## 3×10136+4

### c96

name 名前 Eric Jeancolas June 13, 2022 08:47:00 UTC 2022 年 6 月 13 日 (月) 17 時 47 分 0 秒 (日本時間) `286325345634916143716947523380361635396105187616672893211008538389946271836026079246912283320931<96>` ```403722104333318970571146770232898796943127039<45> 709213943357735206398913520221399321458762218211229<51>``` ```286325345634916143716947523380361635396105187616672893211008538389946271836026079246912283320931=403722104333318970571146770232898796943127039*709213943357735206398913520221399321458762218211229 cado polynomial n: 286325345634916143716947523380361635396105187616672893211008538389946271836026079246912283320931 skew: 175173.619 c0: 1072562739395818142998551 c1: 155374059179391050999 c2: 24470914915511 c3: -3590957701 c4: 8160 Y0: -84106907267372523452060 Y1: 58623744996673243 # MurphyE (Bf=3.355e+07,Bg=1.678e+07,area=4.194e+11) = 8.771e-06 # f(x) = 8160*x^4-3590957701*x^3+24470914915511*x^2+155374059179391050999*x+1072562739395818142998551 # g(x) = 58623744996673243*x-84106907267372523452060 cado parameters (extracts) tasks.lim0 = 600000 tasks.lim1 = 850000 tasks.lpb0 = 24 tasks.lpb1 = 25 tasks.sieve.mfb0 = 48 tasks.sieve.mfb1 = 50 tasks.I = 11 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 403722104333318970571146770232898796943127039 709213943357735206398913520221399321458762218211229 Info:Square Root: Total cpu/real time for sqrt: 29.99/11.5542 Info:Filtering - Singleton removal: Total cpu/real time for purge: 25.34/31.8718 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 2668340 Info:Lattice Sieving: Average J: 1022.69 for 46708 special-q, max bucket fill -bkmult 1.0,1s:1.360080 Info:Lattice Sieving: Total time: 2563.56s Info:Generate Factor Base: Total cpu/real time for makefb: 0.59/0.298729 Info:Linear Algebra: Total cpu/real time for bwc: 3018.79/1073.56 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 127.95, WCT time 66.2, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4480 iterations) Info:Linear Algebra: Lingen CPU time 2807.54, WCT time 964.57 Info:Linear Algebra: Mksol: CPU time 73.22, WCT time 37.23, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (2304 iterations) Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 10.36/13.8235 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 13.1s Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 52.56 Info:Polynomial Selection (root optimized): Rootsieve time: 52.16 Info:Filtering - Merging: Merged matrix has 142329 rows and total weight 20789953 (146.1 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 23.29/8.94685 Info:Filtering - Merging: Total cpu/real time for replay: 4.62/3.7763 Info:Generate Free Relations: Total cpu/real time for freerel: 23.99/9.20866 Info:Quadratic Characters: Total cpu/real time for characters: 5.25/2.64357 Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 7181.67 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 7354/29.960/36.901/44.790/1.408 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 4847/29.930/34.871/38.740/1.174 Info:Polynomial Selection (size optimized): Total time: 125.11 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 34.87/49.4095 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 31.9s Info:Square Root: Total cpu/real time for sqrt: 29.99/11.5542 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 6653.84/2537.24 Info:root: Cleaning up computation data in /tmp/cado.668bg6ol 403722104333318970571146770232898796943127039 709213943357735206398913520221399321458762218211229``` `cado-nfs-3.0.0` ```Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

## 3×10139+4

### c112

name 名前 Eric Jeancolas June 15, 2022 05:45:00 UTC 2022 年 6 月 15 日 (水) 14 時 45 分 0 秒 (日本時間) `1074431467092813176475187638800202297625544885342128785757159832587569631703526750986218680153196348587988015591<112>` ```372290112887518116637609635030634659055651843<45> 2886005912860319653314862663173015469991854995776400156702015061837<67>``` ```1074431467092813176475187638800202297625544885342128785757159832587569631703526750986218680153196348587988015591=372290112887518116637609635030634659055651843*2886005912860319653314862663173015469991854995776400156702015061837 cado polynomial n: 1074431467092813176475187638800202297625544885342128785757159832587569631703526750986218680153196348587988015591 skew: 0.84 type: snfs c0: 5 c5: 12 Y0: 5000000000000000000000000000 Y1: -1 # f(x) = 12*x^5+5 # g(x) = -x+5000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 1480000 tasks.lim1 = 1480000 tasks.lpb0 = 26 tasks.lpb1 = 26 tasks.sieve.mfb0 = 48 tasks.sieve.mfb1 = 48 tasks.sieve.lambda0 = 2.3 tasks.sieve.lambda1 = 2.3 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 372290112887518116637609635030634659055651843 2886005912860319653314862663173015469991854995776400156702015061837 Info:Square Root: Total cpu/real time for sqrt: 18.63/14.9742 Info:Filtering - Singleton removal: Total cpu/real time for purge: 48.59/54.7879 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 6069995 Info:Lattice Sieving: Average J: 1892.08 for 50359 special-q, max bucket fill -bkmult 1.0,1s:1.204320 Info:Lattice Sieving: Total time: 10670.1s Info:Linear Algebra: Total cpu/real time for bwc: 354.01/317.4 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 139.47, WCT time 121.94, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (3968 iterations) Info:Linear Algebra: Lingen CPU time 132.42, WCT time 114.12 Info:Linear Algebra: Mksol: CPU time 74.11, WCT time 77.52, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (1984 iterations) Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 21.98/27.9871 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 27.9s Info:Generate Free Relations: Total cpu/real time for freerel: 30.16/21.1829 Info:Filtering - Merging: Merged matrix has 126056 rows and total weight 21513320 (170.7 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 26.4/10.2971 Info:Filtering - Merging: Total cpu/real time for replay: 4.2/3.87053 Info:Generate Factor Base: Total cpu/real time for makefb: 0.65/0.834658 Info:Quadratic Characters: Total cpu/real time for characters: 4.12/3.34131 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 47.5/58.4245 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 47.7s Info:Square Root: Total cpu/real time for sqrt: 18.63/14.9742 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 10399.7/6015.2 Info:root: Cleaning up computation data in /tmp/cado.unnon9t2 372290112887518116637609635030634659055651843 2886005912860319653314862663173015469991854995776400156702015061837``` `cado-nfs-3.0.0` ```Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

## 3×10141+4

### c103

name 名前 Eric Jeancolas June 15, 2022 05:25:10 UTC 2022 年 6 月 15 日 (水) 14 時 25 分 10 秒 (日本時間) `1734364005424003911765534316584459747475259398437502606701002576964869367110368349966250802598281486609<103>` ```66176481802702939983290375811570187793146754653<47> 26208162751758205749390949674016745878907972892356330053<56>``` ```1734364005424003911765534316584459747475259398437502606701002576964869367110368349966250802598281486609=66176481802702939983290375811570187793146754653*26208162751758205749390949674016745878907972892356330053 cado polynomial n: 1734364005424003911765534316584459747475259398437502606701002576964869367110368349966250802598281486609 skew: 0.60 type: snfs c0: 2 c4: 15 Y0: 100000000000000000000000000000000000 Y1: -1 # f(x) = 15*x^4+2 # g(x) = -x+100000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 1580000 tasks.lim1 = 1580000 tasks.lpb0 = 26 tasks.lpb1 = 26 tasks.sieve.mfb0 = 48 tasks.sieve.mfb1 = 48 tasks.sieve.lambda0 = 2.3 tasks.sieve.lambda1 = 2.3 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 66176481802702939983290375811570187793146754653 26208162751758205749390949674016745878907972892356330053 Info:Square Root: Total cpu/real time for sqrt: 40.51/33.1524 Info:Filtering - Singleton removal: Total cpu/real time for purge: 44.43/63.1209 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 6102047 Info:Lattice Sieving: Average J: 1892.48 for 106305 special-q, max bucket fill -bkmult 1.0,1s:1.346950 Info:Lattice Sieving: Total time: 19086.9s Info:Linear Algebra: Total cpu/real time for bwc: 542.02/551.17 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 221.65, WCT time 236.66, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (5248 iterations) Info:Linear Algebra: Lingen CPU time 185.84, WCT time 169.47 Info:Linear Algebra: Mksol: CPU time 120.23, WCT time 130.95, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (2688 iterations) Info:Generate Free Relations: Total cpu/real time for freerel: 36.49/26.4774 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.85/39.6265 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 39.4s Info:Filtering - Merging: Merged matrix has 166479 rows and total weight 28390264 (170.5 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 38.41/32.2103 Info:Filtering - Merging: Total cpu/real time for replay: 5.43/6.37374 Info:Generate Factor Base: Total cpu/real time for makefb: 0.78/1.04164 Info:Quadratic Characters: Total cpu/real time for characters: 5.27/4.67519 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 49.28/73.9165 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 67.9s Info:Square Root: Total cpu/real time for sqrt: 40.51/33.1524 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 17664.7/10613.7 Info:root: Cleaning up computation data in /tmp/cado.cw4pf5sq 66176481802702939983290375811570187793146754653 26208162751758205749390949674016745878907972892356330053``` `cado-nfs-3.0.0` ```Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

## 3×10147+4

### c147

name 名前 Bob Backstrom June 12, 2022 18:38:10 UTC 2022 年 6 月 13 日 (月) 3 時 38 分 10 秒 (日本時間) `750000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<147>` ```3613705299119663978491855118534225853091781365319633604583244628631<67> 207543210616180507116857405613734377514718027833920737715626659993846180979711271<81>``` ```Number: n N=750000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001 ( 147 digits) SNFS difficulty: 146 digits. Divisors found: Mon Jun 13 04:32:06 2022 p67 factor: 3613705299119663978491855118534225853091781365319633604583244628631 Mon Jun 13 04:32:06 2022 p81 factor: 207543210616180507116857405613734377514718027833920737715626659993846180979711271 Mon Jun 13 04:32:06 2022 elapsed time 00:03:19 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.333). Factorization parameters were as follows: # # N = 3x10^147+4 = 30(146)4 # n: 750000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001 m: 100000000000000000000000000000 deg: 5 c5: 75 c0: 1 skew: 0.42 # Murphy_E = 2.344e-09 type: snfs lss: 1 rlim: 1960000 alim: 1960000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.3 alambda: 2.3 Factor base limits: 1960000/1960000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved special-q in [100000, 6580000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 805579 hash collisions in 7882725 relations (7593589 unique) Msieve: matrix is 284859 x 285084 (95.3 MB) Sieving start time : 2022/06/13 04:14:34 Sieving end time : 2022/06/13 04:28:34 Total sieving time: 0hrs 14min 0secs. Total relation processing time: 0hrs 1min 19sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 12sec. Prototype def-par.txt line would be: snfs,146,5,0,0,0,0,0,0,0,0,1960000,1960000,26,26,49,49,2.3,2.3,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.117895] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved) [ 0.154151] x86/mm: Memory block size: 128MB [ 0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798644) [ 0.152036] smpboot: Total of 16 processors activated (102389.15 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

## 3×10149+4

### c122

name 名前 Eric Jeancolas June 18, 2022 08:23:02 UTC 2022 年 6 月 18 日 (土) 17 時 23 分 2 秒 (日本時間) `10912380657223850806173096655363847904747010785054742052866153163696635264194258241604199938032945182163038319857635349199<122>` ```2352865115795956391748895209273450167699<40> 4637911703464682182358497067424882021175235602723704587916498264137342669242268501<82>``` ```GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 10912380657223850806173096655363847904747010785054742052866153163696635264194258241604199938032945182163038319857635349199 (122 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:2619457944 Step 1 took 2030ms Step 2 took 1297ms ********** Factor found in step 2: 2352865115795956391748895209273450167699 Found prime factor of 40 digits: 2352865115795956391748895209273450167699 Prime cofactor 4637911703464682182358497067424882021175235602723704587916498264137342669242268501 has 82 digits``` `GMP-ECM 7.0.4` ```Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

## 3×10156+4

### c140

name 名前 Bob Backstrom June 13, 2022 03:41:12 UTC 2022 年 6 月 13 日 (月) 12 時 41 分 12 秒 (日本時間) `22751527970623382666505722073098511525721840551430085728087635945218745533190981552427398827350428614669034980378355410692661770089013855567<140>` ```3238339949455707933643312850274440022551506481712301925355588031<64> 7025676218596939611938791781592882927285653964969603907423000647498424223857<76>``` ```Number: n N=22751527970623382666505722073098511525721840551430085728087635945218745533190981552427398827350428614669034980378355410692661770089013855567 ( 140 digits) SNFS difficulty: 156 digits. Divisors found: Mon Jun 13 13:38:12 2022 p64 factor: 3238339949455707933643312850274440022551506481712301925355588031 Mon Jun 13 13:38:12 2022 p76 factor: 7025676218596939611938791781592882927285653964969603907423000647498424223857 Mon Jun 13 13:38:12 2022 elapsed time 00:06:13 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.322). Factorization parameters were as follows: # # N = 3x10^156+4 = 30(155)4 # n: 22751527970623382666505722073098511525721840551430085728087635945218745533190981552427398827350428614669034980378355410692661770089013855567 m: 10000000000000000000000000000000 deg: 5 c5: 15 c0: 2 skew: 0.67 # Murphy_E = 8.994e-10 type: snfs lss: 1 rlim: 2800000 alim: 2800000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4 Factor base limits: 2800000/2800000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved special-q in [100000, 7000000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1493071 hash collisions in 15214018 relations (14714209 unique) Msieve: matrix is 383667 x 383894 (127.7 MB) Sieving start time : 2022/06/13 12:51:57 Sieving end time : 2022/06/13 13:31:43 Total sieving time: 0hrs 39min 46secs. Total relation processing time: 0hrs 2min 29sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 16sec. Prototype def-par.txt line would be: snfs,156,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.117895] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved) [ 0.154151] x86/mm: Memory block size: 128MB [ 0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798644) [ 0.152036] smpboot: Total of 16 processors activated (102389.15 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

