## 10155+18×1077-19

### c114

name 名前 Serge Batalov January 27, 2011 07:19:39 UTC 2011 年 1 月 27 日 (木) 16 時 19 分 39 秒 (日本時間) `927126442558432142392876418788686234746841800813637831525932439762009840662541880028731494510946525628973029236313<114>` ```3385453822013664850885371158632589<34> 273855882047440888886717872523824428856083005964365210069879926975638073408030717<81>``` ```Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=4013348180 Step 1 took 4160ms Step 2 took 2448ms ********** Factor found in step 2: 3385453822013664850885371158632589 Found probable prime factor of 34 digits: 3385453822013664850885371158632589 Probable prime cofactor 273855882047440888886717872523824428856083005964365210069879926975638073408030717 has 81 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 27, 2011 02:00:00 UTC 2011 年 1 月 27 日 (木) 11 時 0 分 0 秒 (日本時間)

## 10157+18×1078-19

### c117

name 名前 Dmitry Domanov January 27, 2011 14:59:50 UTC 2011 年 1 月 27 日 (木) 23 時 59 分 50 秒 (日本時間) `164234561509513156059577986989906106171934132888028769119209287425819300531839851018650683147993068405231892891527461<117>` ```249482572607894688120635780334738137<36> 658300737373092476473977401758844097074347085812510304694504008243652557681252653<81>``` ```N=164234561509513156059577986989906106171934132888028769119209287425819300531839851018650683147993068405231892891527461 ( 117 digits) SNFS difficulty: 157 digits. Divisors found: r1=249482572607894688120635780334738137 (pp36) r2=658300737373092476473977401758844097074347085812510304694504008243652557681252653 (pp81) Version: Msieve v. 1.47 Total time: 0.32 hours. Scaled time: 0.62 units (timescale=1.914). Factorization parameters were as follows: n: 164234561509513156059577986989906106171934132888028769119209287425819300531839851018650683147993068405231892891527461 m: 100000000000000000000000000 deg: 6 c6: 10 c3: 18 c0: -1 skew: 0.68 type: snfs lss: 1 rlim: 2900000 alim: 2900000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4 qintsize: 160000 Factor 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, 3050001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 471344 x 471571 Total sieving time: 0.00 hours. Total relation processing time: 0.07 hours. Matrix solve time: 0.13 hours. Time per square root: 0.12 hours. Prototype def-par.txt line would be: snfs,157.000,6,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000 total time: 0.32 hours. --------- CPU info (if available) ---------- Intel(R) Xeon(R) CPU E5620 @ 2.40GHz stepping 02 Intel(R) Xeon(R) CPU E5620 @ 2.40GHz stepping 02 Intel(R) Xeon(R) CPU E5620 @ 2.40GHz stepping 02 Intel(R) Xeon(R) CPU E5620 @ 2.40GHz stepping 02 Intel(R) Xeon(R) CPU E5620 @ 2.40GHz stepping 02 Intel(R) Xeon(R) CPU E5620 @ 2.40GHz stepping 02 Intel(R) Xeon(R) CPU E5620 @ 2.40GHz stepping 02 Intel(R) Xeon(R) CPU E5620 @ 2.40GHz stepping 02 Intel(R) Xeon(R) CPU E5620 @ 2.40GHz stepping 02 Intel(R) Xeon(R) CPU E5620 @ 2.40GHz stepping 02 Intel(R) Xeon(R) CPU E5620 @ 2.40GHz stepping 02 Intel(R) Xeon(R) CPU E5620 @ 2.40GHz stepping 02 Intel(R) Xeon(R) CPU E5620 @ 2.40GHz stepping 02 Intel(R) Xeon(R) CPU E5620 @ 2.40GHz stepping 02 Intel(R) Xeon(R) CPU E5620 @ 2.40GHz stepping 02 Memory for crash kernel (0x0 to 0x0) notwithin permissible range Memory: 24622496k/26214400k available (2569k kernel code, 534140k reserved, 1365k data, 228k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.31 BogoMIPS (lpj=2400155) Calibrating delay using timer specific routine.. 4757.97 BogoMIPS (lpj=2378989) Calibrating delay using timer specific routine.. 4800.06 BogoMIPS (lpj=2400034) Calibrating delay using timer specific routine.. 4800.07 BogoMIPS (lpj=2400036) Calibrating delay using timer specific routine.. 4800.11 BogoMIPS (lpj=2400056) Calibrating delay using timer specific routine.. 4800.11 BogoMIPS (lpj=2400055) Calibrating delay using timer specific routine.. 4800.39 BogoMIPS (lpj=2400195) Calibrating delay using timer specific routine.. 4800.32 BogoMIPS (lpj=2400160) Calibrating delay using timer specific routine.. 4800.31 BogoMIPS (lpj=2400159) Calibrating delay using timer specific routine.. 4800.21 BogoMIPS (lpj=2400108) Calibrating delay using timer specific routine.. 4800.18 BogoMIPS (lpj=2400094) Calibrating delay using timer specific routine.. 4800.07 BogoMIPS (lpj=2400037) Calibrating delay using timer specific routine.. 4800.18 BogoMIPS (lpj=2400090) Calibrating delay using timer specific routine.. 4800.10 BogoMIPS (lpj=2400053) Calibrating delay using timer specific routine.. 4800.11 BogoMIPS (lpj=2400055) Calibrating delay using timer specific routine.. 4800.10 BogoMIPS (lpj=2400054)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 27, 2011 02:00:00 UTC 2011 年 1 月 27 日 (木) 11 時 0 分 0 秒 (日本時間)

## 10159+18×1079-19

### c113

name 名前 Dmitry Domanov January 28, 2011 11:49:52 UTC 2011 年 1 月 28 日 (金) 20 時 49 分 52 秒 (日本時間) `11812144023036053787190799662173420336786307270239335997929200205107705621161781578375580938324148263858722570063<113>` ```6320339049090075586799595873745647288460433<43> 1868909868804683904242027320464292954596978602557746783768728367814111<70>``` ```Number: 113q N=11812144023036053787190799662173420336786307270239335997929200205107705621161781578375580938324148263858722570063 ( 113 digits) Divisors found: r1=6320339049090075586799595873745647288460433 (pp43) r2=1868909868804683904242027320464292954596978602557746783768728367814111 (pp70) Version: Msieve-1.40 Total time: 17.12 hours. Scaled time: 32.90 units (timescale=1.922). Factorization parameters were as follows: name: 113q n: 11812144023036053787190799662173420336786307270239335997929200205107705621161781578375580938324148263858722570063 skew: 29214.86 # norm 2.90e+015 c5: 48240 c4: -5350664726 c3: -144484528198143 c2: 4574260298611563522 c1: 45897099685416050104552 c0: -268676517848358212590884432 # alpha -6.28 Y1: 2220466665571 Y0: -3004632822289766597635 # Murphy_E 7.79e-010 # M 11757158861927966253241665728294663886132831716453364935384652289349841450581503408074060664667236846555910736989 type: gnfs rlim: 3500000 alim: 3500000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.6 alambda: 2.6 qintsize: 100000 Factor base limits: 3500000/3500000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved algebraic special-q in [1750000, 2650001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 476364 x 476592 Total sieving time: 16.64 hours. Total relation processing time: 0.06 hours. Matrix solve time: 0.25 hours. Time per square root: 0.17 hours. Prototype def-par.txt line would be: gnfs,112,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000 total time: 17.12 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
3025e40--
351e6118 / 904Makoto KamadaJanuary 27, 2011 02:00:00 UTC 2011 年 1 月 27 日 (木) 11 時 0 分 0 秒 (日本時間)

## 10163+18×1081-19

### c142

name 名前 Serge Batalov January 27, 2011 06:30:35 UTC 2011 年 1 月 27 日 (木) 15 時 30 分 35 秒 (日本時間) `4813393636838660336607796441206227744951181868431889862517050372596276997887449969118735634761133505761212796364162250379701629340048980112393<142>` ```1119204247922864094946211131049741<34> 4300728527229822419282237445232300345991145700031963346507729618593233132104552037728590906028894865586299373<109>``` ```Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=3269300322 Step 1 took 6313ms Step 2 took 3000ms ********** Factor found in step 2: 1119204247922864094946211131049741 Found probable prime factor of 34 digits: 1119204247922864094946211131049741 Probable prime cofactor has 109 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 27, 2011 02:00:00 UTC 2011 年 1 月 27 日 (木) 11 時 0 分 0 秒 (日本時間)

## 10167+18×1083-19

### c106

name 名前 Dmitry Domanov January 27, 2011 14:58:37 UTC 2011 年 1 月 27 日 (木) 23 時 58 分 37 秒 (日本時間) `5567938820694772910110826799389711969710263835124603546082186390695641108002815976550617576497419547310251<106>` ```695518684009760291672111465950327636721<39> 8005448234107593578866311250000480120366520237696348121233492163931<67>``` ```Number: 106o N=5567938820694772910110826799389711969710263835124603546082186390695641108002815976550617576497419547310251 ( 106 digits) Divisors found: r1=695518684009760291672111465950327636721 (pp39) r2=8005448234107593578866311250000480120366520237696348121233492163931 (pp67) Version: Msieve-1.40 Total time: 7.38 hours. Scaled time: 14.23 units (timescale=1.928). Factorization parameters were as follows: name: 106o n: 5567938820694772910110826799389711969710263835124603546082186390695641108002815976550617576497419547310251 skew: 16113.90 # norm 2.08e+014 c5: 25440 c4: -159047036 c3: -3365773644001 c2: 115455172294629999 c1: -748367149366273330941 c0: -10918924388232292698472710 # alpha -5.97 Y1: 55046462281 Y0: -185368369885832782091 # Murphy_E 1.75e-009 # M 786259827563125893193189222883647554146248597574102726879993601272301437704505057683754105350020782182125 type: gnfs rlim: 2500000 alim: 2500000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.6 alambda: 2.6 qintsize: 150000 Factor base limits: 2500000/2500000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved algebraic special-q in [1250000, 2150001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 298416 x 298643 Polynomial selection time: 0.84 hours. Total sieving time: 6.13 hours. Total relation processing time: 0.04 hours. Matrix solve time: 0.26 hours. Time per square root: 0.11 hours. Prototype def-par.txt line would be: gnfs,105,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000 total time: 7.38 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
3025e40--
351e6118 / 904Makoto KamadaJanuary 27, 2011 02:00:00 UTC 2011 年 1 月 27 日 (木) 11 時 0 分 0 秒 (日本時間)

## 10169+18×1084-19

### c160

name 名前 Dmitry Domanov January 27, 2011 15:03:37 UTC 2011 年 1 月 28 日 (金) 0 時 3 分 37 秒 (日本時間) `2403867108517537541217273356246085949955481547025802835742363587819900267558510210161959399791758328974106631737689111495252440466165534750189097621934390434327<160>` ```138094255347927378062437864088919082649<39> 3891696406263672104937083577078012907934651<43> 4472969010508965496068672580839255672968479596968381281985485370783307155462173<79>``` ```N=2403867108517537541217273356246085949955481547025802835742363587819900267558510210161959399791758328974106631737689111495252440466165534750189097621934390434327 ( 160 digits) SNFS difficulty: 169 digits. Divisors found: Version: Msieve v. 1.47 Total time: 0.49 hours. Scaled time: 0.93 units (timescale=1.922). Factorization parameters were as follows: n: 2403867108517537541217273356246085949955481547025802835742363587819900267558510210161959399791758328974106631737689111495252440466165534750189097621934390434327 m: 10000000000000000000000000000 deg: 6 c6: 10 c3: 18 c0: -1 skew: 0.68 type: snfs lss: 1 rlim: 4600000 alim: 4600000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 qintsize: 240000 Factor base limits: 4600000/4600000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved rational special-q in [2300000, 5420001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 783858 x 784084 Total sieving time: 0.00 hours. Total relation processing time: 0.11 hours. Matrix solve time: 0.37 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,169.000,6,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000 total time: 0.49 hours. --------- CPU info (if available) ---------- Intel(R) Xeon(R) CPU E5620 @ 2.40GHz stepping 02 Intel(R) Xeon(R) CPU E5620 @ 2.40GHz stepping 02 Intel(R) Xeon(R) CPU E5620 @ 2.40GHz stepping 02 Intel(R) Xeon(R) CPU E5620 @ 2.40GHz stepping 02 Intel(R) Xeon(R) CPU E5620 @ 2.40GHz stepping 02 Intel(R) Xeon(R) CPU E5620 @ 2.40GHz stepping 02 Intel(R) Xeon(R) CPU E5620 @ 2.40GHz stepping 02 Intel(R) Xeon(R) CPU E5620 @ 2.40GHz stepping 02 Intel(R) Xeon(R) CPU E5620 @ 2.40GHz stepping 02 Intel(R) Xeon(R) CPU E5620 @ 2.40GHz stepping 02 Intel(R) Xeon(R) CPU E5620 @ 2.40GHz stepping 02 Intel(R) Xeon(R) CPU E5620 @ 2.40GHz stepping 02 Intel(R) Xeon(R) CPU E5620 @ 2.40GHz stepping 02 Intel(R) Xeon(R) CPU E5620 @ 2.40GHz stepping 02 Intel(R) Xeon(R) CPU E5620 @ 2.40GHz stepping 02 Memory for crash kernel (0x0 to 0x0) notwithin permissible range Memory: 24622496k/26214400k available (2569k kernel code, 534140k reserved, 1365k data, 228k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.31 BogoMIPS (lpj=2400155) Calibrating delay using timer specific routine.. 4757.97 BogoMIPS (lpj=2378989) Calibrating delay using timer specific routine.. 4800.06 BogoMIPS (lpj=2400034) Calibrating delay using timer specific routine.. 4800.07 BogoMIPS (lpj=2400036) Calibrating delay using timer specific routine.. 4800.11 BogoMIPS (lpj=2400056) Calibrating delay using timer specific routine.. 4800.11 BogoMIPS (lpj=2400055) Calibrating delay using timer specific routine.. 4800.39 BogoMIPS (lpj=2400195) Calibrating delay using timer specific routine.. 4800.32 BogoMIPS (lpj=2400160) Calibrating delay using timer specific routine.. 4800.31 BogoMIPS (lpj=2400159) Calibrating delay using timer specific routine.. 4800.21 BogoMIPS (lpj=2400108) Calibrating delay using timer specific routine.. 4800.18 BogoMIPS (lpj=2400094) Calibrating delay using timer specific routine.. 4800.07 BogoMIPS (lpj=2400037) Calibrating delay using timer specific routine.. 4800.18 BogoMIPS (lpj=2400090) Calibrating delay using timer specific routine.. 4800.10 BogoMIPS (lpj=2400053) Calibrating delay using timer specific routine.. 4800.11 BogoMIPS (lpj=2400055) Calibrating delay using timer specific routine.. 4800.10 BogoMIPS (lpj=2400054) Msieve v. 1.48 Thu Jan 27 17:45:09 2011 random seeds: f2c07a8d 6b8462f4 factoring 2403867108517537541217273356246085949955481547025802835742363587819900267558510210161959399791758328974106631737689111495252440466165534750189097621934390434327 (160 digits) searching for 15-digit factors commencing number field sieve (160-digit input) R0: -10000000000000000000000000000 R1: 1 A0: -1 A1: 0 A2: 0 A3: 18 A4: 0 A5: 0 A6: 10 skew 0.68, size 2.860e-08, alpha 0.365, combined = 1.563e-10 rroots = 2 commencing square root phase reading relations for dependency 1 read 392460 cycles cycles contain 1272592 unique relations read 1272592 relations multiplying 1272592 relations multiply complete, coefficients have about 31.66 million bits initial square root is modulo 1238189119 reading relations for dependency 2 read 392307 cycles cycles contain 1272828 unique relations read 1272828 relations multiplying 1272828 relations multiply complete, coefficients have about 31.67 million bits initial square root is modulo 1245176189 sqrtTime: 901 prp39 factor: 138094255347927378062437864088919082649 prp43 factor: 3891696406263672104937083577078012907934651 prp79 factor: 4472969010508965496068672580839255672968479596968381281985485370783307155462173 elapsed time 00:15:04```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 27, 2011 02:00:00 UTC 2011 年 1 月 27 日 (木) 11 時 0 分 0 秒 (日本時間)

