## 19×10105+269

### c105

name 名前 Eric Jeancolas May 29, 2022 18:41:43 UTC 2022 年 5 月 30 日 (月) 3 時 41 分 43 秒 (日本時間) `150793650793650793650793650793650793650793650793650793650793650793650793650793650793650793650793650793651<105>` ```42430440740482963294330306248663994676981<41> 3553902532286879779794424114404382532794523365453442947702488071<64>``` ```150793650793650793650793650793650793650793650793650793650793650793650793650793650793650793650793650793651=42430440740482963294330306248663994676981*3553902532286879779794424114404382532794523365453442947702488071 cado polynomial n: 150793650793650793650793650793650793650793650793650793650793650793650793650793650793650793650793650793651 skew: 0.61 type: snfs c0: 13 c4: 95 Y0: 100000000000000000000000000 Y1: -1 # f(x) = 95*x^4+13 # g(x) = -x+100000000000000000000000000 cado parameters (extracts) tasks.lim0 = 410000 tasks.lim1 = 410000 tasks.lpb0 = 25 tasks.lpb1 = 25 tasks.sieve.mfb0 = 44 tasks.sieve.mfb1 = 44 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: 42430440740482963294330306248663994676981 3553902532286879779794424114404382532794523365453442947702488071 Info:Square Root: Total cpu/real time for sqrt: 5.38/4.48985 Info:Filtering - Singleton removal: Total cpu/real time for purge: 39.69/55.0971 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 4249910 Info:Lattice Sieving: Average J: 1884.32 for 7616 special-q, max bucket fill -bkmult 1.0,1s:1.376170 Info:Lattice Sieving: Total time: 2162s Info:Linear Algebra: Total cpu/real time for bwc: 39.55/36.72 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 6.21, WCT time 7.43, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (1024 iterations) Info:Linear Algebra: Lingen CPU time 28.25, WCT time 23.13 Info:Linear Algebra: Mksol: CPU time 3.02, WCT time 3.89, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (448 iterations) Info:Generate Free Relations: Total cpu/real time for freerel: 18.46/14.3653 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 14.4/24.9491 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 24.8s Info:Filtering - Merging: Merged matrix has 30660 rows and total weight 5133630 (167.4 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 22.8/18.6454 Info:Filtering - Merging: Total cpu/real time for replay: 0.99/1.15818 Info:Generate Factor Base: Total cpu/real time for makefb: 0.23/0.306631 Info:Quadratic Characters: Total cpu/real time for characters: 0.91/0.815177 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 29.02/49.489 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 41.6s Info:Square Root: Total cpu/real time for sqrt: 5.38/4.48985 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2223.81/1488.11 Info:root: Cleaning up computation data in /tmp/cado.rhlgh468 42430440740482963294330306248663994676981 3553902532286879779794424114404382532794523365453442947702488071``` `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)

## 19×10112+269

### c111

name 名前 Eric Jeancolas May 30, 2022 17:57:37 UTC 2022 年 5 月 31 日 (火) 2 時 57 分 37 秒 (日本時間) `130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871056241426611797<111>` ```467749163456774817740676719989852964286550851833<48> 278601247991143966981180359934367943062019639704213514975714109<63>``` ```130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871056241426611797=467749163456774817740676719989852964286550851833*278601247991143966981180359934367943062019639704213514975714109 cado polynomial n: 130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871056241426611797 skew: 1.08 type: snfs c0: 26 c4: 19 Y0: 10000000000000000000000000000 Y1: -1 # f(x) = 19*x^4+26 # g(x) = -x+10000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 540000 tasks.lim1 = 540000 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: 278601247991143966981180359934367943062019639704213514975714109 467749163456774817740676719989852964286550851833 Info:Square Root: Total cpu/real time for sqrt: 4.77/4.27512 Info:Filtering - Singleton removal: Total cpu/real time for purge: 35.25/49.0783 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 3657714 Info:Lattice Sieving: Average J: 1886.23 for 8658 special-q, max bucket fill -bkmult 1.0,1s:1.351950 Info:Lattice Sieving: Total time: 1862.13s Info:Linear Algebra: Total cpu/real time for bwc: 47.04/46.48 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 10.97, WCT time 12.81, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (1280 iterations) Info:Linear Algebra: Lingen CPU time 27.67, WCT time 23.68 Info:Linear Algebra: Mksol: CPU time 5.85, WCT time 7.15, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (640 iterations) Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 12.68/23.3518 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 23.2s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 26.54/45.8679 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 38.3s Info:Filtering - Merging: Merged matrix has 38999 rows and total weight 6649033 (170.5 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 17.43/14.9901 Info:Filtering - Merging: Total cpu/real time for replay: 1.3/1.35332 Info:Generate Factor Base: Total cpu/real time for makefb: 0.27/0.152535 Info:Quadratic Characters: Total cpu/real time for characters: 1.28/1.20265 Info:Square Root: Total cpu/real time for sqrt: 4.77/4.27512 Info:Generate Free Relations: Total cpu/real time for freerel: 18.39/6.18536 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2140.52/1221.65 Info:root: Cleaning up computation data in /tmp/cado.tb4vn4n9 278601247991143966981180359934367943062019639704213514975714109 467749163456774817740676719989852964286550851833``` `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)

## 19×10133+269

### c116

name 名前 Eric Jeancolas June 1, 2022 08:57:51 UTC 2022 年 6 月 1 日 (水) 17 時 57 分 51 秒 (日本時間) `10626279252169539312704694512014478581713732074642471746872161862481526478346304653269234248893789801989886445675257<116>` ```326748766970483880298454052188971<33> 32521252798268219641491762370549493218083384058868217661403414905635337185705820267<83>``` ```10626279252169539312704694512014478581713732074642471746872161862481526478346304653269234248893789801989886445675257=326748766970483880298454052188971*32521252798268219641491762370549493218083384058868217661403414905635337185705820267 cado polynomial n: 10626279252169539312704694512014478581713732074642471746872161862481526478346304653269234248893789801989886445675257 skew: 0.61 type: snfs c0: 13 c4: 95 Y0: 1000000000000000000000000000000000 Y1: -1 # f(x) = 95*x^4+13 # g(x) = -x+1000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 1200000 tasks.lim1 = 1200000 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: 326748766970483880298454052188971 32521252798268219641491762370549493218083384058868217661403414905635337185705820267 Info:Square Root: Total cpu/real time for sqrt: 15.37/12.5771 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 48.01/73.3956 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 67.9s Info:Square Root: Total cpu/real time for sqrt: 15.37/12.5771 Info:Filtering - Singleton removal: Total cpu/real time for purge: 53.87/75.4364 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 6061537 Info:Lattice Sieving: Average J: 1890.02 for 67867 special-q, max bucket fill -bkmult 1.0,1s:1.353000 Info:Lattice Sieving: Total time: 12621.5s Info:Linear Algebra: Total cpu/real time for bwc: 269.17/255.44 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 95.77, WCT time 96.35, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (3520 iterations) Info:Linear Algebra: Lingen CPU time 113.69, WCT time 98.37 Info:Linear Algebra: Mksol: CPU time 52.74, WCT time 54.09, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (1792 iterations) Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.33/39.9678 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 39.8s Info:Generate Free Relations: Total cpu/real time for freerel: 36.47/25.6819 Info:Filtering - Merging: Merged matrix has 111373 rows and total weight 18942708 (170.1 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 28.03/22.68 Info:Filtering - Merging: Total cpu/real time for replay: 3.54/3.98748 Info:Generate Factor Base: Total cpu/real time for makefb: 0.61/0.795396 Info:Quadratic Characters: Total cpu/real time for characters: 3.52/2.97414 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 12227.2/6967.68 Info:root: Cleaning up computation data in /tmp/cado.ae80rsp8 326748766970483880298454052188971 32521252798268219641491762370549493218083384058868217661403414905635337185705820267``` `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+269

### c131

name 名前 Dmitry Domanov June 1, 2022 13:28:12 UTC 2022 年 6 月 1 日 (水) 22 時 28 分 12 秒 (日本時間) `14128705066999806659825398950014128705066999806659825398950014128705066999806659825398950014128705066999806659825398950014128705067<131>` ```228921171152310394778305685407157648467042815366253<51> 61718647497218224059936348555283945269983006348138973098185645661516769177640439<80>``` ```N=14128705066999806659825398950014128705066999806659825398950014128705066999806659825398950014128705066999806659825398950014128705067 ( 131 digits) SNFS difficulty: 134 digits. Divisors found: p51 factor: 228921171152310394778305685407157648467042815366253 p80 factor: 61718647497218224059936348555283945269983006348138973098185645661516769177640439 Version: Msieve v. 1.54 (SVN 1043M) Total time: 4.05 hours. Scaled time: 0.00 units (timescale=0.000). Factorization parameters were as follows: n: 14128705066999806659825398950014128705066999806659825398950014128705066999806659825398950014128705066999806659825398950014128705067 m: 1000000000000000000000000000000000 deg: 4 c4: 950 c0: 13 skew: 0.34 # Murphy_E = 6.543e-09 type: snfs lss: 1 rlim: 1240000 alim: 1240000 lpbr: 26 lpba: 26 mfbr: 47 mfba: 47 rlambda: 2.3 alambda: 2.3 Factor base limits: 1240000/1240000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 47/47 Sieved rational special-q in [620000, 1520001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 172802 x 173028 Total sieving time: 3.97 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.04 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,134.000,4,0,0,0,0,0,0,0,0,1240000,1240000,26,26,47,47,2.3,2.3,100000 total time: 4.05 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)

## 19×10136+269

### c101

name 名前 Dmitry Domanov June 1, 2022 12:20:23 UTC 2022 年 6 月 1 日 (水) 21 時 20 分 23 秒 (日本時間) `19728851789443722143201582811756294375107995349636654629018076965740793678578274500538669792495608181<101>` ```83265045503362645534075697783538281658301<41> 236940383208545482891295398274134234569357447702987601145881<60>``` ```N=19728851789443722143201582811756294375107995349636654629018076965740793678578274500538669792495608181 ( 101 digits) Divisors found: p41 factor: 83265045503362645534075697783538281658301 p60 factor: 236940383208545482891295398274134234569357447702987601145881 Version: Msieve v. 1.54 (SVN 1043M) Total time: 3.70 hours. Scaled time: 0.00 units (timescale=0.000). Factorization parameters were as follows: n: 19728851789443722143201582811756294375107995349636654629018076965740793678578274500538669792495608181 skew: 308080.20 c0: 10998994446963396844335393 c1: 2078421226040324019892 c2: -8441862550464453 c3: -62102394996 c4: 26460 Y0: -929242180318636423332946 Y1: 3364130462251 rlim: 1940000 alim: 1940000 lpbr: 26 lpba: 26 mfbr: 52 mfba: 52 rlambda: 2.5 alambda: 2.5 type: gnfs Factor base limits: 1940000/1940000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 52/52 Sieved algebraic special-q in [970000, 1370001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 200445 x 200670 Total sieving time: 3.63 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.03 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: gnfs,100,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1940000,1940000,26,26,52,52,2.5,2.5,100000 total time: 3.70 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)

## 19×10137+269

### c91

name 名前 Eric Jeancolas May 30, 2022 04:47:37 UTC 2022 年 5 月 30 日 (月) 13 時 47 分 37 秒 (日本時間) `2582000259876679048402346099086123253854597865260703143407332583400587172562969770122106781<91>` ```228355527983310008759448370526333967101<39> 11306931269320494103584058902100614454916371012411681<53>``` ```2582000259876679048402346099086123253854597865260703143407332583400587172562969770122106781=228355527983310008759448370526333967101*11306931269320494103584058902100614454916371012411681 cado polynomial n: 2582000259876679048402346099086123253854597865260703143407332583400587172562969770122106781 skew: 15706.739 c0: -4420769916232257092584 c1: 1822119366716736927 c2: -9911488305752 c3: 3287674752 c4: 211680 Y0: -2457600350781536745373 Y1: 493900184763973 # MurphyE (Bf=8.389e+06,Bg=8.389e+06,area=4.214e+11) = 4.199e-06 # f(x) = 211680*x^4+3287674752*x^3-9911488305752*x^2+1822119366716736927*x-4420769916232257092584 # g(x) = 493900184763973*x-2457600350781536745373 cado parameters (extracts) tasks.lim0 = 404327 tasks.lim1 = 811066 tasks.lpb0 = 23 tasks.lpb1 = 23 tasks.sieve.mfb0 = 46 tasks.sieve.mfb1 = 46 tasks.I = 11 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 228355527983310008759448370526333967101 11306931269320494103584058902100614454916371012411681 Info:Square Root: Total cpu/real time for sqrt: 11.54/3.64544 Info:Filtering - Singleton removal: Total cpu/real time for purge: 7.68/7.87841 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 1082318 Info:Lattice Sieving: Average J: 950.005 for 24416 special-q, max bucket fill -bkmult 1.0,1s:1.390680 Info:Lattice Sieving: Total time: 892.99s Info:Linear Algebra: Total cpu/real time for bwc: 69.1/19.19 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 36.38, WCT time 9.81, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (2100 iterations) Info:Linear Algebra: Lingen CPU time 7.98, WCT time 2.06 Info:Linear Algebra: Mksol: CPU time 19.99, WCT time 5.57, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (1100 iterations) Info:Generate Free Relations: Total cpu/real time for freerel: 6.29/2.04822 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 4.01/4.12247 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 3.9s Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 42.96 Info:Polynomial Selection (root optimized): Rootsieve time: 42.63 Info:Generate Factor Base: Total cpu/real time for makefb: 0.6/0.177155 Info:Filtering - Merging: Merged matrix has 65254 rows and total weight 11123105 (170.5 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 12.71/3.61021 Info:Filtering - Merging: Total cpu/real time for replay: 2.22/1.83184 Info:Quadratic Characters: Total cpu/real time for characters: 2.07/0.821936 Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 2285.08 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 2246/29.230/34.229/38.460/0.819 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 1381/29.170/32.924/36.000/1.143 Info:Polynomial Selection (size optimized): Total time: 36.95 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 9.73/11.0138 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 7.1s Info:Square Root: Total cpu/real time for sqrt: 11.54/3.64544 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1724.82/555.333 Info:root: Cleaning up computation data in /tmp/cado.yia8k8xb 228355527983310008759448370526333967101 11306931269320494103584058902100614454916371012411681``` `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)

## 19×10138+269

### c125

name 名前 Eric Jeancolas June 1, 2022 20:19:18 UTC 2022 年 6 月 2 日 (木) 5 時 19 分 18 秒 (日本時間) `86132561038388198467562099008149878702661760643230744242858407515793568903447768973663090252388069616029820928259762836612837<125>` ```89432617846795252475730201396363244983689086916748066193699<59> 963100075924644210238844726014476982379041822905203477886593330263<66>``` ```86132561038388198467562099008149878702661760643230744242858407515793568903447768973663090252388069616029820928259762836612837=89432617846795252475730201396363244983689086916748066193699*963100075924644210238844726014476982379041822905203477886593330263 cado polynomial n: 86132561038388198467562099008149878702661760643230744242858407515793568903447768973663090252388069616029820928259762836612837 skew: 0.34 type: snfs c0: 13 c4: 950 Y0: 10000000000000000000000000000000000 Y1: -1 # f(x) = 950*x^4+13 # g(x) = -x+10000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 1450000 tasks.lim1 = 1450000 tasks.lpb0 = 26 tasks.lpb1 = 26 tasks.sieve.mfb0 = 48 tasks.sieve.mfb1 = 48 tasks.sieve.lambda0 = 2.3 tasks.sieve.lambda1 = 2.3 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 89432617846795252475730201396363244983689086916748066193699 963100075924644210238844726014476982379041822905203477886593330263 Info:Square Root: Total cpu/real time for sqrt: 46.17/14.4603 Info:Filtering - Singleton removal: Total cpu/real time for purge: 42.67/37.9667 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 6063692 Info:Lattice Sieving: Average J: 1891.5 for 108351 special-q, max bucket fill -bkmult 1.0,1s:1.353480 Info:Lattice Sieving: Total time: 17037s Info:Linear Algebra: Total cpu/real time for bwc: 387.47/101.71 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 227.17, WCT time 58.53, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (5376 iterations) Info:Linear Algebra: Lingen CPU time 22.7, WCT time 5.81 Info:Linear Algebra: Mksol: CPU time 123.61, WCT time 31.93, 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: 22.35/23.4434 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 23.3s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 48.65/47.7909 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 36.2s Info:Generate Free Relations: Total cpu/real time for freerel: 36.68/26.0752 Info:Filtering - Merging: Merged matrix has 167852 rows and total weight 28554432 (170.1 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 33.69/9.36515 Info:Filtering - Merging: Total cpu/real time for replay: 5.15/4.26285 Info:Generate Factor Base: Total cpu/real time for makefb: 0.75/0.945061 Info:Quadratic Characters: Total cpu/real time for characters: 5.15/2.01893 Info:Square Root: Total cpu/real time for sqrt: 46.17/14.4603 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 17508/8893.36 Info:root: Cleaning up computation data in /tmp/cado.wuuhvdo0 89432617846795252475730201396363244983689086916748066193699 963100075924644210238844726014476982379041822905203477886593330263``` `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+269

### c130

name 名前 Eric Jeancolas June 2, 2022 11:28:43 UTC 2022 年 6 月 2 日 (木) 20 時 28 分 43 秒 (日本時間) `4987301608910528564232135219641010913960886418052713152933462196237469278869573351585215021331367435000705522848567944845983892227<130>` ```24107598447521649008172619159211542631109484532323586918147<59> 206876749659120100448489106630531646171590192761126432886811440400880641<72>``` ```4987301608910528564232135219641010913960886418052713152933462196237469278869573351585215021331367435000705522848567944845983892227=24107598447521649008172619159211542631109484532323586918147*206876749659120100448489106630531646171590192761126432886811440400880641 cado polynomial n: 4987301608910528564232135219641010913960886418052713152933462196237469278869573351585215021331367435000705522848567944845983892227 skew: 0.96 type: snfs c0: 65 c4: 76 Y0: 500000000000000000000000000000000000 Y1: -1 # f(x) = 76*x^4+65 # 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: 206876749659120100448489106630531646171590192761126432886811440400880641 24107598447521649008172619159211542631109484532323586918147 Info:Square Root: Total cpu/real time for sqrt: 40.06/29.5723 Info:Quadratic Characters: Total cpu/real time for characters: 7.84/6.47469 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 50.99/74.8586 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 69.19999999999999s Info:Square Root: Total cpu/real time for sqrt: 40.06/29.5723 Info:Linear Algebra: Total cpu/real time for bwc: 1056.6/928.9 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 501.26, WCT time 427.15, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (7552 iterations) Info:Linear Algebra: Lingen CPU time 258.62, WCT time 222.13 Info:Linear Algebra: Mksol: CPU time 274.83, WCT time 259.5, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (3840 iterations) Info:Filtering - Singleton removal: Total cpu/real time for purge: 35.12/52.5102 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 6075799 Info:Lattice Sieving: Average J: 1891.47 for 144184 special-q, max bucket fill -bkmult 1.0,1s:1.352850 Info:Lattice Sieving: Total time: 24157.2s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 23.37/40.2628 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 40.1s Info:Generate Free Relations: Total cpu/real time for freerel: 36.37/25.2347 Info:Filtering - Merging: Merged matrix has 240320 rows and total weight 41036013 (170.8 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 51.88/39.5908 Info:Filtering - Merging: Total cpu/real time for replay: 8.43/9.11212 Info:Generate Factor Base: Total cpu/real time for makefb: 0.94/1.2148 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 23528.8/13542.4 Info:root: Cleaning up computation data in /tmp/cado.i5mpbnvr 206876749659120100448489106630531646171590192761126432886811440400880641 24107598447521649008172619159211542631109484532323586918147``` `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)