## 3×10159+4

### c119

name 名前 Eric Jeancolas June 19, 2022 13:03:32 UTC 2022 年 6 月 19 日 (日) 22 時 3 分 32 秒 (日本時間) `44019667626332693524432306024497330988795001897966217609844802619054712928889126848685743220996633814778744794802908249<119>` ```1008975224825236776126488513733061883131376543<46> 43628095659095375878310357778665831765564198332743183246848871523352878343<74>``` ```44019667626332693524432306024497330988795001897966217609844802619054712928889126848685743220996633814778744794802908249=1008975224825236776126488513733061883131376543*43628095659095375878310357778665831765564198332743183246848871523352878343 cado polynomial n: 44019667626332693524432306024497330988795001897966217609844802619054712928889126848685743220996633814778744794802908249 skew: 0.84 type: snfs c0: 5 c5: 12 Y0: 50000000000000000000000000000000 Y1: -1 # f(x) = 12*x^5+5 # g(x) = -x+50000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 3200000 tasks.lim1 = 3200000 tasks.lpb0 = 27 tasks.lpb1 = 27 tasks.sieve.mfb0 = 50 tasks.sieve.mfb1 = 50 tasks.sieve.lambda0 = 2.4 tasks.sieve.lambda1 = 2.4 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 1008975224825236776126488513733061883131376543 43628095659095375878310357778665831765564198332743183246848871523352878343 Info:Square Root: Total cpu/real time for sqrt: 92.54/28.7611 Info:Filtering - Singleton removal: Total cpu/real time for purge: 89.04/78.1328 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 11648598 Info:Lattice Sieving: Average J: 1892.91 for 214312 special-q, max bucket fill -bkmult 1.0,1s:1.252700 Info:Lattice Sieving: Total time: 26962s Info:Linear Algebra: Total cpu/real time for bwc: 1482.04/382.05 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 909.71, WCT time 232.2, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9984 iterations) Info:Linear Algebra: Lingen CPU time 47.48, WCT time 12.12 Info:Linear Algebra: Mksol: CPU time 496.18, WCT time 126.57, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4992 iterations) Info:Generate Free Relations: Total cpu/real time for freerel: 59.87/17.5385 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 44.19/48.3808 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 48.3s Info:Filtering - Merging: Merged matrix has 318043 rows and total weight 54250246 (170.6 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 65.22/18.2431 Info:Filtering - Merging: Total cpu/real time for replay: 9.84/8.18279 Info:Generate Factor Base: Total cpu/real time for makefb: 1.4/0.766282 Info:Quadratic Characters: Total cpu/real time for characters: 9.85/3.8771 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 99.76/84.8173 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 76.9s Info:Square Root: Total cpu/real time for sqrt: 92.54/28.7611 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 51229.8/14348.3 Info:root: Cleaning up computation data in /tmp/cado.nypdbyy9 1008975224825236776126488513733061883131376543 43628095659095375878310357778665831765564198332743183246848871523352878343``` `cado-nfs-3.0.0` ```Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

## 3×10161+4

### c108

name 名前 Eric Jeancolas June 13, 2022 07:12:39 UTC 2022 年 6 月 13 日 (月) 16 時 12 分 39 秒 (日本時間) `173775220651925725288669141457189004146337435613989847760638310961737573498897611795378222787178240232106783<108>` ```3539842596224855665402401625542151<34> 49091228191121321968614849530526727985311943547152419408553214810803745833<74>``` ```173775220651925725288669141457189004146337435613989847760638310961737573498897611795378222787178240232106783=3539842596224855665402401625542151*49091228191121321968614849530526727985311943547152419408553214810803745833 cado polynomial n: 173775220651925725288669141457189004146337435613989847760638310961737573498897611795378222787178240232106783 skew: 18988.253 c0: -34454909089967347938951840 c1: 329569755634767973271 c2: 282221415169119558 c3: 4835842626661 c4: -218345730 c5: 13680 Y0: -603204590357585027238 Y1: 1876147890012889 # MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 2.044e-06 # f(x) = 13680*x^5-218345730*x^4+4835842626661*x^3+282221415169119558*x^2+329569755634767973271*x-34454909089967347938951840 # g(x) = 1876147890012889*x-603204590357585027238 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: 49091228191121321968614849530526727985311943547152419408553214810803745833 3539842596224855665402401625542151 Info:Square Root: Total cpu/real time for sqrt: 75.74/59.4371 Info:Quadratic Characters: Total cpu/real time for characters: 10.4/8.53343 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 76.93/112.09 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 81.2s Info:Square Root: Total cpu/real time for sqrt: 75.74/59.4371 Info:Linear Algebra: Total cpu/real time for bwc: 1084.68/990.37 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 531.28, WCT time 493.57, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (8576 iterations) Info:Linear Algebra: Lingen CPU time 232.23, WCT time 194.52 Info:Linear Algebra: Mksol: CPU time 298.7, WCT time 281.9, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (4352 iterations) Info:Filtering - Singleton removal: Total cpu/real time for purge: 54.96/87.3183 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 4919372 Info:Lattice Sieving: Average J: 1900.77 for 62450 special-q, max bucket fill -bkmult 1.0,1s:1.285050 Info:Lattice Sieving: Total time: 12379.9s Info:Generate Factor Base: Total cpu/real time for makefb: 2.37/1.8478 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 19.65/25.6896 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 24.6s Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 242.75 Info:Polynomial Selection (root optimized): Rootsieve time: 241.74 Info:Generate Free Relations: Total cpu/real time for freerel: 62.71/40.7408 Info:Filtering - Merging: Merged matrix has 273684 rows and total weight 42567061 (155.5 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 44.78/34.645 Info:Filtering - Merging: Total cpu/real time for replay: 9.98/11.283 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): 11715/31.810/37.960/42.850/1.033 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 8990/30.710/33.664/38.410/0.859 Info:Polynomial Selection (size optimized): Total time: 740.02 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 13899.3/8010.42 Info:root: Cleaning up computation data in /tmp/cado.jfderj4l 49091228191121321968614849530526727985311943547152419408553214810803745833 3539842596224855665402401625542151``` `cado-nfs-3.0.0` ```Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

## 3×10162+4

### c138

name 名前 Eric Jeancolas June 21, 2022 06:22:18 UTC 2022 年 6 月 21 日 (火) 15 時 22 分 18 秒 (日本時間) `125185622680847264834383311057027490832738912309842067673275344290701330975131597228882152718583430182805847720138007641215036749973460081<138>` ```1384549200834847348411366473435020416455427974244237<52> 90416160440787205710606328959011140740497509326964772794977153063384745914730168305013<86>``` ```125185622680847264834383311057027490832738912309842067673275344290701330975131597228882152718583430182805847720138007641215036749973460081=1384549200834847348411366473435020416455427974244237*90416160440787205710606328959011140740497509326964772794977153063384745914730168305013 cado polynomial n: 125185622680847264834383311057027490832738912309842067673275344290701330975131597228882152718583430182805847720138007641215036749973460081 skew: 0.42 type: snfs c0: 1 c5: 75 Y0: 100000000000000000000000000000000 Y1: -1 # f(x) = 75*x^5+1 # g(x) = -x+100000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 3500000 tasks.lim1 = 3500000 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: 90416160440787205710606328959011140740497509326964772794977153063384745914730168305013 1384549200834847348411366473435020416455427974244237 Info:Square Root: Total cpu/real time for sqrt: 75.96/24.2628 Info:Filtering - Singleton removal: Total cpu/real time for purge: 74.75/70.8728 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 11632566 Info:Lattice Sieving: Average J: 1894.4 for 214267 special-q, max bucket fill -bkmult 1.0,1s:1.231000 Info:Lattice Sieving: Total time: 27267.9s Info:Linear Algebra: Total cpu/real time for bwc: 2279.32/592.06 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 1413.14, WCT time 364.89, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12288 iterations) Info:Linear Algebra: Lingen CPU time 63.06, WCT time 16.08 Info:Linear Algebra: Mksol: CPU time 767.29, WCT time 196.58, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6144 iterations) Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 44.12/48.3677 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 48.2s Info:Filtering - Merging: Merged matrix has 390703 rows and total weight 66448142 (170.1 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 79.73/22.4028 Info:Filtering - Merging: Total cpu/real time for replay: 12.49/10.44 Info:Generate Free Relations: Total cpu/real time for freerel: 60.62/17.6656 Info:Generate Factor Base: Total cpu/real time for makefb: 1.53/0.979896 Info:Quadratic Characters: Total cpu/real time for characters: 12.76/4.98422 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 101.33/85.6578 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 77.4s Info:Square Root: Total cpu/real time for sqrt: 75.96/24.2628 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 52683.9/14679.8 Info:root: Cleaning up computation data in /tmp/cado.w5izpnv9 90416160440787205710606328959011140740497509326964772794977153063384745914730168305013 1384549200834847348411366473435020416455427974244237``` `cado-nfs-3.0.0` ```Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

## 3×10163+4

### c133

name 名前 Eric Jeancolas June 21, 2022 06:27:14 UTC 2022 年 6 月 21 日 (火) 15 時 27 分 14 秒 (日本時間) `8450170769886937600193568971015420727395680761988541591478593756275338828551036395752839014935910866872341813778803628408582482118909<133>` ```1870480778416647708041340267058451758412610607466134691<55> 4517646408021344862251389631814514055778972134168841453177138199363587335429599<79>``` ```8450170769886937600193568971015420727395680761988541591478593756275338828551036395752839014935910866872341813778803628408582482118909=1870480778416647708041340267058451758412610607466134691*4517646408021344862251389631814514055778972134168841453177138199363587335429599 cado polynomial n: 8450170769886937600193568971015420727395680761988541591478593756275338828551036395752839014935910866872341813778803628408582482118909 skew: 0.27 type: snfs c0: 1 c5: 750 Y0: 100000000000000000000000000000000 Y1: -1 # f(x) = 750*x^5+1 # g(x) = -x+100000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 3600000 tasks.lim1 = 3600000 tasks.lpb0 = 27 tasks.lpb1 = 27 tasks.sieve.mfb0 = 51 tasks.sieve.mfb1 = 51 tasks.sieve.lambda0 = 2.4 tasks.sieve.lambda1 = 2.4 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 4517646408021344862251389631814514055778972134168841453177138199363587335429599 1870480778416647708041340267058451758412610607466134691 Info:Square Root: Total cpu/real time for sqrt: 87.33/28.2664 Info:Filtering - Singleton removal: Total cpu/real time for purge: 72.78/68.6173 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 11630161 Info:Lattice Sieving: Average J: 1893.4 for 244425 special-q, max bucket fill -bkmult 1.0,1s:1.242440 Info:Lattice Sieving: Total time: 30574.1s Info:Generate Free Relations: Total cpu/real time for freerel: 60.37/17.4142 Info:Linear Algebra: Total cpu/real time for bwc: 2508.76/646.51 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 1557.83, WCT time 397.69, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13184 iterations) Info:Linear Algebra: Lingen CPU time 64.4, WCT time 16.41 Info:Linear Algebra: Mksol: CPU time 847.83, WCT time 216.62, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6528 iterations) Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 44.49/48.3851 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 48.3s Info:Filtering - Merging: Merged matrix has 417831 rows and total weight 71325283 (170.7 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 86.15/24.1376 Info:Filtering - Merging: Total cpu/real time for replay: 13.5/11.2806 Info:Generate Factor Base: Total cpu/real time for makefb: 1.55/0.865945 Info:Quadratic Characters: Total cpu/real time for characters: 13.65/5.35583 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 102.63/88.8397 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 80.3s Info:Square Root: Total cpu/real time for sqrt: 87.33/28.2664 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 59036.9/16429.7 Info:root: Cleaning up computation data in /tmp/cado.fsm22qrx 4517646408021344862251389631814514055778972134168841453177138199363587335429599 1870480778416647708041340267058451758412610607466134691``` `cado-nfs-3.0.0` ```Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

