## 25×10132-529

### c113

name 名前 Ignacio Santos April 14, 2022 17:10:59 UTC 2022 年 4 月 15 日 (金) 2 時 10 分 59 秒 (日本時間) `35626215828633114040833250071844495550096295582158574210944910983122747058220719397588175674395594127234746654107<113>` ```22425725819654131517589731041738826579<38> 1588631561588519038985955410932621918496808891432454700920138926109027163033<76>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2828364458 Step 1 took 3484ms Step 2 took 2579ms ********** Factor found in step 2: 22425725819654131517589731041738826579 Found prime factor of 38 digits: 22425725819654131517589731041738826579 Prime cofactor 1588631561588519038985955410932621918496808891432454700920138926109027163033 has 76 digits ``` `GMP-ECM`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)

## 25×10139-529

### c126

name 名前 Ignacio Santos April 14, 2022 22:39:24 UTC 2022 年 4 月 15 日 (金) 7 時 39 分 24 秒 (日本時間) `414616109012717239171020234560634481613513845455811524551894577864984287084729384251747596964853772000591522953333709142317479<126>` ```1749019309140649639068282388002009771754041731<46> 237056335996903137147816548484972305410682500877901077732332057386791368539664909<81>``` ```N=414616109012717239171020234560634481613513845455811524551894577864984287084729384251747596964853772000591522953333709142317479 ( 126 digits) SNFS difficulty: 139 digits. Divisors found: r1=1749019309140649639068282388002009771754041731 (pp46) r2=237056335996903137147816548484972305410682500877901077732332057386791368539664909 (pp81) Version: Msieve v. 1.52 (SVN 927) Total time: 5.11 hours. Scaled time: 40.43 units (timescale=7.911). Factorization parameters were as follows: n: 414616109012717239171020234560634481613513845455811524551894577864984287084729384251747596964853772000591522953333709142317479 m: 50000000000000000000000000000000000 deg: 4 c4: 10 c0: -13 skew: 1.07 # Murphy_E = 5.216e-09 type: snfs lss: 1 rlim: 1500000 alim: 1500000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.3 alambda: 2.3Factor base limits: 1500000/1500000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved rational special-q in [750000, 1250001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 170949 x 171176 Total sieving time: 5.08 hours. Total relation processing time: 0.01 hours. Matrix solve time: 0.02 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,139.000,4,0,0,0,0,0,0,0,0,1500000,1500000,26,26,48,48,2.3,2.3,100000 total time: 5.11 hours.``` `GNFS, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)

## 25×10140-529

### c116

name 名前 Ignacio Santos April 16, 2022 22:39:17 UTC 2022 年 4 月 17 日 (日) 7 時 39 分 17 秒 (日本時間) `23707845463804830955557095087615999885114122675122906981322049115156962746721298510098419827177519599837752479479081<116>` ```16054832685241536497885187724471765575437133268673<50> 1476679696923802536224559814302603358882582241592871233479108718697<67>``` ```N=23707845463804830955557095087615999885114122675122906981322049115156962746721298510098419827177519599837752479479081 ( 116 digits) SNFS difficulty: 141 digits. Divisors found: r1=16054832685241536497885187724471765575437133268673 (pp50) r2=1476679696923802536224559814302603358882582241592871233479108718697 (pp67) Version: Msieve v. 1.52 (SVN 927) Total time: 2.93 hours. Scaled time: 22.89 units (timescale=7.819). Factorization parameters were as follows: n: 23707845463804830955557095087615999885114122675122906981322049115156962746721298510098419827177519599837752479479081 m: 10000000000000000000000000000 deg: 5 c5: 25 c0: -52 skew: 1.16 # Murphy_E = 3.914e-09 type: snfs lss: 1 rlim: 1590000 alim: 1590000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.3 alambda: 2.3Factor base limits: 1590000/1590000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved rational special-q in [795000, 1395001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 209091 x 209319 Total sieving time: 2.89 hours. Total relation processing time: 0.01 hours. Matrix solve time: 0.02 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,141.000,5,0,0,0,0,0,0,0,0,1590000,1590000,26,26,48,48,2.3,2.3,100000 total time: 2.93 hours.``` `GNFS, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)

## 25×10150-529

### c150

name 名前 ivelive April 15, 2022 09:04:00 UTC 2022 年 4 月 15 日 (金) 18 時 4 分 0 秒 (日本時間) `231481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481<150>` ```50288852442854005047983706310323649537<38> 4603037656198789744636913960288725903643383590655830731777223818871832979559680852882084887564090675713757237513<112>``` ```04/15/22 16:17:06 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 04/15/22 16:24:28 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 04/15/22 16:31:01 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 04/15/22 16:38:12 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 04/15/22 16:45:19 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 04/15/22 16:52:32 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 04/15/22 16:59:16 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 04/15/22 17:06:36 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 04/15/22 17:13:41 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 04/15/22 17:20:51 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 04/15/22 17:28:28 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 04/15/22 17:36:00 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 04/15/22 17:43:11 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 04/15/22 17:50:48 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 04/15/22 17:58:18 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve filtering 04/15/22 17:59:52 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve linear algebra 04/15/22 18:02:33 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve sqrt 04/15/22 18:03:28 v1.34.5 @ DESKTOP-RJPVCOL, prp38 = 50288852442854005047983706310323649537 04/15/22 18:03:28 v1.34.5 @ DESKTOP-RJPVCOL, prp112 = 4603037656198789744636913960288725903643383590655830731777223818871832979559680852882084887564090675713757237513 04/15/22 18:03:28 v1.34.5 @ DESKTOP-RJPVCOL, NFS elapsed time = 6381.5522 seconds.```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)

## 25×10152-529

### c95

name 名前 Ignacio Santos April 14, 2022 15:20:41 UTC 2022 年 4 月 15 日 (金) 0 時 20 分 41 秒 (日本時間) `94542674343093736246619200119876143789339484731607396467548084648163044465874355553256639106839<95>` ```19602736845352741275909813036026381494654009<44> 4822932383827167013317177910280769888552746778385871<52>``` ```prp52 = 4822932383827167013317177910280769888552746778385871 prp44 = 19602736845352741275909813036026381494654009``` `Yafu`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)

## 25×10154-529

### c115

name 名前 Ignacio Santos April 17, 2022 09:26:50 UTC 2022 年 4 月 17 日 (日) 18 時 26 分 50 秒 (日本時間) `1166705969413422200686814928488232554261490104107189435997538487691584603204061230073765899789391870035641093676723<115>` ```54630485100991902328464355695996410846077143949<47> 21356317214767672270112488363025415628365955005845192445730306564927<68>``` ```N=1166705969413422200686814928488232554261490104107189435997538487691584603204061230073765899789391870035641093676723 ( 115 digits) SNFS difficulty: 154 digits. Divisors found: r1=54630485100991902328464355695996410846077143949 (pp47) r2=21356317214767672270112488363025415628365955005845192445730306564927 (pp68) Version: Msieve v. 1.52 (SVN 927) Total time: 8.37 hours. Scaled time: 65.23 units (timescale=7.794). Factorization parameters were as follows: n: 1166705969413422200686814928488232554261490104107189435997538487691584603204061230073765899789391870035641093676723 m: 5000000000000000000000000000000 deg: 5 c5: 20 c0: -13 skew: 0.92 # Murphy_E = 1.303e-09 type: snfs lss: 1 rlim: 2700000 alim: 2700000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4Factor base limits: 2700000/2700000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved rational special-q in [1350000, 1950001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 456185 x 456411 Total sieving time: 8.28 hours. Total relation processing time: 0.02 hours. Matrix solve time: 0.06 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,154.000,5,0,0,0,0,0,0,0,0,2700000,2700000,27,27,50,50,2.4,2.4,100000 total time: 8.37 hours.``` `GNFS, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)

## 25×10155-529

### c136

name 名前 Ignacio Santos April 17, 2022 22:24:38 UTC 2022 年 4 月 18 日 (月) 7 時 24 分 38 秒 (日本時間) `4830836505127247466434288769014282609713898809729206212104367580559956286492646011365897696527711390102698620647927871360919099021615369<136>` ```3432854365078003647840760261161254247202265497153<49> 1407236075689880866576570267615540671975187388886643398855763357842988448247574678454473<88>``` ```N=4830836505127247466434288769014282609713898809729206212104367580559956286492646011365897696527711390102698620647927871360919099021615369 ( 136 digits) SNFS difficulty: 156 digits. Divisors found: r1=3432854365078003647840760261161254247202265497153 (pp49) r2=1407236075689880866576570267615540671975187388886643398855763357842988448247574678454473 (pp88) Version: Msieve v. 1.52 (SVN 927) Total time: 9.58 hours. Scaled time: 74.70 units (timescale=7.800). Factorization parameters were as follows: n: 4830836505127247466434288769014282609713898809729206212104367580559956286492646011365897696527711390102698620647927871360919099021615369 m: 10000000000000000000000000000000 deg: 5 c5: 25 c0: -52 skew: 1.16 # Murphy_E = 1.062e-09 type: snfs lss: 1 rlim: 2800000 alim: 2800000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4Factor base limits: 2800000/2800000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved rational special-q in [1400000, 2100001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 432305 x 432532 Total sieving time: 9.50 hours. Total relation processing time: 0.02 hours. Matrix solve time: 0.05 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,156.000,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000 total time: 9.58 hours.``` `GNFS, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)

## 25×10156-529

### c126

name 名前 Ignacio Santos April 20, 2022 21:45:49 UTC 2022 年 4 月 21 日 (木) 6 時 45 分 49 秒 (日本時間) `157544106924072767555640652447579241339968429400254720655167568345710584311690276253369142628808794455314281666786531544177439<126>` ```350973600490655309543559288018697549622181730859<48> 448877370559576852380442589085153797505355507507957772543832581460508022246621<78>``` ```N=157544106924072767555640652447579241339968429400254720655167568345710584311690276253369142628808794455314281666786531544177439 ( 126 digits) SNFS difficulty: 157 digits. Divisors found: r1=350973600490655309543559288018697549622181730859 (pp48) r2=448877370559576852380442589085153797505355507507957772543832581460508022246621 (pp78) Version: Msieve v. 1.52 (SVN 927) Total time: 10.77 hours. Scaled time: 84.61 units (timescale=7.855). Factorization parameters were as follows: n: 157544106924072767555640652447579241339968429400254720655167568345710584311690276253369142628808794455314281666786531544177439 m: 10000000000000000000000000000000 deg: 5 c5: 125 c0: -26 skew: 0.73 # Murphy_E = 1.031e-09 type: snfs lss: 1 rlim: 2900000 alim: 2900000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4Factor base limits: 2900000/2900000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved rational special-q in [1450000, 2250001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 366771 x 366997 Total sieving time: 10.71 hours. Total relation processing time: 0.02 hours. Matrix solve time: 0.04 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,157.000,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000 total time: 10.77 hours.``` `GNFS, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 18, 2022 22:20:05 UTC 2022 年 4 月 19 日 (火) 7 時 20 分 5 秒 (日本時間)

## 25×10157-529

### c104

name 名前 Ignacio Santos April 14, 2022 16:07:08 UTC 2022 年 4 月 15 日 (金) 1 時 7 分 8 秒 (日本時間) `34363908865400265737904696311757002709919840522501094832370400212387294006323196852410119430236648630407<104>` ```123166553805903420152890091890062688732849<42> 279003575268931413496556716732381402434249751487500118808617143<63>``` ```prp63 = 279003575268931413496556716732381402434249751487500118808617143 prp42 = 123166553805903420152890091890062688732849``` `Yafu`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)

## 25×10158-529

### c158

name 名前 Bob Backstrom April 16, 2022 12:37:47 UTC 2022 年 4 月 16 日 (土) 21 時 37 分 47 秒 (日本時間) `69444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443<158>` ```13891076233410262490080896159834355713136658045138899965679859140573<68> 4999212679966397172526224672408388508409802347553344530875786210283067597005846000880015191<91>``` ```Number: n N=69444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443 ( 158 digits) SNFS difficulty: 158 digits. Divisors found: Sat Apr 16 22:31:31 2022 p68 factor: 13891076233410262490080896159834355713136658045138899965679859140573 Sat Apr 16 22:31:31 2022 p91 factor: 4999212679966397172526224672408388508409802347553344530875786210283067597005846000880015191 Sat Apr 16 22:31:31 2022 elapsed time 00:06:26 (Msieve 1.54 - dependency 5) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.339). Factorization parameters were as follows: # # N = 25x10^158-52 = 27(157)2 # n: 69444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443 m: 50000000000000000000000000000000 deg: 5 c5: 2 c0: -13 skew: 1.45 # Murphy_E = 1.026e-09 type: snfs lss: 1 rlim: 3100000 alim: 3100000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4 Factor base limits: 3100000/3100000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved special-q in [100000, 7150000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1594213 hash collisions in 15868558 relations (15315508 unique) Msieve: matrix is 334146 x 334371 (110.9 MB) Sieving start time : 2022/04/16 21:52:34 Sieving end time : 2022/04/16 22:16:05 Total sieving time: 0hrs 23min 31secs. Total relation processing time: 0hrs 1min 55sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 2sec. Prototype def-par.txt line would be: snfs,158,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved) [ 0.153503] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732) [ 0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)

## 25×10160-529

### c120

name 名前 Ignacio Santos April 23, 2022 12:16:21 UTC 2022 年 4 月 23 日 (土) 21 時 16 分 21 秒 (日本時間) `100768549579692307746332326037230275641818626717931498174699662999412450066593034066596923808014773005172362164788092133<120>` ```9737502429462733599240510665712811113594112387<46> 10348500584174150435457097455563023008067059829066086664142410239284099959<74>``` ```N=100768549579692307746332326037230275641818626717931498174699662999412450066593034066596923808014773005172362164788092133 ( 120 digits) SNFS difficulty: 161 digits. Divisors found: r1=9737502429462733599240510665712811113594112387 (pp46) r2=10348500584174150435457097455563023008067059829066086664142410239284099959 (pp74) Version: Msieve v. 1.52 (SVN 927) Total time: 13.73 hours. Scaled time: 107.50 units (timescale=7.831). Factorization parameters were as follows: n: 100768549579692307746332326037230275641818626717931498174699662999412450066593034066596923808014773005172362164788092133 m: 100000000000000000000000000000000 deg: 5 c5: 25 c0: -52 skew: 1.16 # Murphy_E = 6.804e-10 type: snfs lss: 1 rlim: 3400000 alim: 3400000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4Factor base limits: 3400000/3400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved rational special-q in [1700000, 2700001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 550265 x 550494 Total sieving time: 13.61 hours. Total relation processing time: 0.02 hours. Matrix solve time: 0.07 hours. Time per square root: 0.02 hours. Prototype def-par.txt line would be: snfs,161.000,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000 total time: 13.73 hours.``` `GNFS, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 18, 2022 21:59:04 UTC 2022 年 4 月 19 日 (火) 6 時 59 分 4 秒 (日本時間)

## 25×10161-529

### c136

name 名前 Ignacio Santos April 23, 2022 13:50:20 UTC 2022 年 4 月 23 日 (土) 22 時 50 分 20 秒 (日本時間) `2514015869782750394049956204764973193182001944166126154379470970305245058076022683983812756588772417544105819895209334946370633987782921<136>` ```2845107736980614698882140412945517186014374836336713<52> 883627652164329895871085261279770980016535290955120718668689167378392778221698087617<84>``` ```N=2514015869782750394049956204764973193182001944166126154379470970305245058076022683983812756588772417544105819895209334946370633987782921 ( 136 digits) SNFS difficulty: 162 digits. Divisors found: r1=2845107736980614698882140412945517186014374836336713 (pp52) r2=883627652164329895871085261279770980016535290955120718668689167378392778221698087617 (pp84) Version: Msieve v. 1.52 (SVN 927) Total time: 13.63 hours. Scaled time: 107.97 units (timescale=7.924). Factorization parameters were as follows: n: 2514015869782750394049956204764973193182001944166126154379470970305245058076022683983812756588772417544105819895209334946370633987782921 m: 100000000000000000000000000000000 deg: 5 c5: 125 c0: -26 skew: 0.73 # Murphy_E = 6.606e-10 type: snfs lss: 1 rlim: 3500000 alim: 3500000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4Factor base limits: 3500000/3500000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved rational special-q in [1750000, 2750001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 556909 x 557139 Total sieving time: 13.52 hours. Total relation processing time: 0.02 hours. Matrix solve time: 0.07 hours. Time per square root: 0.02 hours. Prototype def-par.txt line would be: snfs,162.000,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000 total time: 13.63 hours.``` `GNFS, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 18, 2022 21:59:41 UTC 2022 年 4 月 19 日 (火) 6 時 59 分 41 秒 (日本時間)

## 25×10167-529

### c136

name 名前 ebina April 21, 2022 21:52:51 UTC 2022 年 4 月 22 日 (金) 6 時 52 分 51 秒 (日本時間) `2153094446004479409395142725452153533385803022473170108439152061827844090268712045583640081580060241307676116936190906209920187029184379<136>` ```7834593466121883208409388094334646738729362536912087<52> 274818911193647325716553815356896178703404253756768680481831328279419414583762014717<84>``` ```Fri Apr 22 02:25:04 2022 Msieve v. 1.53 (SVN unknown) Fri Apr 22 02:25:04 2022 random seeds: 91acf7f4 c9860d7a Fri Apr 22 02:25:04 2022 factoring 2153094446004479409395142725452153533385803022473170108439152061827844090268712045583640081580060241307676116936190906209920187029184379 (136 digits) Fri Apr 22 02:25:06 2022 searching for 15-digit factors Fri Apr 22 02:25:08 2022 commencing number field sieve (136-digit input) Fri Apr 22 02:25:08 2022 R0: -5000000000000000000000000000000000 Fri Apr 22 02:25:08 2022 R1: 1 Fri Apr 22 02:25:08 2022 A0: -65 Fri Apr 22 02:25:08 2022 A1: 0 Fri Apr 22 02:25:08 2022 A2: 0 Fri Apr 22 02:25:08 2022 A3: 0 Fri Apr 22 02:25:08 2022 A4: 0 Fri Apr 22 02:25:08 2022 A5: 1 Fri Apr 22 02:25:08 2022 skew 2.30, size 1.574e-11, alpha -0.273, combined = 4.158e-10 rroots = 1 Fri Apr 22 02:25:08 2022 Fri Apr 22 02:25:08 2022 commencing square root phase Fri Apr 22 02:25:08 2022 reading relations for dependency 1 Fri Apr 22 02:25:09 2022 read 352996 cycles Fri Apr 22 02:25:10 2022 cycles contain 1200256 unique relations Fri Apr 22 02:25:33 2022 read 1200256 relations Fri Apr 22 02:25:42 2022 multiplying 1200256 relations Fri Apr 22 02:26:27 2022 multiply complete, coefficients have about 26.66 million bits Fri Apr 22 02:26:28 2022 initial square root is modulo 45223231 Fri Apr 22 02:27:27 2022 Newton iteration failed to converge Fri Apr 22 02:27:27 2022 algebraic square root failed Fri Apr 22 02:27:27 2022 reading relations for dependency 2 Fri Apr 22 02:27:27 2022 read 353098 cycles Fri Apr 22 02:27:28 2022 cycles contain 1199658 unique relations Fri Apr 22 02:27:53 2022 read 1199658 relations Fri Apr 22 02:28:01 2022 multiplying 1199658 relations Fri Apr 22 02:28:45 2022 multiply complete, coefficients have about 26.64 million bits Fri Apr 22 02:28:45 2022 initial square root is modulo 44867071 Fri Apr 22 02:29:45 2022 Newton iteration failed to converge Fri Apr 22 02:29:45 2022 algebraic square root failed Fri Apr 22 02:29:45 2022 reading relations for dependency 3 Fri Apr 22 02:29:45 2022 read 353685 cycles Fri Apr 22 02:29:46 2022 cycles contain 1202082 unique relations Fri Apr 22 02:30:11 2022 read 1202082 relations Fri Apr 22 02:30:19 2022 multiplying 1202082 relations Fri Apr 22 02:31:01 2022 multiply complete, coefficients have about 26.70 million bits Fri Apr 22 02:31:02 2022 initial square root is modulo 46440631 Fri Apr 22 02:32:07 2022 Newton iteration failed to converge Fri Apr 22 02:32:07 2022 algebraic square root failed Fri Apr 22 02:32:07 2022 reading relations for dependency 4 Fri Apr 22 02:32:07 2022 read 353226 cycles Fri Apr 22 02:32:08 2022 cycles contain 1199016 unique relations Fri Apr 22 02:32:33 2022 read 1199016 relations Fri Apr 22 02:32:40 2022 multiplying 1199016 relations Fri Apr 22 02:33:25 2022 multiply complete, coefficients have about 26.63 million bits Fri Apr 22 02:33:26 2022 initial square root is modulo 44379551 Fri Apr 22 02:34:26 2022 sqrtTime: 558 Fri Apr 22 02:34:26 2022 p52 factor: 7834593466121883208409388094334646738729362536912087 Fri Apr 22 02:34:26 2022 p84 factor: 274818911193647325716553815356896178703404253756768680481831328279419414583762014717 Fri Apr 22 02:34:26 2022 elapsed time 00:09:22```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 18, 2022 15:16:00 UTC 2022 年 4 月 19 日 (火) 0 時 16 分 0 秒 (日本時間)