## 19×10146+269

### c145

name 名前 Bob Backstrom May 29, 2022 17:24:09 UTC 2022 年 5 月 30 日 (月) 2 時 24 分 9 秒 (日本時間) `1486697965571205007824726134585289514866979655712050078247261345852895148669796557120500782472613458528951486697965571205007824726134585289514867<145>` ```5634873775522441254292186575569518571524442909856457845004393661717<67> 263838734423712049961853654397865896772902199202263787825828934140642226766951<78>``` ```Number: n N=1486697965571205007824726134585289514866979655712050078247261345852895148669796557120500782472613458528951486697965571205007824726134585289514867 ( 145 digits) SNFS difficulty: 146 digits. Divisors found: Mon May 30 03:20:52 2022 p67 factor: 5634873775522441254292186575569518571524442909856457845004393661717 Mon May 30 03:20:52 2022 p78 factor: 263838734423712049961853654397865896772902199202263787825828934140642226766951 Mon May 30 03:20:52 2022 elapsed time 00:03:19 (Msieve 1.54 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.328). Factorization parameters were as follows: # # N = 19x10^146+26 = 21(145)4 # n: 1486697965571205007824726134585289514866979655712050078247261345852895148669796557120500782472613458528951486697965571205007824726134585289514867 m: 100000000000000000000000000000 deg: 5 c5: 95 c0: 13 skew: 0.67 # Murphy_E = 1.878e-09 type: snfs lss: 1 rlim: 1970000 alim: 1970000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.3 alambda: 2.3 Factor base limits: 1970000/1970000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved special-q in [100000, 6585000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 908092 hash collisions in 7840665 relations (7236896 unique) Msieve: matrix is 272311 x 272536 (91.6 MB) Sieving start time : 2022/05/30 03:14:09 Sieving end time : 2022/05/30 03:15:22 Total sieving time: 0hrs 1min 13secs. Total relation processing time: 0hrs 1min 13sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 23sec. Prototype def-par.txt line would be: snfs,146,5,0,0,0,0,0,0,0,0,1970000,1970000,26,26,49,49,2.3,2.3,100000 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)

## 19×10148+269

### c146

name 名前 Bob Backstrom May 31, 2022 07:38:45 UTC 2022 年 5 月 31 日 (火) 16 時 38 分 45 秒 (日本時間) `68990559186637618010167029774872912127814088598402323892519970951343500363108206245461147421931735657225853304284676833696441539578794480755265069<146>` ```2315264919507152445272315147696084704541079768563329<52> 29798127464965673244312460152755366050433450106550689691283716554621679783538971775559661638061<95>``` ```Number: n N=68990559186637618010167029774872912127814088598402323892519970951343500363108206245461147421931735657225853304284676833696441539578794480755265069 ( 146 digits) SNFS difficulty: 149 digits. Divisors found: Tue May 31 17:34:23 2022 p52 factor: 2315264919507152445272315147696084704541079768563329 Tue May 31 17:34:23 2022 p95 factor: 29798127464965673244312460152755366050433450106550689691283716554621679783538971775559661638061 Tue May 31 17:34:23 2022 elapsed time 00:03:21 (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 = 19x10^148+26 = 21(147)4 # n: 68990559186637618010167029774872912127814088598402323892519970951343500363108206245461147421931735657225853304284676833696441539578794480755265069 m: 10000000000000000000000000000000000000 deg: 4 c4: 19 c0: 26 skew: 1.08 # Murphy_E = 1.986e-09 type: snfs lss: 1 rlim: 2200000 alim: 2200000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.3 alambda: 2.3 Factor base limits: 2200000/2200000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved special-q in [100000, 6700000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 735199 hash collisions in 8021777 relations (8129075 unique) Msieve: matrix is 288793 x 289018 (96.8 MB) Sieving start time : 2022/05/31 17:02:33 Sieving end time : 2022/05/31 17:30:51 Total sieving time: 0hrs 28min 18secs. Total relation processing time: 0hrs 1min 21sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 9sec. Prototype def-par.txt line would be: snfs,149,4,0,0,0,0,0,0,0,0,2200000,2200000,26,26,49,49,2.3,2.3,100000 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)

## 19×10150+269

### c142

name 名前 Bob Backstrom May 31, 2022 12:13:57 UTC 2022 年 5 月 31 日 (火) 21 時 13 分 57 秒 (日本時間) `6104260142527496194843578401315871327416301772790042074936692991147169502667054386138986841541819655570000098458503330472446519566475624592733<142>` ```54858241894439496771216877437346234629007<41> 278332150216072155027040348872261295189730911<45> 399786176763258262978632564148064504967631955696970508429<57>``` ```Number: n N=6104260142527496194843578401315871327416301772790042074936692991147169502667054386138986841541819655570000098458503330472446519566475624592733 ( 142 digits) SNFS difficulty: 151 digits. Divisors found: Tue May 31 22:04:51 2022 found factor: 399786176763258262978632564148064504967631955696970508429 Tue May 31 22:05:04 2022 found factor: 399786176763258262978632564148064504967631955696970508429 Tue May 31 22:05:16 2022 p41 factor: 54858241894439496771216877437346234629007 Tue May 31 22:05:16 2022 p45 factor: 278332150216072155027040348872261295189730911 Tue May 31 22:05:16 2022 p57 factor: 399786176763258262978632564148064504967631955696970508429 Tue May 31 22:05:16 2022 elapsed time 00:05:04 (Msieve 1.54 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.337). Factorization parameters were as follows: # # N = 19x10^150+26 = 21(149)4 # n: 6104260142527496194843578401315871327416301772790042074936692991147169502667054386138986841541819655570000098458503330472446519566475624592733 m: 1000000000000000000000000000000 deg: 5 c5: 19 c0: 26 skew: 1.06 # Murphy_E = 1.344e-09 type: snfs lss: 1 rlim: 2300000 alim: 2300000 lpbr: 27 lpba: 27 mfbr: 49 mfba: 49 rlambda: 2.4 alambda: 2.4 Factor base limits: 2300000/2300000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 49/49 Sieved special-q in [100000, 6750000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1296022 hash collisions in 13959289 relations (13558605 unique) Msieve: matrix is 412417 x 412665 (62.0 MB) Sieving start time : 2022/05/31 21:32:38 Sieving end time : 2022/05/31 21:55:41 Total sieving time: 0hrs 23min 3secs. Total relation processing time: 0hrs 1min 16sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 38sec. Prototype def-par.txt line would be: snfs,151,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000 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)

## 19×10151+269

### c128

name 名前 Eric Jeancolas June 4, 2022 02:57:19 UTC 2022 年 6 月 4 日 (土) 11 時 57 分 19 秒 (日本時間) `48049126156919843114807581194817784308130365562516265129255343539092525700879327024732124579007278083120220081362614295297878689<128>` ```9565260717331991354961970005358526045322916515994116017<55> 5023294981375273747027876248244485474306756774802716286756073289184159217<73>``` ```48049126156919843114807581194817784308130365562516265129255343539092525700879327024732124579007278083120220081362614295297878689= 9565260717331991354961970005358526045322916515994116017*5023294981375273747027876248244485474306756774802716286756073289184159217 cado polynomial n: 48049126156919843114807581194817784308130365562516265129255343539092525700879327024732124579007278083120220081362614295297878689 skew: 0.67 type: snfs c0: 13 c5: 95 Y0: 1000000000000000000000000000000 Y1: -1 # f(x) = 95*x^5+13 # g(x) = -x+1000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 2400000 tasks.lim1 = 2400000 tasks.lpb0 = 27 tasks.lpb1 = 27 tasks.sieve.mfb0 = 49 tasks.sieve.mfb1 = 49 tasks.sieve.lambda0 = 2.4 tasks.sieve.lambda1 = 2.4 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 5023294981375273747027876248244485474306756774802716286756073289184159217 9565260717331991354961970005358526045322916515994116017 Info:Square Root: Total cpu/real time for sqrt: 39.94/30.7032 Info:Filtering - Singleton removal: Total cpu/real time for purge: 107.04/147.111 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 11671347 Info:Lattice Sieving: Average J: 1894.49 for 196836 special-q, max bucket fill -bkmult 1.0,1s:1.255830 Info:Lattice Sieving: Total time: 46160.2s Info:Linear Algebra: Total cpu/real time for bwc: 865.5/737.97 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 473.29, WCT time 443.27, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (7424 iterations) Info:Linear Algebra: Lingen CPU time 110.92, WCT time 60.08 Info:Linear Algebra: Mksol: CPU time 259.56, WCT time 215.32, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (3712 iterations) Info:Generate Free Relations: Total cpu/real time for freerel: 61.65/41.0037 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 44.71/79.3875 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 79.2s Info:Filtering - Merging: Merged matrix has 236661 rows and total weight 40313871 (170.3 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 51.13/38.7468 Info:Filtering - Merging: Total cpu/real time for replay: 7.81/8.62429 Info:Generate Factor Base: Total cpu/real time for makefb: 1.06/1.3381 Info:Quadratic Characters: Total cpu/real time for characters: 7.45/5.62376 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 101.47/151.626 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 142.0s Info:Square Root: Total cpu/real time for sqrt: 39.94/30.7032 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 44607.5/24548.7 Info:root: Cleaning up computation data in /tmp/cado.cp7jycw_ 5023294981375273747027876248244485474306756774802716286756073289184159217 9565260717331991354961970005358526045322916515994116017``` `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)

## 19×10152+269

### c140

name 名前 Bob Backstrom June 1, 2022 17:45:47 UTC 2022 年 6 月 2 日 (木) 2 時 45 分 47 秒 (日本時間) `18457817490163095731423239387282264733531919207367523240202081057163025112915958888761516534425061387605582203126914329803571927303630268569<140>` ```331139318185020601234476085519805557<36> 55740337907714072476060130447729063930953451627165215678195012196033795892122054088446286115656070551317<104>``` ```Number: n N=18457817490163095731423239387282264733531919207367523240202081057163025112915958888761516534425061387605582203126914329803571927303630268569 ( 140 digits) SNFS difficulty: 153 digits. Divisors found: Thu Jun 2 03:42:10 2022 p36 factor: 331139318185020601234476085519805557 Thu Jun 2 03:42:10 2022 p104 factor: 55740337907714072476060130447729063930953451627165215678195012196033795892122054088446286115656070551317 Thu Jun 2 03:42:10 2022 elapsed time 00:04:55 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.348). Factorization parameters were as follows: # # N = 19x10^152+26 = 21(151)4 # n: 18457817490163095731423239387282264733531919207367523240202081057163025112915958888761516534425061387605582203126914329803571927303630268569 m: 100000000000000000000000000000000000000 deg: 4 c4: 19 c0: 26 skew: 1.08 # Murphy_E = 1.238e-09 type: snfs lss: 1 rlim: 2500000 alim: 2500000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4 Factor base limits: 2500000/2500000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved special-q in [100000, 6850000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1285272 hash collisions in 13180345 relations (13241947 unique) Msieve: matrix is 333278 x 333508 (113.0 MB) Sieving start time : 2022/06/02 03:18:52 Sieving end time : 2022/06/02 03:36:59 Total sieving time: 0hrs 18min 7secs. Total relation processing time: 0hrs 1min 54sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 11sec. Prototype def-par.txt line would be: snfs,153,4,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved) [ 0.154085] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292) [ 0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)```

### ECM

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

## 19×10156+269

### c122

name 名前 Eric Jeancolas June 4, 2022 08:37:42 UTC 2022 年 6 月 4 日 (土) 17 時 37 分 42 秒 (日本時間) `89721623143414797620909557484279732634688617347812911728556190063713986170618890186091472330407588038357343041552158531317<122>` ```2704463833093824923366046450482265889<37> 33175382878304558885448176274542943891416428599395975385487632350860238479665135552853<86>``` ```89721623143414797620909557484279732634688617347812911728556190063713986170618890186091472330407588038357343041552158531317=2704463833093824923366046450482265889*33175382878304558885448176274542943891416428599395975385487632350860238479665135552853 cado polynomial n: 89721623143414797620909557484279732634688617347812911728556190063713986170618890186091472330407588038357343041552158531317 skew: 0.67 type: snfs c0: 13 c5: 95 Y0: 10000000000000000000000000000000 Y1: -1 # f(x) = 95*x^5+13 # g(x) = -x+10000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 2900000 tasks.lim1 = 2900000 tasks.lpb0 = 27 tasks.lpb1 = 27 tasks.sieve.mfb0 = 50 tasks.sieve.mfb1 = 50 tasks.sieve.lambda0 = 2.4 tasks.sieve.lambda1 = 2.4 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 33175382878304558885448176274542943891416428599395975385487632350860238479665135552853 2704463833093824923366046450482265889 Info:Square Root: Total cpu/real time for sqrt: 58.89/46.8705 Info:Filtering - Singleton removal: Total cpu/real time for purge: 89.56/129.908 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 11667612 Info:Lattice Sieving: Average J: 1894.35 for 228709 special-q, max bucket fill -bkmult 1.0,1s:1.217650 Info:Lattice Sieving: Total time: 58130.6s Info:Linear Algebra: Total cpu/real time for bwc: 1786.75/1667.39 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 913.23, WCT time 852.83, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (9984 iterations) Info:Linear Algebra: Lingen CPU time 343.03, WCT time 307.76 Info:Linear Algebra: Mksol: CPU time 500.2, WCT time 479.14, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (4992 iterations) Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.39/79.154 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 78.9s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 104.3/156.378 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 146.0s Info:Generate Free Relations: Total cpu/real time for freerel: 59.83/41.8029 Info:Filtering - Merging: Merged matrix has 318567 rows and total weight 54184123 (170.1 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 68.52/54.3445 Info:Filtering - Merging: Total cpu/real time for replay: 10.9/11.9249 Info:Generate Factor Base: Total cpu/real time for makefb: 1.25/1.6569 Info:Quadratic Characters: Total cpu/real time for characters: 10.12/8.36142 Info:Square Root: Total cpu/real time for sqrt: 58.89/46.8705 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 52455.4/31583.5 Info:root: Cleaning up computation data in /tmp/cado.kyd8jhix 33175382878304558885448176274542943891416428599395975385487632350860238479665135552853 2704463833093824923366046450482265889``` `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)

## 19×10158+269

### c125

name 名前 Eric Jeancolas June 4, 2022 21:02:37 UTC 2022 年 6 月 5 日 (日) 6 時 2 分 37 秒 (日本時間) `58819745222359685378594944587325592499923900465029895263683372855621737773072867847333473011662141317339144440490281404641327<125>` ```15267005498015809768236905175625509501829574620780930345657<59> 3852736231083708391529105062461032375460317762350527489979007606311<67>``` ```58819745222359685378594944587325592499923900465029895263683372855621737773072867847333473011662141317339144440490281404641327=15267005498015809768236905175625509501829574620780930345657*3852736231083708391529105062461032375460317762350527489979007606311 cado polynomial n: 58819745222359685378594944587325592499923900465029895263683372855621737773072867847333473011662141317339144440490281404641327 skew: 0.27 type: snfs c0: 13 c5: 9500 Y0: 10000000000000000000000000000000 Y1: -1 # f(x) = 9500*x^5+13 # g(x) = -x+10000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 3100000 tasks.lim1 = 3100000 tasks.lpb0 = 27 tasks.lpb1 = 27 tasks.sieve.mfb0 = 50 tasks.sieve.mfb1 = 50 tasks.sieve.lambda0 = 2.4 tasks.sieve.lambda1 = 2.4 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 15267005498015809768236905175625509501829574620780930345657 3852736231083708391529105062461032375460317762350527489979007606311 Info:Square Root: Total cpu/real time for sqrt: 138.55/42.6524 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 103.55/120.053 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 99.5s Info:Square Root: Total cpu/real time for sqrt: 138.55/42.6524 Info:Filtering - Singleton removal: Total cpu/real time for purge: 84.79/96.2535 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 11636714 Info:Lattice Sieving: Average J: 1894.12 for 311803 special-q, max bucket fill -bkmult 1.0,1s:1.230540 Info:Lattice Sieving: Total time: 75162.5s Info:Linear Algebra: Total cpu/real time for bwc: 2042.11/1031.79 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 1254.94, WCT time 656.11, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (11648 iterations) Info:Linear Algebra: Lingen CPU time 70.02, WCT time 29.64 Info:Linear Algebra: Mksol: CPU time 679.41, WCT time 321.78, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (5888 iterations) Info:Generate Free Relations: Total cpu/real time for freerel: 62.45/58.2589 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.76/59.5934 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 59.5s Info:Filtering - Merging: Merged matrix has 370187 rows and total weight 63026324 (170.3 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 82.94/35.774 Info:Filtering - Merging: Total cpu/real time for replay: 14.29/14.1292 Info:Generate Factor Base: Total cpu/real time for makefb: 1.39/2.05852 Info:Quadratic Characters: Total cpu/real time for characters: 11.4/4.50588 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 68331.7/39393.1 Info:root: Cleaning up computation data in /tmp/cado.fm87uc9p 15267005498015809768236905175625509501829574620780930345657 3852736231083708391529105062461032375460317762350527489979007606311``` `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)