## 3×10165+4

### c141

name 名前 Eric Jeancolas June 21, 2022 19:38:15 UTC 2022 年 6 月 22 日 (水) 4 時 38 分 15 秒 (日本時間) `174886825394975301541337246598093669711032396340151035524399917938800935076483721976895854178137411496697897606034331464908820289624434115329<141>` ```2746324358030533136204557283041058826599493634305389<52> 63680324169863020065712302803562541820470392044646393322550228327832501540988003642479461<89>``` ```174886825394975301541337246598093669711032396340151035524399917938800935076483721976895854178137411496697897606034331464908820289624434115329=2746324358030533136204557283041058826599493634305389*63680324169863020065712302803562541820470392044646393322550228327832501540988003642479461 cado polynomial n: 174886825394975301541337246598093669711032396340151035524399917938800935076483721976895854178137411496697897606034331464908820289624434115329 skew: 1.06 type: snfs c0: 4 c5: 3 Y0: 1000000000000000000000000000000000 Y1: -1 # f(x) = 3*x^5+4 # g(x) = -x+1000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 4000000 tasks.lim1 = 4000000 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: 2746324358030533136204557283041058826599493634305389 63680324169863020065712302803562541820470392044646393322550228327832501540988003642479461 Info:Square Root: Total cpu/real time for sqrt: 81/26.432 Info:Filtering - Singleton removal: Total cpu/real time for purge: 71.59/69.7682 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 11640530 Info:Lattice Sieving: Average J: 1893.83 for 269041 special-q, max bucket fill -bkmult 1.0,1s:1.248440 Info:Lattice Sieving: Total time: 34638.5s Info:Generate Free Relations: Total cpu/real time for freerel: 59.9/16.6865 Info:Linear Algebra: Total cpu/real time for bwc: 3034.27/789.2 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 1890.8, WCT time 489.91, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (14592 iterations) Info:Linear Algebra: Lingen CPU time 74.2, WCT time 18.94 Info:Linear Algebra: Mksol: CPU time 1028.13, WCT time 263.43, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7296 iterations) Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 44.65/47.2943 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 47.2s Info:Filtering - Merging: Merged matrix has 462510 rows and total weight 79056077 (170.9 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 96.77/27.1447 Info:Filtering - Merging: Total cpu/real time for replay: 15.23/12.595 Info:Generate Factor Base: Total cpu/real time for makefb: 1.7/0.939544 Info:Quadratic Characters: Total cpu/real time for characters: 15.13/5.95394 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 103.35/90.4419 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 79.7s Info:Square Root: Total cpu/real time for sqrt: 81/26.432 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 67078.5/18617.9 Info:root: Cleaning up computation data in /tmp/cado.t9kziudn 2746324358030533136204557283041058826599493634305389 63680324169863020065712302803562541820470392044646393322550228327832501540988003642479461``` `cado-nfs-3.0.0` ```Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

## 3×10168+4

### c129

name 名前 Eric Jeancolas June 19, 2022 07:28:27 UTC 2022 年 6 月 19 日 (日) 16 時 28 分 27 秒 (日本時間) `536342980824986621670210176591606971201979500476995325271893554362815412712528932908413857849611023744397494182836965948661964981<129>` ```72609906707603133160969723177<29> 7386636412918363403035802591099816640496277538590090662448634427020280287535828984695199738689735853<100>``` ```GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 536342980824986621670210176591606971201979500476995325271893554362815412712528932908413857849611023744397494182836965948661964981 (129 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:1372913832 Step 1 took 1368ms Step 2 took 911ms ********** Factor found in step 2: 72609906707603133160969723177 Found prime factor of 29 digits: 72609906707603133160969723177 Prime cofactor 7386636412918363403035802591099816640496277538590090662448634427020280287535828984695199738689735853 has 100 digits``` `GMP-ECM 7.0.4` ```Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

## 3×10169+4

### c164

name 名前 Bob Backstrom June 14, 2022 01:15:52 UTC 2022 年 6 月 14 日 (火) 10 時 15 分 52 秒 (日本時間) `90284214707900470681706010521120487294001516774807092727907452660976754824186539225481816759157828845204704409481046333858988094521553851524599439034079281578408831<164>` ```1248764147901330889351495025494833038042823505364117104576748557625226913568949299<82> 72298852317014256675099076005153083675768246312775588630899278296366022148946132869<83>``` ```Number: n N=90284214707900470681706010521120487294001516774807092727907452660976754824186539225481816759157828845204704409481046333858988094521553851524599439034079281578408831 ( 164 digits) SNFS difficulty: 169 digits. Divisors found: Tue Jun 14 11:11:02 2022 p82 factor: 1248764147901330889351495025494833038042823505364117104576748557625226913568949299 Tue Jun 14 11:11:02 2022 p83 factor: 72298852317014256675099076005153083675768246312775588630899278296366022148946132869 Tue Jun 14 11:11:02 2022 elapsed time 00:10:10 (Msieve 1.54 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.350). Factorization parameters were as follows: # # N = 3x10^169+4 = 30(168)4 # n: 90284214707900470681706010521120487294001516774807092727907452660976754824186539225481816759157828845204704409481046333858988094521553851524599439034079281578408831 m: 5000000000000000000000000000000000 deg: 5 c5: 12 c0: 5 skew: 0.84 # Murphy_E = 3.184e-10 type: snfs lss: 1 rlim: 4700000 alim: 4700000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 4700000/4700000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved special-q in [100000, 7950000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1242616 hash collisions in 12874563 relations (12436258 unique) Msieve: matrix is 618092 x 618320 (214.6 MB) Sieving start time : 2022/06/14 10:34:23 Sieving end time : 2022/06/14 11:00:33 Total sieving time: 0hrs 26min 10secs. Total relation processing time: 0hrs 5min 52sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 12sec. Prototype def-par.txt line would be: snfs,169,5,0,0,0,0,0,0,0,0,4700000,4700000,27,27,52,52,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.117895] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved) [ 0.154151] x86/mm: Memory block size: 128MB [ 0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798644) [ 0.152036] smpboot: Total of 16 processors activated (102389.15 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

## 3×10170+4

### c161

name 名前 Bob Backstrom June 14, 2022 02:18:46 UTC 2022 年 6 月 14 日 (火) 11 時 18 分 46 秒 (日本時間) `16566732444023728567989055861041082717005254271507591911784849892072255322898478849540839414548789967264938520459403098116316288886494939601120613807739349761667<161>` ```17494153166971060010979600628387601593<38> 946986818161721560518055284684204444992976134185062871730442032220252557322243550525945268347173624556094062463627682049819<123>``` ```Number: n N=16566732444023728567989055861041082717005254271507591911784849892072255322898478849540839414548789967264938520459403098116316288886494939601120613807739349761667 ( 161 digits) SNFS difficulty: 170 digits. Divisors found: Tue Jun 14 12:07:33 2022 p38 factor: 17494153166971060010979600628387601593 Tue Jun 14 12:07:33 2022 p123 factor: 946986818161721560518055284684204444992976134185062871730442032220252557322243550525945268347173624556094062463627682049819 Tue Jun 14 12:07:33 2022 elapsed time 00:10:43 (Msieve 1.54 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.349). Factorization parameters were as follows: # # N = 3x10^170+4 = 30(169)4 # n: 16566732444023728567989055861041082717005254271507591911784849892072255322898478849540839414548789967264938520459403098116316288886494939601120613807739349761667 m: 10000000000000000000000000000000000 deg: 5 c5: 3 c0: 4 skew: 1.06 # Murphy_E = 3.128e-10 type: snfs lss: 1 rlim: 4900000 alim: 4900000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 4900000/4900000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved special-q in [100000, 8050000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1113485 hash collisions in 11860527 relations (11485903 unique) Msieve: matrix is 671874 x 672099 (232.5 MB) Sieving start time : 2022/06/14 11:13:34 Sieving end time : 2022/06/14 11:56:20 Total sieving time: 0hrs 42min 46secs. Total relation processing time: 0hrs 6min 34sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 16sec. Prototype def-par.txt line would be: snfs,170,5,0,0,0,0,0,0,0,0,4900000,4900000,27,27,52,52,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.117895] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved) [ 0.154151] x86/mm: Memory block size: 128MB [ 0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798644) [ 0.152036] smpboot: Total of 16 processors activated (102389.15 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

## 3×10171+4

### c103

name 名前 Eric Jeancolas June 12, 2022 21:16:58 UTC 2022 年 6 月 13 日 (月) 6 時 16 分 58 秒 (日本時間) `3817304367832488736352408277465118087225022051513857863006877531856822618302274340083657524339014353153<103>` ```13494773084001523591135038957306986479<38> 282872808906881338846557976258143047066863211721818757155302088207<66>``` ```fac: factoring 3817304367832488736352408277465118087225022051513857863006877531856822618302274340083657524339014353153 fac: using pretesting plan: normal fac: no tune info: using qs/gnfs crossover of 95 digits div: primes less than 10000 fmt: 1000000 iterations rho: x^2 + 3, starting 1000 iterations on C103 rho: x^2 + 2, starting 1000 iterations on C103 rho: x^2 + 1, starting 1000 iterations on C103 pm1: starting B1 = 150K, B2 = gmp-ecm default on C103 ecm: 30/30 curves on C103, B1=2K, B2=gmp-ecm default ecm: 74/74 curves on C103, B1=11K, B2=gmp-ecm default ecm: 214/214 curves on C103, B1=50K, B2=gmp-ecm default, ETA: 0 sec pm1: starting B1 = 3750K, B2 = gmp-ecm default on C103 ecm: 430/430 curves on C103, B1=250K, B2=gmp-ecm default, ETA: 0 sec pm1: starting B1 = 15M, B2 = gmp-ecm default on C103 ecm: 37/225 curves on C103, B1=1M, B2=gmp-ecm default, ETA: 5.2 min Total factoring time = 262.8286 seconds ***factors found*** P38 = 13494773084001523591135038957306986479 P66 = 282872808906881338846557976258143047066863211721818757155302088207``` `Yafu 1.34` ```Windows 10 21H1 Intel(R) Core(TM) i7-9750H CPU @ 2.60GHz 2.59 GHz```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

## 3×10174+4

### c174

name 名前 Bob Backstrom June 13, 2022 17:36:02 UTC 2022 年 6 月 14 日 (火) 2 時 36 分 2 秒 (日本時間) `107142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857143<174>` ```12245749050684528746025024124303777717317834091528337467<56> 8749391866467158463802469301769516193854929182092140455375580485990689885932816083438971055000759555883500124804891829<118>``` ```Number: n N=107142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857143 ( 174 digits) SNFS difficulty: 174 digits. Divisors found: Tue Jun 14 03:31:13 2022 p56 factor: 12245749050684528746025024124303777717317834091528337467 Tue Jun 14 03:31:13 2022 p118 factor: 8749391866467158463802469301769516193854929182092140455375580485990689885932816083438971055000759555883500124804891829 Tue Jun 14 03:31:13 2022 elapsed time 00:17:02 (Msieve 1.54 - dependency 4) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.333). Factorization parameters were as follows: # # N = 3x10^174+4 = 30(173)4 # n: 107142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857143 m: 50000000000000000000000000000000000 deg: 5 c5: 12 c0: 5 skew: 0.84 # Murphy_E = 2.014e-10 type: snfs lss: 1 rlim: 5700000 alim: 5700000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 5700000/5700000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved special-q in [100000, 15650000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1164932 hash collisions in 12241220 relations (11839682 unique) Msieve: matrix is 828553 x 828778 (289.8 MB) Sieving start time : 2022/06/14 01:59:42 Sieving end time : 2022/06/14 03:13:55 Total sieving time: 1hrs 14min 13secs. Total relation processing time: 0hrs 10min 29sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 3min 26sec. Prototype def-par.txt line would be: snfs,174,5,0,0,0,0,0,0,0,0,5700000,5700000,27,27,52,52,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.117895] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved) [ 0.154151] x86/mm: Memory block size: 128MB [ 0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798644) [ 0.152036] smpboot: Total of 16 processors activated (102389.15 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

## 3×10175+4

### c153

name 名前 Bob Backstrom June 14, 2022 12:31:11 UTC 2022 年 6 月 14 日 (火) 21 時 31 分 11 秒 (日本時間) `383971753551107061490276401799994799396348217446053667044788432949931375231360988730337834644477015994648685470780652154371754744883159532219217399514649<153>` ```58558688965534944731904166234561272046343<41> 6584086526080450245509880976251454822275190202248217<52> 995892364252393159718874355698287819992118653202260453482679<60>``` ```Number: n N=383971753551107061490276401799994799396348217446053667044788432949931375231360988730337834644477015994648685470780652154371754744883159532219217399514649 ( 153 digits) SNFS difficulty: 175 digits. Divisors found: Tue Jun 14 22:23:15 2022 found factor: 6584086526080450245509880976251454822275190202248217 Tue Jun 14 22:25:45 2022 p41 factor: 58558688965534944731904166234561272046343 Tue Jun 14 22:25:45 2022 p52 factor: 6584086526080450245509880976251454822275190202248217 Tue Jun 14 22:25:45 2022 p60 factor: 995892364252393159718874355698287819992118653202260453482679 Tue Jun 14 22:25:45 2022 elapsed time 00:20:06 (Msieve 1.54 - dependency 5) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.348). Factorization parameters were as follows: # # N = 3x10^175+4 = 30(174)4 # n: 383971753551107061490276401799994799396348217446053667044788432949931375231360988730337834644477015994648685470780652154371754744883159532219217399514649 m: 100000000000000000000000000000000000 deg: 5 c5: 3 c0: 4 skew: 1.06 # Murphy_E = 1.976e-10 type: snfs lss: 1 rlim: 5900000 alim: 5900000 lpbr: 28 lpba: 28 mfbr: 52 mfba: 52 rlambda: 2.5 alambda: 2.5 Factor base limits: 5900000/5900000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 52/52 Sieved special-q in [100000, 66150000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 2747302 hash collisions in 28780952 relations (27847820 unique) Msieve: matrix is 829605 x 829832 (276.6 MB) Sieving start time : 2022/06/14 14:42:22 Sieving end time : 2022/06/14 22:02:06 Total sieving time: 7hrs 19min 44secs. Total relation processing time: 0hrs 9min 59sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 3min 8sec. Prototype def-par.txt line would be: snfs,175,5,0,0,0,0,0,0,0,0,5900000,5900000,28,28,52,52,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.117895] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved) [ 0.154151] x86/mm: Memory block size: 128MB [ 0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798644) [ 0.152036] smpboot: Total of 16 processors activated (102389.15 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