## 25×10168-529

### c150

name 名前 Bob Backstrom April 19, 2022 05:13:46 UTC 2022 年 4 月 19 日 (火) 14 時 13 分 46 秒 (日本時間) `109477549837472093072591266439006408008827562417510854521072346546932790522677118101184065763883506468237497007094558415063373961047120530450099908927<150>` ```1174026253021588341233222561990100186721467044392976481685091<61> 93249660776928970067807056193061694248389558376016412026783925178634476627562053671406197<89>``` ```Number: n N=109477549837472093072591266439006408008827562417510854521072346546932790522677118101184065763883506468237497007094558415063373961047120530450099908927 ( 150 digits) SNFS difficulty: 168 digits. Divisors found: Tue Apr 19 15:09:50 2022 p61 factor: 1174026253021588341233222561990100186721467044392976481685091 Tue Apr 19 15:09:50 2022 p89 factor: 93249660776928970067807056193061694248389558376016412026783925178634476627562053671406197 Tue Apr 19 15:09:50 2022 elapsed time 00:08:13 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.317). Factorization parameters were as follows: # # N = 25x10^168-52 = 27(167)2 # n: 109477549837472093072591266439006408008827562417510854521072346546932790522677118101184065763883506468237497007094558415063373961047120530450099908927 m: 5000000000000000000000000000000000 deg: 5 c5: 2 c0: -13 skew: 1.45 # Murphy_E = 4.167e-10 type: snfs lss: 1 rlim: 4600000 alim: 4600000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 4600000/4600000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved special-q in [100000, 7900000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1670745 hash collisions in 15708655 relations (15037767 unique) Msieve: matrix is 502633 x 502860 (171.8 MB) Sieving start time : 2022/04/19 14:15:56 Sieving end time : 2022/04/19 15:01:05 Total sieving time: 0hrs 45min 9secs. Total relation processing time: 0hrs 4min 0sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 24sec. Prototype def-par.txt line would be: snfs,168,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved) [ 0.153503] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732) [ 0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 18, 2022 10:58:17 UTC 2022 年 4 月 18 日 (月) 19 時 58 分 17 秒 (日本時間)

## 25×10169-529

### c140

name 名前 Taiyo Kodama May 10, 2022 09:52:06 UTC 2022 年 5 月 10 日 (火) 18 時 52 分 6 秒 (日本時間) `60862070460930668883670373342448647135928835181994566285584959261841569866804487770253816077681630102869823667686544758613355735672372986533<140>` ```111158673130538801313569942890349675247124337055571333483117<60> 547524261912136249085692022423618198178694008273094384582542295615861112445351449<81>``` ```Tue May 10 16:07:25 2022 Msieve v. 1.53 (SVN unknown) Tue May 10 16:07:25 2022 random seeds: ccb8fd78 cc03e206 Tue May 10 16:07:25 2022 factoring 60862070460930668883670373342448647135928835181994566285584959261841569866804487770253816077681630102869823667686544758613355735672372986533 (140 digits) Tue May 10 16:07:25 2022 searching for 15-digit factors Tue May 10 16:07:25 2022 commencing number field sieve (140-digit input) Tue May 10 16:07:25 2022 R0: -5000000000000000000000000000000000 Tue May 10 16:07:25 2022 R1: 1 Tue May 10 16:07:25 2022 A0: -13 Tue May 10 16:07:25 2022 A1: 0 Tue May 10 16:07:25 2022 A2: 0 Tue May 10 16:07:25 2022 A3: 0 Tue May 10 16:07:25 2022 A4: 0 Tue May 10 16:07:25 2022 A5: 20 Tue May 10 16:07:25 2022 skew 0.92, size 1.100e-11, alpha -0.353, combined = 3.392e-10 rroots = 1 Tue May 10 16:07:25 2022 Tue May 10 16:07:25 2022 commencing square root phase Tue May 10 16:07:25 2022 reading relations for dependency 1 Tue May 10 16:07:25 2022 read 345938 cycles Tue May 10 16:07:26 2022 cycles contain 1139870 unique relations Tue May 10 16:07:34 2022 read 1139870 relations Tue May 10 16:07:37 2022 multiplying 1139870 relations Tue May 10 16:07:52 2022 multiply complete, coefficients have about 29.56 million bits Tue May 10 16:07:52 2022 initial square root is modulo 308223781 Tue May 10 16:08:09 2022 Newton iteration failed to converge Tue May 10 16:08:09 2022 algebraic square root failed Tue May 10 16:08:09 2022 reading relations for dependency 2 Tue May 10 16:08:09 2022 read 345332 cycles Tue May 10 16:08:09 2022 cycles contain 1137190 unique relations Tue May 10 16:08:17 2022 read 1137190 relations Tue May 10 16:08:20 2022 multiplying 1137190 relations Tue May 10 16:08:35 2022 multiply complete, coefficients have about 29.49 million bits Tue May 10 16:08:35 2022 initial square root is modulo 294283291 Tue May 10 16:08:52 2022 sqrtTime: 87 Tue May 10 16:08:52 2022 p60 factor: 111158673130538801313569942890349675247124337055571333483117 Tue May 10 16:08:52 2022 p81 factor: 547524261912136249085692022423618198178694008273094384582542295615861112445351449 Tue May 10 16:08:52 2022 elapsed time 00:01:27 Tue May 10 16:08:52 2022 -> Computing time scale for this machine... Tue May 10 16:08:52 2022 -> procrels -speedtest> PIPE```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 18, 2022 10:58:32 UTC 2022 年 4 月 18 日 (月) 19 時 58 分 32 秒 (日本時間)

## 25×10170-529

### c158

name 名前 Bob Backstrom April 16, 2022 02:18:01 UTC 2022 年 4 月 16 日 (土) 11 時 18 分 1 秒 (日本時間) `18075927551120534443473600855793195770714245044764176651566304780691867015817336838196387545420189377690572117036489857810628981380401512836438937930682451551<158>` ```41176101862293498530363898739389799302993597433<47> 438990743018181124625721102808692395493760806359559956707647954606874580463382903648306182758993468771253703447<111>``` ```Number: n N=18075927551120534443473600855793195770714245044764176651566304780691867015817336838196387545420189377690572117036489857810628981380401512836438937930682451551 ( 158 digits) SNFS difficulty: 171 digits. Divisors found: Sat Apr 16 12:12:53 2022 p47 factor: 41176101862293498530363898739389799302993597433 Sat Apr 16 12:12:53 2022 p111 factor: 438990743018181124625721102808692395493760806359559956707647954606874580463382903648306182758993468771253703447 Sat Apr 16 12:12:53 2022 elapsed time 00:09:37 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.317). Factorization parameters were as follows: # # N = 25x10^170-52 = 27(169)2 # n: 18075927551120534443473600855793195770714245044764176651566304780691867015817336838196387545420189377690572117036489857810628981380401512836438937930682451551 m: 10000000000000000000000000000000000 deg: 5 c5: 25 c0: -52 skew: 1.16 # Murphy_E = 2.754e-10 type: snfs lss: 1 rlim: 5000000 alim: 5000000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 5000000/5000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved special-q in [100000, 8100000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 2077358 hash collisions in 16922066 relations (15872332 unique) Msieve: matrix is 573540 x 573766 (197.0 MB) Sieving start time : 2022/04/16 11:15:29 Sieving end time : 2022/04/16 12:02:48 Total sieving time: 0hrs 47min 19secs. Total relation processing time: 0hrs 4min 57sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 30sec. Prototype def-par.txt line would be: snfs,171,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved) [ 0.153503] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732) [ 0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)

## 25×10171-529

### c165

name 名前 Bob Backstrom April 15, 2022 00:27:00 UTC 2022 年 4 月 15 日 (金) 9 時 27 分 0 秒 (日本時間) `418523319818043471113219129368370632466414173221913720312717946018795246137582208861618579006856885180705311569852847870389287624426145935264687875017820722957852291<165>` ```21016988484739439396044399396018553307800269<44> 19913572304706535292173044441954253496757878499822422288352655080771840349490449708133669434869924098299688578457088452239<122>``` ```GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 418523319818043471113219129368370632466414173221913720312717946018795246137582208861618579006856885180705311569852847870389287624426145935264687875017820722957852291 (165 digits) Using B1=12830000, B2=35135665120, polynomial Dickson(12), sigma=1:878480825 Step 1 took 30733ms Step 2 took 12006ms ********** Factor found in step 2: 21016988484739439396044399396018553307800269 Found prime factor of 44 digits: 21016988484739439396044399396018553307800269 Prime cofactor 19913572304706535292173044441954253496757878499822422288352655080771840349490449708133669434869924098299688578457088452239 has 122 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)

## 25×10174-529

### c156

name 名前 Bob Backstrom April 16, 2022 17:00:19 UTC 2022 年 4 月 17 日 (日) 2 時 0 分 19 秒 (日本時間) `627910771290723730078820712596560595856624226462082942797530809120922486159597483709361388613744999756935879605273896680301812584548281541973373982083555619<156>` ```32644919543090487376163627266384947822847<41> 2038061151422632477300439265821927545144003<43> 9437677217875739248872922188569257342919608941004883384371777843884481759<73>``` ```Number: n N=627910771290723730078820712596560595856624226462082942797530809120922486159597483709361388613744999756935879605273896680301812584548281541973373982083555619 ( 156 digits) SNFS difficulty: 174 digits. Divisors found: Sun Apr 17 02:54:34 2022 found factor: 2038061151422632477300439265821927545144003 Sun Apr 17 02:55:06 2022 found factor: 2038061151422632477300439265821927545144003 Sun Apr 17 02:55:39 2022 p41 factor: 32644919543090487376163627266384947822847 Sun Apr 17 02:55:39 2022 p43 factor: 2038061151422632477300439265821927545144003 Sun Apr 17 02:55:39 2022 p73 factor: 9437677217875739248872922188569257342919608941004883384371777843884481759 Sun Apr 17 02:55:39 2022 elapsed time 00:12:01 (Msieve 1.54 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.329). Factorization parameters were as follows: # # N = 25x10^174-52 = 27(173)2 # n: 627910771290723730078820712596560595856624226462082942797530809120922486159597483709361388613744999756935879605273896680301812584548281541973373982083555619 m: 50000000000000000000000000000000000 deg: 5 c5: 20 c0: -13 skew: 0.92 # Murphy_E = 2.145e-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, 8450000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 2128881 hash collisions in 16550425 relations (15382017 unique) Msieve: matrix is 643943 x 644168 (220.9 MB) Sieving start time : 2022/04/17 01:54:03 Sieving end time : 2022/04/17 02:43:15 Total sieving time: 0hrs 49min 12secs. Total relation processing time: 0hrs 6min 20sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 37sec. 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) ---------- [ 0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved) [ 0.153503] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732) [ 0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)

## 25×10175-529

### c168

name 名前 Bob Backstrom April 16, 2022 04:40:43 UTC 2022 年 4 月 16 日 (土) 13 時 40 分 43 秒 (日本時間) `212834152045020014736364259882568194726998808016372115608146908579344328400113521990819737683508117336210387941867153969016911798316150857650631268308440710631916209653<168>` ```5538416487355323108468985990416171751091<40> 25135601909469959195873925347330279211912885853<47> 1528855417502617804543940938367296744388106263446200188647447306119207580055768611<82>``` ```Number: n N=212834152045020014736364259882568194726998808016372115608146908579344328400113521990819737683508117336210387941867153969016911798316150857650631268308440710631916209653 ( 168 digits) SNFS difficulty: 176 digits. Divisors found: Sat Apr 16 14:33:11 2022 found factor: 5538416487355323108468985990416171751091 Sat Apr 16 14:34:25 2022 p40 factor: 5538416487355323108468985990416171751091 Sat Apr 16 14:34:25 2022 p47 factor: 25135601909469959195873925347330279211912885853 Sat Apr 16 14:34:25 2022 p82 factor: 1528855417502617804543940938367296744388106263446200188647447306119207580055768611 Sat Apr 16 14:34:25 2022 elapsed time 00:17:32 (Msieve 1.54 - dependency 4) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.328). Factorization parameters were as follows: # # N = 25x10^175-52 = 27(174)2 # n: 212834152045020014736364259882568194726998808016372115608146908579344328400113521990819737683508117336210387941867153969016911798316150857650631268308440710631916209653 m: 100000000000000000000000000000000000 deg: 5 c5: 25 c0: -52 skew: 1.16 # Murphy_E = 1.739e-10 type: snfs lss: 1 rlim: 6100000 alim: 6100000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 6100000/6100000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved special-q in [100000, 15850000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 4397361 hash collisions in 33309636 relations (30788601 unique) Msieve: matrix is 711347 x 711575 (239.4 MB) Sieving start time : 2022/04/16 12:51:16 Sieving end time : 2022/04/16 14:16:23 Total sieving time: 1hrs 25min 7secs. Total relation processing time: 0hrs 7min 20sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 2min 26sec. Prototype def-par.txt line would be: snfs,176,5,0,0,0,0,0,0,0,0,6100000,6100000,28,28,53,53,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved) [ 0.153503] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732) [ 0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)

## 25×10176-529

### c131

name 名前 Bob Backstrom June 15, 2022 16:32:10 UTC 2022 年 6 月 16 日 (木) 1 時 32 分 10 秒 (日本時間) `85108683200782768417675087752600538938129900556985439622534302293481026505268493890848574534968925575184593694987724799194963625943<131>` ```1164016781675427232491699523282440870878390805751741093388919197<64> 73116371293446138131841260821128947580969254491907142471132560719619<68>``` ```Number: n N=85108683200782768417675087752600538938129900556985439622534302293481026505268493890848574534968925575184593694987724799194963625943 ( 131 digits) SNFS difficulty: 177 digits. Divisors found: Thu Jun 16 02:23:56 2022 p64 factor: 1164016781675427232491699523282440870878390805751741093388919197 Thu Jun 16 02:23:56 2022 p68 factor: 73116371293446138131841260821128947580969254491907142471132560719619 Thu Jun 16 02:23:56 2022 elapsed time 00:17:05 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.350). Factorization parameters were as follows: # # N = 25x10^176-52 = 27(175)2 # n: 85108683200782768417675087752600538938129900556985439622534302293481026505268493890848574534968925575184593694987724799194963625943 m: 100000000000000000000000000000000000 deg: 5 c5: 125 c0: -26 skew: 0.73 # Murphy_E = 1.686e-10 type: snfs lss: 1 rlim: 6300000 alim: 6300000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 6300000/6300000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved special-q in [100000, 15950000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3579779 hash collisions in 32170786 relations (29821975 unique) Msieve: matrix is 789589 x 789814 (272.8 MB) Sieving start time : 2022/06/16 00:43:49 Sieving end time : 2022/06/16 02:06:23 Total sieving time: 1hrs 22min 34secs. Total relation processing time: 0hrs 8min 54sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 51sec. Prototype def-par.txt line would be: snfs,177,5,0,0,0,0,0,0,0,0,6300000,6300000,28,28,53,53,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.118494] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16197192K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530044K reserved, 0K cma-reserved) [ 0.153548] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.34 BogoMIPS (lpj=12798684) [ 0.152038] smpboot: Total of 16 processors activated (102389.47 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 17, 2022 14:32:59 UTC 2022 年 4 月 17 日 (日) 23 時 32 分 59 秒 (日本時間)

## 25×10178-529

### c113

name 名前 Taiyo Kodama April 15, 2022 08:02:50 UTC 2022 年 4 月 15 日 (金) 17 時 2 分 50 秒 (日本時間) `12107985635978839053269463477170641684420843557976258551285836548652726620884204150921465150542672795419424694863<113>` ```55365848930122805833911830594083757772866894565107<50> 218690508137251144702154689350304186985590431566973514160262709<63>``` ```218690508137251144702154689350304186985590431566973514160262709 55365848930122805833911830594083757772866894565107 n: 12107985635978839053269463477170641684420843557976258551285836548652726620884204150921465150542672795419424694863 skew: 8510.515 c0: -5673307499303084796790374 c1: -1908763912966751940209 c2: 494539964968889180 c3: -36768520883101 c4: -3823888020 c5: -151200 Y0: -3735846671924210112654 Y1: 43251979997291189 # MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.342e-06 # f(x) = -151200*x^5-3823888020*x^4-36768520883101*x^3+494539964968889180*x^2-1908763912966751940209*x-5673307499303084796790374 # g(x) = 43251979997291189*x-3735846671924210112654``` `cado-nfs 3.0.0`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 14, 2022 17:47:30 UTC 2022 年 4 月 15 日 (金) 2 時 47 分 30 秒 (日本時間)

## 25×10180-529

### c136

name 名前 Taiyo Kodama May 21, 2022 01:48:19 UTC 2022 年 5 月 21 日 (土) 10 時 48 分 19 秒 (日本時間) `1024856867912530581783746404622740068112834269751118662453224311370988964202376001523839214957884376802332107235221252597764685037596887<136>` ```18765723656120769335002914454382461644479307547<47> 54613234570266922285234417600176873614052556105775404836897600926070206954080969137407221<89>``` ```Sat May 21 06:08:52 2022 Msieve v. 1.53 (SVN unknown) Sat May 21 06:08:52 2022 random seeds: db4a21e8 93cb8b9f Sat May 21 06:08:52 2022 factoring 1024856867912530581783746404622740068112834269751118662453224311370988964202376001523839214957884376802332107235221252597764685037596887 (136 digits) Sat May 21 06:08:52 2022 searching for 15-digit factors Sat May 21 06:08:53 2022 commencing number field sieve (136-digit input) Sat May 21 06:08:53 2022 R0: -1000000000000000000000000000000000000 Sat May 21 06:08:53 2022 R1: 1 Sat May 21 06:08:53 2022 A0: -52 Sat May 21 06:08:53 2022 A1: 0 Sat May 21 06:08:53 2022 A2: 0 Sat May 21 06:08:53 2022 A3: 0 Sat May 21 06:08:53 2022 A4: 0 Sat May 21 06:08:53 2022 A5: 25 Sat May 21 06:08:53 2022 skew 1.16, size 1.651e-12, alpha -0.648, combined = 1.094e-10 rroots = 1 Sat May 21 06:08:53 2022 Sat May 21 06:08:53 2022 commencing square root phase Sat May 21 06:08:53 2022 reading relations for dependency 1 Sat May 21 06:08:53 2022 read 699281 cycles Sat May 21 06:08:53 2022 cycles contain 2408598 unique relations Sat May 21 06:09:12 2022 read 2408598 relations Sat May 21 06:09:19 2022 multiplying 2408598 relations Sat May 21 06:09:56 2022 multiply complete, coefficients have about 64.77 million bits Sat May 21 06:09:57 2022 initial square root is modulo 1991057591 Sat May 21 06:10:44 2022 sqrtTime: 111 Sat May 21 06:10:44 2022 p47 factor: 18765723656120769335002914454382461644479307547 Sat May 21 06:10:44 2022 p89 factor: 54613234570266922285234417600176873614052556105775404836897600926070206954080969137407221 Sat May 21 06:10:44 2022 elapsed time 00:01:52 Sat May 21 06:10:44 2022 -> Computing time scale for this machine... Sat May 21 06:10:44 2022 -> procrels -speedtest> PIPE```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 17, 2022 16:06:23 UTC 2022 年 4 月 18 日 (月) 1 時 6 分 23 秒 (日本時間)