## 19×10159+269

### c120

name 名前 Eric Jeancolas June 6, 2022 03:44:18 UTC 2022 年 6 月 6 日 (月) 12 時 44 分 18 秒 (日本時間) `211026660911395155804885608608371766705847099391909163558846658208885950642263762289518274062281410680766623971356596921<120>` ```10055724878051081833781217347337879476921<41> 20985723403392736156182543686480486335595633510082760453284984613831869214720001<80>``` ```211026660911395155804885608608371766705847099391909163558846658208885950642263762289518274062281410680766623971356596921=10055724878051081833781217347337879476921*20985723403392736156182543686480486335595633510082760453284984613831869214720001 cado polynomial n: 211026660911395155804885608608371766705847099391909163558846658208885950642263762289518274062281410680766623971356596921 skew: 0.84 type: snfs c0: 65 c5: 152 Y0: 50000000000000000000000000000000 Y1: -1 # f(x) = 152*x^5+65 # g(x) = -x+50000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 3300000 tasks.lim1 = 3300000 tasks.lpb0 = 27 tasks.lpb1 = 27 tasks.sieve.mfb0 = 51 tasks.sieve.mfb1 = 51 tasks.sieve.lambda0 = 2.4 tasks.sieve.lambda1 = 2.4 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 20985723403392736156182543686480486335595633510082760453284984613831869214720001 10055724878051081833781217347337879476921 Info:Square Root: Total cpu/real time for sqrt: 84.64/65.329 Info:Filtering - Singleton removal: Total cpu/real time for purge: 72.99/106.747 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 11661619 Info:Lattice Sieving: Average J: 1893.58 for 268972 special-q, max bucket fill -bkmult 1.0,1s:1.231040 Info:Lattice Sieving: Total time: 62278.1s Info:Linear Algebra: Total cpu/real time for bwc: 3157.82/2596.49 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 1652.41, WCT time 1335.02, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (13440 iterations) Info:Linear Algebra: Lingen CPU time 564.33, WCT time 484.84 Info:Linear Algebra: Mksol: CPU time 900.62, WCT time 742.74, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (6656 iterations) Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.77/77.9086 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 77.7s Info:Generate Free Relations: Total cpu/real time for freerel: 60.88/40.9197 Info:Filtering - Merging: Merged matrix has 425881 rows and total weight 72678653 (170.7 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 93.09/68.732 Info:Filtering - Merging: Total cpu/real time for replay: 15.53/16.7777 Info:Generate Factor Base: Total cpu/real time for makefb: 1.43/1.94153 Info:Quadratic Characters: Total cpu/real time for characters: 14.17/11.6353 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 107.73/159.849 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 150.2s Info:Square Root: Total cpu/real time for sqrt: 84.64/65.329 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 62256.2/34566.6 Info:root: Cleaning up computation data in /tmp/cado.f6hm769m 20985723403392736156182543686480486335595633510082760453284984613831869214720001 10055724878051081833781217347337879476921``` `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)

## 19×10160+269

### c125

name 名前 Eric Jeancolas June 6, 2022 03:37:14 UTC 2022 年 6 月 6 日 (月) 12 時 37 分 14 秒 (日本時間) `71255964923129296402583561960351433477516958941132818305543313803864870562383393666381467626029662904148954715109177729936679<125>` ```115677143420455712154895400787646456968570757718303999897642423<63> 615990011649343529985491723218787356317280382259923071757382673<63>``` ```71255964923129296402583561960351433477516958941132818305543313803864870562383393666381467626029662904148954715109177729936679=115677143420455712154895400787646456968570757718303999897642423*615990011649343529985491723218787356317280382259923071757382673 cado polynomial n: 71255964923129296402583561960351433477516958941132818305543313803864870562383393666381467626029662904148954715109177729936679 skew: 1.06 type: snfs c0: 26 c5: 19 Y0: 100000000000000000000000000000000 Y1: -1 # f(x) = 19*x^5+26 # g(x) = -x+100000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 3400000 tasks.lim1 = 3400000 tasks.lpb0 = 27 tasks.lpb1 = 27 tasks.sieve.mfb0 = 51 tasks.sieve.mfb1 = 51 tasks.sieve.lambda0 = 2.4 tasks.sieve.lambda1 = 2.4 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 615990011649343529985491723218787356317280382259923071757382673 115677143420455712154895400787646456968570757718303999897642423 Info:Square Root: Total cpu/real time for sqrt: 140.04/63.8075 Info:Filtering - Singleton removal: Total cpu/real time for purge: 76.53/113.003 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 11652156 Info:Lattice Sieving: Average J: 1894.75 for 233266 special-q, max bucket fill -bkmult 1.0,1s:1.233870 Info:Lattice Sieving: Total time: 56969.4s Info:Linear Algebra: Total cpu/real time for bwc: 2666.34/2346.58 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 1368.07, WCT time 1255.81, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (12672 iterations) Info:Linear Algebra: Lingen CPU time 500.87, WCT time 449.39 Info:Linear Algebra: Mksol: CPU time 760.48, WCT time 608.39, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (6400 iterations) Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.44/78.1051 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 77.9s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 106.62/155.564 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 145.0s Info:Filtering - Merging: Merged matrix has 401616 rows and total weight 68461737 (170.5 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 87.99/67.1914 Info:Filtering - Merging: Total cpu/real time for replay: 14.36/15.77 Info:Generate Factor Base: Total cpu/real time for makefb: 1.47/0.801481 Info:Quadratic Characters: Total cpu/real time for characters: 13.42/7.73125 Info:Square Root: Total cpu/real time for sqrt: 140.04/63.8075 Info:Generate Free Relations: Total cpu/real time for freerel: 59.74/17.0699 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 56137.5/31599.2 Info:root: Cleaning up computation data in /tmp/cado.90u_3f1b 615990011649343529985491723218787356317280382259923071757382673 115677143420455712154895400787646456968570757718303999897642423``` `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)

## 19×10161+269

### c145

name 名前 Bob Backstrom June 1, 2022 11:48:35 UTC 2022 年 6 月 1 日 (水) 20 時 48 分 35 秒 (日本時間) `1300437535732565674267074581412936159450722134414627513729368664582847172833260671124638549816697596458336104971275624250842387945999173445792453<145>` ```446394036696223547127334852657143635734700242742477010032262735431<66> 2913205439206010023557798683790401945441866509360303647965165538316112715401363<79>``` ```Number: n N=1300437535732565674267074581412936159450722134414627513729368664582847172833260671124638549816697596458336104971275624250842387945999173445792453 ( 145 digits) SNFS difficulty: 161 digits. Divisors found: Wed Jun 1 21:43:24 2022 p66 factor: 446394036696223547127334852657143635734700242742477010032262735431 Wed Jun 1 21:43:24 2022 p79 factor: 2913205439206010023557798683790401945441866509360303647965165538316112715401363 Wed Jun 1 21:43:24 2022 elapsed time 00:07:25 (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 = 19x10^161+26 = 21(160)4 # n: 1300437535732565674267074581412936159450722134414627513729368664582847172833260671124638549816697596458336104971275624250842387945999173445792453 m: 100000000000000000000000000000000 deg: 5 c5: 95 c0: 13 skew: 0.67 # Murphy_E = 5.009e-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, 7350000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1062731 hash collisions in 12319793 relations (12050703 unique) Msieve: matrix is 504226 x 504452 (174.7 MB) Sieving start time : 2022/06/01 20:54:10 Sieving end time : 2022/06/01 21:35:43 Total sieving time: 0hrs 41min 33secs. Total relation processing time: 0hrs 4min 5sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 29sec. 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+269

### c133

name 名前 Bob Backstrom June 2, 2022 13:50:00 UTC 2022 年 6 月 2 日 (木) 22 時 50 分 0 秒 (日本時間) `4901268069245771660891140137817763170064045302154716636396086459648971229118308128423263302702661453523035171120457523760258320430513<133>` ```56031698510733303570016934673090171141819816112579495381<56> 87473130380063277901565846186579978031971678369460249470049159242411817521773<77>``` ```Number: n N=4901268069245771660891140137817763170064045302154716636396086459648971229118308128423263302702661453523035171120457523760258320430513 ( 133 digits) SNFS difficulty: 163 digits. Divisors found: Thu Jun 2 23:48:00 2022 p56 factor: 56031698510733303570016934673090171141819816112579495381 Thu Jun 2 23:48:00 2022 p77 factor: 87473130380063277901565846186579978031971678369460249470049159242411817521773 Thu Jun 2 23:48:00 2022 elapsed time 00:09:26 (Msieve 1.54 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.318). Factorization parameters were as follows: # # N = 19x10^163+26 = 21(162)4 # n: 4901268069245771660891140137817763170064045302154716636396086459648971229118308128423263302702661453523035171120457523760258320430513 m: 100000000000000000000000000000000 deg: 5 c5: 9500 c0: 13 skew: 0.27 # Murphy_E = 3.227e-10 type: snfs lss: 1 rlim: 3800000 alim: 3800000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4 Factor base limits: 3800000/3800000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved special-q in [100000, 7500000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1264716 hash collisions in 12273954 relations (11747813 unique) Msieve: matrix is 552471 x 552696 (189.9 MB) Sieving start time : 2022/06/02 23:01:06 Sieving end time : 2022/06/02 23:38:17 Total sieving time: 0hrs 37min 11secs. Total relation processing time: 0hrs 4min 34sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 59sec. Prototype def-par.txt line would be: snfs,163,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000 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)

## 19×10165+269

### c113

name 名前 Markus Tervooren May 30, 2022 18:38:13 UTC 2022 年 5 月 31 日 (火) 3 時 38 分 13 秒 (日本時間) `41602789799102012544836944789244106390401793181524192953449852043942838095540304327205545908246262423996966526529<113>` ```10933636578707229600251868650221930982192477<44> 3805027677627551042737897349846216950885292581472096538036783840295477<70>``` ```Using B1=1012225, B2=1012225-1045563762, polynomial Dickson(6), sigma=1:547694337 Step 1 took 2068ms Step 2 took 1487ms ********** Factor found in step 2: 10933636578707229600251868650221930982192477 Found prime factor of 44 digits: 10933636578707229600251868650221930982192477 Prime cofactor 3805027677627551042737897349846216950885292581472096538036783840295477 has 70 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)

## 19×10166+269

### c141

name 名前 Florian Baur June 7, 2022 12:11:04 UTC 2022 年 6 月 7 日 (火) 21 時 11 分 4 秒 (日本時間) `194056697993618553846083975167555346863159971843579909655311266449724338884540172160213461751329401889618552571447381297792885339472148675303<141>` ```9431303103866387895149874550003357984939<40> 20575809711180260153644026234841013536207954902012352771073363298789867537967572913648838061925265077<101>``` `06/07/22 14:06:15, prp40 = 9431303103866387895149874550003357984939 (curve 807 stg2 B1=3000000 sigma=2359177824 thread=6)` `GMP-ECM (via yafu 2.0)` `AMD Epyc 4701P, Ubuntu 22.4`

### 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+269

### c113

name 名前 Eric Jeancolas May 30, 2022 16:31:31 UTC 2022 年 5 月 31 日 (火) 1 時 31 分 31 秒 (日本時間) `14496212375288466042961328106214305865857134953251712923655396324661593338481869150859885285291176954991589744287<113>` ```2114180857773883164534694806323631670092591977<46> 6856656715051419485153946996536479873872257312223844936932530809031<67>``` ```14496212375288466042961328106214305865857134953251712923655396324661593338481869150859885285291176954991589744287=2114180857773883164534694806323631670092591977*6856656715051419485153946996536479873872257312223844936932530809031 cado polynomial n: 14496212375288466042961328106214305865857134953251712923655396324661593338481869150859885285291176954991589744287 skew: 27211.284 c0: 375815768548872960011785904 c1: -9654470262049393662646 c2: -2732740519216190611 c3: 40469881796199 c4: 1532587170 c5: 19800 Y0: -5916548333631078641311 Y1: 748725768001313 # MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.334e-06 # f(x) = 19800*x^5+1532587170*x^4+40469881796199*x^3-2732740519216190611*x^2-9654470262049393662646*x+375815768548872960011785904 # g(x) = 748725768001313*x-5916548333631078641311 cado parameters (extracts) tasks.lim0 = 1400000 tasks.lim1 = 2500000 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: 2114180857773883164534694806323631670092591977 6856656715051419485153946996536479873872257312223844936932530809031 Info:Square Root: Total cpu/real time for sqrt: 119.26/52.2476 Info:Generate Free Relations: Total cpu/real time for freerel: 63.68/44.3999 Info:Filtering - Singleton removal: Total cpu/real time for purge: 67.15/112.391 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 6456724 Info:Lattice Sieving: Average J: 1903.75 for 89685 special-q, max bucket fill -bkmult 1.0,1s:1.263240 Info:Lattice Sieving: Total time: 21867.2s Info:Generate Factor Base: Total cpu/real time for makefb: 4.23/3.87719 Info:Linear Algebra: Total cpu/real time for bwc: 2106.78/1314.36 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 1280.67, WCT time 859.18, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (12288 iterations) Info:Linear Algebra: Lingen CPU time 80.75, WCT time 34.0 Info:Linear Algebra: Mksol: CPU time 711.03, WCT time 390.19, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (6144 iterations) Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 26.7/46.6757 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 45.5s Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 267.22 Info:Polynomial Selection (root optimized): Rootsieve time: 266.09 Info:Filtering - Merging: Merged matrix has 392176 rows and total weight 60816072 (155.1 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 63.06/48.2531 Info:Filtering - Merging: Total cpu/real time for replay: 14.58/16.116 Info:Quadratic Characters: Total cpu/real time for characters: 14.71/8.28145 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): 23130/32.150/39.880/45.200/1.032 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 18129/31.300/35.352/40.390/0.784 Info:Polynomial Selection (size optimized): Total time: 1870.93 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 99.32/155.282 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 128.5s Info:Square Root: Total cpu/real time for sqrt: 119.26/52.2476 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 24507.1/13754.8 Info:root: Cleaning up computation data in /tmp/cado.w7m39p5i 2114180857773883164534694806323631670092591977 6856656715051419485153946996536479873872257312223844936932530809031``` `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)

## 19×10170+269

### c160

name 名前 Bob Backstrom June 4, 2022 10:53:17 UTC 2022 年 6 月 4 日 (土) 19 時 53 分 17 秒 (日本時間) `1952332795623801481031626246568461204835080947521683158981650582168335718432557233462146364002058890486642105353097010135799974193093873255948014692453171211629<160>` ```6668985609266987188266618505247159292650353589056504049<55> 292748089441205074245541733698399558626714286087892269266030671980959272462681994753721033193028496143421<105>``` ```Number: n N=1952332795623801481031626246568461204835080947521683158981650582168335718432557233462146364002058890486642105353097010135799974193093873255948014692453171211629 ( 160 digits) SNFS difficulty: 171 digits. Divisors found: Sat Jun 4 20:42:51 2022 p55 factor: 6668985609266987188266618505247159292650353589056504049 Sat Jun 4 20:42:51 2022 p105 factor: 292748089441205074245541733698399558626714286087892269266030671980959272462681994753721033193028496143421 Sat Jun 4 20:42:51 2022 elapsed time 00:11:53 (Msieve 1.54 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.335). Factorization parameters were as follows: # # N = 19x10^170+26 = 21(169)4 # n: 1952332795623801481031626246568461204835080947521683158981650582168335718432557233462146364002058890486642105353097010135799974193093873255948014692453171211629 m: 10000000000000000000000000000000000 deg: 5 c5: 19 c0: 26 skew: 1.06 # Murphy_E = 2.244e-10 type: snfs lss: 1 rlim: 5000000 alim: 5000000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 5000000/5000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved special-q in [100000, 8100000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1326712 hash collisions in 12583966 relations (12012171 unique) Msieve: matrix is 702744 x 702969 (245.2 MB) Sieving start time : 2022/06/04 19:55:31 Sieving end time : 2022/06/04 20:30:37 Total sieving time: 0hrs 35min 6secs. Total relation processing time: 0hrs 7min 23sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 26sec. Prototype def-par.txt line would be: snfs,171,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved) [ 0.154118] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204) [ 0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS)```

### ECM

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

## 19×10172+269

### c166

name 名前 Bob Backstrom June 3, 2022 10:50:29 UTC 2022 年 6 月 3 日 (金) 19 時 50 分 29 秒 (日本時間) `5484667669263916608110622629288483300601414016605148902087885968332221677796789367919763122399365441270669330945020363416389099182593997244849363025130227660472283001<166>` ```1913721032639483370242814103205965232440060842194852404500173987<64> 2865970314230823718381143082048388722507500876329651795887253926427350537020820075101995700690182639923<103>``` ```Number: n N=5484667669263916608110622629288483300601414016605148902087885968332221677796789367919763122399365441270669330945020363416389099182593997244849363025130227660472283001 ( 166 digits) SNFS difficulty: 172 digits. Divisors found: Fri Jun 3 20:46:42 2022 p64 factor: 1913721032639483370242814103205965232440060842194852404500173987 Fri Jun 3 20:46:42 2022 p103 factor: 2865970314230823718381143082048388722507500876329651795887253926427350537020820075101995700690182639923 Fri Jun 3 20:46:42 2022 elapsed time 00:17:37 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.297). Factorization parameters were as follows: # # N = 19x10^172+26 = 21(171)4 # n: 5484667669263916608110622629288483300601414016605148902087885968332221677796789367919763122399365441270669330945020363416389099182593997244849363025130227660472283001 m: 10000000000000000000000000000000000 deg: 5 c5: 950 c0: 13 skew: 0.42 # Murphy_E = 1.464e-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, 8250000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1470599 hash collisions in 11844827 relations (11023528 unique) Msieve: matrix is 928815 x 929040 (322.3 MB) Sieving start time : 2022/06/03 19:32:59 Sieving end time : 2022/06/03 20:28:48 Total sieving time: 0hrs 55min 49secs. Total relation processing time: 0hrs 13min 21sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 10sec. 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) ---------- [ 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)

## 19×10173+269

### c156

name 名前 Bob Backstrom June 5, 2022 12:29:03 UTC 2022 年 6 月 5 日 (日) 21 時 29 分 3 秒 (日本時間) `275362454215341850090338301756843137855406817338938631545965260596509701011088966340099461268229304287902079244150352735823632211183699054315194645619777473<156>` ```448074596549348886446163336169119292052413<42> 377176790603071549806015391961650846914044368598922941<54> 1629331450030948322499361258460631185726950503254472870639481<61>``` ```Number: n N=275362454215341850090338301756843137855406817338938631545965260596509701011088966340099461268229304287902079244150352735823632211183699054315194645619777473 ( 156 digits) SNFS difficulty: 173 digits. Divisors found: Sun Jun 5 22:09:48 2022 found factor: 1629331450030948322499361258460631185726950503254472870639481 Sun Jun 5 22:10:56 2022 found factor: 1629331450030948322499361258460631185726950503254472870639481 Sun Jun 5 22:13:14 2022 found factor: 1629331450030948322499361258460631185726950503254472870639481 Sun Jun 5 22:16:39 2022 p42 factor: 448074596549348886446163336169119292052413 Sun Jun 5 22:16:39 2022 p54 factor: 377176790603071549806015391961650846914044368598922941 Sun Jun 5 22:16:39 2022 p61 factor: 1629331450030948322499361258460631185726950503254472870639481 Sun Jun 5 22:16:39 2022 elapsed time 00:23:41 (Msieve 1.54 - dependency 7) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.347). Factorization parameters were as follows: # # N = 19x10^173+26 = 21(172)4 # n: 275362454215341850090338301756843137855406817338938631545965260596509701011088966340099461268229304287902079244150352735823632211183699054315194645619777473 m: 10000000000000000000000000000000000 deg: 5 c5: 9500 c0: 13 skew: 0.27 # Murphy_E = 1.302e-10 type: snfs lss: 1 rlim: 5600000 alim: 5600000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 5600000/5600000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved special-q in [100000, 15600000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1624860 hash collisions in 12696096 relations (11758787 unique) Msieve: matrix is 883162 x 883389 (306.1 MB) Sieving start time : 2022/06/05 20:50:45 Sieving end time : 2022/06/05 21:52:43 Total sieving time: 1hrs 1min 58secs. Total relation processing time: 0hrs 12min 23sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 8min 0sec. Prototype def-par.txt line would be: snfs,173,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.119995] 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)

