259454688664484116826801281845718611096387804203376390567776677079837400056789716478147592780155824730063336734048030239<156>` ```5968573717064840134919148894684821029295746291695726248075567239<64> 21822213137847286743212945408726754052943430206599793344073580271948041981315510062774617001<92>``` ```Number: n N=130247487782742368859395755729877591259454688664484116826801281845718611096387804203376390567776677079837400056789716478147592780155824730063336734048030239 ( 156 digits) SNFS difficulty: 193 digits. Divisors found: Sat Nov 5 11:04:31 2022 p64 factor: 5968573717064840134919148894684821029295746291695726248075567239 Sat Nov 5 11:04:31 2022 p92 factor: 21822213137847286743212945408726754052943430206599793344073580271948041981315510062774617001 Sat Nov 5 11:04:31 2022 elapsed time 00:46:44 (Msieve 1.54 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.356). Factorization parameters were as follows: # # N = 19x10^193+62 = 21(192)8 # n: 130247487782742368859395755729877591259454688664484116826801281845718611096387804203376390567776677079837400056789716478147592780155824730063336734048030239 m: 100000000000000000000000000000000 deg: 6 c6: 95 c0: 31 skew: 0.83 # Murphy_E = 2.143e-11 type: snfs lss: 1 rlim: 12000000 alim: 12000000 lpbr: 27 lpba: 27 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 Factor base limits: 12000000/12000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 54/54 Sieved special-q in [100000, 26000000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 2094131 hash collisions in 15305758 relations (14284710 unique) Msieve: matrix is 1444329 x 1444554 (506.8 MB) Sieving start time : 2022/11/05 03:31:29 Sieving end time : 2022/11/05 10:17:17 Total sieving time: 6hrs 45min 48secs. Total relation processing time: 0hrs 38min 9sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 4min 3sec. Prototype def-par.txt line would be: snfs,193,6,0,0,0,0,0,0,0,0,12000000,12000000,27,27,54,54,2.5,2.5,100000 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)
403e62350Ignacio SantosJuly 18, 2022 13:24:30 UTC 2022 年 7 月 18 日 (月) 22 時 24 分 30 秒 (日本時間)

## 19×10194+629

### c157

name 名前 Bob Backstrom September 28, 2022 04:43:01 UTC 2022 年 9 月 28 日 (水) 13 時 43 分 1 秒 (日本時間) `2719500859424257043709493878743654415657812195095624439718282234686832355355591988166134172347424172354540792481109958589382700988442732964823107300722058179<157>` ```5482855322111977768191303303078338054257577408387902900135782535211342671<73> 496000842564037289098135897617167758187608853979885101162566022455451118776138646349<84>``` ```Number: n N=2719500859424257043709493878743654415657812195095624439718282234686832355355591988166134172347424172354540792481109958589382700988442732964823107300722058179 ( 157 digits) SNFS difficulty: 195 digits. Divisors found: Wed Sep 28 14:38:51 2022 p73 factor: 5482855322111977768191303303078338054257577408387902900135782535211342671 Wed Sep 28 14:38:51 2022 p84 factor: 496000842564037289098135897617167758187608853979885101162566022455451118776138646349 Wed Sep 28 14:38:51 2022 elapsed time 01:05:34 (Msieve 1.54 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.321). Factorization parameters were as follows: # # N = 19x10^194+62 = 21(193)8 # n: 2719500859424257043709493878743654415657812195095624439718282234686832355355591988166134172347424172354540792481109958589382700988442732964823107300722058179 m: 500000000000000000000000000000000000000 deg: 5 c5: 152 c0: 155 skew: 1.00 # Murphy_E = 1.933e-11 type: snfs lss: 1 rlim: 12800000 alim: 12800000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 12800000/12800000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved special-q in [100000, 26400000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3471498 hash collisions in 28534172 relations (26668211 unique) Msieve: matrix is 1663777 x 1664002 (579.0 MB) Sieving start time : 2022/09/28 05:28:12 Sieving end time : 2022/09/28 13:32:21 Total sieving time: 8hrs 4min 9secs. Total relation processing time: 0hrs 53min 2sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 4min 16sec. Prototype def-par.txt line would be: snfs,195,5,0,0,0,0,0,0,0,0,12800000,12800000,28,28,55,55,2.5,2.5,100000 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)
403e62350Ignacio SantosJuly 19, 2022 11:10:51 UTC 2022 年 7 月 19 日 (火) 20 時 10 分 51 秒 (日本時間)