## 25×10182-529

### c164

name 名前 Bob Backstrom April 17, 2022 07:24:02 UTC 2022 年 4 月 17 日 (日) 16 時 24 分 2 秒 (日本時間) `14403118682796210416880542090420343376865706935521884896476142281569200258068314702752929999864106161632493932959039940244672844153644274143204696757075716897357909<164>` ```83073003882649049276124957626794043320163867835712526048509081415650741<71> 173379052274820915792755086244773776321472043759704331875907613402945988069028998906427247649<93>``` ```Number: n N=14403118682796210416880542090420343376865706935521884896476142281569200258068314702752929999864106161632493932959039940244672844153644274143204696757075716897357909 ( 164 digits) SNFS difficulty: 183 digits. Divisors found: Sun Apr 17 17:19:42 2022 p71 factor: 83073003882649049276124957626794043320163867835712526048509081415650741 Sun Apr 17 17:19:42 2022 p93 factor: 173379052274820915792755086244773776321472043759704331875907613402945988069028998906427247649 Sun Apr 17 17:19:42 2022 elapsed time 00:19:01 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.303). Factorization parameters were as follows: # # N = 25x10^182-52 = 27(181)2 # n: 14403118682796210416880542090420343376865706935521884896476142281569200258068314702752929999864106161632493932959039940244672844153644274143204696757075716897357909 m: 5000000000000000000000000000000000000 deg: 5 c5: 1 c0: -65 skew: 2.30 # Murphy_E = 1.04e-10 type: snfs lss: 1 rlim: 8000000 alim: 8000000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 8000000/8000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved special-q in [100000, 9600000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3273466 hash collisions in 31459559 relations (30185607 unique) Msieve: matrix is 817641 x 817873 (275.2 MB) Sieving start time : 2022/04/17 14:35:36 Sieving end time : 2022/04/17 17:00:10 Total sieving time: 2hrs 24min 34secs. Total relation processing time: 0hrs 10min 10sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 39sec. Prototype def-par.txt line would be: snfs,183,5,0,0,0,0,0,0,0,0,8000000,8000000,28,28,53,53,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved) [ 0.153503] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732) [ 0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)

## 25×10183-529

### c151

name 名前 Bob Backstrom April 18, 2022 21:25:02 UTC 2022 年 4 月 19 日 (火) 6 時 25 分 2 秒 (日本時間) `8739099882392575841145136941033867936103325986398846726527143431641577184567104809545816615402732574594036712056280432154757810248480138836943166291417<151>` ```524482613631491273618759195536925610330629003682988215943141366861<66> 16662325223487366328223970177533244858030142447577271415855815818386529882619112471997<86>``` ```Number: n N=8739099882392575841145136941033867936103325986398846726527143431641577184567104809545816615402732574594036712056280432154757810248480138836943166291417 ( 151 digits) SNFS difficulty: 183 digits. Divisors found: Tue Apr 19 07:18:56 2022 p66 factor: 524482613631491273618759195536925610330629003682988215943141366861 Tue Apr 19 07:18:56 2022 p86 factor: 16662325223487366328223970177533244858030142447577271415855815818386529882619112471997 Tue Apr 19 07:18:56 2022 elapsed time 00:18:37 (Msieve 1.54 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.350). Factorization parameters were as follows: # # N = 25x10^183-52 = 27(182)2 # n: 8739099882392575841145136941033867936103325986398846726527143431641577184567104809545816615402732574594036712056280432154757810248480138836943166291417 m: 5000000000000000000000000000000000000 deg: 5 c5: 2 c0: -13 skew: 1.45 # Murphy_E = 1.041e-10 type: snfs lss: 1 rlim: 8100000 alim: 8100000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 8100000/8100000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved special-q in [100000, 9650000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 2741136 hash collisions in 32389100 relations (31046754 unique) Msieve: matrix is 789394 x 789626 (267.7 MB) Sieving start time : 2022/04/19 04:37:01 Sieving end time : 2022/04/19 06:59:49 Total sieving time: 2hrs 22min 48secs. Total relation processing time: 0hrs 8min 46sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 54sec. Prototype def-par.txt line would be: snfs,183,5,0,0,0,0,0,0,0,0,8100000,8100000,28,28,53,53,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved) [ 0.153503] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732) [ 0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 17, 2022 16:07:28 UTC 2022 年 4 月 18 日 (月) 1 時 7 分 28 秒 (日本時間)

## 25×10185-529

### c145

name 名前 Eric Jeancolas July 24, 2022 22:11:00 UTC 2022 年 7 月 25 日 (月) 7 時 11 分 0 秒 (日本時間) `1911542447874798740691142779579680754239457150152694442370580414114924072487449226438173663684494063542914549043938498068851091314312396125362341<145>` ```963904183609322333056013805374759521458933362615628235752460992852832027<72> 1983124962397259782263674231369280556955756186902827619219090987524248383<73>``` ```1911542447874798740691142779579680754239457150152694442370580414114924072487449226438173663684494063542914549043938498068851091314312396125362341=963904183609322333056013805374759521458933362615628235752460992852832027*1983124962397259782263674231369280556955756186902827619219090987524248383 cado polynomial n: 1911542447874798740691142779579680754239457150152694442370580414114924072487449226438173663684494063542914549043938498068851091314312396125362341 skew: 1.16 type: snfs c0: -52 c5: 25 Y0: 10000000000000000000000000000000000000 Y1: -1 # f(x) = 25*x^5-52 # g(x) = -x+10000000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 8900000 tasks.lim1 = 8900000 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: 963904183609322333056013805374759521458933362615628235752460992852832027 1983124962397259782263674231369280556955756186902827619219090987524248383 Info:Square Root: Total cpu/real time for sqrt: 684.26/210.022 Info:Square Root: Total cpu/real time for sqrt: 684.26/210.022 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 91.97/108.109 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 108.0s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 219.79/186.291 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 171.7s Info:Generate Factor Base: Total cpu/real time for makefb: 3.79/2.19691 Info:Filtering - Merging: Merged matrix has 1474863 rows and total weight 252140894 (171.0 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 376.49/104.986 Info:Filtering - Merging: Total cpu/real time for replay: 56.51/48.1312 Info:Linear Algebra: Total cpu/real time for bwc: 35160.3/9026.72 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 22460.55, WCT time 5740.02, iteration CPU time 0.12, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (46336 iterations) Info:Linear Algebra: Lingen CPU time 288.32, WCT time 73.19 Info:Linear Algebra: Mksol: CPU time 12150.18, WCT time 3115.85, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (23296 iterations) Info:Filtering - Singleton removal: Total cpu/real time for purge: 88.82/105.058 Info:Quadratic Characters: Total cpu/real time for characters: 53.93/21.7938 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 22413051 Info:Lattice Sieving: Average J: 1894.03 for 1001905 special-q, max bucket fill -bkmult 1.0,1s:1.190090 Info:Lattice Sieving: Total time: 186571s Info:Generate Free Relations: Total cpu/real time for freerel: 117.67/30.5463 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 385650/91083.6 963904183609322333056013805374759521458933362615628235752460992852832027 1983124962397259782263674231369280556955756186902827619219090987524248383``` `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 JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 17, 2022 16:10:31 UTC 2022 年 4 月 18 日 (月) 1 時 10 分 31 秒 (日本時間)

## 25×10186-529

### c152

name 名前 Bob Backstrom April 18, 2022 18:39:23 UTC 2022 年 4 月 19 日 (火) 3 時 39 分 23 秒 (日本時間) `13236290454337029072743728892945571430202728521246054161259852684617882427357816270329365171459951691417999244182517830434064871421403789996589535506589<152>` ```17964660078694538568759839027660138354661072472661<50> 736796042694668558915031675899498027402092066249726962429809888091877344006595824661657012453038974249<102>``` ```Number: n N=13236290454337029072743728892945571430202728521246054161259852684617882427357816270329365171459951691417999244182517830434064871421403789996589535506589 ( 152 digits) SNFS difficulty: 187 digits. Divisors found: Tue Apr 19 04:35:21 2022 p50 factor: 17964660078694538568759839027660138354661072472661 Tue Apr 19 04:35:21 2022 p102 factor: 736796042694668558915031675899498027402092066249726962429809888091877344006595824661657012453038974249 Tue Apr 19 04:35:21 2022 elapsed time 00:25:55 (Msieve 1.54 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.330). Factorization parameters were as follows: # # N = 25x10^186-52 = 27(185)2 # n: 13236290454337029072743728892945571430202728521246054161259852684617882427357816270329365171459951691417999244182517830434064871421403789996589535506589 m: 10000000000000000000000000000000000000 deg: 5 c5: 125 c0: -26 skew: 0.73 # Murphy_E = 6.634e-11 type: snfs lss: 1 rlim: 9200000 alim: 9200000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 Factor base limits: 9200000/9200000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 54/54 Sieved special-q in [100000, 10200000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3374568 hash collisions in 31786822 relations (30421908 unique) Msieve: matrix is 996519 x 996745 (342.7 MB) Sieving start time : 2022/04/19 01:13:24 Sieving end time : 2022/04/19 04:08:57 Total sieving time: 2hrs 55min 33secs. Total relation processing time: 0hrs 15min 48sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 2min 7sec. Prototype def-par.txt line would be: snfs,187,5,0,0,0,0,0,0,0,0,9200000,9200000,28,28,54,54,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved) [ 0.153503] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732) [ 0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 17, 2022 16:14:23 UTC 2022 年 4 月 18 日 (月) 1 時 14 分 23 秒 (日本時間)

## 25×10191-529

### c181

name 名前 Bob Backstrom April 20, 2022 21:42:00 UTC 2022 年 4 月 21 日 (木) 6 時 42 分 0 秒 (日本時間) `1401889042217201152323034972066887746738524254393860640893448066028338861853341960410728817827193990226484962624900258603380508544569329177435097986774036049520631595504138655620323<181>` ```12845346379224363731554496685213784427605087<44> 109135947044960180438688484848924823964116943082073051013901182937336927508429874732666257088019277388210665820675632098642963127441874429<138>``` ```Number: n N=1401889042217201152323034972066887746738524254393860640893448066028338861853341960410728817827193990226484962624900258603380508544569329177435097986774036049520631595504138655620323 ( 181 digits) SNFS difficulty: 192 digits. Divisors found: Thu Apr 21 07:36:57 2022 p44 factor: 12845346379224363731554496685213784427605087 Thu Apr 21 07:36:57 2022 p138 factor: 109135947044960180438688484848924823964116943082073051013901182937336927508429874732666257088019277388210665820675632098642963127441874429 Thu Apr 21 07:36:57 2022 elapsed time 00:37:56 (Msieve 1.54 - dependency 5) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.324). Factorization parameters were as follows: # # N = 25x10^191-52 = 27(190)2 # n: 1401889042217201152323034972066887746738524254393860640893448066028338861853341960410728817827193990226484962624900258603380508544569329177435097986774036049520631595504138655620323 m: 100000000000000000000000000000000000000 deg: 5 c5: 125 c0: -26 skew: 0.73 # Murphy_E = 4.134e-11 type: snfs lss: 1 rlim: 11100000 alim: 11100000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 11100000/11100000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved special-q in [100000, 18350000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3280115 hash collisions in 30796961 relations (29433570 unique) Msieve: matrix is 1159418 x 1159643 (404.4 MB) Sieving start time : 2022/04/21 02:37:55 Sieving end time : 2022/04/21 06:57:49 Total sieving time: 4hrs 19min 54secs. Total relation processing time: 0hrs 23min 3sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 6min 58sec. Prototype def-par.txt line would be: snfs,192,5,0,0,0,0,0,0,0,0,11100000,11100000,28,28,55,55,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved) [ 0.153503] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732) [ 0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)

## 25×10192-529

### c158

name 名前 Bob Backstrom April 21, 2022 18:17:26 UTC 2022 年 4 月 22 日 (金) 3 時 17 分 26 秒 (日本時間) `16618790805789228162547889907159442178493431966080135983093176747661261012176809885855070421616490254337565994261282078182776876630589596386928262977243901457<158>` ```76918648282603138465466565754975978589679313163099487437<56> 216056719363176029614584529897519211935072119333474710222653707125288749628513397915083869738765989461<102>``` ```Number: n N=16618790805789228162547889907159442178493431966080135983093176747661261012176809885855070421616490254337565994261282078182776876630589596386928262977243901457 ( 158 digits) SNFS difficulty: 193 digits. Divisors found: Fri Apr 22 04:11:54 2022 p56 factor: 76918648282603138465466565754975978589679313163099487437 Fri Apr 22 04:11:54 2022 p102 factor: 216056719363176029614584529897519211935072119333474710222653707125288749628513397915083869738765989461 Fri Apr 22 04:11:54 2022 elapsed time 00:35:08 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.327). Factorization parameters were as follows: # # N = 25x10^192-52 = 27(191)2 # n: 16618790805789228162547889907159442178493431966080135983093176747661261012176809885855070421616490254337565994261282078182776876630589596386928262977243901457 m: 500000000000000000000000000000000000000 deg: 5 c5: 1 c0: -65 skew: 2.30 # Murphy_E = 4.041e-11 type: snfs lss: 1 rlim: 11700000 alim: 11700000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 11700000/11700000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved special-q in [100000, 18650000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3220105 hash collisions in 30691130 relations (29394561 unique) Msieve: matrix is 1225992 x 1226218 (425.3 MB) Sieving start time : 2022/04/21 21:56:03 Sieving end time : 2022/04/22 03:35:50 Total sieving time: 5hrs 39min 47secs. Total relation processing time: 0hrs 25min 59sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 12sec. Prototype def-par.txt line would be: snfs,193,5,0,0,0,0,0,0,0,0,11700000,11700000,28,28,55,55,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved) [ 0.153503] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732) [ 0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 20, 2022 19:02:24 UTC 2022 年 4 月 21 日 (木) 4 時 2 分 24 秒 (日本時間)

## 25×10193-529

### c156

name 名前 Bob Backstrom April 21, 2022 23:29:21 UTC 2022 年 4 月 22 日 (金) 8 時 29 分 21 秒 (日本時間) `203710534194491079272330546982710237480583733461317480737946027890406847740226525759809562270314378587804654937719746469263189525824283224542624784831804767<156>` ```58722110390910333871944610807853259434487667777588746863<56> 3469060168961905667244712756251059011544775596751318888681961599745706476703632278563050116345941009<100>``` ```Number: n N=203710534194491079272330546982710237480583733461317480737946027890406847740226525759809562270314378587804654937719746469263189525824283224542624784831804767 ( 156 digits) SNFS difficulty: 193 digits. Divisors found: Fri Apr 22 09:25:36 2022 p56 factor: 58722110390910333871944610807853259434487667777588746863 Fri Apr 22 09:25:36 2022 p100 factor: 3469060168961905667244712756251059011544775596751318888681961599745706476703632278563050116345941009 Fri Apr 22 09:25:36 2022 elapsed time 00:36:01 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.318). Factorization parameters were as follows: # # N = 25x10^193-52 = 27(192)2 # n: 203710534194491079272330546982710237480583733461317480737946027890406847740226525759809562270314378587804654937719746469263189525824283224542624784831804767 m: 500000000000000000000000000000000000000 deg: 5 c5: 2 c0: -13 skew: 1.45 # Murphy_E = 4.041e-11 type: snfs lss: 1 rlim: 11900000 alim: 11900000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 11900000/11900000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved special-q in [100000, 18750000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3243629 hash collisions in 30493994 relations (29139222 unique) Msieve: matrix is 1234245 x 1234470 (429.5 MB) Sieving start time : 2022/04/22 04:14:06 Sieving end time : 2022/04/22 08:49:05 Total sieving time: 4hrs 34min 59secs. Total relation processing time: 0hrs 26min 54sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 11sec. Prototype def-par.txt line would be: snfs,193,5,0,0,0,0,0,0,0,0,11900000,11900000,28,28,55,55,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved) [ 0.153503] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732) [ 0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 20, 2022 19:02:55 UTC 2022 年 4 月 21 日 (木) 4 時 2 分 55 秒 (日本時間)

## 25×10194-529

### c184

name 名前 Bob Backstrom April 21, 2022 00:09:08 UTC 2022 年 4 月 21 日 (木) 9 時 9 分 8 秒 (日本時間) `2005348975778784478679137580969252907356089737277111719194094940954082334418419960378608262968161384620865030021744591019643760836877649848462115284444472092078473963902440062908241563<184>` ```35174906523884496909485592754879940129861<41> 57010783366747843368075365866548021346797371764050696226442413772436320289904332663969019029339252971994941391728437215716222958461111838457183<143>``` ```GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 2005348975778784478679137580969252907356089737277111719194094940954082334418419960378608262968161384620865030021744591019643760836877649848462115284444472092078473963902440062908241563 (184 digits) Using B1=11530000, B2=35134040770, polynomial Dickson(12), sigma=1:3724478039 Step 1 took 32015ms Step 2 took 13235ms ********** Factor found in step 2: 35174906523884496909485592754879940129861 Found prime factor of 41 digits: 35174906523884496909485592754879940129861 Prime cofactor 57010783366747843368075365866548021346797371764050696226442413772436320289904332663969019029339252971994941391728437215716222958461111838457183 has 143 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 20, 2022 19:32:36 UTC 2022 年 4 月 21 日 (木) 4 時 32 分 36 秒 (日本時間)

## 25×10195-529

### c148

name 名前 Bob Backstrom May 7, 2022 12:35:32 UTC 2022 年 5 月 7 日 (土) 21 時 35 分 32 秒 (日本時間) `7004939908335313553013407658465290556415933825406811028964909743080260077920637828318566862107680675413262866980029798173557427309896074256695237837<148>` ```19838581596339948429577926846087836758981636949159118939418000229<65> 353096811600062480919565501535725144402999492916971058380689801653192874046498433353<84>``` ```Number: n N=7004939908335313553013407658465290556415933825406811028964909743080260077920637828318566862107680675413262866980029798173557427309896074256695237837 ( 148 digits) SNFS difficulty: 196 digits. Divisors found: Sat May 7 22:29:24 2022 p65 factor: 19838581596339948429577926846087836758981636949159118939418000229 Sat May 7 22:29:24 2022 p84 factor: 353096811600062480919565501535725144402999492916971058380689801653192874046498433353 Sat May 7 22:29:24 2022 elapsed time 00:47:43 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.347). Factorization parameters were as follows: # # N = 25x10^195-52 = 27(194)2 # n: 7004939908335313553013407658465290556415933825406811028964909743080260077920637828318566862107680675413262866980029798173557427309896074256695237837 m: 1000000000000000000000000000000000000000 deg: 5 c5: 25 c0: -52 skew: 1.16 # Murphy_E = 2.65e-11 type: snfs lss: 1 rlim: 13100000 alim: 13100000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 13100000/13100000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved special-q in [100000, 19350000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3261701 hash collisions in 29235968 relations (27714587 unique) Msieve: matrix is 1423454 x 1423681 (497.1 MB) Sieving start time : 2022/05/07 16:58:53 Sieving end time : 2022/05/07 21:41:10 Total sieving time: 4hrs 42min 17secs. Total relation processing time: 0hrs 37min 47sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 35sec. Prototype def-par.txt line would be: snfs,196,5,0,0,0,0,0,0,0,0,13100000,13100000,28,28,55,55,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.118092] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved) [ 0.154093] x86/mm: Memory block size: 128MB [ 0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798652) [ 0.152020] smpboot: Total of 16 processors activated (102389.21 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 22, 2022 16:24:11 UTC 2022 年 4 月 23 日 (土) 1 時 24 分 11 秒 (日本時間)