## 10171+18×1085-19

### c129

name 名前 Serge Batalov January 27, 2011 07:55:56 UTC 2011 年 1 月 27 日 (木) 16 時 55 分 56 秒 (日本時間) `370522437917859541952649229969247835918573998681149834211986430458109368709291136913190293935949624500300620670337861790925813727<129>` ```1465332041484118052237966036237<31> 222096851425933155642183978925117479602444029<45> 1138507943203106583966884639042534032794974791609966199<55>``` ```Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=2135908759 Step 1 took 5276ms Step 2 took 2764ms ********** Factor found in step 2: 1465332041484118052237966036237 Found probable prime factor of 31 digits: 1465332041484118052237966036237 Composite cofactor 252859029508825106688603720725928700545782787671149243047189994383222271288744647705035754479375771 has 99 digits Divisors found: r1=222096851425933155642183978925117479602444029 (pp45) r2=1138507943203106583966884639042534032794974791609966199 (pp55) Version: Msieve v. 1.48 SVN488 LARGE_BLOCKS zlib option -D density Total time: 1.70 hours. Scaled time: 4.08 units (timescale=2.400). Factorization parameters were as follows: name: test type: gnfs n: 252859029508825106688603720725928700545782787671149243047189994383222271288744647705035754479375771 skew: 4695606.77 Y0: -1013174597228504555531010 Y1: 25954801995589 c0: 32745097669435031185573095611 c1: 13491335929103354793598 c2: -11137234110868891 c3: -1508450358 c4: 240 Factor base limits: 1500000/1500000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved algebraic special-q in [937500, 1357501) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 162920 x 163153 Total sieving time: 1.60 hours. Total relation processing time: 0.01 hours. Matrix solve time: 0.06 hours. Time per square root: 0.03 hours. Prototype def-par.txt line would be: gnfs,98,4,1500000,1500000,25,25,46,46,2.5,2.5,70000 total time: 1.70 hours.``` `GMP-ECM 6.2.3 + msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 27, 2011 02:00:00 UTC 2011 年 1 月 27 日 (木) 11 時 0 分 0 秒 (日本時間)

## 10173+18×1086-19

### c118

name 名前 Serge Batalov January 27, 2011 08:39:33 UTC 2011 年 1 月 27 日 (木) 17 時 39 分 33 秒 (日本時間) `8008570939973505609031406816299021055599131913422800541741835388311870188594679151339657639615844579583039317040192901<118>` ```13210248527089083163689785022501848953<38> 606239233391486965487278693412706597876485552533635622689915568760712963377751917<81>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=13913281 Step 1 took 7996ms Step 2 took 3828ms ********** Factor found in step 2: 13210248527089083163689785022501848953 Found probable prime factor of 38 digits: 13210248527089083163689785022501848953 Probable prime cofactor 606239233391486965487278693412706597876485552533635622689915568760712963377751917 has 81 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 27, 2011 02:00:00 UTC 2011 年 1 月 27 日 (木) 11 時 0 分 0 秒 (日本時間)
403e6800 / 2318Serge BatalovJanuary 27, 2011 08:31:09 UTC 2011 年 1 月 27 日 (木) 17 時 31 分 9 秒 (日本時間)

## 10175+18×1087-19

### c171

name 名前 Serge Batalov January 27, 2011 07:57:40 UTC 2011 年 1 月 27 日 (木) 16 時 57 分 40 秒 (日本時間) `657851457140977567265311492664956252878100124991776856785737780409183606341688046839024932570225643049799355305572001841984079994737188342872179461877508058680349976975199<171>` `1450598974316272109474849480200223<34>` `453503324343001440880306020218070055898951459663771982521709346413126991650095154688263636067069018566299095913012311187673681940218450113<138>` ```Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=1581073136 Step 1 took 7696ms Step 2 took 3508ms ********** Factor found in step 2: 1450598974316272109474849480200223 Found probable prime factor of 34 digits: 1450598974316272109474849480200223 Composite cofactor 453503324343001440880306020218070055898951459663771982521709346413126991650095154688263636067069018566299095913012311187673681940218450113 has 138 digits```

### c138

name 名前 Wataru Sakai April 18, 2011 07:36:14 UTC 2011 年 4 月 18 日 (月) 16 時 36 分 14 秒 (日本時間) `453503324343001440880306020218070055898951459663771982521709346413126991650095154688263636067069018566299095913012311187673681940218450113<138>` `206276754324107298929959269801116611<36>` `2198518809494381746420017155611929379547669451203240064295473794006942451328253311255819416471659357483<103>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2692803813 Step 1 took 9321ms Step 2 took 4239ms ********** Factor found in step 2: 206276754324107298929959269801116611 Found probable prime factor of 36 digits: 206276754324107298929959269801116611 Composite cofactor 2198518809494381746420017155611929379547669451203240064295473794006942451328253311255819416471659357483 has 103 digits``` `GMP-ECM 6.3`

### c103

name 名前 Serge Batalov April 19, 2011 02:33:19 UTC 2011 年 4 月 19 日 (火) 11 時 33 分 19 秒 (日本時間) `2198518809494381746420017155611929379547669451203240064295473794006942451328253311255819416471659357483<103>` ```10582892832241657211822415196622119324267<41> 207742707437838979617491913419593313134331849245279312026845249<63>``` ```Divisors found: r1=10582892832241657211822415196622119324267 (pp41) r2=207742707437838979617491913419593313134331849245279312026845249 (pp63) Version: Msieve v. 1.49 SVN548 option -D density Total time: 4.30 hours. Scaled time: 10.32 units (timescale=2.400). Factorization parameters were as follows: name: test type: gnfs n: 2198518809494381746420017155611929379547669451203240064295473794006942451328253311255819416471659357483 skew: 16117364.72 Y0: -9783476934897935465488011 Y1: 146288839681381 c0: -2744654580144725333321036249470 c1: -104853275942311811769749 c2: -45909758439408431 c3: -1993371907 c4: 240 Factor base limits: 2300000/2300000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved algebraic special-q in [1437500, 2137501) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 308918 x 309144 Total sieving time: 3.83 hours. Total relation processing time: 0.08 hours. Matrix solve time: 0.29 hours. Time per square root: 0.10 hours. Prototype def-par.txt line would be: gnfs,102,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000 total time: 4.30 hours.```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 27, 2011 02:00:00 UTC 2011 年 1 月 27 日 (木) 11 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 27, 2011 21:07:22 UTC 2011 年 1 月 28 日 (金) 6 時 7 分 22 秒 (日本時間)

## 10177+18×1088-19

### c151

name 名前 Jo Yeong Uk September 3, 2011 15:15:10 UTC 2011 年 9 月 4 日 (日) 0 時 15 分 10 秒 (日本時間) `5571217296996364769369386140834017391640615827642047371630364868359630361431502473003927074770399929161343923212885127064228727436602045919381288486607<151>` ```348277289544965875853110948405333163391339693181<48> 15996498951382439145338254716866459661424227535236180775814745953529543317619044395261918020093526169147<104>``` ```Number: 11311_88 N=5571217296996364769369386140834017391640615827642047371630364868359630361431502473003927074770399929161343923212885127064228727436602045919381288486607 ( 151 digits) SNFS difficulty: 177 digits. Divisors found: r1=348277289544965875853110948405333163391339693181 r2=15996498951382439145338254716866459661424227535236180775814745953529543317619044395261918020093526169147 Version: Total time: 78.84 hours. Scaled time: 187.95 units (timescale=2.384). Factorization parameters were as follows: n: 5571217296996364769369386140834017391640615827642047371630364868359630361431502473003927074770399929161343923212885127064228727436602045919381288486607 m: 100000000000000000000000000000 deg: 6 c6: 1000 c3: 180 c0: -1 skew: 0.32 type: snfs lss: 1 rlim: 9000000 alim: 9000000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 9000000/9000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved rational special-q in [4500000, 9600001) Primes: rational ideals reading, algebraic ideals reading, Relations: 18316686 Max relations in full relation-set: Initial matrix: Pruned matrix : 1431806 x 1432054 Total sieving time: 68.49 hours. Total relation processing time: 5.39 hours. Matrix solve time: 4.44 hours. Time per square root: 0.51 hours. Prototype def-par.txt line would be: snfs,177,6,0,0,0,0,0,0,0,0,9000000,9000000,28,28,53,53,2.5,2.5,100000 total time: 78.84 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Memory: 8044964k/9175040k available (4939k kernel code, 788820k absent, 341256k reserved, 3931k data, 1220k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 5345.81 BogoMIPS (lpj=2672908) Total of 4 processors activated (21381.87 BogoMIPS).``` `GGNFS / Msieve v1.39` `Core 2 Quad Q6700`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 27, 2011 02:00:00 UTC 2011 年 1 月 27 日 (木) 11 時 0 分 0 秒 (日本時間)
403e62318800Serge BatalovJanuary 27, 2011 08:31:28 UTC 2011 年 1 月 27 日 (木) 17 時 31 分 28 秒 (日本時間)
800Serge BatalovJanuary 27, 2011 08:45:00 UTC 2011 年 1 月 27 日 (木) 17 時 45 分 0 秒 (日本時間)
718Jo Yeong UkAugust 28, 2011 02:50:15 UTC 2011 年 8 月 28 日 (日) 11 時 50 分 15 秒 (日本時間)

## 10179+18×1089-19

### c142

name 名前 Jo Yeong Uk September 17, 2011 00:11:46 UTC 2011 年 9 月 17 日 (土) 9 時 11 分 46 秒 (日本時間) `4165349510111259482206818360651562211901547589508767187621805711891938293370428453286556097964604719842257731047323232397164740602767148331573<142>` ```293300645327975742210637378717545121032748194873749677<54> 14201637727231956165699288478327515501871129981403156108555421812451349922887104485806249<89>``` ```Number: 11311_89 N=4165349510111259482206818360651562211901547589508767187621805711891938293370428453286556097964604719842257731047323232397164740602767148331573 ( 142 digits) SNFS difficulty: 180 digits. Divisors found: r1=293300645327975742210637378717545121032748194873749677 r2=14201637727231956165699288478327515501871129981403156108555421812451349922887104485806249 Version: Total time: 86.71 hours. Scaled time: 206.81 units (timescale=2.385). Factorization parameters were as follows: n: 4165349510111259482206818360651562211901547589508767187621805711891938293370428453286556097964604719842257731047323232397164740602767148331573 m: 1000000000000000000000000000000 deg: 6 c6: 1 c3: 18 c0: -10 skew: 1.47 type: snfs lss: 1 rlim: 5000000 alim: 5000000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 5000000/5000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved rational special-q in [2500000, 5100001) Primes: rational ideals reading, algebraic ideals reading, Relations: 17383319 Max relations in full relation-set: Initial matrix: Pruned matrix : 1121135 x 1121383 Total sieving time: 81.67 hours. Total relation processing time: 2.29 hours. Matrix solve time: 2.58 hours. Time per square root: 0.16 hours. Prototype def-par.txt line would be: snfs,180,6,0,0,0,0,0,0,0,0,5000000,5000000,28,28,53,53,2.5,2.5,100000 total time: 86.71 hours. --------- CPU info (if available) ----------``` `GGNFS / Msieve v1.39` `Core 2 Quad Q6700`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 27, 2011 02:00:00 UTC 2011 年 1 月 27 日 (木) 11 時 0 分 0 秒 (日本時間)
403e62318800Serge BatalovJanuary 27, 2011 08:31:37 UTC 2011 年 1 月 27 日 (木) 17 時 31 分 37 秒 (日本時間)
800Serge BatalovJanuary 27, 2011 08:45:14 UTC 2011 年 1 月 27 日 (木) 17 時 45 分 14 秒 (日本時間)
718Jo Yeong UkAugust 29, 2011 00:58:50 UTC 2011 年 8 月 29 日 (月) 9 時 58 分 50 秒 (日本時間)

## 10183+18×1091-19

### c138

name 名前 Serge Batalov January 27, 2011 08:07:46 UTC 2011 年 1 月 27 日 (木) 17 時 7 分 46 秒 (日本時間) `328226979456450448188993494495827572139442162165634614210168388641886830303663424602100327645928871108883430012925219962682698892430176371<138>` ```117278096136477863874001561103274045772259<42> 2798706580932972789847738499223549128413052492222434101757238345505433887191429862094691644779569<97>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1049703350 Step 1 took 9701ms Step 2 took 4368ms ********** Factor found in step 2: 117278096136477863874001561103274045772259 Found probable prime factor of 42 digits: 117278096136477863874001561103274045772259 Probable prime cofactor 2798706580932972789847738499223549128413052492222434101757238345505433887191429862094691644779569 has 97 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 27, 2011 02:00:00 UTC 2011 年 1 月 27 日 (木) 11 時 0 分 0 秒 (日本時間)

## 10185+18×1092-19

### c145

name 名前 Serge Batalov January 27, 2011 07:18:57 UTC 2011 年 1 月 27 日 (木) 16 時 18 分 57 秒 (日本時間) `1904042411924153874431426853430041449822352373371479039758213800426265744430647387234070898381054507963098307505796529544013621097000578835576971<145>` `178269384425270000484257352404107883<36>` `10680703352752770797895654863491429285140463688693057270934239408237891020065653677293400801332946395111959137<110>` ```Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=1673550252 Step 1 took 6320ms Step 2 took 3041ms ********** Factor found in step 2: 178269384425270000484257352404107883 Found probable prime factor of 36 digits: 178269384425270000484257352404107883 Composite cofactor has 110 digits```