## 19×10195+629

### c185

name 名前 Bob Backstrom July 23, 2022 01:12:22 UTC 2022 年 7 月 23 日 (土) 10 時 12 分 22 秒 (日本時間) `55467066483408413822810717584664586253093037739952650419704984204186107766840964299580387355908435826260269834593298836335059759434205052286439888660710590215246880026106756814409738513<185>` ```10898028447962399711689310869007382174954103306842211<53> 1584065319863424035775732233494399604247502089140913651175877719<64> 3213025515893519617533083202929740294874410560403267250823276317032957<70>``` ```Number: n N=55467066483408413822810717584664586253093037739952650419704984204186107766840964299580387355908435826260269834593298836335059759434205052286439888660710590215246880026106756814409738513 ( 185 digits) SNFS difficulty: 196 digits. Divisors found: Sat Jul 23 11:05:49 2022 found factor: 3213025515893519617533083202929740294874410560403267250823276317032957 Sat Jul 23 11:07:47 2022 p53 factor: 10898028447962399711689310869007382174954103306842211 Sat Jul 23 11:07:47 2022 p64 factor: 1584065319863424035775732233494399604247502089140913651175877719 Sat Jul 23 11:07:47 2022 p70 factor: 3213025515893519617533083202929740294874410560403267250823276317032957 Sat Jul 23 11:07:47 2022 elapsed time 01:04:11 (Msieve 1.54 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.332). Factorization parameters were as follows: # # N = 19x10^195+62 = 21(194)8 # n: 55467066483408413822810717584664586253093037739952650419704984204186107766840964299580387355908435826260269834593298836335059759434205052286439888660710590215246880026106756814409738513 m: 1000000000000000000000000000000000000000 deg: 5 c5: 19 c0: 62 skew: 1.27 # Murphy_E = 2.131e-11 type: snfs lss: 1 rlim: 13100000 alim: 13100000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 13100000/13100000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved special-q in [100000, 19350000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3491632 hash collisions in 28764244 relations (26896865 unique) Msieve: matrix is 1611832 x 1612057 (562.5 MB) Sieving start time : 2022/07/23 04:18:00 Sieving end time : 2022/07/23 10:02:48 Total sieving time: 5hrs 44min 48secs. Total relation processing time: 0hrs 52min 2sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 3min 57sec. Prototype def-par.txt line would be: snfs,196,5,0,0,0,0,0,0,0,0,13100000,13100000,28,28,55,55,2.5,2.5,100000 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)