## 25×10196-529

### c120

name 名前 Florian Piesker April 15, 2022 16:44:26 UTC 2022 年 4 月 16 日 (土) 1 時 44 分 26 秒 (日本時間) `323531947470807699266799753823977092940270918892782164063828949149991514587277864971859309660337352195030396214625574893<120>` ```19689553288162691155885377182307427325439021122929485421819<59> 16431655037360054012194502868410901455216476195252166961582647<62>``` ```04/15/22 18:10:10, ===================================== 04/15/22 18:10:10, System/Build Info: 04/15/22 18:10:10, YAFU Version 2.08 04/15/22 18:10:10, Built with GCC 9 04/15/22 18:10:10, Using GMP-ECM 7.0.5-dev, Powered by GMP 6.1.2 04/15/22 18:10:10, detected Intel(R) Xeon(R) Platinum 8375C CPU @ 2.90GHz detected L1 = 49152 bytes, L2 = 56623104 bytes, CL = 64 bytes 04/15/22 18:10:10, using 20 random witnesses for Rabin-Miller PRP checks 04/15/22 18:10:10, Cached 664579 primes: max prime is 9999991 04/15/22 18:10:10, Parsed yafu.ini from /home/florian/Math/yafu 04/15/22 18:10:10, Random seed: 7001439552075623230 04/15/22 18:10:19, nfs: commencing poly selection with 64 threads 04/15/22 18:10:19, nfs: setting deadline of 1 seconds 04/15/22 18:10:19, nfs: expecting degree 5 poly E from 2.87e-10 to > 3.30e-10 04/15/22 18:10:19, nfs: searching for good quality poly E > 3.08e-10 04/15/22 18:11:15, nfs: completed 82 ranges of size 250 in 56.0217 seconds 04/15/22 18:11:15, nfs: best poly = # norm 1.984460e-11 alpha -4.829852 e 2.937e-10 rroots 5 n: 323531947470807699266799753823977092940270918892782164063828949149991514587277864971859309660337352195030396214625574893 skew: 13180.33 c0: 6508995454651040345379763 c1: 463780164416127714838 c2: -2976832791566634153 c3: 7268934034886 c4: 16001727194 c5: 14952 Y0: -116691707663423107015002 Y1: 4495898370671 rlim: 5500000 alim: 5500000 lpbr: 27 lpba: 27 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 04/15/22 18:11:15, nfs: commencing lattice sieving with 64 threads 04/15/22 18:13:37, nfs: commencing lattice sieving with 64 threads 04/15/22 18:16:05, nfs: commencing lattice sieving with 64 threads 04/15/22 18:18:32, nfs: commencing lattice sieving with 64 threads 04/15/22 18:21:03, nfs: commencing lattice sieving with 64 threads 04/15/22 18:23:34, nfs: commencing lattice sieving with 64 threads 04/15/22 18:26:07, nfs: commencing msieve filtering 04/15/22 18:27:49, nfs: raising min_rels by 5.00 percent to 10910523 04/15/22 18:27:49, nfs: commencing lattice sieving with 64 threads 04/15/22 18:30:25, nfs: commencing msieve filtering 04/15/22 18:32:43, nfs: commencing msieve linear algebra 04/15/22 18:36:42, nfs: commencing msieve sqrt 04/15/22 18:38:55, p59 = 19689553288162691155885377182307427325439021122929485421819 04/15/22 18:38:55, p62 = 16431655037360054012194502868410901455216476195252166961582647 04/15/22 18:38:55, NFS elapsed time = 1716.6118 seconds.```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 14, 2022 18:31:04 UTC 2022 年 4 月 15 日 (金) 3 時 31 分 4 秒 (日本時間)

## 25×10197-529

### c158

name 名前 Bob Backstrom May 7, 2022 07:00:52 UTC 2022 年 5 月 7 日 (土) 16 時 0 分 52 秒 (日本時間) `22473397681750699677635242359793132470033463339949617076771574601817109440496647975182484380436228589946921511062204829841770687188382155501056632692004089991<158>` ```292229007417670201490281026158031093669668403476821<51> 76903377526894345880914317178116066352413521480227478075448553648892636749890983323395526216375159777841771<107>``` ```Number: n N=22473397681750699677635242359793132470033463339949617076771574601817109440496647975182484380436228589946921511062204829841770687188382155501056632692004089991 ( 158 digits) SNFS difficulty: 198 digits. Divisors found: Sat May 7 16:55:45 2022 p51 factor: 292229007417670201490281026158031093669668403476821 Sat May 7 16:55:45 2022 p107 factor: 76903377526894345880914317178116066352413521480227478075448553648892636749890983323395526216375159777841771 Sat May 7 16:55:45 2022 elapsed time 00:54:46 (Msieve 1.54 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.340). Factorization parameters were as follows: # # N = 25x10^197-52 = 27(196)2 # n: 22473397681750699677635242359793132470033463339949617076771574601817109440496647975182484380436228589946921511062204829841770687188382155501056632692004089991 m: 5000000000000000000000000000000000000000 deg: 5 c5: 1 c0: -65 skew: 2.30 # Murphy_E = 2.503e-11 type: snfs lss: 1 rlim: 14200000 alim: 14200000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 14200000/14200000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved special-q in [100000, 19900000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3275596 hash collisions in 29113731 relations (27561750 unique) Msieve: matrix is 1511510 x 1511735 (525.4 MB) Sieving start time : 2022/05/07 11:24:11 Sieving end time : 2022/05/07 16:00:28 Total sieving time: 4hrs 36min 17secs. Total relation processing time: 0hrs 43min 16sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 3min 3sec. Prototype def-par.txt line would be: snfs,198,5,0,0,0,0,0,0,0,0,14200000,14200000,28,28,55,55,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.118092] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved) [ 0.154093] x86/mm: Memory block size: 128MB [ 0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798652) [ 0.152020] smpboot: Total of 16 processors activated (102389.21 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62078Taiyo KodamaApril 25, 2022 12:31:24 UTC 2022 年 4 月 25 日 (月) 21 時 31 分 24 秒 (日本時間)

## 25×10198-529

### c172

name 名前 Bob Backstrom August 23, 2022 02:38:43 UTC 2022 年 8 月 23 日 (火) 11 時 38 分 43 秒 (日本時間) `3365192032826559065875583385871384360407241530494593064039054624351942158742908961461486669498681542699403708640595089891159874749777573395088441705440664444657700933908909<172>` ```413683270269291708312621385101862902088417777<45> 214664205456475321952107670232752525300574104569565929687<57> 37895030482731396631667205976032676597409996370002162066353197750098891<71>``` ```Number: n N=3365192032826559065875583385871384360407241530494593064039054624351942158742908961461486669498681542699403708640595089891159874749777573395088441705440664444657700933908909 ( 172 digits) SNFS difficulty: 198 digits. Divisors found: Tue Aug 23 12:21:05 2022 found factor: 214664205456475321952107670232752525300574104569565929687 Tue Aug 23 12:22:45 2022 p45 factor: 413683270269291708312621385101862902088417777 Tue Aug 23 12:22:45 2022 p57 factor: 214664205456475321952107670232752525300574104569565929687 Tue Aug 23 12:22:45 2022 p71 factor: 37895030482731396631667205976032676597409996370002162066353197750098891 Tue Aug 23 12:22:45 2022 elapsed time 01:00:27 (Msieve 1.54 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.357). Factorization parameters were as follows: # # N = 25x10^198-52 = 27(197)2 # n: 3365192032826559065875583385871384360407241530494593064039054624351942158742908961461486669498681542699403708640595089891159874749777573395088441705440664444657700933908909 m: 5000000000000000000000000000000000000000 deg: 5 c5: 2 c0: -13 skew: 1.45 # Murphy_E = 2.502e-11 type: snfs lss: 1 rlim: 14400000 alim: 14400000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 14400000/14400000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved special-q in [100000, 20000000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3193368 hash collisions in 28651299 relations (27155751 unique) Msieve: matrix is 1581590 x 1581815 (551.9 MB) Sieving start time : 2022/08/23 05:27:08 Sieving end time : 2022/08/23 11:21:16 Total sieving time: 5hrs 54min 8secs. Total relation processing time: 0hrs 47min 5sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 5min 1sec. Prototype def-par.txt line would be: snfs,198,5,0,0,0,0,0,0,0,0,14400000,14400000,28,28,55,55,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ----------```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62078Taiyo KodamaApril 25, 2022 12:31:15 UTC 2022 年 4 月 25 日 (月) 21 時 31 分 15 秒 (日本時間)

## 25×10201-529

### c153

composite cofactor 合成数の残り `283575100522772977587734951053186222645490202316942104732534975762612351929789089857619170717015927303691137511760482013811352674282297891658269882144593<153>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62078Taiyo KodamaMay 12, 2022 09:39:39 UTC 2022 年 5 月 12 日 (木) 18 時 39 分 39 秒 (日本時間)
4511e64480Ignacio SantosOctober 21, 2023 13:56:23 UTC 2023 年 10 月 21 日 (土) 22 時 56 分 23 秒 (日本時間)
5043e66463Bob BackstromJuly 15, 2024 01:18:00 UTC 2024 年 7 月 15 日 (月) 10 時 18 分 0 秒 (日本時間)

## 25×10202-529

### c194

name 名前 Bob Backstrom July 15, 2023 22:52:42 UTC 2023 年 7 月 16 日 (日) 7 時 52 分 42 秒 (日本時間) `33774952510025504266431195695675523224960518661183557654706141601211713870964508081837349764492146760715610443193051651191310368113277658669191852882476064054574633933000806118410140442159100381<194>` ```47836912236757075784732202207051536263574923269241316697647328071<65> 706043741762943489967038242197704030402118994442648574164173020745668564848736068695797773848233705487921632147032634212197319611<129>``` ```Number: n N=33774952510025504266431195695675523224960518661183557654706141601211713870964508081837349764492146760715610443193051651191310368113277658669191852882476064054574633933000806118410140442159100381 ( 194 digits) SNFS difficulty: 203 digits. Divisors found: Sun Jul 16 07:42:52 2023 prp65 factor: 47836912236757075784732202207051536263574923269241316697647328071 Sun Jul 16 07:42:52 2023 prp129 factor: 706043741762943489967038242197704030402118994442648574164173020745668564848736068695797773848233705487921632147032634212197319611 Sun Jul 16 07:42:52 2023 elapsed time 02:05:14 (Msieve 1.44 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.089). Factorization parameters were as follows: # # N = 25x10^202-52 = 27(201)2 # n: 33774952510025504266431195695675523224960518661183557654706141601211713870964508081837349764492146760715610443193051651191310368113277658669191852882476064054574633933000806118410140442159100381 m: 50000000000000000000000000000000000000000 deg: 5 c5: 1 c0: -65 skew: 2.30 # Murphy_E = 1.544e-11 type: snfs lss: 1 rlim: 17200000 alim: 17200000 lpbr: 27 lpba: 27 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 17200000/17200000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 56/56 Sieved special-q in [100000, 27000000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 2524318 hash collisions in 16649849 relations (14955279 unique) Msieve: matrix is 2009425 x 2009653 (566.0 MB) Sieving start time: 2023/07/15 20:44:35 Sieving end time : 2023/07/16 05:33:12 Total sieving time: 8hrs 48min 37secs. Total relation processing time: 1hrs 59min 6sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 40sec. Prototype def-par.txt line would be: snfs,203,5,0,0,0,0,0,0,0,0,17200000,17200000,27,27,56,56,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ----------```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 6, 2022 22:16:33 UTC 2022 年 6 月 7 日 (火) 7 時 16 分 33 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovSeptember 19, 2022 10:32:22 UTC 2022 年 9 月 19 日 (月) 19 時 32 分 22 秒 (日本時間)

## 25×10205-529

### c154

name 名前 Dmitry Domanov November 22, 2023 06:56:38 UTC 2023 年 11 月 22 日 (水) 15 時 56 分 38 秒 (日本時間) `3441581020687068773599990962171559328778202316848500062576452931002140055478442837957991501779647575424210245521868541384915845010820851571409011684962971<154>` ```24978238868588450842177629100660677368347<41> 137783173537308577118618630000631319873662459439933756077070704874386053170105515355293912811730313013969155576193<114>``` ```Resuming ECM residue saved by @8073ca6b4746 with GMP-ECM 7.0.5-dev on Fri Nov 17 08:26:37 2023 Input number is 3441581020687068773599990962171559328778202316848500062576452931002140055478442837957991501779647575424210245521868541384915845010820851571409011684962971 (154 digits) Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2329071965 Step 1 took 0ms Step 2 took 10940ms ********** Factor found in step 2: 24978238868588450842177629100660677368347 Found prime factor of 41 digits: 24978238868588450842177629100660677368347 Prime cofactor 137783173537308577118618630000631319873662459439933756077070704874386053170105515355293912811730313013969155576193 has 114 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 18, 2022 10:22:51 UTC 2022 年 5 月 18 日 (水) 19 時 22 分 51 秒 (日本時間)
4511e62992 / 42131200Dmitry DomanovSeptember 16, 2022 07:26:11 UTC 2022 年 9 月 16 日 (金) 16 時 26 分 11 秒 (日本時間)
1792Dmitry DomanovNovember 16, 2023 22:20:35 UTC 2023 年 11 月 17 日 (金) 7 時 20 分 35 秒 (日本時間)

## 25×10206-529

### c158

name 名前 Bob Backstrom June 3, 2024 03:37:50 UTC 2024 年 6 月 3 日 (月) 12 時 37 分 50 秒 (日本時間) `12333170117252326819481408734425257687384873508863001904521708147775211056158168317794212642911603827462170945884533039807507192850377983736455137341446713293<158>` ```225973167946744851093599973005664738096860772398880540458096501<63> 54578029016962261120300598852841318669210861316565517386937199958730779030108529679855034188793<95>``` ```Number: n N=12333170117252326819481408734425257687384873508863001904521708147775211056158168317794212642911603827462170945884533039807507192850377983736455137341446713293 ( 158 digits) SNFS difficulty: 207 digits. Divisors found: Mon Jun 3 04:25:07 2024 prp63 factor: 225973167946744851093599973005664738096860772398880540458096501 Mon Jun 3 04:25:07 2024 prp95 factor: 54578029016962261120300598852841318669210861316565517386937199958730779030108529679855034188793 Mon Jun 3 04:25:07 2024 elapsed time 02:07:30 (Msieve 1.44 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=1.952). Factorization parameters were as follows: # # N = 25x10^206-52 = 27(205)2 # n: 12333170117252326819481408734425257687384873508863001904521708147775211056158168317794212642911603827462170945884533039807507192850377983736455137341446713293 m: 100000000000000000000000000000000000000000 deg: 5 c5: 125 c0: -26 skew: 0.73 # Murphy_E = 9.754e-12 type: snfs lss: 1 rlim: 19800000 alim: 19800000 lpbr: 27 lpba: 27 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 19800000/19800000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 56/56 Sieved special-q in [100000, 35500000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 4614667 hash collisions in 23387063 relations (19091520 unique) Msieve: matrix is 2002554 x 2002779 (563.9 MB) Sieving start time: 2024/06/02 11:04:54 Sieving end time : 2024/06/03 02:17:12 Total sieving time: 15hrs 12min 18secs. Total relation processing time: 1hrs 58min 42sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 2min 27sec. Prototype def-par.txt line would be: snfs,207,5,0,0,0,0,0,0,0,0,19800000,19800000,27,27,56,56,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ----------```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 18, 2022 10:23:00 UTC 2022 年 5 月 18 日 (水) 19 時 23 分 0 秒 (日本時間)
4511e674721200Dmitry DomanovSeptember 16, 2022 07:26:35 UTC 2022 年 9 月 16 日 (金) 16 時 26 分 35 秒 (日本時間)
1792Dmitry DomanovNovember 16, 2023 22:20:58 UTC 2023 年 11 月 17 日 (金) 7 時 20 分 58 秒 (日本時間)
4480Ignacio SantosMay 29, 2024 09:22:40 UTC 2024 年 5 月 29 日 (水) 18 時 22 分 40 秒 (日本時間)

## 25×10207-529

### c159

composite cofactor 合成数の残り `238507324311737548353777743986747400425461877013731623434805274269045975033477692269205145554096153615991012285540372814545410792292862237121169584891939572619<159>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 18, 2022 10:23:10 UTC 2022 年 5 月 18 日 (水) 19 時 23 分 10 秒 (日本時間)
4511e62992 / 42131200Dmitry DomanovSeptember 16, 2022 07:26:35 UTC 2022 年 9 月 16 日 (金) 16 時 26 分 35 秒 (日本時間)
1792Dmitry DomanovNovember 16, 2023 22:21:08 UTC 2023 年 11 月 17 日 (金) 7 時 21 分 8 秒 (日本時間)

## 25×10208-529

### c186

name 名前 Dmitry Domanov November 22, 2023 06:57:00 UTC 2023 年 11 月 22 日 (水) 15 時 57 分 0 秒 (日本時間) `260943482573603243383026633009355073516280871366340788265456667589051644868707060957279424762460181398837434677439138191434433460346402441796233358894356389377937691354776762509153029783<186>` `626045447685878022958717616000372542529489598311<48>` `416812363284738981111924103826582166779257039729826644371938343515020450997775426825131647496940607057524650340765383138771558785313366353<138>` ```Resuming ECM residue saved by @8073ca6b4746 with GMP-ECM 7.0.5-dev on Fri Nov 17 06:26:51 2023 Input number is 260943482573603243383026633009355073516280871366340788265456667589051644868707060957279424762460181398837434677439138191434433460346402441796233358894356389377937691354776762509153029783 (186 digits) Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3542895738 Step 1 took 0ms Step 2 took 17098ms ********** Factor found in step 2: 626045447685878022958717616000372542529489598311 Found prime factor of 48 digits: 626045447685878022958717616000372542529489598311 Composite cofactor 416812363284738981111924103826582166779257039729826644371938343515020450997775426825131647496940607057524650340765383138771558785313366353 has 138 digits```

