## 71×10118-359

### c115

name 名前 Dmitry Domanov November 26, 2022 01:01:14 UTC 2022 年 11 月 26 日 (土) 10 時 1 分 14 秒 (日本時間) `2442758596962034026595104161290877500817119953209131100445545406065610431611360547728406530078615540761383771137603<115>` ```8479325435840345736446909990075887523818171<43> 288084071716011900561083690509101289822712598008436351075092511468768793<72>``` ```N=2442758596962034026595104161290877500817119953209131100445545406065610431611360547728406530078615540761383771137603 ( 115 digits) SNFS difficulty: 119 digits. Divisors found: r1=8479325435840345736446909990075887523818171 (pp43) r2=288084071716011900561083690509101289822712598008436351075092511468768793 (pp72) Version: Msieve v. 1.54 (SVN 1043M) Total time: 0.01 hours. Scaled time: 0.00 units (timescale=0.000). Factorization parameters were as follows: n: 2442758596962034026595104161290877500817119953209131100445545406065610431611360547728406530078615540761383771137603 m: 100000000000000000000000000000 deg: 4 c4: 1420 c0: -7 skew: 0.26 # Murphy_E = 4.049e-08 type: snfs lss: 1 rlim: 680000 alim: 680000 lpbr: 25 lpba: 25 mfbr: 45 mfba: 45 rlambda: 2.2 alambda: 2.2 Factor base limits: 680000/680000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 45/45 Sieved rational special-q in [340000, 640001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 60335 x 60560 Total sieving time: 0.00 hours. Total relation processing time: 0.01 hours. Matrix solve time: 0.00 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,119.000,4,0,0,0,0,0,0,0,0,680000,680000,25,25,45,45,2.2,2.2,50000 total time: 0.01 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 JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

## 71×10131-359

### c108

name 名前 Eric Jeancolas November 28, 2022 17:30:11 UTC 2022 年 11 月 29 日 (火) 2 時 30 分 11 秒 (日本時間) `628325580010600734360174526544769243185328247393027043296266971661220034717411941676150059036077124171030369<108>` ```865204467593063912287714317822834793<36> 726216291691785797544163763813827525408624727218926926145057705407205433<72>``` ```628325580010600734360174526544769243185328247393027043296266971661220034717411941676150059036077124171030369=865204467593063912287714317822834793*726216291691785797544163763813827525408624727218926926145057705407205433 cado polynomial n: 628325580010600734360174526544769243185328247393027043296266971661220034717411941676150059036077124171030369 skew: 19619.558 c0: -9072699234967636932901362 c1: 1210435325098217667053 c2: 200987856242629626 c3: -3431536859963 c4: -256936074 c5: 3600 Y0: -1009371326210417633152 Y1: 7204847802709 # MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 2.149e-06 # f(x) = 3600*x^5-256936074*x^4-3431536859963*x^3+200987856242629626*x^2+1210435325098217667053*x-9072699234967636932901362 # g(x) = 7204847802709*x-1009371326210417633152 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: 726216291691785797544163763813827525408624727218926926145057705407205433 865204467593063912287714317822834793 Info:Square Root: Total cpu/real time for sqrt: 206.31/70.1124 Info:Generate Free Relations: Total cpu/real time for freerel: 62.23/20.6556 Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 11711.3 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11566/31.020/38.175/43.350/1.039 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 8849/30.500/33.848/38.690/0.855 Info:Polynomial Selection (size optimized): Total time: 717.96 Info:Quadratic Characters: Total cpu/real time for characters: 10.36/5.09977 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 63.51/84.6982 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 68.89999999999999s Info:Square Root: Total cpu/real time for sqrt: 206.31/70.1124 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 19.81/22.4541 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 21.799999999999997s Info:Filtering - Singleton removal: Total cpu/real time for purge: 39.54/53.8172 Info:Filtering - Merging: Merged matrix has 274981 rows and total weight 42929433 (156.1 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 44.62/16.6524 Info:Filtering - Merging: Total cpu/real time for replay: 9.25/7.66468 Info:Generate Factor Base: Total cpu/real time for makefb: 2.3/1.12959 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 4806530 Info:Lattice Sieving: Average J: 1910.33 for 56847 special-q, max bucket fill -bkmult 1.0,1s:1.296070 Info:Lattice Sieving: Total time: 7578.45s Info:Linear Algebra: Total cpu/real time for bwc: 2112.94/817.22 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 539.43, WCT time 246.37, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (8704 iterations) Info:Linear Algebra: Lingen CPU time 1251.36, WCT time 423.36 Info:Linear Algebra: Mksol: CPU time 300.85, WCT time 136.3, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (4352 iterations) Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 219.63 Info:Polynomial Selection (root optimized): Rootsieve time: 218.55 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 14059.1/5184.37 Info:root: Cleaning up computation data in /tmp/cado.l0l1ely7 726216291691785797544163763813827525408624727218926926145057705407205433 865204467593063912287714317822834793``` `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 JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

## 71×10136-359

### c113

name 名前 Eric Jeancolas November 29, 2022 14:20:55 UTC 2022 年 11 月 29 日 (火) 23 時 20 分 55 秒 (日本時間) `15099464575094297579202740726452848191449005888192188332265395449713214492466775369113954100985199618639337935013<113>` ```432768358378523731971210799665026332512853<42> 34890407957892915426555012756504743108149163399930259252718471098856721<71>``` ```15099464575094297579202740726452848191449005888192188332265395449713214492466775369113954100985199618639337935013=432768358378523731971210799665026332512853*34890407957892915426555012756504743108149163399930259252718471098856721 cado polynomial n: 15099464575094297579202740726452848191449005888192188332265395449713214492466775369113954100985199618639337935013 skew: 34730.369 c0: -168147207646290628437707928 c1: -8567614955734742647242 c2: -957465174381300237 c3: 25238002641091 c4: 413462240 c5: 4800 Y0: -10470005293432806693232 Y1: 12816777253049 # MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.329e-06 # f(x) = 4800*x^5+413462240*x^4+25238002641091*x^3-957465174381300237*x^2-8567614955734742647242*x-168147207646290628437707928 # g(x) = 12816777253049*x-10470005293432806693232 cado parameters (extracts) tasks.lim0 = 2500000 tasks.lim1 = 4500000 tasks.lpb0 = 26 tasks.lpb1 = 26 tasks.sieve.mfb0 = 52 tasks.sieve.mfb1 = 52 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 432768358378523731971210799665026332512853 34890407957892915426555012756504743108149163399930259252718471098856721 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): 21377/32.560/39.904/45.360/1.055 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16438/31.440/35.337/40.350/0.813 Info:Polynomial Selection (size optimized): Total time: 2348.31 Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 339.32 Info:Polynomial Selection (root optimized): Rootsieve time: 317.55 Info:Generate Factor Base: Total cpu/real time for makefb: 4.55/0.752997 Info:Generate Free Relations: Total cpu/real time for freerel: 68.12/8.57308 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 6433149 Info:Lattice Sieving: Average J: 1898.47 for 89783 special-q, max bucket fill -bkmult 1.0,1s:1.225900 Info:Lattice Sieving: Total time: 18276.9s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 15.44/25.5184 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 25.099999999999998s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 112.68/88.4017 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 77.5s Info:Filtering - Singleton removal: Total cpu/real time for purge: 82.86/68.269 Info:Filtering - Merging: Merged matrix has 405166 rows and total weight 63117196 (155.8 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 69.46/10.8008 Info:Filtering - Merging: Total cpu/real time for replay: 12.53/10.1228 Info:Linear Algebra: Total cpu/real time for bwc: 1434.69/376.57 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: WCT time 227.96, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12800 iterations) Info:Linear Algebra: Lingen CPU time 37.77, WCT time 10.27 Info:Linear Algebra: Mksol: WCT time 130.61, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6400 iterations) Info:Quadratic Characters: Total cpu/real time for characters: 19.97/4.7034 Info:Square Root: Total cpu/real time for sqrt: 582.16/78.9869 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 53485.1/5595.05 Info:root: Cleaning up computation data in /tmp/cado.g1pjcft4 432768358378523731971210799665026332512853 34890407957892915426555012756504743108149163399930259252718471098856721``` `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 JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

## 71×10138-359

### c137

name 名前 Bob Backstrom November 26, 2022 04:52:29 UTC 2022 年 11 月 26 日 (土) 13 時 52 分 29 秒 (日本時間) `68599033816425120772946859903381642512077294685990338164251207729468599033816425120772946859903381642512077294685990338164251207729468599<137>` ```41711614011877869261680106427318522764855983450337180556474328401<65> 1644602718966730577475530057790654501859137975825040905651106159588996999<73>``` ```Number: n N=68599033816425120772946859903381642512077294685990338164251207729468599033816425120772946859903381642512077294685990338164251207729468599 ( 137 digits) SNFS difficulty: 139 digits. Divisors found: Sat Nov 26 15:41:41 2022 p65 factor: 41711614011877869261680106427318522764855983450337180556474328401 Sat Nov 26 15:41:41 2022 p73 factor: 1644602718966730577475530057790654501859137975825040905651106159588996999 Sat Nov 26 15:41:41 2022 elapsed time 00:07:05 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=1.806). Factorization parameters were as follows: # # N = 71x10^138-35 = 78(137)5 # n: 68599033816425120772946859903381642512077294685990338164251207729468599033816425120772946859903381642512077294685990338164251207729468599 m: 10000000000000000000000000000000000 deg: 4 c4: 1420 c0: -7 skew: 0.26 # Murphy_E = 4.344e-09 type: snfs lss: 1 rlim: 1460000 alim: 1460000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.3 alambda: 2.3 Factor base limits: 1460000/1460000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved special-q in [100000, 13530000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 384531 hash collisions in 5892276 relations (6176046 unique) Msieve: matrix is 214919 x 215144 (71.3 MB) Sieving start time : 2022/11/26 14:47:58 Sieving end time : 2022/11/26 15:31:10 Total sieving time: 0hrs 43min 12secs. Total relation processing time: 0hrs 4min 25sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 14sec. Prototype def-par.txt line would be: snfs,139,4,0,0,0,0,0,0,0,0,1460000,1460000,26,26,48,48,2.3,2.3,100000 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 JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

## 71×10140-359

### c121

name 名前 Eric Jeancolas December 1, 2022 09:33:34 UTC 2022 年 12 月 1 日 (木) 18 時 33 分 34 秒 (日本時間) `4624996814791194017599046437053241623121432080017691435394875368796823903929054234172958473295406671300022430886022451613<121>` ```285675712881199098500112660452279573490209459421111713<54> 16189674537416983527871533221724682118696650483068321039861698802301<68>``` ```4624996814791194017599046437053241623121432080017691435394875368796823903929054234172958473295406671300022430886022451613=285675712881199098500112660452279573490209459421111713*16189674537416983527871533221724682118696650483068321039861698802301 cado polynomial n: 4624996814791194017599046437053241623121432080017691435394875368796823903929054234172958473295406671300022430886022451613 skew: 15351.647 c0: -274492724795386111832047440 c1: 16953687452819737813930 c2: 3652227094962700757 c3: 256481746758523 c4: -9383267670 c5: -415800 Y0: -297514528052181896608863 Y1: 27582340482070973 # MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.441e-06 # f(x) = -415800*x^5-9383267670*x^4+256481746758523*x^3+3652227094962700757*x^2+16953687452819737813930*x-274492724795386111832047440 # g(x) = 27582340482070973*x-297514528052181896608863 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: 16189674537416983527871533221724682118696650483068321039861698802301 285675712881199098500112660452279573490209459421111713 Info:Square Root: Total cpu/real time for sqrt: 1095.69/144.839 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): 20322/35.830/43.156/47.850/1.032 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16306/34.510/38.214/43.620/0.871 Info:Polynomial Selection (size optimized): Total time: 3043.08 Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 2317.37 Info:Polynomial Selection (root optimized): Rootsieve time: 2270.01 Info:Generate Factor Base: Total cpu/real time for makefb: 5.31/0.818888 Info:Generate Free Relations: Total cpu/real time for freerel: 130.15/16.3664 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 13426305 Info:Lattice Sieving: Average J: 1901.78 for 262709 special-q, max bucket fill -bkmult 1.0,1s:1.161720 Info:Lattice Sieving: Total time: 52680.7s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 31.58/40.1691 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 40.1s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 152.67/115.485 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 110.5s Info:Filtering - Singleton removal: Total cpu/real time for purge: 60.09/41.8676 Info:Filtering - Merging: Merged matrix has 725040 rows and total weight 73304128 (101.1 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 50.15/9.29712 Info:Filtering - Merging: Total cpu/real time for replay: 15.95/12.553 Info:Linear Algebra: Total cpu/real time for bwc: 3328.82/876.53 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: WCT time 530.32, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (22784 iterations) Info:Linear Algebra: Lingen CPU time 78.9, WCT time 21.34 Info:Linear Algebra: Mksol: WCT time 310.0, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11520 iterations) Info:Quadratic Characters: Total cpu/real time for characters: 31.66/7.17808 Info:Square Root: Total cpu/real time for sqrt: 1095.69/144.839 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 133050/15332.5 Info:root: Cleaning up computation data in /tmp/cado.kvbhd0si 16189674537416983527871533221724682118696650483068321039861698802301 285675712881199098500112660452279573490209459421111713``` `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 JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

## 71×10141-359

### c140

name 名前 Bob Backstrom November 26, 2022 02:27:14 UTC 2022 年 11 月 26 日 (土) 11 時 27 分 14 秒 (日本時間) `10448859455481972038263428991905813097866077998528329654157468727005150846210448859455481972038263428991905813097866077998528329654157468727<140>` ```178641934886282216359419374303501781779134005542409538297<57> 58490518825455983798439826461080995222446034173131010826408392791846062670624982191<83>``` ```Number: n N=10448859455481972038263428991905813097866077998528329654157468727005150846210448859455481972038263428991905813097866077998528329654157468727 ( 140 digits) SNFS difficulty: 142 digits. Divisors found: Sat Nov 26 13:18:23 2022 p57 factor: 178641934886282216359419374303501781779134005542409538297 Sat Nov 26 13:18:23 2022 p83 factor: 58490518825455983798439826461080995222446034173131010826408392791846062670624982191 Sat Nov 26 13:18:23 2022 elapsed time 00:03:21 (Msieve 1.54 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.299). Factorization parameters were as follows: # # N = 71x10^141-35 = 78(140)5 # n: 10448859455481972038263428991905813097866077998528329654157468727005150846210448859455481972038263428991905813097866077998528329654157468727 m: 100000000000000000000000000000000000 deg: 4 c4: 142 c0: -7 skew: 0.47 # Murphy_E = 4.111e-09 type: snfs lss: 1 rlim: 1640000 alim: 1640000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.3 alambda: 2.3 Factor base limits: 1640000/1640000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved special-q in [100000, 6420000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 528508 hash collisions in 7235280 relations (7497259 unique) Msieve: matrix is 215718 x 215966 (70.0 MB) Sieving start time : 2022/11/26 12:57:03 Sieving end time : 2022/11/26 13:14:50 Total sieving time: 0hrs 17min 47secs. Total relation processing time: 0hrs 1min 13sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 15sec. Prototype def-par.txt line would be: snfs,142,4,0,0,0,0,0,0,0,0,1640000,1640000,26,26,48,48,2.3,2.3,100000 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 JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

## 71×10142-359

### c133

name 名前 Bob Backstrom November 26, 2022 07:45:59 UTC 2022 年 11 月 26 日 (土) 16 時 45 分 59 秒 (日本時間) `3083787054945766602062954454640289014845619541168474887673556553156367902082324127236754976886102722726579710394143985361245824193213<133>` ```18367132090568113839528906227471401249<38> 361475571688901489551099426237043986425069187<45> 464476855649149598308772542736051321438508438563551<51>``` ```Number: n N=3083787054945766602062954454640289014845619541168474887673556553156367902082324127236754976886102722726579710394143985361245824193213 ( 133 digits) SNFS difficulty: 143 digits. Divisors found: Sat Nov 26 18:26:35 2022 found factor: 361475571688901489551099426237043986425069187 Sat Nov 26 18:26:55 2022 p38 factor: 18367132090568113839528906227471401249 Sat Nov 26 18:26:55 2022 p45 factor: 361475571688901489551099426237043986425069187 Sat Nov 26 18:26:55 2022 p51 factor: 464476855649149598308772542736051321438508438563551 Sat Nov 26 18:26:55 2022 elapsed time 00:03:06 (Msieve 1.54 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.301). Factorization parameters were as follows: # # N = 71x10^142-35 = 78(141)5 # n: 3083787054945766602062954454640289014845619541168474887673556553156367902082324127236754976886102722726579710394143985361245824193213 m: 100000000000000000000000000000000000 deg: 4 c4: 1420 c0: -7 skew: 0.26 # Murphy_E = 2.74e-09 type: snfs lss: 1 rlim: 1700000 alim: 1700000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.3 alambda: 2.3 Factor base limits: 1700000/1700000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved special-q in [100000, 6450000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 437630 hash collisions in 6159232 relations (6410594 unique) Msieve: matrix is 268980 x 269205 (90.1 MB) Sieving start time : 2022/11/26 18:03:28 Sieving end time : 2022/11/26 18:23:34 Total sieving time: 0hrs 20min 6secs. Total relation processing time: 0hrs 1min 8sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 30sec. Prototype def-par.txt line would be: snfs,143,4,0,0,0,0,0,0,0,0,1700000,1700000,26,26,48,48,2.3,2.3,100000 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 JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