## 19×10174+269

### c129

name 名前 Eric Jeancolas June 10, 2022 08:27:04 UTC 2022 年 6 月 10 日 (金) 17 時 27 分 4 秒 (日本時間) `292708269009907591808535900339276084774183800265848565962416442761569167880975149375133126978713984147720607605310874445815118351<129>` ```11168259015791007396673180499878879037178279833<47> 26208943452694101371400342685743376967167039273588534490412548294226320385767401447<83>``` ```292708269009907591808535900339276084774183800265848565962416442761569167880975149375133126978713984147720607605310874445815118351=11168259015791007396673180499878879037178279833*26208943452694101371400342685743376967167039273588534490412548294226320385767401447 cado polynomial n: 292708269009907591808535900339276084774183800265848565962416442761569167880975149375133126978713984147720607605310874445815118351 skew: 0.84 type: snfs c0: 65 c5: 152 Y0: 50000000000000000000000000000000000 Y1: -1 # f(x) = 152*x^5+65 # g(x) = -x+50000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 5900000 tasks.lim1 = 5900000 tasks.lpb0 = 28 tasks.lpb1 = 28 tasks.sieve.mfb0 = 52 tasks.sieve.mfb1 = 52 tasks.sieve.lambda0 = 2.5 tasks.sieve.lambda1 = 2.5 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Filtering - Merging: Merged matrix has 824313 rows and total weight 140667746 (170.6 entries per row on average) Info:Square Root: Factors: 11168259015791007396673180499878879037178279833 26208943452694101371400342685743376967167039273588534490412548294226320385767401447 Info:Square Root: Total cpu/real time for sqrt: 181.44/57.1653 Info:Filtering - Singleton removal: Total cpu/real time for purge: 143.66/135.708 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 22412437 Info:Lattice Sieving: Average J: 1893.87 for 967705 special-q, max bucket fill -bkmult 1.0,1s:1.168290 Info:Lattice Sieving: Total time: 148767s Info:Linear Algebra: Total cpu/real time for bwc: 10496/2702.38 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 6607.47, WCT time 1693.23, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (25856 iterations) Info:Linear Algebra: Lingen CPU time 143.77, WCT time 36.55 Info:Linear Algebra: Mksol: CPU time 3614.78, WCT time 924.9, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13056 iterations) Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 89.9/100.465 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 100.4s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 209.97/179.398 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 161.5s Info:Filtering - Merging: Total cpu/real time for merge: 198.42/54.937 Info:Filtering - Merging: Total cpu/real time for replay: 27.7/23.2904 Info:Generate Factor Base: Total cpu/real time for makefb: 2.52/1.37158 Info:Quadratic Characters: Total cpu/real time for characters: 26.48/10.5144 Info:Square Root: Total cpu/real time for sqrt: 181.44/57.1653 Info:Generate Free Relations: Total cpu/real time for freerel: 118.35/32.072 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 287472/78033 Info:root: Cleaning up computation data in /tmp/cado.ypm4y7tw 11168259015791007396673180499878879037178279833 26208943452694101371400342685743376967167039273588534490412548294226320385767401447``` `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)

## 19×10176+269

### c103

name 名前 Eric Jeancolas May 30, 2022 08:57:25 UTC 2022 年 5 月 30 日 (月) 17 時 57 分 25 秒 (日本時間) `7210097708491676685740109885399642201076023964418942858883776623380596113835553149753944164038282950363<103>` ```14300838623640566685309797210067217398373<41> 504173069722830073057407952703655450661624298906219202439149631<63>``` ```7210097708491676685740109885399642201076023964418942858883776623380596113835553149753944164038282950363=14300838623640566685309797210067217398373*504173069722830073057407952703655450661624298906219202439149631 cado polynomial n: 7210097708491676685740109885399642201076023964418942858883776623380596113835553149753944164038282950363 skew: 3965.355 c0: -12223574692990594222534 c1: 13109112611693883473 c2: -2242316651219404 c3: 1896268082463 c4: 267802690 c5: 21120 Y0: -57919223232533806620 Y1: 211621293361681 # MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 3.987e-06 # f(x) = 21120*x^5+267802690*x^4+1896268082463*x^3-2242316651219404*x^2+13109112611693883473*x-12223574692990594222534 # g(x) = 211621293361681*x-57919223232533806620 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: 504173069722830073057407952703655450661624298906219202439149631 14300838623640566685309797210067217398373 Info:Square Root: Total cpu/real time for sqrt: 47.19/36.3001 Info:Quadratic Characters: Total cpu/real time for characters: 6.76/5.60398 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 39.77/65.7074 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 56.599999999999994s Info:Square Root: Total cpu/real time for sqrt: 47.19/36.3001 Info:Linear Algebra: Total cpu/real time for bwc: 551.34/543.48 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 242.68, WCT time 247.98, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (5760 iterations) Info:Linear Algebra: Lingen CPU time 159.32, WCT time 140.22 Info:Linear Algebra: Mksol: CPU time 135.13, WCT time 141.57, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (2944 iterations) Info:Filtering - Singleton removal: Total cpu/real time for purge: 17.9/28.3597 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 4595390 Info:Lattice Sieving: Average J: 1893.34 for 33688 special-q, max bucket fill -bkmult 1.0,1s:1.288670 Info:Lattice Sieving: Total time: 5333.09s Info:Generate Factor Base: Total cpu/real time for makefb: 1.52/0.738987 Info:Generate Free Relations: Total cpu/real time for freerel: 62.9/23.2134 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 17.65/29.7103 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 29.5s Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 135.52 Info:Polynomial Selection (root optimized): Rootsieve time: 134.87 Info:Filtering - Merging: Merged matrix has 183351 rows and total weight 26753239 (145.9 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 25.86/21.2869 Info:Filtering - Merging: Total cpu/real time for replay: 5.99/6.80284 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): 9447/28.920/36.276/48.020/1.063 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 7094/28.920/32.231/36.800/0.862 Info:Polynomial Selection (size optimized): Total time: 521.54 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 7647.78/3847.12 Info:root: Cleaning up computation data in /tmp/cado.k45tfcj2 504173069722830073057407952703655450661624298906219202439149631 14300838623640566685309797210067217398373``` `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)

## 19×10177+269

### c174

name 名前 Bob Backstrom June 4, 2022 23:41:20 UTC 2022 年 6 月 5 日 (日) 8 時 41 分 20 秒 (日本時間) `348253235089262802888668939477253565013380255874482202426775175043073426445250925620440631987976098830602294805528061879101140071116976428754719747791341324828622750100810147<174>` ```24168231753386009896775207672971565248134426148873<50> 14409545499350482652494241884634458377009442902121192121730544508976841973609450875982369728385989585071158512579943401041739<125>``` ```Number: n N=348253235089262802888668939477253565013380255874482202426775175043073426445250925620440631987976098830602294805528061879101140071116976428754719747791341324828622750100810147 ( 174 digits) SNFS difficulty: 177 digits. Divisors found: Sun Jun 5 09:36:36 2022 p50 factor: 24168231753386009896775207672971565248134426148873 Sun Jun 5 09:36:36 2022 p125 factor: 14409545499350482652494241884634458377009442902121192121730544508976841973609450875982369728385989585071158512579943401041739 Sun Jun 5 09:36:36 2022 elapsed time 00:22:59 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.307). Factorization parameters were as follows: # # N = 19x10^177+26 = 21(176)4 # n: 348253235089262802888668939477253565013380255874482202426775175043073426445250925620440631987976098830602294805528061879101140071116976428754719747791341324828622750100810147 m: 100000000000000000000000000000000000 deg: 5 c5: 950 c0: 13 skew: 0.42 # Murphy_E = 9.241e-11 type: snfs lss: 1 rlim: 6500000 alim: 6500000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 6500000/6500000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved special-q in [100000, 23250000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 4497414 hash collisions in 29562309 relations (26465343 unique) Msieve: matrix is 976087 x 976313 (332.0 MB) Sieving start time : 2022/06/05 07:05:56 Sieving end time : 2022/06/05 09:13:07 Total sieving time: 2hrs 7min 11secs. Total relation processing time: 0hrs 15min 6sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 3sec. Prototype def-par.txt line would be: snfs,177,5,0,0,0,0,0,0,0,0,6500000,6500000,28,28,53,53,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.119995] 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)

## 19×10180+269

### c140

name 名前 Erik Branger June 10, 2022 16:26:52 UTC 2022 年 6 月 11 日 (土) 1 時 26 分 52 秒 (日本時間) `17551556137748988050194880537354139287576737463605566685224702370190738357157126947055753767659696001910383862138908876330058854661803165803<140>` ```102893172908010902114914397295941688401268160995759340741536871<63> 170580376148381807303999615555179285580585733337530311240100357402167512940893<78>``` ```Number: 21114_180 N = 17551556137748988050194880537354139287576737463605566685224702370190738357157126947055753767659696001910383862138908876330058854661803165803 (140 digits) SNFS difficulty: 182 digits. Divisors found: r1=102893172908010902114914397295941688401268160995759340741536871 (pp63) r2=170580376148381807303999615555179285580585733337530311240100357402167512940893 (pp78) Version: Msieve v. 1.52 (SVN unknown) Total time: 8.96 hours. Factorization parameters were as follows: n: 17551556137748988050194880537354139287576737463605566685224702370190738357157126947055753767659696001910383862138908876330058854661803165803 m: 1000000000000000000000000000000000000000000000000000000000000 deg: 3 c3: 19 c0: 26 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: 1000000000 maxb: 1000000000 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: 15272948 Relations: 4277464 relations Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G rational relations. Total batch smoothness checking time: 1.40 hours. Total relation processing time: 0.25 hours. Pruned matrix : 3354249 x 3354497 Matrix solve time: 7.07 hours. time per square root: 0.24 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: 8.96 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 11:34:21 UTC 2022 年 6 月 9 日 (木) 20 時 34 分 21 秒 (日本時間)

## 19×10182+269

### c168

name 名前 Ignacio Santos June 9, 2022 10:28:30 UTC 2022 年 6 月 9 日 (木) 19 時 28 分 30 秒 (日本時間) `876269068220491209891609653184095526931739883845076113203238370628665244411570718334848228923901308718897640328015969041079469540816663667706356361297896681536004555241<168>` `5292147628804841130436226995088699355321857<43>` `165579105059543576247126530186719179125645657300648301818655026522327987660210051415316165542452323755061897034999337884302313<126>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4006433763 Step 1 took 4875ms ********** Factor found in step 2: 5292147628804841130436226995088699355321857 Found prime factor of 43 digits: 5292147628804841130436226995088699355321857 Composite cofactor 165579105059543576247126530186719179125645657300648301818655026522327987660210051415316165542452323755061897034999337884302313 has 126 digits ``` `GMP-ECM`

### c126

name 名前 Florian Baur June 10, 2022 05:45:08 UTC 2022 年 6 月 10 日 (金) 14 時 45 分 8 秒 (日本時間) `165579105059543576247126530186719179125645657300648301818655026522327987660210051415316165542452323755061897034999337884302313<126>` ```399681622050419875871188031963065661030641067<45> 414277504705121907966208082784143209448526320686899775938948147544113264253182139<81>``` ```Thu Jun 9 22:31:15 2022 Msieve v. 1.54 (SVN 1044) Thu Jun 9 22:31:15 2022 random seeds: 0e6abe84 c2c77eb3 Thu Jun 9 22:31:15 2022 factoring 165579105059543576247126530186719179125645657300648301818655026522327987660210051415316165542452323755061897034999337884302313 (126 digits) Thu Jun 9 22:31:15 2022 searching for 15-digit factors Thu Jun 9 22:31:15 2022 commencing number field sieve (126-digit input) Thu Jun 9 22:31:15 2022 R0: -3407899700170092836102167 Thu Jun 9 22:31:15 2022 R1: 12997297245242267 Thu Jun 9 22:31:15 2022 A0: -211768282379056153050270282780 Thu Jun 9 22:31:15 2022 A1: -11331357917629384191633372 Thu Jun 9 22:31:15 2022 A2: -122072564727747426427 Thu Jun 9 22:31:15 2022 A3: 759961752622078 Thu Jun 9 22:31:15 2022 A4: 757422588 Thu Jun 9 22:31:15 2022 A5: 4680 Thu Jun 9 22:31:15 2022 skew 1.00, size 4.313e-12, alpha -6.067, combined = 3.383e-12 rroots = 3 Thu Jun 9 22:31:15 2022 Thu Jun 9 22:31:15 2022 commencing square root phase Thu Jun 9 22:31:15 2022 reading relations for dependency 1 Thu Jun 9 22:31:16 2022 read 424339 cycles Thu Jun 9 22:31:16 2022 cycles contain 1665132 unique relations Thu Jun 9 22:31:23 2022 read 1665132 relations Thu Jun 9 22:31:27 2022 multiplying 1665132 relations Thu Jun 9 22:32:25 2022 multiply complete, coefficients have about 71.25 million bits Thu Jun 9 22:32:25 2022 initial square root is modulo 130211 Thu Jun 9 22:33:39 2022 sqrtTime: 144 Thu Jun 9 22:33:39 2022 p45 factor: 399681622050419875871188031963065661030641067 Thu Jun 9 22:33:39 2022 p81 factor: 414277504705121907966208082784143209448526320686899775938948147544113264253182139 Thu Jun 9 22:33:39 2022 elapsed time 00:02:24``` `CADO (poly select & sieving), msieve (post-processing)` `Epyc 7401P, 128 GB, Ubuntu`

### 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 14:16:53 UTC 2022 年 6 月 9 日 (木) 23 時 16 分 53 秒 (日本時間)

## 19×10183+269

### c144

name 名前 Bob Backstrom June 10, 2022 12:31:44 UTC 2022 年 6 月 10 日 (金) 21 時 31 分 44 秒 (日本時間) `345979626333848643604861014691965953187772206684302492761660808022248227771491826136917122675773184934261265105191206017826400029715728319029023<144>` ```476082678666360283662324703047879651344489331182141875689604649<63> 726721726787106813408216641449251951450822863644636579532937664831162012337771527<81>``` ```Number: n N=345979626333848643604861014691965953187772206684302492761660808022248227771491826136917122675773184934261265105191206017826400029715728319029023 ( 144 digits) SNFS difficulty: 183 digits. Divisors found: Fri Jun 10 20:40:09 2022 p63 factor: 476082678666360283662324703047879651344489331182141875689604649 Fri Jun 10 20:40:09 2022 p81 factor: 726721726787106813408216641449251951450822863644636579532937664831162012337771527 Fri Jun 10 20:40:09 2022 elapsed time 00:27:09 (Msieve 1.54 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.353). Factorization parameters were as follows: # # N = 19x10^183+26 = 21(182)4 # n: 345979626333848643604861014691965953187772206684302492761660808022248227771491826136917122675773184934261265105191206017826400029715728319029023 m: 1000000000000000000000000000000000000 deg: 5 c5: 9500 c0: 13 skew: 0.27 # Murphy_E = 5.157e-11 type: snfs lss: 1 rlim: 8200000 alim: 8200000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 8200000/8200000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved special-q in [100000, 16900000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3582764 hash collisions in 29293312 relations (27368663 unique) Msieve: matrix is 1034630 x 1034856 (353.9 MB) Sieving start time : 2022/06/10 16:13:25 Sieving end time : 2022/06/10 20:12:31 Total sieving time: 3hrs 59min 6secs. Total relation processing time: 0hrs 17min 8sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 2min 40sec. Prototype def-par.txt line would be: snfs,183,5,0,0,0,0,0,0,0,0,8200000,8200000,28,28,53,53,2.5,2.5,100000 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 8, 2022 19:31:00 UTC 2022 年 6 月 9 日 (木) 4 時 31 分 0 秒 (日本時間)

## 19×10184+269

### c184

name 名前 Bob Backstrom June 10, 2022 22:42:32 UTC 2022 年 6 月 11 日 (土) 7 時 42 分 32 秒 (日本時間) `1172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506173<184>` ```5453992657506094977852415596700490754371730161118256112204848613<64> 215042369842341289894066835270530957410295491745755014119013445757769613881065613046277508054135964657494908495433848121<120>``` ```Number: n N=1172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506173 ( 184 digits) SNFS difficulty: 185 digits. Divisors found: Sat Jun 11 08:38:45 2022 p64 factor: 5453992657506094977852415596700490754371730161118256112204848613 Sat Jun 11 08:38:45 2022 p120 factor: 215042369842341289894066835270530957410295491745755014119013445757769613881065613046277508054135964657494908495433848121 Sat Jun 11 08:38:45 2022 elapsed time 00:27:03 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.339). Factorization parameters were as follows: # # N = 19x10^184+26 = 21(183)4 # n: 1172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506173 m: 5000000000000000000000000000000000000 deg: 5 c5: 152 c0: 65 skew: 0.84 # Murphy_E = 4.993e-11 type: snfs lss: 1 rlim: 8700000 alim: 8700000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 Factor base limits: 8700000/8700000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 54/54 Sieved special-q in [100000, 17150000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3187599 hash collisions in 28553921 relations (27055341 unique) Msieve: matrix is 1066190 x 1066416 (369.8 MB) Sieving start time : 2022/06/11 04:41:15 Sieving end time : 2022/06/11 08:11:13 Total sieving time: 3hrs 29min 58secs. Total relation processing time: 0hrs 18min 43sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 14sec. Prototype def-par.txt line would be: snfs,185,5,0,0,0,0,0,0,0,0,8700000,8700000,28,28,54,54,2.5,2.5,100000 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 8, 2022 19:47:05 UTC 2022 年 6 月 9 日 (木) 4 時 47 分 5 秒 (日本時間)