### c138

name 名前 Eric Jeancolas November 29, 2023 18:28:11 UTC 2023 年 11 月 30 日 (木) 3 時 28 分 11 秒 (日本時間) `416812363284738981111924103826582166779257039729826644371938343515020450997775426825131647496940607057524650340765383138771558785313366353<138>` ```231307906418262685214704637236103847871361822690775941986594129<63> 1801980614233902280441764597081282389198365914125064805680223455339639469057<76>``` ```416812363284738981111924103826582166779257039729826644371938343515020450997775426825131647496940607057524650340765383138771558785313366353=231307906418262685214704637236103847871361822690775941986594129*1801980614233902280441764597081282389198365914125064805680223455339639469057 cado polynomial n: 416812363284738981111924103826582166779257039729826644371938343515020450997775426825131647496940607057524650340765383138771558785313366353 skew: 181869.33 c0: -24387238096752486191574825686820 c1: -2115152940183041361970931107 c2: 3070010243339942834094 c3: 31273288772934037 c4: -46138103244 c5: 534240 Y0: -393023388399549581692586183 Y1: 7494722451618869909 # MurphyE (Bf=5.369e+08,Bg=2.684e+08,area=2.023e+14) = 3.266e-07 # f(x) = 534240*x^5-46138103244*x^4+31273288772934037*x^3+3070010243339942834094*x^2-2115152940183041361970931107*x-24387238096752486191574825686820 # g(x) = 7494722451618869909*x-393023388399549581692586183 cado parameters (extracts) tasks.lim0 = 9457107 tasks.lim1 = 12662444 tasks.lpb0 = 28 tasks.lpb1 = 29 tasks.sieve.mfb0 = 58 tasks.sieve.mfb1 = 58 tasks.I = 13 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 231307906418262685214704637236103847871361822690775941986594129 1801980614233902280441764597081282389198365914125064805680223455339639469057 Info:Complete Factorization / Discrete logarithm: Square Root Info:Square Root: Total cpu/real time for sqrt: 884.19/187.08 Info:HTTP server: Got notification to stop serving Workunits Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 9537.42 Info:Polynomial Selection (root optimized): Rootsieve time: 9533.2 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 32851663 Info:Lattice Sieving: Average J: 3786.67 for 610717 special-q, max bucket fill -bkmult 1.0,1s:1.077840 Info:Lattice Sieving: Total time: 365469s Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 69931.3 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 48023/41.210/49.513/54.470/0.967 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 39467/40.080/44.017/50.150/0.884 Info:Polynomial Selection (size optimized): Total time: 35877.4 Info:Square Root: Total cpu/real time for sqrt: 884.19/187.08 Info:Generate Factor Base: Total cpu/real time for makefb: 14.75/2.07581 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 277.66/227.705 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 227.5s Info:Quadratic Characters: Total cpu/real time for characters: 72.25/18.2003 Info:Generate Free Relations: Total cpu/real time for freerel: 730.75/92.4706 Info:Filtering - Singleton removal: Total cpu/real time for purge: 296.87/238.111 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 630.54/461.333 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 402.5s Info:Filtering - Merging: Merged matrix has 1494384 rows and total weight 254751590 (170.5 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 754.44/105.615 Info:Filtering - Merging: Total cpu/real time for replay: 54.41/46.9614 Info:Linear Algebra: Total cpu/real time for bwc: 30570.5/8026.26 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 19493.13, WCT time 5085.09, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (46848 iterations) Info:Linear Algebra: Lingen CPU time 198.61, WCT time 68.68 Info:Linear Algebra: Mksol: CPU time 10612.93, WCT time 2771.11, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (23552 iterations) Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 758222/107443 Info:root: Cleaning up computation data in /tmp/cado.5shfvkzw 231307906418262685214704637236103847871361822690775941986594129 1801980614233902280441764597081282389198365914125064805680223455339639469057``` `cado-nfs-3.0.0` ```Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)] Intel(R) Core(TM) i7-8550U CPU @ 1.80GHz (8 processeurs)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 6, 2022 22:16:57 UTC 2022 年 6 月 7 日 (火) 7 時 16 分 57 秒 (日本時間)
4511e674721200Dmitry DomanovSeptember 19, 2022 10:32:22 UTC 2022 年 9 月 19 日 (月) 19 時 32 分 22 秒 (日本時間)
1792Dmitry DomanovNovember 16, 2023 22:21:16 UTC 2023 年 11 月 17 日 (金) 7 時 21 分 16 秒 (日本時間)
4480Ignacio SantosNovember 27, 2023 11:22:16 UTC 2023 年 11 月 27 日 (月) 20 時 22 分 16 秒 (日本時間)
5043e66454Ignacio SantosNovember 29, 2023 09:24:01 UTC 2023 年 11 月 29 日 (水) 18 時 24 分 1 秒 (日本時間)

## 25×10211-529

### c172

composite cofactor 合成数の残り `4933704535034901948712731407319539676427096317723162254503130474007789825489305402086479246329093306696280242260050056083316311502123792119822125684277837330630396468280993<172>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 18, 2022 10:23:21 UTC 2022 年 5 月 18 日 (水) 19 時 23 分 21 秒 (日本時間)
4511e62992 / 42131200Dmitry DomanovSeptember 16, 2022 07:26:39 UTC 2022 年 9 月 16 日 (金) 16 時 26 分 39 秒 (日本時間)
1792Dmitry DomanovNovember 16, 2023 22:21:25 UTC 2023 年 11 月 17 日 (金) 7 時 21 分 25 秒 (日本時間)

## 25×10212-529

### c195

composite cofactor 合成数の残り `500354485740224147383384736452304569206082017281824369683545999834531528902242288105780148862888419163779878030779294196374332145932405678322781654308618635608561143333025761901169429584910547137<195>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 6, 2022 22:17:07 UTC 2022 年 6 月 7 日 (火) 7 時 17 分 7 秒 (日本時間)
4511e62992 / 42131200Dmitry DomanovSeptember 19, 2022 10:33:00 UTC 2022 年 9 月 19 日 (月) 19 時 33 分 0 秒 (日本時間)
1792Dmitry DomanovNovember 16, 2023 22:21:35 UTC 2023 年 11 月 17 日 (金) 7 時 21 分 35 秒 (日本時間)

## 25×10213-529

### c189

composite cofactor 合成数の残り `235567399258976444431232364015571288609543102210788906095434844893723116326547079291374463013553048308383810965928452673280549160518509437076135826249507635069677251315063250622583668779161<189>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 6, 2022 22:17:19 UTC 2022 年 6 月 7 日 (火) 7 時 17 分 19 秒 (日本時間)
4511e62992 / 42131200Dmitry DomanovSeptember 19, 2022 10:32:46 UTC 2022 年 9 月 19 日 (月) 19 時 32 分 46 秒 (日本時間)
1792Dmitry DomanovNovember 16, 2023 22:21:44 UTC 2023 年 11 月 17 日 (金) 7 時 21 分 44 秒 (日本時間)

## 25×10214-529

### c207

composite cofactor 合成数の残り `196219796424378637599111835736691480998864502723984434539708653285801426589500986968308672539201803423811914013320573960548625401995104495031666092025219650088363739411709001621463072632038569314811051057493<207>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 23, 2022 22:32:43 UTC 2022 年 8 月 24 日 (水) 7 時 32 分 43 秒 (日本時間)
2350Ignacio SantosSeptember 27, 2022 10:38:07 UTC 2022 年 9 月 27 日 (火) 19 時 38 分 7 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 08:29:19 UTC 2023 年 11 月 17 日 (金) 17 時 29 分 19 秒 (日本時間)

## 25×10215-529

### c179

composite cofactor 合成数の残り `20223113903664354536040770806209397223607363863503555367684140695768904413202373646437900321912268740676138773927583469877404609686403510832509230640847935692807032686102985431157<179>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 18, 2022 10:23:30 UTC 2022 年 5 月 18 日 (水) 19 時 23 分 30 秒 (日本時間)
4511e62992 / 42131200Dmitry DomanovSeptember 16, 2022 07:26:46 UTC 2022 年 9 月 16 日 (金) 16 時 26 分 46 秒 (日本時間)
1792Dmitry DomanovNovember 16, 2023 22:21:52 UTC 2023 年 11 月 17 日 (金) 7 時 21 分 52 秒 (日本時間)

## 25×10216-529

### c196

composite cofactor 合成数の残り `3590371840339348492391417932409408937134461839406116758567484510160481743483087904455937023417102108104259786474450205138998815845326415905359252103288011280066920938948208220927601103973165905629<196>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 6, 2022 22:17:29 UTC 2022 年 6 月 7 日 (火) 7 時 17 分 29 秒 (日本時間)
2350Ignacio SantosSeptember 16, 2023 10:54:58 UTC 2023 年 9 月 16 日 (土) 19 時 54 分 58 秒 (日本時間)
4511e61792 / 3694Dmitry DomanovNovember 16, 2023 22:22:04 UTC 2023 年 11 月 17 日 (金) 7 時 22 分 4 秒 (日本時間)

## 25×10217-529

### c177

name 名前 Dmitry Domanov September 19, 2022 04:56:40 UTC 2022 年 9 月 19 日 (月) 13 時 56 分 40 秒 (日本時間) `757049903557286583404543193648167791221222329668698853375242349217977866379761632552137196962293462109555112203883576727772765935874894017705422324464270653717362732105250050603<177>` `5087820579446707756618498262291391124697<40>` `148796501711468475887921552741522685897149206623600057783251486891095647769866886106609946752739332052968208213715623412771562227095284899<138>` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2935520504 Step 1 took 31600ms Step 2 took 13854ms ********** Factor found in step 2: 5087820579446707756618498262291391124697 Found prime factor of 40 digits: 5087820579446707756618498262291391124697 Composite cofactor 148796501711468475887921552741522685897149206623600057783251486891095647769866886106609946752739332052968208213715623412771562227095284899 has 138 digits```

### c138

name 名前 Ignacio Santos October 5, 2022 14:00:59 UTC 2022 年 10 月 5 日 (水) 23 時 0 分 59 秒 (日本時間) `148796501711468475887921552741522685897149206623600057783251486891095647769866886106609946752739332052968208213715623412771562227095284899<138>` ```325390999569851866801370647153834700863434969054409<51> 457285241165763247030986193504975157293951116901709276396859462738448988833359793049611<87>``` ```10/05/22 09:16:39, nfs: commencing nfs on c138: 148796501711468475887921552741522685897149206623600057783251486891095647769866886106609946752739332052968208213715623412771562227095284899 10/05/22 09:16:39, nfs: input divides 10^219 - 208 10/05/22 09:16:39, nfs: commencing snfs on c138: 148796501711468475887921552741522685897149206623600057783251486891095647769866886106609946752739332052968208213715623412771562227095284899 10/05/22 09:16:39, gen: best 3 polynomials: n: 148796501711468475887921552741522685897149206623600057783251486891095647769866886106609946752739332052968208213715623412771562227095284899 # 10^219-208, difficulty: 219.70, anorm: 2.17e+28, rnorm: 1.91e+50 # scaled difficulty: 224.09, suggest sieving rational side # size = 7.306e-15, alpha = -0.273, combined = 3.539e-12, rroots = 1 type: snfs size: 219 skew: 2.3045 c5: 1 c0: -65 Y1: -1 Y0: 50000000000000000000000000000000000000000000 n: 148796501711468475887921552741522685897149206623600057783251486891095647769866886106609946752739332052968208213715623412771562227095284899 # 10^219-208, difficulty: 219.00, anorm: -4.58e+29, rnorm: 8.53e+49 # scaled difficulty: 223.05, suggest sieving rational side # size = 5.587e-15, alpha = -1.078, combined = 3.128e-12, rroots = 1 type: snfs size: 219 skew: 0.4609 c5: 625 c0: -13 Y1: -1 Y0: 10000000000000000000000000000000000000000000 n: 148796501711468475887921552741522685897149206623600057783251486891095647769866886106609946752739332052968208213715623412771562227095284899 # 10^219-208, difficulty: 219.00, anorm: 1.23e+36, rnorm: 6.60e+42 # scaled difficulty: 220.35, suggest sieving rational side # size = 7.243e-11, alpha = -0.167, combined = 2.662e-12, rroots = 2 type: snfs size: 219 skew: 0.7697 c6: 125 c0: -26 Y1: -1 Y0: 1000000000000000000000000000000000000 10/05/22 09:16:39, nfs: input snfs form is better done by gnfs: difficulty = 219.70, size = 155, actual size = 138 10/05/22 09:16:39, nfs: commencing poly selection with 46 threads 10/05/22 09:16:39, nfs: setting deadline of 3535 seconds 10/05/22 09:16:39, nfs: expecting degree 5 poly E from 2.36e-11 to > 2.72e-11 10/05/22 09:16:39, nfs: searching for avg quality poly E > 2.45e-11 10/05/22 09:23:20, nfs: completed 59 ranges of size 250 in 400.8256 seconds 10/05/22 09:23:20, nfs: best poly = # norm 3.301350e-13 alpha -6.827288 e 2.954e-11 rroots 3 10/05/22 09:23:20, nfs: commencing lattice sieving with 46 threads 10/05/22 09:29:18, nfs: commencing lattice sieving with 46 threads 10/05/22 09:35:41, nfs: commencing lattice sieving with 46 threads 10/05/22 09:41:19, nfs: commencing lattice sieving with 46 threads 10/05/22 09:47:06, nfs: commencing lattice sieving with 46 threads 10/05/22 09:53:09, nfs: commencing lattice sieving with 46 threads 10/05/22 09:59:24, nfs: commencing lattice sieving with 46 threads 10/05/22 10:05:55, nfs: commencing lattice sieving with 46 threads 10/05/22 10:11:53, nfs: commencing lattice sieving with 46 threads 10/05/22 10:17:50, nfs: commencing lattice sieving with 46 threads 10/05/22 10:23:39, nfs: commencing lattice sieving with 46 threads 10/05/22 10:29:42, nfs: commencing lattice sieving with 46 threads 10/05/22 10:35:46, nfs: commencing lattice sieving with 46 threads 10/05/22 10:41:48, nfs: commencing lattice sieving with 46 threads 10/05/22 10:48:05, nfs: commencing lattice sieving with 46 threads 10/05/22 10:54:20, nfs: commencing lattice sieving with 46 threads 10/05/22 11:00:42, nfs: commencing lattice sieving with 46 threads 10/05/22 11:07:14, nfs: commencing lattice sieving with 46 threads 10/05/22 11:13:00, nfs: commencing lattice sieving with 46 threads 10/05/22 11:18:59, nfs: commencing lattice sieving with 46 threads 10/05/22 11:25:08, nfs: commencing lattice sieving with 46 threads 10/05/22 11:31:28, nfs: commencing lattice sieving with 46 threads 10/05/22 11:37:21, nfs: commencing lattice sieving with 46 threads 10/05/22 11:43:21, nfs: commencing lattice sieving with 46 threads 10/05/22 11:49:23, nfs: commencing lattice sieving with 46 threads 10/05/22 11:55:29, nfs: commencing lattice sieving with 46 threads 10/05/22 12:01:27, nfs: commencing lattice sieving with 46 threads 10/05/22 12:07:22, nfs: commencing lattice sieving with 46 threads 10/05/22 12:13:20, nfs: commencing lattice sieving with 46 threads 10/05/22 12:19:24, nfs: commencing lattice sieving with 46 threads 10/05/22 12:25:49, nfs: commencing lattice sieving with 46 threads 10/05/22 12:31:47, nfs: commencing lattice sieving with 46 threads 10/05/22 12:37:54, nfs: commencing lattice sieving with 46 threads 10/05/22 12:43:56, nfs: commencing lattice sieving with 46 threads 10/05/22 12:50:06, nfs: commencing lattice sieving with 46 threads 10/05/22 12:56:57, nfs: commencing lattice sieving with 46 threads 10/05/22 13:03:27, nfs: commencing lattice sieving with 46 threads 10/05/22 13:09:54, nfs: commencing lattice sieving with 46 threads 10/05/22 13:15:52, nfs: commencing lattice sieving with 46 threads 10/05/22 13:21:56, nfs: commencing lattice sieving with 46 threads 10/05/22 13:28:03, nfs: commencing lattice sieving with 46 threads 10/05/22 13:34:00, nfs: commencing lattice sieving with 46 threads 10/05/22 13:39:54, nfs: commencing lattice sieving with 46 threads 10/05/22 13:45:59, nfs: commencing lattice sieving with 46 threads 10/05/22 13:52:16, nfs: commencing lattice sieving with 46 threads 10/05/22 13:58:08, nfs: commencing lattice sieving with 46 threads 10/05/22 14:04:04, nfs: commencing lattice sieving with 46 threads 10/05/22 14:09:54, nfs: commencing lattice sieving with 46 threads 10/05/22 14:16:07, nfs: commencing lattice sieving with 46 threads 10/05/22 14:22:28, nfs: commencing lattice sieving with 46 threads 10/05/22 14:28:44, nfs: commencing lattice sieving with 46 threads 10/05/22 14:35:26, nfs: commencing lattice sieving with 46 threads 10/05/22 14:41:49, nfs: commencing lattice sieving with 46 threads 10/05/22 14:48:24, nfs: commencing lattice sieving with 46 threads 10/05/22 14:54:09, nfs: commencing lattice sieving with 46 threads 10/05/22 15:00:22, nfs: commencing lattice sieving with 46 threads 10/05/22 15:06:37, nfs: commencing msieve filtering 10/05/22 15:12:32, nfs: commencing msieve linear algebra 10/05/22 15:49:58, nfs: commencing msieve sqrt 10/05/22 15:57:20, prp51 = 325390999569851866801370647153834700863434969054409 10/05/22 15:57:20, prp87 = 457285241165763247030986193504975157293951116901709276396859462738448988833359793049611 10/05/22 15:57:20, NFS elapsed time = 24040.7080 seconds. 10/05/22 15:57:20, 10/05/22 15:57:20, ``` `Yafu`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 18, 2022 10:23:41 UTC 2022 年 5 月 18 日 (水) 19 時 23 分 41 秒 (日本時間)
4511e656801200Dmitry DomanovSeptember 16, 2022 07:27:13 UTC 2022 年 9 月 16 日 (金) 16 時 27 分 13 秒 (日本時間)
4480Ignacio SantosSeptember 21, 2022 09:45:40 UTC 2022 年 9 月 21 日 (水) 18 時 45 分 40 秒 (日本時間)

## 25×10218-529

### c196

name 名前 Dmitry Domanov June 7, 2022 08:30:45 UTC 2022 年 6 月 7 日 (火) 17 時 30 分 45 秒 (日本時間) `6018546525535572467870617345836099439126910125405076886223608769461926043702477074434328901601227971846653208282512606161676649176930912849385624100128641980071142605363962219059304795559293760489<196>` ```2484462280872867709423375296646297963<37> 2422474501573464298498287044909713516320188798545195642828718328489969485860510537841457950069663829807050895266319094415445308914912545891213593458274662398203<160>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2668100531 Step 1 took 24984ms Step 2 took 10996ms ********** Factor found in step 2: 2484462280872867709423375296646297963 Found prime factor of 37 digits: 2484462280872867709423375296646297963 Prime cofactor 2422474501573464298498287044909713516320188798545195642828718328489969485860510537841457950069663829807050895266319094415445308914912545891213593458274662398203 has 160 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJune 6, 2022 22:17:41 UTC 2022 年 6 月 7 日 (火) 7 時 17 分 41 秒 (日本時間)

## 25×10219-529

### c206

name 名前 Ignacio Santos September 16, 2023 11:16:23 UTC 2023 年 9 月 16 日 (土) 20 時 16 分 23 秒 (日本時間) `99580884437513192071300769387868924942148058383550982497886758733875560881301210534803601518944313360881700620160631213393110055750834175896043046079403695555819684802571258106925912050427443295560246217447<206>` `638615983261282515189409780658046471697474907<45>` `155932339696500828348402902402780457408230581526571947292911392484448447150482500430948162535611918841273738940610937782834148354598029122816362936778326394309221<162>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3655525743 Step 1 took 6234ms ********** Factor found in step 2: 638615983261282515189409780658046471697474907 Found prime factor of 45 digits: 638615983261282515189409780658046471697474907 Composite cofactor 155932339696500828348402902402780457408230581526571947292911392484448447150482500430948162535611918841273738940610937782834148354598029122816362936778326394309221 has 162 digits``` `GMP-ECM`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 23, 2022 22:32:51 UTC 2022 年 8 月 24 日 (水) 7 時 32 分 51 秒 (日本時間)
2350Ignacio SantosSeptember 19, 2023 06:53:13 UTC 2023 年 9 月 19 日 (火) 15 時 53 分 13 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 16, 2023 22:22:13 UTC 2023 年 11 月 17 日 (金) 7 時 22 分 13 秒 (日本時間)