## 71×10145-359

### c102

name 名前 Ignacio Santos November 26, 2022 08:28:51 UTC 2022 年 11 月 26 日 (土) 17 時 28 分 51 秒 (日本時間) `260017754010194808558075647370560536479063498125734752699153063339331309730605945966100159957602016321<102>` ```722420906550203351828360707986465196538309736497<48> 359925566456630970595023026820256559555328049234309393<54>``` ```Number: 1 N=260017754010194808558075647370560536479063498125734752699153063339331309730605945966100159957602016321 ( 102 digits) Divisors found: r1=722420906550203351828360707986465196538309736497 (pp48) r2=359925566456630970595023026820256559555328049234309393 (pp54) Version: Msieve v. 1.52 (SVN 927) Total time: 4.00 hours. Scaled time: 31.35 units (timescale=7.843). Factorization parameters were as follows: name: 1 n: 260017754010194808558075647370560536479063498125734752699153063339331309730605945966100159957602016321 skew: 19752.78 # norm 6.25e+013 c5: 720 c4: 227638126 c3: -1130565590866 c2: -75166385276794259 c1: 190482886644952829122 c0: 3495074344509690302280109 # alpha -5.18 Y1: 9523679957 Y0: -51467019637201359696 # Murphy_E 2.63e-009 # M 13610265767561349384300322223958141728319737951933396623503847613773263859290507481588863936665908211 type: gnfs rlim: 2300000 alim: 2300000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.6 alambda: 2.6 qintsize: 100000 Factor base limits: 2300000/2300000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved algebraic special-q in [1150000, 1750001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 242303 x 242530 Total sieving time: 3.95 hours. Total relation processing time: 0.01 hours. Matrix solve time: 0.03 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: gnfs,101,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000 total time: 4.00 hours. --------- CPU info (if available) ----------``` `GNFS, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

## 71×10146-359

### c144

name 名前 Bob Backstrom November 25, 2022 18:41:55 UTC 2022 年 11 月 26 日 (土) 3 時 41 分 55 秒 (日本時間) `497721696459866806869961444093936207500876270592358920434630213810024535576586049772169645986680686996144409393620750087627059235892043463021381<144>` ```484526418231214621596593151060030052093<39> 2192863842055016541397276013355719190470291801<46> 468443745451733330808157269842043083689692290796575847200017<60>``` ```Number: n N=497721696459866806869961444093936207500876270592358920434630213810024535576586049772169645986680686996144409393620750087627059235892043463021381 ( 144 digits) SNFS difficulty: 147 digits. Divisors found: Sat Nov 26 05:34:23 2022 found factor: 468443745451733330808157269842043083689692290796575847200017 Sat Nov 26 05:34:37 2022 p39 factor: 484526418231214621596593151060030052093 Sat Nov 26 05:34:37 2022 p46 factor: 2192863842055016541397276013355719190470291801 Sat Nov 26 05:34:37 2022 p60 factor: 468443745451733330808157269842043083689692290796575847200017 Sat Nov 26 05:34:37 2022 elapsed time 00:04:04 (Msieve 1.54 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.319). Factorization parameters were as follows: # # N = 71x10^146-35 = 78(145)5 # n: 497721696459866806869961444093936207500876270592358920434630213810024535576586049772169645986680686996144409393620750087627059235892043463021381 m: 100000000000000000000000000000 deg: 5 c5: 142 c0: -7 skew: 0.55 # Murphy_E = 2.08e-09 type: snfs lss: 1 rlim: 1980000 alim: 1980000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.3 alambda: 2.3 Factor base limits: 1980000/1980000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved special-q in [100000, 6590000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 915500 hash collisions in 8405278 relations (8040746 unique) Msieve: matrix is 294162 x 294410 (96.0 MB) Sieving start time : 2022/11/26 05:13:49 Sieving end time : 2022/11/26 05:30:10 Total sieving time: 0hrs 16min 21secs. Total relation processing time: 0hrs 1min 22sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 27sec. Prototype def-par.txt line would be: snfs,147,5,0,0,0,0,0,0,0,0,1980000,1980000,26,26,49,49,2.3,2.3,100000 total time: 0.00 hours. --------- CPU info (if available) ----------```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

## 71×10149-359

### c118

name 名前 Eric Jeancolas November 30, 2022 18:56:56 UTC 2022 年 12 月 1 日 (木) 3 時 56 分 56 秒 (日本時間) `7854108838224561535550080075092197165740011740898216088051618418855024902104302749810846344724489596354570643453189303<118>` ```18380679368444313027443359501060188620118345937<47> 427302423419037658182324220090782847953398938895454565110539159516704519<72>``` ```7854108838224561535550080075092197165740011740898216088051618418855024902104302749810846344724489596354570643453189303=18380679368444313027443359501060188620118345937*427302423419037658182324220090782847953398938895454565110539159516704519 cado polynomial n: 7854108838224561535550080075092197165740011740898216088051618418855024902104302749810846344724489596354570643453189303 skew: 18533.019 c0: 94086323880797034670868940 c1: -68766527517652004011189 c2: -4579632285766269126 c3: 440974585284045 c4: 5554005650 c5: 33000 Y0: -47673935883545462592374 Y1: 200444819089896317 # MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.755e-06 # f(x) = 33000*x^5+5554005650*x^4+440974585284045*x^3-4579632285766269126*x^2-68766527517652004011189*x+94086323880797034670868940 # g(x) = 200444819089896317*x-47673935883545462592374 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: 427302423419037658182324220090782847953398938895454565110539159516704519 18380679368444313027443359501060188620118345937 Info:Square Root: Total cpu/real time for sqrt: 157.97/55.0703 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 152.01/196.539 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 183.8s Info:Square Root: Total cpu/real time for sqrt: 157.97/55.0703 Info:Filtering - Singleton removal: Total cpu/real time for purge: 56.57/68.9885 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 57.67/67.4177 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 67.3s Info:Filtering - Merging: Merged matrix has 582295 rows and total weight 58681303 (100.8 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 42.52/16.6458 Info:Filtering - Merging: Total cpu/real time for replay: 14.08/11.4408 Info:Linear Algebra: Total cpu/real time for bwc: 5968.78/2253.48 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 1902.43, WCT time 786.65, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (18432 iterations) Info:Linear Algebra: Lingen CPU time 2917.49, WCT time 989.02 Info:Linear Algebra: Mksol: CPU time 1095.37, WCT time 451.55, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (9216 iterations) Info:Generate Free Relations: Total cpu/real time for freerel: 127.02/41.0074 Info:Generate Factor Base: Total cpu/real time for makefb: 5.06/2.47098 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 13455578 Info:Lattice Sieving: Average J: 1892.55 for 209592 special-q, max bucket fill -bkmult 1.0,1s:1.262070 Info:Lattice Sieving: Total time: 34460.5s Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 1105.92 Info:Polynomial Selection (root optimized): Rootsieve time: 1103.3 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): 20149/34.460/42.069/47.350/1.029 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15879/33.850/37.233/42.580/0.820 Info:Polynomial Selection (size optimized): Total time: 2308.87 Info:Quadratic Characters: Total cpu/real time for characters: 17.56/8.75354 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 58366.6/21340.4 Info:root: Cleaning up computation data in /tmp/cado.a8jl6wez 427302423419037658182324220090782847953398938895454565110539159516704519 18380679368444313027443359501060188620118345937``` `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 JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

## 71×10150-359

### c129

name 名前 Eric Jeancolas December 4, 2022 22:19:13 UTC 2022 年 12 月 5 日 (月) 7 時 19 分 13 秒 (日本時間) `434245991702301563497743490111371471276577338167640420493749427879358858808243963682628229046750932095017497347037080518027537261<129>` ```266338575166481226313607782457393989180245662309209319<54> 1630428455325578860811055401470757902892621123891420987821371168140044295819<76>``` ```434245991702301563497743490111371471276577338167640420493749427879358858808243963682628229046750932095017497347037080518027537261=266338575166481226313607782457393989180245662309209319*1630428455325578860811055401470757902892621123891420987821371168140044295819 cado polynomial n: 434245991702301563497743490111371471276577338167640420493749427879358858808243963682628229046750932095017497347037080518027537261 skew: 0.26 type: snfs c0: -7 c4: 1420 Y0: 10000000000000000000000000000000000000 Y1: -1 # f(x) = 1420*x^4-7 # g(x) = -x+10000000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 2300000 tasks.lim1 = 2300000 tasks.lpb0 = 27 tasks.lpb1 = 27 tasks.sieve.mfb0 = 49 tasks.sieve.mfb1 = 49 tasks.sieve.lambda0 = 2.4 tasks.sieve.lambda1 = 2.4 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 266338575166481226313607782457393989180245662309209319 1630428455325578860811055401470757902892621123891420987821371168140044295819 Info:Complete Factorization / Discrete logarithm: Square Root Info:Square Root: Total cpu/real time for sqrt: 52.13/17.1658 Info:HTTP server: Got notification to stop serving Workunits Info:Filtering - Singleton removal: Total cpu/real time for purge: 87.16/68.5034 Info:Filtering - Merging: Merged matrix has 298715 rows and total weight 50865897 (170.3 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 67.05/18.8651 Info:Filtering - Merging: Total cpu/real time for replay: 8.78/7.6503 Info:Generate Factor Base: Total cpu/real time for makefb: 1.17/0.714983 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 11644261 Info:Lattice Sieving: Average J: 1899.66 for 410137 special-q, max bucket fill -bkmult 1.0,1s:1.315620 Info:Lattice Sieving: Total time: 39490.7s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 95.55/90.7487 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 77.30000000000001s Info:Linear Algebra: Total cpu/real time for bwc: 1355.49/395.91 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 840.48, WCT time 226.95, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9472 iterations) Info:Linear Algebra: Lingen CPU time 33.72, WCT time 34.33 Info:Linear Algebra: Mksol: CPU time 451.82, WCT time 122.84, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4736 iterations) Info:Square Root: Total cpu/real time for sqrt: 52.13/17.1658 Info:Generate Free Relations: Total cpu/real time for freerel: 76.31/21.4129 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 43.96/39.026 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 38.9s Info:Quadratic Characters: Total cpu/real time for characters: 9.06/3.80961 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 73340/20545.5 Info:root: Cleaning up computation data in /tmp/cado.8l2fnrnk 266338575166481226313607782457393989180245662309209319 1630428455325578860811055401470757902892621123891420987821371168140044295819``` `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 JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

## 71×10152-359

### c122

name 名前 Eric Jeancolas December 2, 2022 04:09:45 UTC 2022 年 12 月 2 日 (金) 13 時 9 分 45 秒 (日本時間) `61521333689613258939437260198369895383387063511029147829544859366053655016896716827644711040547024866803288150617571270879<122>` ```10804644424746758931090086665981301542943567<44> 5693971154544052131632847259595935329205956032532868508872402218094482115386737<79>``` ```61521333689613258939437260198369895383387063511029147829544859366053655016896716827644711040547024866803288150617571270879=10804644424746758931090086665981301542943567*5693971154544052131632847259595935329205956032532868508872402218094482115386737 cado polynomial n: 61521333689613258939437260198369895383387063511029147829544859366053655016896716827644711040547024866803288150617571270879 skew: 247011.591 c0: 654559078741594462600098474735 c1: -5114528126858913819424208 c2: 140514287676329708283 c3: 241550293344056 c4: -1997211510 c5: -900 Y0: -1004641885320619178304656 Y1: 853687827744257 # MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.180e-06 # f(x) = -900*x^5-1997211510*x^4+241550293344056*x^3+140514287676329708283*x^2-5114528126858913819424208*x+654559078741594462600098474735 # g(x) = 853687827744257*x-1004641885320619178304656 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: 5693971154544052131632847259595935329205956032532868508872402218094482115386737 10804644424746758931090086665981301542943567 Info:Square Root: Total cpu/real time for sqrt: 222.17/65.1479 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): 20074/36.180/43.616/48.080/1.037 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16155/34.680/38.625/44.140/0.873 Info:Polynomial Selection (size optimized): Total time: 2212.18 Info:Linear Algebra: Total cpu/real time for bwc: 6048.11/1577.84 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 3688.05, WCT time 960.25, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (25088 iterations) Info:Linear Algebra: Lingen CPU time 147.84, WCT time 37.59 Info:Linear Algebra: Mksol: CPU time 2130.21, WCT time 551.07, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12544 iterations) Info:Quadratic Characters: Total cpu/real time for characters: 24.77/9.64458 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 200.95/195.871 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 160.7s Info:Square Root: Total cpu/real time for sqrt: 222.17/65.1479 Info:Generate Free Relations: Total cpu/real time for freerel: 126.78/32.3356 Info:Filtering - Singleton removal: Total cpu/real time for purge: 130.15/147.594 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 59.41/60.5953 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 60.00s Info:Filtering - Merging: Merged matrix has 798985 rows and total weight 80042757 (100.2 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 59.44/19.3068 Info:Filtering - Merging: Total cpu/real time for replay: 19.47/15.3784 Info:Generate Factor Base: Total cpu/real time for makefb: 5.11/1.41526 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 14051311 Info:Lattice Sieving: Average J: 1941.13 for 335864 special-q, max bucket fill -bkmult 1.0,1s:1.284440 Info:Lattice Sieving: Total time: 40420.3s Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 1840.79 Info:Polynomial Selection (root optimized): Rootsieve time: 1838.41 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 85737.5/23353 Info:root: Cleaning up computation data in /tmp/cado.yxzmx34v 5693971154544052131632847259595935329205956032532868508872402218094482115386737 10804644424746758931090086665981301542943567``` `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 JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

## 71×10155-359

### c148

name 名前 Bob Backstrom November 27, 2022 16:12:44 UTC 2022 年 11 月 28 日 (月) 1 時 12 分 44 秒 (日本時間) `3292983685345984438643830492681539715037853624328921521336849525656483487979152055356001903724886555610513598061903784577682413897851196194064071783<148>` ```2591217540512293607578429280329063<34> 1270824866635839838871490439632991510611923016982509580995750499941043081788691740891941770725328902027640312285441<115>``` ```GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 3292983685345984438643830492681539715037853624328921521336849525656483487979152055356001903724886555610513598061903784577682413897851196194064071783 (148 digits) Using B1=25270000, B2=96190324246, polynomial Dickson(12), sigma=1:3864237565 Step 1 took 50372ms Step 2 took 17781ms ********** Factor found in step 2: 2591217540512293607578429280329063 Found prime factor of 34 digits: 2591217540512293607578429280329063 Prime cofactor 1270824866635839838871490439632991510611923016982509580995750499941043081788691740891941770725328902027640312285441 has 115 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

## 71×10159-359

### c123

name 名前 Eric Jeancolas December 2, 2022 14:35:04 UTC 2022 年 12 月 2 日 (金) 23 時 35 分 4 秒 (日本時間) `175275919247606831362097493482936982811106140616154866401688510736514537791692931688055854153582500527594957465837801870893<123>` ```1515363305286868291007078531706252137577014725141<49> 115665938746237451741801896151116474462721848917548086591130731148953311673<75>``` ```175275919247606831362097493482936982811106140616154866401688510736514537791692931688055854153582500527594957465837801870893=1515363305286868291007078531706252137577014725141*115665938746237451741801896151116474462721848917548086591130731148953311673 cado polynomial n: 175275919247606831362097493482936982811106140616154866401688510736514537791692931688055854153582500527594957465837801870893 skew: 47231.469 c0: -598059611734534051588228302 c1: -139062390275344717331617 c2: 22290699127269868188 c3: 135993999531658 c4: -5476107000 c5: -18900 Y0: -720394468875895165667165 Y1: 9340214427039229 # MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 3.210e-07 # f(x) = -18900*x^5-5476107000*x^4+135993999531658*x^3+22290699127269868188*x^2-139062390275344717331617*x-598059611734534051588228302 # g(x) = 9340214427039229*x-720394468875895165667165 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: 115665938746237451741801896151116474462721848917548086591130731148953311673 1515363305286868291007078531706252137577014725141 Info:Square Root: Total cpu/real time for sqrt: 251.16/75.6113 Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 2314.02 Info:Polynomial Selection (root optimized): Rootsieve time: 2311.6 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): 20250/36.250/43.531/48.000/0.914 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15896/35.410/38.902/44.250/0.859 Info:Polynomial Selection (size optimized): Total time: 1991.54 Info:Quadratic Characters: Total cpu/real time for characters: 27.13/12.3367 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 120.26/104.328 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 94.0s Info:Square Root: Total cpu/real time for sqrt: 251.16/75.6113 Info:Generate Free Relations: Total cpu/real time for freerel: 127.12/33.0358 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 49.05/51.5657 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 51.5s Info:Filtering - Singleton removal: Total cpu/real time for purge: 54.24/59.2564 Info:Filtering - Merging: Merged matrix has 725556 rows and total weight 123662826 (170.4 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 144.53/41.4466 Info:Filtering - Merging: Total cpu/real time for replay: 26.6/22.0398 Info:Generate Factor Base: Total cpu/real time for makefb: 8.53/2.35418 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 11622120 Info:Lattice Sieving: Average J: 3790.96 for 167707 special-q, max bucket fill -bkmult 1.0,1s:1.291350 Info:Lattice Sieving: Total time: 50370.5s Info:Linear Algebra: Total cpu/real time for bwc: 7796.35/2009.85 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 4885.68, WCT time 1252.02, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (22784 iterations) Info:Linear Algebra: Lingen CPU time 127.82, WCT time 32.52 Info:Linear Algebra: Mksol: CPU time 2671.71, WCT time 684.11, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11520 iterations) Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 106428/29048.9 Info:root: Cleaning up computation data in /tmp/cado.0ks3v816 115665938746237451741801896151116474462721848917548086591130731148953311673 1515363305286868291007078531706252137577014725141``` `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 JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