### c110

name 名前 Dmitry Domanov January 28, 2011 11:47:42 UTC 2011 年 1 月 28 日 (金) 20 時 47 分 42 秒 (日本時間) `10680703352752770797895654863491429285140463688693057270934239408237891020065653677293400801332946395111959137<110>` ```22944046480987696558456233829454041753036493<44> 465510883688420217153983121526221935360126068938420535238985959909<66>``` ```Number: 110x N=10680703352752770797895654863491429285140463688693057270934239408237891020065653677293400801332946395111959137 ( 110 digits) Divisors found: r1=22944046480987696558456233829454041753036493 (pp44) r2=465510883688420217153983121526221935360126068938420535238985959909 (pp66) Version: Msieve-1.40 Total time: 14.45 hours. Scaled time: 27.62 units (timescale=1.911). Factorization parameters were as follows: name: 110x n: 10680703352752770797895654863491429285140463688693057270934239408237891020065653677293400801332946395111959137 skew: 23167.22 # norm 2.46e+015 c5: 50220 c4: -814280352 c3: -161383161336233 c2: 371543624116003945 c1: 19719945253563140797073 c0: -67836753741885161289301045 # alpha -6.91 Y1: 917854079219 Y0: -733747088736369183264 # Murphy_E 1.26e-009 # M 5341979684754864759223088194844506931539307556863408076196532313085206231547952195077632463225364913601591848 type: gnfs rlim: 3200000 alim: 3200000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.6 alambda: 2.6 qintsize: 100000 Factor base limits: 3200000/3200000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved algebraic special-q in [1600000, 2200001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 331562 x 331790 Polynomial selection time: 1.44 hours. Total sieving time: 12.76 hours. Total relation processing time: 0.06 hours. Matrix solve time: 0.14 hours. Time per square root: 0.05 hours. Prototype def-par.txt line would be: gnfs,109,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000 total time: 14.45 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
3025e40--
351e6118 / 904Makoto KamadaJanuary 27, 2011 02:00:00 UTC 2011 年 1 月 27 日 (木) 11 時 0 分 0 秒 (日本時間)

## 10189+18×1094-19

### c183

name 名前 Serge Batalov January 27, 2011 06:42:16 UTC 2011 年 1 月 27 日 (木) 15 時 42 分 16 秒 (日本時間) `321062640284307389224559879306132264323166242703450171238759195635346042919011627925643176760773337160400005522277412890087094662429924065474946358459374499342945306658164927951938207<183>` `422098957667177583752315833301941<33>` `760633577630066773134557585948757715163017106298738756214734730849267068624437570112653494331187552336657328080314409293810082168325046478867646013827<150>` ```Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=2861177825 Step 1 took 9168ms Step 2 took 3832ms ********** Factor found in step 2: 422098957667177583752315833301941 Found probable prime factor of 33 digits: 422098957667177583752315833301941 Composite cofactor has 150 dgits```

### c150

name 名前 Jo Yeong Uk October 24, 2011 13:30:27 UTC 2011 年 10 月 24 日 (月) 22 時 30 分 27 秒 (日本時間) `760633577630066773134557585948757715163017106298738756214734730849267068624437570112653494331187552336657328080314409293810082168325046478867646013827<150>` ```42832224028561658263140128375405526644769344167668254754296730582540881<71> 17758442268205737198805326294420681682297521037450124005574139092875059249470867<80>``` ```Number: 11311_94 N=760633577630066773134557585948757715163017106298738756214734730849267068624437570112653494331187552336657328080314409293810082168325046478867646013827 ( 150 digits) SNFS difficulty: 189 digits. Divisors found: r1=42832224028561658263140128375405526644769344167668254754296730582540881 r2=17758442268205737198805326294420681682297521037450124005574139092875059249470867 Version: Total time: 189.52 hours. Scaled time: 452.39 units (timescale=2.387). Factorization parameters were as follows: n: 760633577630066773134557585948757715163017106298738756214734730849267068624437570112653494331187552336657328080314409293810082168325046478867646013827 m: 10000000000000000000000000000000 deg: 6 c6: 1000 c3: 180 c0: -1 skew: 0.32 type: snfs lss: 1 rlim: 9000000 alim: 9000000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 Factor base limits: 9000000/9000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 54/54 Sieved rational special-q in [4500000, 9700001) Primes: rational ideals reading, algebraic ideals reading, Relations: 21078749 Max relations in full relation-set: Initial matrix: Pruned matrix : 1765490 x 1765738 Total sieving time: 175.34 hours. Total relation processing time: 6.61 hours. Matrix solve time: 7.19 hours. Time per square root: 0.38 hours. Prototype def-par.txt line would be: snfs,189,6,0,0,0,0,0,0,0,0,9000000,9000000,28,28,54,54,2.5,2.5,100000 total time: 189.52 hours. --------- CPU info (if available) ----------``` `GGNFS / Msieve v1.39` `Core 2 Quad Q6700`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 27, 2011 02:00:00 UTC 2011 年 1 月 27 日 (木) 11 時 0 分 0 秒 (日本時間)
403e62318500Dmitry DomanovJanuary 30, 2011 21:35:55 UTC 2011 年 1 月 31 日 (月) 6 時 35 分 55 秒 (日本時間)
100Dmitry DomanovJanuary 30, 2011 21:37:15 UTC 2011 年 1 月 31 日 (月) 6 時 37 分 15 秒 (日本時間)
1718Jo Yeong UkSeptember 1, 2011 00:13:07 UTC 2011 年 9 月 1 日 (木) 9 時 13 分 7 秒 (日本時間)
4511e63963Serge BatalovSeptember 26, 2011 03:44:33 UTC 2011 年 9 月 26 日 (月) 12 時 44 分 33 秒 (日本時間)

## 10205+18×10102-19

### c190

name 名前 Alfred Reich October 31, 2016 17:17:50 UTC 2016 年 11 月 1 日 (火) 2 時 17 分 50 秒 (日本時間) `1063842256153673118334068704943456467715228997496131943912249666105728466512990347533127627148378184614578747850747050817760755247913580957523773845436502835420576464797431632691060355329569<190>` ```17655368062011612429586799534000607498665508790752438073560141899778613613<74> 60256022554562442489564749352447256703495040889057449007304403028061314964894917018946296972306952351940986536510213<116>``` ```# # siever: 14e # sieving "on the algebraic side" using the -a option # sieving range: 4000000 .. 18500000 # # Murphy_E = 1.105e-11 # rlim=alim: 18300000 # lpbr=lpba: 30 # mfbr=mfba: 60 # Mon Oct 31 08:30:33 2016 Mon Oct 31 08:30:33 2016 Mon Oct 31 08:30:33 2016 Msieve v. 1.53 (SVN 967) Mon Oct 31 08:30:33 2016 random seeds: 2b910c50 a1c5fac6 Mon Oct 31 08:30:33 2016 factoring 1063842256153673118334068704943456467715228997496131943912249666105728466512990347533127627148378184614578747850747050817760755247913580957523773845436502835420576464797431632691060355329569 (190 digits) Mon Oct 31 08:30:35 2016 no P-1/P+1/ECM available, skipping Mon Oct 31 08:30:35 2016 commencing number field sieve (190-digit input) Mon Oct 31 08:30:35 2016 R0: -10000000000000000000000000000000000 Mon Oct 31 08:30:35 2016 R1: 1 Mon Oct 31 08:30:35 2016 A0: -1 Mon Oct 31 08:30:35 2016 A1: 0 Mon Oct 31 08:30:35 2016 A2: 0 Mon Oct 31 08:30:35 2016 A3: 18 Mon Oct 31 08:30:35 2016 A4: 0 Mon Oct 31 08:30:35 2016 A5: 0 Mon Oct 31 08:30:35 2016 A6: 10 Mon Oct 31 08:30:35 2016 skew 0.68, size 4.692e-010, alpha 0.365, combined = 9.864e-012 rroots = 2 Mon Oct 31 08:30:35 2016 Mon Oct 31 08:30:35 2016 commencing relation filtering Mon Oct 31 08:30:35 2016 estimated available RAM is 24567.3 MB Mon Oct 31 08:30:35 2016 commencing duplicate removal, pass 1 Mon Oct 31 08:46:28 2016 skipped 2 relations with b > 2^32 Mon Oct 31 08:46:28 2016 skipped 29 relations with composite factors Mon Oct 31 08:46:28 2016 found 7638256 hash collisions in 72495576 relations Mon Oct 31 08:47:02 2016 added 405467 free relations Mon Oct 31 08:47:02 2016 commencing duplicate removal, pass 2 Mon Oct 31 08:47:32 2016 found 6243058 duplicates and 66657985 unique relations Mon Oct 31 08:47:32 2016 memory use: 277.2 MB Mon Oct 31 08:47:32 2016 reading ideals above 720000 Mon Oct 31 08:47:33 2016 commencing singleton removal, initial pass Mon Oct 31 09:00:35 2016 memory use: 1506.0 MB Mon Oct 31 09:00:36 2016 reading all ideals from disk Mon Oct 31 09:00:38 2016 memory use: 2276.8 MB Mon Oct 31 09:00:44 2016 keeping 73307283 ideals with weight <= 200, target excess is 431260 Mon Oct 31 09:00:51 2016 commencing in-memory singleton removal Mon Oct 31 09:00:57 2016 begin with 66657985 relations and 73307283 unique ideals Mon Oct 31 09:01:50 2016 reduce to 22235508 relations and 20394242 ideals in 24 passes Mon Oct 31 09:01:51 2016 max relations containing the same ideal: 98 Mon Oct 31 09:02:03 2016 removing 3595550 relations and 3195550 ideals in 400000 cliques Mon Oct 31 09:02:04 2016 commencing in-memory singleton removal Mon Oct 31 09:02:05 2016 begin with 18639958 relations and 20394242 unique ideals Mon Oct 31 09:02:24 2016 reduce to 18126266 relations and 16671838 ideals in 13 passes Mon Oct 31 09:02:24 2016 max relations containing the same ideal: 86 Mon Oct 31 09:02:32 2016 removing 2646692 relations and 2246692 ideals in 400000 cliques Mon Oct 31 09:02:33 2016 commencing in-memory singleton removal Mon Oct 31 09:02:34 2016 begin with 15479574 relations and 16671838 unique ideals Mon Oct 31 09:02:47 2016 reduce to 15144703 relations and 14082317 ideals in 12 passes Mon Oct 31 09:02:47 2016 max relations containing the same ideal: 75 Mon Oct 31 09:02:53 2016 removing 2348956 relations and 1948956 ideals in 400000 cliques Mon Oct 31 09:02:54 2016 commencing in-memory singleton removal Mon Oct 31 09:02:55 2016 begin with 12795747 relations and 14082317 unique ideals Mon Oct 31 09:03:05 2016 reduce to 12476948 relations and 11806332 ideals in 12 passes Mon Oct 31 09:03:05 2016 max relations containing the same ideal: 65 Mon Oct 31 09:03:11 2016 removing 1161545 relations and 991191 ideals in 170354 cliques Mon Oct 31 09:03:11 2016 commencing in-memory singleton removal Mon Oct 31 09:03:12 2016 begin with 11315403 relations and 11806332 unique ideals Mon Oct 31 09:03:18 2016 reduce to 11229495 relations and 10728116 ideals in 9 passes Mon Oct 31 09:03:18 2016 max relations containing the same ideal: 62 Mon Oct 31 09:03:25 2016 relations with 0 large ideals: 6054 Mon Oct 31 09:03:25 2016 relations with 1 large ideals: 35659 Mon Oct 31 09:03:25 2016 relations with 2 large ideals: 254048 Mon Oct 31 09:03:25 2016 relations with 3 large ideals: 998393 Mon Oct 31 09:03:25 2016 relations with 4 large ideals: 2296180 Mon Oct 31 09:03:25 2016 relations with 5 large ideals: 3182325 Mon Oct 31 09:03:25 2016 relations with 6 large ideals: 2645655 Mon Oct 31 09:03:25 2016 relations with 7+ large ideals: 1811181 Mon Oct 31 09:03:25 2016 commencing 2-way merge Mon Oct 31 09:03:32 2016 reduce to 6206581 relation sets and 5705202 unique ideals Mon Oct 31 09:03:32 2016 commencing full merge Mon Oct 31 09:04:36 2016 memory use: 619.6 MB Mon Oct 31 09:04:37 2016 found 3229734 cycles, need 3161402 Mon Oct 31 09:04:37 2016 weight of 3161402 cycles is about 221486308 (70.06/cycle) Mon Oct 31 09:04:37 2016 distribution of cycle lengths: Mon Oct 31 09:04:37 2016 1 relations: 403874 Mon Oct 31 09:04:37 2016 2 relations: 370606 Mon Oct 31 09:04:37 2016 3 relations: 376233 Mon Oct 31 09:04:37 2016 4 relations: 341550 Mon Oct 31 09:04:37 2016 5 relations: 299086 Mon Oct 31 09:04:37 2016 6 relations: 267255 Mon Oct 31 09:04:37 2016 7 relations: 232958 Mon Oct 31 09:04:37 2016 8 relations: 197804 Mon Oct 31 09:04:37 2016 9 relations: 166293 Mon Oct 31 09:04:37 2016 10+ relations: 505743 Mon Oct 31 09:04:37 2016 heaviest cycle: 18 relations Mon Oct 31 09:04:38 2016 commencing cycle optimization Mon Oct 31 09:04:42 2016 start with 17476040 relations Mon Oct 31 09:05:03 2016 pruned 285295 relations Mon Oct 31 09:05:03 2016 memory use: 622.5 MB Mon Oct 31 09:05:03 2016 distribution of cycle lengths: Mon Oct 31 09:05:03 2016 1 relations: 403874 Mon Oct 31 09:05:03 2016 2 relations: 377491 Mon Oct 31 09:05:03 2016 3 relations: 386233 Mon Oct 31 09:05:03 2016 4 relations: 346854 Mon Oct 31 09:05:03 2016 5 relations: 303837 Mon Oct 31 09:05:03 2016 6 relations: 269123 Mon Oct 31 09:05:03 2016 7 relations: 233902 Mon Oct 31 09:05:03 2016 8 relations: 196877 Mon Oct 31 09:05:03 2016 9 relations: 165066 Mon Oct 31 09:05:03 2016 10+ relations: 478145 Mon Oct 31 09:05:03 2016 heaviest cycle: 18 relations Mon Oct 31 09:05:08 2016 RelProcTime: 2073 Mon Oct 31 09:05:08 2016 Mon Oct 31 09:05:08 2016 commencing linear algebra Mon Oct 31 09:05:08 2016 read 3161402 cycles Mon Oct 31 09:05:13 2016 cycles contain 10745496 unique relations Mon Oct 31 09:07:06 2016 read 10745496 relations Mon Oct 31 09:07:21 2016 using 20 quadratic characters above 1073741468 Mon Oct 31 09:08:10 2016 building initial matrix Mon Oct 31 09:09:53 2016 memory use: 1335.6 MB Mon Oct 31 09:09:59 2016 read 3161402 cycles Mon Oct 31 09:10:00 2016 matrix is 3161212 x 3161402 (958.3 MB) with weight 281302830 (88.98/col) Mon Oct 31 09:10:00 2016 sparse part has weight 216435910 (68.46/col) Mon Oct 31 09:10:30 2016 filtering completed in 2 passes Mon Oct 31 09:10:31 2016 matrix is 3150129 x 3150317 (957.4 MB) with weight 280957096 (89.18/col) Mon Oct 31 09:10:31 2016 sparse part has weight 216312673 (68.66/col) Mon Oct 31 11:13:53 2016 matrix starts at (0, 0) Mon Oct 31 11:13:54 2016 matrix is 3150129 x 3150317 (957.4 MB) with weight 280957096 (89.18/col) Mon Oct 31 11:13:54 2016 sparse part has weight 216312673 (68.66/col) Mon Oct 31 11:13:54 2016 saving the first 48 matrix rows for later Mon Oct 31 11:13:55 2016 matrix includes 64 packed rows Mon Oct 31 11:13:55 2016 matrix is 3150081 x 3150317 (909.3 MB) with weight 223329891 (70.89/col) Mon Oct 31 11:13:55 2016 sparse part has weight 206876806 (65.67/col) Mon Oct 31 11:13:55 2016 using block size 8192 and superblock size 1179648 for processor cache size 12288 kB Mon Oct 31 11:14:08 2016 commencing Lanczos iteration (12 threads) Mon Oct 31 11:14:08 2016 memory use: 737.2 MB Mon Oct 31 11:14:19 2016 linear algebra at 0.0%, ETA 5h46m Mon Oct 31 11:14:22 2016 checkpointing every 560000 dimensions Mon Oct 31 17:04:29 2016 lanczos halted after 49821 iterations (dim = 3150074) Mon Oct 31 17:04:40 2016 recovered 29 nontrivial dependencies Mon Oct 31 17:04:41 2016 BLanczosTime: 28773 Mon Oct 31 17:04:41 2016 Mon Oct 31 17:04:41 2016 commencing square root phase Mon Oct 31 17:04:41 2016 reading relations for dependency 1 Mon Oct 31 17:04:42 2016 read 1575168 cycles Mon Oct 31 17:04:44 2016 cycles contain 5373802 unique relations Mon Oct 31 17:08:22 2016 read 5373802 relations Mon Oct 31 17:08:48 2016 multiplying 5373802 relations Mon Oct 31 17:15:05 2016 multiply complete, coefficients have about 143.98 million bits Mon Oct 31 17:15:07 2016 initial square root is modulo 146977 Mon Oct 31 17:22:45 2016 GCD is N, no factor found Mon Oct 31 17:22:46 2016 reading relations for dependency 2 Mon Oct 31 17:22:46 2016 read 1574497 cycles Mon Oct 31 17:22:49 2016 cycles contain 5368796 unique relations Mon Oct 31 17:23:50 2016 read 5368796 relations Mon Oct 31 17:24:17 2016 multiplying 5368796 relations Mon Oct 31 17:30:33 2016 multiply complete, coefficients have about 143.84 million bits Mon Oct 31 17:30:34 2016 initial square root is modulo 145423 Mon Oct 31 17:38:14 2016 GCD is N, no factor found Mon Oct 31 17:38:15 2016 reading relations for dependency 3 Mon Oct 31 17:38:16 2016 read 1574577 cycles Mon Oct 31 17:38:18 2016 cycles contain 5369620 unique relations Mon Oct 31 17:39:20 2016 read 5369620 relations Mon Oct 31 17:39:46 2016 multiplying 5369620 relations Mon Oct 31 17:46:03 2016 multiply complete, coefficients have about 143.86 million bits Mon Oct 31 17:46:04 2016 initial square root is modulo 145531 Mon Oct 31 17:53:38 2016 GCD is N, no factor found Mon Oct 31 17:53:39 2016 reading relations for dependency 4 Mon Oct 31 17:53:39 2016 read 1575489 cycles Mon Oct 31 17:53:42 2016 cycles contain 5373592 unique relations Mon Oct 31 17:54:43 2016 read 5373592 relations Mon Oct 31 17:55:10 2016 multiplying 5373592 relations Mon Oct 31 18:01:28 2016 multiply complete, coefficients have about 143.97 million bits Mon Oct 31 18:01:30 2016 initial square root is modulo 146977 Mon Oct 31 18:09:10 2016 sqrtTime: 3869 Mon Oct 31 18:09:11 2016 prp74 factor: 17655368062011612429586799534000607498665508790752438073560141899778613613 Mon Oct 31 18:09:11 2016 prp116 factor: 60256022554562442489564749352447256703495040889057449007304403028061314964894917018946296972306952351940986536510213 Mon Oct 31 18:09:11 2016 elapsed time 09:38:38```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 9, 2011 01:00:00 UTC 2011 年 11 月 9 日 (水) 10 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovNovember 18, 2011 20:56:05 UTC 2011 年 11 月 19 日 (土) 5 時 56 分 5 秒 (日本時間)
4511e64409600Dmitry DomanovNovember 26, 2011 14:05:02 UTC 2011 年 11 月 26 日 (土) 23 時 5 分 2 秒 (日本時間)
3809yas matAugust 27, 2014 23:52:13 UTC 2014 年 8 月 28 日 (木) 8 時 52 分 13 秒 (日本時間)
5043e665522300yas matSeptember 1, 2014 02:06:33 UTC 2014 年 9 月 1 日 (月) 11 時 6 分 33 秒 (日本時間)
4252yas matSeptember 11, 2014 23:50:12 UTC 2014 年 9 月 12 日 (金) 8 時 50 分 12 秒 (日本時間)