## 19×10198+629

### c115

name 名前 Eric Jeancolas May 31, 2022 21:23:34 UTC 2022 年 6 月 1 日 (水) 6 時 23 分 34 秒 (日本時間) `9685973111359678294324409801330474541411279418201379011868475219282927524552266115791742302255007098494096789757369<115>` ```357551586003182835598763573119665625389227<42> 27089722128301386313453071473896032738242799009450954590614398003527183147<74>``` ```9685973111359678294324409801330474541411279418201379011868475219282927524552266115791742302255007098494096789757369=357551586003182835598763573119665625389227*27089722128301386313453071473896032738242799009450954590614398003527183147 cado polynomial n: 9685973111359678294324409801330474541411279418201379011868475219282927524552266115791742302255007098494096789757369 skew: 24152.447 c0: 54982143040531389898765602 c1: -836418183523365644038 c2: -686537995374185039 c3: -24400012829541 c4: 878293038 c5: 3600 Y0: -27642075190706644152702 Y1: 36215039039707 # MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.089e-06 # f(x) = 3600*x^5+878293038*x^4-24400012829541*x^3-686537995374185039*x^2-836418183523365644038*x+54982143040531389898765602 # g(x) = 36215039039707*x-27642075190706644152702 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: 357551586003182835598763573119665625389227 27089722128301386313453071473896032738242799009450954590614398003527183147 Info:Square Root: Total cpu/real time for sqrt: 137.84/41.6002 Info:Quadratic Characters: Total cpu/real time for characters: 16.56/6.47595 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 121.47/157.172 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 121.59999999999997s Info:Square Root: Total cpu/real time for sqrt: 137.84/41.6002 Info:Linear Algebra: Total cpu/real time for bwc: 2743.32/771.76 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 1696.56, WCT time 488.33, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (14080 iterations) Info:Linear Algebra: Lingen CPU time 68.57, WCT time 17.48 Info:Linear Algebra: Mksol: CPU time 939.04, WCT time 242.05, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7040 iterations) Info:Filtering - Singleton removal: Total cpu/real time for purge: 89.62/125.562 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 7099010 Info:Lattice Sieving: Average J: 1892.91 for 144163 special-q, max bucket fill -bkmult 1.0,1s:1.257180 Info:Lattice Sieving: Total time: 31181.1s Info:Generate Factor Base: Total cpu/real time for makefb: 4.23/3.40313 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 29.31/37.6218 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 36.6s Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 341.65 Info:Polynomial Selection (root optimized): Rootsieve time: 340.5 Info:Generate Free Relations: Total cpu/real time for freerel: 63.71/43.1442 Info:Filtering - Merging: Merged matrix has 449700 rows and total weight 69910191 (155.5 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 78.31/33.7386 Info:Filtering - Merging: Total cpu/real time for replay: 18.22/17.8059 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): 21566/34.000/41.028/46.130/1.085 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16833/32.270/36.297/41.460/0.828 Info:Polynomial Selection (size optimized): Total time: 1782.98 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 35477.2/17797.2 Info:root: Cleaning up computation data in /tmp/cado.ixuknvyh 357551586003182835598763573119665625389227 27089722128301386313453071473896032738242799009450954590614398003527183147``` `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)

## 19×10205+629

### c160

composite cofactor 合成数の残り `1481345436732535323359326881460582472927352709168219762322220426390602286354500438547223498958025018196665183453756961119342244284121397130432518448457554150847<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)

## 19×10208+629

### c209

composite cofactor 合成数の残り `10555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555559<209>`

### 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)

## 19×10209+629

### c190

composite cofactor 合成数の残り `5759680091468614469992559090151647338587903417229212562633021594551639008926620412862126621408777641840813947451868818676804632368458203598458251135523750533784974452376663755159812389167369<190>`

### 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)

## 19×10210+629

### c207

composite cofactor 合成数の残り `401199374973605304278052282613286034038599603023776341906330503821951940538029477596182271210777482157185691963343046581359010093331644072807128679420583639511803707926855019215338485577938257527767219899489<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)

## 19×10211+629

### c187

composite cofactor 合成数の残り `5305010822959483403841860963737228200122625562957674162313777145945218604198999615716869278412131939273401847267586843733133260504434080334250958383406382643426840620617260334127665485663<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)

## 19×10213+629

### c198

composite cofactor 合成数の残り `535356535751375297718395080841151869295414728349213705652970625689761863971227142834278104784593588076058371955078776287762601944064763172988093332793359909242836779735299508694988560636371216788507<198>`

### 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)

## 19×10215+629

### c173

composite cofactor 合成数の残り `44014604836469000017056230895922398470188515965702163935267778004963389063608555280543334397273324286889315720390162652346119937554890292433506996090334345323463229820365717<173>`

### 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)

## 19×10216+629

### c198

composite cofactor 合成数の残り `766256388741658538608288501677853443782370783595129999850596789803399397816403708987580425980279200908272981817730501762478101247946194367692085432708864956895851392232433525781896801749306182420733<198>`

### 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)

## 19×10217+629

### c155

composite cofactor 合成数の残り `77482731871589112180574817845038141079321220746043774857803873000546489943444991763265525690002194915563815044704791527636073438670015661034784170194676637<155>`