## 71×10162-359

### c131

name 名前 Eric Jeancolas December 5, 2022 21:02:02 UTC 2022 年 12 月 6 日 (火) 6 時 2 分 2 秒 (日本時間) `25520532999743022639592276031682448080202763622596137491450700254808720478964048564011562326481469113864537538296548461652598349403<131>` ```129945270930409131628886338799687126847040027265856034978734959<63> 196394472973243363023864826480361464773971901146299993521931258088917<69>``` ```25520532999743022639592276031682448080202763622596137491450700254808720478964048564011562326481469113864537538296548461652598349403=129945270930409131628886338799687126847040027265856034978734959*196394472973243363023864826480361464773971901146299993521931258088917 cado polynomial n: 25520532999743022639592276031682448080202763622596137491450700254808720478964048564011562326481469113864537538296548461652598349403 skew: 0.35 type: snfs c0: -7 c5: 1420 Y0: 100000000000000000000000000000000 Y1: -1 # f(x) = 1420*x^5-7 # g(x) = -x+100000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 3700000 tasks.lim1 = 3700000 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: 196394472973243363023864826480361464773971901146299993521931258088917 129945270930409131628886338799687126847040027265856034978734959 Info:Square Root: Total cpu/real time for sqrt: 318.1/97.9418 Info:Generate Free Relations: Total cpu/real time for freerel: 60.04/17.8546 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 46.56/43.6943 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 43.6s Info:Filtering - Singleton removal: Total cpu/real time for purge: 65.06/55.9517 Info:Filtering - Merging: Merged matrix has 530946 rows and total weight 90486278 (170.4 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 110.6/31.348 Info:Filtering - Merging: Total cpu/real time for replay: 17.21/14.7775 Info:Generate Factor Base: Total cpu/real time for makefb: 1.59/0.954781 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 11645583 Info:Lattice Sieving: Average J: 1893.46 for 370971 special-q, max bucket fill -bkmult 1.0,1s:1.232550 Info:Lattice Sieving: Total time: 44028.9s Info:Linear Algebra: Total cpu/real time for bwc: 4069.17/1094.18 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 2535.04, WCT time 675.73, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (16640 iterations) Info:Linear Algebra: Lingen CPU time 97.93, WCT time 25.61 Info:Linear Algebra: Mksol: CPU time 1386.93, WCT time 371.53, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8320 iterations) Info:Quadratic Characters: Total cpu/real time for characters: 17.11/6.87336 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 106.21/93.0263 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 85.4s Info:Square Root: Total cpu/real time for sqrt: 318.1/97.9418 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 84956.5/23648.2 Info:root: Cleaning up computation data in /tmp/cado.89ahrkjo 196394472973243363023864826480361464773971901146299993521931258088917 129945270930409131628886338799687126847040027265856034978734959``` `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 JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

## 71×10163-359

### c125

name 名前 Eric Jeancolas December 3, 2022 05:20:56 UTC 2022 年 12 月 3 日 (土) 14 時 20 分 56 秒 (日本時間) `36789138410533258345472440523561740201909614731222283648530343925592265247510304907843190596063253772330936498164081683356417<125>` ```3187456674606602688873628386553040330425476468156229<52> 11541847361760231631389914263650925055900481497812012536099714558180127373<74>``` ```36789138410533258345472440523561740201909614731222283648530343925592265247510304907843190596063253772330936498164081683356417=3187456674606602688873628386553040330425476468156229*11541847361760231631389914263650925055900481497812012536099714558180127373 cado polynomial n: 36789138410533258345472440523561740201909614731222283648530343925592265247510304907843190596063253772330936498164081683356417 skew: 29844.777 c0: 5117452870408175652562762184 c1: -338889468962932574872222 c2: -51949426091603333323 c3: 109447741910643 c4: -6075953892 c5: 277440 Y0: -767004782647246799650425 Y1: 33059053024649501 # MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.572e-07 # f(x) = 277440*x^5-6075953892*x^4+109447741910643*x^3-51949426091603333323*x^2-338889468962932574872222*x+5117452870408175652562762184 # g(x) = 33059053024649501*x-767004782647246799650425 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: 11541847361760231631389914263650925055900481497812012536099714558180127373 3187456674606602688873628386553040330425476468156229 Info:Square Root: Total cpu/real time for sqrt: 1633.94/247.915 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): 20027/36.530/44.376/48.620/0.873 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15805/36.580/39.748/45.130/0.960 Info:Polynomial Selection (size optimized): Total time: 2689.85 Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 2502.06 Info:Polynomial Selection (root optimized): Rootsieve time: 2456.32 Info:Generate Factor Base: Total cpu/real time for makefb: 8.61/1.35934 Info:Generate Free Relations: Total cpu/real time for freerel: 130.24/16.3844 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 11764130 Info:Lattice Sieving: Average J: 3772.26 for 206107 special-q, max bucket fill -bkmult 1.0,1s:1.145840 Info:Lattice Sieving: Total time: 92400.9s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 30.43/72.6374 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 72.5s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 174.07/138.014 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 127.7s Info:Filtering - Singleton removal: Total cpu/real time for purge: 97.05/107.987 Info:Filtering - Merging: Merged matrix has 814049 rows and total weight 138987247 (170.7 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 162.57/24.4804 Info:Filtering - Merging: Total cpu/real time for replay: 27.73/22.4336 Info:Linear Algebra: Total cpu/real time for bwc: 6640.43/1732.69 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: WCT time 1080.56, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (25600 iterations) Info:Linear Algebra: Lingen CPU time 79.79, WCT time 21.65 Info:Linear Algebra: Mksol: WCT time 603.79, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12800 iterations) Info:Quadratic Characters: Total cpu/real time for characters: 39.75/9.80092 Info:Square Root: Total cpu/real time for sqrt: 1633.94/247.915 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 213721/153.17 11541847361760231631389914263650925055900481497812012536099714558180127373 3187456674606602688873628386553040330425476468156229``` `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 JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

## 71×10165-359

### c150

name 名前 Erik Branger November 28, 2022 17:53:59 UTC 2022 年 11 月 29 日 (火) 2 時 53 分 59 秒 (日本時間) `282104570585034587483966341218251967993725614241063849498431570163927731785160104401999248978609820305195807369553124730555937506892519728057748137603<150>` ```286367869161132595644609340648467457196945862000390640532492040525903572821<75> 985112510741562460787806754755897659491593363195780225619729738612825460343<75>``` ```Number: 78885_165 N = 282104570585034587483966341218251967993725614241063849498431570163927731785160104401999248978609820305195807369553124730555937506892519728057748137603 (150 digits) SNFS difficulty: 167 digits. Divisors found: r1=286367869161132595644609340648467457196945862000390640532492040525903572821 (pp75) r2=985112510741562460787806754755897659491593363195780225619729738612825460343 (pp75) Version: Msieve v. 1.52 (SVN unknown) Total time: 1.38 hours. Factorization parameters were as follows: n: 282104570585034587483966341218251967993725614241063849498431570163927731785160104401999248978609820305195807369553124730555937506892519728057748137603 m: 10000000000000000000000000000000000000000000000000000000 deg: 3 c3: 71 c0: -35 skew: 1.00 type: snfs lss: 1 rlim: 536870912 alim: 44739242 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: 536870912/44739242 Large primes per side: 3 Large prime bits: 29/28 Total raw relations: 8361367 Relations: 1336388 relations Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G rational relations. Total batch smoothness checking time: 0.62 hours. Total relation processing time: 0.08 hours. Pruned matrix : 1179281 x 1179506 Matrix solve time: 0.63 hours. time per square root: 0.04 hours. Prototype def-par.txt line would be: snfs,167,3,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000 total time: 1.38 hours. Intel64 Family 6 Model 158 Stepping 10, GenuineIntel Windows-10-10.0.22621-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 JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

## 71×10166-359

### c148

name 名前 Bob Backstrom December 2, 2022 19:29:16 UTC 2022 年 12 月 3 日 (土) 4 時 29 分 16 秒 (日本時間) `5617072359486411825957041130979116378531881885075257225109562803854022077934187981600331670042176984916888882764250784544941604205060848825268273831<148>` ```361526863102024854319305938855104663294823281<45> 15537081563704557530688693343401650693916063252651287914843329415069415493446715544360804418015876166551<104>``` ```GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 5617072359486411825957041130979116378531881885075257225109562803854022077934187981600331670042176984916888882764250784544941604205060848825268273831 (148 digits) Using B1=32090000, B2=144291357226, polynomial Dickson(12), sigma=1:3079107631 Step 1 took 63095ms Step 2 took 22390ms ********** Factor found in step 2: 361526863102024854319305938855104663294823281 Found prime factor of 45 digits: 361526863102024854319305938855104663294823281 Prime cofactor 15537081563704557530688693343401650693916063252651287914843329415069415493446715544360804418015876166551 has 104 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

## 71×10168-359

### c115

name 名前 ebina November 26, 2022 09:33:42 UTC 2022 年 11 月 26 日 (土) 18 時 33 分 42 秒 (日本時間) `2427587919441279056233456011116373168430138427918199962971376729845363011644278354232828126741000989327970129136821<115>` ```6738519948470500092547108175431484409116138067812792873<55> 360255358447412416377602573240789290294405730629404369807277<60>``` ```Number: 78885_168 N = 2427587919441279056233456011116373168430138427918199962971376729845363011644278354232828126741000989327970129136821 (115 digits) Divisors found: r1=6738519948470500092547108175431484409116138067812792873 (pp55) r2=360255358447412416377602573240789290294405730629404369807277 (pp60) Version: Msieve v. 1.53 (SVN unknown) Total time: 5.13 hours. Factorization parameters were as follows: n: 2427587919441279056233456011116373168430138427918199962971376729845363011644278354232828126741000989327970129136821 # norm 5.315371e-11 alpha -5.939143 e 4.911e-10 rroots 3 skew: 331025.56 c0: -137266922546782286050798463565 c1: 1606057770824516127935263 c2: 21203093644589985285 c3: -68996198621307 c4: 61631036 c5: 168 Y0: -27037891415311826868712 Y1: 269498139503 type: gnfs Factor base limits: 3500000/3500000 Large primes per side: 3 Large prime bits: 27/27 Sieved algebraic special-q in [0, 0) Total raw relations: 8219366 Relations: 714726 relations Pruned matrix : 424809 x 425034 Polynomial selection time: 0.02 hours. Total sieving time: 4.92 hours. Total relation processing time: 0.07 hours. Matrix solve time: 0.11 hours. time per square root: 0.02 hours. Prototype def-par.txt line would be: gnfs,114,5,61,2000,0.00016,0.25,250,15,50000,2800,3500000,3500000,27,27,50,50,2.6,2.6,100000 total time: 5.13 hours. Intel64 Family 6 Model 60 Stepping 3, GenuineIntel processors: 2, speed: 2.99GHz Windows-7-6.1.7601-SP1 Running Python 3.2```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

## 71×10169-359

### c151

name 名前 Eric Jeancolas December 7, 2022 06:08:22 UTC 2022 年 12 月 7 日 (水) 15 時 8 分 22 秒 (日本時間) `2155578397310698704427076994697053619130299503409253741344473514221365307147224111083640388570566085787454889230745768583882131826157979333261529261433<151>` ```172173930833074130544696611582959895366348021914450339<54> 12519772226148292848464033838364675697326953295084526405283216348469720637446688726338955790634547<98>``` ```2155578397310698704427076994697053619130299503409253741344473514221365307147224111083640388570566085787454889230745768583882131826157979333261529261433=172173930833074130544696611582959895366348021914450339*12519772226148292848464033838364675697326953295084526405283216348469720637446688726338955790634547 cado polynomial n: 2155578397310698704427076994697053619130299503409253741344473514221365307147224111083640388570566085787454889230745768583882131826157979333261529261433 skew: 0.14 type: snfs c0: -7 c5: 142000 Y0: 1000000000000000000000000000000000 Y1: -1 # f(x) = 142000*x^5-7 # g(x) = -x+1000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 4800000 tasks.lim1 = 4800000 tasks.lpb0 = 27 tasks.lpb1 = 27 tasks.sieve.mfb0 = 52 tasks.sieve.mfb1 = 52 tasks.sieve.lambda0 = 2.4 tasks.sieve.lambda1 = 2.4 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 172173930833074130544696611582959895366348021914450339 12519772226148292848464033838364675697326953295084526405283216348469720637446688726338955790634547 Info:Complete Factorization / Discrete logarithm: Square Root Info:Square Root: Total cpu/real time for sqrt: 506.87/154.916 Info:HTTP server: Got notification to stop serving Workunits Info:Filtering - Singleton removal: Total cpu/real time for purge: 103.97/95.72 Info:Filtering - Merging: Merged matrix has 878600 rows and total weight 149828428 (170.5 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 217.09/61.6634 Info:Filtering - Merging: Total cpu/real time for replay: 31.47/28.4408 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 12080361 Info:Lattice Sieving: Average J: 1893.55 for 574829 special-q, max bucket fill -bkmult 1.0,1s:1.223390 Info:Lattice Sieving: Total time: 70702.8s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 167.17/179.777 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 131.0s Info:Linear Algebra: Total cpu/real time for bwc: 12971.8/3622.19 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 8229.43, WCT time 2220.13, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (27648 iterations) Info:Linear Algebra: Lingen CPU time 114.01, WCT time 116.69 Info:Linear Algebra: Mksol: CPU time 4463.55, WCT time 1223.33, iteration CPU time 0.08, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (13824 iterations) Info:Generate Factor Base: Total cpu/real time for makefb: 2.07/1.34319 Info:Generate Free Relations: Total cpu/real time for freerel: 63.43/20.2379 Info:Square Root: Total cpu/real time for sqrt: 506.87/154.916 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 47.67/44.4912 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 44.099999999999994s Info:Quadratic Characters: Total cpu/real time for characters: 31.65/14.8393 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 142694/39548.4 Info:root: Cleaning up computation data in /tmp/cado.8q9km0l8 172173930833074130544696611582959895366348021914450339 12519772226148292848464033838364675697326953295084526405283216348469720637446688726338955790634547``` `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 JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

## 71×10170-359

### c156

name 名前 Bob Backstrom November 29, 2022 15:05:50 UTC 2022 年 11 月 30 日 (水) 0 時 5 分 50 秒 (日本時間) `472336519946179540000346328345282830632519026000668404518111309817846210791490980610412379376446266253672976017541606552398259880801453245465759575766053107<156>` ```374395515327725497983797609539812076707783828314701<51> 1261597697111093348592599988398774574914007876344367932038291157113754433835936360211537607118060027910207<106>``` ```Number: n N=472336519946179540000346328345282830632519026000668404518111309817846210791490980610412379376446266253672976017541606552398259880801453245465759575766053107 ( 156 digits) SNFS difficulty: 171 digits. Divisors found: Wed Nov 30 02:01:34 2022 p51 factor: 374395515327725497983797609539812076707783828314701 Wed Nov 30 02:01:34 2022 p106 factor: 1261597697111093348592599988398774574914007876344367932038291157113754433835936360211537607118060027910207 Wed Nov 30 02:01:34 2022 elapsed time 00:13:10 (Msieve 1.54 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.299). Factorization parameters were as follows: # # N = 71x10^170-35 = 78(169)5 # n: 472336519946179540000346328345282830632519026000668404518111309817846210791490980610412379376446266253672976017541606552398259880801453245465759575766053107 m: 10000000000000000000000000000000000 deg: 5 c5: 71 c0: -35 skew: 0.87 # Murphy_E = 1.768e-10 type: snfs lss: 1 rlim: 5100000 alim: 5100000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 5100000/5100000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved special-q in [100000, 22550000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1689452 hash collisions in 13993826 relations (13105479 unique) Msieve: matrix is 745033 x 745258 (257.3 MB) Sieving start time : 2022/11/29 23:44:26 Sieving end time : 2022/11/30 01:47:45 Total sieving time: 2hrs 3min 19secs. Total relation processing time: 0hrs 8min 19sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 26sec. Prototype def-par.txt line would be: snfs,171,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ----------```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