## 10207+18×10103-19

### c188

name 名前 Alfred Reich October 29, 2016 05:46:28 UTC 2016 年 10 月 29 日 (土) 14 時 46 分 28 秒 (日本時間) `18679441988147844751037837878129877147411031979891295956439317505079330973877404077493789626844120737940058754532760589138859584527312106907150094738976194932217531687073113153384144065039<188>` ```3724161603139849816143766890223038700947334723<46> 3712578004916249190523260349678311450899510681449<49> 1351013824005414412487323308503097892088692490791779062705509405260056382712633404788177272957<94>``` ```GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM] Resuming ECM residue saved by with GMP-ECM 7.0-dev on Wed Oct 19 11:25:08 2016 Input number is 18679441988147844751037837878129877147411031979891295956439317505079330973877404077493789626844120737940058754532760589138859584527312106907150094738976194932217531687073113153384144065039 (188 digits) Using B1=100000000-10000000, B2=35132741290, polynomial Dickson(12), sigma=3:2061620941 Step 1 took 0ms Step 2 took 25631ms ********** Factor found in step 2: 3724161603139849816143766890223038700947334723 Found probable prime factor of 46 digits: 3724161603139849816143766890223038700947334723 Composite cofactor 5015744207340294047335714921010249137225484490496973118522406369112102399121153319609092471246731646621493385745656367951842855946165549274693 has 142 digits Wed Oct 26 09:39:25 2016 Msieve v. 1.53 (SVN 967) Wed Oct 26 09:39:25 2016 random seeds: 85ec27c4 c2166488 Wed Oct 26 09:39:25 2016 factoring 5015744207340294047335714921010249137225484490496973118522406369112102399121153319609092471246731646621493385745656367951842855946165549274693 (142 digits) Wed Oct 26 09:39:26 2016 no P-1/P+1/ECM available, skipping Wed Oct 26 09:39:26 2016 commencing number field sieve (142-digit input) Wed Oct 26 09:39:26 2016 R0: -5028535849335790062422777774 Wed Oct 26 09:39:26 2016 R1: 288273946605821 Wed Oct 26 09:39:26 2016 A0: 120818860218738595245260727114271263 Wed Oct 26 09:39:26 2016 A1: -87169287215960470298618815527 Wed Oct 26 09:39:26 2016 A2: -601332928124917701193253 Wed Oct 26 09:39:26 2016 A3: 525969880488063433 Wed Oct 26 09:39:26 2016 A4: 189773615484 Wed Oct 26 09:39:26 2016 A5: 1560 Wed Oct 26 09:39:26 2016 skew 1919233.53, size 9.315e-014, alpha -7.443, combined = 1.549e-011 rroots = 5 Wed Oct 26 09:39:26 2016 Wed Oct 26 09:39:26 2016 commencing square root phase Wed Oct 26 09:39:26 2016 handling dependencies 5 to 8 Wed Oct 26 09:39:26 2016 reading relations for dependency 5 Wed Oct 26 09:39:26 2016 read 977029 cycles Wed Oct 26 09:39:28 2016 cycles contain 2946274 unique relations Wed Oct 26 09:40:05 2016 read 2946274 relations Wed Oct 26 09:40:19 2016 multiplying 2946274 relations Wed Oct 26 09:44:48 2016 multiply complete, coefficients have about 142.95 million bits Wed Oct 26 09:44:50 2016 initial square root is modulo 134909 Wed Oct 26 09:51:08 2016 sqrtTime: 702 Wed Oct 26 09:51:08 2016 prp49 factor: 3712578004916249190523260349678311450899510681449 Wed Oct 26 09:51:08 2016 prp94 factor: 1351013824005414412487323308503097892088692490791779062705509405260056382712633404788177272957 Wed Oct 26 09:51:08 2016 elapsed time 00:11:43```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 9, 2011 01:00:00 UTC 2011 年 11 月 9 日 (水) 10 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovNovember 18, 2011 20:56:30 UTC 2011 年 11 月 19 日 (土) 5 時 56 分 30 秒 (日本時間)
4511e64409600Dmitry DomanovNovember 26, 2011 14:05:42 UTC 2011 年 11 月 26 日 (土) 23 時 5 分 42 秒 (日本時間)
3809yas matSeptember 2, 2014 06:30:38 UTC 2014 年 9 月 2 日 (火) 15 時 30 分 38 秒 (日本時間)

## 10209+18×10104-19

### c174

name 名前 Alfred Reich October 19, 2016 16:26:23 UTC 2016 年 10 月 20 日 (木) 1 時 26 分 23 秒 (日本時間) `296596294988111982992896776121819709030290820772107386381681197823598068244317422644879954393158989018233810833776120674788456550180894806459574098799567822082131113815315737<174>` ```43979205777168314111876628821260607196683593<44> 6744012079046892393118323805284783228125740835660349734455231544005559776838566546506852832325872804509355253759628403600772073809<130>``` ```GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM] Resuming ECM residue saved by with GMP-ECM 7.0-dev on Sun Oct 16 20:08:15 2016 Input number is 296596294988111982992896776121819709030290820772107386381681197823598068244317422644879954393158989018233810833776120674788456550180894806459574098799567822082131113815315737 (174 digits) Using B1=10000000-10000000, B2=35132741290, polynomial Dickson(12), sigma=3:2535477616 Step 1 took 0ms Step 2 took 25054ms ********** Factor found in step 2: 43979205777168314111876628821260607196683593 Found probable prime factor of 44 digits: 43979205777168314111876628821260607196683593 Probable prime cofactor 6744012079046892393118323805284783228125740835660349734455231544005559776838566546506852832325872804509355253759628403600772073809 has 130 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 9, 2011 01:00:00 UTC 2011 年 11 月 9 日 (水) 10 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovNovember 18, 2011 20:56:42 UTC 2011 年 11 月 19 日 (土) 5 時 56 分 42 秒 (日本時間)
4511e64409600Dmitry DomanovNovember 26, 2011 22:53:43 UTC 2011 年 11 月 27 日 (日) 7 時 53 分 43 秒 (日本時間)
3809yas matSeptember 4, 2014 07:39:13 UTC 2014 年 9 月 4 日 (木) 16 時 39 分 13 秒 (日本時間)

## 10211+18×10105-19

### c200

name 名前 Bob Backstrom October 12, 2020 18:37:18 UTC 2020 年 10 月 13 日 (火) 3 時 37 分 18 秒 (日本時間) `23514531291986991911584751001938568817830822087720532445268555457325832612299506410442667637827268289248150755275481520560661971041593528613146844569420404649373568382055424898907146609691378350350437<200>` ```53152020445010910292035513548313317887083011001219524692218081475211848064039<77> 442401457086927585796517615466433750640752511065435856039157111599907177703852799212924684484012198237060047466043379636883<123>``` ```Number: n N=23514531291986991911584751001938568817830822087720532445268555457325832612299506410442667637827268289248150755275481520560661971041593528613146844569420404649373568382055424898907146609691378350350437 ( 200 digits) SNFS difficulty: 211 digits. Divisors found: Tue Oct 13 05:32:12 2020 prp77 factor: 53152020445010910292035513548313317887083011001219524692218081475211848064039 Tue Oct 13 05:32:12 2020 prp123 factor: 442401457086927585796517615466433750640752511065435856039157111599907177703852799212924684484012198237060047466043379636883 Tue Oct 13 05:32:12 2020 elapsed time 04:31:57 (Msieve 1.44 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.109). Factorization parameters were as follows: # # N = 10^211+18x10^105-1 = 1(105)31(105) # n: 23514531291986991911584751001938568817830822087720532445268555457325832612299506410442667637827268289248150755275481520560661971041593528613146844569420404649373568382055424898907146609691378350350437 m: 100000000000000000000000000000000000 deg: 6 c6: 10 c3: 18 c0: -1 skew: 0.68 # Murphy_E = 6.982e-12 type: snfs lss: 1 rlim: 23000000 alim: 23000000 lpbr: 29 lpba: 29 mfbr: 57 mfba: 57 rlambda: 2.6 alambda: 2.6 Factor base limits: 23000000/23000000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 57/57 Sieved special-q in [100000, 37100000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 9714253 hash collisions in 63197225 relations (55432219 unique) Msieve: matrix is 2820135 x 2820361 (799.5 MB) Sieving start time: 2020/10/12 12:20:32 Sieving end time : 2020/10/13 00:59:19 Total sieving time: 12hrs 38min 47secs. Total relation processing time: 4hrs 9min 52sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 3min 58sec. Prototype def-par.txt line would be: snfs,211,6,0,0,0,0,0,0,0,0,23000000,23000000,29,29,57,57,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.113540] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1) [ 0.000000] Memory: 16228504K/16703460K available (14339K kernel code, 2398K rwdata, 4956K rodata, 2716K init, 4988K bss, 474956K reserved, 0K cma-reserved) [ 0.148670] x86/mm: Memory block size: 128MB [ 0.000008] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.64 BogoMIPS (lpj=11977280) [ 0.146244] smpboot: Total of 16 processors activated (95818.24 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 9, 2011 01:00:00 UTC 2011 年 11 月 9 日 (水) 10 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovNovember 18, 2011 20:56:57 UTC 2011 年 11 月 19 日 (土) 5 時 56 分 57 秒 (日本時間)
4511e61100 / 4409600Dmitry DomanovNovember 26, 2011 22:53:09 UTC 2011 年 11 月 27 日 (日) 7 時 53 分 9 秒 (日本時間)
500Dylan DelgadoMarch 27, 2018 00:40:28 UTC 2018 年 3 月 27 日 (火) 9 時 40 分 28 秒 (日本時間)