## 3×10176+4

### c147

name 名前 Ignacio Santos June 14, 2022 17:37:33 UTC 2022 年 6 月 15 日 (水) 2 時 37 分 33 秒 (日本時間) `709631950576922328235888872842514493144587804117428709542961446840052406804549923799504743398073336096625143325456940909322363654708819365706499597<147>` `145312947353538540150764911<27>` `4883473658065899525790740857238370169572039113774018993887843295422372217572089624238404428647025472416405511324300777027<121>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:994288435 Step 1 took 4859ms Step 2 took 2875ms ********** Factor found in step 2: 145312947353538540150764911 Found prime factor of 27 digits: 145312947353538540150764911 Composite cofactor 4883473658065899525790740857238370169572039113774018993887843295422372217572089624238404428647025472416405511324300777027 has 121 digits ``` `GMP-ECM`

### c121

name 名前 Ignacio Santos June 15, 2022 15:33:29 UTC 2022 年 6 月 16 日 (木) 0 時 33 分 29 秒 (日本時間) `4883473658065899525790740857238370169572039113774018993887843295422372217572089624238404428647025472416405511324300777027<121>` ```4909610239580987817203049965029563338653<40> 994676444719709781701420000842972853941878943113855908541317506665833193576990559<81>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2759523619 Step 1 took 4890ms Step 2 took 2938ms ********** Factor found in step 2: 4909610239580987817203049965029563338653 Found prime factor of 40 digits: 4909610239580987817203049965029563338653 Prime cofactor 994676444719709781701420000842972853941878943113855908541317506665833193576990559 has 81 digits``` `GMP-ECM`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

## 3×10177+4

### c171

name 名前 ebina June 14, 2022 20:43:12 UTC 2022 年 6 月 15 日 (水) 5 時 43 分 12 秒 (日本時間) `239461384297527257889374587527765547509298285552272983423844415233703136209786052427994759946347878643524692779025992415779036528716688127728063820609579285504699988410069<171>` ```10493054467058132436424075697382463491258651637215200581067861475407<68> 22820941704752576783378048264704889862131172897167999026241054992038691978535059498900708522111101485467<104>``` ```Number: 30004_177 N = 239461384297527257889374587527765547509298285552272983423844415233703136209786052427994759946347878643524692779025992415779036528716688127728063820609579285504699988410069 (171 digits) SNFS difficulty: 177 digits. Divisors found: r1=10493054467058132436424075697382463491258651637215200581067861475407 (pp68) r2=22820941704752576783378048264704889862131172897167999026241054992038691978535059498900708522111101485467 (pp104) Version: Msieve v. 1.53 (SVN unknown) Total time: 4.76 hours. Factorization parameters were as follows: n: 239461384297527257889374587527765547509298285552272983423844415233703136209786052427994759946347878643524692779025992415779036528716688127728063820609579285504699988410069 m: 100000000000000000000000000000000000 deg: 5 c5: 75 c0: 1 skew: 0.42 # Murphy_E = 1.591e-10 type: snfs lss: 1 rlim: 6200000 alim: 6200000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 6200000/6200000 Large primes per side: 3 Large prime bits: 28/28 Sieved rational special-q in [0, 0) Total raw relations: 17705235 Relations: 2053942 relations Pruned matrix : 1182861 x 1183096 Total sieving time: 4.33 hours. Total relation processing time: 0.12 hours. Matrix solve time: 0.27 hours. time per square root: 0.04 hours. Prototype def-par.txt line would be: snfs,177,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,53,53,2.5,2.5,100000 total time: 4.76 hours. Intel64 Family 6 Model 158 Stepping 12, GenuineIntel processors: 16, speed: 3.60GHz 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 JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

## 3×10179+4

### c131

name 名前 Erik Branger June 17, 2022 15:29:16 UTC 2022 年 6 月 18 日 (土) 0 時 29 分 16 秒 (日本時間) `62655019960433722247187459907189492153308082231384529662266520173278338849125645966110390940169801505537431699822286244656796491569<131>` ```8222878433861116338540055747652606205715341481322540654150007547<64> 7619597013914940211960480577156519977829192173724674276924378527427<67>``` ```Number: 30004_179 N = 62655019960433722247187459907189492153308082231384529662266520173278338849125645966110390940169801505537431699822286244656796491569 (131 digits) SNFS difficulty: 181 digits. Divisors found: r1=8222878433861116338540055747652606205715341481322540654150007547 (pp64) r2=7619597013914940211960480577156519977829192173724674276924378527427 (pp67) Version: Msieve v. 1.52 (SVN unknown) Total time: 8.59 hours. Factorization parameters were as follows: n: 62655019960433722247187459907189492153308082231384529662266520173278338849125645966110390940169801505537431699822286244656796491569 m: 1000000000000000000000000000000000000000000000000000000000000 deg: 3 c3: 3 c0: 40 skew: 1.00 type: snfs lss: 1 rlim: 10000000 alim: 10000000 lpbr: 29 lpba: 26 mfbr: 58 mfba: 52 rlambda: 2.8 alambda: 2.8 side: 1 maxa: 10000000 maxb: 10000000 Number of cores used: 8 Number of threads per core: 1 Factor base limits: 10000000/10000000 Large primes per side: 3 Large prime bits: 29/26 Total raw relations: 19741398 Relations: 4583344 relations Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G rational relations. Total batch smoothness checking time: 2.78 hours. Total relation processing time: 0.30 hours. Pruned matrix : 3493990 x 3494238 Matrix solve time: 5.35 hours. time per square root: 0.16 hours. Prototype def-par.txt line would be: snfs,181,3,0,0,0,0,0,0,0,0,10000000,10000000,29,26,58,52,2.8,2.8,100000 total time: 8.59 hours. Intel64 Family 6 Model 165 Stepping 5, GenuineIntel Windows-10-10.0.22000-SP0 processors: 16, speed: 3.79GHz``` `GGNFS, NFS_factory, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 15, 2022 19:43:23 UTC 2022 年 6 月 16 日 (木) 4 時 43 分 23 秒 (日本時間)

## 3×10180+4

### c161

name 名前 Erik Branger June 14, 2022 16:29:47 UTC 2022 年 6 月 15 日 (水) 1 時 29 分 47 秒 (日本時間) `30769969146863721061210496756748750467071455208196852655039659295741102950559318202499793134570294628823389737590881563709338195732742651473888618291353837664089<161>` ```715667937812449024854989187740740665062986706842993<51> 42994757094913241286609583102052497622065817162188619594566958800619334622802229395665207726715985933829639273<110>``` ```Number: 30004_180 N = 30769969146863721061210496756748750467071455208196852655039659295741102950559318202499793134570294628823389737590881563709338195732742651473888618291353837664089 (161 digits) SNFS difficulty: 181 digits. Divisors found: r1=715667937812449024854989187740740665062986706842993 (pp51) r2=42994757094913241286609583102052497622065817162188619594566958800619334622802229395665207726715985933829639273 (pp110) Version: Msieve v. 1.52 (SVN unknown) Total time: 8.06 hours. Factorization parameters were as follows: n: 30769969146863721061210496756748750467071455208196852655039659295741102950559318202499793134570294628823389737590881563709338195732742651473888618291353837664089 m: 1000000000000000000000000000000000000000000000000000000000000 deg: 3 c3: 3 c0: 4 skew: 1.00 type: snfs lss: 1 rlim: 10000000 alim: 10000000 lpbr: 29 lpba: 26 mfbr: 58 mfba: 52 rlambda: 2.8 alambda: 2.8 side: 1 maxa: 10000000 maxb: 10000000 Number of cores used: 8 Number of threads per core: 1 Factor base limits: 10000000/10000000 Large primes per side: 3 Large prime bits: 29/26 Total raw relations: 17386764 Relations: 4204468 relations Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G rational relations. Total batch smoothness checking time: 2.23 hours. Total relation processing time: 0.39 hours. Pruned matrix : 3220899 x 3221147 Matrix solve time: 5.16 hours. time per square root: 0.29 hours. Prototype def-par.txt line would be: snfs,181,3,0,0,0,0,0,0,0,0,10000000,10000000,29,26,58,52,2.8,2.8,100000 total time: 8.06 hours. Intel64 Family 6 Model 165 Stepping 5, GenuineIntel Windows-10-10.0.22000-SP0 processors: 16, speed: 3.79GHz``` `GGNFS, NFS_factory, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

## 3×10184+4

### c155

name 名前 Eric Jeancolas July 18, 2022 03:53:54 UTC 2022 年 7 月 18 日 (月) 12 時 53 分 54 秒 (日本時間) `14612839094830079200492298476501767838161384396364943440102621800462549956731972974932364985096644046337169254612160704732982970456116031830712019753205793<155>` ```2842407454840612104160373982829208596701625594010129953<55> 5141007869911280410490062994836121185245674240847901127966629481101172340900856997343078928974113281<100>``` ```14612839094830079200492298476501767838161384396364943440102621800462549956731972974932364985096644046337169254612160704732982970456116031830712019753205793=2842407454840612104160373982829208596701625594010129953*5141007869911280410490062994836121185245674240847901127966629481101172340900856997343078928974113281 cado polynomial n: 14612839094830079200492298476501767838161384396364943440102621800462549956731972974932364985096644046337169254612160704732982970456116031830712019753205793 skew: 0.84 type: snfs c0: 5 c5: 12 Y0: 5000000000000000000000000000000000000 Y1: -1 # f(x) = 12*x^5+5 # g(x) = -x+5000000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 8300000 tasks.lim1 = 8300000 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: 2842407454840612104160373982829208596701625594010129953 5141007869911280410490062994836121185245674240847901127966629481101172340900856997343078928974113281 Info:Square Root: Total cpu/real time for sqrt: 901.54/277.792 Info:Quadratic Characters: Total cpu/real time for characters: 50.4/20.248 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 217.14/184.14 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 168.4s Info:Square Root: Total cpu/real time for sqrt: 901.54/277.792 Info:Linear Algebra: Total cpu/real time for bwc: 30819.9/7951.06 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 19646.9, WCT time 5047.64, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (43520 iterations) Info:Linear Algebra: Lingen CPU time 272.15, WCT time 69.23 Info:Linear Algebra: Mksol: CPU time 10658.92, WCT time 2743.53, iteration CPU time 0.12, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (21760 iterations) Info:Generate Free Relations: Total cpu/real time for freerel: 118.1/32.161 Info:Filtering - Singleton removal: Total cpu/real time for purge: 93.33/106.011 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 22408194 Info:Lattice Sieving: Average J: 1893.95 for 941863 special-q, max bucket fill -bkmult 1.0,1s:1.168650 Info:Lattice Sieving: Total time: 169371s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 90.63/103.672 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 103.6s Info:Filtering - Merging: Merged matrix has 1387254 rows and total weight 236826406 (170.7 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 346.97/97.0509 Info:Filtering - Merging: Total cpu/real time for replay: 52.93/44.8572 Info:Generate Factor Base: Total cpu/real time for makefb: 3.5/1.92072 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 348502/93838.7 Info:root: Cleaning up computation data in /tmp/cado.u7g94r8l 2842407454840612104160373982829208596701625594010129953 5141007869911280410490062994836121185245674240847901127966629481101172340900856997343078928974113281``` `cado-nfs-3.0.0` ```Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 18, 2022 08:25:38 UTC 2022 年 6 月 18 日 (土) 17 時 25 分 38 秒 (日本時間)

## 3×10185+4

### c185

name 名前 Bob Backstrom June 20, 2022 01:12:16 UTC 2022 年 6 月 20 日 (月) 10 時 12 分 16 秒 (日本時間) `75000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<185>` ```3895423728133798728246425933604025299540775819595302999<55> 24461427075286349580677034183281280555682464814570789003<56> 787090676439489142371346903263153066177591721065399508069568038820768653333<75>``` ```Number: n N=75000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001 ( 185 digits) SNFS difficulty: 185 digits. Divisors found: Mon Jun 20 11:06:38 2022 found factor: 787090676439489142371346903263153066177591721065399508069568038820768653333 Mon Jun 20 11:07:32 2022 found factor: 787090676439489142371346903263153066177591721065399508069568038820768653333 Mon Jun 20 11:08:26 2022 p55 factor: 3895423728133798728246425933604025299540775819595302999 Mon Jun 20 11:08:26 2022 p56 factor: 24461427075286349580677034183281280555682464814570789003 Mon Jun 20 11:08:26 2022 p75 factor: 787090676439489142371346903263153066177591721065399508069568038820768653333 Mon Jun 20 11:08:26 2022 elapsed time 00:23:04 (Msieve 1.54 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.342). Factorization parameters were as follows: # # N = 3x10^185+4 = 30(184)4 # n: 75000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001 m: 10000000000000000000000000000000000000 deg: 5 c5: 3 c0: 4 skew: 1.06 # Murphy_E = 7.778e-11 type: snfs lss: 1 rlim: 8600000 alim: 8600000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 Factor base limits: 8600000/8600000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 54/54 Sieved special-q in [100000, 9900000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 2847846 hash collisions in 28832615 relations (27795591 unique) Msieve: matrix is 931443 x 931669 (321.6 MB) Sieving start time : 2022/06/20 08:24:22 Sieving end time : 2022/06/20 10:44:54 Total sieving time: 2hrs 20min 32secs. Total relation processing time: 0hrs 13min 15sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 2min 43sec. Prototype def-par.txt line would be: snfs,185,5,0,0,0,0,0,0,0,0,8600000,8600000,28,28,54,54,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.118494] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16197192K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530044K reserved, 0K cma-reserved) [ 0.153548] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.34 BogoMIPS (lpj=12798684) [ 0.152038] smpboot: Total of 16 processors activated (102389.47 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 18, 2022 20:16:18 UTC 2022 年 6 月 19 日 (日) 5 時 16 分 18 秒 (日本時間)