## 71×10171-359

### c157

name 名前 Bob Backstrom November 27, 2022 23:06:30 UTC 2022 年 11 月 28 日 (月) 8 時 6 分 30 秒 (日本時間) `3580531644941784626225221399655959006376815870412414705685866023519901308832491453095880006599627136621876572009521748428102705564619008770487183644366226633<157>` ```1499866782962891374393123183308471762259066776789245575610720612563560791<73> 2387233110042394722426574860705886505883800170631252428122526144422811403009901104863<85>``` ```Number: n N=3580531644941784626225221399655959006376815870412414705685866023519901308832491453095880006599627136621876572009521748428102705564619008770487183644366226633 ( 157 digits) SNFS difficulty: 172 digits. Divisors found: Mon Nov 28 09:54:08 2022 p73 factor: 1499866782962891374393123183308471762259066776789245575610720612563560791 Mon Nov 28 09:54:08 2022 p85 factor: 2387233110042394722426574860705886505883800170631252428122526144422811403009901104863 Mon Nov 28 09:54:08 2022 elapsed time 00:12:11 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.328). Factorization parameters were as follows: # # N = 71x10^171-35 = 78(170)5 # n: 3580531644941784626225221399655959006376815870412414705685866023519901308832491453095880006599627136621876572009521748428102705564619008770487183644366226633 m: 10000000000000000000000000000000000 deg: 5 c5: 142 c0: -7 skew: 0.55 # Murphy_E = 2.24e-10 type: snfs lss: 1 rlim: 5200000 alim: 5200000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 5200000/5200000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved special-q in [100000, 22600000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1387224 hash collisions in 13972903 relations (13468266 unique) Msieve: matrix is 742065 x 742290 (257.5 MB) Sieving start time : 2022/11/28 07:32:36 Sieving end time : 2022/11/28 09:41:24 Total sieving time: 2hrs 8min 48secs. Total relation processing time: 0hrs 8min 1sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 43sec. Prototype def-par.txt line would be: snfs,172,5,0,0,0,0,0,0,0,0,5200000,5200000,27,27,52,52,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ----------```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

## 71×10174-359

### c137

name 名前 Eric Jeancolas December 10, 2022 12:19:29 UTC 2022 年 12 月 10 日 (土) 21 時 19 分 29 秒 (日本時間) `79232073855648831646505797472481290712025483517381867720574081878751821038743468545650889360662756711229374989127050523458042674786344817<137>` ```718022097377540679627699405820722943<36> 110347681700926946405378926604025969445498979634582602765498894406038694408720417546119852954380882319<102>``` ```79232073855648831646505797472481290712025483517381867720574081878751821038743468545650889360662756711229374989127050523458042674786344817=718022097377540679627699405820722943*110347681700926946405378926604025969445498979634582602765498894406038694408720417546119852954380882319 cado polynomial n: 79232073855648831646505797472481290712025483517381867720574081878751821038743468545650889360662756711229374989127050523458042674786344817 skew: 0.14 type: snfs c0: -7 c5: 142000 Y0: 10000000000000000000000000000000000 Y1: -1 # f(x) = 142000*x^5-7 # g(x) = -x+10000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 5800000 tasks.lim1 = 5800000 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:Square Root: Factors: 718022097377540679627699405820722943 110347681700926946405378926604025969445498979634582602765498894406038694408720417546119852954380882319 Info:Complete Factorization / Discrete logarithm: Square Root Info:Square Root: Total cpu/real time for sqrt: 442.08/134.942 Info:HTTP server: Got notification to stop serving Workunits Info:Filtering - Singleton removal: Total cpu/real time for purge: 139.26/118.978 Info:Filtering - Merging: Merged matrix has 864613 rows and total weight 147215547 (170.3 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 227.44/63.8429 Info:Filtering - Merging: Total cpu/real time for replay: 28.75/31.1542 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 22440760 Info:Lattice Sieving: Average J: 1893.41 for 1085408 special-q, max bucket fill -bkmult 1.0,1s:1.226670 Info:Lattice Sieving: Total time: 160463s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 202.8/164.312 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 138.1s Info:Linear Algebra: Total cpu/real time for bwc: 12384.4/3466.6 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 7855.3, WCT time 2121.43, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (27136 iterations) Info:Linear Algebra: Lingen CPU time 111.5, WCT time 114.02 Info:Linear Algebra: Mksol: CPU time 4255.87, WCT time 1163.44, iteration CPU time 0.08, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (13568 iterations) Info:Generate Factor Base: Total cpu/real time for makefb: 2.49/1.56245 Info:Generate Free Relations: Total cpu/real time for freerel: 127.16/36.1995 Info:Square Root: Total cpu/real time for sqrt: 442.08/134.942 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 87.36/90.2403 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 89.8s Info:Quadratic Characters: Total cpu/real time for characters: 28.17/13.4298 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 307037/84527.8 Info:root: Cleaning up computation data in /tmp/cado.2bbphvfx 718022097377540679627699405820722943 110347681700926946405378926604025969445498979634582602765498894406038694408720417546119852954380882319``` `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 JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

## 71×10175-359

### c127

name 名前 Eric Jeancolas December 3, 2022 04:59:59 UTC 2022 年 12 月 3 日 (土) 13 時 59 分 59 秒 (日本時間) `9561592577124744097132323029732997482180508868325176703008770550858643458852268602110720022703182796658225080430071475049991309<127>` ```202720109880667788270635372764510173179127613522921342867<57> 47166472940219022338542963220103742408322318729642392580031470684581727<71>``` ```9561592577124744097132323029732997482180508868325176703008770550858643458852268602110720022703182796658225080430071475049991309=202720109880667788270635372764510173179127613522921342867*47166472940219022338542963220103742408322318729642392580031470684581727 cado polynomial n: 9561592577124744097132323029732997482180508868325176703008770550858643458852268602110720022703182796658225080430071475049991309 skew: 43177.015 c0: 53848649178437867368140871800 c1: -362854373582977048610580 c2: -88656287184534133211 c3: -113135764296817 c4: 13875628194 c5: 371880 Y0: -2192110577263941080587819 Y1: 937701137452207463 # MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.221e-07 # f(x) = 371880*x^5+13875628194*x^4-113135764296817*x^3-88656287184534133211*x^2-362854373582977048610580*x+53848649178437867368140871800 # g(x) = 937701137452207463*x-2192110577263941080587819 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: 47166472940219022338542963220103742408322318729642392580031470684581727 202720109880667788270635372764510173179127613522921342867 Info:Complete Factorization / Discrete logarithm: Square Root Info:Square Root: Total cpu/real time for sqrt: 348.3/104.956 Info:HTTP server: Got notification to stop serving Workunits Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 52.57/50.1957 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 49.6s Info:Quadratic Characters: Total cpu/real time for characters: 32.32/13.6165 Info:Filtering - Singleton removal: Total cpu/real time for purge: 143.69/136.68 Info:Filtering - Merging: Merged matrix has 851320 rows and total weight 145309387 (170.7 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 192.9/54.4705 Info:Filtering - Merging: Total cpu/real time for replay: 31.47/30.9202 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 12308699 Info:Lattice Sieving: Average J: 3795.83 for 268605 special-q, max bucket fill -bkmult 1.0,1s:1.206890 Info:Lattice Sieving: Total time: 76400.5s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 217.45/228.607 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 173.99999999999997s Info:Linear Algebra: Total cpu/real time for bwc: 12247.2/3276.94 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 7765.74, WCT time 2011.57, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (26624 iterations) Info:Linear Algebra: Lingen CPU time 109.63, WCT time 112.15 Info:Linear Algebra: Mksol: CPU time 4211.93, WCT time 1092.19, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (13312 iterations) Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 3021.75 Info:Polynomial Selection (root optimized): Rootsieve time: 3019.28 Info:Generate Factor Base: Total cpu/real time for makefb: 8.06/2.18428 Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 21547.5 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 14778/37.730/45.270/48.990/0.859 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 11747/37.310/40.575/46.070/0.990 Info:Polynomial Selection (size optimized): Total time: 1792.02 Info:Generate Free Relations: Total cpu/real time for freerel: 125.53/34.1409 Info:Square Root: Total cpu/real time for sqrt: 348.3/104.956 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 160847/43400.5 Info:root: Cleaning up computation data in /tmp/cado.7v_iv13a 47166472940219022338542963220103742408322318729642392580031470684581727 202720109880667788270635372764510173179127613522921342867``` `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 JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

## 71×10176-359

### c160

name 名前 Bob Backstrom December 2, 2022 08:04:05 UTC 2022 年 12 月 2 日 (金) 17 時 4 分 5 秒 (日本時間) `4237606462841630194898042126640884463747363889529582126184853883177569571662084931335835753126536009677221946943646153256500183420782832886570222478310311062361<160>` ```18418129485195665099852386636802733536241159790902928200276651764757739<71> 230078003645689537258721824361202556684495977488094723040342999332463209280294299400445899<90>``` ```Number: n N=4237606462841630194898042126640884463747363889529582126184853883177569571662084931335835753126536009677221946943646153256500183420782832886570222478310311062361 ( 160 digits) SNFS difficulty: 177 digits. Divisors found: Fri Dec 2 16:03:33 2022 p71 factor: 18418129485195665099852386636802733536241159790902928200276651764757739 Fri Dec 2 16:03:33 2022 p90 factor: 230078003645689537258721824361202556684495977488094723040342999332463209280294299400445899 Fri Dec 2 16:03:33 2022 elapsed time 00:15:05 (Msieve 1.54 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.356). Factorization parameters were as follows: # # N = 71x10^176-35 = 78(175)5 # n: 4237606462841630194898042126640884463747363889529582126184853883177569571662084931335835753126536009677221946943646153256500183420782832886570222478310311062361 m: 100000000000000000000000000000000000 deg: 5 c5: 142 c0: -7 skew: 0.55 # Murphy_E = 1.414e-10 type: snfs lss: 1 rlim: 6300000 alim: 6300000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.5 alambda: 2.5 Factor base limits: 6300000/6300000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved special-q in [100000, 15950000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1735154 hash collisions in 13761633 relations (12789697 unique) Msieve: matrix is 822664 x 822890 (285.8 MB) Sieving start time : 2022/12/02 14:36:10 Sieving end time : 2022/12/02 15:48:02 Total sieving time: 1hrs 11min 52secs. Total relation processing time: 0hrs 9min 53sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 47sec. Prototype def-par.txt line would be: snfs,177,5,0,0,0,0,0,0,0,0,6300000,6300000,27,27,52,52,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ----------```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

## 71×10177-359

### c132

name 名前 Norman Powell December 14, 2022 23:52:26 UTC 2022 年 12 月 15 日 (木) 8 時 52 分 26 秒 (日本時間) `114668216853757930522990163933732767376815660824445350192291116680932095838803761561450376690346311936378786977092143164080545845309<132>` ```27358189147923992420292586167143659027<38> 2150127225100706345756562791878135818684179<43> 1949357767607223564121587817673331632029779017723573<52>``` ```New best polynomial is: n: 114668216853757930522990163933732767376815660824445350192291116680932095838803761561450376690346311936378786977092143164080545845309 skew: 328286.002 c0: 113004568180088324334197117100016 c1: 55581620498950748656221740 c2: -6430445446852621044624 c3: 1481383041899311 c4: 20283498122 c5: 15180 Y0: -2378534329654831815536733 Y1: 64057107241659920701 # MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=2.181e+13) = 1.703e-06 # f(x) = 15180*x^5+20283498122*x^4+1481383041899311*x^3-6430445446852621044624* x^2+55581620498950748656221740* x+113004568180088324334197117100016 # g(x) = 64057107241659920701*x-2378534329654831815536733 Factors: 27358189147923992420292586167143659027 2150127225100706345756562791878135818684179 1949357767607223564121587817673331632029779017723573 Total cpu/elapsed time for entire Complete Factorization 301295/43090.9``` `CADO-NFS v3.0.0` `Ubuntu 20.04.4 LTS, 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 JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

## 71×10178-359

### c160

name 名前 Bob Backstrom December 5, 2022 21:14:48 UTC 2022 年 12 月 6 日 (火) 6 時 14 分 48 秒 (日本時間) `1720466973464956000557266094240172977139306213318433521764715712335916996154125409564639596885092981714687189591570241016554047104438899878803669891498029906963<160>` ```6781504567600504313433182114207021708912587498324096022833<58> 253699891567529799077614314866939680715470427144014789480578091338318947753872140820299374995962132611<102>``` ```Number: n N=1720466973464956000557266094240172977139306213318433521764715712335916996154125409564639596885092981714687189591570241016554047104438899878803669891498029906963 ( 160 digits) SNFS difficulty: 179 digits. Divisors found: Tue Dec 6 08:01:44 2022 p58 factor: 6781504567600504313433182114207021708912587498324096022833 Tue Dec 6 08:01:44 2022 p102 factor: 253699891567529799077614314866939680715470427144014789480578091338318947753872140820299374995962132611 Tue Dec 6 08:01:44 2022 elapsed time 00:21:20 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.326). Factorization parameters were as follows: # # N = 71x10^178-35 = 78(177)5 # n: 1720466973464956000557266094240172977139306213318433521764715712335916996154125409564639596885092981714687189591570241016554047104438899878803669891498029906963 m: 100000000000000000000000000000000000 deg: 5 c5: 14200 c0: -7 skew: 0.22 # Murphy_E = 7.458e-11 type: snfs lss: 1 rlim: 6800000 alim: 6800000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.5 alambda: 2.5 Factor base limits: 6800000/6800000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved special-q in [100000, 23400000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 2687343 hash collisions in 14948971 relations (12833450 unique) Msieve: matrix is 1022015 x 1022241 (351.8 MB) Sieving start time : 2022/12/06 04:45:14 Sieving end time : 2022/12/06 07:39:57 Total sieving time: 2hrs 54min 43secs. Total relation processing time: 0hrs 16min 15sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 21sec. Prototype def-par.txt line would be: snfs,179,5,0,0,0,0,0,0,0,0,6800000,6800000,27,27,51,51,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ----------```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

## 71×10181-359

### c177

name 名前 Bob Backstrom December 4, 2022 17:54:39 UTC 2022 年 12 月 5 日 (月) 2 時 54 分 39 秒 (日本時間) `891550984787126506061918843746272123963258053781871378074124302298569123454697280769496399264156511147526573870021912062935965292296873920877989364173463173293653035982244322641<177>` ```24666499789208534687795660584673250094573954636403<50> 36144203369185579502355832424204500924953864549655164300493968840853585692036776364612256609643858107775028502788178501007483947<128>``` ```Number: n N=891550984787126506061918843746272123963258053781871378074124302298569123454697280769496399264156511147526573870021912062935965292296873920877989364173463173293653035982244322641 ( 177 digits) SNFS difficulty: 182 digits. Divisors found: Sun Dec 4 22:48:30 2022 p50 factor: 24666499789208534687795660584673250094573954636403 Sun Dec 4 22:48:30 2022 p128 factor: 36144203369185579502355832424204500924953864549655164300493968840853585692036776364612256609643858107775028502788178501007483947 Sun Dec 4 22:48:30 2022 elapsed time 00:14:23 (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 = 71x10^181-35 = 78(180)5 # n: 891550984787126506061918843746272123963258053781871378074124302298569123454697280769496399264156511147526573870021912062935965292296873920877989364173463173293653035982244322641 m: 1000000000000000000000000000000000000 deg: 5 c5: 142 c0: -7 skew: 0.55 # Murphy_E = 8.887e-11 type: snfs lss: 1 rlim: 7600000 alim: 7600000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.5 alambda: 2.5 Factor base limits: 7600000/7600000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved special-q in [100000, 9400000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1303204 hash collisions in 12541792 relations (11994941 unique) Msieve: matrix is 834039 x 834264 (289.6 MB) Sieving start time : 2022/12/04 20:10:54 Sieving end time : 2022/12/04 22:33:43 Total sieving time: 2hrs 22min 49secs. Total relation processing time: 0hrs 10min 7sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 58sec. Prototype def-par.txt line would be: snfs,182,5,0,0,0,0,0,0,0,0,7600000,7600000,27,27,51,51,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ----------```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