### 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)

## 19×10221+629

### c202

name 名前 Erik Branger June 17, 2022 16:00:18 UTC 2022 年 6 月 18 日 (土) 1 時 0 分 18 秒 (日本時間) `5909852778462868052140836226885724698068611107901261777151893088012782619310176845537212979959388078485112948217619938673476347048309782700901177290038732863392008470323432664433310075466864292964555069<202>` ```32797933229041698651941154180405125232880470735919414594074573672095475037<74> 180189792362582481331197665210955206488561910822671874296944187337509953768227169396741973602077319705176179215304077884669175137<129>``` ```Number: 21118_221 N = 5909852778462868052140836226885724698068611107901261777151893088012782619310176845537212979959388078485112948217619938673476347048309782700901177290038732863392008470323432664433310075466864292964555069 (202 digits) SNFS difficulty: 222 digits. Divisors found: r1=32797933229041698651941154180405125232880470735919414594074573672095475037 (pp74) r2=180189792362582481331197665210955206488561910822671874296944187337509953768227169396741973602077319705176179215304077884669175137 (pp129) Version: Msieve v. 1.52 (SVN unknown) Total time: 44.91 hours. Factorization parameters were as follows: n: 5909852778462868052140836226885724698068611107901261777151893088012782619310176845537212979959388078485112948217619938673476347048309782700901177290038732863392008470323432664433310075466864292964555069 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 95 c0: 31 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: 30038637 Relations: 7881792 relations Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G rational relations. Total batch smoothness checking time: 20.15 hours. Total relation processing time: 0.33 hours. Pruned matrix : 6786299 x 6786524 Matrix solve time: 24.06 hours. time per square root: 0.37 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: 44.91 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)

## 19×10222+629

### c197

composite cofactor 合成数の残り `27350091591283558618218002212798853634057165129748020085243804158074336379499555269095902661506009915805241258214356687385806531123487875782047046584672760485177208037306106039346549984672194507069<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)

## 19×10223+629

### c206

composite cofactor 合成数の残り `87815712287387104105165612177746798263528417788850787544826142065884557854963097539714330621894506026581818405651931583763357951614645942685300694666335752332736734157989336404309763256660346397270846327863<206>`

### 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)

## 19×10224+629

### c210

composite cofactor 合成数の残り `643307526805673827215876182344321127216065039736936643791186670870522502536040849668496037664107068567684873037697715395197672430802216046241395163792634170109421565981969691988645600353118547164316892955779241<210>`

### 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)

## 19×10225+629

### c144

name 名前 Ignacio Santos June 3, 2022 13:17:00 UTC 2022 年 6 月 3 日 (金) 22 時 17 分 0 秒 (日本時間) `104294337999587970732223549764402041466252323604732503230502736097037927803956294366620205863924756965330149317470092060840772644391177236092633<144>` ```15580264943527811925504539347488809<35> 6694002854098627903959955849542774698181274071538120127473878281438768336139757390031198269924528445196396337<109>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:343414317 Step 1 took 5938ms Step 2 took 3437ms ********** Factor found in step 2: 15580264943527811925504539347488809 Found prime factor of 35 digits: 15580264943527811925504539347488809 Prime cofactor 6694002854098627903959955849542774698181274071538120127473878281438768336139757390031198269924528445196396337 has 109 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)

## 19×10228+629

### c221

composite cofactor 合成数の残り `12698378021338282246802833459396815308011797135369694155007306693496976020956376522804028620042812701799365378641980196403620714991317323627345469451235971428451624626006200928095577478008638166552682683868707577250352117<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)

## 19×10229+629

### c154

composite cofactor 合成数の残り `1687294946529927474618152514292150427509792857283091094609021948772098127088786516952261207770090259171681764733103629722317491112026319247705460754610407<154>`

### 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 14:20:41 UTC 2022 年 6 月 3 日 (金) 23 時 20 分 41 秒 (日本時間)
4511e64480Ignacio SantosJune 6, 2022 09:11:54 UTC 2022 年 6 月 6 日 (月) 18 時 11 分 54 秒 (日本時間)

## 19×10232+629

### c191

composite cofactor 合成数の残り `13324065139612558331534917522878104171750165371726124126218086031159937977578771885741662465547158579789692083099960358489363592487557819937487391336685275163182990033898251562193713348397567<191>`