## 19×10185+269

### c174

name 名前 Bob Backstrom June 12, 2022 04:40:33 UTC 2022 年 6 月 12 日 (日) 13 時 40 分 33 秒 (日本時間) `240037967533685904922007131725261445862373793032015653648368724410543825964121223450981034900538608134478749822568723472391107080831712957816147296564359524712639945963036567<174>` ```2885487429188028371479782492138228683163421613762903<52> 83188013611007902331114725398963636186040402697607277181401437062259774349626746604630102179336048172168769704346503959489<122>``` ```Number: n N=240037967533685904922007131725261445862373793032015653648368724410543825964121223450981034900538608134478749822568723472391107080831712957816147296564359524712639945963036567 ( 174 digits) SNFS difficulty: 186 digits. Divisors found: Sun Jun 12 14:36:48 2022 p52 factor: 2885487429188028371479782492138228683163421613762903 Sun Jun 12 14:36:48 2022 p122 factor: 83188013611007902331114725398963636186040402697607277181401437062259774349626746604630102179336048172168769704346503959489 Sun Jun 12 14:36:48 2022 elapsed time 00:26:55 (Msieve 1.54 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.320). Factorization parameters were as follows: # # N = 19x10^185+26 = 21(184)4 # n: 240037967533685904922007131725261445862373793032015653648368724410543825964121223450981034900538608134478749822568723472391107080831712957816147296564359524712639945963036567 m: 10000000000000000000000000000000000000 deg: 5 c5: 19 c0: 26 skew: 1.06 # Murphy_E = 5.58e-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, 17250000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 2967808 hash collisions in 28822377 relations (27634869 unique) Msieve: matrix is 1039766 x 1039994 (358.6 MB) Sieving start time : 2022/06/12 10:02:48 Sieving end time : 2022/06/12 14:09:24 Total sieving time: 4hrs 6min 36secs. Total relation processing time: 0hrs 17min 39sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 2min 8sec. 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) ---------- [ 0.117895] 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 10, 2022 08:36:52 UTC 2022 年 6 月 10 日 (金) 17 時 36 分 52 秒 (日本時間)

## 19×10188+269

### c126

name 名前 Ignacio Santos June 5, 2022 09:29:59 UTC 2022 年 6 月 5 日 (日) 18 時 29 分 59 秒 (日本時間) `360745133823561312972954800711571599860639377011247823332219096853717570848279861843875480076636362612263288622361958557322903<126>` ```142271101309504835236502495355824771437331<42> 2535617778334163241394280768067911374643019472849682300655468161547695631729618469613<85>``` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1749242446 Step 1 took 17797ms Step 2 took 9375ms ********** Factor found in step 2: 142271101309504835236502495355824771437331 Found prime factor of 42 digits: 142271101309504835236502495355824771437331 Prime cofactor 2535617778334163241394280768067911374643019472849682300655468161547695631729618469613 has 85 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 11:09:14 UTC 2022 年 6 月 3 日 (金) 20 時 9 分 14 秒 (日本時間)

## 19×10190+269

### c172

name 名前 Bob Backstrom June 22, 2022 16:40:43 UTC 2022 年 6 月 23 日 (木) 1 時 40 分 43 秒 (日本時間) `2894291429561150978169261068725806878880195830678029972087479253178839923387257596418926362269957041207124101762184106332583626478345930413409099112130102722189900568144647<172>` ```190970370990527083306184274050098333663595039<45> 15155709310030715444852277376470296911259718855945558577122219596043881415066228783367230977101281352550923559282997948525941273<128>``` ```Number: n N=2894291429561150978169261068725806878880195830678029972087479253178839923387257596418926362269957041207124101762184106332583626478345930413409099112130102722189900568144647 ( 172 digits) SNFS difficulty: 191 digits. Divisors found: Thu Jun 23 02:36:37 2022 p45 factor: 190970370990527083306184274050098333663595039 Thu Jun 23 02:36:37 2022 p128 factor: 15155709310030715444852277376470296911259718855945558577122219596043881415066228783367230977101281352550923559282997948525941273 Thu Jun 23 02:36:37 2022 elapsed time 00:37:04 (Msieve 1.54 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.355). Factorization parameters were as follows: # # N = 19x10^190+26 = 21(189)4 # n: 2894291429561150978169261068725806878880195830678029972087479253178839923387257596418926362269957041207124101762184106332583626478345930413409099112130102722189900568144647 m: 100000000000000000000000000000000000000 deg: 5 c5: 19 c0: 26 skew: 1.06 # Murphy_E = 3.478e-11 type: snfs lss: 1 rlim: 10800000 alim: 10800000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 Factor base limits: 10800000/10800000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 54/54 Sieved special-q in [100000, 18200000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3252308 hash collisions in 28540211 relations (26954951 unique) Msieve: matrix is 1220958 x 1221184 (425.4 MB) Sieving start time : 2022/06/22 21:42:40 Sieving end time : 2022/06/23 01:59:04 Total sieving time: 4hrs 16min 24secs. Total relation processing time: 0hrs 25min 44sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 4min 7sec. Prototype def-par.txt line would be: snfs,191,5,0,0,0,0,0,0,0,0,10800000,10800000,28,28,54,54,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.118494] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16197192K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530044K reserved, 0K cma-reserved) [ 0.153548] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.34 BogoMIPS (lpj=12798684) [ 0.152038] smpboot: Total of 16 processors activated (102389.47 BogoMIPS)```

### ECM

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

## 19×10192+269

### c127

name 名前 Ignacio Santos June 3, 2022 11:10:09 UTC 2022 年 6 月 3 日 (金) 20 時 10 分 9 秒 (日本時間) `1802108389766839001826246332089443819464006363872705717890860516598364402493805149756003536290583641767595181855691892770413463<127>` ```10473727466630324893363090453960864648801<41> 172059889424125423426682022813479506832912887032991687453166327405219271525727154339063<87>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1693708126 Step 1 took 4859ms Step 2 took 2906ms ********** Factor found in step 2: 10473727466630324893363090453960864648801 Found prime factor of 41 digits: 10473727466630324893363090453960864648801 Prime cofactor 172059889424125423426682022813479506832912887032991687453166327405219271525727154339063 has 87 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)

## 19×10193+269

### c166

name 名前 Bob Backstrom June 30, 2022 08:52:38 UTC 2022 年 6 月 30 日 (木) 17 時 52 分 38 秒 (日本時間) `3470929670310074271350709118000365156918907196198113560823902143279772675682079867182889109393083336731936228491797850034937707259105323347586355976855243133448117221<166>` ```5122934441663262150845639134782797441<37> 14460707409884533762089624245951519323347881951986941150077769827<65> 46853007843079697298463860118182356610191777837379452749489681303<65>``` ```Number: n N=3470929670310074271350709118000365156918907196198113560823902143279772675682079867182889109393083336731936228491797850034937707259105323347586355976855243133448117221 ( 166 digits) SNFS difficulty: 193 digits. Divisors found: Thu Jun 30 18:40:23 2022 found factor: 14460707409884533762089624245951519323347881951986941150077769827 Thu Jun 30 18:42:53 2022 found factor: 14460707409884533762089624245951519323347881951986941150077769827 Thu Jun 30 18:45:22 2022 p37 factor: 5122934441663262150845639134782797441 Thu Jun 30 18:45:22 2022 p65 factor: 14460707409884533762089624245951519323347881951986941150077769827 Thu Jun 30 18:45:22 2022 p65 factor: 46853007843079697298463860118182356610191777837379452749489681303 Thu Jun 30 18:45:22 2022 elapsed time 01:09:09 (Msieve 1.54 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.342). Factorization parameters were as follows: # # N = 19x10^193+26 = 21(192)4 # n: 3470929670310074271350709118000365156918907196198113560823902143279772675682079867182889109393083336731936228491797850034937707259105323347586355976855243133448117221 m: 100000000000000000000000000000000000000 deg: 5 c5: 9500 c0: 13 skew: 0.27 # Murphy_E = 2.007e-11 type: snfs lss: 1 rlim: 12000000 alim: 12000000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 12000000/12000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved special-q in [100000, 26000000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3464318 hash collisions in 27940967 relations (26015751 unique) Msieve: matrix is 1642518 x 1642745 (572.1 MB) Sieving start time : 2022/06/30 11:03:18 Sieving end time : 2022/06/30 17:35:42 Total sieving time: 6hrs 32min 24secs. Total relation processing time: 0hrs 53min 40sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 7min 28sec. Prototype def-par.txt line would be: snfs,193,5,0,0,0,0,0,0,0,0,12000000,12000000,28,28,55,55,2.5,2.5,100000 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)

## 19×10195+269

### c155

composite cofactor 合成数の残り `16393970929366804912632491684062377118346796721162887914679229444909211562844844622673668196049844941393163513814098393010847162736063376524275996875967359<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)
403e62350Ignacio SantosJuly 26, 2022 09:39:04 UTC 2022 年 7 月 26 日 (火) 18 時 39 分 4 秒 (日本時間)

## 19×10196+269

### c104

name 名前 Eric Jeancolas May 30, 2022 10:50:57 UTC 2022 年 5 月 30 日 (月) 19 時 50 分 57 秒 (日本時間) `51686410673637109688928724212083547784303032178098878283372538035012855968896170393798756916380583260989<104>` ```7064040989848268388006670675994103686581<40> 7316833346227129495639904612732747297108718522739259150849444969<64>``` ```51686410673637109688928724212083547784303032178098878283372538035012855968896170393798756916380583260989=7064040989848268388006670675994103686581*7316833346227129495639904612732747297108718522739259150849444969 cado polynomial n: 51686410673637109688928724212083547784303032178098878283372538035012855968896170393798756916380583260989 skew: 34078.766 c0: 17678049412179923268329058 c1: -814245312474921057821 c2: -53291278448680999 c3: 124869280179 c4: 18312938 c5: 420 Y0: -165159610465591985479 Y1: 5304029957131 # MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 3.601e-06 # f(x) = 420*x^5+18312938*x^4+124869280179*x^3-53291278448680999*x^2-814245312474921057821*x+17678049412179923268329058 # g(x) = 5304029957131*x-165159610465591985479 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: 7064040989848268388006670675994103686581 7316833346227129495639904612732747297108718522739259150849444969 Info:Square Root: Total cpu/real time for sqrt: 56.14/18.1896 Info:Quadratic Characters: Total cpu/real time for characters: 8.43/5.49162 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 45.84/77.1586 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 63.3s Info:Square Root: Total cpu/real time for sqrt: 56.14/18.1896 Info:Linear Algebra: Total cpu/real time for bwc: 549.77/303.08 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 320.22, WCT time 177.07, iteration CPU time 0.01, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (6912 iterations) Info:Linear Algebra: Lingen CPU time 33.1, WCT time 12.12 Info:Linear Algebra: Mksol: CPU time 180.1, WCT time 103.33, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3456 iterations) Info:Filtering - Singleton removal: Total cpu/real time for purge: 22.19/40.1043 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 4663553 Info:Lattice Sieving: Average J: 1937.06 for 41102 special-q, max bucket fill -bkmult 1.0,1s:1.295300 Info:Lattice Sieving: Total time: 8112.19s Info:Generate Factor Base: Total cpu/real time for makefb: 1.5/1.37208 Info:Generate Free Relations: Total cpu/real time for freerel: 62/28.8702 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 18.04/31.1086 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 30.7s Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 141.78 Info:Polynomial Selection (root optimized): Rootsieve time: 141.14 Info:Filtering - Merging: Merged matrix has 219263 rows and total weight 31911005 (145.5 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 29.95/16.5736 Info:Filtering - Merging: Total cpu/real time for replay: 7.28/6.84048 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): 11339/27.950/36.590/42.260/0.969 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 7320/28.030/32.505/37.140/0.860 Info:Polynomial Selection (size optimized): Total time: 526.26 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 8771.49/4985.07 Info:root: Cleaning up computation data in /tmp/cado.c80brhtm 7064040989848268388006670675994103686581 7316833346227129495639904612732747297108718522739259150849444969``` `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)

## 19×10197+269

### c198

name 名前 Bob Backstrom July 27, 2022 00:08:12 UTC 2022 年 7 月 27 日 (水) 9 時 8 分 12 秒 (日本時間) `105555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557<198>` ```4770385121516034639014602215828259001933<40> 22127260769673426652442210576738594765514665418759851101792497693756830839586335380608774152545758791122857283204965489416737241518341144359819184861535201529<158>``` ```GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 105555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557 (198 digits) Using B1=21310000, B2=96186180106, polynomial Dickson(12), sigma=1:3255937532 Step 1 took 65470ms Step 2 took 23436ms ********** Factor found in step 2: 4770385121516034639014602215828259001933 Found prime factor of 40 digits: 4770385121516034639014602215828259001933 Prime cofactor 22127260769673426652442210576738594765514665418759851101792497693756830839586335380608774152545758791122857283204965489416737241518341144359819184861535201529 has 158 digits```

### ECM

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

## 19×10200+269

### c191

name 名前 Bob Backstrom October 29, 2022 14:14:09 UTC 2022 年 10 月 29 日 (土) 23 時 14 分 9 秒 (日本時間) `79130036324379130269241558681702254160660829140101727470672603332172209999376172944476377037424047329289311531275461466154119498208862432979013444371339035906703227978617593865783076958716707<191>` ```594049865992807471573445259210936014810742849957946761371817336824173672257667<78> 133204366929925721866800787531724254643548082200607034114478592521887164112361067251747989196341731498273905617121<114>``` ```Number: n N=79130036324379130269241558681702254160660829140101727470672603332172209999376172944476377037424047329289311531275461466154119498208862432979013444371339035906703227978617593865783076958716707 ( 191 digits) SNFS difficulty: 201 digits. Divisors found: Sat Oct 29 01:17:30 2022 p78 factor: 594049865992807471573445259210936014810742849957946761371817336824173672257667 Sat Oct 29 01:17:30 2022 p114 factor: 133204366929925721866800787531724254643548082200607034114478592521887164112361067251747989196341731498273905617121 Sat Oct 29 01:17:30 2022 elapsed time 01:36:47 (Msieve 1.54 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.352). Factorization parameters were as follows: # # N = 19x10^200+26 = 21(199)4 # n: 79130036324379130269241558681702254160660829140101727470672603332172209999376172944476377037424047329289311531275461466154119498208862432979013444371339035906703227978617593865783076958716707 m: 10000000000000000000000000000000000000000 deg: 5 c5: 19 c0: 26 skew: 1.06 # Murphy_E = 1.335e-11 type: snfs lss: 1 rlim: 15800000 alim: 15800000 lpbr: 27 lpba: 27 mfbr: 54 mfba: 54 rlambda: 2.6 alambda: 2.6 Factor base limits: 15800000/15800000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 54/54 Sieved special-q in [100000, 27964513) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 2183469 hash collisions in 14615221 relations (13139901 unique) Msieve: matrix is 2128706 x 2128931 (744.3 MB) Sieving start time : 2022/10/28 13:38:03 Sieving end time : 2022/10/28 23:40:24 Total sieving time: 10hrs 2min 21secs. Total relation processing time: 1hrs 26min 39sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 5min 13sec. Prototype def-par.txt line would be: snfs,201,5,0,0,0,0,0,0,0,0,15800000,15800000,27,27,54,54,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ----------```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 8, 2022 16:13:20 UTC 2022 年 9 月 9 日 (金) 1 時 13 分 20 秒 (日本時間)

## 19×10202+269

### c171

name 名前 Dmitry Domanov August 27, 2022 22:09:51 UTC 2022 年 8 月 28 日 (日) 7 時 9 分 51 秒 (日本時間) `107060820800806062898870387517077832546499355172193931243793015371480056522687853252878117298707475208358305014656143484013346070478690268252348899239569611969481497683631<171>` `449010792126359806872820507133315820493<39>` `238437076966019114975134880766210701530492147180054098878400669535427112852212115686920514582483871972957147752837820171712635484267<132>` ```Resuming ECM residue saved by @f345dc7defbd with GMP-ECM 7.0.5-dev on Fri Aug 26 15:25:35 2022 Input number is 107060820800806062898870387517077832546499355172193931243793015371480056522687853252878117298707475208358305014656143484013346070478690268252348899239569611969481497683631 (171 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:391271478 Step 1 took 0ms Step 2 took 3960ms ********** Factor found in step 2: 449010792126359806872820507133315820493 Found prime factor of 39 digits: 449010792126359806872820507133315820493 Composite cofactor 238437076966019114975134880766210701530492147180054098878400669535427112852212115686920514582483871972957147752837820171712635484267 has 132 digits```

### c132

name 名前 Eric Jeancolas September 5, 2022 04:07:40 UTC 2022 年 9 月 5 日 (月) 13 時 7 分 40 秒 (日本時間) `238437076966019114975134880766210701530492147180054098878400669535427112852212115686920514582483871972957147752837820171712635484267<132>` ```333524311429988135622296279374102975555506213538961559265626469<63> 714901639234987856603829384248701710074525679228159813905387772396943<69>``` ```238437076966019114975134880766210701530492147180054098878400669535427112852212115686920514582483871972957147752837820171712635484267=333524311429988135622296279374102975555506213538961559265626469*714901639234987856603829384248701710074525679228159813905387772396943 cado polynomial n: 238437076966019114975134880766210701530492147180054098878400669535427112852212115686920514582483871972957147752837820171712635484267 skew: 199008.039 c0: 4101393083866218863077735155680 c1: 5168261321483793080464932 c2: -19639020542142496897 c3: -3965084503476597 c4: -5195494918 c5: 20400 Y0: -29876389676996097238371597 Y1: 2003296467686240539 # MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 4.488e-07 # f(x) = 20400*x^5-5195494918*x^4-3965084503476597*x^3-19639020542142496897*x^2+5168261321483793080464932*x+4101393083866218863077735155680 # g(x) = 2003296467686240539*x-29876389676996097238371597 cado parameters (extracts) tasks.lim0 = 13124945 tasks.lim1 = 44217255 tasks.lpb0 = 28 tasks.lpb1 = 28 tasks.sieve.mfb0 = 56 tasks.sieve.mfb1 = 56 tasks.I = 14 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 714901639234987856603829384248701710074525679228159813905387772396943 333524311429988135622296279374102975555506213538961559265626469 Info:Square Root: Total cpu/real time for sqrt: 2341.39/282.31 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 24397422 Info:Lattice Sieving: Average J: 7999.89 for 67018 special-q, max bucket fill -bkmult 1.0,1s:1.071650 Info:Lattice Sieving: Total time: 205157s Info:Generate Free Relations: Total cpu/real time for freerel: 333.03/29.6265 Info:Quadratic Characters: Total cpu/real time for characters: 72.83/18.5212 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 223.19/181.865 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 181.0s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 737.46/583.512 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 487.00000000000006s Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 38210.8 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38957/38.310/46.943/51.250/0.844 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30784/38.080/42.206/47.770/1.062 Info:Polynomial Selection (size optimized): Total time: 8141.53 Info:Filtering - Merging: Merged matrix has 1747659 rows and total weight 298221725 (170.6 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 485.45/58.4861 Info:Filtering - Merging: Total cpu/real time for replay: 62.05/50.0843 Info:Filtering - Singleton removal: Total cpu/real time for purge: 475.48/413.874 Info:Generate Factor Base: Total cpu/real time for makefb: 45.83/4.72973 Info:Linear Algebra: Total cpu/real time for bwc: 60438.4/11137.1 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 38879.12, WCT time 7168.47, iteration CPU time 0.12, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (54784 iterations) Info:Linear Algebra: Lingen CPU time 818.86, WCT time 71.47 Info:Linear Algebra: Mksol: CPU time 20462.78, WCT time 3816.38, iteration CPU time 0.12, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (27392 iterations) Info:Square Root: Total cpu/real time for sqrt: 2341.39/282.31 Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 9778.17 Info:Polynomial Selection (root optimized): Rootsieve time: 9774.32 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 465600/48954.8 Info:root: Cleaning up computation data in /tmp/cado.fxbz_c5v 714901639234987856603829384248701710074525679228159813905387772396943 333524311429988135622296279374102975555506213538961559265626469``` `cado-nfs-3.0.0` ```Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 27, 2022 22:09:45 UTC 2022 年 8 月 28 日 (日) 7 時 9 分 45 秒 (日本時間)
2350Ignacio SantosAugust 30, 2022 07:48:25 UTC 2022 年 8 月 30 日 (火) 16 時 48 分 25 秒 (日本時間)
4511e64480Ignacio SantosAugust 30, 2022 09:52:05 UTC 2022 年 8 月 30 日 (火) 18 時 52 分 5 秒 (日本時間)