## 3×10186+4

### c125

name 名前 Eric Jeancolas June 14, 2022 10:24:11 UTC 2022 年 6 月 14 日 (火) 19 時 24 分 11 秒 (日本時間) `85007335048265091919586227096768124163021861212260792951296980270908105105769984313893107303440753073028552417357024653694557<125>` ```3605578782277241777681463643894275470807195943104068833553903<61> 23576612849539635953369169868270843575756825753807503591110216819<65>``` ```85007335048265091919586227096768124163021861212260792951296980270908105105769984313893107303440753073028552417357024653694557=3605578782277241777681463643894275470807195943104068833553903*23576612849539635953369169868270843575756825753807503591110216819 cado polynomial n: 85007335048265091919586227096768124163021861212260792951296980270908105105769984313893107303440753073028552417357024653694557 skew: 68348.439 c0: 26275313843636167465414083750 c1: -3446179237430621110801145 c2: -1748014035470697962 c3: -795213379803341 c4: -8348566434 c5: 70560 Y0: -1487737470129777462596196 Y1: 102619866449782627 # MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.549e-07 # f(x) = 70560*x^5-8348566434*x^4-795213379803341*x^3-1748014035470697962*x^2-3446179237430621110801145*x+26275313843636167465414083750 # g(x) = 102619866449782627*x-1487737470129777462596196 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: 23576612849539635953369169868270843575756825753807503591110216819 3605578782277241777681463643894275470807195943104068833553903 Info:Square Root: Total cpu/real time for sqrt: 520.37/370.251 Info:Quadratic Characters: Total cpu/real time for characters: 29.66/24.4188 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 167.91/205.971 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 179.19999999999996s Info:Square Root: Total cpu/real time for sqrt: 520.37/370.251 Info:Linear Algebra: Total cpu/real time for bwc: 10122.3/7699.13 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 5938.96, WCT time 4424.97, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.02, comm-wait 0.0 (24576 iterations) Info:Linear Algebra: Lingen CPU time 837.82, WCT time 712.24 Info:Linear Algebra: Mksol: CPU time 3222.23, WCT time 2462.7, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.02, comm-wait 0.0 (12288 iterations) Info:Filtering - Singleton removal: Total cpu/real time for purge: 95.74/151.454 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 11895940 Info:Lattice Sieving: Average J: 3786.98 for 209032 special-q, max bucket fill -bkmult 1.0,1s:1.314560 Info:Lattice Sieving: Total time: 119981s Info:Generate Factor Base: Total cpu/real time for makefb: 8.58/6.44663 Info:Generate Free Relations: Total cpu/real time for freerel: 127.48/83.2372 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 52.84/78.5427 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 77.80000000000001s Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 2923.34 Info:Polynomial Selection (root optimized): Rootsieve time: 2920.82 Info:Filtering - Merging: Merged matrix has 781558 rows and total weight 133553053 (170.9 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 168.32/120.401 Info:Filtering - Merging: Total cpu/real time for replay: 32.64/35.4778 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): 20040/37.520/44.508/49.460/0.869 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15896/35.740/39.891/45.280/0.976 Info:Polynomial Selection (size optimized): Total time: 1977.59 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 131017/71276.7 Info:root: Cleaning up computation data in /tmp/cado.aci1_7ne 23576612849539635953369169868270843575756825753807503591110216819 3605578782277241777681463643894275470807195943104068833553903``` `cado-nfs-3.0.0` ```Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 13, 2022 15:39:47 UTC 2022 年 6 月 14 日 (火) 0 時 39 分 47 秒 (日本時間)
4511e64480Ignacio SantosJune 13, 2022 17:54:21 UTC 2022 年 6 月 14 日 (火) 2 時 54 分 21 秒 (日本時間)

## 3×10189+4

### c159

name 名前 Bob Backstrom July 12, 2022 17:23:42 UTC 2022 年 7 月 13 日 (水) 2 時 23 分 42 秒 (日本時間) `234772467792932733469666531747090610454094689700211155498754617740600295548171761602080272635695495916190732451860172933166865335667432622709060743215597791619<159>` ```13282532772657512393441656508018738995768489<44> 17675278639343455685528620686191715768828568325726890697818857097919739179147037658807117721005649717653395404420171<116>``` ```GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 234772467792932733469666531747090610454094689700211155498754617740600295548171761602080272635695495916190732451860172933166865335667432622709060743215597791619 (159 digits) Using B1=16000000, B2=58558467250, polynomial Dickson(12), sigma=1:3457523470 Step 1 took 36784ms Step 2 took 15976ms ********** Factor found in step 2: 13282532772657512393441656508018738995768489 Found prime factor of 44 digits: 13282532772657512393441656508018738995768489 Prime cofactor 17675278639343455685528620686191715768828568325726890697818857097919739179147037658807117721005649717653395404420171 has 116 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 21, 2022 18:51:44 UTC 2022 年 6 月 22 日 (水) 3 時 51 分 44 秒 (日本時間)

## 3×10191+4

### c189

name 名前 Bob Backstrom June 22, 2022 07:56:49 UTC 2022 年 6 月 22 日 (水) 16 時 56 分 49 秒 (日本時間) `321888412017167381974248927038626609442060085836909871244635193133047210300429184549356223175965665236051502145922746781115879828326180257510729613733905579399141630901287553648068669527897<189>` ```15001459246703224027055316381010652230832993537342478121451<59> 21457140050419212766956658895158899693575256524941730088699192517160358563036301834521294287078928829621774607026938236438377004747<131>``` ```Number: n N=321888412017167381974248927038626609442060085836909871244635193133047210300429184549356223175965665236051502145922746781115879828326180257510729613733905579399141630901287553648068669527897 ( 189 digits) SNFS difficulty: 191 digits. Divisors found: Wed Jun 22 17:52:25 2022 p59 factor: 15001459246703224027055316381010652230832993537342478121451 Wed Jun 22 17:52:25 2022 p131 factor: 21457140050419212766956658895158899693575256524941730088699192517160358563036301834521294287078928829621774607026938236438377004747 Wed Jun 22 17:52:25 2022 elapsed time 00:41:44 (Msieve 1.54 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.344). Factorization parameters were as follows: # # N = 3x10^191+4 = 30(190)4 # n: 321888412017167381974248927038626609442060085836909871244635193133047210300429184549356223175965665236051502145922746781115879828326180257510729613733905579399141630901287553648068669527897 m: 100000000000000000000000000000000000000 deg: 5 c5: 15 c0: 2 skew: 0.67 # Murphy_E = 3.603e-11 type: snfs lss: 1 rlim: 10700000 alim: 10700000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 Factor base limits: 10700000/10700000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 54/54 Sieved special-q in [100000, 25350000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3369384 hash collisions in 28690140 relations (26972466 unique) Msieve: matrix is 1299863 x 1300088 (449.0 MB) Sieving start time : 2022/06/22 10:37:51 Sieving end time : 2022/06/22 17:09:51 Total sieving time: 6hrs 32min 0secs. Total relation processing time: 0hrs 30min 17sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 4min 13sec. Prototype def-par.txt line would be: snfs,191,5,0,0,0,0,0,0,0,0,10700000,10700000,28,28,54,54,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.118494] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16197192K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530044K reserved, 0K cma-reserved) [ 0.153548] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.34 BogoMIPS (lpj=12798684) [ 0.152038] smpboot: Total of 16 processors activated (102389.47 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

## 3×10193+4

### c141

composite cofactor 合成数の残り `700107389001065190443362191670035148168783036885067371917584310382260406449490121395159295236377552438395934161004980066070970914868261968341<141>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 24, 2022 18:30:35 UTC 2022 年 6 月 25 日 (土) 3 時 30 分 35 秒 (日本時間)

## 3×10194+4

### c157

name 名前 Eric Jeancolas June 20, 2022 03:50:05 UTC 2022 年 6 月 20 日 (月) 12 時 50 分 5 秒 (日本時間) `4439082936478631435577108967133452936888170220577224639324437952761168121755820343412669081689612765537379411985368197930012459727711544808609987394947069257<157>` ```22301426907294053661450459579545419<35> 199049278547587254005617359847655199782976373421646995021185030637136119348466491270309164836045066969729212246045899507003<123>``` ```GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 4439082936478631435577108967133452936888170220577224639324437952761168121755820343412669081689612765537379411985368197930012459727711544808609987394947069257 (157 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:2444179215 Step 1 took 2301ms Step 2 took 1350ms ********** Factor found in step 2: 22301426907294053661450459579545419 Found prime factor of 35 digits: 22301426907294053661450459579545419 Prime cofactor 199049278547587254005617359847655199782976373421646995021185030637136119348466491270309164836045066969729212246045899507003 has 123 digits``` `GMP-ECM 7.0.4` ```Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

## 3×10196+4

### c181

name 名前 Bob Backstrom July 23, 2022 16:49:50 UTC 2022 年 7 月 24 日 (日) 1 時 49 分 50 秒 (日本時間) `5272197014066783860896022546238613579519903497334125884963246515526622380405518387346164514653642683576700364806264069249434575873684445362831641713069377393753758630705133302974371<181>` ```1914489958667874581116486963379680552457761<43> 913048276161303638623172513639059846851560044048813<51> 3016093475091402582507882347738032715910385440122635745176583402502416172663249605609647<88>``` ```Number: n N=5272197014066783860896022546238613579519903497334125884963246515526622380405518387346164514653642683576700364806264069249434575873684445362831641713069377393753758630705133302974371 ( 181 digits) SNFS difficulty: 196 digits. Divisors found: Sun Jul 24 02:41:35 2022 found factor: 1914489958667874581116486963379680552457761 Sun Jul 24 02:43:34 2022 p43 factor: 1914489958667874581116486963379680552457761 Sun Jul 24 02:43:34 2022 p51 factor: 913048276161303638623172513639059846851560044048813 Sun Jul 24 02:43:34 2022 p88 factor: 3016093475091402582507882347738032715910385440122635745176583402502416172663249605609647 Sun Jul 24 02:43:34 2022 elapsed time 01:06:42 (Msieve 1.54 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.329). Factorization parameters were as follows: # # N = 3x10^196+4 = 30(195)4 # n: 5272197014066783860896022546238613579519903497334125884963246515526622380405518387346164514653642683576700364806264069249434575873684445362831641713069377393753758630705133302974371 m: 1000000000000000000000000000000000000000 deg: 5 c5: 15 c0: 2 skew: 0.67 # Murphy_E = 2.235e-11 type: snfs lss: 1 rlim: 13000000 alim: 13000000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 13000000/13000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved special-q in [100000, 26500000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3450099 hash collisions in 28594983 relations (26761305 unique) Msieve: matrix is 1664450 x 1664676 (578.4 MB) Sieving start time : 2022/07/23 18:40:44 Sieving end time : 2022/07/24 01:36:04 Total sieving time: 6hrs 55min 20secs. Total relation processing time: 0hrs 54min 37sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 3min 57sec. Prototype def-par.txt line would be: snfs,196,5,0,0,0,0,0,0,0,0,13000000,13000000,28,28,55,55,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.118312] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved) [ 0.153549] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.21 BogoMIPS (lpj=12798428) [ 0.152036] smpboot: Total of 16 processors activated (102387.42 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