### 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)

## 19×10239+629

### c216

composite cofactor 合成数の残り `614043571735015437359876113455007871882083312881993601117062444223130105479866920180368378367707940602360172239582948586308685371972778896103374072551308875168563756500468258708337618399335912264810613203574149344381<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)

## 19×10241+629

### c181

composite cofactor 合成数の残り `8382462900668026797242374041248069524087419746851247459549307106431129707937386840455637735840848511462460993416786443928451980106375922138397972710880426839833941530225459711484381<181>`

### 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)

## 19×10245+629

### c192

composite cofactor 合成数の残り `616573138928945439556860255915534532752537440015350304723571096313323245548167011998107229311744670165971321740076982869474352689997817775014409604949686486399590181734828192275423945433810529<192>`

### 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)

## 19×10246+629

### c195

composite cofactor 合成数の残り `305202272853714471052864618702521609360453064552952194385159692708791168516428823147872963861193700996527445761233589902286366741334943297501270903669999715232151922173169580102265347574367820799<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)

## 19×10248+629

### c220

composite cofactor 合成数の残り `2427373779524484448215897705566597284915745744316624716946900511243283641329826725785635078692337551119176588087594674764426666887161895705128574733828062646632854640277572881125988086977828164308683522413712099354989541<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)

## 19×10249+629

### c212

composite cofactor 合成数の残り `63021582371210109796169988707578916743748723455110791561627536180520242838414141397067235500707655047731461991285169426065059839432489353144935591799191152193187375340395479412648484384889088151731186354658643081<212>`

### 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)

## 19×10250+629

### c237

composite cofactor 合成数の残り `870225491267175798617604473383533111539351738601781795675648361779878098264360656709108749656105155697235514405934918527017319373297905773939203569839972441480994058515220583377423751367966687815568195740667840172214707426936204710403611<237>`

### 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)

## 19×10252+629

### c226

composite cofactor 合成数の残り `8749331305174082949097913029090970951364341022523556876301014007597968214895831630154060474424380213851531942621401345597369764279631880623942476774173766868210395248608099427381865754748020745231544270521061357366825258252761<226>`

### 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)

## 19×10254+629

### c190

composite cofactor 合成数の残り `1363920067014522224022071939483282202264210475077321628686916061167274062633137717403308228661777872853320260923291041771420869955347451515605299489846449358815483742877407032519961738549953<190>`

### 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)

## 19×10256+629

### c189

composite cofactor 合成数の残り `102678023761870508449390101824702728112870127988918781905646795040591583082934779788143460786903429644468799827793996876802357900314198617501931507743079860872612005017656448378614679922997<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)

## 19×10257+629

### c239

composite cofactor 合成数の残り `12791590442188777926159844339394089458394371845632252188372419131603118118499399100758127712149060522529291191855896039222911815626132558645090890153698164732251044222153173190936094944781056111696697017795241662472105361008480380612601217<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)

## 19×10259+629

### c247

composite cofactor 合成数の残り `4237053045851767429692093037866457725066558561573735907702245734969886441746568234994313975675960690194450745219215042569025398117170031891654630750125106588582839252194103445865400559548115146204692908414794696909941617288447617097254443238928919<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)

## 19×10260+629

### c225

composite cofactor 合成数の残り `445277173770507783927386449410791209687368272264107856353084018375029271923367533555790295416632373536641425600193882748249855825273185253587580373061400462261782920954641824894162521728099636243322943367033690535184344578821<225>`

### 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)

## 19×10261+629

### c260

composite cofactor 合成数の残り `39094650205761316872427983539094650205761316872427983539094650205761316872427983539094650205761316872427983539094650205761316872427983539094650205761316872427983539094650205761316872427983539094650205761316872427983539094650205761316872427983539094650205761317<260>`

### 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)

## 19×10263+629

### c249

composite cofactor 合成数の残り `446461977467606325592620252644677320469890960696414259398839172528982654368467167269015354814646403655588315314451411426169351411353036178031227460002337499488384953039529448670746483024312150709918586679900147893470329786134304114240627815277707793<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)