## 71×10183-359

### c141

name 名前 Eric Jeancolas December 21, 2022 10:11:01 UTC 2022 年 12 月 21 日 (水) 19 時 11 分 1 秒 (日本時間) `237474245224390194715921843169191082556714042944173641453791691518873683262231353501555955154718006787178753854924986452324023597941143961169<141>` ```11520805078530419524762147596698829255654991607704373<53> 20612643266305668006591050231776854128530819353428461044492160211050067048887254104247853<89>``` ```237474245224390194715921843169191082556714042944173641453791691518873683262231353501555955154718006787178753854924986452324023597941143961169=11520805078530419524762147596698829255654991607704373*20612643266305668006591050231776854128530819353428461044492160211050067048887254104247853 cado polynomial n: 237474245224390194715921843169191082556714042944173641453791691518873683262231353501555955154718006787178753854924986452324023597941143961169 skew: 0.22 type: snfs c0: -7 c5: 14200 Y0: 1000000000000000000000000000000000000 Y1: -1 # f(x) = 14200*x^5-7 # g(x) = -x+1000000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 8200000 tasks.lim1 = 8200000 tasks.lpb0 = 28 tasks.lpb1 = 28 tasks.sieve.mfb0 = 54 tasks.sieve.mfb1 = 54 tasks.sieve.lambda0 = 2.5 tasks.sieve.lambda1 = 2.5 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 11520805078530419524762147596698829255654991607704373 20612643266305668006591050231776854128530819353428461044492160211050067048887254104247853 Info:Square Root: Total cpu/real time for sqrt: 550.47/176.529 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 414.09/441.958 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 366.5000000000001s Info:Square Root: Total cpu/real time for sqrt: 550.47/176.529 Info:Generate Free Relations: Total cpu/real time for freerel: 120.15/31.4239 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 102.64/106.145 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 105.19999999999999s Info:Filtering - Singleton removal: Total cpu/real time for purge: 281.85/273.04 Info:Filtering - Merging: Merged matrix has 1766877 rows and total weight 302415984 (171.2 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 457.05/128.395 Info:Filtering - Merging: Total cpu/real time for replay: 66.8/61.3275 Info:Generate Factor Base: Total cpu/real time for makefb: 3.48/1.96528 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 24356188 Info:Lattice Sieving: Average J: 1893.49 for 1721096 special-q, max bucket fill -bkmult 1.0,1s:1.177980 Info:Lattice Sieving: Total time: 293214s Info:Linear Algebra: Total cpu/real time for bwc: 52810.7/14029.4 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 33854.31, WCT time 8926.45, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (55296 iterations) Info:Linear Algebra: Lingen CPU time 359.81, WCT time 93.33 Info:Linear Algebra: Mksol: CPU time 18268.04, WCT time 4880.22, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (27648 iterations) Info:Quadratic Characters: Total cpu/real time for characters: 63.91/27.7522 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 596293/161729 Info:root: Cleaning up computation data in /tmp/cado._lx5ydi8 11520805078530419524762147596698829255654991607704373 20612643266305668006591050231776854128530819353428461044492160211050067048887254104247853``` `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 JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

## 71×10185-359

### c164

name 名前 Bob Backstrom December 9, 2022 19:08:02 UTC 2022 年 12 月 10 日 (土) 4 時 8 分 2 秒 (日本時間) `33549648974871092280448860251219568669074281904101889719972855748153876568530591971784175142375100139699929350404764904696144617720969884959054220134292477690243483<164>` ```643000329110947476837633193688624050571<39> 10349250231529538644568915675650360157704677110541271456594511<62> 5041594332311237661048772109198634554025384814323532635884802943<64>``` ```Number: n N=52176721310950086156703324676305698452767786855036100040118974919058898404543879225703909510526900998029917578123205090445873 ( 125 digits) Divisors found: Fri Dec 9 23:37:56 2022 p62 factor: 10349250231529538644568915675650360157704677110541271456594511 Fri Dec 9 23:37:56 2022 p64 factor: 5041594332311237661048772109198634554025384814323532635884802943 Fri Dec 9 23:37:56 2022 elapsed time 00:09:16 (Msieve 1.54 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.317). Factorization parameters were as follows: # # N = 71x10^185-35 = 78(184)5 # # GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] # Input number is 33549648974871092280448860251219568669074281904101889719972855748153876568530591971784175142375100139699929350404764904696144617720969884959054220134292477690243483 (164 digits) # Using B1=27130000, B2=144286522396, polynomial Dickson(12), sigma=1:226516333 # Step 1 took 64672ms # Step 2 took 24689ms # ********** Factor found in step 2: 643000329110947476837633193688624050571 # Found prime factor of 39 digits: 643000329110947476837633193688624050571 # Composite cofactor 52176721310950086156703324676305698452767786855036100040118974919058898404543879225703909510526900998029917578123205090445873 has 125 digits # n: 52176721310950086156703324676305698452767786855036100040118974919058898404543879225703909510526900998029917578123205090445873 Y0: -3370191897807297083380146 Y1: 50046750791831 c0: 94217376184791690621965381478799 c1: 226991096425817100355550222 c2: -357824920321299938603 c3: -557477753186498 c4: 416599048 c5: 120 # skew 1081234.38, size 4.956e-12, alpha -5.781, combined = 1.500e-10 rroots = 5 skew: 1081234.38 type: gnfs rlim: 2400000 alim: 2400000 lpbr: 26 lpba: 26 mfbr: 50 mfba: 50 rlambda: 2.6 alambda: 2.6 qintsize: 100000 Factor base limits: 2400000/2400000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 50/50 Sieved special-q in [100000, 14000000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1191290 hash collisions in 6674646 relations (5586659 unique) Msieve: matrix is 615465 x 615690 (219.6 MB) Sieving start time : 2022/12/09 22:26:49 Sieving end time : 2022/12/09 23:28:24 Total sieving time: 1hrs 1min 35secs. Total relation processing time: 0hrs 5min 34sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 51sec. Prototype def-par.txt line would be: gnfs,124,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2400000,2400000,26,26,50,50,2.6,2.6,60000 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 JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

## 71×10186-359

### c156

name 名前 Bob Backstrom December 7, 2022 19:48:15 UTC 2022 年 12 月 8 日 (木) 4 時 48 分 15 秒 (日本時間) `308202015788361080266428575631050914795395209357574457710495930569644002120592354014094551275327707112882247029357557509020837832076843697534405583630280159<156>` ```1164535734077973866123553805167668350552821525244889876743<58> 264656555199983915188766635278228039103862577458203502152005565953698737748361178017112152580177513<99>``` ```Number: n N=308202015788361080266428575631050914795395209357574457710495930569644002120592354014094551275327707112882247029357557509020837832076843697534405583630280159 ( 156 digits) SNFS difficulty: 187 digits. Divisors found: Thu Dec 8 05:57:16 2022 p58 factor: 1164535734077973866123553805167668350552821525244889876743 Thu Dec 8 05:57:16 2022 p99 factor: 264656555199983915188766635278228039103862577458203502152005565953698737748361178017112152580177513 Thu Dec 8 05:57:16 2022 elapsed time 00:22:28 (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 = 71x10^186-35 = 78(185)5 # n: 308202015788361080266428575631050914795395209357574457710495930569644002120592354014094551275327707112882247029357557509020837832076843697534405583630280159 m: 10000000000000000000000000000000000000 deg: 5 c5: 142 c0: -7 skew: 0.55 # Murphy_E = 5.56e-11 type: snfs lss: 1 rlim: 9200000 alim: 9200000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.5 alambda: 2.5 Factor base limits: 9200000/9200000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved special-q in [100000, 17400000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1572760 hash collisions in 13757612 relations (12994418 unique) Msieve: matrix is 1057660 x 1057885 (368.4 MB) Sieving start time : 2022/12/08 01:52:28 Sieving end time : 2022/12/08 05:34:09 Total sieving time: 3hrs 41min 41secs. Total relation processing time: 0hrs 17min 31sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 11sec. Prototype def-par.txt line would be: snfs,187,5,0,0,0,0,0,0,0,0,9200000,9200000,27,27,52,52,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ----------```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

## 71×10190-359

### c148

name 名前 Bob Backstrom April 5, 2023 13:01:19 UTC 2023 年 4 月 5 日 (水) 22 時 1 分 19 秒 (日本時間) `2207067221189638370521537802976533710092299286204762438706397941953546982510018345548679215501582881269386895135620093156521344441193608343293369277<148>` ```164485413934101880661208978303791929710777407229408881<54> 13418011776253061027297929964028306686161756132608408643495315483930696609539064687909844834317<95>``` ```GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 2207067221189638370521537802976533710092299286204762438706397941953546982510018345548679215501582881269386895135620093156521344441193608343293369277 (148 digits) Using B1=35500000, B2=192388936756, polynomial Dickson(12), sigma=1:1286534308 Step 1 took 72011ms Step 2 took 27626ms ********** Factor found in step 2: 164485413934101880661208978303791929710777407229408881 Found prime factor of 54 digits: 164485413934101880661208978303791929710777407229408881 Prime cofactor 13418011776253061027297929964028306686161756132608408643495315483930696609539064687909844834317 has 95 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosDecember 9, 2022 12:26:21 UTC 2022 年 12 月 9 日 (金) 21 時 26 分 21 秒 (日本時間)
4511e6170 / 3915Rytis SlatkevičiusFebruary 13, 2023 11:01:20 UTC 2023 年 2 月 13 日 (月) 20 時 1 分 20 秒 (日本時間)

## 71×10191-359

### c182

name 名前 Bob Backstrom December 10, 2022 10:22:54 UTC 2022 年 12 月 10 日 (土) 19 時 22 分 54 秒 (日本時間) `75607500930865308498490434240440038909734859260593366036952136220606190798498482973057971417673340568088374976697056064991149721116538794168235018216605316911455266093926099328925089<182>` ```1495402293095788159086480950792192049177185785051<49> 50559973914673047564829035146541853703503594229907534898068635498875339460334059811582578710597923939296739146098088879487535792153139<134>``` ```Number: n N=75607500930865308498490434240440038909734859260593366036952136220606190798498482973057971417673340568088374976697056064991149721116538794168235018216605316911455266093926099328925089 ( 182 digits) SNFS difficulty: 192 digits. Divisors found: Sat Dec 10 21:01:41 2022 p49 factor: 1495402293095788159086480950792192049177185785051 Sat Dec 10 21:01:41 2022 p134 factor: 50559973914673047564829035146541853703503594229907534898068635498875339460334059811582578710597923939296739146098088879487535792153139 Sat Dec 10 21:01:41 2022 elapsed time 00:34:30 (Msieve 1.54 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.302). Factorization parameters were as follows: # # N = 71x10^191-35 = 78(190)5 # n: 75607500930865308498490434240440038909734859260593366036952136220606190798498482973057971417673340568088374976697056064991149721116538794168235018216605316911455266093926099328925089 m: 100000000000000000000000000000000000000 deg: 5 c5: 142 c0: -7 skew: 0.55 # Murphy_E = 3.464e-11 type: snfs lss: 1 rlim: 11200000 alim: 11200000 lpbr: 27 lpba: 27 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 11200000/11200000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 53/53 Sieved special-q in [100000, 18400000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 2083340 hash collisions in 15924968 relations (14741507 unique) Msieve: matrix is 1270245 x 1270471 (442.4 MB) Sieving start time : 2022/12/10 15:15:04 Sieving end time : 2022/12/10 20:26:44 Total sieving time: 5hrs 11min 40secs. Total relation processing time: 0hrs 27min 5sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 2min 55sec. Prototype def-par.txt line would be: snfs,192,5,0,0,0,0,0,0,0,0,11200000,11200000,27,27,53,53,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ----------```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosDecember 9, 2022 11:09:44 UTC 2022 年 12 月 9 日 (金) 20 時 9 分 44 秒 (日本時間)

## 71×10192-359

### c117

name 名前 Ignacio Santos November 26, 2022 15:42:33 UTC 2022 年 11 月 27 日 (日) 0 時 42 分 33 秒 (日本時間) `284850212309345106877272552107979154201909438328744378823880962659174014305203244876379763752191268041346113608310013<117>` ```6616966573041495086301380570822038637<37> 43048458710652580981072549402588941889265205505501939393478553640645049513226449<80>``` ```Number: 1 N=284850212309345106877272552107979154201909438328744378823880962659174014305203244876379763752191268041346113608310013 ( 117 digits) Divisors found: r1=6616966573041495086301380570822038637 (pp37) r2=43048458710652580981072549402588941889265205505501939393478553640645049513226449 (pp80) Version: Msieve v. 1.52 (SVN 927) Total time: 21.73 hours. Scaled time: 170.04 units (timescale=7.825). Factorization parameters were as follows: name: 1 n: 284850212309345106877272552107979154201909438328744378823880962659174014305203244876379763752191268041346113608310013 skew: 182392.98 # norm 4.18e+016 c5: 4320 c4: 273565840 c3: -673590949495608 c2: 4506615005983050288 c1: -1804909543100383431810964 c0: -30213459917720624123699348025 # alpha -6.33 Y1: 1815799889783 Y0: -36629103339345519667723 # Murphy_E 3.93e-010 # M 52551342462492239292364875110285830971259624884450657823863386923815719016786446890556195229397372813367825619947230 type: gnfs rlim: 3600000 alim: 3600000 lpbr: 27 lpba: 27 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 3600000/3600000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 53/53 Sieved algebraic special-q in [1800000, 3200001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 595665 x 595892 Total sieving time: 21.59 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.08 hours. Time per square root: 0.03 hours. Prototype def-par.txt line would be: gnfs,116,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3600000,3600000,27,27,53,53,2.5,2.5,100000 total time: 21.73 hours. --------- CPU info (if available) ----------``` `GNFS, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

## 71×10194-359

### c167

name 名前 Dmitry Domanov December 11, 2022 10:04:43 UTC 2022 年 12 月 11 日 (日) 19 時 4 分 43 秒 (日本時間) `76980510847977637983198520960726849980849184553142210361745410783921382131214770346735213628938567771341822066844649989251073768326615427193782858627652467546903257939<167>` ```3821694286113849656618753436281613314189<40> 20143032143540840171326012582400348566865544797495181255017891959706077002726609479599151914177216302023008345149862919070118751<128>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2559273968 Step 1 took 7784ms ********** Factor found in step 1: 3821694286113849656618753436281613314189 Found prime factor of 40 digits: 3821694286113849656618753436281613314189 Prime cofactor 20143032143540840171326012582400348566865544797495181255017891959706077002726609479599151914177216302023008345149862919070118751 has 128 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 10, 2022 23:40:19 UTC 2022 年 12 月 11 日 (日) 8 時 40 分 19 秒 (日本時間)

## 71×10198-359

### c158

name 名前 Eric Jeancolas July 10, 2023 08:34:14 UTC 2023 年 7 月 10 日 (月) 17 時 34 分 14 秒 (日本時間) `64133060673300051674190447095318011129122157762506390034465691883563595655132968099888568422353796377799617733208863764090345880230096939868007652025376560433<158>` ```993030682388855861744376640052731597802658942549469155894814789557334124184467<78> 64583161236287471384975657178484795484054450540321930815055937744657185751254699<80>``` ```64133060673300051674190447095318011129122157762506390034465691883563595655132968099888568422353796377799617733208863764090345880230096939868007652025376560433=993030682388855861744376640052731597802658942549469155894814789557334124184467*64583161236287471384975657178484795484054450540321930815055937744657185751254699 cado polynomial n: 64133060673300051674190447095318011129122157762506390034465691883563595655132968099888568422353796377799617733208863764090345880230096939868007652025376560433 skew: 0.89 type: snfs c0: -35 c6: 71 Y0: 1000000000000000000000000000000000 Y1: -1 # f(x) = 71*x^6-35 # g(x) = -x+1000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 15000000 tasks.lim1 = 15000000 tasks.lpb0 = 28 tasks.lpb1 = 28 tasks.sieve.mfb0 = 55 tasks.sieve.mfb1 = 55 tasks.sieve.lambda0 = 2.5 tasks.sieve.lambda1 = 2.5 tasks.I = 13 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 993030682388855861744376640052731597802658942549469155894814789557334124184467 64583161236287471384975657178484795484054450540321930815055937744657185751254699 Info:Complete Factorization / Discrete logarithm: Square Root Info:Square Root: Total cpu/real time for sqrt: 2747.3/149.688 Info:HTTP server: Got notification to stop serving Workunits Info:Generate Factor Base: Total cpu/real time for makefb: 3.38/0.417971 Info:Square Root: Total cpu/real time for sqrt: 2747.3/149.688 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 102.69/72.8855 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 72.4s Info:Quadratic Characters: Total cpu/real time for characters: 59.7/11.574 Info:Generate Free Relations: Total cpu/real time for freerel: 95.61/6.77487 Info:Filtering - Singleton removal: Total cpu/real time for purge: 335.74/237.192 Info:Filtering - Merging: Merged matrix has 2256193 rows and total weight 386085262 (171.1 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 512.73/29.9669 Info:Filtering - Merging: Total cpu/real time for replay: 41.53/36.4845 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 25539557 Info:Lattice Sieving: Average J: 3792.25 for 1554579 special-q, max bucket fill -bkmult 1.0,1s:1.185800 Info:Lattice Sieving: Total time: 481117s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 447.71/318.94 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 239.9s Info:Linear Algebra: Total cpu/real time for bwc: 70516.9/8832.04 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 46447.05, WCT time 5802.92, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.04, comm-wait 0.0 (70656 iterations) Info:Linear Algebra: Lingen CPU time 401.26, WCT time 26.0 Info:Linear Algebra: Mksol: CPU time 23232.18, WCT time 2951.01, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.04, comm-wait 0.0 (35328 iterations) Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 985748/49516.5 Info:root: Cleaning up computation data in /tmp/cado.s6tu2k3s 993030682388855861744376640052731597802658942549469155894814789557334124184467 64583161236287471384975657178484795484054450540321930815055937744657185751254699``` `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)] 13th Gen Intel(R) Core(TM) i7-13700KF (24 processeurs)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 10, 2022 23:40:32 UTC 2022 年 12 月 11 日 (日) 8 時 40 分 32 秒 (日本時間)
4511e61000 / 4213Dmitry DomanovJanuary 21, 2023 19:26:28 UTC 2023 年 1 月 22 日 (日) 4 時 26 分 28 秒 (日本時間)