## 19×10203+269

### c184

composite cofactor 合成数の残り `2225888041919994987821814100314308254492390901976819614861152717591812980065888266979352812817181592866808532887161066045097924021449264399183395486683875154079622258949202977525312589<184>`

### ECM

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

## 19×10204+269

### c171

composite cofactor 合成数の残り `795428027587119807422386613087741072215223301186640804209926295040500553449251373426314654785645639917086754621518038047809825421050197711464297070846346031474760380582779<171>`

### 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+269

### c175

name 名前 Dmitry Domanov August 27, 2022 22:10:44 UTC 2022 年 8 月 28 日 (日) 7 時 10 分 44 秒 (日本時間) `4102741619540433539782054062249388044548419136693815006740213602251916324098030310495344650378299789029256895977866475737550765134727956675304352833233030951981581429022707593<175>` `5227502493944672324391360773758275380369<40>` `784837811993946184361102917404452753057946691706087169492270881697096528049091356694468975332933500487705229549958884967311981546002297<135>` ```Input number is 4102741619540433539782054062249388044548419136693815006740213602251916324098030310495344650378299789029256895977866475737550765134727956675304352833233030951981581429022707593 (175 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2664745939 Step 1 took 0ms Step 2 took 4398ms ********** Factor found in step 2: 5227502493944672324391360773758275380369 Found prime factor of 40 digits: 5227502493944672324391360773758275380369 Composite cofactor 784837811993946184361102917404452753057946691706087169492270881697096528049091356694468975332933500487705229549958884967311981546002297 has 135 digits```

### c135

name 名前 Eric Jeancolas September 5, 2022 04:19:17 UTC 2022 年 9 月 5 日 (月) 13 時 19 分 17 秒 (日本時間) `784837811993946184361102917404452753057946691706087169492270881697096528049091356694468975332933500487705229549958884967311981546002297<135>` ```4290194069725090685310639730326474575164851219681078392120504429<64> 182937601245679180883877367490154275150056178713930618862002013922677693<72>``` ```784837811993946184361102917404452753057946691706087169492270881697096528049091356694468975332933500487705229549958884967311981546002297=4290194069725090685310639730326474575164851219681078392120504429*182937601245679180883877367490154275150056178713930618862002013922677693 cado polynomial n: 784837811993946184361102917404452753057946691706087169492270881697096528049091356694468975332933500487705229549958884967311981546002297 skew: 60103.405 c0: -136269919503611029103487795366 c1: -78366943322899999922462351 c2: 926191031529716890022 c3: 46905376245094369 c4: -109705836942 c5: -1703520 Y0: -128984561097649221434891616 Y1: 13763327165098981909 # MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.210e-07 # f(x) = -1703520*x^5-109705836942*x^4+46905376245094369*x^3+926191031529716890022*x^2-78366943322899999922462351*x-136269919503611029103487795366 # g(x) = 13763327165098981909*x-128984561097649221434891616 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: 4290194069725090685310639730326474575164851219681078392120504429 182937601245679180883877367490154275150056178713930618862002013922677693 Info:Square Root: Total cpu/real time for sqrt: 515.44/152.063 Info:Filtering - Singleton removal: Total cpu/real time for purge: 85.37/96.4809 Info:Filtering - Merging: Merged matrix has 1378877 rows and total weight 234873263 (170.3 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 381.41/105.179 Info:Filtering - Merging: Total cpu/real time for replay: 51.19/43.6051 Info:Generate Factor Base: Total cpu/real time for makefb: 15.25/4.21123 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 17013117 Info:Lattice Sieving: Average J: 3786.23 for 672061 special-q, max bucket fill -bkmult 1.0,1s:1.186960 Info:Lattice Sieving: Total time: 216893s Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 7252.41 Info:Polynomial Selection (root optimized): Rootsieve time: 7249.93 Info:Linear Algebra: Total cpu/real time for bwc: 29641.4/7641.16 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 18864.32, WCT time 4827.83, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (43264 iterations) Info:Linear Algebra: Lingen CPU time 265.76, WCT time 67.59 Info:Linear Algebra: Mksol: CPU time 10268.14, WCT time 2652.74, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (21760 iterations) 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): 54121/39.890/48.479/53.980/0.967 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 44022/38.170/43.330/49.170/1.089 Info:Polynomial Selection (size optimized): Total time: 11063.3 Info:Generate Free Relations: Total cpu/real time for freerel: 249.36/63.3188 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 193.66/164.706 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 152.3s Info:Square Root: Total cpu/real time for sqrt: 515.44/152.063 Info:Quadratic Characters: Total cpu/real time for characters: 46.86/20.7952 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 77.76/82.151 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 82.0s Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 466194/50494.6 Info:root: Cleaning up computation data in /tmp/cado.hf2m8yo8 4290194069725090685310639730326474575164851219681078392120504429 182937601245679180883877367490154275150056178713930618862002013922677693``` `cado-nfs-3.0.0` ```Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 27, 2022 22:10:24 UTC 2022 年 8 月 28 日 (日) 7 時 10 分 24 秒 (日本時間)
2350Ignacio SantosAugust 30, 2022 07:57:11 UTC 2022 年 8 月 30 日 (火) 16 時 57 分 11 秒 (日本時間)
4511e64480Ignacio SantosAugust 30, 2022 14:23:06 UTC 2022 年 8 月 30 日 (火) 23 時 23 分 6 秒 (日本時間)

## 19×10207+269

### c169

name 名前 Dmitry Domanov August 27, 2022 22:11:20 UTC 2022 年 8 月 28 日 (日) 7 時 11 分 20 秒 (日本時間) `1102108305584430838781100767104267014251100935276159001476332743661068052298630094277202059919175135134315682596409814719204225366350578377970592066387381169432588081259<169>` `4288419430845430965197703359888623629659863<43>` `256996388379659527403307511135482492118240961498417498923987353839775902090954951491973757390951574974879081211821962090878093<126>` ```Resuming ECM residue saved by @f345dc7defbd with GMP-ECM 7.0.5-dev on Fri Aug 26 15:37:30 2022 Input number is 1102108305584430838781100767104267014251100935276159001476332743661068052298630094277202059919175135134315682596409814719204225366350578377970592066387381169432588081259 (169 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3907060524 Step 1 took 0ms Step 2 took 3973ms ********** Factor found in step 2: 4288419430845430965197703359888623629659863 Found prime factor of 43 digits: 4288419430845430965197703359888623629659863 Composite cofactor 256996388379659527403307511135482492118240961498417498923987353839775902090954951491973757390951574974879081211821962090878093 has 126 digits```

### c126

name 名前 Eric Jeancolas August 30, 2022 20:31:15 UTC 2022 年 8 月 31 日 (水) 5 時 31 分 15 秒 (日本時間) `256996388379659527403307511135482492118240961498417498923987353839775902090954951491973757390951574974879081211821962090878093<126>` ```208617157829474724370485382423359930814627<42> 854875227595068183219123107850861689157731<42> 1441034118429044868995439196947502456524389<43>``` ```256996388379659527403307511135482492118240961498417498923987353839775902090954951491973757390951574974879081211821962090878093=208617157829474724370485382423359930814627*854875227595068183219123107850861689157731*1441034118429044868995439196947502456524389 cado polynomial n: 256996388379659527403307511135482492118240961498417498923987353839775902090954951491973757390951574974879081211821962090878093 skew: 189882.989 c0: 2748805028289544240591228461192 c1: 120655560909638929257764995 c2: -636436355612883331494 c3: -4944955211537935 c4: 6942946794 c5: 30240 Y0: -2164283707458478141924050 Y1: 1198721129943046499 # MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.384e-07 # f(x) = 30240*x^5+6942946794*x^4-4944955211537935*x^3-636436355612883331494*x^2+120655560909638929257764995*x+2748805028289544240591228461192 # g(x) = 1198721129943046499*x-2164283707458478141924050 cado parameters (extracts) tasks.lim0 = 2377918 tasks.lim1 = 9209388 tasks.lpb0 = 27 tasks.lpb1 = 27 tasks.sieve.mfb0 = 57 tasks.sieve.mfb1 = 53 tasks.I = 13 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 1441034118429044868995439196947502456524389 208617157829474724370485382423359930814627 854875227595068183219123107850861689157731 Info:Square Root: Total cpu/real time for sqrt: 592.52/175.669 Info:Filtering - Singleton removal: Total cpu/real time for purge: 117.13/134.339 Info:Filtering - Merging: Merged matrix has 836322 rows and total weight 142925844 (170.9 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 172.5/49.511 Info:Filtering - Merging: Total cpu/real time for replay: 31.75/26.4868 Info:Generate Factor Base: Total cpu/real time for makefb: 8.52/2.35517 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 12073408 Info:Lattice Sieving: Average J: 3842.98 for 236675 special-q, max bucket fill -bkmult 1.0,1s:1.271640 Info:Lattice Sieving: Total time: 71500.5s Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 2834.6 Info:Polynomial Selection (root optimized): Rootsieve time: 2832.13 Info:Linear Algebra: Total cpu/real time for bwc: 10757.4/2764.5 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 6793.44, WCT time 1737.98, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (26368 iterations) Info:Linear Algebra: Lingen CPU time 146.35, WCT time 37.16 Info:Linear Algebra: Mksol: CPU time 3685.15, WCT time 941.27, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13312 iterations) Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 19925.9 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20132/36.760/44.673/48.430/0.876 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15936/36.200/40.069/45.480/0.979 Info:Polynomial Selection (size optimized): Total time: 1962.67 Info:Generate Free Relations: Total cpu/real time for freerel: 128.07/33.4472 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 182.94/175.444 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 146.2s Info:Square Root: Total cpu/real time for sqrt: 592.52/175.669 Info:Quadratic Characters: Total cpu/real time for characters: 31.78/12.758 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 53.44/54.2286 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 53.7s Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 149657/40528 Info:root: Cleaning up computation data in /tmp/cado.bf3nyfi1 1441034118429044868995439196947502456524389 208617157829474724370485382423359930814627 854875227595068183219123107850861689157731``` `cado-nfs-3.0.0` ```Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 27, 2022 22:11:11 UTC 2022 年 8 月 28 日 (日) 7 時 11 分 11 秒 (日本時間)
2350Ignacio SantosAugust 28, 2022 14:59:20 UTC 2022 年 8 月 28 日 (日) 23 時 59 分 20 秒 (日本時間)

## 19×10209+269

### c156

composite cofactor 合成数の残り `185982332725231096473968238272823536705010112237685838331871460141532588013605952586269120451801467269842237903111716414321208378921202303290031001427352543<156>`

### 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+269

### c154

name 名前 Dmitry Domanov August 27, 2022 22:11:50 UTC 2022 年 8 月 28 日 (日) 7 時 11 分 50 秒 (日本時間) `4506987745515183921522265912604129094998960526829199687852377108091866498027719825476819469672459678584687154134880108719931946348000911677740454156478043<154>` ```1688057868736867767741772789586438686694131<43> 2669924905410767776140047349710527142961501322185146328851811016120050674534866312887501716247123428480844796153<112>``` ```Resuming ECM residue saved by @f345dc7defbd with GMP-ECM 7.0.5-dev on Fri Aug 26 15:43:28 2022 Input number is 4506987745515183921522265912604129094998960526829199687852377108091866498027719825476819469672459678584687154134880108719931946348000911677740454156478043 (154 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3722770034 Step 1 took 0ms Step 2 took 3445ms ********** Factor found in step 2: 1688057868736867767741772789586438686694131 Found prime factor of 43 digits: 1688057868736867767741772789586438686694131 Prime cofactor 2669924905410767776140047349710527142961501322185146328851811016120050674534866312887501716247123428480844796153 has 112 digits```

### ECM

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

## 19×10212+269

### c177

name 名前 Dmitry Domanov August 27, 2022 22:12:20 UTC 2022 年 8 月 28 日 (日) 7 時 12 分 20 秒 (日本時間) `351285587218850278625729821842823457191337312362633437690717803456892222831001575320086535359202405325124161484615857187780214553833442041442505600918660380374018899545150100639<177>` ```451144344815810536814479410087400872667<39> 778654528767883011559106859477209420486160962987022745165069562819299083598358120450636746574212983842718563768300778568226249335939595917<138>``` ```Resuming ECM residue saved by @f345dc7defbd with GMP-ECM 7.0.5-dev on Fri Aug 26 15:46:27 2022 Input number is 351285587218850278625729821842823457191337312362633437690717803456892222831001575320086535359202405325124161484615857187780214553833442041442505600918660380374018899545150100639 (177 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2929791851 Step 1 took 0ms Step 2 took 4373ms ********** Factor found in step 2: 451144344815810536814479410087400872667 Found prime factor of 39 digits: 451144344815810536814479410087400872667 Prime cofactor 778654528767883011559106859477209420486160962987022745165069562819299083598358120450636746574212983842718563768300778568226249335939595917 has 138 digits```

### ECM

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

## 19×10213+269

### c185

composite cofactor 合成数の残り `79753168520495130951380561609891267228666597907548539310791299749798093350172374676209807756919348843825047619551793258412872006175666449847673896766514525823714206204974216448282303287<185>`

### ECM

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

## 19×10216+269

### c136

name 名前 Eric Jeancolas August 20, 2022 06:38:21 UTC 2022 年 8 月 20 日 (土) 15 時 38 分 21 秒 (日本時間) `6299567632265147922610180153224090819803653384397259808040626674230819899963266819024095559555548983024788780051633536504051018894922211<136>` ```3747288065269412755840207730815167735747673247735988157<55> 1681100444518998573174309327623696704689654345251196902407768984631214150754017823<82>``` ```6299567632265147922610180153224090819803653384397259808040626674230819899963266819024095559555548983024788780051633536504051018894922211=3747288065269412755840207730815167735747673247735988157*1681100444518998573174309327623696704689654345251196902407768984631214150754017823 cado polynomial n: 6299567632265147922610180153224090819803653384397259808040626674230819899963266819024095559555548983024788780051633536504051018894922211 skew: 496073.74 c0: 12093386496448688368532220869208 c1: 42477957955830609469534182 c2: -2103312052249191004085 c3: -283352498588477 c4: 4994411347 c5: 660 Y0: -367695870018266750211956765 Y1: 20505082551251139487 # MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.188e-07 # f(x) = 660*x^5+4994411347*x^4-283352498588477*x^3-2103312052249191004085*x^2+42477957955830609469534182*x+12093386496448688368532220869208 # g(x) = 20505082551251139487*x-367695870018266750211956765 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: 3747288065269412755840207730815167735747673247735988157 1681100444518998573174309327623696704689654345251196902407768984631214150754017823 Info:Square Root: Total cpu/real time for sqrt: 501.18/150.339 Info:Filtering - Singleton removal: Total cpu/real time for purge: 80.58/92.3057 Info:Filtering - Merging: Merged matrix has 1462742 rows and total weight 248975988 (170.2 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 389.3/107.808 Info:Filtering - Merging: Total cpu/real time for replay: 55.19/46.728 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 17017561 Info:Lattice Sieving: Average J: 3804.27 for 720780 special-q, max bucket fill -bkmult 1.0,1s:1.198470 Info:Lattice Sieving: Total time: 238387s Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 6714.97 Info:Polynomial Selection (root optimized): Rootsieve time: 6712.5 Info:Linear Algebra: Total cpu/real time for bwc: 33854.9/8723.58 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 21561.87, WCT time 5517.91, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (45824 iterations) Info:Linear Algebra: Lingen CPU time 287.4, WCT time 73.05 Info:Linear Algebra: Mksol: CPU time 11748.14, WCT time 3036.9, iteration CPU time 0.12, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (23040 iterations) 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): 54344/40.100/48.814/54.630/0.959 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 44203/39.420/43.707/49.520/1.166 Info:Polynomial Selection (size optimized): Total time: 11100.8 Info:Generate Factor Base: Total cpu/real time for makefb: 15.12/4.19515 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 190.67/158.676 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 147.89999999999998s Info:Generate Free Relations: Total cpu/real time for freerel: 248.05/63.0473 Info:Square Root: Total cpu/real time for sqrt: 501.18/150.339 Info:Quadratic Characters: Total cpu/real time for characters: 50.81/23.4153 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 76.67/81.6803 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 81.5s Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 499061/134095 Info:root: Cleaning up computation data in /tmp/cado.ya1wqy62 3747288065269412755840207730815167735747673247735988157 1681100444518998573174309327623696704689654345251196902407768984631214150754017823``` `cado-nfs-3.0.0` ```Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 3, 2022 11:59:42 UTC 2022 年 6 月 3 日 (金) 20 時 59 分 42 秒 (日本時間)
4511e64480Ignacio SantosJune 5, 2022 13:28:16 UTC 2022 年 6 月 5 日 (日) 22 時 28 分 16 秒 (日本時間)
5043e66454Ignacio SantosJune 25, 2022 18:41:27 UTC 2022 年 6 月 26 日 (日) 3 時 41 分 27 秒 (日本時間)