## 19×10264+629

### c252

composite cofactor 合成数の残り `230330923705932580842808747580160348002066451090218587533962527687139628708230895173038348532391028624583177402556469933303833448452835790248275425943074021384708613845385072612354632046625022729214288706571099026088313759854799509013501931569591258781<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)

## 19×10269+629

### c267

composite cofactor 合成数の残り `934119960668633235004916420845624385447394296951819075712881022615535889872173058013765978367748279252704031465093411996066863323500491642084562438544739429695181907571288102261553588987217305801376597836774827925270403146509341199606686332350049164208456243854473943<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)

## 19×10270+629

### c270

composite cofactor 合成数の残り `117283950617283950617283950617283950617283950617283950617283950617283950617283950617283950617283950617283950617283950617283950617283950617283950617283950617283950617283950617283950617283950617283950617283950617283950617283950617283950617283950617283950617283950617283951<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)

## 19×10271+629

### c204

composite cofactor 合成数の残り `891711207769532117867282348411535834010419696194103412259677594566973886161591358290328261765483093184679582897332359839742542979440154565794846139963355240250984539660876943048099902223454870401133531907<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)

## 19×10272+629

### c257

composite cofactor 合成数の残り `55511218188324247599455314389597609568158345740912982575862708667557468107487134686070649420782655868389928985942840223833253721829192675598018051148856343207947773958995376370287707051155799123503313108954735189055486758904763253072597222488728644149796019<257>`

### 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)

## 19×10273+629

### c159

composite cofactor 合成数の残り `300096897301692640144020574600363977023731579329092787232350141080901172059075423734786432125414535485486058727569304630790925513688634964314337639760700297747<159>`

### 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 15:09:39 UTC 2022 年 6 月 4 日 (土) 0 時 9 分 39 秒 (日本時間)
4511e64480Ignacio SantosJune 6, 2022 20:51:04 UTC 2022 年 6 月 7 日 (火) 5 時 51 分 4 秒 (日本時間)

## 19×10274+629

### c197

composite cofactor 合成数の残り `37922272442139981957813135349394882359793786535205883725783359021123795180464785154486773799880215497335830861996321301858074864854770709678092192023039890101753462781090015771602965181430998572897<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)

## 19×10275+629

### c257

composite cofactor 合成数の残り `22912906457102395812544216486301841876623272863648536185970904916079189421283458905902245556809207438795736826878805450769770009190129237867268015900545576051072786220103711499922898657365212976567003789702122554917467059745116261143381040241593772676665619<257>`

### 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)

## 19×10277+629

### c235

composite cofactor 合成数の残り `3548955679611156345971077083861239046043890879439930730568673581828329629318204008764272558886629686690688241097020945431898541939986623677167239627281502044990121696171689593148850356373080358067800559050897132271599657377267760676687<235>`

### 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)

## 19×10278+629

### c246

composite cofactor 合成数の残り `607778214109307652046803063619577820563700724918034079302359171801382643102768724141995619729909675461888478634464585487357893348708233928981472795639124949910208377019958171593581468662565020623910104455146652572800847554906815758054573668524921<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)

## 19×10279+629

### c244

composite cofactor 合成数の残り `8493604931285052943404518468451448092277277989913446812731875854169103084005164721993172187362754847115617819260808773359833712301853532025000013734951814818220046999582847804843574408969360948919073921488287631858767824595217037947630290629421<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)

## 19×10282+629

### c265

composite cofactor 合成数の残り `8368311394807145372165618663392094462643350901181743900630911123508947307409747807912022626541451939412882913160200375359263088629468957301729714234189039344533002073776210294796041489267348048453348916049342618295771574477721031393856788785035029241769953298355639<265>`

### 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)

## 19×10284+629

### c272

composite cofactor 合成数の残り `35816520853857455144580532666456298372978699094349620875763653491262282390191295117898429063771575700912125667413592580322782030762387109617178704845908199583410941662699214699681522477667014017567495157859176296024655533928220244235275177808610355776739684418886261222727<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)

## 19×10286+629

### c225

composite cofactor 合成数の残り `434396000620184795824200829092280827556898809304329795724213868399698035888137960569200958418551372081661794183232198299744252557697931854974275357896980985988359804002868049175403215556020624285266070773181492950068953936469<225>`