## 10213+18×10106-19

### c182

name 名前 ebina May 12, 2022 01:34:37 UTC 2022 年 5 月 12 日 (木) 10 時 34 分 37 秒 (日本時間) `34443685179284324043580247035124866967004980739666435726787004829160604674760535290527944425768857451424704718097926670220017627023868945180444994379097647687897891623080898303317553<182>` ```13421123328763006258385897341783384364834753649462963037<56> 32541980890198100469051894273915652211105399673321381901<56> 78863629075380483607141285084158690161969896938430369034377806425702969<71>``` ```Number: 11311_106 N = 34443685179284324043580247035124866967004980739666435726787004829160604674760535290527944425768857451424704718097926670220017627023868945180444994379097647687897891623080898303317553 (182 digits) SNFS difficulty: 214 digits. Divisors found: r1=13421123328763006258385897341783384364834753649462963037 (pp56) r2=32541980890198100469051894273915652211105399673321381901 (pp56) r3=78863629075380483607141285084158690161969896938430369034377806425702969 (pp71) Version: Msieve v. 1.53 (SVN unknown) Total time: 214.73 hours. Factorization parameters were as follows: n: 34443685179284324043580247035124866967004980739666435726787004829160604674760535290527944425768857451424704718097926670220017627023868945180444994379097647687897891623080898303317553 m: 100000000000000000000000000000000000 deg: 6 c6: 1000 c3: 180 c0: -1 skew: 0.32 # Murphy_E = 5.023e-12 type: snfs lss: 1 rlim: 25000000 alim: 25000000 lpbr: 29 lpba: 29 mfbr: 57 mfba: 57 rlambda: 2.6 alambda: 2.6 Factor base limits: 25000000/25000000 Large primes per side: 3 Large prime bits: 29/29 Sieved rational special-q in [0, 0) Total raw relations: 45540209 Relations: 6139842 relations Pruned matrix : 3993011 x 3993236 Total sieving time: 203.93 hours. Total relation processing time: 0.50 hours. Matrix solve time: 9.80 hours. time per square root: 0.49 hours. Prototype def-par.txt line would be: snfs,214,6,0,0,0,0,0,0,0,0,25000000,25000000,29,29,57,57,2.6,2.6,100000 total time: 214.73 hours. Intel64 Family 6 Model 42 Stepping 7, GenuineIntel processors: 8, speed: 2.19GHz Windows-7-6.1.7601-SP1 Running Python 3.2```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 9, 2011 01:00:00 UTC 2011 年 11 月 9 日 (水) 10 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovNovember 18, 2011 20:57:08 UTC 2011 年 11 月 19 日 (土) 5 時 57 分 8 秒 (日本時間)
4511e6660 / 4409Dmitry DomanovNovember 26, 2011 22:52:45 UTC 2011 年 11 月 27 日 (日) 7 時 52 分 45 秒 (日本時間)

## 10215+18×10107-19

### c211

name 名前 Bob Backstrom September 21, 2017 04:21:57 UTC 2017 年 9 月 21 日 (木) 13 時 21 分 57 秒 (日本時間) `2250579524227488578308914545495465082258681610514707537190826637859248756554812864312560484324713613755542092588841626718880111628744401683433484122161456575068080030607881529493844665001237818738325118718069903<211>` ```688570926075738761793701040747986834039838059917273384859733868907<66> 3268478872690506301659422342249499184078937749102011318825726922703650641672217063205900587047659775440800975275221222218671375248884081338078829<145>``` ```Number: n N=2250579524227488578308914545495465082258681610514707537190826637859248756554812864312560484324713613755542092588841626718880111628744401683433484122161456575068080030607881529493844665001237818738325118718069903 ( 211 digits) SNFS difficulty: 216 digits. Divisors found: Thu Sep 21 14:13:03 2017 p66 factor: 688570926075738761793701040747986834039838059917273384859733868907 Thu Sep 21 14:13:03 2017 p145 factor: 3268478872690506301659422342249499184078937749102011318825726922703650641672217063205900587047659775440800975275221222218671375248884081338078829 Thu Sep 21 14:13:03 2017 elapsed time 04:23:36 (Msieve 1.53 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.116). Factorization parameters were as follows: # # 10^215+18Ã-10107-1 1(107)31(107) # n: 2250579524227488578308914545495465082258681610514707537190826637859248756554812864312560484324713613755542092588841626718880111628744401683433484122161456575068080030607881529493844665001237818738325118718069903 m: 1000000000000000000000000000000000000 deg: 6 c6: 1 c3: 18 c0: -10 skew: 1.47 # Murphy_E = 4.748e-12 type: snfs lss: 1 rlim: 28000000 alim: 28000000 lpbr: 29 lpba: 29 mfbr: 58 mfba: 58 rlambda: 2.6 alambda: 2.6 Factor base limits: 28000000/28000000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 58/58 Sieved special-q in [100000, 45200000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 10812731 hash collisions in 69542464 relations (59573208 unique) Msieve: matrix is 3374259 x 3374485 (955.7 MB) Sieving start time: 2017/09/20 11:01:06 Sieving end time : 2017/09/21 09:47:58 Total sieving time: 22hrs 46min 52secs. Total relation processing time: 3hrs 59min 33sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 4min 35sec. Prototype def-par.txt line would be: snfs,216,6,0,0,0,0,0,0,0,0,28000000,28000000,29,29,58,58,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.178577] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1) [ 0.000000] Memory: 16306368K/16703460K available (9091K kernel code, 1667K rwdata, 3820K rodata, 2232K init, 2364K bss, 397092K reserved, 0K cma-reserved) [ 0.215024] x86/mm: Memory block size: 128MB [ 0.000018] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.38 BogoMIPS (lpj=11976772) [ 0.212835] smpboot: Total of 16 processors activated (95814.17 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 9, 2011 01:00:00 UTC 2011 年 11 月 9 日 (水) 10 時 0 分 0 秒 (日本時間)
403e62318300Lionel DebrouxNovember 10, 2011 13:48:04 UTC 2011 年 11 月 10 日 (木) 22 時 48 分 4 秒 (日本時間)
2018Wataru SakaiNovember 13, 2011 03:15:12 UTC 2011 年 11 月 13 日 (日) 12 時 15 分 12 秒 (日本時間)
4511e64000Wataru SakaiDecember 13, 2011 12:38:50 UTC 2011 年 12 月 13 日 (火) 21 時 38 分 50 秒 (日本時間)

## 10219+18×10109-19

### c176

name 名前 Alfred Reich October 29, 2016 06:16:43 UTC 2016 年 10 月 29 日 (土) 15 時 16 分 43 秒 (日本時間) `43057727249146092959879373431261257410660078680262556985535080292609290321455603674389823165172141943392604292060761561055439594474434757673377077190864325019002439900639063493<176>` ```109208718222097569832577072616215064030627269<45> 1495517513060797746420497391344488306663601104511650508044467647<64> 263634528332604085923524210607910406017958770836997732881817363737151<69>``` ```GMP-ECM 7.0.4-dev [configured with GMP 6.1.1, --enable-asm-redc] [P-1] Resuming P-1 residue saved by with GMP-ECM 7.0.4-dev on Sun Oct 23 07:35:32 2016 Input number is 43057727249146092959879373431261257410660078680262556985535080292609290321455603674389823165172141943392604292060761561055439594474434757673377077190864325019002439900639063493 (176 digits) Using mpz_mod Using lmax = 67108864 with NTT which takes about 17664MB of memory Using B1=1049107856939-1049000000000, B2=13495077759462330, polynomial x^1 P = 198843645, l = 67108864, s_1 = 33177600, k = s_2 = 2, m_1 = 2633 Probability of finding a factor of n digits: 20 25 30 35 40 45 50 55 60 65 0.82 0.59 0.38 0.21 0.11 0.049 0.021 0.0083 0.0031 0.0011 Step 1 took 0ms Computing F from factored S_1 took 498891ms Computing h took 55156ms Computing DCT-I of h took 152235ms Multi-point evaluation 1 of 2: Computing g_i took 164047ms Computing g*h took 318672ms Computing gcd of coefficients and N took 89641ms Step 2 took 1285625ms ********** Factor found in step 2: 109208718222097569832577072616215064030627269 Found prime factor of 45 digits: 109208718222097569832577072616215064030627269 Composite cofactor 394270054168932484595240333810365599526325883157878748181684476952838689975589556982669544258347822864512637259627034871842231453697 has 132 digits Peak memory usage: 16955MB Wed Oct 26 23:57:15 2016 Msieve v. 1.53 (SVN 967) Wed Oct 26 23:57:15 2016 random seeds: e47a5c18 6015b0d7 Wed Oct 26 23:57:15 2016 factoring 394270054168932484595240333810365599526325883157878748181684476952838689975589556982669544258347822864512637259627034871842231453697 (132 digits) Wed Oct 26 23:57:16 2016 no P-1/P+1/ECM available, skipping Wed Oct 26 23:57:16 2016 commencing number field sieve (132-digit input) Wed Oct 26 23:57:16 2016 R0: -9535953614772762791242919 Wed Oct 26 23:57:16 2016 R1: 225803571176087 Wed Oct 26 23:57:16 2016 A0: 99586772090137672827530207071608 Wed Oct 26 23:57:16 2016 A1: 4963494845863336577262144382 Wed Oct 26 23:57:16 2016 A2: 24716084160474368664041 Wed Oct 26 23:57:16 2016 A3: -749831198743208222 Wed Oct 26 23:57:16 2016 A4: -163140076674 Wed Oct 26 23:57:16 2016 A5: 5000040 Wed Oct 26 23:57:16 2016 skew 157723.24, size 7.405e-013, alpha -7.916, combined = 4.948e-011 rroots = 5 Wed Oct 26 23:57:16 2016 Wed Oct 26 23:57:16 2016 commencing square root phase Wed Oct 26 23:57:16 2016 handling dependencies 4 to 10 Wed Oct 26 23:57:16 2016 reading relations for dependency 4 Wed Oct 26 23:57:16 2016 read 729460 cycles Wed Oct 26 23:57:17 2016 cycles contain 2457940 unique relations Wed Oct 26 23:57:44 2016 read 2457940 relations Wed Oct 26 23:57:55 2016 multiplying 2457940 relations Thu Oct 27 00:01:24 2016 multiply complete, coefficients have about 131.35 million bits Thu Oct 27 00:01:26 2016 initial square root is modulo 2678924663 Thu Oct 27 00:06:39 2016 sqrtTime: 563 Thu Oct 27 00:06:39 2016 prp64 factor: 1495517513060797746420497391344488306663601104511650508044467647 Thu Oct 27 00:06:39 2016 prp69 factor: 263634528332604085923524210607910406017958770836997732881817363737151 Thu Oct 27 00:06:39 2016 elapsed time 00:09:24```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 9, 2011 01:00:00 UTC 2011 年 11 月 9 日 (水) 10 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovNovember 18, 2011 20:57:34 UTC 2011 年 11 月 19 日 (土) 5 時 57 分 34 秒 (日本時間)
4511e6720 / 4409Dmitry DomanovNovember 26, 2011 22:51:59 UTC 2011 年 11 月 27 日 (日) 7 時 51 分 59 秒 (日本時間)

## 10221+18×10110-19

### c221

name 名前 RSALS + Lionel Debroux June 29, 2012 12:00:43 UTC 2012 年 6 月 29 日 (金) 21 時 0 分 43 秒 (日本時間) `11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<221>` ```91724420916542688301064833171797490107989129901916417091714422909<65> 121135800041962427139366222375967114426192247239163123579198372019252179489945002366817181552314250195651545843024799060799481746874835452044645979287685779<156>``` ```prp65 factor: 91724420916542688301064833171797490107989129901916417091714422909 prp156 factor: 121135800041962427139366222375967114426192247239163123579198372019252179489945002366817181552314250195651545843024799060799481746874835452044645979287685779``` `ggnfs-lasieve4I14e on the RSALS grid + msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 9, 2011 01:00:00 UTC 2011 年 11 月 9 日 (水) 10 時 0 分 0 秒 (日本時間)
403e6300Lionel DebrouxNovember 10, 2011 17:01:47 UTC 2011 年 11 月 11 日 (金) 2 時 1 分 47 秒 (日本時間)
4511e644202400Dmitry DomanovNovember 11, 2011 21:31:22 UTC 2011 年 11 月 12 日 (土) 6 時 31 分 22 秒 (日本時間)
2020Wataru SakaiNovember 26, 2011 03:54:29 UTC 2011 年 11 月 26 日 (土) 12 時 54 分 29 秒 (日本時間)
5043e67000Wataru SakaiDecember 9, 2011 14:44:16 UTC 2011 年 12 月 9 日 (金) 23 時 44 分 16 秒 (日本時間)

## 10223+18×10111-19

### c219

name 名前 Serge Batalov November 9, 2011 15:52:34 UTC 2011 年 11 月 10 日 (木) 0 時 52 分 34 秒 (日本時間) `757403620389305460880103006892372945542679694008937362720593804438385215481330000757403620389305460880103006893736272059380443838521548133000075740362038930546088010300689237294554267969400893736272059380443838521548133<219>` `832668181949162601756495497629<30>` `909610378790176572344497480065504311918977759676294078448876483082100513746738451485231028302540366723260747017100916854000279342570279227591146566032457703792642026417218130786202559798377<189>` ```Input number is (10^223+10^111*18-1)/9/3/163/3 (219 digits) Using B1=250000, B2=128992510, polynomial Dickson(3), sigma=2272528183 Step 1 took 1576ms Step 2 took 696ms ********** Factor found in step 2: 832668181949162601756495497629 Found probable prime factor of 30 digits: 832668181949162601756495497629 Composite cofactor ((10^223+10^111*18-1)/9/3/163/3)/832668181949162601756495497629 has 189 digits```

### c189

name 名前 yas mat August 20, 2014 23:55:40 UTC 2014 年 8 月 21 日 (木) 8 時 55 分 40 秒 (日本時間) `909610378790176572344497480065504311918977759676294078448876483082100513746738451485231028302540366723260747017100916854000279342570279227591146566032457703792642026417218130786202559798377<189>` ```3852240807156427362914266606804238713396260803<46> 236125004724617715347644617675634906954481547814898290162264689559847406774477571705869332338143249713525177411893543527904687203298862336937059<144>``` ```\$ echo 909610378790176572344497480065504311918977759676294078448876483082100513746738451485231028302540366723260747017100916854000279342570279227591146566032457703792642026417218130786202559798377 | ecm -n -c 6552 43e6 Run 434 out of 6552: Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1123058053 Step 1 took 119371ms ********** Factor found in step 1: 3852240807156427362914266606804238713396260803 Found probable prime factor of 46 digits: 3852240807156427362914266606804238713396260803 Probable prime cofactor 236125004724617715347644617675634906954481547814898290162264689559847406774477571705869332338143249713525177411893543527904687203298862336937059 has 144 digits``` `GMP-ECM 6.4.4 [configured with GMP 6.0.0] [ECM]` `Core i5 3.10GHz,Windows 7 and Cygwin`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 9, 2011 01:00:00 UTC 2011 年 11 月 9 日 (水) 10 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovNovember 18, 2011 20:57:58 UTC 2011 年 11 月 19 日 (土) 5 時 57 分 58 秒 (日本時間)
4511e64409600Dmitry DomanovNovember 26, 2011 22:51:22 UTC 2011 年 11 月 27 日 (日) 7 時 51 分 22 秒 (日本時間)
3809yas matAugust 20, 2014 05:07:29 UTC 2014 年 8 月 20 日 (水) 14 時 7 分 29 秒 (日本時間)