## 25×10220-529

### c176

name 名前 Dmitry Domanov September 19, 2022 11:36:43 UTC 2022 年 9 月 19 日 (月) 20 時 36 分 43 秒 (日本時間) `30201633236601441994123147599856645986962312623290133286259113300247023958110934947949415542262674894770976160616048654593076923256976720941581571380087059764413190018527888787<176>` ```94520827164289992331114416975107271877<38> 319523581655785927627187036212874760067533565015487346001259672602887001478341946024329805016511606605455942264904340375716481712959667831<138>``` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3143019381 Step 1 took 31868ms Step 2 took 13971ms ********** Factor found in step 2: 94520827164289992331114416975107271877 Found prime factor of 38 digits: 94520827164289992331114416975107271877 Prime cofactor 319523581655785927627187036212874760067533565015487346001259672602887001478341946024329805016511606605455942264904340375716481712959667831 has 138 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 18, 2022 10:23:50 UTC 2022 年 5 月 18 日 (水) 19 時 23 分 50 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovSeptember 16, 2022 07:27:13 UTC 2022 年 9 月 16 日 (金) 16 時 27 分 13 秒 (日本時間)

## 25×10221-529

### c139

name 名前 Ignacio Santos April 18, 2022 17:40:39 UTC 2022 年 4 月 19 日 (火) 2 時 40 分 39 秒 (日本時間) `2651287163107226408640278461741472297954542119951231268182870882468766082782233955556599571592331835898987530720987609439167002091889267079<139>` ```1235789835237995566301304425164160530767776685821<49> 2145419138033795338614570278350181209593697625968894650815126220762683973804912387594834899<91>``` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1876906132 Step 1 took 21516ms Step 2 took 10578ms ********** Factor found in step 2: 1235789835237995566301304425164160530767776685821 Found prime factor of 49 digits: 1235789835237995566301304425164160530767776685821 Prime cofactor 2145419138033795338614570278350181209593697625968894650815126220762683973804912387594834899 has 91 digits``` `GMP-ECM`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 14, 2022 19:25:51 UTC 2022 年 4 月 15 日 (金) 4 時 25 分 51 秒 (日本時間)

## 25×10223-529

### c197

name 名前 Dmitry Domanov June 7, 2022 05:22:15 UTC 2022 年 6 月 7 日 (火) 14 時 22 分 15 秒 (日本時間) `38474920746446290671833729729657594413025688419663756627452357634738380018845056783291995751576033658242484790425509828383936897687774688813739992122941020610404721252985996508502267741241448203667<197>` `629594240861134179817161950973001<33>` `61110661834869726594987982253609394431371980321392910928127700374632682018623589239772515957682413432316253888179638091403309930714988865252099750212129184873212667<164>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3268166902 Step 1 took 26164ms Step 2 took 11680ms ********** Factor found in step 2: 629594240861134179817161950973001 Found prime factor of 33 digits: 629594240861134179817161950973001 Composite cofactor 61110661834869726594987982253609394431371980321392910928127700374632682018623589239772515957682413432316253888179638091403309930714988865252099750212129184873212667 has 164 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 6, 2022 22:17:51 UTC 2022 年 6 月 7 日 (火) 7 時 17 分 51 秒 (日本時間)
4511e62992 / 42131200Dmitry DomanovSeptember 16, 2022 07:27:16 UTC 2022 年 9 月 16 日 (金) 16 時 27 分 16 秒 (日本時間)
1792Dmitry DomanovNovember 16, 2023 22:22:21 UTC 2023 年 11 月 17 日 (金) 7 時 22 分 21 秒 (日本時間)

## 25×10225-529

### c169

composite cofactor 合成数の残り `5638832504674524636159139447932352991507663299351438946831195439967971930067098327749511222851699743923095489130585604785982165019772767180642176649073685096524569568473<169>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 18, 2022 10:24:00 UTC 2022 年 5 月 18 日 (水) 19 時 24 分 0 秒 (日本時間)
4511e62992 / 42131200Dmitry DomanovSeptember 16, 2022 07:27:19 UTC 2022 年 9 月 16 日 (金) 16 時 27 分 19 秒 (日本時間)
1792Dmitry DomanovNovember 16, 2023 22:22:33 UTC 2023 年 11 月 17 日 (金) 7 時 22 分 33 秒 (日本時間)

## 25×10226-529

### c221

name 名前 Dmitry Domanov August 22, 2022 16:48:03 UTC 2022 年 8 月 23 日 (火) 1 時 48 分 3 秒 (日本時間) `65286356405009396012413808952274106595384411289421207724472773500215706121562151044425015224778313648191150094900247670321658043644712693025641347050780250302667548293623559913550418302742758176202130737756719010655777947<221>` `1479820362839690435853470984496422979407<40>` `44117757833612061561989922899852857630764357576001189880903430229403532694325659209486118222823870112843933330055489097140833571986994431322875908075567441212641591616628817043647221<182>` ```Resuming ECM residue saved by @52a2f9dfbb6a with GMP-ECM 7.0.5-dev on Mon Aug 22 10:10:35 2022 Input number is 65286356405009396012413808952274106595384411289421207724472773500215706121562151044425015224778313648191150094900247670321658043644712693025641347050780250302667548293623559913550418302742758176202130737756719010655777947 (221 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:137945600 Step 1 took 0ms Step 2 took 5605ms ********** Factor found in step 2: 1479820362839690435853470984496422979407 Found prime factor of 40 digits: 1479820362839690435853470984496422979407 Composite cofactor 44117757833612061561989922899852857630764357576001189880903430229403532694325659209486118222823870112843933330055489097140833571986994431322875908075567441212641591616628817043647221 has 182 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovAugust 22, 2022 09:32:31 UTC 2022 年 8 月 22 日 (月) 18 時 32 分 31 秒 (日本時間)
4511e62792 / 40381000Dmitry DomanovSeptember 19, 2022 10:33:03 UTC 2022 年 9 月 19 日 (月) 19 時 33 分 3 秒 (日本時間)
1792Dmitry DomanovNovember 16, 2023 22:22:41 UTC 2023 年 11 月 17 日 (金) 7 時 22 分 41 秒 (日本時間)

## 25×10228-529

### c227

composite cofactor 合成数の残り `25720164609053497942386831275720164609053497942386831275720164609053497942386831275720164609053497942386831275720164609053497942386831275720164609053497942386831275720164609053497942386831275720164609053497942386831275720164609<227>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 22, 2022 09:32:44 UTC 2022 年 8 月 22 日 (月) 18 時 32 分 44 秒 (日本時間)
2350Ignacio SantosSeptember 16, 2023 11:35:08 UTC 2023 年 9 月 16 日 (土) 20 時 35 分 8 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 08:29:29 UTC 2023 年 11 月 17 日 (金) 17 時 29 分 29 秒 (日本時間)

## 25×10230-529

### c226

composite cofactor 合成数の残り `2629774091886410589784695135549075792193147439862326066741562632803591640263734784127104345228327505753945713047466370448912956581377833318606598418769434030539040574258508897051707670104307359580582589633220147856418542221549<226>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 22, 2022 09:32:59 UTC 2022 年 8 月 22 日 (月) 18 時 32 分 59 秒 (日本時間)
2350Ignacio SantosSeptember 16, 2023 13:29:55 UTC 2023 年 9 月 16 日 (土) 22 時 29 分 55 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 08:29:38 UTC 2023 年 11 月 17 日 (金) 17 時 29 分 38 秒 (日本時間)

## 25×10231-529

### c191

composite cofactor 合成数の残り `10748145859506505347865695948269112020414342063316882964850846776683665488163951833896749734780315225878649859520375024379581524214444469144631010815759909320159279671514283488839728430530237<191>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 6, 2022 22:18:05 UTC 2022 年 6 月 7 日 (火) 7 時 18 分 5 秒 (日本時間)
4511e62992 / 42131200Dmitry DomanovSeptember 19, 2022 10:33:06 UTC 2022 年 9 月 19 日 (月) 19 時 33 分 6 秒 (日本時間)
1792Dmitry DomanovNovember 16, 2023 22:22:49 UTC 2023 年 11 月 17 日 (金) 7 時 22 分 49 秒 (日本時間)

## 25×10232-529

### c223

composite cofactor 合成数の残り `1562325936697589156751598020966059959934138354838532751163484579029857889870155238134715339819948290587596885862225198343643829485798785911300173257144414763603773720028813458808274803089983945850389766463728209133815389911<223>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 22, 2022 09:33:07 UTC 2022 年 8 月 22 日 (月) 18 時 33 分 7 秒 (日本時間)
2350Ignacio SantosSeptember 16, 2023 13:41:35 UTC 2023 年 9 月 16 日 (土) 22 時 41 分 35 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 08:29:47 UTC 2023 年 11 月 17 日 (金) 17 時 29 分 47 秒 (日本時間)

## 25×10233-529

### c230

composite cofactor 合成数の残り `65083827970425908570238467145683640529001353743621784858898260960116630219723003228157867333125065083827970425908570238467145683640529001353743621784858898260960116630219723003228157867333125065083827970425908570238467145683640529<230>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 22, 2022 09:33:14 UTC 2022 年 8 月 22 日 (月) 18 時 33 分 14 秒 (日本時間)
2350Ignacio SantosSeptember 16, 2023 13:51:25 UTC 2023 年 9 月 16 日 (土) 22 時 51 分 25 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 10:48:25 UTC 2023 年 11 月 17 日 (金) 19 時 48 分 25 秒 (日本時間)

## 25×10235-529

### c174

composite cofactor 合成数の残り `130029195735197007125119184522048392902306911688018113003896433880833609921392925113034609931758991761196816202869212310493413744562050130530154291481422463014180692696889469<174>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 18, 2022 10:24:11 UTC 2022 年 5 月 18 日 (水) 19 時 24 分 11 秒 (日本時間)
4511e62992 / 42131200Dmitry DomanovSeptember 16, 2022 07:27:24 UTC 2022 年 9 月 16 日 (金) 16 時 27 分 24 秒 (日本時間)
1792Dmitry DomanovNovember 16, 2023 22:22:57 UTC 2023 年 11 月 17 日 (金) 7 時 22 分 57 秒 (日本時間)

## 25×10238-529

### c173

composite cofactor 合成数の残り `85753913825529585959830503023050326568831252353862432490409681094995881981107698697115692530176771093687164186375938375621884568252046483633336865901179186621979665222464387<173>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 18, 2022 10:24:21 UTC 2022 年 5 月 18 日 (水) 19 時 24 分 21 秒 (日本時間)
4511e62992 / 42131200Dmitry DomanovSeptember 16, 2022 07:27:38 UTC 2022 年 9 月 16 日 (金) 16 時 27 分 38 秒 (日本時間)
1792Dmitry DomanovNovember 16, 2023 22:23:05 UTC 2023 年 11 月 17 日 (金) 7 時 23 分 5 秒 (日本時間)

## 25×10239-529

### c186

name 名前 Dmitry Domanov September 24, 2022 11:23:47 UTC 2022 年 9 月 24 日 (土) 20 時 23 分 47 秒 (日本時間) `440790618996140086881556984155989456535519880473128952409545814038734807577064928269156277737606638636694711366267301869306328784740216856065333043532649031819307600345387387735713125411<186>` ```11894671268301091502202754185577855000589<41> 37057822705099267260802059019583002856803094640191625404289822525621862816904792092866319449684730259780389229495308884310271337333985308562933999<146>``` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3193152140 Step 1 took 46137ms Step 2 took 16066ms ********** Factor found in step 2: 11894671268301091502202754185577855000589 Found prime factor of 41 digits: 11894671268301091502202754185577855000589 Prime cofactor 37057822705099267260802059019583002856803094640191625404289822525621862816904792092866319449684730259780389229495308884310271337333985308562933999 has 146 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 6, 2022 22:18:16 UTC 2022 年 6 月 7 日 (火) 7 時 18 分 16 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovSeptember 19, 2022 10:33:16 UTC 2022 年 9 月 19 日 (月) 19 時 33 分 16 秒 (日本時間)

## 25×10240-529

### c180

name 名前 Dmitry Domanov May 19, 2022 14:29:19 UTC 2022 年 5 月 19 日 (木) 23 時 29 分 19 秒 (日本時間) `100358378738789133217059512894641152101751686276592131687955197366291917744217443559711344122045743126513900136018486123727575356806697487227705063054341736398812182590270760073269<180>` ```175659461436769178080928450186069543<36> 571323502405900224485586483107046491546961353043243879041338539632010391214867616796819627223787431993495823113143574000218196608009591260988483<144>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1195572289 Step 1 took 11912ms Step 2 took 6245ms ********** Factor found in step 2: 175659461436769178080928450186069543 Found prime factor of 36 digits: 175659461436769178080928450186069543 Prime cofactor 571323502405900224485586483107046491546961353043243879041338539632010391214867616796819627223787431993495823113143574000218196608009591260988483 has 144 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovMay 18, 2022 10:24:31 UTC 2022 年 5 月 18 日 (水) 19 時 24 分 31 秒 (日本時間)

## 25×10243-529

### c169

composite cofactor 合成数の残り `6454132507712564157924088268983817771307826132412167611966349441195864629379038630930704626781440010468047682541186891071150902377979255428850783918698985612842079403047<169>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMay 18, 2022 10:24:42 UTC 2022 年 5 月 18 日 (水) 19 時 24 分 42 秒 (日本時間)
2350Ignacio SantosSeptember 16, 2023 15:20:32 UTC 2023 年 9 月 17 日 (日) 0 時 20 分 32 秒 (日本時間)
4511e61792 / 3694Dmitry DomanovNovember 16, 2023 22:23:16 UTC 2023 年 11 月 17 日 (金) 7 時 23 分 16 秒 (日本時間)

## 25×10244-529

### c201

composite cofactor 合成数の残り `355997527487432443951592288702478971407082828096165598987284676182922558789745951747242659545372974140280663120926901489460439073580302228385412859020100773920019666046669409317714527093467618263116231<201>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 23, 2022 22:32:58 UTC 2022 年 8 月 24 日 (水) 7 時 32 分 58 秒 (日本時間)
2350Ignacio SantosSeptember 16, 2023 15:21:02 UTC 2023 年 9 月 17 日 (日) 0 時 21 分 2 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 08:29:55 UTC 2023 年 11 月 17 日 (金) 17 時 29 分 55 秒 (日本時間)

## 25×10246-529

### c221

name 名前 Ignacio Santos September 16, 2023 15:29:30 UTC 2023 年 9 月 17 日 (日) 0 時 29 分 30 秒 (日本時間) `15488146111415797644419661274431218638349123698887759272618537658208255389590468650950063256414542456776643956844617567248130597193756979327731880748207489550277172843993963691691885099801451549479380583211563879697280707<221>` `38296230648417576398335238165774012837227<41>` `404430040481171409638439232783759033037853309621696606434371193080555465736222043229215614234113359730438211308832376818703896451299306083983406581844326968281189174497007815967241<180>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3093073864 Step 1 took 9562ms Step 2 took 4375ms ********** Factor found in step 2: 38296230648417576398335238165774012837227 Found prime factor of 41 digits: 38296230648417576398335238165774012837227 Composite cofactor 404430040481171409638439232783759033037853309621696606434371193080555465736222043229215614234113359730438211308832376818703896451299306083983406581844326968281189174497007815967241 has 180 digits``` `GMP-ECM`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 22, 2022 09:33:21 UTC 2022 年 8 月 22 日 (月) 18 時 33 分 21 秒 (日本時間)
2350Ignacio SantosSeptember 19, 2023 06:54:34 UTC 2023 年 9 月 19 日 (火) 15 時 54 分 34 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 16, 2023 22:23:24 UTC 2023 年 11 月 17 日 (金) 7 時 23 分 24 秒 (日本時間)

## 25×10247-529

### c233

composite cofactor 合成数の残り `92731980010209934043084690914704336855872661549021216512220812207162458361814719768312855553862414867663932426060049850358808089059199973189782948672230034477721028128931456096588477113712372166870097512172284404079622971678608833031<233>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 22, 2022 09:33:28 UTC 2022 年 8 月 22 日 (月) 18 時 33 分 28 秒 (日本時間)
2350Ignacio SantosSeptember 16, 2023 15:43:37 UTC 2023 年 9 月 17 日 (日) 0 時 43 分 37 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 10:48:37 UTC 2023 年 11 月 17 日 (金) 19 時 48 分 37 秒 (日本時間)

## 25×10248-529

### c220

composite cofactor 合成数の残り `1513709853517334771520456792844288082303195897774488511752034093179330062395556575187050954058853183430363424906589483594412933661992175065763609651565289713350178819905568519824483242132215603961294212928569828867262513<220>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 22, 2022 09:33:35 UTC 2022 年 8 月 22 日 (月) 18 時 33 分 35 秒 (日本時間)
2350Ignacio SantosSeptember 16, 2023 15:54:59 UTC 2023 年 9 月 17 日 (日) 0 時 54 分 59 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 08:30:10 UTC 2023 年 11 月 17 日 (金) 17 時 30 分 10 秒 (日本時間)

## 25×10249-529

### c230

composite cofactor 合成数の残り `49479141816084086823304843431520341752208355987509885088743627565164691581698472467891154642733636073888862893071831399484647223443618810193832466275411680093954296185746482252957913103055844749757489120223561687099479086721132239<230>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 22, 2022 09:33:43 UTC 2022 年 8 月 22 日 (月) 18 時 33 分 43 秒 (日本時間)
2350Ignacio SantosSeptember 16, 2023 16:06:23 UTC 2023 年 9 月 17 日 (日) 1 時 6 分 23 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 10:48:46 UTC 2023 年 11 月 17 日 (金) 19 時 48 分 46 秒 (日本時間)

## 25×10250-529

### c177

composite cofactor 合成数の残り `300363745375474460820570546323908471786141234872199718379284505257192114716514638963198603393306543745365950466458235345828378369408156395008237521311853333716773055861899772083<177>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 18, 2022 10:24:52 UTC 2022 年 5 月 18 日 (水) 19 時 24 分 52 秒 (日本時間)
4511e62992 / 42131200Dmitry DomanovSeptember 16, 2022 07:27:39 UTC 2022 年 9 月 16 日 (金) 16 時 27 分 39 秒 (日本時間)
1792Dmitry DomanovNovember 16, 2023 22:23:32 UTC 2023 年 11 月 17 日 (金) 7 時 23 分 32 秒 (日本時間)

## 25×10251-529

### c249

composite cofactor 合成数の残り `119115685153421002477606251191156851534210024776062511911568515342100247760625119115685153421002477606251191156851534210024776062511911568515342100247760625119115685153421002477606251191156851534210024776062511911568515342100247760625119115685153421<249>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 22, 2022 09:33:50 UTC 2022 年 8 月 22 日 (月) 18 時 33 分 50 秒 (日本時間)
2350Ignacio SantosSeptember 16, 2023 14:08:09 UTC 2023 年 9 月 16 日 (土) 23 時 8 分 9 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 10:48:57 UTC 2023 年 11 月 17 日 (金) 19 時 48 分 57 秒 (日本時間)

## 25×10253-529

### c224

composite cofactor 合成数の残り `19285752976803738117324257221938703182757922483122799681793235677606757982401430149969349426851603403327363711161211099633128553381690068222301811621282651369311916889376385793747101141806429758948936065266210204317192108381<224>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 22, 2022 09:33:57 UTC 2022 年 8 月 22 日 (月) 18 時 33 分 57 秒 (日本時間)
2350Ignacio SantosSeptember 16, 2023 14:18:24 UTC 2023 年 9 月 16 日 (土) 23 時 18 分 24 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 08:30:17 UTC 2023 年 11 月 17 日 (金) 17 時 30 分 17 秒 (日本時間)