## 3×10197+4

### c197

name 名前 Bob Backstrom July 23, 2022 23:30:11 UTC 2022 年 7 月 24 日 (日) 8 時 30 分 11 秒 (日本時間) `75000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<197>` ```33577094877914565112333782935220133489<38> 541979244893477323201905297011109491909<39> 34847180405655737683244614516904895242924589311458328520427<59> 118268161659602254733306707858699459435968398030694344530203863<63>``` ```GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 75000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001 (197 digits) Using B1=20510000, B2=70272954580, polynomial Dickson(12), sigma=1:3265304518 Step 1 took 66254ms Step 2 took 23855ms ********** Factor found in step 2: 33577094877914565112333782935220133489 Found prime factor of 38 digits: 33577094877914565112333782935220133489 Composite cofactor 2233665547084940782085581751906738537009424871819666281078367235859489996795148342117117580155580634601561273630592357515761200394210649658416194909219130827409 has 160 digits GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 2233665547084940782085581751906738537009424871819666281078367235859489996795148342117117580155580634601561273630592357515761200394210649658416194909219130827409 (160 digits) Using B1=21350000, B2=96186180106, polynomial Dickson(12), sigma=1:1457984721 Step 1 took 49532ms Step 2 took 18796ms ********** Factor found in step 2: 541979244893477323201905297011109491909 Found prime factor of 39 digits: 541979244893477323201905297011109491909 Composite cofactor 4121311965597416861564571137398719294350098698477691275755501737579480416358846503027491049594835213840713309941469809501 has 121 digits CADO STA:Sun 24 Jul 2022 07:31:29 AEST (4,121,311,965,597,416,861,564,571,137,398,719,294,350,098,698,477,691,275,755,501,737,579,480,416,358,846,503,027,491,049,594,835,213,840,713,309,941,469,809,501 - C121) /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 4121311965597416861564571137398719294350098698477691275755501737579480416358846503027491049594835213840713309941469809501 2>&1 | tee -a log173 Debug:root: Looking for parameter file for c121 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c120 Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c120 Info:root: No database exists yet Info:root: Created temporary directory /tmp/cado.j015yrnh Info:Database: Opened connection to database /tmp/cado.j015yrnh/c120.db Info:root: tasks.polyselect.threads = 2 Info:root: tasks.sieve.las.threads = 2 Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0 Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 4121311965597416861564571137398719294350098698477691275755501737579480416358846503027491049594835213840713309941469809501 Debug:root: Root parameter dictionary: N = 4121311965597416861564571137398719294350098698477691275755501737579480416358846503027491049594835213840713309941469809501 lim0 = 5667620 lim1 = 18220697 lpb0 = 26 lpb1 = 27 name = c120 === Debug:Polynomial Selection (root optimized): New best polynomial is: n: 4121311965597416861564571137398719294350098698477691275755501737579480416358846503027491049594835213840713309941469809501 skew: 16392.028 c0: 186262559382975273539452350 c1: 12812882832578357115257 c2: -4559488907720601153 c3: 4484252681236 c4: 1896178950 c5: -174960 Y0: -170581632590259444147664 Y1: 339094066997837791 # MurphyE (Bf=1.82e+07,Bg=5.67e+06,area=2.45e+15) = 1.53e-09 # f(x) = -174960*x^5+1896178950*x^4+4484252681236*x^3-4559488907720601153*x^2+12812882832578357115257*x+186262559382975273539452350 # g(x) = 339094066997837791*x-170581632590259444147664 === Debug:Command: Process with PID 127495 finished successfully Info:Square Root: finished Info:Square Root: Factors: 34847180405655737683244614516904895242924589311458328520427 118268161659602254733306707858699459435968398030694344530203863 Debug:Square Root: Exit SqrtTask.run(sqrt) Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 10356.5 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 10492/35.950/43.163/48.790/1.047 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 10492/34.700/38.368/43.620/1.148 Info:Polynomial Selection (size optimized): Total time: 1134.53 Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 417.9 Info:Polynomial Selection (root optimized): Rootsieve time: 416.94 Info:Generate Factor Base: Total cpu/real time for makefb: 23.83/2.15506 Info:Generate Free Relations: Total cpu/real time for freerel: 151.45/10.1254 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 10519950 Info:Lattice Sieving: Average J: 7664.7 for 25603 special-q, max bucket fill: 0.647674 Info:Lattice Sieving: Total CPU time: 72524.7s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 26.56/34.863 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 34.300000000000004s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 225.62/117.789 Info:Filtering - Singleton removal: Total cpu/real time for purge: 174.28/94.2384 Info:Filtering - Merging: Total cpu/real time for merge: 401.9/329.59 Info:Filtering - Merging: Total cpu/real time for replay: 31.79/24.2667 Info:Linear Algebra: Total cpu/real time for bwc: 18627.6/0.000324726 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: WCT time 771.65 Info:Linear Algebra: Lingen CPU time 203.92, WCT time 20.24 Info:Linear Algebra: Mksol: WCT time 442.72 Info:Quadratic Characters: Total cpu/real time for characters: 35.13/8.27848 Info:Square Root: Total cpu/real time for sqrt: 865.21/123.15 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 94640.4/6788.09 Info:root: Cleaning up computation data in /tmp/cado.j015yrnh 34847180405655737683244614516904895242924589311458328520427 118268161659602254733306707858699459435968398030694344530203863 END:Sun 24 Jul 2022 09:24:38 AEST (4,121,311,965,597,416,861,564,571,137,398,719,294,350,098,698,477,691,275,755,501,737,579,480,416,358,846,503,027,491,049,594,835,213,840,713,309,941,469,809,501 - C121)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

## 3×10198+4

### c184

name 名前 Bob Backstrom July 27, 2022 17:27:44 UTC 2022 年 7 月 28 日 (木) 2 時 27 分 44 秒 (日本時間) `8328043248434536050890672898913156248092921761774251796709079069882453074805170552761852021325426829679539779129931537511154549332010902992383989922878443459732516167762182058744060167<184>` ```921048570213481331585191896405314667029939722750266335274634914075193393<72> 9041915397039545820965795081890095192400061300665744859478619153660214334064030335902706110907318778324374324919<112>``` ```Number: n N=8328043248434536050890672898913156248092921761774251796709079069882453074805170552761852021325426829679539779129931537511154549332010902992383989922878443459732516167762182058744060167 ( 184 digits) SNFS difficulty: 197 digits. Divisors found: Thu Jul 28 01:41:09 2022 p72 factor: 921048570213481331585191896405314667029939722750266335274634914075193393 Thu Jul 28 01:41:09 2022 p112 factor: 9041915397039545820965795081890095192400061300665744859478619153660214334064030335902706110907318778324374324919 Thu Jul 28 01:41:09 2022 elapsed time 01:05:47 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.353). Factorization parameters were as follows: # # N = 3x10^198+4 = 30(197)4 # n: 8328043248434536050890672898913156248092921761774251796709079069882453074805170552761852021325426829679539779129931537511154549332010902992383989922878443459732516167762182058744060167 m: 1000000000000000000000000000000000000000 deg: 5 c5: 750 c0: 1 skew: 0.27 # Murphy_E = 2.03e-11 type: snfs lss: 1 rlim: 13900000 alim: 13900000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 13900000/13900000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved special-q in [100000, 19750000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3301718 hash collisions in 27904288 relations (26185081 unique) Msieve: matrix is 1701134 x 1701361 (593.2 MB) Sieving start time : 2022/07/27 18:58:38 Sieving end time : 2022/07/28 00:34:53 Total sieving time: 5hrs 36min 15secs. Total relation processing time: 0hrs 55min 32sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 2min 18sec. Prototype def-par.txt line would be: snfs,197,5,0,0,0,0,0,0,0,0,13900000,13900000,28,28,55,55,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.118312] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved) [ 0.153549] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.21 BogoMIPS (lpj=12798428) [ 0.152036] smpboot: Total of 16 processors activated (102387.42 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

## 3×10205+4

### c189

composite cofactor 合成数の残り `339262355585977887569409175784266011703162144940413404315731700091490198454940386628361425245396372150590347515692123840251666076733196175692914909668151141505277881714143589733167797784499<189>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 9, 2022 12:01:11 UTC 2022 年 9 月 9 日 (金) 21 時 1 分 11 秒 (日本時間)

## 3×10207+4

### c198

composite cofactor 合成数の残り `816538215533921650133761969880023873443535675273734665517101343944930433050705105952926460825272104256444204244788720012733379999617359305024597195791984024087955745919379935424390952609812748876153<198>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 9, 2022 12:01:15 UTC 2022 年 9 月 9 日 (金) 21 時 1 分 15 秒 (日本時間)

## 3×10208+4

### c170

composite cofactor 合成数の残り `16498359205763820013517702258224194534108485328020378693335245724278130333595493082010336806119851584762610081396568867745359413141590988392070204458330331083645858905043<170>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 9, 2022 12:01:20 UTC 2022 年 9 月 9 日 (金) 21 時 1 分 20 秒 (日本時間)

## 3×10209+4

### c200

composite cofactor 合成数の残り `16823484198763078267905183369742983273491523360413069241690931456448669945085650970182216092742524351946832736605881609545056695645332791923404316620584522721271632420237524631709037740290113614078459<200>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 9, 2022 12:01:24 UTC 2022 年 9 月 9 日 (金) 21 時 1 分 24 秒 (日本時間)

## 3×10210+4

### c210

composite cofactor 合成数の残り `107142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857143<210>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 9, 2022 12:01:28 UTC 2022 年 9 月 9 日 (金) 21 時 1 分 28 秒 (日本時間)

## 3×10212+4

### c150

composite cofactor 合成数の残り `127444778726335370922623219005998213608124996703420579543756859109933836336670749573607905569892940430918826376438213313877642397121815875710873349407<150>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 9, 2022 12:01:32 UTC 2022 年 9 月 9 日 (金) 21 時 1 分 32 秒 (日本時間)

## 3×10213+4

### c170

composite cofactor 合成数の残り `72905674934167451951421674306353307422400132126560292721133894633495226165648005962177326183845157241633627561707782594154428146419075308975075437673933161334079622544843<170>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 9, 2022 12:01:37 UTC 2022 年 9 月 9 日 (金) 21 時 1 分 37 秒 (日本時間)

## 3×10214+4

### c206

composite cofactor 合成数の残り `21511740056515815570398802793076297888392394422767605766650436010990158691561432835739728837518101519758256457521049431250961234177975362122250295170472953474227907151119351490677969191121086082666846325071<206>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 9, 2022 12:01:41 UTC 2022 年 9 月 9 日 (金) 21 時 1 分 41 秒 (日本時間)

## 3×10215+4

### c204

composite cofactor 合成数の残り `674006457944653881323417063958178902421825714851146622449479629341549766845134279335550913008878778582608408917479686534933921163412888294417545513874413864663776212001297648385431829265255742436731326689<204>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 9, 2022 12:01:45 UTC 2022 年 9 月 9 日 (金) 21 時 1 分 45 秒 (日本時間)

## 3×10217+4

### c217

composite cofactor 合成数の残り `7500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<217>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 9, 2022 12:01:49 UTC 2022 年 9 月 9 日 (金) 21 時 1 分 49 秒 (日本時間)

## 3×10218+4

### c195

composite cofactor 合成数の残り `200062272050104875582449033973957035477360315601709022672621302686250151664375601865697690772290785207875885046791735023183040891490620421703639608524359804493969851947772959489614095232587499411<195>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 9, 2022 12:01:54 UTC 2022 年 9 月 9 日 (金) 21 時 1 分 54 秒 (日本時間)

## 3×10222+4

### c190

composite cofactor 合成数の残り `1702664539444640652875850183921329799124755346764197206229577502076028000049415258262992153906084184205037726950243586365520133158905645681824176383872712152034075508220793316969216065507987<190>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 9, 2022 12:02:35 UTC 2022 年 9 月 9 日 (金) 21 時 2 分 35 秒 (日本時間)

## 3×10224+4

### c175

composite cofactor 合成数の残り `1033284917868646046311445216885638640356782149948953463945569786249991724756345268386485661154669477005914003075194306668116383446652986416647498069493756023531695034967895529<175>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 9, 2022 12:02:39 UTC 2022 年 9 月 9 日 (金) 21 時 2 分 39 秒 (日本時間)

## 3×10226+4

### c212

name 名前 Dmitry Domanov September 7, 2022 10:05:05 UTC 2022 年 9 月 7 日 (水) 19 時 5 分 5 秒 (日本時間) `36201244644447328828257824059290355312273106454971692278926193953624643018500742725960810593888582093458981557073255029425809401955017266118612186050082079155408857257722900062460596791070687289411402165770359853<212>` ```19406655252293495581800866796705716131<38> 3321019369513434591269638760198939869237<40> 561696092735433499052479402713343674733501713399223545842250987969600347544743396266665534647313255075874809149782580694853695233287699<135>``` ```Resuming ECM residue saved by @68bb4d63d6e0 with GMP-ECM 7.0.5-dev on Tue Sep 6 11:46:34 2022 Input number is 36201244644447328828257824059290355312273106454971692278926193953624643018500742725960810593888582093458981557073255029425809401955017266118612186050082079155408857257722900062460596791070687289411402165770359853 (212 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:948974330 Step 1 took 0ms Step 2 took 11053ms ********** Factor found in step 2: 19406655252293495581800866796705716131 Found prime factor of 38 digits: 19406655252293495581800866796705716131 Composite cofactor 1865403603754389046756097651732045192198337690283916951205317696688880537463206783003618551454534256792090745531415128104410058881513515119184016835932309610169745048660615663 has 175 digits --- Resuming ECM residue saved by @68bb4d63d6e0 with GMP-ECM 7.0.5-dev on Tue Sep 6 11:46:34 2022 Input number is 1865403603754389046756097651732045192198337690283916951205317696688880537463206783003618551454534256792090745531415128104410058881513515119184016835932309610169745048660615663 (175 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:948975427 Step 1 took 0ms Step 2 took 9585ms ********** Factor found in step 2: 3321019369513434591269638760198939869237 Found prime factor of 40 digits: 3321019369513434591269638760198939869237 Prime cofactor 561696092735433499052479402713343674733501713399223545842250987969600347544743396266665534647313255075874809149782580694853695233287699 has 135 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

## 3×10227+4

### c213

composite cofactor 合成数の残り `167513683868190920371526245694868177543464745222084884936536809089983767669362989786161457458746747880165561261381753830189153855583939704817784654149048270417871705176516637987046183293733508074740293198388659919<213>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 9, 2022 12:02:44 UTC 2022 年 9 月 9 日 (金) 21 時 2 分 44 秒 (日本時間)

## 3×10228+4

### c203

composite cofactor 合成数の残り `23551686112799718428815173998324623453064212134653645257424752775382713741267047108296813615553331851471977331150257418625727587339531732037805314713739870871198749755407922079475809000493966894517616001<203>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 9, 2022 12:02:48 UTC 2022 年 9 月 9 日 (金) 21 時 2 分 48 秒 (日本時間)

## 3×10229+4

### c183

composite cofactor 合成数の残り `175641175496118817455730436298223193536981204516120088142360916486629764601925158657797316851814299956471595544169024429268923811233106665918552208879992910561399506914607956951685433<183>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 9, 2022 12:02:52 UTC 2022 年 9 月 9 日 (金) 21 時 2 分 52 秒 (日本時間)

## 3×10230+4

### c179

name 名前 Eric Jeancolas June 20, 2022 05:41:03 UTC 2022 年 6 月 20 日 (月) 14 時 41 分 3 秒 (日本時間) `14541453809322537165105053563766753148658622956972973793368838393474790798333771019228046758910139058846109341673902003496320138455733933771861694851047371830982788356530427027957<179>` ```36790681284244299604942232077327<32> 395248288472166748918886637437154959431309449237673878376469084420320394388693891242946758430202086891595670511252319662100551775545224118754485691<147>``` ```GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 14541453809322537165105053563766753148658622956972973793368838393474790798333771019228046758910139058846109341673902003496320138455733933771861694851047371830982788356530427027957 (179 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:1185251490 Step 1 took 3418ms Step 2 took 2021ms ********** Factor found in step 2: 36790681284244299604942232077327 Found prime factor of 32 digits: 36790681284244299604942232077327 Prime cofactor 395248288472166748918886637437154959431309449237673878376469084420320394388693891242946758430202086891595670511252319662100551775545224118754485691 has 147 digits``` `GMP-ECM 7.0.4` ```Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