## 10225+18×10112-19

### c206

composite cofactor 合成数の残り `63393151793679474990732542024997238383924285590528780645067689831157533973267314090366909441646809256506937024527973026781387847138338049340521349796815829103716107003052896252683195852981024975438412635717<206>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 9, 2011 01:00:00 UTC 2011 年 11 月 9 日 (水) 10 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovNovember 18, 2011 20:58:16 UTC 2011 年 11 月 19 日 (土) 5 時 58 分 16 秒 (日本時間)
4511e6654 / 4409600Dmitry DomanovNovember 26, 2011 22:50:58 UTC 2011 年 11 月 27 日 (日) 7 時 50 分 58 秒 (日本時間)
54Rytis SlatkevičiusApril 8, 2023 10:33:05 UTC 2023 年 4 月 8 日 (土) 19 時 33 分 5 秒 (日本時間)

## 10229+18×10114-19

### c181

name 名前 Dmitry Domanov November 27, 2011 10:05:16 UTC 2011 年 11 月 27 日 (日) 19 時 5 分 16 秒 (日本時間) `3226372683874024325582967842746438639121223355968297625629142959986189485656913882255075492819381359159128790230884185255630474182426050755432483153343635447452060551850222485041977<181>` ```11649561105699409037823768746880682693<38> 276952294992088578552459260430738971821581184216892973483309733729812917239460181393177322833407930327530798736526071086834687775837611399241189<144>``` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=854987352 Step 1 took 88912ms Step 2 took 29411ms ********** Factor found in step 2: 11649561105699409037823768746880682693 Found probable prime factor of 38 digits: 11649561105699409037823768746880682693 Probable prime cofactor 276952294992088578552459260430738971821581184216892973483309733729812917239460181393177322833407930327530798736526071086834687775837611399241189 has 144 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 9, 2011 01:00:00 UTC 2011 年 11 月 9 日 (水) 10 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovNovember 18, 2011 20:58:28 UTC 2011 年 11 月 19 日 (土) 5 時 58 分 28 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovNovember 26, 2011 22:50:29 UTC 2011 年 11 月 27 日 (日) 7 時 50 分 29 秒 (日本時間)

## 10231+18×10115-19

### c213

name 名前 Serge Batalov November 9, 2011 15:53:38 UTC 2011 年 11 月 10 日 (木) 0 時 53 分 38 秒 (日本時間) `632961101659094781387636943113915691299200536228096293194875964424075528440819313805583571300471395066497837521785915139226764460540551921151570867917454190926678621640442290226621113412226455851258440834068654499<213>` `191639976986590313235157304821<30>` `3302865673498725036350876053302215833712771220943373368945914953129839800542670268610539145387364017135356788326187755724996944030275637982638097897334531950355118944806950591865444919<184>` ```Input number is (10^231+10^115*18-1)/9/2557/68651454202577 (213 digits) Using B1=250000, B2=128992510, polynomial Dickson(3), sigma=3314007471 Step 1 took 1664ms Step 2 took 700ms ********** Factor found in step 2: 191639976986590313235157304821 Found probable prime factor of 30 digits: 191639976986590313235157304821 Composite cofactor ((10^231+10^115*18-1)/9/2557/68651454202577)/191639976986590313235157304821 has 184 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 9, 2011 01:00:00 UTC 2011 年 11 月 9 日 (水) 10 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovNovember 18, 2011 20:58:38 UTC 2011 年 11 月 19 日 (土) 5 時 58 分 38 秒 (日本時間)
4511e64345600Dmitry DomanovNovember 26, 2011 22:49:59 UTC 2011 年 11 月 27 日 (日) 7 時 49 分 59 秒 (日本時間)
3745Rytis SlatkevičiusApril 11, 2023 15:00:33 UTC 2023 年 4 月 12 日 (水) 0 時 0 分 33 秒 (日本時間)
5043e640 / 6566Rytis SlatkevičiusApril 11, 2023 15:00:51 UTC 2023 年 4 月 12 日 (水) 0 時 0 分 51 秒 (日本時間)

## 10233+18×10116-19

### c206

composite cofactor 合成数の残り `74740548995180341242671855476353074777949791887616899829095610422371575814409221907061000436826479473994972426488053388092673112930405285678011004158976435040111285377927910919502718871506486424348767773113<206>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 9, 2011 01:00:00 UTC 2011 年 11 月 9 日 (水) 10 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovNovember 18, 2011 20:58:51 UTC 2011 年 11 月 19 日 (土) 5 時 58 分 51 秒 (日本時間)
4511e64345600Dmitry DomanovNovember 26, 2011 22:49:35 UTC 2011 年 11 月 27 日 (日) 7 時 49 分 35 秒 (日本時間)
3745Rytis SlatkevičiusApril 12, 2023 05:11:09 UTC 2023 年 4 月 12 日 (水) 14 時 11 分 9 秒 (日本時間)
5043e656 / 6566Rytis SlatkevičiusApril 12, 2023 05:17:59 UTC 2023 年 4 月 12 日 (水) 14 時 17 分 59 秒 (日本時間)

## 10235+18×10117-19

### c181

name 名前 Dmitry Domanov November 19, 2011 09:19:52 UTC 2011 年 11 月 19 日 (土) 18 時 19 分 52 秒 (日本時間) `1026852694218805827444897076988014865163667938333669311459381951582829344767886637918962285659591895263668928544732541097688617491467979020189155802900866365853166410964111609212139<181>` `397140918243402969967419777621731789<36>` `2585612932459052130453589346274376778621503255071377062721456119864228685304989959576634588633617329910831678375543483851487839608467880200608151<145>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3756216535 Step 1 took 70138ms Step 2 took 26035ms ********** Factor found in step 2: 397140918243402969967419777621731789 Found probable prime factor of 36 digits: 397140918243402969967419777621731789 Composite cofactor 2585612932459052130453589346274376778621503255071377062721456119864228685304989959576634588633617329910831678375543483851487839608467880200 608151 has 145 digits```

### c145

name 名前 Wataru Sakai November 24, 2011 12:08:44 UTC 2011 年 11 月 24 日 (木) 21 時 8 分 44 秒 (日本時間) `2585612932459052130453589346274376778621503255071377062721456119864228685304989959576634588633617329910831678375543483851487839608467880200608151<145>` ```2313586667939249076366133369485504095551<40> 1117577728247414853134543650434124809637006539299514485765489979953515189291626215652542708395064204082601<106>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=612196550 Step 1 took 14374ms Step 2 took 6022ms ********** Factor found in step 2: 2313586667939249076366133369485504095551 Found probable prime factor of 40 digits: 2313586667939249076366133369485504095551 Probable prime cofactor 1117577728247414853134543650434124809637006539299514485765489979953515189291626215652542708395064204082601 has 106 digits``` `GMP-ECM 6.3`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 9, 2011 01:00:00 UTC 2011 年 11 月 9 日 (水) 10 時 0 分 0 秒 (日本時間)
403e6300 / 2318Dmitry DomanovNovember 18, 2011 20:59:12 UTC 2011 年 11 月 19 日 (土) 5 時 59 分 12 秒 (日本時間)

## 10237+18×10118-19

### c193

composite cofactor 合成数の残り `2153485180196534382487755314721961231877623089188457387209553968283042664524333380165677353249750394537357703892378531923278661577951451274368531703531094967216983721669586469948384299325211417<193>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 9, 2011 01:00:00 UTC 2011 年 11 月 9 日 (水) 10 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovNovember 18, 2011 20:59:23 UTC 2011 年 11 月 19 日 (土) 5 時 59 分 23 秒 (日本時間)
4511e64076600Dmitry DomanovNovember 26, 2011 22:48:59 UTC 2011 年 11 月 27 日 (日) 7 時 48 分 59 秒 (日本時間)
3476Rytis SlatkevičiusApril 12, 2023 08:20:16 UTC 2023 年 4 月 12 日 (水) 17 時 20 分 16 秒 (日本時間)
5043e6168 / 6627Rytis SlatkevičiusApril 12, 2023 08:41:32 UTC 2023 年 4 月 12 日 (水) 17 時 41 分 32 秒 (日本時間)

## 10241+18×10120-19

### c212

composite cofactor 合成数の残り `87116110914176549302628325394838904262351805679639051302289135263251142302410189678098956723576690097925601685776525443075100702405712841535721625606590649222605918185388013091782623925088143003865662503660530501<212>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 9, 2011 01:00:00 UTC 2011 年 11 月 9 日 (水) 10 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovNovember 22, 2011 16:04:26 UTC 2011 年 11 月 23 日 (水) 1 時 4 分 26 秒 (日本時間)
4511e64782680Dmitry DomanovNovember 26, 2011 22:48:27 UTC 2011 年 11 月 27 日 (日) 7 時 48 分 27 秒 (日本時間)
4102Rytis SlatkevičiusApril 10, 2023 16:01:03 UTC 2023 年 4 月 11 日 (火) 1 時 1 分 3 秒 (日本時間)
5043e64334 / 6468Rytis SlatkevičiusApril 10, 2023 16:01:31 UTC 2023 年 4 月 11 日 (火) 1 時 1 分 31 秒 (日本時間)

## 10243+18×10121-19

### c237

name 名前 Serge Batalov November 9, 2011 15:59:33 UTC 2011 年 11 月 10 日 (木) 0 時 59 分 33 秒 (日本時間) `711097458039916744709612686547529398546659015258018157162493591234159415250338304615662490391295598235624987111358573026636999680717241340077381625383903740159300052550102149149847434040377535862422552598101227567541814308276392204380787<237>` `203197393647923227482965989997<30>` `3499540251348024579969146447621754510959185619693552719838036962540601886762710132366600606997611418313795201936153593815124976052085834708228551283447349850464841052796974637483623529458837187756364450303071<208>` ```Input number is (10^243+10^121*18-1)/9/156253 (237 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2776947241 Step 1 took 7212ms Step 2 took 3192ms ********** Factor found in step 2: 203197393647923227482965989997 Found probable prime factor of 30 digits: 203197393647923227482965989997 Composite cofactor ((10^243+10^121*18-1)/9/156253)/203197393647923227482965989997 has 208 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 9, 2011 01:00:00 UTC 2011 年 11 月 9 日 (水) 10 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovNovember 22, 2011 16:04:54 UTC 2011 年 11 月 23 日 (水) 1 時 4 分 54 秒 (日本時間)
4511e64345600Dmitry DomanovNovember 26, 2011 11:59:50 UTC 2011 年 11 月 26 日 (土) 20 時 59 分 50 秒 (日本時間)
3745Rytis SlatkevičiusApril 11, 2023 05:53:46 UTC 2023 年 4 月 11 日 (火) 14 時 53 分 46 秒 (日本時間)
5043e6310 / 6566Rytis SlatkevičiusApril 11, 2023 05:54:06 UTC 2023 年 4 月 11 日 (火) 14 時 54 分 6 秒 (日本時間)

## 10245+18×10122-19

### c216

composite cofactor 合成数の残り `136941643000890530986584212206322979624029195488913026362328023365276275204492867181427170705915854461631855991283972456851197514062215946346375011396869186624860564548943264945095144883028477671235930928995164771927<216>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 9, 2011 01:00:00 UTC 2011 年 11 月 9 日 (水) 10 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovNovember 22, 2011 16:05:17 UTC 2011 年 11 月 23 日 (水) 1 時 5 分 17 秒 (日本時間)
4511e63631600Dmitry DomanovNovember 26, 2011 11:59:25 UTC 2011 年 11 月 26 日 (土) 20 時 59 分 25 秒 (日本時間)
1016Rytis SlatkevičiusApril 12, 2023 10:18:22 UTC 2023 年 4 月 12 日 (水) 19 時 18 分 22 秒 (日本時間)
1016Rytis SlatkevičiusApril 12, 2023 10:18:22 UTC 2023 年 4 月 12 日 (水) 19 時 18 分 22 秒 (日本時間)
999Rytis SlatkevičiusApril 12, 2023 10:42:30 UTC 2023 年 4 月 12 日 (水) 19 時 42 分 30 秒 (日本時間)
5043e6255 / 6726Rytis SlatkevičiusApril 12, 2023 13:54:59 UTC 2023 年 4 月 12 日 (水) 22 時 54 分 59 秒 (日本時間)

## 10253+18×10126-19

### c240

name 名前 Alfred Reich October 21, 2016 04:59:46 UTC 2016 年 10 月 21 日 (金) 13 時 59 分 46 秒 (日本時間) `234672897091534530859034459264716601004734099229807478919074440510816435451394538977424022221360212269920928910967841993000978887155163162719886006485005068364842893708532306048108008847658400310969510046353035934025028914435569053637552823<240>` ```11129820907091896304013345108406907871771019<44> 21085055999598475133195326227171579585249618205328681710073800126554973231060108290480534897265106604432996124993718214301065281376811808099604859443258094925386383998251896549734009841680110944517<197>``` ```Resuming ECM residue saved by with GMP-ECM 7.0-dev on Mon Oct 17 06:43:52 2016 Input number is 234672897091534530859034459264716601004734099229807478919074440510816435451394538977424022221360212269920928910967841993000978887155163162719886006485005068364842893708532306048108008847658400310969510046353035934025028914435569053637552823 (240 digits) Using B1=10000000-10000000, B2=35132741290, polynomial Dickson(12), sigma=3:3713929287 Step 1 took 0ms Step 2 took 34101ms ********** Factor found in step 2: 11129820907091896304013345108406907871771019 Found probable prime factor of 44 digits: 11129820907091896304013345108406907871771019 Probable prime cofactor 21085055999598475133195326227171579585249618205328681710073800126554973231060108290480534897265106604432996124993718214301065281376811808099604859443258094925386383998251896549734009841680110944517 has 197 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 9, 2011 01:00:00 UTC 2011 年 11 月 9 日 (水) 10 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovNovember 22, 2011 16:05:40 UTC 2011 年 11 月 23 日 (水) 1 時 5 分 40 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovNovember 26, 2011 22:47:38 UTC 2011 年 11 月 27 日 (日) 7 時 47 分 38 秒 (日本時間)

## 10255+18×10127-19

### c211

composite cofactor 合成数の残り `2419030078273687486919739710827886567398906088211280225737466065894161415938613586781630193856453041936091960827147473860890097707214560343272178663778002834547269312266650676911735686167361677331878110472411511<211>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 9, 2011 01:00:00 UTC 2011 年 11 月 9 日 (水) 10 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovNovember 22, 2011 16:06:07 UTC 2011 年 11 月 23 日 (水) 1 時 6 分 7 秒 (日本時間)
4511e63807600Dmitry DomanovNovember 26, 2011 11:58:59 UTC 2011 年 11 月 26 日 (土) 20 時 58 分 59 秒 (日本時間)
3207Rytis SlatkevičiusApril 13, 2023 05:22:15 UTC 2023 年 4 月 13 日 (木) 14 時 22 分 15 秒 (日本時間)
5043e6240 / 6687Rytis SlatkevičiusApril 13, 2023 06:10:35 UTC 2023 年 4 月 13 日 (木) 15 時 10 分 35 秒 (日本時間)

## 10257+18×10128-19

### c195

composite cofactor 合成数の残り `945800471126944657894400062396099439680654732785759553159841705353447419772144850628145939050246096305308756765449273218482051927451093673172592668767258100740060618265166942783109490524152864743<195>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 9, 2011 01:00:00 UTC 2011 年 11 月 9 日 (水) 10 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovNovember 22, 2011 16:06:34 UTC 2011 年 11 月 23 日 (水) 1 時 6 分 34 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovNovember 26, 2011 11:58:32 UTC 2011 年 11 月 26 日 (土) 20 時 58 分 32 秒 (日本時間)