## 71×10204-359

### c138

name 名前 ebina December 9, 2022 05:57:27 UTC 2022 年 12 月 9 日 (金) 14 時 57 分 27 秒 (日本時間) `494840489954360806961811155691654969555698739814018257630855081469568650817771242856980889336133008999168159132876119925626389614888975477<138>` ```13536654879499683819139777670425482873312086836109<50> 36555596220729693542429665084093180240174216980860475102187812929587403828125539179081353<89>``` ```Number: 78885_204 N = 494840489954360806961811155691654969555698739814018257630855081469568650817771242856980889336133008999168159132876119925626389614888975477 (138 digits) Divisors found: r1=13536654879499683819139777670425482873312086836109 (pp50) r2=36555596220729693542429665084093180240174216980860475102187812929587403828125539179081353 (pp89) Version: Msieve v. 1.53 (SVN unknown) Total time: 54.66 hours. Factorization parameters were as follows: n: 494840489954360806961811155691654969555698739814018257630855081469568650817771242856980889336133008999168159132876119925626389614888975477 # norm 2.816623e-13 alpha -6.998495 e 2.658e-11 rroots 5 skew: 8917011.14 c0: -618703426080638447624738250928653133 c1: 726163829732710025676535589963 c2: 178508860735700164131223 c3: -70350072468860603 c4: -2321370018 c5: 72 Y0: -1470369847704572549754486762 Y1: 21982248148081 type: gnfs Factor base limits: 11000000/11000000 Large primes per side: 3 Large prime bits: 28/28 Sieved algebraic special-q in [0, 0) Total raw relations: 24369374 Relations: 3889490 relations Pruned matrix : 2308080 x 2308328 Polynomial selection time: 0.36 hours. Total sieving time: 50.82 hours. Total relation processing time: 0.23 hours. Matrix solve time: 2.70 hours. time per square root: 0.55 hours. Prototype def-par.txt line would be: gnfs,137,5,65,2000,1e-05,0.28,250,20,50000,3600,11000000,11000000,28,28,56,56,2.5,2.5,100000 total time: 54.66 hours. Intel64 Family 6 Model 60 Stepping 3, GenuineIntel processors: 8, speed: 3.19GHz Windows-post2008Server-6.2.9200 Running Python 3.2```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosNovember 26, 2022 10:38:54 UTC 2022 年 11 月 26 日 (土) 19 時 38 分 54 秒 (日本時間)
4511e64480Ignacio SantosDecember 2, 2022 11:44:08 UTC 2022 年 12 月 2 日 (金) 20 時 44 分 8 秒 (日本時間)

## 71×10206-359

### c163

name 名前 Bob Backstrom June 2, 2024 07:10:19 UTC 2024 年 6 月 2 日 (日) 16 時 10 分 19 秒 (日本時間) `6783983402635398666028434434390009748506847506300352105477238603853828637824611905408241702718167077205567931454826100743421281750887659356319635282630041187581749<163>` ```1283961046727096830849357368721830623893464490559<49> 5283636462280712633819280328317368800522390091857559182632239265864140531771156810258024973315190607923319244118411<115>``` ```Number: n N=6783983402635398666028434434390009748506847506300352105477238603853828637824611905408241702718167077205567931454826100743421281750887659356319635282630041187581749 ( 163 digits) SNFS difficulty: 207 digits. Divisors found: Sat Jun 1 13:35:48 2024 prp49 factor: 1283961046727096830849357368721830623893464490559 Sat Jun 1 13:35:48 2024 prp115 factor: 5283636462280712633819280328317368800522390091857559182632239265864140531771156810258024973315190607923319244118411 Sat Jun 1 13:35:48 2024 elapsed time 02:38:59 (Msieve 1.44 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=1.902). Factorization parameters were as follows: # # N = 71x10^206-35 = 78(205)5 # n: 6783983402635398666028434434390009748506847506300352105477238603853828637824611905408241702718167077205567931454826100743421281750887659356319635282630041187581749 m: 100000000000000000000000000000000000000000 deg: 5 c5: 142 c0: -7 skew: 0.55 # Murphy_E = 8.167e-12 type: snfs lss: 1 rlim: 19800000 alim: 19800000 lpbr: 27 lpba: 27 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 19800000/19800000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 56/56 Sieved special-q in [100000, 35500000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 4363814 hash collisions in 21464584 relations (17323021 unique) Msieve: matrix is 2240090 x 2240315 (632.3 MB) Sieving start time: 2024/05/31 20:02:50 Sieving end time : 2024/06/01 10:56:25 Total sieving time: 14hrs 53min 35secs. Total relation processing time: 2hrs 30min 33sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 2min 39sec. Prototype def-par.txt line would be: snfs,207,5,0,0,0,0,0,0,0,0,19800000,19800000,27,27,56,56,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ----------```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e627921000Dmitry DomanovFebruary 15, 2023 21:30:45 UTC 2023 年 2 月 16 日 (木) 6 時 30 分 45 秒 (日本時間)
1792Dmitry DomanovFebruary 4, 2024 08:21:25 UTC 2024 年 2 月 4 日 (日) 17 時 21 分 25 秒 (日本時間)
4511e61792 / 3817Dmitry DomanovFebruary 4, 2024 09:25:21 UTC 2024 年 2 月 4 日 (日) 18 時 25 分 21 秒 (日本時間)

## 71×10209-359

### c202

composite cofactor 合成数の残り `1155877692482062656513928670922720662161369624744331555649608183795096011600798776930974454280043789303061925461174096392471452431895480824367183967762160901494278876320273720042683372309732623422232953<202>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e62500cccDecember 31, 2023 23:40:41 UTC 2024 年 1 月 1 日 (月) 8 時 40 分 41 秒 (日本時間)

## 71×10211-359

### c174

composite cofactor 合成数の残り `557930652411153751821892027979453099648673117133800337912376206821085604646457548116770944357535929185327332479481203356078638985408396845073907563398682752846954999519711931<174>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e627921000Dmitry DomanovFebruary 15, 2023 21:31:01 UTC 2023 年 2 月 16 日 (木) 6 時 31 分 1 秒 (日本時間)
1792Dmitry DomanovFebruary 4, 2024 08:21:39 UTC 2024 年 2 月 4 日 (日) 17 時 21 分 39 秒 (日本時間)
4511e61792 / 3817Dmitry DomanovFebruary 4, 2024 09:25:30 UTC 2024 年 2 月 4 日 (日) 18 時 25 分 30 秒 (日本時間)

## 71×10212-359

### c170

composite cofactor 合成数の残り `13691403915567221849663912989905754098736788771262251278612257716709868042495949338875266301631887573515711384014998530675377924728116296427688282076374580690449690743431<170>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e627921000Dmitry DomanovFebruary 15, 2023 21:31:09 UTC 2023 年 2 月 16 日 (木) 6 時 31 分 9 秒 (日本時間)
1792Dmitry DomanovFebruary 4, 2024 08:21:45 UTC 2024 年 2 月 4 日 (日) 17 時 21 分 45 秒 (日本時間)
4511e61792 / 3817Dmitry DomanovFebruary 4, 2024 09:25:39 UTC 2024 年 2 月 4 日 (日) 18 時 25 分 39 秒 (日本時間)

## 71×10216-359

### c178

composite cofactor 合成数の残り `2201768966590376182706022638688230296464842376553759015716283483553113800079250916333708045930243523202323949489094782815006919320589999655385322801730915187188882000398887992983<178>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e627921000Dmitry DomanovFebruary 15, 2023 21:31:17 UTC 2023 年 2 月 16 日 (木) 6 時 31 分 17 秒 (日本時間)
1792Dmitry DomanovFebruary 4, 2024 08:21:49 UTC 2024 年 2 月 4 日 (日) 17 時 21 分 49 秒 (日本時間)
4511e61792 / 3817Dmitry DomanovFebruary 4, 2024 09:25:49 UTC 2024 年 2 月 4 日 (日) 18 時 25 分 49 秒 (日本時間)

## 71×10219-359

### c208

name 名前 Dmitry Domanov February 3, 2024 13:05:41 UTC 2024 年 2 月 3 日 (土) 22 時 5 分 41 秒 (日本時間) `1288710256100931581556435001451647848619452224977806897381138858646718525088634257135315939152902733035028574344988999097423064848198511182517905186632500783040757017894858088135407074754605506489257754747483<208>` `8480595722812055074045114251826015166064169<43>` `151959873836977580542172901887611259555313089980727832285937859997737594232124556399737648160054581955093488500415188706867856535699854964622594550057147337456020707<165>` ```Resuming ECM residue saved by @9956d07e1373 with GMP-ECM 7.0.5-dev on Sat Feb 3 10:38:40 2024 Input number is 1288710256100931581556435001451647848619452224977806897381138858646718525088634257135315939152902733035028574344988999097423064848198511182517905186632500783040757017894858088135407074754605506489257754747483 (208 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:250375774 Step 1 took 0ms Step 2 took 2695ms ********** Factor found in step 2: 8480595722812055074045114251826015166064169 Found prime factor of 43 digits: 8480595722812055074045114251826015166064169 Composite cofactor 151959873836977580542172901887611259555313089980727832285937859997737594232124556399737648160054581955093488500415188706867856535699854964622594550057147337456020707 has 165 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovFebruary 4, 2024 08:21:56 UTC 2024 年 2 月 4 日 (日) 17 時 21 分 56 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 4, 2024 09:25:57 UTC 2024 年 2 月 4 日 (日) 18 時 25 分 57 秒 (日本時間)

## 71×10220-359

### c178

name 名前 Dmitry Domanov February 16, 2023 00:09:10 UTC 2023 年 2 月 16 日 (木) 9 時 9 分 10 秒 (日本時間) `2799084748836356437038651664913024279545056067553730462556419908327203357767483749371007136215137272748531870472783993818743764534201234636354873482911353727960277797329867929831<178>` ```246057717812645037614497840096297141<36> 11375724255752281775948864849346703663492357378416199366884887525443065608306441519046760303566175870968421657566156796286800821641556574290091<143>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:86088907 Step 1 took 9611ms Step 2 took 4561ms ********** Factor found in step 2: 246057717812645037614497840096297141 Found prime factor of 36 digits: 246057717812645037614497840096297141 Prime cofactor 11375724255752281775948864849346703663492357378416199366884887525443065608306441519046760303566175870968421657566156796286800821641556574290091 has 143 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovFebruary 15, 2023 21:31:25 UTC 2023 年 2 月 16 日 (木) 6 時 31 分 25 秒 (日本時間)

## 71×10221-359

### c165

composite cofactor 合成数の残り `171993064592940863303977416741767206721093012094165011600293906822004807469308876550171568785469318806841444434117668785797865973404517740794545479200173467410142901<165>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e627921000Dmitry DomanovFebruary 15, 2023 21:31:33 UTC 2023 年 2 月 16 日 (木) 6 時 31 分 33 秒 (日本時間)
1792Dmitry DomanovFebruary 4, 2024 08:22:03 UTC 2024 年 2 月 4 日 (日) 17 時 22 分 3 秒 (日本時間)
4511e61792 / 3817Dmitry DomanovFebruary 4, 2024 09:26:06 UTC 2024 年 2 月 4 日 (日) 18 時 26 分 6 秒 (日本時間)

## 71×10222-359

### c205

composite cofactor 合成数の残り `3515763717469842854508088814005993357714261597749414143145541665112820460546485400448384805967208171570691012280923620891078240733039088130326876965225786768051140723702684841057487052343195201221405879799<205>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovFebruary 4, 2024 08:22:07 UTC 2024 年 2 月 4 日 (日) 17 時 22 分 7 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 4, 2024 19:27:56 UTC 2024 年 3 月 5 日 (火) 4 時 27 分 56 秒 (日本時間)

## 71×10223-359

### c215

composite cofactor 合成数の残り `89650339476762372211040836167150575523896523060390330494442323866678588646600070821116556883102201910384716331334717278250644491081939989177701434957917628733974756384940897859021541787762257302665222455255652883689<215>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovFebruary 4, 2024 08:22:14 UTC 2024 年 2 月 4 日 (日) 17 時 22 分 14 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 6, 2024 22:00:07 UTC 2024 年 3 月 7 日 (木) 7 時 0 分 7 秒 (日本時間)

## 71×10224-359

### c191

composite cofactor 合成数の残り `41586911092949078255665931090860668572727994965696430774451863683335811636807483266503860964804716271543152012470769558872301964153477609937800214527653516091140600594560892436519249278361747<191>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovFebruary 4, 2024 08:22:18 UTC 2024 年 2 月 4 日 (日) 17 時 22 分 18 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 4, 2024 19:24:05 UTC 2024 年 3 月 5 日 (火) 4 時 24 分 5 秒 (日本時間)

## 71×10225-359

### c182

composite cofactor 合成数の残り `18915930778315054154937926094241588503526346789698465752746206960726276511999362994484643003042489903432232726906566623736602452804939965290968625251228851913142401208986298392511803<182>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovFebruary 4, 2024 08:22:24 UTC 2024 年 2 月 4 日 (日) 17 時 22 分 24 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 4, 2024 09:26:14 UTC 2024 年 2 月 4 日 (日) 18 時 26 分 14 秒 (日本時間)

## 71×10227-359

### c220

name 名前 Dmitry Domanov February 2, 2024 09:29:15 UTC 2024 年 2 月 2 日 (金) 18 時 29 分 15 秒 (日本時間) `4105649593869286739576700414267850538244445455822069751118037052845715508454386893674740533571204262113008589114363358067356703193908277688987322705292664306629410614426681929737075154138446072172595471886580308143978967<220>` ```19648308639601285590355951728144030637<38> 208956896452365625359331585667082877240573970423011512951567791813288754860355995825536337970395499966235315723195004799973732983833553522401672773673207388297050258539431384445443091<183>``` ```Resuming ECM residue saved by @531202c07a3a with GMP-ECM 7.0.5-dev on Fri Feb 2 03:44:59 2024 Input number is 4105649593869286739576700414267850538244445455822069751118037052845715508454386893674740533571204262113008589114363358067356703193908277688987322705292664306629410614426681929737075154138446072172595471886580308143978967 (220 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:612115608 Step 1 took 0ms Step 2 took 2951ms ********** Factor found in step 2: 19648308639601285590355951728144030637 Found prime factor of 38 digits: 19648308639601285590355951728144030637 Prime cofactor 208956896452365625359331585667082877240573970423011512951567791813288754860355995825536337970395499966235315723195004799973732983833553522401672773673207388297050258539431384445443091 has 183 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

## 71×10228-359

### c210

composite cofactor 合成数の残り `875668357568093023272922952675919758238473984257655459185501013667647956566684590361458009137889282073189326486146984751079544491133284652384637788438536381169892371821638704853822050545615744434140134913470617<210>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovFebruary 4, 2024 08:22:29 UTC 2024 年 2 月 4 日 (日) 17 時 22 分 29 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 4, 2024 19:28:05 UTC 2024 年 3 月 5 日 (火) 4 時 28 分 5 秒 (日本時間)

## 71×10229-359

### c222

composite cofactor 合成数の残り `541807328147863279590968433553399826294281269056379619700628786863592873885984515444174010092351936658053112967930611208611629138057761216940772144961832668934466102887143590125320302088720286079458402679424962483753458939<222>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovFebruary 4, 2024 08:22:47 UTC 2024 年 2 月 4 日 (日) 17 時 22 分 47 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 6, 2024 22:00:19 UTC 2024 年 3 月 7 日 (木) 7 時 0 分 19 秒 (日本時間)

## 71×10231-359

### c195

composite cofactor 合成数の残り `866353330312170373731332898193583155920413365951825919153570070713115801149161311115043288144631133815243197918889448310159781258460567101558968057250013337456769281532973678495014348651195389131<195>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovFebruary 4, 2024 08:22:37 UTC 2024 年 2 月 4 日 (日) 17 時 22 分 37 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 4, 2024 19:25:32 UTC 2024 年 3 月 5 日 (火) 4 時 25 分 32 秒 (日本時間)