## 3×10232+4

### c206

name 名前 Dmitry Domanov September 7, 2022 10:03:11 UTC 2022 年 9 月 7 日 (水) 19 時 3 分 11 秒 (日本時間) `42750669913708514521595334321564267494635185945053392494768160051691419608065963981003489514222778607952607413926076715390136078037270300850155058039098632279826553593214091265388584451579176930825510756991<206>` ```23041020834420217561504215372476077399<38> 1855415618124206774673252034899877329365463696930956220165831990027688069558485681959697699447880432065781380464116833144272852186601100123656977995986659948347794979609<169>``` ```Resuming ECM residue saved by @68bb4d63d6e0 with GMP-ECM 7.0.5-dev on Tue Sep 6 11:11:27 2022 Input number is 42750669913708514521595334321564267494635185945053392494768160051691419608065963981003489514222778607952607413926076715390136078037270300850155058039098632279826553593214091265388584451579176930825510756991 (206 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:544132267 Step 1 took 0ms Step 2 took 10903ms ********** Factor found in step 2: 23041020834420217561504215372476077399 Found prime factor of 38 digits: 23041020834420217561504215372476077399 Prime cofactor 1855415618124206774673252034899877329365463696930956220165831990027688069558485681959697699447880432065781380464116833144272852186601100123656977995986659948347794979609 has 169 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

## 3×10233+4

### c194

composite cofactor 合成数の残り `18455499196885969992608418360736267685830866727870622018690711225605661190079964825995625260496937885829015097877283150721737277143478277258266958315972841475100438976667021281780016689845511967<194>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 9, 2022 12:02:57 UTC 2022 年 9 月 9 日 (金) 21 時 2 分 57 秒 (日本時間)

## 3×10234+4

### c224

composite cofactor 合成数の残り `24944879588103275428014601918176966543941432308616882976688358165324092797726869629886298964197005230088434081898782474329059031331250132314085429193366216341685679506159598755875168250340003124029534738363589782729291571317<224>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

## 3×10235+4

### c195

composite cofactor 合成数の残り `118621096064921842563161550967177989669596360558185434623532347674065704172119088380737576236949699869788581218347673367878742461809111698364624732788708677016644176542031468203608286648743256369<195>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 9, 2022 12:03:01 UTC 2022 年 9 月 9 日 (金) 21 時 3 分 1 秒 (日本時間)

## 3×10236+4

### c224

composite cofactor 合成数の残り `11678209116832706670602904052333275476580712469414225995849101098816724150279820246698512877305586485090424697672233053496144156334986033302201343509314409556050781274858472531472726915029449093383920473416391536205048649239<224>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

## 3×10239+4

### c229

composite cofactor 合成数の残り `2586375307131253013614549022028407782931485274662252948281018998692297573725748806196947125013519057011008761554331966817031444952936723256075711591165087601702935699629077906207618202614206160703158108559403896625016511993273919<229>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

## 3×10240+4

### c240

composite cofactor 合成数の残り `107142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857143<240>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

## 3×10242+4

### c207

name 名前 Eric Jeancolas June 20, 2022 13:20:58 UTC 2022 年 6 月 20 日 (月) 22 時 20 分 58 秒 (日本時間) `120214931479517698719703926946719689532735739746810489035014065746822357450475225742914392570865425393351704079696689043751528974871476581992971427166333103853758209012671728619461267837166326011970789007151<207>` `77052114730318108235065722241<29>` `1560176925711502708700225914966825869560803339700294640085027422434763348838345729055941133247146257982324157544144216194284546428181025649124975483377906064759134202656786062511<178>` ```GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 120214931479517698719703926946719689532735739746810489035014065746822357450475225742914392570865425393351704079696689043751528974871476581992971427166333103853758209012671728619461267837166326011970789007151 (207 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:78816902 Step 1 took 5931ms Step 2 took 3078ms ********** Factor found in step 2: 77052114730318108235065722241 Found prime factor of 29 digits: 77052114730318108235065722241 Composite cofactor 1560176925711502708700225914966825869560803339700294640085027422434763348838345729055941133247146257982324157544144216194284546428181025649124975483377906064759134202656786062511 has 178 digits``` `GMP-ECM 7.0.4` ```Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 9, 2022 12:03:06 UTC 2022 年 9 月 9 日 (金) 21 時 3 分 6 秒 (日本時間)

## 3×10243+4

### c223

composite cofactor 合成数の残り `6595587097207629445134619771227609536044642713961338779420326306052995916899180850324222045749331453400140375391220493370902677448960829199730221553435923360305563882227065087027282383460965323404614840756834561286740999411<223>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

## 3×10245+4

### c205

name 名前 Dmitry Domanov September 7, 2022 10:03:36 UTC 2022 年 9 月 7 日 (水) 19 時 3 分 36 秒 (日本時間) `1481045028490891583312972575513683039085531606242692901583854888565870010619148487078667509860912179511413534672470633477853503025195215201312672362189863573316905223117274564745644825064063932996204156083<205>` `25297118133366790516388667038572823<35>` `58545998033562547638744201917310088147589283641903999374348370209126140005032164246730984179802800276637616180770506391003429219161500887235393925001695168113336460071621<170>` ```Resuming ECM residue saved by @68bb4d63d6e0 with GMP-ECM 7.0.5-dev on Tue Sep 6 11:14:23 2022 Input number is 1481045028490891583312972575513683039085531606242692901583854888565870010619148487078667509860912179511413534672470633477853503025195215201312672362189863573316905223117274564745644825064063932996204156083 (205 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:4070225085 Step 1 took 0ms Step 2 took 10747ms ********** Factor found in step 2: 25297118133366790516388667038572823 Found prime factor of 35 digits: 25297118133366790516388667038572823 Composite cofactor 58545998033562547638744201917310088147589283641903999374348370209126140005032164246730984179802800276637616180770506391003429219161500887235393925001695168113336460071621 has 170 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 7, 2022 10:03:30 UTC 2022 年 9 月 7 日 (水) 19 時 3 分 30 秒 (日本時間)

## 3×10246+4

### c209

name 名前 Dmitry Domanov September 7, 2022 14:14:21 UTC 2022 年 9 月 7 日 (水) 23 時 14 分 21 秒 (日本時間) `42233233712317227162986010233701358800565190224028476766215477061325271523000294374482582660706098727001369963575838318784086953610856243226035108068402926866835489834433356387780172777625739656424856551811907<209>` `77592281704977116743911796221505321813<38>` `544296839637958452364543023360276376414613108071657542417049811945038285108933647741168911166475476038331592957769857253950344588925362582827817207467396076891991965072439<171>` ```Resuming ECM residue saved by @68bb4d63d6e0 with GMP-ECM 7.0.5-dev on Tue Sep 6 11:20:14 2022 Input number is 42233233712317227162986010233701358800565190224028476766215477061325271523000294374482582660706098727001369963575838318784086953610856243226035108068402926866835489834433356387780172777625739656424856551811907 (209 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:235550671 Step 1 took 0ms Step 2 took 10897ms ********** Factor found in step 2: 77592281704977116743911796221505321813 Found prime factor of 38 digits: 77592281704977116743911796221505321813 Composite cofactor 544296839637958452364543023360276376414613108071657542417049811945038285108933647741168911166475476038331592957769857253950344588925362582827817207467396076891991965072439 has 171 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 7, 2022 14:14:12 UTC 2022 年 9 月 7 日 (水) 23 時 14 分 12 秒 (日本時間)

## 3×10247+4

### c205

composite cofactor 合成数の残り `1584517077757823794187585193685611922216446260237706748732026356021828890286296194397966123643914008050099663827710978504240403603646958158623091880135439140409697333767516859557962822692014978456047879121<205>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 9, 2022 12:03:22 UTC 2022 年 9 月 9 日 (金) 21 時 3 分 22 秒 (日本時間)

## 3×10248+4

### c239

composite cofactor 合成数の残り `24803819735589039353316743244485977180190181726835573599504679493426721377044944345088408418388770267854686599836826782070801253984159432095500285849305519620562383625831291709158655231598227288729960622391718576864015759270243499154566269<239>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

## 3×10251+4

### c211

composite cofactor 合成数の残り `6651722075001066957600892200880128799599867288496836225981505179133303786467901322611791867433254671137133328139014765473778425307864635687626384270162610663579222440753885412924672759567495680263673608574188497<211>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 9, 2022 12:03:26 UTC 2022 年 9 月 9 日 (金) 21 時 3 分 26 秒 (日本時間)

## 3×10252+4

### c224

composite cofactor 合成数の残り `22374629627464104762698906801405728402100740962056255038794967013005836385601448071158350946150900758932471486275274103624095740865246190227727433260355493698835659873865972698278232818064562137008998765526034415435717892541<224>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

## 3×10253+4

### c218

composite cofactor 合成数の残り `17438308100654892998126795510451297698025531017168865519169908890061199158106968497653932500258036569440316071246853265808692560395064329931959545339526234988317473609150075430106292387429107595247567012561259278870769<218>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 9, 2022 12:03:31 UTC 2022 年 9 月 9 日 (金) 21 時 3 分 31 秒 (日本時間)

## 3×10254+4

### c212

name 名前 Dmitry Domanov September 7, 2022 10:04:19 UTC 2022 年 9 月 7 日 (水) 19 時 4 分 19 秒 (日本時間) `40159836619505733350658060381471157532197245255759158706528734867082825178516999268173586726127977339346586848260543092069080501745803845953386540641457372009729255702597661357115944455947852137761783000391036033<212>` `2272230326448154734665953995795187741<37>` `17674192687271158362516771540132707169627278099737105262632332380133667548544267255379289357391494588844037790477728253786422191264088874304406186090103674654033039802332639413<176>` ```Resuming ECM residue saved by @68bb4d63d6e0 with GMP-ECM 7.0.5-dev on Tue Sep 6 11:23:10 2022 Input number is 40159836619505733350658060381471157532197245255759158706528734867082825178516999268173586726127977339346586848260543092069080501745803845953386540641457372009729255702597661357115944455947852137761783000391036033 (212 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:291692161 Step 1 took 1ms Step 2 took 11333ms ********** Factor found in step 2: 2272230326448154734665953995795187741 Found prime factor of 37 digits: 2272230326448154734665953995795187741 Composite cofactor 17674192687271158362516771540132707169627278099737105262632332380133667548544267255379289357391494588844037790477728253786422191264088874304406186090103674654033039802332639413 has 176 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 7, 2022 10:03:54 UTC 2022 年 9 月 7 日 (水) 19 時 3 分 54 秒 (日本時間)

## 3×10255+4

### c230

composite cofactor 合成数の残り `21587689207098012092178963364686947889216867740478010376394853129682339809119739400352952180628832873562442691847256076693687047826495902768526988465755223947306814747283254843006380084035853112251591155559213131955492105012476891<230>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

## 3×10256+4

### c245

composite cofactor 合成数の残り `95029804624815129159043761507876437852277490081152228851674403407701092078927690016892940655583876664973155765452044942484070643856091486987480481341083594503028436631194473658869855273882503844207140966613860130204141830313260055619452298852467<245>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

## 3×10258+4

### c217

composite cofactor 合成数の残り `1883369650963598913523665486412620183288615357965536737620688819068529018567274371739262169591904766796446861144248651424385621321405353038696685946248573560242846891292876082553302995243404913613682679551338370280621<217>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 9, 2022 12:03:40 UTC 2022 年 9 月 9 日 (金) 21 時 3 分 40 秒 (日本時間)

## 3×10260+4

### c229

name 名前 Eric Jeancolas June 21, 2022 11:30:42 UTC 2022 年 6 月 21 日 (火) 20 時 30 分 42 秒 (日本時間) `3941997908783845055055140851666286252967057813970780802946110647048003114844114839683028440871601595111654815605259463481384924292394051296404188612299385128512457620468140719579633532611159694339681884783586794308135339308531121<229>` ```20116312962791787042371491097899<32> 195960259520478535133414142891115737012948580517255808217935251555677994683894961601187578412574255215268407692626384784399137571495570043962760240318768178281072694774508611550416017040037341112979<198>``` ```GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 3941997908783845055055140851666286252967057813970780802946110647048003114844114839683028440871601595111654815605259463481384924292394051296404188612299385128512457620468140719579633532611159694339681884783586794308135339308531121 (229 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:3073910352 Step 1 took 4219ms Step 2 took 2245ms ********** Factor found in step 2: 20116312962791787042371491097899 Found prime factor of 32 digits: 20116312962791787042371491097899 Prime cofactor 195960259520478535133414142891115737012948580517255808217935251555677994683894961601187578412574255215268407692626384784399137571495570043962760240318768178281072694774508611550416017040037341112979 has 198 digits``` `GMP-ECM 7.0.4` ```Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

## 3×10261+4

### c243

composite cofactor 合成数の残り `442290071981467202265612566191896475576592406199823007691569843937171319563076494611068829352773332557411952644974401585429531983403963881709150403044792814954033924273460981240891253554649158976816233923859604124617546334356355335286648207047<243>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