## 10259+18×10129-19

### c236

name 名前 Dmitry Domanov November 22, 2011 06:42:19 UTC 2011 年 11 月 22 日 (火) 15 時 42 分 19 秒 (日本時間) `11126598628690754982552177638250282339861725472902142178478243016495415314581720751015491572358761647224624240741690890442392763944419394668594756041716054586461887953206878851957773720457530242883774004984154696429760038179939452750699<236>` ```35207847865810796591436513184621<32> 316026093702121321154302867384442154978180346861425669139823068324338135384200009500579260123286441583180961794038569133303082831432415507962162837112659347962476899010413182089295342963726682748825604919<204>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2192103452 Step 1 took 106379ms Step 2 took 36384ms ********** Factor found in step 2: 35207847865810796591436513184621 Found probable prime factor of 32 digits: 35207847865810796591436513184621 Probable prime cofactor 316026093702121321154302867384442154978180346861425669139823068324338135384200009500579260123286441583180961794038569133303082831432415507962162837112659347962476899010413182089295342963726682748825604919 has 204 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 9, 2011 01:00:00 UTC 2011 年 11 月 9 日 (水) 10 時 0 分 0 秒 (日本時間)
403e6300 / 2318Dmitry DomanovNovember 21, 2011 21:50:39 UTC 2011 年 11 月 22 日 (火) 6 時 50 分 39 秒 (日本時間)

## 10261+18×10130-19

### c247

composite cofactor 合成数の残り `1167766484570921627770130594994002136037062241222802255962697183125599802526687114279586775076173822991116970641086133817065415322725891760367018424119604446863605634329519493366254237781856262358506118662557372629341033261331171473984065345722619<247>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 9, 2011 01:00:00 UTC 2011 年 11 月 9 日 (水) 10 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovNovember 21, 2011 21:45:06 UTC 2011 年 11 月 22 日 (火) 6 時 45 分 6 秒 (日本時間)
4511e6800 / 4409Dmitry DomanovNovember 26, 2011 11:58:02 UTC 2011 年 11 月 26 日 (土) 20 時 58 分 2 秒 (日本時間)

## 10263+18×10131-19

### c240

name 名前 Serge Batalov November 9, 2011 15:58:43 UTC 2011 年 11 月 10 日 (木) 0 時 58 分 43 秒 (日本時間) `231723446132723594067673413974139778890768864328200014475148521219906028894101028967156031278291349086232710708094926073219478745299063661042314880754105745490905928948535539544423163953316972971062172220606802129579671946981110064620394437<240>` `37963108963270951607516293531923301<35>` `6103911203819330077949544779433712380524828208717634804393247380220321624858696583401373969868627386565532845859370127123476619535750939995237466846962727288722438697337120153392653717590606081869703642337<205>` ```Input number is (10^263+10^131*18-1)/9/97/131/1093/3452425534965653 (240 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=423010420 Step 1 took 7373ms Step 2 took 3368ms ********** Factor found in step 2: 37963108963270951607516293531923301 Found probable prime factor of 35 digits: 37963108963270951607516293531923301 Composite cofactor ((10^263+10^131*18-1)/9/97/131/1093/3452425534965653)/37963108963270951607516293531923301 has 205 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 9, 2011 01:00:00 UTC 2011 年 11 月 9 日 (水) 10 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovNovember 21, 2011 21:44:34 UTC 2011 年 11 月 22 日 (火) 6 時 44 分 34 秒 (日本時間)
4511e62462600Dmitry DomanovNovember 26, 2011 11:57:16 UTC 2011 年 11 月 26 日 (土) 20 時 57 分 16 秒 (日本時間)
1862Rytis SlatkevičiusMay 31, 2023 12:42:46 UTC 2023 年 5 月 31 日 (水) 21 時 42 分 46 秒 (日本時間)
5043e66360Rytis SlatkevičiusJune 1, 2023 05:46:01 UTC 2023 年 6 月 1 日 (木) 14 時 46 分 1 秒 (日本時間)
5511e76744 / 14232300Rytis SlatkevičiusJune 1, 2023 08:10:48 UTC 2023 年 6 月 1 日 (木) 17 時 10 分 48 秒 (日本時間)
3300Rytis SlatkevičiusJune 2, 2023 08:19:56 UTC 2023 年 6 月 2 日 (金) 17 時 19 分 56 秒 (日本時間)
3144Rytis SlatkevičiusJune 3, 2023 06:42:36 UTC 2023 年 6 月 3 日 (土) 15 時 42 分 36 秒 (日本時間)
6026e7478 / 38685Rytis SlatkevičiusAugust 8, 2023 07:14:02 UTC 2023 年 8 月 8 日 (火) 16 時 14 分 2 秒 (日本時間)

## 10265+18×10132-19

### c258

name 名前 Lionel Debroux November 10, 2011 17:05:42 UTC 2011 年 11 月 11 日 (金) 2 時 5 分 42 秒 (日本時間) `403667708654123015554406717256725921453287714038242913583099498721402716223498054382194443425183480092783830169567483371211492774893693099756665068546208104993648086770473047288743633100606789262971791175751228633313137837869367558865146365268979335483025349<258>` ```187352950644878188725140013772726793<36> 2154584207319279757711624118374290717232151790665615129654389679622268610779600833159524628552441578347805787413271434890750224789594296822901056924604391783493579500708442743166395188604795248119560040438589543709342275293<223>``` ```Run 23 out of 75: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3006516415 Step 1 took 52840ms Step 2 took 16297ms ********** Factor found in step 2: 187352950644878188725140013772726793 Found probable prime factor of 36 digits: 187352950644878188725140013772726793 Probable prime cofactor 2154584207319279757711624118374290717232151790665615129654389679622268610779600833159524628552441578347805787413271434890750224789594296822901056924604391783493579500708442743166395188604795248119560040438589543709342275293 has 223 digits``` `GMP-ECM 6.3` `Core i5 M 520, 64-bit Debian unstable.`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 9, 2011 01:00:00 UTC 2011 年 11 月 9 日 (水) 10 時 0 分 0 秒 (日本時間)

## 10269+18×10134-19

### c244

name 名前 Dmitry Domanov November 22, 2011 06:41:41 UTC 2011 年 11 月 22 日 (火) 15 時 41 分 41 秒 (日本時間) `1645202434173915845376753526770772382965562436685185812285334092588170141479788276574962893150158701357111438872621298478934068081610510217942447098525994888509151665379622095588835107222454023646907279968930794591756251739227532999843347746979<244>` ```683199965750704446735969913296427<33> 2408083308912577296846631806602012277397292214551241832256093929046721033922399643854168016743600543064415833140770389913936017570894184222599235784272791837823773037404426197444996711820312062107352955036822377<211>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3673650781 Step 1 took 112001ms Step 2 took 37627ms ********** Factor found in step 2: 683199965750704446735969913296427 Found probable prime factor of 33 digits: 683199965750704446735969913296427 Probable prime cofactor 2408083308912577296846631806602012277397292214551241832256093929046721033922399643854168016743600543064415833140770389913936017570894184222599235784272791837823773037404426197444996711820312062107352955036822377 has 211 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 9, 2011 01:00:00 UTC 2011 年 11 月 9 日 (水) 10 時 0 分 0 秒 (日本時間)
403e6300 / 2318Dmitry DomanovNovember 21, 2011 21:43:34 UTC 2011 年 11 月 22 日 (火) 6 時 43 分 34 秒 (日本時間)

## 10271+18×10135-19

### c264

name 名前 Serge Batalov November 9, 2011 15:58:08 UTC 2011 年 11 月 10 日 (木) 0 時 58 分 8 秒 (日本時間) `104244025506469858533247573858429670710115201219271480411833535759594263071828126120134630324989401770536820975657571052284748101453079550419285628410975273848794395432552192195043407160098881295858315023130863185668856614730104034807747278373527171345977695802361<264>` ```10404340959316315157804218671953<32> 10019281943382206279370517556462817638518429657626174705008948077352100382520902214466550355468090533038908668371083044356713207889739222293862259457009962653186690682511766819565099931108105832069061290291748671713983671723936541737<233>``` ```Input number is (10^271+10^135*18-1)/9/3/3552917 (264 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=563790612 Step 1 took 8293ms Step 2 took 3584ms ********** Factor found in step 2: 10404340959316315157804218671953 Found probable prime factor of 32 digits: 10404340959316315157804218671953 Probable prime cofactor ((10^271+10^135*18-1)/9/3/3552917)/10404340959316315157804218671953 has 233 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 9, 2011 01:00:00 UTC 2011 年 11 月 9 日 (水) 10 時 0 分 0 秒 (日本時間)

## 10273+18×10136-19

### c248

composite cofactor 合成数の残り `26855174012576998935004761542044338277596257971985468099529518684389938294466989184743110059605760420988151998210513922411657201726558946323781070587967453766534173360711498007020964455020877854316548095063777084690707358106696632162217220028301687<248>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 9, 2011 01:00:00 UTC 2011 年 11 月 9 日 (水) 10 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovNovember 20, 2011 14:13:08 UTC 2011 年 11 月 20 日 (日) 23 時 13 分 8 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovNovember 21, 2011 21:29:36 UTC 2011 年 11 月 22 日 (火) 6 時 29 分 36 秒 (日本時間)

## 10275+18×10137-19

### c275

name 名前 [AF>Le_Pommier>MacADSL.com]Bertrand June 4, 2012 13:10:30 UTC 2012 年 6 月 4 日 (月) 22 時 10 分 30 秒 (日本時間) `11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<275>` `2524063223002910553513776538856602585072283259<46>` `4402073216649493823492269288482531811411386180360539932876021248745211302452234291122994361955411405786141142436951607386379315944377504935066508361338175321023902746116396020238439480204846800552078181351781403262071720850427429<229>` ```GMP-ECM 6.2.1 [powered by GMP 4.2.4] [ECM] Running on MBP17EN.local Input number is 11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 (275 digits) [Mon Jun 4 06:55:14 2012] Using MODMULN Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=1582994029 dF=131072, k=4, d=1345890, d2=11, i0=71 Expected number of curves to find a factor of n digits: 20 25 30 35 40 45 50 55 60 65 2 4 10 34 135 613 3133 17769 111196 751771 Step 1 took 1518632ms Using 32 small primes for NTT Estimated memory usage: 735M Initializing tables of differences for F took 1073ms Computing roots of F took 40494ms Building F from its roots took 26327ms Computing 1/F took 13560ms Initializing table of differences for G took 919ms Computing roots of G took 32701ms Building G from its roots took 34627ms Computing roots of G took 33458ms Building G from its roots took 34343ms Computing G * H took 5687ms Reducing G * H mod F took 6838ms Computing roots of G took 32392ms Building G from its roots took 34231ms Computing G * H took 5169ms Reducing G * H mod F took 6765ms Computing roots of G took 32690ms Building G from its roots took 33974ms Computing G * H took 5304ms Reducing G * H mod F took 6702ms Computing polyeval(F,G) took 58184ms Computing product of all F(g_i) took 259ms Step 2 took 446753ms ********** Factor found in step 2: 2524063223002910553513776538856602585072283259 Found probable prime factor of 46 digits: 2524063223002910553513776538856602585072283259 Composite cofactor 4402073216649493823492269288482531811411386180360539932876021248745211302452234291122994361955411405786141142436951607386379315944377504935066508361338175321023902746116396020238439480204846800552078181351781403262071720850427429 has 229 digits``` `GMP-ECM`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 9, 2011 01:00:00 UTC 2011 年 11 月 9 日 (水) 10 時 0 分 0 秒 (日本時間)
403e6300Lionel DebrouxNovember 10, 2011 19:53:08 UTC 2011 年 11 月 11 日 (金) 4 時 53 分 8 秒 (日本時間)
4511e64513113Serge BatalovNovember 11, 2011 06:03:17 UTC 2011 年 11 月 11 日 (金) 15 時 3 分 17 秒 (日本時間)
2000Dmitry DomanovNovember 11, 2011 21:30:25 UTC 2011 年 11 月 12 日 (土) 6 時 30 分 25 秒 (日本時間)
2400Wataru SakaiNovember 17, 2011 12:41:16 UTC 2011 年 11 月 17 日 (木) 21 時 41 分 16 秒 (日本時間)
5043e60 / 3828--
5511e71120 / 17485yoyo@homeJune 3, 2012 19:35:11 UTC 2012 年 6 月 4 日 (月) 4 時 35 分 11 秒 (日本時間)

## 10277+18×10138-19

### c245

name 名前 Serge Batalov November 9, 2011 15:55:44 UTC 2011 年 11 月 10 日 (木) 0 時 55 分 44 秒 (日本時間) `14329055269707394702172141022838740030372246878848558400855495486377258909801896613230206820659044475200707333635498487239781684287337264272066173213881252559195312225727547110257625114036507693513445119963751905427567788496558415126081846308823<245>` `166630692592728831852116323718177929<36>` `85992892706326442314522074760132016248445407019724048043435651429781566517582364400962769093653848048766402822412997014588080034552838870740747354847628273700827209482286315100615884056035775254141604586101087<209>` ```Input number is (10^277+10^138*18-1)/9/3^2 (276 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3491358478 Step 1 took 9609ms ********** Factor found in step 1: 166630692592728831852116323718177929 Found probable prime factor of 36 digits: 166630692592728831852116323718177929 Composite cofactor ((10^277+10^138*18-1)/9/3^2)/166630692592728831852116323718177929 has 240 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 9, 2011 01:00:00 UTC 2011 年 11 月 9 日 (水) 10 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovNovember 20, 2011 14:12:22 UTC 2011 年 11 月 20 日 (日) 23 時 12 分 22 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovNovember 24, 2011 22:25:39 UTC 2011 年 11 月 25 日 (金) 7 時 25 分 39 秒 (日本時間)

## 10287+18×10143-19

### c278

name 名前 Lionel Debroux November 10, 2011 20:52:36 UTC 2011 年 11 月 11 日 (金) 5 時 52 分 36 秒 (日本時間) `36449158641574309173273513149126743056674840875265849638437085256528083222182808653508328674483886374248677001152748016538571001032691048821781366076434834078489180099879245650530920467701475994792061109210159915897765377642790943088129517104819797522933621992882585184773722783<278>` `422762455869999390718247350109454623<36>` `86216640421784580034541412362133881111828237255337169710938226213219842424466014060740862266638431791016132422054763843796814837657723435397440132253007638280256735893567714792364554074130293162064326957433938070604719696017448494288222305921<242>` ```Run 23 out of 75: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2890537313 Step 1 took 60040ms Step 2 took 17769ms ********** Factor found in step 2: 422762455869999390718247350109454623 Found probable prime factor of 36 digits: 422762455869999390718247350109454623 Composite cofactor 86216640421784580034541412362133881111828237255337169710938226213219842424466014060740862266638431791016132422054763843796814837657723435397440132253007638280256735893567714792364554074130293162064326957433938070604719696017448494288222305921 has 242 digits``` `GMP-ECM 6.3` `Core i5 M520, 64-bit Debian unstable`