## 25×10254-529

### c232

name 名前 Dmitry Domanov August 23, 2022 23:38:01 UTC 2022 年 8 月 24 日 (水) 8 時 38 分 1 秒 (日本時間) `3207113529404905739380272756717776158742141099502464901518171813765688103518652280150871607922245824168336953564435738313718806314517059432930869197889517823179287690832149625730498689876184882544773096173781409614876967007181155569<232>` `266325161387646868473589318588666282609<39>` `12042097384620840981592436502522110649438212489165460469340141183024972297602708769599529157088379324986475268260045957233772368301919247248263828056140362968388389585291218481114219508651725441<194>` ```esuming ECM residue saved by @52a2f9dfbb6a with GMP-ECM 7.0.5-dev on Mon Aug 22 10:50:33 2022 Input number is 3207113529404905739380272756717776158742141099502464901518171813765688103518652280150871607922245824168336953564435738313718806314517059432930869197889517823179287690832149625730498689876184882544773096173781409614876967007181155569 (232 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2921036642 Step 1 took 0ms Step 2 took 6076ms ********** Factor found in step 2: 266325161387646868473589318588666282609 Found prime factor of 39 digits: 266325161387646868473589318588666282609 Composite cofactor 12042097384620840981592436502522110649438212489165460469340141183024972297602708769599529157088379324986475268260045957233772368301919247248263828056140362968388389585291218481114219508651725441 has 194 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovAugust 22, 2022 09:34:05 UTC 2022 年 8 月 22 日 (月) 18 時 34 分 5 秒 (日本時間)
4511e62792 / 40381000Dmitry DomanovSeptember 19, 2022 10:33:33 UTC 2022 年 9 月 19 日 (月) 19 時 33 分 33 秒 (日本時間)
1792Dmitry DomanovNovember 16, 2023 22:23:40 UTC 2023 年 11 月 17 日 (金) 7 時 23 分 40 秒 (日本時間)

## 25×10255-529

### c252

composite cofactor 合成数の残り `111342703935296527889120481713074305666898259490852083444676037268629861222453815046407639000231592824185416778009370601963194555787148379740972333564926157518750111342703935296527889120481713074305666898259490852083444676037268629861222453815046407639<252>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJune 6, 2022 22:22:07 UTC 2022 年 6 月 7 日 (火) 7 時 22 分 7 秒 (日本時間)
2350Ignacio SantosSeptember 17, 2023 07:55:17 UTC 2023 年 9 月 17 日 (日) 16 時 55 分 17 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 10:49:06 UTC 2023 年 11 月 17 日 (金) 19 時 49 分 6 秒 (日本時間)

## 25×10256-529

### c224

name 名前 Dmitry Domanov November 19, 2023 17:27:54 UTC 2023 年 11 月 20 日 (月) 2 時 27 分 54 秒 (日本時間) `32603792198060256233602985583485889789269701096510664139467947753988373503980534302663698819129512682500744596875348443129001840325375103372824694197818437104616318875010474596807187949217568137973456735902714815806945720739<224>` ```311844140639184157703576907898208756539379<42> 104551562621098327334428909477794218173539196690596495863308043475631494560775474483053277715111948219191912752708710424573352558994834770399729642455117043308931526730339335378557841<183>``` ```Resuming ECM residue saved by @8073ca6b4746 with GMP-ECM 7.0.5-dev on Fri Nov 17 10:15:55 2023 Input number is 32603792198060256233602985583485889789269701096510664139467947753988373503980534302663698819129512682500744596875348443129001840325375103372824694197818437104616318875010474596807187949217568137973456735902714815806945720739 (224 digits) Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2678944670 Step 1 took 0ms Step 2 took 18946ms ********** Factor found in step 2: 311844140639184157703576907898208756539379 Found prime factor of 42 digits: 311844140639184157703576907898208756539379 Prime cofactor 104551562621098327334428909477794218173539196690596495863308043475631494560775474483053277715111948219191912752708710424573352558994834770399729642455117043308931526730339335378557841 has 183 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 22, 2022 09:34:12 UTC 2022 年 8 月 22 日 (月) 18 時 34 分 12 秒 (日本時間)
2350Ignacio SantosSeptember 17, 2023 08:03:19 UTC 2023 年 9 月 17 日 (日) 17 時 3 分 19 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 08:30:26 UTC 2023 年 11 月 17 日 (金) 17 時 30 分 26 秒 (日本時間)

## 25×10259-529

### c205

composite cofactor 合成数の残り `8715080576389881981358578269828982545210276600736243522217009254019408418330971277879306319246276013646507922522864002122489248928514402130579564700744455939451055000245589767443530577232972450355579306003<205>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 23, 2022 22:33:08 UTC 2022 年 8 月 24 日 (水) 7 時 33 分 8 秒 (日本時間)
2350Ignacio SantosSeptember 17, 2023 08:18:03 UTC 2023 年 9 月 17 日 (日) 17 時 18 分 3 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 08:30:34 UTC 2023 年 11 月 17 日 (金) 17 時 30 分 34 秒 (日本時間)

## 25×10260-529

### c217

composite cofactor 合成数の残り `1382187149942350921154978415405425656288959003721525474307566120563947646209222423910391893113667276067779721916789655410347964522426361263887760137099127365644556291053278581870398681306860849540411766928737400270537<217>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 23, 2022 22:33:16 UTC 2022 年 8 月 24 日 (水) 7 時 33 分 16 秒 (日本時間)
2350Ignacio SantosSeptember 17, 2023 08:26:32 UTC 2023 年 9 月 17 日 (日) 17 時 26 分 32 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 08:30:44 UTC 2023 年 11 月 17 日 (金) 17 時 30 分 44 秒 (日本時間)

## 25×10261-529

### c253

composite cofactor 合成数の残り `1330251654047304587834245391859335404949771520520040485189586062053276499142335570552054991942722134105607717202499833512620288040403770522584830923249260592335303618437084194394320934590405140820134671667894406999850439487275064573836694710374360874181<253>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJune 6, 2022 22:21:55 UTC 2022 年 6 月 7 日 (火) 7 時 21 分 55 秒 (日本時間)
2350Ignacio SantosSeptember 17, 2023 09:01:06 UTC 2023 年 9 月 17 日 (日) 18 時 1 分 6 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 10:49:14 UTC 2023 年 11 月 17 日 (金) 19 時 49 分 14 秒 (日本時間)

## 25×10263-529

### c242

composite cofactor 合成数の残り `79486453850580381609002544852163940284898185413888620779192876260410046873545510833864761661237684916993722397339064130087469040510301896568531385154816572419341146714796727065277026809223091952229899513280890101798941193749230161898366134829<242>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 22, 2022 09:34:20 UTC 2022 年 8 月 22 日 (月) 18 時 34 分 20 秒 (日本時間)
2350Ignacio SantosSeptember 17, 2023 09:01:46 UTC 2023 年 9 月 17 日 (日) 18 時 1 分 46 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 10:49:23 UTC 2023 年 11 月 17 日 (金) 19 時 49 分 23 秒 (日本時間)

## 25×10264-529

### c209

composite cofactor 合成数の残り `32465700311655060282417052389581846600533683426036800985308510899585535983870062078209077653375829822678438712226849948910308559681161939514639627316537821705010387252806158843402893994734549971897216879313729<209>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 23, 2022 22:33:24 UTC 2022 年 8 月 24 日 (水) 7 時 33 分 24 秒 (日本時間)
2350Ignacio SantosSeptember 17, 2023 09:06:36 UTC 2023 年 9 月 17 日 (日) 18 時 6 分 36 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 10:39:24 UTC 2023 年 11 月 17 日 (金) 19 時 39 分 24 秒 (日本時間)

## 25×10265-529

### c187

composite cofactor 合成数の残り `9996586258576677525777556271403492374397209684253544101907676444977453557959095232898902542948106059120622333177891045390574660928591735685309904592087069825671179142514805865358589277919<187>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 6, 2022 22:18:25 UTC 2022 年 6 月 7 日 (火) 7 時 18 分 25 秒 (日本時間)
4511e62992 / 42131200Dmitry DomanovSeptember 19, 2022 10:34:48 UTC 2022 年 9 月 19 日 (月) 19 時 34 分 48 秒 (日本時間)
1792Dmitry DomanovNovember 16, 2023 22:23:48 UTC 2023 年 11 月 17 日 (金) 7 時 23 分 48 秒 (日本時間)

## 25×10266-529

### c241

name 名前 Ignacio Santos September 16, 2023 14:34:01 UTC 2023 年 9 月 16 日 (土) 23 時 34 分 1 秒 (日本時間) `3882072369538164397930302075544964512886494132712033840145634004818318762911177488324204234712783416452833772451176214178185869284652238048955573319621164738630299384815184315523333291961154536396467022704833755141951943497033813277078811409<241>` `550019463624966294835334652128176016590278643<45>` `7058063625517761950868304881451399565576246100852179247168102870747222060454310336116680310867529904594914710123353623025252038771898806332581562140493062322367994985157440322122633157115229648363<196>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1687032616 Step 1 took 8938ms Step 2 took 3875ms ********** Factor found in step 2: 550019463624966294835334652128176016590278643 Found prime factor of 45 digits: 550019463624966294835334652128176016590278643 Composite cofactor 7058063625517761950868304881451399565576246100852179247168102870747222060454310336116680310867529904594914710123353623025252038771898806332581562140493062322367994985157440322122633157115229648363 has 196 digits``` `GMP-ECM`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 22, 2022 09:34:28 UTC 2022 年 8 月 22 日 (月) 18 時 34 分 28 秒 (日本時間)
2350Ignacio SantosSeptember 19, 2023 07:10:30 UTC 2023 年 9 月 19 日 (火) 16 時 10 分 30 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 16, 2023 22:23:56 UTC 2023 年 11 月 17 日 (金) 7 時 23 分 56 秒 (日本時間)

## 25×10267-529

### c230

composite cofactor 合成数の残り `12330775350414005035170486831433840719475011251768354157100267955261775412351015965943526565425338316067743955254893012240524434417838880264340985337363390867031285495495204475342729354673063991878731753589703444899446659693122999<230>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 22, 2022 09:34:36 UTC 2022 年 8 月 22 日 (月) 18 時 34 分 36 秒 (日本時間)
2350Ignacio SantosSeptember 16, 2023 14:50:13 UTC 2023 年 9 月 16 日 (土) 23 時 50 分 13 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 10:49:31 UTC 2023 年 11 月 17 日 (金) 19 時 49 分 31 秒 (日本時間)

## 25×10268-529

### c226

composite cofactor 合成数の残り `1104325464991258362126803942212766228457872287064971875548081326929126831334101275235377658793456150177843905442320670775165398791189527054278677485000966742784092998032820639573341791187071230915120060645378736669256597405417<226>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 22, 2022 09:34:43 UTC 2022 年 8 月 22 日 (月) 18 時 34 分 43 秒 (日本時間)
2350Ignacio SantosSeptember 16, 2023 14:57:02 UTC 2023 年 9 月 16 日 (土) 23 時 57 分 2 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 10:39:48 UTC 2023 年 11 月 17 日 (金) 19 時 39 分 48 秒 (日本時間)

## 25×10269-529

### c180

composite cofactor 合成数の残り `202829567027631162290360843574215806861403257665297629171748110999139356586488723944435023338484205012882896273279691498039593963110484799366666982814642513475010153588380335669467<180>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 14, 2022 21:33:53 UTC 2022 年 4 月 15 日 (金) 6 時 33 分 53 秒 (日本時間)
4511e64480Ignacio SantosApril 22, 2022 18:06:21 UTC 2022 年 4 月 23 日 (土) 3 時 6 分 21 秒 (日本時間)
5043e61792 / 6453Dmitry DomanovApril 27, 2024 21:08:10 UTC 2024 年 4 月 28 日 (日) 6 時 8 分 10 秒 (日本時間)

## 25×10270-529

### c202

composite cofactor 合成数の残り `5531006695954263153535619678092072577726739388654745277490851492621323354049207311558365845983581663714032724324303039786114456456375650208408629290846337949777909546046996523431050868286085766952943169<202>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 23, 2022 22:33:33 UTC 2022 年 8 月 24 日 (水) 7 時 33 分 33 秒 (日本時間)
2350Ignacio SantosSeptember 17, 2023 09:23:29 UTC 2023 年 9 月 17 日 (日) 18 時 23 分 29 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 10:39:59 UTC 2023 年 11 月 17 日 (金) 19 時 39 分 59 秒 (日本時間)

## 25×10272-529

### c268

name 名前 Dmitry Domanov June 7, 2022 18:18:38 UTC 2022 年 6 月 8 日 (水) 3 時 18 分 38 秒 (日本時間) `1176605690253374975761922780780475499304390715922204714329551252002582884811244208746792572888369299816072998499592423788896230908396069948737643287040959056004548286956243446306305288701385006090111052751468874543712313319741184399526345613331601369757280365369011783<268>` `21009468328881462974245293877908111879029<41>` `56003591896512169704840306381130402144487393122668330293665204996477583914290645447429682755805406444026760032116491230108894499106463092610866325019767641062542164847797539155630127057712017924597698200130360736349616185182027<227>` ```Resuming ECM residue saved by @4993db449cb2 with GMP-ECM 7.0.5-dev on Mon Jun 6 23:04:41 2022 Input number is 1176605690253374975761922780780475499304390715922204714329551252002582884811244208746792572888369299816072998499592423788896230908396069948737643287040959056004548286956243446306305288701385006090111052751468874543712313319741184399526345613331601369757280365369011783 (268 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3078526928 Step 1 took 0ms Step 2 took 10504ms ********** Factor found in step 2: 21009468328881462974245293877908111879029 Found prime factor of 41 digits: 21009468328881462974245293877908111879029 Composite cofactor 56003591896512169704840306381130402144487393122668330293665204996477583914290645447429682755805406444026760032116491230108894499106463092610866325019767641062542164847797539155630127057712017924597698200130360736349616185182027 has 227 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJune 6, 2022 22:21:44 UTC 2022 年 6 月 7 日 (火) 7 時 21 分 44 秒 (日本時間)
2350Ignacio SantosSeptember 17, 2023 09:44:42 UTC 2023 年 9 月 17 日 (日) 18 時 44 分 42 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 10:40:08 UTC 2023 年 11 月 17 日 (金) 19 時 40 分 8 秒 (日本時間)

## 25×10273-529

### c251

composite cofactor 合成数の残り `13999539081871127377307029861532950710548221426606570389942801679122076237941728698649081056414958143432297347499392024426138156451042602993414582781021696389961289044583189075804329619962492085927849665065659144883330736147039330740601211409819040591<251>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJune 6, 2022 22:21:33 UTC 2022 年 6 月 7 日 (火) 7 時 21 分 33 秒 (日本時間)
2350Ignacio SantosSeptember 17, 2023 10:06:02 UTC 2023 年 9 月 17 日 (日) 19 時 6 分 2 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 10:49:41 UTC 2023 年 11 月 17 日 (金) 19 時 49 分 41 秒 (日本時間)

## 25×10274-529

### c261

name 名前 Dmitry Domanov November 24, 2023 08:17:13 UTC 2023 年 11 月 24 日 (金) 17 時 17 分 13 秒 (日本時間) `129829761606767597923351903549975899989248770272856069955923445191391114285413535423532924500433925959266544807060991091655823308602806611708749766107873294580039053297042050320440129827529957303602446270507561146032001872911620215183744174962716424035626359497<261>` `68670989964256660896253867578331003487<38>` `1890605649843466022219356829178663303769666404699775614076674005988084771470984896841387966096917740091548611532414834787136450780716880837701634736104933703920391504324737232468091671802245228495447805570856644562156342231<223>` ```Resuming ECM residue saved by @fc4e8b0b725e with GMP-ECM 7.0.5-dev on Fri Nov 17 19:54:28 2023 Input number is 129829761606767597923351903549975899989248770272856069955923445191391114285413535423532924500433925959266544807060991091655823308602806611708749766107873294580039053297042050320440129827529957303602446270507561146032001872911620215183744174962716424035626359497 (261 digits) Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2118480023 Step 1 took 0ms Step 2 took 23806ms ********** Factor found in step 2: 68670989964256660896253867578331003487 Found prime factor of 38 digits: 68670989964256660896253867578331003487 Composite cofactor 1890605649843466022219356829178663303769666404699775614076674005988084771470984896841387966096917740091548611532414834787136450780716880837701634736104933703920391504324737232468091671802245228495447805570856644562156342231 has 223 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJune 6, 2022 22:21:22 UTC 2022 年 6 月 7 日 (火) 7 時 21 分 22 秒 (日本時間)
2350Ignacio SantosSeptember 17, 2023 10:06:17 UTC 2023 年 9 月 17 日 (日) 19 時 6 分 17 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 10:49:50 UTC 2023 年 11 月 17 日 (金) 19 時 49 分 50 秒 (日本時間)

## 25×10275-529

### c218

composite cofactor 合成数の残り `12726414656957252306073535441719467489437026875107645937098321218867125590722124712023906348871780429175968255104453699646055875773065616287535223905585088366895455582997462129648236454102421056522253110759219804911987<218>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 23, 2022 22:33:40 UTC 2022 年 8 月 24 日 (水) 7 時 33 分 40 秒 (日本時間)
2350Ignacio SantosSeptember 17, 2023 10:16:24 UTC 2023 年 9 月 17 日 (日) 19 時 16 分 24 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 10:40:21 UTC 2023 年 11 月 17 日 (金) 19 時 40 分 21 秒 (日本時間)

## 25×10276-529

### c242

composite cofactor 合成数の残り `29380313379611283237390837301604211589200966197147510367931144913371480819104293650787609911928035242542484039125801908735184985668581815087479224264127830917554575887980700093574111317861284153009175881684338129735805317116329351659845607697<242>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 22, 2022 09:34:51 UTC 2022 年 8 月 22 日 (月) 18 時 34 分 51 秒 (日本時間)
2350Ignacio SantosSeptember 17, 2023 10:29:10 UTC 2023 年 9 月 17 日 (日) 19 時 29 分 10 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 10:50:01 UTC 2023 年 11 月 17 日 (金) 19 時 50 分 1 秒 (日本時間)

## 25×10278-529

### c247

name 名前 Dmitry Domanov August 22, 2022 20:51:19 UTC 2022 年 8 月 23 日 (火) 5 時 51 分 19 秒 (日本時間) `1768263013313200187366398792141903463261369584898170228814744126584736609719311060555626887915421175620782129807210319106572174449429467553835471500366559142324342326243929098589584011962929465587983339006429845052053508379263362320842463422598699<247>` `21301163681499367258782042437100703<35>` `83012507661681605899433187550336284629455582079540275998307491752808024167321958084681065755927359172892002858899480196029082896841604807954219784364516890691686859512427997463223768664396457188698130796924108533<212>` ```Resuming ECM residue saved by @52a2f9dfbb6a with GMP-ECM 7.0.5-dev on Mon Aug 22 11:17:15 2022 Input number is 1768263013313200187366398792141903463261369584898170228814744126584736609719311060555626887915421175620782129807210319106572174449429467553835471500366559142324342326243929098589584011962929465587983339006429845052053508379263362320842463422598699 (247 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2787494621 Step 1 took 0ms Step 2 took 6083ms ********** Factor found in step 2: 21301163681499367258782042437100703 Found prime factor of 35 digits: 21301163681499367258782042437100703 Composite cofactor 83012507661681605899433187550336284629455582079540275998307491752808024167321958084681065755927359172892002858899480196029082896841604807954219784364516890691686859512427997463223768664396457188698130796924108533 has 212 digits```