### 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)

## 19×10287+629

### c236

composite cofactor 合成数の残り `21188614894656126779454606397091698774567230038012915921085495522648368369543886749601571686652566026483890814536444755347285539076030465763878937133734049294029287253731800191134536778661000090718546793657476616309851087052238533389783<236>`

### 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)

## 19×10288+629

### c180

composite cofactor 合成数の残り `159523250325235953677859577249349683841382275549435450467650342484359029044056573642672445793031568705669389015437514336231363330819634596739542444703305954490120629032544875853977<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)
403e62350Ignacio SantosJune 4, 2022 11:01:53 UTC 2022 年 6 月 4 日 (土) 20 時 1 分 53 秒 (日本時間)
4511e64480Ignacio SantosJune 7, 2022 22:02:45 UTC 2022 年 6 月 8 日 (水) 7 時 2 分 45 秒 (日本時間)

## 19×10289+629

### c283

composite cofactor 合成数の残り `7464551825558295438946684163576145775311175557694346089152363996062173902213899639807873436402293456047422376322001593642527641824716765438402164751459103802764854281340844086805980347485102129605206139884601171746058461269858556171813239427699883215122333396899885195192922913416149<283>`

### 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)

## 19×10290+629

### c261

composite cofactor 合成数の残り `104311022724515018710859468161496588364349844444926299050013083992039199017051316035352239133785323190552931499709587534938529873595494277244054490806846401895131877002739921225913178039201688481984375139207952891326226387514432338343412664798250098517509877259<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)

## 19×10291+629

### c263

composite cofactor 合成数の残り `75376703814441734941916235875122266898140371434726364867151914160387203728233147178271988263893097031128478634748337994612565888860518264357356246829397155995289854928303777337727032440312306011053782933190848158675759484786264100161548764890544496432445113137789<263>`

### 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)

## 19×10292+629

### c233

composite cofactor 合成数の残り `67614332225783275779078574005538961794397757338208542458213442278109606748899545587730929831235181064394510866072806009727183024676910683974939504755839192118265760932361066100050875182833920356048675428850341751740454153867548549267<233>`

### 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)

## 19×10293+629

### c264

composite cofactor 合成数の残り `138336489076259104633693826183727055283348747502403206080916291731276454754729823438795989790896724941828106802859222631940371775553026332977201659353404591242691031996387429945239095937300715989705238259787793088932156885945548293916228890071618036710596162195517<264>`

### 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)

## 19×10295+629

### c260

composite cofactor 合成数の残り `72796963598506692984414674917919240880798203074226410996413714914733627376789021878924019067180131255940851435896341045654444324427328733786164998504162812951642573992646729099191377989437266761265415662830022860684455467636511606438228458042579607258954279429<260>`

### 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)

## 19×10296+629

### c289

composite cofactor 合成数の残り `1663837800880568466893105183480527896923013438570969154536601670524327150254608254057285553677327875510997208628360892590973532461651511705141838695979768727141156392877200046530712798604832422136064497512918899254580874292715905333282675602225260109821316307725974608185332027336252584043<289>`

### 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)

## 19×10297+629

### c259

composite cofactor 合成数の残り `2152309698708510351505095846217881424682289693238157749421756314002513954044007777599192251171693713141271588720772161423786675033803179378646491904497411702574704383082225327894822586610078470786921606720177362131099290453369593018428569147019586487925170629<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)

## 19×10298+629

### c268

composite cofactor 合成数の残り `2467331613514473116978756237407645177394087443975399898057696249347752622604654306210587358667116724092922105725714724062514007558920618342291862145557758734764239655428192358209256428241570340591321619091640786843109282056821482178861710257573765427896443181448784967<268>`

### 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)

## 19×10299+629

### c276

composite cofactor 合成数の残り `191353364706802730526368445198983876367335431131405475086165525874231460211452064068754886164638995747231030041109271078251876030228063997855204782554033687999443428282537624787343046513176798555512303482634211738652558081240979078838251381639436790087818313007785764745934687<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)