## 3×10263+4

### c261

composite cofactor 合成数の残り `278810408921933085501858736059479553903345724907063197026022304832713754646840148698884758364312267657992565055762081784386617100371747211895910780669144981412639405204460966542750929368029739776951672862453531598513011152416356877323420074349442379182156133829<261>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

## 3×10267+4

### c242

composite cofactor 合成数の残り `81130584091743775853724544460884000465674154020882366326426880013766415470194806679878364912725800954148181491098838642625005307362888680615705916105260129604102554577362849548215398268839491927042536908319685183023013522704532530708478744901<242>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

## 3×10268+4

### c225

name 名前 Eric Jeancolas June 21, 2022 15:06:45 UTC 2022 年 6 月 22 日 (水) 0 時 6 分 45 秒 (日本時間) `112516955687173637098719692826595219407287622460093381324691901170610083754834123646912875607101144557445621749370914474756978177250525476096316286103653756159587826807492372960526817001839026193644124880801889958366699907339<225>` ```13945757429499045433903<23> 110575559650495445458076234569<30>``` `72965358423862469849314417326754119295272978757641391130257532253542440803979218256202964457807340789442630152776621949336851310552064341227954514943472212044960825092511677<173>` ```GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 112516955687173637098719692826595219407287622460093381324691901170610083754834123646912875607101144557445621749370914474756978177250525476096316286103653756159587826807492372960526817001839026193644124880801889958366699907339 (225 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:2659091033 Step 1 took 4510ms Step 2 took 2364ms ********** Factor found in step 2: 13945757429499045433903 Found prime factor of 23 digits: 13945757429499045433903 Composite cofactor 8068185342817584873647200046874372106200368035486782928881826306864603614561679718186057657620431327926366284916390720255282582126435844015507641160480901945268132674335450104463774587304425078823562213 has 202 digits Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:1540927483 Step 1 took 4082ms Step 2 took 1919ms ********** Factor found in step 2: 110575559650495445458076234569 Found prime factor of 30 digits: 110575559650495445458076234569 Composite cofactor 72965358423862469849314417326754119295272978757641391130257532253542440803979218256202964457807340789442630152776621949336851310552064341227954514943472212044960825092511677 has 173 digits``` `GMP-ECM 7.0.4` ```Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)```

### c173

name 名前 Ignacio Santos June 22, 2022 21:36:24 UTC 2022 年 6 月 23 日 (木) 6 時 36 分 24 秒 (日本時間) `72965358423862469849314417326754119295272978757641391130257532253542440803979218256202964457807340789442630152776621949336851310552064341227954514943472212044960825092511677<173>` ```43271450404186326472433249158010046432656420197<47> 1686224005488925919078591789432463201418597435271346724855816905336927864668317295812297655709028416113326667854255525516158841<127>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1383161736 Step 1 took 7234ms Step 2 took 3969ms ********** Factor found in step 2: 43271450404186326472433249158010046432656420197 Found prime factor of 47 digits: 43271450404186326472433249158010046432656420197 Prime cofactor 1686224005488925919078591789432463201418597435271346724855816905336927864668317295812297655709028416113326667854255525516158841 has 127 digits ``` `GMP-ECM`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

## 3×10269+4

### c229

composite cofactor 合成数の残り `3816135863088463277521301781491058113328293223601568798493039219657963591438024300386658723392905225280555013232263783271713548338736429184170714960257307017809563954327002438260977703034930690906563057254919769232646346787255819<229>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

## 3×10270+4

### c252

composite cofactor 合成数の残り `659166031811834362360556154429406007596040611303434916119170324948033245567995169704488635260784610595531400664740419420269329496892488736407950434268567262481435290380113431002821960829068650848939450940761391734642965642834787441781565516611374073653<252>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

## 3×10271+4

### c244

composite cofactor 合成数の残り `3286237695441825208547755733649208047286283926720193283944251107442278281175197668020181419361514473998518365255239471483350830685563567998563919353801567452352580831561574809834689314346945433564780762850336935038629429274496250306423846795577<244>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

## 3×10272+4

### c216

composite cofactor 合成数の残り `330020188635207939864950848905427657757608698993540159601075223771854331989735768168921778390159742613317252501401118483265393031518348013490465384087053979093028212998616567130574179398245248030735117530470830025647<216>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 9, 2022 12:04:11 UTC 2022 年 9 月 9 日 (金) 21 時 4 分 11 秒 (日本時間)

## 3×10273+4

### c230

composite cofactor 合成数の残り `21697872497967412881069554924374354873545105681953274736863513027408271052089679556547351945783033067530047660184152325009929789449437278328103619481939569456640279018417191024993043168200448747714032567387481375994498628199210073<230>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

## 3×10274+4

### c180

composite cofactor 合成数の残り `961096036969443678780627777203399934805799370786909331674982340021673106815634990919431461936170905158502705386037503494771260580156719595149625271264942064755639225042811172512483<180>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 13, 2022 16:33:51 UTC 2022 年 6 月 14 日 (火) 1 時 33 分 51 秒 (日本時間)
4511e64480Ignacio SantosJune 13, 2022 21:54:46 UTC 2022 年 6 月 14 日 (火) 6 時 54 分 46 秒 (日本時間)

## 3×10275+4

### c234

composite cofactor 合成数の残り `545026777479065341679023970353946880652050604902100253484580107031927568446837103372371027144152758827313481737657045498530963495272471326547329887787030757739022020360983771334847874075565040971275975431235252147343922154864408206053<234>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

## 3×10276+4

### c228

composite cofactor 合成数の残り `662105546680506526584453813918349602681427402629712951210717408194709031766963523743063048893150512597407575895099220804271377345874511854684478970561605641802575058298514734540773040999488609425044879147269588331942892610997291<228>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

## 3×10278+4

### c249

composite cofactor 合成数の残り `103512986685860537123374022696034271201941384649541667553929326668066187773395786936109214282168409466066259841622183750692360331038299998153830509332210853096950736406964465084647305210594245470129327187571785068963965047077319876165398656466243643<249>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

## 3×10280+4

### c272

composite cofactor 合成数の残り `43789370767819350232180877472547115188074092152488765092510212892768980048809501004297541394398712415006509932208740941095817092755830392697063305551819024766222999962965869495962914863636892558884486448272804463568501735761029282822181273386844683965425991377195620215161<272>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

## 3×10282+4

### c213

composite cofactor 合成数の残り `134121986941140499685192623705454048304430652884118682797962863543262491019391992234019523316382336604967374796371541304129174069623485535358261168380046521461080588989183286692615709199774329059331846775335359873<213>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 9, 2022 12:04:19 UTC 2022 年 9 月 9 日 (金) 21 時 4 分 19 秒 (日本時間)

## 3×10283+4

### c247

composite cofactor 合成数の残り `6669932105007103238313228711712402931445671509061532469789008910869091682863581188918013524048753726862706422999734429451105813552838843735642203868003482228030545312002052636325198919395723421967780815165950036081797456673580829314347039072369373<247>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

## 3×10284+4

### c248

composite cofactor 合成数の残り `10798635961456247310256135763672695715988978080281861217734861073548561930944595566772199168807738088521626717698624610029198564367439920506598035202317961853746460452300162989516444587232921004004422365700869236940241888951341163094906971456361383<248>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

## 3×10285+4

### c253

name 名前 Dmitry Domanov September 2, 2022 21:01:43 UTC 2022 年 9 月 3 日 (土) 6 時 1 分 43 秒 (日本時間) `8740095651103461972416294009102478693242562879437201779343597261415185374769744777078633674258425919323179692219805918297036048292563648500972509751485975521048022747588113886525564814405225359049395340547094898750919823607497507556638713598704513581951<253>` `9520705414162054421601605672759345293<37>` `918009251510141779305124820247401790279342266933447924942542234955036726748379301401357942754481916970631255711391462010682420075806984870920121407296080427928938462002213420915337492006514867426340984962184669589307<216>` ```Resuming ECM residue saved by @d6315aa1804b with GMP-ECM 7.0.5-dev on Fri Sep 2 09:18:43 2022 Input number is 8740095651103461972416294009102478693242562879437201779343597261415185374769744777078633674258425919323179692219805918297036048292563648500972509751485975521048022747588113886525564814405225359049395340547094898750919823607497507556638713598704513581951 (253 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1913395856 Step 1 took 0ms Step 2 took 7223ms ********** Factor found in step 2: 9520705414162054421601605672759345293 Found prime factor of 37 digits: 9520705414162054421601605672759345293 Composite cofactor 918009251510141779305124820247401790279342266933447924942542234955036726748379301401357942754481916970631255711391462010682420075806984870920121407296080427928938462002213420915337492006514867426340984962184669589307 has 216 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 2, 2022 21:01:26 UTC 2022 年 9 月 3 日 (土) 6 時 1 分 26 秒 (日本時間)

## 3×10286+4

### c281

composite cofactor 合成数の残り `22164627028432783552073574740599981677241656495565596952511547770681813480230630332439852590453842903034189676012258516388525224823200158403201163199626452152480812821202386687038421642132887282528067806027005381571442503479846443463947017675551234274197123326940069803798721544313<281>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

## 3×10288+4

### c268

composite cofactor 合成数の残り `3175397065717584384227730984327753446915634546442960404735968748804871693325304992293682066418105879173933667306322371810978917673231553183210150414538844589682737037512804361577127066873954163098046520309072199127216873228051436088064998838012746749026875147425855703<268>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

## 3×10289+4

### c267

composite cofactor 合成数の残り `312520009613076798072342016747407305168882310933085100727514562877661506401725741398941851660450586113083957725561212161083329350270464545572665625890855238609795115679044591325920716236716726552419872890212599709433910866859798133227709431729088591256339398383006911<267>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

## 3×10290+4

### c233

composite cofactor 合成数の残り `29070058605511398623042895607219693217057159855776394754162192649664055011881888803527337395693018186971383481555974646882719600458198308728911100324724532905230775713975470082817687806865348296090988075636953283145039590330368059971<233>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

## 3×10291+4

### c291

composite cofactor 合成数の残り `750000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<291>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

## 3×10292+4

### c274

composite cofactor 合成数の残り `6044111920007962938102566071970889961009081679308648259356369188379855522551384321992977113932791385882523812741592807837057428931622291386052372490067689727725371120791000494780083536202438567599099683205844326137019232984041671181454147410593869929884229531276409495863103<274>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

## 3×10293+4

### c285

composite cofactor 合成数の残り `108987997946671931377924635342906692786856196252577894931899263637414241031843027719599056057565495825122462147803486333363533665368805132913864298843218682556364992301153217845862770622230514158276965552150410435649048747595156211240462055227627704154439527207914210844347356450407503<285>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

## 3×10296+4

### c246

composite cofactor 合成数の残り `174987188853810142008201770642463000981063977612083141188402759435379681584816945599120084544083227248600855408522829620003993182358720496812720604733075444461318465052250792564115317149726162468952262564448011410091248889014321880745784721619017<246>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

## 3×10297+4

### c256

composite cofactor 合成数の残り `7905427251817975541104492980874621454796522820669416352682180254664460294367392767120663078187762055236430369721602373723439337859615929863075727661987662453626921804457545957980735809162522510294994531736498717473917738573764967009068640458969059642549051<256>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

## 3×10298+4

### c248

composite cofactor 合成数の残り `57004931294857826314983010586476039925017937037124487501272510730919595667535863767949770143723867403626691463547982325598262092395338481687629017559529654929050127195832999198119363762662089750489250558163691615780670537698918033440212168950249599<248>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

## 3×10299+4

### c281

name 名前 Eric Jeancolas June 23, 2022 09:04:10 UTC 2022 年 6 月 23 日 (木) 18 時 4 分 10 秒 (日本時間) `33101031275555880652350030764992051959226813806421569248318708700319150994023155982997330760035115131663434805717188095217549140999704524432068976879957737124313341650512266918678107499530261532877223787102654237598387897289746227097882459801857711045863460564632901016554729295317<281>` `38127726564854815744681349<26>` `868161683315983045679357522470261183890078010213844477685585430853512747218776292870274753255306190529472529545393685417628559908104673904284824768860349519778931051825830204019164896831887322744358967835553566713845175044610101226711109256694083273609233<255>` ```GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 33101031275555880652350030764992051959226813806421569248318708700319150994023155982997330760035115131663434805717188095217549140999704524432068976879957737124313341650512266918678107499530261532877223787102654237598387897289746227097882459801857711045863460564632901016554729295317 (281 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:611881271 Step 1 took 5101ms Step 2 took 2418ms ********** Factor found in step 2: 38127726564854815744681349 Found prime factor of 26 digits: 38127726564854815744681349 Composite cofactor 868161683315983045679357522470261183890078010213844477685585430853512747218776292870274753255306190529472529545393685417628559908104673904284824768860349519778931051825830204019164896831887322744358967835553566713845175044610101226711109256694083273609233 has 255 digits``` `GMP-ECM 7.0.4` ```Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

## 3×10300+4

### c225

composite cofactor 合成数の残り `115685632454117595038415019679660338457421377001869123456104459836679420012643515279938023872852486737353507103948471849320592466972601252009884718256375645703588710489289032684442137632403612495391104245587560882092704278481<225>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJune 12, 2022 15:50:17 UTC 2022 年 6 月 13 日 (月) 0 時 50 分 17 秒 (日本時間)
4511e63584Dmitry DomanovJune 15, 2022 09:04:29 UTC 2022 年 6 月 15 日 (水) 18 時 4 分 29 秒 (日本時間)
5043e6130 / 6675Dmitry DomanovJune 15, 2022 09:04:29 UTC 2022 年 6 月 15 日 (水) 18 時 4 分 29 秒 (日本時間)