## 19×10219+269

### c126

name 名前 ebina June 3, 2022 23:57:50 UTC 2022 年 6 月 4 日 (土) 8 時 57 分 50 秒 (日本時間) `300468537429239240898849398621055860199739937041657570369395611293483190662932083686557367063907370807432446122781679010920673<126>` ```44014061840153780569050784599282896783349746570564593<53> 6826648686059769369815502042776023001079091777886388474291756040680088561<73>``` ```Sat Jun 4 08:45:55 2022 Msieve v. 1.53 (SVN unknown) Sat Jun 4 08:45:55 2022 random seeds: 3a826ad0 a13d0843 Sat Jun 4 08:45:55 2022 factoring 300468537429239240898849398621055860199739937041657570369395611293483190662932083686557367063907370807432446122781679010920673 (126 digits) Sat Jun 4 08:45:55 2022 searching for 15-digit factors Sat Jun 4 08:45:56 2022 commencing number field sieve (126-digit input) Sat Jun 4 08:45:56 2022 R0: -2310857064813889920044544 Sat Jun 4 08:45:56 2022 R1: 38167082820031 Sat Jun 4 08:45:56 2022 A0: 7580810587028989926231737686111 Sat Jun 4 08:45:56 2022 A1: 31071846188010580388628143 Sat Jun 4 08:45:56 2022 A2: -1016076186622252895371 Sat Jun 4 08:45:56 2022 A3: -2153524739372807 Sat Jun 4 08:45:56 2022 A4: -19870201596 Sat Jun 4 08:45:56 2022 A5: 4560 Sat Jun 4 08:45:56 2022 skew 295623.21, size 2.319e-12, alpha -5.846, combined = 9.287e-11 rroots = 3 Sat Jun 4 08:45:56 2022 Sat Jun 4 08:45:56 2022 commencing square root phase Sat Jun 4 08:45:56 2022 reading relations for dependency 1 Sat Jun 4 08:45:57 2022 read 636913 cycles Sat Jun 4 08:45:58 2022 cycles contain 2281570 unique relations Sat Jun 4 08:46:45 2022 read 2281570 relations Sat Jun 4 08:46:58 2022 multiplying 2281570 relations Sat Jun 4 08:48:46 2022 multiply complete, coefficients have about 104.70 million bits Sat Jun 4 08:48:48 2022 initial square root is modulo 32722499 Sat Jun 4 08:51:19 2022 sqrtTime: 323 Sat Jun 4 08:51:19 2022 p53 factor: 44014061840153780569050784599282896783349746570564593 Sat Jun 4 08:51:19 2022 p73 factor: 6826648686059769369815502042776023001079091777886388474291756040680088561 Sat Jun 4 08:51:19 2022 elapsed time 00:05:24```

### 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)

## 19×10220+269

### c219

name 名前 Erik Branger July 6, 2022 07:23:19 UTC 2022 年 7 月 6 日 (水) 16 時 23 分 19 秒 (日本時間) `390946502057613168724279835390946502057613168724279835390946502057613168724279835390946502057613168724279835390946502057613168724279835390946502057613168724279835390946502057613168724279835390946502057613168724279835391<219>` ```284994146167690657476600000051481385783<39> 1371770288318764649885970101083582724433581727517183747494457309840660177798939377953353072397277171636259564570043681360369970870884269606824525139339026308722928210996917627654777<181>``` ```Number: 21114_220 N = 390946502057613168724279835390946502057613168724279835390946502057613168724279835390946502057613168724279835390946502057613168724279835390946502057613168724279835390946502057613168724279835390946502057613168724279835391 (219 digits) SNFS difficulty: 222 digits. Divisors found: r1=284994146167690657476600000051481385783 (pp39) r2=1371770288318764649885970101083582724433581727517183747494457309840660177798939377953353072397277171636259564570043681360369970870884269606824525139339026308722928210996917627654777 (pp181) Version: Msieve v. 1.52 (SVN unknown) Total time: 44.69 hours. Factorization parameters were as follows: n: 390946502057613168724279835390946502057613168724279835390946502057613168724279835390946502057613168724279835390946502057613168724279835390946502057613168724279835390946502057613168724279835390946502057613168724279835391 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 19 c0: 26 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: 31002537 Relations: 6592236 relations Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G rational relations. Total batch smoothness checking time: 17.72 hours. Total relation processing time: 0.33 hours. Pruned matrix : 5985989 x 5986215 Matrix solve time: 26.47 hours. time per square root: 0.16 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: 44.69 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+269

### c181

composite cofactor 合成数の残り `1410345545823275778784708811625968646849781359700148141891324569419995692685646427964625911420961106761716928680913352010513206818196686663488743352237084900272654266793881891270983<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)

## 19×10223+269

### c178

composite cofactor 合成数の残り `7419375168574948197360805308721875197427135508595514212446203374240431964900374755138133629984354778525915697866189562214012733748399393843377252399964778376915045822408418459177<178>`

### 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+269

### c193

name 名前 Dmitry Domanov August 28, 2022 01:10:46 UTC 2022 年 8 月 28 日 (日) 10 時 10 分 46 秒 (日本時間) `8362418470617211802315437201100449655892350496044717182081641085306758884961510492173366826657358464106945306140536344387520750538851701422328144546629252467642451901144195480693726732875947411<193>` ```10995842785067772779180422571279922570307<41> 760507278439200611985529867180125656488182266673612684527993048795247752634510457212178146310614347128234446018182804451740677980729814490590927973545073<153>``` ```Resuming ECM residue saved by @f345dc7defbd with GMP-ECM 7.0.5-dev on Fri Aug 26 15:58:18 2022 Input number is 8362418470617211802315437201100449655892350496044717182081641085306758884961510492173366826657358464106945306140536344387520750538851701422328144546629252467642451901144195480693726732875947411 (193 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1979236870 Step 1 took 0ms Step 2 took 5001ms ********** Factor found in step 2: 10995842785067772779180422571279922570307 Found prime factor of 41 digits: 10995842785067772779180422571279922570307 Prime cofactor 760507278439200611985529867180125656488182266673612684527993048795247752634510457212178146310614347128234446018182804451740677980729814490590927973545073 has 153 digits```

### ECM

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

## 19×10226+269

### c153

name 名前 Ignacio Santos June 3, 2022 14:19:27 UTC 2022 年 6 月 3 日 (金) 23 時 19 分 27 秒 (日本時間) `219696023516891709610864030800767750411958526545856103140864507814572587669337121813861597525494737201767933214144995261777968250098121366228472736414157<153>` `154282176036519439880210578993382039<36>` `1423988364442620073918858749213096199068699611974436991696837952548366833124211153388148288696960538870119474893506363<118>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4092665413 Step 1 took 4890ms Step 2 took 3000ms ********** Factor found in step 2: 154282176036519439880210578993382039 Found prime factor of 36 digits: 154282176036519439880210578993382039 Composite cofactor 1423988364442620073918858749213096199068699611974436991696837952548366833124211153388148288696960538870119474893506363 has 118 digits ``` `GMP-ECM`

### c118

name 名前 Eric Jeancolas June 4, 2022 20:56:16 UTC 2022 年 6 月 5 日 (日) 5 時 56 分 16 秒 (日本時間) `1423988364442620073918858749213096199068699611974436991696837952548366833124211153388148288696960538870119474893506363<118>` ```103087497875465765792574459552158682002101719954579287<54> 13813395356271627490819051325796389877210499004175079975532149949<65>``` ```1423988364442620073918858749213096199068699611974436991696837952548366833124211153388148288696960538870119474893506363=103087497875465765792574459552158682002101719954579287*13813395356271627490819051325796389877210499004175079975532149949 cado polynomial n: 1423988364442620073918858749213096199068699611974436991696837952548366833124211153388148288696960538870119474893506363 skew: 10832.421 c0: -23498935523481248857414206 c1: 682846491999334864661 c2: 1059695643038481880 c3: 40167768537737 c4: -4024894572 c5: 126720 Y0: -34126944784237352479610 Y1: 31418863851991313 # MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 2.049e-06 # f(x) = 126720*x^5-4024894572*x^4+40167768537737*x^3+1059695643038481880*x^2+682846491999334864661*x-23498935523481248857414206 # g(x) = 31418863851991313*x-34126944784237352479610 cado parameters (extracts) tasks.lim0 = 3000000 tasks.lim1 = 5500000 tasks.lpb0 = 27 tasks.lpb1 = 27 tasks.sieve.mfb0 = 54 tasks.sieve.mfb1 = 54 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 103087497875465765792574459552158682002101719954579287 13813395356271627490819051325796389877210499004175079975532149949 Info:Square Root: Total cpu/real time for sqrt: 137.29/40.953 Info:Filtering - Singleton removal: Total cpu/real time for purge: 63.03/63.1077 Info:Generate Free Relations: Total cpu/real time for freerel: 125.46/32.755 Info:Linear Algebra: Total cpu/real time for bwc: 2529.87/658.42 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 1531.31, WCT time 396.61, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (16256 iterations) Info:Linear Algebra: Lingen CPU time 83.99, WCT time 21.41 Info:Linear Algebra: Mksol: CPU time 883.31, WCT time 227.67, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8192 iterations) Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 13426698 Info:Lattice Sieving: Average J: 1894 for 177428 special-q, max bucket fill -bkmult 1.0,1s:1.249870 Info:Lattice Sieving: Total time: 22775.7s Info:Generate Factor Base: Total cpu/real time for makefb: 5.17/1.37939 Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 1023.52 Info:Polynomial Selection (root optimized): Rootsieve time: 1021.08 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 54.06/57.5121 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 57.4s Info:Filtering - Merging: Merged matrix has 518298 rows and total weight 52564619 (101.4 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 38.45/12.5999 Info:Filtering - Merging: Total cpu/real time for replay: 12.16/9.5712 Info:Quadratic Characters: Total cpu/real time for characters: 15.57/5.9968 Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 19893.3 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 19881/34.580/41.769/46.640/1.047 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15528/33.290/36.958/42.290/0.793 Info:Polynomial Selection (size optimized): Total time: 2325.08 Info:Square Root: Total cpu/real time for sqrt: 137.29/40.953 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 127.39/109.684 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 97.5s Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 48514.5/13449.6 Info:root: Cleaning up computation data in /tmp/cado.ty069jre 103087497875465765792574459552158682002101719954579287 13813395356271627490819051325796389877210499004175079975532149949``` `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 4, 2022 16:41:40 UTC 2022 年 6 月 5 日 (日) 1 時 41 分 40 秒 (日本時間)

## 19×10227+269

### c191

name 名前 Dmitry Domanov August 28, 2022 01:11:20 UTC 2022 年 8 月 28 日 (日) 10 時 11 分 20 秒 (日本時間) `66593969599206913633558356927170276265826697025853463560141966826965824898219147282954562454280940538773058948430854280361812918509851147065034251870508715704579701137529430805477421144370159<191>` `19938725670032031018080195559641484281<38>` `3339931081919536347213647437760373999661023380956008982763493565836260528882158374701111239111105058649856566577275196673689862648292872344338530918867239<154>` ```Resuming ECM residue saved by @f345dc7defbd with GMP-ECM 7.0.5-dev on Fri Aug 26 16:01:17 2022 Input number is 66593969599206913633558356927170276265826697025853463560141966826965824898219147282954562454280940538773058948430854280361812918509851147065034251870508715704579701137529430805477421144370159 (191 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:4186287746 Step 1 took 0ms Step 2 took 4432ms ********** Factor found in step 2: 19938725670032031018080195559641484281 Found prime factor of 38 digits: 19938725670032031018080195559641484281 Composite cofactor 3339931081919536347213647437760373999661023380956008982763493565836260528882158374701111239111105058649856566577275196673689862648292872344338530918867239 has 154 digits```

### c154

name 名前 Ignacio Santos August 30, 2022 15:26:40 UTC 2022 年 8 月 31 日 (水) 0 時 26 分 40 秒 (日本時間) `3339931081919536347213647437760373999661023380956008982763493565836260528882158374701111239111105058649856566577275196673689862648292872344338530918867239<154>` ```1285929714290859582678272735388562784131156939<46> 2597288984617156110798934907537091769978333185111285639388509652818661858891620821580922904504895874389527701<109>``` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:491915701 Step 1 took 21578ms Step 2 took 11203ms ********** Factor found in step 2: 1285929714290859582678272735388562784131156939 Found prime factor of 46 digits: 1285929714290859582678272735388562784131156939 Prime cofactor 2597288984617156110798934907537091769978333185111285639388509652818661858891620821580922904504895874389527701 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)
403e623921792Dmitry DomanovAugust 28, 2022 01:11:03 UTC 2022 年 8 月 28 日 (日) 10 時 11 分 3 秒 (日本時間)
600ebinaAugust 28, 2022 23:42:47 UTC 2022 年 8 月 29 日 (月) 8 時 42 分 47 秒 (日本時間)

## 19×10228+269

### c149

name 名前 Ignacio Santos June 3, 2022 13:42:14 UTC 2022 年 6 月 3 日 (金) 22 時 42 分 14 秒 (日本時間) `34070291542838839761979353523271016263720628050059427113181424798672234287858806557794794581619670985401620527140133863804623789652425101862773879797<149>` ```22666487154373013169053354485561558004453<41> 1503113001622119765096044342621851322086935173044859879341458260537848398221940142811794714625645852353207249<109>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1652927329 Step 1 took 5891ms ********** Factor found in step 1: 22666487154373013169053354485561558004453 Found prime factor of 41 digits: 22666487154373013169053354485561558004453 Prime cofactor 1503113001622119765096044342621851322086935173044859879341458260537848398221940142811794714625645852353207249 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)

## 19×10230+269

### c179

composite cofactor 合成数の残り `12952951432394251175982679655022592521828287595801553719002314436857562847596135819718460738845680239168399706431975691369613638672862719269023773347745785320753684451359313059109<179>`

### 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)

## 19×10231+269

### c212

composite cofactor 合成数の残り `32259540461984198573325466356192969045839855639078861119134617248368319894227224622191357672551750171763159658191976340367037922473016619547437232809074490314003005602164787299071762073010214135377958023276865583<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)

## 19×10232+269

### c163

name 名前 Dmitry Domanov August 26, 2022 18:15:35 UTC 2022 年 8 月 27 日 (土) 3 時 15 分 35 秒 (日本時間) `1121048303795234082028782158670965789768035045986622699164123878834781626995488772811976528510119422399008471273616842059736062170108587610474139963572147091934691<163>` ```13104712006621393331756586677224801<35> 85545436117085526317625521437727357419137811390177768456781472440650330677873066961156525109162825924553492054500772538767037891<128>``` ```GPU: factor 13104712006621393331756586677224801 found in Step 1 with curve 1244 (-sigma 3:1351512793) Computing 1792 Step 1 took 342ms of CPU time / 178477ms of GPU time Throughput: 10.041 curves per second (on average 99.60ms per Step 1) ********** Factor found in step 1: 13104712006621393331756586677224801 Found prime factor of 35 digits: 13104712006621393331756586677224801 Prime cofactor 85545436117085526317625521437727357419137811390177768456781472440650330677873066961156525109162825924553492054500772538767037891 has 128 digits Peak memory usage: 9428MB```

### 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)

## 19×10233+269

### c225

composite cofactor 合成数の残り `330957113860576700985605996830308059755360396276927977628826383011504243117372400260758392678655632708382451505994166172968359583337911428251775758145782906813171528902028206814990364687033138286754312422666143917466692520479<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)

## 19×10235+269

### c219

composite cofactor 合成数の残り `297771852005056042083877200538071511032353822303479587336069078783692597799994869107886806833197041232434970236731643536298848501862810094034485281494908216490717246681769589804469951521920109465196096503462305324694623<219>`

### 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)

## 19×10237+269

### c180

name 名前 Dmitry Domanov August 28, 2022 17:50:10 UTC 2022 年 8 月 29 日 (月) 2 時 50 分 10 秒 (日本時間) `706173495209581765347322622703544171082466916202635858561427006319035263160969700830049446130399474953171126285869774999899050422148471296313288243019313789854815952349596388813267<180>` `32104888490545889260932365211099948509<38>` `21995824574115332207682769846856913372616926770651030696928918567784959511921448999028458151495684209637426328512400793534232333450292334250863<143>` ```Resuming ECM residue saved by @f345dc7defbd with GMP-ECM 7.0.5-dev on Fri Aug 26 16:19:01 2022 Input number is 706173495209581765347322622703544171082466916202635858561427006319035263160969700830049446130399474953171126285869774999899050422148471296313288243019313789854815952349596388813267 (180 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3645549254 Step 1 took 0ms Step 2 took 4591ms ********** Factor found in step 2: 32104888490545889260932365211099948509 Found prime factor of 38 digits: 32104888490545889260932365211099948509 Composite cofactor 21995824574115332207682769846856913372616926770651030696928918567784959511921448999028458151495684209637426328512400793534232333450292334250863 has 143 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 28, 2022 17:50:04 UTC 2022 年 8 月 29 日 (月) 2 時 50 分 4 秒 (日本時間)
2350Ignacio SantosAugust 30, 2022 08:25:35 UTC 2022 年 8 月 30 日 (火) 17 時 25 分 35 秒 (日本時間)
4511e64480Ignacio SantosAugust 30, 2022 14:23:38 UTC 2022 年 8 月 30 日 (火) 23 時 23 分 38 秒 (日本時間)

## 19×10239+269

### c208

composite cofactor 合成数の残り `7374351252520078185983120974279967371311953743046298143544725279712045913587348152515245424406168483301767343688595781749122852827602706120296721286720896076478840159705160703717592827630361515562262382583663<208>`

### 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+269

### c178

composite cofactor 合成数の残り `6488992073456400444852926099488949440074790984026639543377500477602533080810712271999869009476411205266730147835494945422761036542727344656169522466976490892731753250267779155699<178>`

### 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)

## 19×10243+269

### c196

composite cofactor 合成数の残り `5399365925864062790688642307738873667191398564356700393460233197260417885784363698143790718328285416382804220160670437400967339874116059447043185271091610935594424710246199105256485009418782404201<196>`

### ECM

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

## 19×10246+269

### c245

composite cofactor 合成数の残り `45893719806763285024154589371980676328502415458937198067632850241545893719806763285024154589371980676328502415458937198067632850241545893719806763285024154589371980676328502415458937198067632850241545893719806763285024154589371980676328502415459<245>`

### ECM

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

## 19×10247+269

### c182

composite cofactor 合成数の残り `21517838002089478575237946216434074605664727104056438672378016408673514684507281289958745884067799502267798373324747274912829004983747042085933745991332303138687955938056868691111113<182>`