### c212

name 名前 Dmitry Domanov November 22, 2023 06:54:43 UTC 2023 年 11 月 22 日 (水) 15 時 54 分 43 秒 (日本時間) `83012507661681605899433187550336284629455582079540275998307491752808024167321958084681065755927359172892002858899480196029082896841604807954219784364516890691686859512427997463223768664396457188698130796924108533<212>` `15272517342977592612751921581123105609071993<44>` `5435417475551358383791415259765812083302993247008161706788695589980525086016873455127084784572722188556455160842618232787500524465265203922554465016141357983168669874781<169>` ```Resuming ECM residue saved by @fc4e8b0b725e with GMP-ECM 7.0.5-dev on Fri Nov 17 22:58:44 2023 Input number is 83012507661681605899433187550336284629455582079540275998307491752808024167321958084681065755927359172892002858899480196029082896841604807954219784364516890691686859512427997463223768664396457188698130796924108533 (212 digits) Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3782227186 Step 1 took 0ms Step 2 took 56ms ********** Factor found in step 2: 15272517342977592612751921581123105609071993 Found prime factor of 44 digits: 15272517342977592612751921581123105609071993 Composite cofactor 5435417475551358383791415259765812083302993247008161706788695589980525086016873455127084784572722188556455160842618232787500524465265203922554465016141357983168669874781 has 169 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 22, 2022 09:34:58 UTC 2022 年 8 月 22 日 (月) 18 時 34 分 58 秒 (日本時間)
2350Ignacio SantosSeptember 17, 2023 10:41:37 UTC 2023 年 9 月 17 日 (日) 19 時 41 分 37 秒 (日本時間)
4511e662721792Dmitry DomanovNovember 17, 2023 10:40:31 UTC 2023 年 11 月 17 日 (金) 19 時 40 分 31 秒 (日本時間)
4480Ignacio SantosNovember 27, 2023 14:13:09 UTC 2023 年 11 月 27 日 (月) 23 時 13 分 9 秒 (日本時間)
5043e61792 / 5983Dmitry DomanovJune 12, 2024 23:31:23 UTC 2024 年 6 月 13 日 (木) 8 時 31 分 23 秒 (日本時間)

## 25×10280-529

### c236

name 名前 Dmitry Domanov August 22, 2022 23:51:19 UTC 2022 年 8 月 23 日 (火) 8 時 51 分 19 秒 (日本時間) `12612497537870116624991310924976546581398726917714032022845859089128775203770832170953198532729596242902042330773357299764002424430456545606953597338015375905151915982517794961587035205846741311149512879132148213553589215816330932933907<236>` ```10044431378522349023898532097064588781<38> 1255670636054020169533826302413334408958482993001286177686024257013029507831762571714134959918773073179138502445773752429168739282090529592937004110260274038092113533762857085517903963128404307605247<199>``` ```Resuming ECM residue saved by @52a2f9dfbb6a with GMP-ECM 7.0.5-dev on Mon Aug 22 11:21:43 2022 Input number is 12612497537870116624991310924976546581398726917714032022845859089128775203770832170953198532729596242902042330773357299764002424430456545606953597338015375905151915982517794961587035205846741311149512879132148213553589215816330932933907 (236 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2120051718 Step 1 took 0ms Step 2 took 5989ms ********** Factor found in step 2: 10044431378522349023898532097064588781 Found prime factor of 38 digits: 10044431378522349023898532097064588781 Prime cofactor 1255670636054020169533826302413334408958482993001286177686024257013029507831762571714134959918773073179138502445773752429168739282090529592937004110260274038092113533762857085517903963128404307605247 has 199 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 22, 2022 09:35:05 UTC 2022 年 8 月 22 日 (月) 18 時 35 分 5 秒 (日本時間)

## 25×10281-529

### c269

name 名前 Dmitry Domanov November 24, 2023 08:16:04 UTC 2023 年 11 月 24 日 (金) 17 時 16 分 4 秒 (日本時間) `16525537234943864033258011394974218524122621409037525896437279589221204777805366674912915434332549597542660038836003404530902011817776223343781699542191277161380966943206306427584795730723516327711331326518473918973389321078760734129828410745717032200196747913899853881<269>` ```116400702338875891102110807228142364198691721<45> 141971112741513162800508718045448339991569749024761072619571737496359451380495709158680252945318698649781638456062337261997676391157603902311252503813869599340502078368806899841758101277362271512324457228714813345561371910961<225>``` ```Resuming ECM residue saved by @fc4e8b0b725e with GMP-ECM 7.0.5-dev on Fri Nov 17 17:10:45 2023 Input number is 16525537234943864033258011394974218524122621409037525896437279589221204777805366674912915434332549597542660038836003404530902011817776223343781699542191277161380966943206306427584795730723516327711331326518473918973389321078760734129828410745717032200196747913899853881 (269 digits) Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2617230532 Step 1 took 0ms Step 2 took 22636ms ********** Factor found in step 2: 116400702338875891102110807228142364198691721 Found prime factor of 45 digits: 116400702338875891102110807228142364198691721 Prime cofactor 141971112741513162800508718045448339991569749024761072619571737496359451380495709158680252945318698649781638456062337261997676391157603902311252503813869599340502078368806899841758101277362271512324457228714813345561371910961 has 225 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJune 6, 2022 22:21:10 UTC 2022 年 6 月 7 日 (火) 7 時 21 分 10 秒 (日本時間)
2350Ignacio SantosSeptember 17, 2023 10:55:26 UTC 2023 年 9 月 17 日 (日) 19 時 55 分 26 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 10:50:07 UTC 2023 年 11 月 17 日 (金) 19 時 50 分 7 秒 (日本時間)

## 25×10282-529

### c251

name 名前 Dmitry Domanov June 7, 2022 15:03:41 UTC 2022 年 6 月 8 日 (水) 0 時 3 分 41 秒 (日本時間) `18238879025843043742231758601966554503170240528412026244184057174106318745271444216924513948686411850939573065070751090767567679267826942582052755721292820112284402837973353997467985322932761649324435926624128326227563917590821687078214096557893799547<251>` ```15336041139987259536998880458382976849<38> 1189282087819059915919703351572504076766139252558623982586894787698705768389038680529518390139585039283722575562177968408515963377300874400661088563812919690808912527064271908718077705983517380166480942713944981003<214>``` ```Resuming ECM residue saved by @4993db449cb2 with GMP-ECM 7.0.5-dev on Mon Jun 6 22:46:49 2022 Input number is 18238879025843043742231758601966554503170240528412026244184057174106318745271444216924513948686411850939573065070751090767567679267826942582052755721292820112284402837973353997467985322932761649324435926624128326227563917590821687078214096557893799547 (251 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2358250440 Step 1 took 1ms Step 2 took 10685ms ********** Factor found in step 2: 15336041139987259536998880458382976849 Found prime factor of 38 digits: 15336041139987259536998880458382976849 Prime cofactor 1189282087819059915919703351572504076766139252558623982586894787698705768389038680529518390139585039283722575562177968408515963377300874400661088563812919690808912527064271908718077705983517380166480942713944981003 has 214 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJune 6, 2022 22:21:00 UTC 2022 年 6 月 7 日 (火) 7 時 21 分 0 秒 (日本時間)

## 25×10283-529

### c282

composite cofactor 合成数の残り `631313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313<282>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovApril 23, 2022 08:56:49 UTC 2022 年 4 月 23 日 (土) 17 時 56 分 49 秒 (日本時間)
2350Ignacio SantosSeptember 17, 2023 13:57:16 UTC 2023 年 9 月 17 日 (日) 22 時 57 分 16 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 10:50:46 UTC 2023 年 11 月 17 日 (金) 19 時 50 分 46 秒 (日本時間)

## 25×10284-529

### c269

composite cofactor 合成数の残り `19944458226234665431872970302656072297882678641758807149759484867170829332204677679332005030996557289648625656863184875699166005699515053880511746887200646888443678305563916965162120179198312445672426049786850397817370656605027938200795099722882226126389020201522769161<269>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJune 6, 2022 22:20:50 UTC 2022 年 6 月 7 日 (火) 7 時 20 分 50 秒 (日本時間)
2350Ignacio SantosSeptember 17, 2023 14:04:11 UTC 2023 年 9 月 17 日 (日) 23 時 4 分 11 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 10:50:15 UTC 2023 年 11 月 17 日 (金) 19 時 50 分 15 秒 (日本時間)

## 25×10285-529

### c237

composite cofactor 合成数の残り `323797753950599718387825152141439447026900386522481573171586067109893971498923338188951106688427000418612680955142290033890849610278010045704118789170071623702383790005458039946627866762234024600248286173041483663984741251816564873379539<237>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 22, 2022 09:35:12 UTC 2022 年 8 月 22 日 (月) 18 時 35 分 12 秒 (日本時間)
2350Ignacio SantosSeptember 17, 2023 14:16:51 UTC 2023 年 9 月 17 日 (日) 23 時 16 分 51 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 10:50:27 UTC 2023 年 11 月 17 日 (金) 19 時 50 分 27 秒 (日本時間)

## 25×10286-529

### c262

composite cofactor 合成数の残り `3303717468080376972408537330877789541984276160165488798438429901701020476814376996910685635601088359404977641380621542844417819518941894868348796933904615618945164710453049231997380391317427182710789194340682683686308137825593102920813931351554742180410128706883<262>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJune 6, 2022 22:20:39 UTC 2022 年 6 月 7 日 (火) 7 時 20 分 39 秒 (日本時間)
2350Ignacio SantosSeptember 17, 2023 14:31:52 UTC 2023 年 9 月 17 日 (日) 23 時 31 分 52 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 10:50:37 UTC 2023 年 11 月 17 日 (金) 19 時 50 分 37 秒 (日本時間)

## 25×10289-529

### c194

name 名前 Taiyo Kodama April 16, 2022 09:52:47 UTC 2022 年 4 月 16 日 (土) 18 時 52 分 47 秒 (日本時間) `91952619519081185176484504930483511144940764175939687249880904735837543432376662374691881039695151854276590577770143400907314642523547785533971687648187488891981270649567092590623508288526981213<194>` `1635466347796508724047073794159526652909<40>` `56224097574964164613502513257405269249560807863644075601158777415815510822359264193690039496564529483758307073475276139136009084478429997790174913283780657<155>` ```GMP-ECM 7.0.5-dev [configured with GMP 6.2.1, --enable-asm-redc, --enable-assert] [ECM] Run 1447 out of 2078: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1016306419 Step 1 took 7141ms Step 2 took 2906ms ********** Factor found in step 2: 1635466347796508724047073794159526652909 Found prime factor of 40 digits: 1635466347796508724047073794159526652909```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 16, 2022 22:22:29 UTC 2022 年 4 月 17 日 (日) 7 時 22 分 29 秒 (日本時間)
4511e64480Ignacio SantosApril 21, 2022 20:01:26 UTC 2022 年 4 月 22 日 (金) 5 時 1 分 26 秒 (日本時間)
5043e64000 / 6453yoyo@HomeOctober 12, 2022 14:00:59 UTC 2022 年 10 月 12 日 (水) 23 時 0 分 59 秒 (日本時間)

## 25×10290-529

### c273

composite cofactor 合成数の残り `165932749138992059821468061368824959192187136384016034439219518023299420821538184559991732361427945606225066888684258615457639231288573522811592565431656130625292673674594350427146745439996142398332182425501359765354559724514550655997359599427786237362689667967795690356851<273>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovApril 23, 2022 08:56:57 UTC 2022 年 4 月 23 日 (土) 17 時 56 分 57 秒 (日本時間)
2350Ignacio SantosSeptember 17, 2023 06:25:03 UTC 2023 年 9 月 17 日 (日) 15 時 25 分 3 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 10:50:54 UTC 2023 年 11 月 17 日 (金) 19 時 50 分 54 秒 (日本時間)

## 25×10291-529

### c284

composite cofactor 合成数の残り `18183678444857804551018605589244383875629830616009522056326268584399440218513933031223008056798060850635445226770297690353095701284442385411979005281974548942436825238787410725448674483012491928156036256951412975534867300882531304664410569677102064431417773582090360354043841919385539<284>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovApril 23, 2022 08:57:06 UTC 2022 年 4 月 23 日 (土) 17 時 57 分 6 秒 (日本時間)
2350Ignacio SantosSeptember 17, 2023 06:32:56 UTC 2023 年 9 月 17 日 (日) 15 時 32 分 56 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 10:51:04 UTC 2023 年 11 月 17 日 (金) 19 時 51 分 4 秒 (日本時間)

## 25×10292-529

### c276

composite cofactor 合成数の残り `122964543134017565975941025538349435934836540481752835858914735823737589956804749893566646771968328209976604931944023068799040439437982596789952239791514453968714725119222565807725983792711167796902820785735079485087622234001194940746719155337250688626258666429967762094391891<276>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovApril 23, 2022 08:57:15 UTC 2022 年 4 月 23 日 (土) 17 時 57 分 15 秒 (日本時間)
2350Ignacio SantosSeptember 17, 2023 07:04:46 UTC 2023 年 9 月 17 日 (日) 16 時 4 分 46 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 10:51:13 UTC 2023 年 11 月 17 日 (金) 19 時 51 分 13 秒 (日本時間)

## 25×10293-529

### c263

name 名前 Dmitry Domanov June 7, 2022 15:03:06 UTC 2022 年 6 月 8 日 (水) 0 時 3 分 6 秒 (日本時間) `20364958098318328051915034228194731941319116344207452190169792780428853766556553377236422401773966241109726891556198139686346547046046829520091997979803895507043295685082155250491897738944863112687891489983285177098318859286959705337235260803380771663168500386931<263>` `2518407203142735884782336605860079199483<40>` `8086443714465544416403986210058699321348198532687391003281824822611018647588840020370472697266479697020375089581771124818253917496720540552117532351973979761194760576540742114016281587879480169936585320163335873384045210857<223>` ```esuming ECM residue saved by @4993db449cb2 with GMP-ECM 7.0.5-dev on Mon Jun 6 22:33:27 2022 Input number is 20364958098318328051915034228194731941319116344207452190169792780428853766556553377236422401773966241109726891556198139686346547046046829520091997979803895507043295685082155250491897738944863112687891489983285177098318859286959705337235260803380771663168500386931 (263 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:4141316879 Step 1 took 0ms Step 2 took 10892ms ********** Factor found in step 2: 2518407203142735884782336605860079199483 Found prime factor of 40 digits: 2518407203142735884782336605860079199483 Composite cofactor 8086443714465544416403986210058699321348198532687391003281824822611018647588840020370472697266479697020375089581771124818253917496720540552117532351973979761194760576540742114016281587879480169936585320163335873384045210857 has 223 digits```

### c223

name 名前 Ignacio Santos September 17, 2023 07:05:22 UTC 2023 年 9 月 17 日 (日) 16 時 5 分 22 秒 (日本時間) `8086443714465544416403986210058699321348198532687391003281824822611018647588840020370472697266479697020375089581771124818253917496720540552117532351973979761194760576540742114016281587879480169936585320163335873384045210857<223>` ```116629436161379405786735568845028703872787<42> 69334500625351424189042015674813348198507824710715387432833346789750558987628191276286689066999572646303982976734607233701340592693784019705588478320752927732286825701476488422174611<182>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2645441918 Step 1 took 9672ms Step 2 took 4391ms ********** Factor found in step 2: 116629436161379405786735568845028703872787 Found prime factor of 42 digits: 116629436161379405786735568845028703872787 Prime cofactor 69334500625351424189042015674813348198507824710715387432833346789750558987628191276286689066999572646303982976734607233701340592693784019705588478320752927732286825701476488422174611 has 182 digits``` `GMP-ECM`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJune 6, 2022 22:20:25 UTC 2022 年 6 月 7 日 (火) 7 時 20 分 25 秒 (日本時間)

## 25×10294-529

### c294

name 名前 Dmitry Domanov April 23, 2022 09:54:03 UTC 2022 年 4 月 23 日 (土) 18 時 54 分 3 秒 (日本時間) `231481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481<294>` `6084539341800917089933132904577339709<37>` `38044208193576576788588123717969954314177222151271396794450373090413218764125111862059364184297673836274944943172092956607167586947825944111893674636177823282809098836387798292822382748154049971633860326966484308031561046899226236580227042241234106390654909<257>` ```********** Factor found in step 1: 6084539341800917089933132904577339709 Found prime factor of 37 digits: 6084539341800917089933132904577339709 Composite cofactor 38044208193576576788588123717969954314177222151271396794450373090413218764125111862059364184297673836274944943172092956607167586947825944111893674636177823282809098836387798292822382748154049971633860326966484308031561046899226236580227042241234106390654909 has 257 digits```

### c257

name 名前 Ignacio Santos September 17, 2023 07:06:09 UTC 2023 年 9 月 17 日 (日) 16 時 6 分 9 秒 (日本時間) `38044208193576576788588123717969954314177222151271396794450373090413218764125111862059364184297673836274944943172092956607167586947825944111893674636177823282809098836387798292822382748154049971633860326966484308031561046899226236580227042241234106390654909<257>` `9792011532345250393856224326201720057207413033<46>` `3885229104143501932934704194483724966750225031800370436003386458004734888049321751771701157002844058993312795721573044049422691652306500717182036995621875505468139078175594430057486922462588272436370956385939573<211>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:770874808 Step 1 took 12484ms Step 2 took 4938ms ********** Factor found in step 2: 9792011532345250393856224326201720057207413033 Found prime factor of 46 digits: 9792011532345250393856224326201720057207413033 Composite cofactor 3885229104143501932934704194483724966750225031800370436003386458004734888049321751771701157002844058993312795721573044049422691652306500717182036995621875505468139078175594430057486922462588272436370956385939573 has 211 digits``` `GMP-ECM`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovApril 23, 2022 08:57:23 UTC 2022 年 4 月 23 日 (土) 17 時 57 分 23 秒 (日本時間)
2350Ignacio SantosSeptember 19, 2023 07:19:33 UTC 2023 年 9 月 19 日 (火) 16 時 19 分 33 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 10:40:42 UTC 2023 年 11 月 17 日 (金) 19 時 40 分 42 秒 (日本時間)

## 25×10295-529

### c254

composite cofactor 合成数の残り `26318695759941567130487831061054963361475386750752180427685152552411263520715824960781369581861988363324006915620670594307311209659843305675524420918674080033040243855384526624276403470366303358841356937728839928265858616045825885707077894910567717983741<254>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJune 6, 2022 22:18:59 UTC 2022 年 6 月 7 日 (火) 7 時 18 分 59 秒 (日本時間)
2350Ignacio SantosSeptember 17, 2023 07:21:06 UTC 2023 年 9 月 17 日 (日) 16 時 21 分 6 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 10:51:22 UTC 2023 年 11 月 17 日 (金) 19 時 51 分 22 秒 (日本時間)

## 25×10296-529

### c221

composite cofactor 合成数の残り `47795305390046001060361083857330672092232230644519033214127396207417095195775107593039741702130999804728181383022917115197781732384767125768932722976969623087247603444327143142234200389373388927369801516361799334286100883<221>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 22, 2022 09:35:19 UTC 2022 年 8 月 22 日 (月) 18 時 35 分 19 秒 (日本時間)
2350Ignacio SantosSeptember 17, 2023 07:32:11 UTC 2023 年 9 月 17 日 (日) 16 時 32 分 11 秒 (日本時間)

## 25×10300-529

### c191

name 名前 Taiyo Kodama April 16, 2022 08:44:14 UTC 2022 年 4 月 16 日 (土) 17 時 44 分 14 秒 (日本時間) `70149338741199863980419957505231967394509732434971352402042495411696108621122470697247980307570519826259967995281932081721714372885676939375816121511769238127832715774244772607212442776033763<191>` ```149072553974397467476076425780596834366217<42> 470571791191339577969779748597203470625717493328788049226916534829301723512796488531103524646289194787505595432980971134267315555394823961413480268939<150>``` ```GMP-ECM 7.0.5-dev [configured with GMP 6.2.1, --enable-asm-redc, --enable-assert] [ECM] Run 1120 out of 2078: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:102195467 Step 1 took 5828ms Step 2 took 2656ms ********** Factor found in step 2: 149072553974397467476076425780596834366217 Found prime factor of 42 digits: 149072553974397467476076425780596834366217```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)