## 71×10232-359

### c144

name 名前 Ignacio Santos November 26, 2022 10:41:33 UTC 2022 年 11 月 26 日 (土) 19 時 41 分 33 秒 (日本時間) `188787486110051249790917904075042105417788998743649984125635276872038151514274207127698382298746901159281390188818466977745312132251280425563919<144>` ```390270456667892296045707289871579119<36> 483735017305456394590798035470300083689249988221520116476220317984196947375370049963695507798544530717119201<108>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:130357579 Step 1 took 5844ms ********** Factor found in step 1: 390270456667892296045707289871579119 Found prime factor of 36 digits: 390270456667892296045707289871579119 Prime cofactor 483735017305456394590798035470300083689249988221520116476220317984196947375370049963695507798544530717119201 has 108 digits``` `GMP-ECM`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

## 71×10233-359

### c193

composite cofactor 合成数の残り `3922674187250163709769555568839657951918300369108964559595462467494706427813948015632373283236987669611617808356214307030763875866614111553836975252747867592777111327187128454088288600640061953<193>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovFebruary 4, 2024 08:23:44 UTC 2024 年 2 月 4 日 (日) 17 時 23 分 44 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 4, 2024 19:25:42 UTC 2024 年 3 月 5 日 (火) 4 時 25 分 42 秒 (日本時間)

## 71×10234-359

### c198

composite cofactor 合成数の残り `172185181448961999196911148605462035945477120735964181464164248820606975053582067573982440586533664416895477642630701498120932563474926233060960020511462066433109829151174872373385625537704413355281<198>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovFebruary 4, 2024 08:23:49 UTC 2024 年 2 月 4 日 (日) 17 時 23 分 49 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 4, 2024 19:25:52 UTC 2024 年 3 月 5 日 (火) 4 時 25 分 52 秒 (日本時間)

## 71×10235-359

### c230

composite cofactor 合成数の残り `81396301971108898507409642939644642088422751756755749760253497891434529572365611552772031313501296322090899033619538781038788777169598366571111993859738121728742811187520456553004182738137205504453581465947398499671262118447669343<230>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovFebruary 4, 2024 08:23:56 UTC 2024 年 2 月 4 日 (日) 17 時 23 分 56 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 6, 2024 22:00:28 UTC 2024 年 3 月 7 日 (木) 7 時 0 分 28 秒 (日本時間)

## 71×10236-359

### c235

composite cofactor 合成数の残り `1004953998584571832979476291578202406227883934890304317055909412597310686482661004953998584571832979476291578202406227883934890304317055909412597310686482661004953998584571832979476291578202406227883934890304317055909412597310686482661<235>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovFebruary 4, 2024 08:24:01 UTC 2024 年 2 月 4 日 (日) 17 時 24 分 1 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 9, 2024 16:45:59 UTC 2024 年 3 月 10 日 (日) 1 時 45 分 59 秒 (日本時間)

## 71×10237-359

### c202

composite cofactor 合成数の残り `2064530633324802088896296387851736003336697955503635855132701405221287867824892159580567051097547785273677144069640711594929850173285723317174719563735528341081454622901827279675007467844268185947118087<202>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovFebruary 4, 2024 08:24:06 UTC 2024 年 2 月 4 日 (日) 17 時 24 分 6 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 4, 2024 19:28:14 UTC 2024 年 3 月 5 日 (火) 4 時 28 分 14 秒 (日本時間)

## 71×10238-359

### c214

composite cofactor 合成数の残り `1342915153413305737105087417108933124412934898267995082449533650724724040074760968452056452989672706532708550275202903531623377751488880996310922478666671913533201086174089860271924723907889345106544904628396062493<214>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovFebruary 4, 2024 08:24:11 UTC 2024 年 2 月 4 日 (日) 17 時 24 分 11 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 6, 2024 22:00:37 UTC 2024 年 3 月 7 日 (木) 7 時 0 分 37 秒 (日本時間)

## 71×10239-359

### c224

composite cofactor 合成数の残り `25163017455348766316179938302464307287048882842938619508828167828434222915899765914358678307595708377567233583732358827839549231386545959268560723277939657667634735328612323185134336142732110533869098216491152552974946804331<224>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovFebruary 4, 2024 08:24:17 UTC 2024 年 2 月 4 日 (日) 17 時 24 分 17 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 6, 2024 22:00:45 UTC 2024 年 3 月 7 日 (木) 7 時 0 分 45 秒 (日本時間)

## 71×10241-359

### c221

composite cofactor 合成数の残り `39081498165401876558175766917538984253261622323718550676681753412506601550484892246566267312733822093497754449809276721203983161539617323099229930780784356414636961143330425673087409056006053273401343516693426658759001573<221>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovFebruary 4, 2024 08:24:23 UTC 2024 年 2 月 4 日 (日) 17 時 24 分 23 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 6, 2024 22:00:53 UTC 2024 年 3 月 7 日 (木) 7 時 0 分 53 秒 (日本時間)

## 71×10242-359

### c243

composite cofactor 合成数の残り `157777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<243>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovFebruary 4, 2024 08:24:28 UTC 2024 年 2 月 4 日 (日) 17 時 24 分 28 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 9, 2024 16:46:07 UTC 2024 年 3 月 10 日 (日) 1 時 46 分 7 秒 (日本時間)

## 71×10245-359

### c184

composite cofactor 合成数の残り `2732476298152206600681140301149100020262847746669429758818425181007395584162267157143924172613797288286395723630693329770588780733899723331076083842860382588590060220157301428710034841<184>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovFebruary 4, 2024 08:24:33 UTC 2024 年 2 月 4 日 (日) 17 時 24 分 33 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 4, 2024 09:26:23 UTC 2024 年 2 月 4 日 (日) 18 時 26 分 23 秒 (日本時間)

## 71×10247-359

### c228

composite cofactor 合成数の残り `414817422745440063367780389739645585907943267539688111902292158791307778241033745342175296960835509053969587700699310328687306390913954746464947446248169383098513780316369741807062400791264322583705112475776696283090533093330139<228>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovFebruary 4, 2024 08:24:39 UTC 2024 年 2 月 4 日 (日) 17 時 24 分 39 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 6, 2024 22:01:01 UTC 2024 年 3 月 7 日 (木) 7 時 1 分 1 秒 (日本時間)

## 71×10248-359

### c222

composite cofactor 合成数の残り `235467737708357849207266296905006959264957954544783078813653589054091249881141279425294866891860893451222858699544399968703801841741911127194290282787481392793394916620262366587370158419639491864241956973619789594883401923<222>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovFebruary 4, 2024 08:24:44 UTC 2024 年 2 月 4 日 (日) 17 時 24 分 44 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 6, 2024 22:01:09 UTC 2024 年 3 月 7 日 (木) 7 時 1 分 9 秒 (日本時間)

## 71×10249-359

### c218

composite cofactor 合成数の残り `84833933554391508788478062341588034128316281211868891360426870995795031203987391789372004057203744234361401191358689208189144207504774102019862031452537288844573880695860767659054957300377391104780847039315904843110823<218>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovFebruary 4, 2024 08:24:49 UTC 2024 年 2 月 4 日 (日) 17 時 24 分 49 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 6, 2024 22:01:17 UTC 2024 年 3 月 7 日 (木) 7 時 1 分 17 秒 (日本時間)

## 71×10251-359

### c219

name 名前 Dmitry Domanov March 7, 2024 13:28:24 UTC 2024 年 3 月 7 日 (木) 22 時 28 分 24 秒 (日本時間) `246306021801480425474772650571326612590325377615693723542417564862876896849283430652716240526940897572155722085755078662974390734584660479832760913493835575927472388675412690457444791549161245138846748042917803857953417<219>` `371656735962174965727089787606879408314597<42>` `662724492706484948855850894210450526119368935646467465158697088419575683579677153378472773139590735404899696289073447185941920300808075255570926641984991970646254156234860879061<177>` ```Resuming ECM residue saved by @425794bf8b5e with GMP-ECM 7.0.5-dev on Thu Mar 7 10:00:16 2024 Input number is 246306021801480425474772650571326612590325377615693723542417564862876896849283430652716240526940897572155722085755078662974390734584660479832760913493835575927472388675412690457444791549161245138846748042917803857953417 (219 digits) Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:4065752139 Step 1 took 0ms Step 2 took 9911ms ********** Factor found in step 2: 371656735962174965727089787606879408314597 Found prime factor of 42 digits: 371656735962174965727089787606879408314597 Composite cofactor 662724492706484948855850894210450526119368935646467465158697088419575683579677153378472773139590735404899696289073447185941920300808075255570926641984991970646254156234860879061 has 177 digits```

### c177

name 名前 Dmitry Domanov March 9, 2024 11:54:48 UTC 2024 年 3 月 9 日 (土) 20 時 54 分 48 秒 (日本時間) `662724492706484948855850894210450526119368935646467465158697088419575683579677153378472773139590735404899696289073447185941920300808075255570926641984991970646254156234860879061<177>` ```823881304328290954391537887040146931688169<42> 804393168317859957073073322454988113003086765866845792678151215537388671149059326213395463305331984821846976863632501529278183493926669<135>``` ```Resuming ECM residue saved by @425794bf8b5e with GMP-ECM 7.0.5-dev on Thu Mar 7 10:00:16 2024 Input number is 246306021801480425474772650571326612590325377615693723542417564862876896849283430652716240526940897572155722085755078662974390734584660479832760913493835575927472388675412690457444791549161245138846748042917803857953417 (219 digits) Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:4065751866 Step 1 took 0ms Step 2 took 10190ms ********** Factor found in step 2: 823881304328290954391537887040146931688169 Found prime factor of 42 digits: 823881304328290954391537887040146931688169 Composite cofactor 298958139367288242990360658415566487543237083635827969653484359460770617808183683984103387639131123321048682288284428055160570631866849606287816796003275306545420170770800287393 has 177 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovFebruary 4, 2024 08:24:57 UTC 2024 年 2 月 4 日 (日) 17 時 24 分 57 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 6, 2024 22:01:26 UTC 2024 年 3 月 7 日 (木) 7 時 1 分 26 秒 (日本時間)

## 71×10252-359

### c205

composite cofactor 合成数の残り `1140750847578470936052348951297367275914491942041890668783868726560909505776046486904266761973783256994754790308610584765477575671587223898612757056384617644765792117457930010573166534301946475910099392513<205>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovFebruary 4, 2024 08:25:00 UTC 2024 年 2 月 4 日 (日) 17 時 25 分 0 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 4, 2024 19:28:30 UTC 2024 年 3 月 5 日 (火) 4 時 28 分 30 秒 (日本時間)

## 71×10253-359

### c220

name 名前 Dmitry Domanov February 2, 2024 09:28:03 UTC 2024 年 2 月 2 日 (金) 18 時 28 分 3 秒 (日本時間) `1180361751731739657638327546659164769807675205208359136992185244312370269896971627540352530975658585066514763415438038580542779105942689886090369043163938084370777215716963524138133185199609436400872741818998602450026323<220>` `279335021999546040575302369278453260619606527903<48>` `4225613184062748546325707041287815085371510718655032554516131974804462754764841388918687616937553973521322142218371987182241389508740794858131781623553970573101614934664141<172>` ```Resuming ECM residue saved by @531202c07a3a with GMP-ECM 7.0.5-dev on Fri Feb 2 03:34:37 2024 Input number is 1180361751731739657638327546659164769807675205208359136992185244312370269896971627540352530975658585066514763415438038580542779105942689886090369043163938084370777215716963524138133185199609436400872741818998602450026323 (220 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:4249269402 Step 1 took 0ms Step 2 took 2948ms ********** Factor found in step 2: 279335021999546040575302369278453260619606527903 Found prime factor of 48 digits: 279335021999546040575302369278453260619606527903 Composite cofactor 4225613184062748546325707041287815085371510718655032554516131974804462754764841388918687616937553973521322142218371987182241389508740794858131781623553970573101614934664141 has 172 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosFebruary 3, 2024 16:49:47 UTC 2024 年 2 月 4 日 (日) 1 時 49 分 47 秒 (日本時間)
4511e662721792Dmitry DomanovFebruary 4, 2024 09:26:34 UTC 2024 年 2 月 4 日 (日) 18 時 26 分 34 秒 (日本時間)
4480Ignacio SantosFebruary 4, 2024 16:22:06 UTC 2024 年 2 月 5 日 (月) 1 時 22 分 6 秒 (日本時間)
5043e61792 / 6051Dmitry DomanovMay 29, 2024 16:59:33 UTC 2024 年 5 月 30 日 (木) 1 時 59 分 33 秒 (日本時間)

## 71×10255-359

### c252

composite cofactor 合成数の残り `102393262234913218104859353480289297019779205514814574455044310323692502938398194417403970262689193184358347574649735724432330312011018091879925873046776414937879017313114269438495540124458289167225503133089608526041779335309090646880250358736957477953<252>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovFebruary 4, 2024 08:25:10 UTC 2024 年 2 月 4 日 (日) 17 時 25 分 10 秒 (日本時間)
2350Ignacio SantosMarch 23, 2024 10:28:29 UTC 2024 年 3 月 23 日 (土) 19 時 28 分 29 秒 (日本時間)

## 71×10256-359

### c243

composite cofactor 合成数の残り `417265839208284931671750315858053152493936560006178997337221569377264565114946006595656764320720976541909004313541098714167776416813825793229541744286307091706790850659376559920988389079509564205520177485045135202747448986876868255483419392443<243>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovFebruary 4, 2024 08:25:14 UTC 2024 年 2 月 4 日 (日) 17 時 25 分 14 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 9, 2024 16:46:15 UTC 2024 年 3 月 10 日 (日) 1 時 46 分 15 秒 (日本時間)

## 71×10258-359

### c225

composite cofactor 合成数の残り `199399220599309656670975399646361265367312394576103519736695494058875304067135395091517470788141921134910569692876580096924710321018229541292054083933193593221504648972304410881249095991409305295363368206821604443621095867473<225>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovFebruary 4, 2024 08:25:19 UTC 2024 年 2 月 4 日 (日) 17 時 25 分 19 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 6, 2024 22:02:05 UTC 2024 年 3 月 7 日 (木) 7 時 2 分 5 秒 (日本時間)

## 71×10261-359

### c247

name 名前 Dmitry Domanov February 2, 2024 09:28:46 UTC 2024 年 2 月 2 日 (金) 18 時 28 分 46 秒 (日本時間) `2443860565048776808095597085727457251785555209368698818782945480070444121168898492526963219476940565507662473138063401293969306024482146929274307405611494376618172992832933793755202393705985864630876434932906637399071541076977262260182253895986473<247>` ```455978590977335019252651590576227644879553<42> 5359594975304996117733233875854908210883414906827296667864986558296399449809778709074387912596744867307701652276159387331064179177875665957336056680885496880301766295163303246189748756094951679255314881641<205>``` ```Resuming ECM residue saved by @531202c07a3a with GMP-ECM 7.0.5-dev on Fri Feb 2 03:42:04 2024 Input number is 2443860565048776808095597085727457251785555209368698818782945480070444121168898492526963219476940565507662473138063401293969306024482146929274307405611494376618172992832933793755202393705985864630876434932906637399071541076977262260182253895986473 (247 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:770481716 Step 1 took 0ms Step 2 took 3365ms ********** Factor found in step 2: 455978590977335019252651590576227644879553 Found prime factor of 42 digits: 455978590977335019252651590576227644879553 Prime cofactor 5359594975304996117733233875854908210883414906827296667864986558296399449809778709074387912596744867307701652276159387331064179177875665957336056680885496880301766295163303246189748756094951679255314881641 has 205 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

## 71×10262-359

### c256

name 名前 Dmitry Domanov February 2, 2024 09:29:51 UTC 2024 年 2 月 2 日 (金) 18 時 29 分 51 秒 (日本時間) `2167594862842916369442853475609375409524689645828279746190516903751934215877214116104349054700431749787747431907640553605559740387468572355011067937811459148995845651797835998459908585197552687705433993935344339311514170796430984840467384131407416138845869<256>` `4394641156429867289662149090096040763<37>` `493235917492711521501583594287883579632932189725140158016796647134229689885421865497392393451320413044108146345781602319304814616293892230417899883827795574990895992804358988705892393410600208882401351939703069039140663<219>` ```Resuming ECM residue saved by @531202c07a3a with GMP-ECM 7.0.5-dev on Fri Feb 2 04:32:17 2024 Input number is 2167594862842916369442853475609375409524689645828279746190516903751934215877214116104349054700431749787747431907640553605559740387468572355011067937811459148995845651797835998459908585197552687705433993935344339311514170796430984840467384131407416138845869 (256 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3870197666 Step 1 took 0ms Step 2 took 3641ms ********** Factor found in step 2: 4394641156429867289662149090096040763 Found prime factor of 37 digits: 4394641156429867289662149090096040763 Composite cofactor 493235917492711521501583594287883579632932189725140158016796647134229689885421865497392393451320413044108146345781602319304814616293892230417899883827795574990895992804358988705892393410600208882401351939703069039140663 has 219 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovFebruary 4, 2024 08:26:27 UTC 2024 年 2 月 4 日 (日) 17 時 26 分 27 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 6, 2024 22:02:13 UTC 2024 年 3 月 7 日 (木) 7 時 2 分 13 秒 (日本時間)