### c242

name 名前 Lionel Debroux November 11, 2011 14:32:24 UTC 2011 年 11 月 11 日 (金) 23 時 32 分 24 秒 (日本時間) `86216640421784580034541412362133881111828237255337169710938226213219842424466014060740862266638431791016132422054763843796814837657723435397440132253007638280256735893567714792364554074130293162064326957433938070604719696017448494288222305921<242>` `3080476036683751768011896226979943<34>` `27988089955927731827971224306475307852703757746798638879307707532249867150400231383990744539542655480831857769254330742273454018551494533613350125886703031112677272329208208961069838506785655896794570235820247<209>` ```Run 66 out of 75: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1371691855 Step 1 took 47495ms Step 2 took 15581ms ********** Factor found in step 2: 3080476036683751768011896226979943 Found probable prime factor of 34 digits: 3080476036683751768011896226979943 Composite cofactor 27988089955927731827971224306475307852703757746798638879307707532249867150400231383990744539542655480831857769254330742273454018551494533613350125886703031112677272329208208961069838506785655896794570235820247 has 209 digits``` `GMP-ECM 6.3` `Core i5 M520, 64-bit Debian unstable.`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 9, 2011 01:00:00 UTC 2011 年 11 月 9 日 (水) 10 時 0 分 0 秒 (日本時間)
403e62400300Lionel DebrouxNovember 12, 2011 14:30:59 UTC 2011 年 11 月 12 日 (土) 23 時 30 分 59 秒 (日本時間)
1050Lionel DebrouxNovember 12, 2011 20:16:46 UTC 2011 年 11 月 13 日 (日) 5 時 16 分 46 秒 (日本時間)
1050Lionel DebrouxNovember 13, 2011 06:58:19 UTC 2011 年 11 月 13 日 (日) 15 時 58 分 19 秒 (日本時間)
4511e67582400Lionel DebrouxNovember 14, 2011 14:41:59 UTC 2011 年 11 月 14 日 (月) 23 時 41 分 59 秒 (日本時間)
800Lionel DebrouxNovember 15, 2011 16:28:53 UTC 2011 年 11 月 16 日 (水) 1 時 28 分 53 秒 (日本時間)
6382Lionel DebrouxNovember 22, 2011 10:37:13 UTC 2011 年 11 月 22 日 (火) 19 時 37 分 13 秒 (日本時間)
5043e690053439Lionel DebrouxDecember 16, 2011 08:57:24 UTC 2011 年 12 月 16 日 (金) 17 時 57 分 24 秒 (日本時間)
5566Lionel DebrouxJanuary 24, 2012 14:56:08 UTC 2012 年 1 月 24 日 (火) 23 時 56 分 8 秒 (日本時間)
5511e72402 / 140632Lionel DebrouxJanuary 24, 2012 15:26:02 UTC 2012 年 1 月 25 日 (水) 0 時 26 分 2 秒 (日本時間)
2400yoyo@homeJune 3, 2012 20:54:01 UTC 2012 年 6 月 4 日 (月) 5 時 54 分 1 秒 (日本時間)

## 10289+18×10144-19

### c283

name 名前 Dmitry Domanov December 2, 2011 06:39:18 UTC 2011 年 12 月 2 日 (金) 15 時 39 分 18 秒 (日本時間) `4423970309850456531616125017861780126021218246400104759616937258810668669840422966953384182448074754480707729074288636634101821215857456137440378373332660889846236063940527682330618342754178108159880517409871558869994111695517589042356418937601225970652265758514041460564949856508523<283>` ```215489823021729448061344335017393907545883188657<48> 20529834067404447998179675293687840204309668117647100267829169482265995485683665413722014481838330954957631487498323935556455391335063950156266158473057649266076570345702754334037910823438419164605695109584575233834162669678681197163739<236>``` ```Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=4272203601 Step 1 took 684595ms Step 2 took 149366ms ********** Factor found in step 2: 215489823021729448061344335017393907545883188657 Found probable prime factor of 48 digits: 215489823021729448061344335017393907545883188657```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 9, 2011 01:00:00 UTC 2011 年 11 月 9 日 (水) 10 時 0 分 0 秒 (日本時間)
403e63418800Dmitry DomanovNovember 11, 2011 07:02:18 UTC 2011 年 11 月 11 日 (金) 16 時 2 分 18 秒 (日本時間)
300Lionel DebrouxNovember 11, 2011 09:00:54 UTC 2011 年 11 月 11 日 (金) 18 時 0 分 54 秒 (日本時間)
2318Wataru SakaiNovember 13, 2011 03:13:13 UTC 2011 年 11 月 13 日 (日) 12 時 13 分 13 秒 (日本時間)
4511e60 / 2316--
5043e6400 / 7424Dmitry DomanovNovember 30, 2011 19:39:14 UTC 2011 年 12 月 1 日 (木) 4 時 39 分 14 秒 (日本時間)

## 10291+18×10145-19

### c275

composite cofactor 合成数の残り `19519467178826556194253712321510575159650880264838444327409018032222698712651629198640264580459868342160883262464179545989944510883319958273060923290543720315139751215302176725116018422489821536671211267324857192397389128852792497337373323171173243187480203155927014031649249<275>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 9, 2011 01:00:00 UTC 2011 年 11 月 9 日 (水) 10 時 0 分 0 秒 (日本時間)
403e6800Dmitry DomanovNovember 19, 2011 23:40:39 UTC 2011 年 11 月 20 日 (日) 8 時 40 分 39 秒 (日本時間)
4511e62502440Dmitry DomanovNovember 26, 2011 11:56:45 UTC 2011 年 11 月 26 日 (土) 20 時 56 分 45 秒 (日本時間)
2062yas matSeptember 19, 2014 04:40:08 UTC 2014 年 9 月 19 日 (金) 13 時 40 分 8 秒 (日本時間)
5043e6512 / 6961Tapio RajalaSeptember 6, 2013 05:04:56 UTC 2013 年 9 月 6 日 (金) 14 時 4 分 56 秒 (日本時間)

## 10293+18×10146-19

### c264

composite cofactor 合成数の残り `110455874716001229659195249433181476790989984469278438846576242703436615352637765678143814978226350279220155402019825528699730638902690641729355489858718371049325214986519803204430030783802061829821868248402571702694333886652593288038635976810293976099551620734559<264>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 9, 2011 01:00:00 UTC 2011 年 11 月 9 日 (水) 10 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovNovember 20, 2011 14:11:32 UTC 2011 年 11 月 20 日 (日) 23 時 11 分 32 秒 (日本時間)
4511e62190600Dmitry DomanovNovember 21, 2011 21:28:51 UTC 2011 年 11 月 22 日 (火) 6 時 28 分 51 秒 (日本時間)
1590Rytis SlatkevičiusApril 13, 2023 08:41:57 UTC 2023 年 4 月 13 日 (木) 17 時 41 分 57 秒 (日本時間)
5043e6780 / 7050Rytis SlatkevičiusApril 14, 2023 04:10:48 UTC 2023 年 4 月 14 日 (金) 13 時 10 分 48 秒 (日本時間)

## 10295+18×10147-19

### c270

name 名前 Serge Batalov November 9, 2011 15:56:52 UTC 2011 年 11 月 10 日 (木) 0 時 56 分 52 秒 (日本時間) `550798896003687684626393776457581127086749179355167465353287530123523545503279250294161235337782702502808811476569390382179455404201124767589802411872946722058033896306778142572174204333091403153543331604216509662653116181739972989298331281040541874767099216286013435379<270>` `1537896019077634053974191684379194883<37>` `358150934244588206887309875237539770524517174876279610038990373420948930273015282435872540667000600033176073304040171595304341832334138409421825312204000079504704348289329940421215049092380825337308426835798581590091975639263575039313<234>` ```Input number is (10^295+10^147*18-1)/9/3^3/1163/5431/11828812499569939 (270 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3084535066 Step 1 took 9737ms Step 2 took 4008ms ********** Factor found in step 2: 1537896019077634053974191684379194883 Found probable prime factor of 37 digits: 1537896019077634053974191684379194883 Composite cofactor ((10^295+10^147*18-1)/9/3^3/1163/5431/11828812499569939)/1537896019077634053974191684379194883 has 234 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 9, 2011 01:00:00 UTC 2011 年 11 月 9 日 (水) 10 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovNovember 20, 2011 14:11:44 UTC 2011 年 11 月 20 日 (日) 23 時 11 分 44 秒 (日本時間)
4511e64409600Dmitry DomanovNovember 21, 2011 21:27:35 UTC 2011 年 11 月 22 日 (火) 6 時 27 分 35 秒 (日本時間)
3809yas matJanuary 19, 2015 04:07:53 UTC 2015 年 1 月 19 日 (月) 13 時 7 分 53 秒 (日本時間)

## 10297+18×10148-19

### c257

name 名前 Dmitry Domanov November 13, 2011 19:33:01 UTC 2011 年 11 月 14 日 (月) 4 時 33 分 1 秒 (日本時間) `54376060790215368835017802066679161929322857029973375556349412371368539278569414947231884488976398100741639853676580162131667972898060337500291982910752753317879489630185085469427264536828332210949690810132210037972181883581575869206242369362012200171336673<257>` `1941375394600204306532185441083406124453<40>` `28009039849510023456859725075446567017866069626822261345962906382820567514891662523932678170609987037773228656250574397634689042652295867888175486267973390591061939922702116040298498320371871915548134208180503745689741<218>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2739670139 Step 1 took 124186ms Step 2 took 40249ms ********** Factor found in step 2: 1941375394600204306532185441083406124453 Found probable prime factor of 40 digits: 1941375394600204306532185441083406124453 Composite cofactor 2800903984951002345685972507544656701786606962682226134596290638282056751489166252393267 81706099870377732286562505743976346890426522958678881754862679733905910619399227021160402984983203718719155 48134208180503745689741 has 218 digits```

### c218

name 名前 yas mat January 5, 2015 00:09:49 UTC 2015 年 1 月 5 日 (月) 9 時 9 分 49 秒 (日本時間) `28009039849510023456859725075446567017866069626822261345962906382820567514891662523932678170609987037773228656250574397634689042652295867888175486267973390591061939922702116040298498320371871915548134208180503745689741<218>` ```6833346186398256359664453534526157077<37> 4098876170690998554131346729636226064504760674762715381787846976253735418695630275864699875887674080615720903404744369027623390205803500752322600534760738415881607769526262987380633<181>``` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2629679305 Step 1 took 225577ms Step 2 took 48641ms ********** Factor found in step 2: 6833346186398256359664453534526157077 Found probable prime factor of 37 digits: 6833346186398256359664453534526157077 Probable prime cofactor 4098876170690998554131346729636226064504760674762715381787846976253735418695630275864699875887674080615720903404744369027623390205803500752322600534760738415881607769526262987380633 has 181 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 9, 2011 01:00:00 UTC 2011 年 11 月 9 日 (水) 10 時 0 分 0 秒 (日本時間)
403e62400Dmitry DomanovNovember 12, 2011 20:29:11 UTC 2011 年 11 月 13 日 (日) 5 時 29 分 11 秒 (日本時間)

## 10299+18×10149-19

### c299

composite cofactor 合成数の残り `11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<299>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 9, 2011 01:00:00 UTC 2011 年 11 月 9 日 (水) 10 時 0 分 0 秒 (日本時間)
403e60--
4511e63716116Serge BatalovNovember 11, 2011 06:02:51 UTC 2011 年 11 月 11 日 (金) 15 時 2 分 51 秒 (日本時間)
2000Dmitry DomanovNovember 11, 2011 21:29:37 UTC 2011 年 11 月 12 日 (土) 6 時 29 分 37 秒 (日本時間)
1600Dmitry DomanovNovember 17, 2011 22:15:12 UTC 2011 年 11 月 18 日 (金) 7 時 15 分 12 秒 (日本時間)
5043e6400Dmitry DomanovNovember 20, 2011 21:20:17 UTC 2011 年 11 月 21 日 (月) 6 時 20 分 17 秒 (日本時間)
5511e7173942635yoyo@homeJune 8, 2012 21:00:09 UTC 2012 年 6 月 9 日 (土) 6 時 0 分 9 秒 (日本時間)
3500Serge BatalovOctober 9, 2013 06:38:15 UTC 2013 年 10 月 9 日 (水) 15 時 38 分 15 秒 (日本時間)
8266yas matOctober 9, 2014 10:00:54 UTC 2014 年 10 月 9 日 (木) 19 時 0 分 54 秒 (日本時間)
2993yas matNovember 3, 2014 01:18:05 UTC 2014 年 11 月 3 日 (月) 10 時 18 分 5 秒 (日本時間)
6026e724791 / 353392006yas matDecember 4, 2014 03:28:42 UTC 2014 年 12 月 4 日 (木) 12 時 28 分 42 秒 (日本時間)
2333yas matJanuary 5, 2015 07:39:48 UTC 2015 年 1 月 5 日 (月) 16 時 39 分 48 秒 (日本時間)
3000yas matFebruary 10, 2015 01:00:42 UTC 2015 年 2 月 10 日 (火) 10 時 0 分 42 秒 (日本時間)
3000yas matMarch 13, 2015 00:08:37 UTC 2015 年 3 月 13 日 (金) 9 時 8 分 37 秒 (日本時間)
3300yas matApril 15, 2015 07:53:45 UTC 2015 年 4 月 15 日 (水) 16 時 53 分 45 秒 (日本時間)
3351yas matMay 15, 2015 10:33:09 UTC 2015 年 5 月 15 日 (金) 19 時 33 分 9 秒 (日本時間)
3848yas matJune 18, 2015 05:26:50 UTC 2015 年 6 月 18 日 (木) 14 時 26 分 50 秒 (日本時間)
3953yas matJuly 22, 2015 09:33:46 UTC 2015 年 7 月 22 日 (水) 18 時 33 分 46 秒 (日本時間)

## 10301+18×10150-19

### c260

composite cofactor 合成数の残り `16462360503071845523653803751584963210632198669139637586655019234640906156401752939288585856712721744358832428460935203386859509417723904798119120065924644261248149890756723458117508007286446324020902641657577856942540130329559137813252583094239233296735116637<260>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 9, 2011 01:00:00 UTC 2011 年 11 月 9 日 (水) 10 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovNovember 11, 2011 18:28:16 UTC 2011 年 11 月 12 日 (土) 3 時 28 分 16 秒 (日本時間)
4511e6600Dmitry DomanovNovember 11, 2011 21:37:40 UTC 2011 年 11 月 12 日 (土) 6 時 37 分 40 秒 (日本時間)
5043e61100400Dmitry DomanovNovember 29, 2011 18:08:04 UTC 2011 年 11 月 30 日 (水) 3 時 8 分 4 秒 (日本時間)
400Dmitry DomanovDecember 13, 2011 20:09:30 UTC 2011 年 12 月 14 日 (水) 5 時 9 分 30 秒 (日本時間)
300Dmitry DomanovDecember 14, 2011 16:19:56 UTC 2011 年 12 月 15 日 (木) 1 時 19 分 56 秒 (日本時間)
5511e72630 / 17337yoyo@homeAugust 4, 2012 17:16:54 UTC 2012 年 8 月 5 日 (日) 2 時 16 分 54 秒 (日本時間)