### 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+269

### c219

composite cofactor 合成数の残り `246446264514134566310728385192071115788407013958394011587135213890527938206172429622317761298371454030519838321933375659196358339069897493681196005192235037383476308035269624911862559620840053193333308196552469409425483<219>`

### 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+269

### c182

name 名前 Dmitry Domanov August 27, 2022 22:16:48 UTC 2022 年 8 月 28 日 (日) 7 時 16 分 48 秒 (日本時間) `79869682270960291314198005741339464440547268280587746023836038066544223352887428731839748588688891981704029651131695821821376181957582754348781742550219071741252836734671531111450069<182>` `466124059246646755839644210798747142673968761<45>` `171348551284922469582178291031254418692234506607302286186538172977678260971037526263948762987639158563955070209762260308170211753017396029<138>` ```Resuming ECM residue saved by @f345dc7defbd with GMP-ECM 7.0.5-dev on Fri Aug 26 16:41:14 2022 Input number is 79869682270960291314198005741339464440547268280587746023836038066544223352887428731839748588688891981704029651131695821821376181957582754348781742550219071741252836734671531111450069 (182 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:750794331 Step 1 took 0ms Step 2 took 4392ms ********** Factor found in step 2: 466124059246646755839644210798747142673968761 Found prime factor of 45 digits: 466124059246646755839644210798747142673968761 Composite cofactor 171348551284922469582178291031254418692234506607302286186538172977678260971037526263948762987639158563955070209762260308170211753017396029 has 138 digits```

### c138

name 名前 Norman Powell October 8, 2022 16:46:56 UTC 2022 年 10 月 9 日 (日) 1 時 46 分 56 秒 (日本時間) `171348551284922469582178291031254418692234506607302286186538172977678260971037526263948762987639158563955070209762260308170211753017396029<138>` ```626454795276779626440131463678421927512705533504369743<54> 273521014727355427620942959254548625740932318155062895077279340677321349934483687603<84>``` ```New best polynomial is: n: 171348551284922469582178291031254418692234506607302286186538172977678260971037526263948762987639158563955070209762260308170211753017396029 skew: 18079.875 c0: -6125778205507779793974508992 c1: 3604010831482266630174094 c2: 1020285155749097536862 c3: -29662975321778000 c4: -1522627815969 c5: 2383290 Y0: -159974404308534771275954745 Y1: 8439563886707991155057 # MurphyE (Bf=1.074e+09,Bg=1.074e+09,area=8.389e+13) = 1.296e-06 # f(x) = 2383290*x^5-1522627815969*x^4-29662975321778000*x^3+1020285155749097536862*x^2+3604010831482266630174094*x-6125778205507779793974508992 # g(x) = 8439563886707991155057*x-159974404308534771275954745 Factors: 273521014727355427620942959254548625740932318155062895077279340677321349934483687603 626454795276779626440131463678421927512705533504369743``` `CADO-NFS v3.0.0` `Ubuntu 20.04.4, Intel Xeon E5-1620.`

### 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)
403e641421792Dmitry DomanovAugust 27, 2022 22:16:38 UTC 2022 年 8 月 28 日 (日) 7 時 16 分 38 秒 (日本時間)
2350Ignacio SantosAugust 30, 2022 08:06:19 UTC 2022 年 8 月 30 日 (火) 17 時 6 分 19 秒 (日本時間)
4511e64480Ignacio SantosAugust 30, 2022 14:23:21 UTC 2022 年 8 月 30 日 (火) 23 時 23 分 21 秒 (日本時間)

## 19×10250+269

### c211

composite cofactor 合成数の残り `3676432161895546273542277203818365618602965139241530182664734918284026129799708967683562598517407730946900679829015252103337538504889025527130532724416031852996293265773313441309745924222401825401609423687493401<211>`

### 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)

## 19×10251+269

### c210

composite cofactor 合成数の残り `134196052673646395080705189128998063329038391530613907496138403102011326541427074956735726322055016366186637286696846871678984441346802467734343332954282799761926916037047933045415132161619964541828999634604469<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)

## 19×10252+269

### c238

composite cofactor 合成数の残り `2951204861631977325957912437963641057065419468055275642491935555816511955365932559061869252384742577649316509068912983205434751703374501116683068342954287557374905629818431561537464696938957781518670543284534463705563354631493879189537519<238>`

### 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)

## 19×10253+269

### c200

composite cofactor 合成数の残り `13165527390162005326812382455130557456068916736423968654602013794621480170825472325253260124742412452560099351087305915672869022332435253062643012211571261427674288625467722859779373009697870794086349<200>`

### ECM

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

## 19×10254+269

### c216

composite cofactor 合成数の残り `553517999847917403161774754014446582064281048072910563303200968267457490194769245726251311588018961957239361600440894613744903118859792026418297313617364388691385115497485468805644115791009555525186779249723870398333<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)

## 19×10255+269

### c245

composite cofactor 合成数の残り `30480596460654532043641638061684805675860903243525107787043805402942997494349989175011403240083031887499146990120582157513490531780969727060049624664869502394102056942186009475335943136296258080387540587489837868482698611965697078002257284199857<245>`

### ECM

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

## 19×10256+269

### c201

composite cofactor 合成数の残り `198305169005322447900529289663904416612218367704524616875949185002212095272470372927388137657947717133618528485303103769914398121597945441198116372109705957990095959866155712076492442513909212736257413<201>`

### 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+269

### c180

composite cofactor 合成数の残り `118502066355746538456527930996796531051721063000147113275524640109437345847033746894230953472545196944290204063910615043548713930263578951295496370887503160290585739299113837295981<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)

## 19×10258+269

### c253

composite cofactor 合成数の残り `1279425610626074128303763113944163442177436938795106991629997655284223052636781708577282761275207546402410060756555339130612789650174062487416175737592231435433382530614971407531130108561283207323378324671621949394811484716857051931346829792085257690459<253>`

### 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+269

### c214

composite cofactor 合成数の残り `3770848445391452812303804601640095850270361925615019789642446824538162906435998720723799332172134221045286724058914288872176047318401385915962432677155319089594255791049793803046986487198003621318624019169923916539<214>`

### ECM

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

## 19×10260+269

### c244

composite cofactor 合成数の残り `9996542448376919926392289301347515331164909819422284775330356543340752446770618377137315259956665623525176239815135227907913530854179406688530820601686860570518657300283373216215631409808487452209745003134445553661097940979508011125415531273813<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)

## 19×10263+269

### c209

composite cofactor 合成数の残り `55609093878184497217635577716638461429525761317527537650775926947703482120237390560248566663097926175375100173197509042227522177086260592690230788470661442950787547283719801680636826836245039337297263713188753<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)

## 19×10264+269

### c247

composite cofactor 合成数の残り `3432833889016025441279121486754204304604816377468290755974746455632633646698843844237709705860785398181695679952665964080852018313856128043488095392037318452333189408721225751061570456718210703261458474075597675596138323918104598680014134541638959<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)

## 19×10265+269

### c201

composite cofactor 合成数の残り `455218952960535918166030707993669613023490593537477764031735887666500573113161662887633510068870850925978841763632859647005690555820456945857800599530364021951670224948347577269417862396275214644269781<201>`

### 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)

## 19×10266+269

### c262

composite cofactor 合成数の残り `6676928050828993330100294487668768141916348634041087706721206626323964549026222756376466288541688630245781235723673575530112945509238759918752328139386144320042732339525305557312641884721080116108264631257862961323015722408473373113767825640809384246666807233573<262>`

### 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)

## 19×10267+269

### c231

composite cofactor 合成数の残り `462201975014178075951826671807338854020130144130625887712242938551721779214446644084124645936062684663917746789213997684355962847513808765348204224003166355962511042804899708205402510393056772136488682746429736540622863020301171719<231>`

### ECM

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

## 19×10268+269

### c199

composite cofactor 合成数の残り `2208203976053501203755721525644609759784685142662096162973220207001625322600694387602079452804883536043680344003454344653860122467606493390743400575545134529023870040188400030493459460785544096472919<199>`

### ECM

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

## 19×10269+269

### c253

composite cofactor 合成数の残り `1188602669807201363253047631968108861245061270540959935898459903594829953483767400781634068253756183338694410556801736144013244277630836127938336091769458002157019819013621525367595384846474042332847899016575821596124506832535536084216652511972549353573<253>`

### 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+269

### c271

composite cofactor 合成数の残り `3518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518519<271>`

### 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+269

### c271

composite cofactor 合成数の残り `1271753681392235609103078982597054886211512717536813922356091030789825970548862115127175368139223560910307898259705488621151271753681392235609103078982597054886211512717536813922356091030789825970548862115127175368139223560910307898259705488621151271753681392235609103079<271>`

### 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+269

### c259

composite cofactor 合成数の残り `5532231364518053887641441262828818678805324902776949699964123612202222252442065319317710602136057526618104231662288109497058755064870632492940148154415369858684692509895762242173200932069267360472337255975900677854002060121047540180944267279986350199678800501<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)

## 19×10274+269

### c236

composite cofactor 合成数の残り `18355467100123119624955210868515775739479540445788423576223297986846275944951194768885347886189847332387738786169702061527581343767418805093821593820234932335181891725744813392709712737465739532768598121084796616218340573303820840633083<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)

## 19×10275+269

### c273

composite cofactor 合成数の残り `282990765564492106047065832588620792374143580577896931784331248138218647602025618111408996127494787012213285671730711945189156985403634197199880845993446529639559130175752159666368781650282990765564492106047065832588620792374143580577896931784331248138218647602025618111409<273>`

### ECM

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

## 19×10276+269

### c270

name 名前 Dmitry Domanov August 30, 2022 08:39:32 UTC 2022 年 8 月 30 日 (火) 17 時 39 分 32 秒 (日本時間) `943252818265663879702102887833041471053407868178134982655566467501316334130332319882647434635310162873946374190775960477111176046620915926287671655878336669966065735189615163772022346950031728046113346620290400734506005094955275419397507687758693291020004803639089230823<270>` `386916416299638423507975894828306953<36>` `2437872311768709403867687258493043865167141494570560106128425626927568823355483295820691535235188030167910600644623522794078882202079654445455766308569871722417851668285910634111778536354810522065320653695291905284082855221040801927791<235>` ```Resuming ECM residue saved by @f345dc7defbd with GMP-ECM 7.0.5-dev on Fri Aug 26 18:13:00 2022 Input number is 943252818265663879702102887833041471053407868178134982655566467501316334130332319882647434635310162873946374190775960477111176046620915926287671655878336669966065735189615163772022346950031728046113346620290400734506005094955275419397507687758693291020004803639089230823 (270 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2046848747 Step 1 took 0ms Step 2 took 7393ms ********** Factor found in step 2: 386916416299638423507975894828306953 Found prime factor of 36 digits: 386916416299638423507975894828306953 Composite cofactor 2437872311768709403867687258493043865167141494570560106128425626927568823355483295820691535235188030167910600644623522794078882202079654445455766308569871722417851668285910634111778536354810522065320653695291905284082855221040801927791 has 235 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 30, 2022 08:39:27 UTC 2022 年 8 月 30 日 (火) 17 時 39 分 27 秒 (日本時間)

## 19×10277+269

### c272

composite cofactor 合成数の残り `86324947091894269204801847899077958696693209316188290157229532582215425268493302547131149403040273768211156272688694975797210886393643576106345065347984948563961788034998859602014733396759452354535649022756164737076928249430028178280098101487242535845298425342096678488641<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)

## 19×10278+269

### c216

name 名前 Dmitry Domanov August 27, 2022 22:17:19 UTC 2022 年 8 月 28 日 (日) 7 時 17 分 19 秒 (日本時間) `525860939164177391824395399507207854983249377469893250588956106197644205626368828538739951097215232375532333322413424637664046176467467680365660366412244315875152677106163542570483798194927117070129590121106363107007<216>` ```229981010806195663302047230710794152385989<42> 2286540690123841979313351913394907022408319248409613201817983874562874878140316822964566981301010393120320966894255203140568577212026062911506507227801548310547908415348637363<175>``` ```Resuming ECM residue saved by @f345dc7defbd with GMP-ECM 7.0.5-dev on Fri Aug 26 18:20:22 2022 Input number is 525860939164177391824395399507207854983249377469893250588956106197644205626368828538739951097215232375532333322413424637664046176467467680365660366412244315875152677106163542570483798194927117070129590121106363107007 (216 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3256358448 Step 1 took 0ms Step 2 took 5360ms ********** Factor found in step 2: 229981010806195663302047230710794152385989 Found prime factor of 42 digits: 229981010806195663302047230710794152385989 Prime cofactor 2286540690123841979313351913394907022408319248409613201817983874562874878140316822964566981301010393120320966894255203140568577212026062911506507227801548310547908415348637363 has 175 digits```

### ECM

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

## 19×10279+269

### c215

composite cofactor 合成数の残り `82403608117876148902309312764071253943800222692529466996100768152478192282443444287655661270316307355696348671103612721539022125890761633337255175332961221986636236049029152588247107960035432028481785371664673967551<215>`

### 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)

## 19×10281+269

### c277

composite cofactor 合成数の残り `3801474972289248228312585283089838857476700959972469318095421023357062540265623061747958207784620432727898424588740431287339487721235839505728222550349535619820490350255899288924102551790094556687994942037510554094988855676002288888088578368406941893454660408238396497841162371<277>`

### 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)

## 19×10283+269

### c243

composite cofactor 合成数の残り `107266002314252200032484825708689807824881331590190270449526544168605213955035177713912977443560467478723025492201760212981975710362737940582806345207392501074567627349367757568418257221602908529429877267634078650158954868119555626650452761697<243>`

### 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+269

### c233

composite cofactor 合成数の残り `11574436772849592306573554053306102834419279652174418321104886471364975973850786456459343339198916664161212526098376029630063629319374533504594927481868223410119486304900899838760236474553700973436032457913332763553887133622338018209<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)

## 19×10285+269

### c231

composite cofactor 合成数の残り `580073346142020994513793035395874103634478621743882461281718366966591997391355124991260674574264854558148930473423053007634044193034705174387601803656638774326494024576213821649809749828203539895145593798089366136052965744252632609<231>`

### ECM

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

## 19×10286+269

### c226

composite cofactor 合成数の残り `9094002335394004645747816149640580555545607147585483705733052277854089397688716759286155748049858457834704963205812969871478196062554253959860602101908270948899443550977572368377449431441097356718198564095439808933779829305767<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)

## 19×10288+269

### c250

composite cofactor 合成数の残り `1370492877259221560169384846052659476959257177633456947236444756676012357717241111655389179310288061168850223302100110720450861879601222167204963928329661862980677095999577031679041938412390709388810606692950694277477323117150980763561066665105486163<250>`

### 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)

## 19×10289+269

### c236

composite cofactor 合成数の残り `10289563101558305764090984605095253689473298093197930768355007248165976424080935104012085370710290348146429467378570251187610558398946628774745469898461224833072079929569697439764898418851072508517363464486261666331141064169805322690779<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)

## 19×10290+269

### c243

composite cofactor 合成数の残り `910329667170678111100515750687848278258057734557111086433336800132738467318834501309332574218914417300629712463253912564642666536882886308406062072084081253190813280572232176463491018230859035309513775172004363898249161192659439561452690643197<243>`

### 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+269

### c279

composite cofactor 合成数の残り `103518856458207431546187928858515165309899179801387658485998102883775387020134901185074292194340678012068472948923002180028923300645723573183016588184084903830289948272243600507829428678391316326274021194102421463381680376560717944229497842529523124134183521830505424824489658243<279>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 12, 2022 22:13:39 UTC 2022 年 8 月 13 日 (土) 7 時 13 分 39 秒 (日本時間)

## 19×10292+269

### c242

composite cofactor 合成数の残り `31189777390567385921786713382535815546693435183766214382574540107029313485195008197462214546312651107411385823461028240370040190374728013973080388654700957825393900106158442032564988876942070505134941110154932535387793733074526805809907878327<242>`

### 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+269

### c244

composite cofactor 合成数の残り `3742449685190373349964571016210552927041991206352428020694002404317361138473303536222754422754254233985868162422789881824934969592259842840584942578946962782375182723716223847162137255579407429586563618294088607326804085672842667860809007946573<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)

## 19×10294+269

### c205

composite cofactor 合成数の残り `8706146368544863851644244475422943448742408517659358863614396950622741838388544880933165055687054128997710815511363388207550977846267700190043275675624159369030385236230234379588174289944184448719500928829<205>`

### 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+269

### c276

composite cofactor 合成数の残り `693574434896748616266152130350281692476693503609286626080328863545950255685150715839562763520224437470222993251962490288894527163049038676992095919399376341662142615647913631847523713189641203475625833306921580334876172835634119681664969353858824444727249551898807625372971779<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)

## 19×10296+269

### c234

composite cofactor 合成数の残り `644395047425001232654678684522184613312465296383463206369676975378555133709468999184615199335765744918935297388501939260022136268802528890124451411473001463729240987655088344470282261213016162516760619558132026562507583600664870048349<234>`

### ECM

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

## 19×10297+269

### c290

composite cofactor 合成数の残り `58882631896460135463399526027043726744498225361149959702276273007326976624717006197248250979743463496366262912178655706662644796962985082171983436724726863149827718406420036577023190032035684709588101300217146130273409972611704489987247075620429092366314902443534391674883428039228749833029<290>`

### 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+269

### c267

composite cofactor 合成数の残り `146123068433308296615224024593371305296526158642920291022433172154325223808708081052620205912129403721352041972260575308401616686385080901602692052775038066110574814976552633388985633505002464209103002884753098986914379159634663968357247543128717576400644391192183187<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)

## 19×10299+269

### c253

composite cofactor 合成数の残り `7237783955343727838941332425683127412890303711167159814053362090057628668091156043271118314422237933103548477807827807043916445307878142549726752325325083897078366617264648501667964311791090854517726524067347094579979537000451514622650532743116333385549<253>`

### 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)

## 19×10300+269

### c292

composite cofactor 合成数の残り `4018662514740226732372238720460461092089787338644603299127928956540898016611578058332960031311996977376949102663350349606781550693157502144238815532709814493627090981014661869793117066742730895504613322831307591338812894732834686097835639275937168374020605571907472177178197391542761371010643<292>`

### 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)
403e61792Dmitry DomanovMay 30, 2022 22:46:37 UTC 2022 年 5 月 31 日 (火) 7 時 46 分 37 秒 (日本時間)
4511e63584Dmitry DomanovJune 1, 2022 23:53:19 UTC 2022 年 6 月 2 日 (木) 8 時 53 分 19 秒 (日本時間)
5043e6130 / 6675Dmitry DomanovJune 1, 2022 23:53:19 UTC 2022 年 6 月 2 日 (木) 8 時 53 分 19 秒 (日本時間)