## 71×10265-359

### c226

composite cofactor 合成数の残り `9780763555203910622926920877418245593722064961549628251288513275359970409902509588614912635937644567105501577910488126942994574907672175054989415451057197253590091774923529719004586644431946431859636534022143865416893974260749<226>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovFebruary 4, 2024 08:26:31 UTC 2024 年 2 月 4 日 (日) 17 時 26 分 31 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 6, 2024 22:02:22 UTC 2024 年 3 月 7 日 (木) 7 時 2 分 22 秒 (日本時間)

## 71×10266-359

### c243

composite cofactor 合成数の残り `517079713197885306498222758484922831881593289351513246193141449761652849338005331297371455889998968049609760834265716387712701516558561299920244411643017282375661864338285307734623288495416201032612885044737908708379500857577490976114768116777<243>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovFebruary 4, 2024 08:26:37 UTC 2024 年 2 月 4 日 (日) 17 時 26 分 37 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 9, 2024 16:46:23 UTC 2024 年 3 月 10 日 (日) 1 時 46 分 23 秒 (日本時間)

## 71×10268-359

### c268

composite cofactor 合成数の残り `5259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259<268>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovFebruary 4, 2024 08:26:42 UTC 2024 年 2 月 4 日 (日) 17 時 26 分 42 秒 (日本時間)
2350Ignacio SantosMarch 23, 2024 10:38:28 UTC 2024 年 3 月 23 日 (土) 19 時 38 分 28 秒 (日本時間)

## 71×10269-359

### c228

composite cofactor 合成数の残り `969978712522821636461818105857303076584608634355150447592232870121654604935156654263474080270574414216096620434633056511136735889258327917484295790147744696753922461362928332751366615398292816829057219509743139820673839717372359<228>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovFebruary 4, 2024 08:26:47 UTC 2024 年 2 月 4 日 (日) 17 時 26 分 47 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 6, 2024 22:02:31 UTC 2024 年 3 月 7 日 (木) 7 時 2 分 31 秒 (日本時間)

## 71×10270-359

### c249

composite cofactor 合成数の残り `161454089538267085637739042295517205761010451353614868321962713352705958721211385154163042055471698011610144153225925564541090145364839973160317940324115994099177633982397645284036775596805612057680494163417886953228030201847275979397922887560908037<249>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovFebruary 4, 2024 08:26:53 UTC 2024 年 2 月 4 日 (日) 17 時 26 分 53 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 9, 2024 16:46:31 UTC 2024 年 3 月 10 日 (日) 1 時 46 分 31 秒 (日本時間)

## 71×10271-359

### c251

composite cofactor 合成数の残り `64094420950085336627081807948311592239436073105299219421759526857778371759467126295039838061745862112549044698224675585532750614384687589812083222569344748432875854822854164097988356597688816667982313518082936143169522522245249650507215088054115092993<251>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovFebruary 4, 2024 08:26:58 UTC 2024 年 2 月 4 日 (日) 17 時 26 分 58 秒 (日本時間)
2350Ignacio SantosMarch 23, 2024 12:01:20 UTC 2024 年 3 月 23 日 (土) 21 時 1 分 20 秒 (日本時間)

## 71×10272-359

### c261

composite cofactor 合成数の残り `458624213603646834054711719597625953268531479690502127584504586358347375010525749524810852839025348123454150535767301586625773609540203787847239536799220830734984645529806195623175767625212334575563821709557018654208788453021402092681570617712027064155325195593<261>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovFebruary 4, 2024 08:27:03 UTC 2024 年 2 月 4 日 (日) 17 時 27 分 3 秒 (日本時間)
2350Ignacio SantosMarch 23, 2024 15:09:26 UTC 2024 年 3 月 24 日 (日) 0 時 9 分 26 秒 (日本時間)

## 71×10273-359

### c267

composite cofactor 合成数の残り `355196077114469114813104704124294213513214632307399492204684290845654072189200243264287968565847562000413278139865159064432543374756449929272206489787524958465196750236049054979575099944546888496122071786678040945552968877644681805473666600805309551004893476321266247<267>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovFebruary 4, 2024 08:27:08 UTC 2024 年 2 月 4 日 (日) 17 時 27 分 8 秒 (日本時間)
2350Ignacio SantosMarch 23, 2024 15:27:44 UTC 2024 年 3 月 24 日 (日) 0 時 27 分 44 秒 (日本時間)

## 71×10275-359

### c276

composite cofactor 合成数の残り `157777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<276>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovFebruary 4, 2024 08:27:15 UTC 2024 年 2 月 4 日 (日) 17 時 27 分 15 秒 (日本時間)
2350Ignacio SantosMarch 23, 2024 15:38:05 UTC 2024 年 3 月 24 日 (日) 0 時 38 分 5 秒 (日本時間)

## 71×10276-359

### c275

composite cofactor 合成数の残り `25865209471766848816029143897996357012750455373406193078324225865209471766848816029143897996357012750455373406193078324225865209471766848816029143897996357012750455373406193078324225865209471766848816029143897996357012750455373406193078324225865209471766848816029143897996357<275>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovFebruary 4, 2024 08:27:19 UTC 2024 年 2 月 4 日 (日) 17 時 27 分 19 秒 (日本時間)
2350Ignacio SantosMarch 23, 2024 15:54:10 UTC 2024 年 3 月 24 日 (日) 0 時 54 分 10 秒 (日本時間)

## 71×10277-359

### c187

composite cofactor 合成数の残り `4323079973757217756746915500963728358699801681170254784526274887152248317687341458820749566766782056128134748927387415040479080289691956991304909009747540221339555801030810916681034854181<187>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosNovember 27, 2022 15:07:02 UTC 2022 年 11 月 28 日 (月) 0 時 7 分 2 秒 (日本時間)
4511e64480Ignacio SantosDecember 3, 2022 11:56:16 UTC 2022 年 12 月 3 日 (土) 20 時 56 分 16 秒 (日本時間)
5043e61792 / 6453Dmitry DomanovApril 15, 2024 17:16:05 UTC 2024 年 4 月 16 日 (火) 2 時 16 分 5 秒 (日本時間)

## 71×10279-359

### c243

composite cofactor 合成数の残り `485211756543621820401745119162980595889598681762163154463934006956090391369287480576147365511605571789050959635450588296419617029989380680227656921835404243788460804311487343036736750115716571420914778175464149576483281942396424018364030337271<243>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovFebruary 4, 2024 08:27:31 UTC 2024 年 2 月 4 日 (日) 17 時 27 分 31 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 9, 2024 16:46:38 UTC 2024 年 3 月 10 日 (日) 1 時 46 分 38 秒 (日本時間)

## 71×10281-359

### c261

composite cofactor 合成数の残り `177967254510390887258272405263034639818150124058778893405812921605893887921553888391938090414545016086779994891065416436961710362582873977421331158088049441031629477042604446963394246743282117758343349815284315535397169190935717300529600861900066097937223412953<261>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovFebruary 4, 2024 08:27:36 UTC 2024 年 2 月 4 日 (日) 17 時 27 分 36 秒 (日本時間)
2350Ignacio SantosMarch 23, 2024 11:21:36 UTC 2024 年 3 月 23 日 (土) 20 時 21 分 36 秒 (日本時間)

## 71×10282-359

### c279

composite cofactor 合成数の残り `592481328493345016063754328868861351024325113698001418617265406600742687862477573329995410355906037468185421621396086285308966495598114073517753577836191429882755455417866232736679601118204197438144114824550423498977761088162890641298452038219218091542537655943589101681478699879<279>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovFebruary 4, 2024 08:27:41 UTC 2024 年 2 月 4 日 (日) 17 時 27 分 41 秒 (日本時間)
2350Ignacio SantosMarch 23, 2024 11:37:10 UTC 2024 年 3 月 23 日 (土) 20 時 37 分 10 秒 (日本時間)

## 71×10284-359

### c254

composite cofactor 合成数の残り `77497171788830717924567148842402612017175203824242908359782484378216755123364511356271344587569973160159147504995334870752957650973528783687947315901162548044925686613987888130194999540802131626849743430504817663574773357355985688691877435322760153836633<254>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovFebruary 4, 2024 08:27:47 UTC 2024 年 2 月 4 日 (日) 17 時 27 分 47 秒 (日本時間)
2350Ignacio SantosMarch 23, 2024 11:45:29 UTC 2024 年 3 月 23 日 (土) 20 時 45 分 29 秒 (日本時間)

## 71×10286-359

### c275

name 名前 Dmitry Domanov February 2, 2024 09:27:26 UTC 2024 年 2 月 2 日 (金) 18 時 27 分 26 秒 (日本時間) `11457330059580991069313257256446096240455186978152558998798501177552605852302496154726578819120962457061818784955288813216146142279188849081478338770992708654740180895810790858887791682441821049218918798218528892836442155116995790762789091684377356251643335383423384404184297<275>` `11384758572554624020586104614812569879<38>` `1006374442335678159683502908208518702769375074912833657905079971355270483633734895920366687425096147533637516468525346284332742939487472844660675985342562242636484461844549782301047835010373784362708305808115548718070785242105880934060543<238>` ```Resuming ECM residue saved by @531202c07a3a with GMP-ECM 7.0.5-dev on Fri Feb 2 03:27:13 2024 Input number is 11457330059580991069313257256446096240455186978152558998798501177552605852302496154726578819120962457061818784955288813216146142279188849081478338770992708654740180895810790858887791682441821049218918798218528892836442155116995790762789091684377356251643335383423384404184297 (275 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1537391665 Step 1 took 0ms Step 2 took 4013ms ********** Factor found in step 2: 11384758572554624020586104614812569879 Found prime factor of 38 digits: 11384758572554624020586104614812569879 Composite cofactor 1006374442335678159683502908208518702769375074912833657905079971355270483633734895920366687425096147533637516468525346284332742939487472844660675985342562242636484461844549782301047835010373784362708305808115548718070785242105880934060543 has 238 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovFebruary 4, 2024 08:27:52 UTC 2024 年 2 月 4 日 (日) 17 時 27 分 52 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 9, 2024 16:46:47 UTC 2024 年 3 月 10 日 (日) 1 時 46 分 47 秒 (日本時間)

## 71×10287-359

### c230

composite cofactor 合成数の残り `69151589682057851245910086052197945276703997750679977739106764911050067530244338288673639300476318205708584361521609275707501707381196854930179699234528046376453047687607217580889519141331860506709769715668494256637618812542927547<230>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovFebruary 4, 2024 08:27:56 UTC 2024 年 2 月 4 日 (日) 17 時 27 分 56 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 6, 2024 22:02:48 UTC 2024 年 3 月 7 日 (木) 7 時 2 分 48 秒 (日本時間)

## 71×10288-359

### c215

composite cofactor 合成数の残り `47383025084090004067895716095635772588652276871414832405415000417716197135136090192014389950393173348220218948526271071585610895365459741721719145059210326563837376660384258057629953327103690184933002590229364223933<215>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovFebruary 4, 2024 08:28:02 UTC 2024 年 2 月 4 日 (日) 17 時 28 分 2 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 6, 2024 22:02:56 UTC 2024 年 3 月 7 日 (木) 7 時 2 分 56 秒 (日本時間)

## 71×10290-359

### c266

composite cofactor 合成数の残り `19976086173317694492040515859322991237402706306529708500105557188060252478339893937588076719726180464113012240168269336046059752064921400258358931021999915132777807743330660070244798763034976730489754449157799571691188969196529659010309009179854563659010025019203203<266>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovFebruary 4, 2024 08:28:44 UTC 2024 年 2 月 4 日 (日) 17 時 28 分 44 秒 (日本時間)
2350Ignacio SantosMarch 23, 2024 10:56:05 UTC 2024 年 3 月 23 日 (土) 19 時 56 分 5 秒 (日本時間)

## 71×10291-359

### c232

composite cofactor 合成数の残り `5294961643084315548115093244256586874644012836463151855900908004164260052004597763210226669168916787024834344340914506385448443339142467319197782142377559700142962731072103714514820060070555014578127871062405287322505312759158174527<232>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovFebruary 4, 2024 08:28:50 UTC 2024 年 2 月 4 日 (日) 17 時 28 分 50 秒 (日本時間)
4511e61972 / 4038Dmitry DomanovMarch 9, 2024 16:47:00 UTC 2024 年 3 月 10 日 (日) 1 時 47 分 0 秒 (日本時間)

## 71×10292-359

### c203

composite cofactor 合成数の残り `93434670887127826686078522060885392413810542376103518827530062600478896019304375610526727995939127822827779937960707097828178187945659295972826883623386928117218391033080307261251398202479404782041453383<203>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovFebruary 4, 2024 08:28:56 UTC 2024 年 2 月 4 日 (日) 17 時 28 分 56 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 5, 2024 10:22:41 UTC 2024 年 3 月 5 日 (火) 19 時 22 分 41 秒 (日本時間)

## 71×10293-359

### c279

composite cofactor 合成数の残り `143124424173352619998220485249262634701665497062470412452115109652724236280929777259900007664157037178785547320190980920148568647616241522044825209840677551992438977810407579234534603522844428317261842521466115413318323927173548887193321339538717259626659299584812783095561484003<279>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovFebruary 4, 2024 08:29:01 UTC 2024 年 2 月 4 日 (日) 17 時 29 分 1 秒 (日本時間)
2350Ignacio SantosMarch 23, 2024 16:32:44 UTC 2024 年 3 月 24 日 (日) 1 時 32 分 44 秒 (日本時間)

## 71×10294-359

### c279

composite cofactor 合成数の残り `578132056670581929393801147084592304912950450118052808139203763176849293295327035043933095902394237843907178921232326520017072910289202144132152093012378140080475671513326533205843330592335848920073099420905009886932335234935010514733915667502731332303095618057390461697045641993<279>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovFebruary 4, 2024 08:29:07 UTC 2024 年 2 月 4 日 (日) 17 時 29 分 7 秒 (日本時間)

## 71×10295-359

### c272

composite cofactor 合成数の残り `48411969735783939194068723569335954338543345357801686493780718095098680773446407949800138515725806223609009614422148112522727429562684545802611735768922839440104942534957268817694842146581267018539271064799664626583604032232539350912273496778060414439951811175882676173091<272>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovFebruary 4, 2024 08:29:14 UTC 2024 年 2 月 4 日 (日) 17 時 29 分 14 秒 (日本時間)
2350Ignacio SantosMarch 23, 2024 16:55:04 UTC 2024 年 3 月 24 日 (日) 1 時 55 分 4 秒 (日本時間)

## 71×10297-359

### c289

composite cofactor 合成数の残り `4119939262126183791976562949101939890142452073123015882766534096508677211672678184647979244806736699999670665981940885125192070661723548452866148074070286244469838531482605668804953731873667518254920645903547452608725274739041864830413915503602227839515691414359315935416485514460527959081<289>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovFebruary 4, 2024 08:29:19 UTC 2024 年 2 月 4 日 (日) 17 時 29 分 19 秒 (日本時間)
2350Ignacio SantosMarch 23, 2024 17:16:13 UTC 2024 年 3 月 24 日 (日) 2 時 16 分 13 秒 (日本時間)

## 71×10298-359

### c285

composite cofactor 合成数の残り `639677486447181712406563758865015125187727327893918998457788224266820013495173141440513706506454524181959254909233851553843454708028943982674967277547105319448806109024007443413729008866607128767852051482862984708338764525104118059311059370160552408706667147908773267060275386200817571<285>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovFebruary 4, 2024 08:29:25 UTC 2024 年 2 月 4 日 (日) 17 時 29 分 25 秒 (日本時間)
2350Ignacio SantosMarch 23, 2024 17:33:38 UTC 2024 年 3 月 24 日 (日) 2 時 33 分 38 秒 (日本時間)

## 71×10300-359

### c279

composite cofactor 合成数の残り `109661241478070984223518830753245828675362640393900747637852632447912470883214647225245719981249772452470988008550010258935770142634287044502156274387935672397583905948154739107029578985071111715742060700520360251129166289936767344288465505578211990953534815558533211035747336293<279>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovNovember 30, 2022 14:22:14 UTC 2022 年 11 月 30 日 (水) 23 時 22 分 14 秒 (日本時間)
4511e63584Dmitry DomanovNovember 30, 2022 14:22:14 UTC 2022 年 11 月 30 日 (水) 23 時 22 分 14 秒 (日本時間)
5043e6130 / 6675Dmitry DomanovNovember 30, 2022 14:22:14 UTC 2022 年 11 月 30 日 (水) 23 時 22 分 14 秒 (日本時間)