## 82×10106+179

### c88

name 名前 Ignacio Santos May 13, 2010 15:11:35 UTC 2010 年 5 月 14 日 (金) 0 時 11 分 35 秒 (日本時間) `8232257430710662924239731952987915181762043100030155472279497860444774314935742322096363<88>` ```424526997157871740709451714349<30> 19391599323067968240349073217833048236297221580179043252087<59>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4290640363 Step 1 took 13322ms Step 2 took 11825ms ********** Factor found in step 2: 424526997157871740709451714349 Found probable prime factor of 30 digits: 424526997157871740709451714349 Probable prime cofactor 19391599323067968240349073217833048236297221580179043252087 has 59 digits``` `GMP-ECM 6.2.3`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

## 82×10108+179

### c94

name 名前 Dmitry Domanov May 13, 2010 18:01:11 UTC 2010 年 5 月 14 日 (金) 3 時 1 分 11 秒 (日本時間) `2152779572282545846594364589676160012127004041056263479128457729310325591498628174287149371641<94>` ```16101721324308526861743742054213836974933<41> 133698722572755426933995864448080569564511164763174677<54>``` ```N=2152779572282545846594364589676160012127004041056263479128457729310325591498628174287149371641 ( 94 digits) SNFS difficulty: 109 digits. Divisors found: r1=16101721324308526861743742054213836974933 (pp41) r2=133698722572755426933995864448080569564511164763174677 (pp54) Version: Msieve-1.40 Total time: 0.66 hours. Scaled time: 1.30 units (timescale=1.976). Factorization parameters were as follows: n: 2152779572282545846594364589676160012127004041056263479128457729310325591498628174287149371641 m: 1000000000000000000000 deg: 5 c5: 82000 c0: 17 skew: 0.18 type: snfs lss: 1 rlim: 480000 alim: 480000 lpbr: 25 lpba: 25 mfbr: 44 mfba: 44 rlambda: 2.2 alambda: 2.2Factor base limits: 480000/480000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 44/44 Sieved rational special-q in [240000, 390001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 45068 x 45297 Total sieving time: 0.64 hours. Total relation processing time: 0.01 hours. Matrix solve time: 0.01 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,109.000,5,0,0,0,0,0,0,0,0,480000,480000,25,25,44,44,2.2,2.2,50000 total time: 0.66 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 KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

## 82×10113+179

### c106

name 名前 Dmitry Domanov May 13, 2010 19:13:27 UTC 2010 年 5 月 14 日 (金) 4 時 13 分 27 秒 (日本時間) `9437212967095675808136944327276266499616028000919815225032432046925082163512238527067697417941358790569783<106>` ```58904041833356176446868396204854137<35> 160213334660365726347569735436214020853105553782916747404423833617626159<72>``` ```Number: new02 N=9437212967095675808136944327276266499616028000919815225032432046925082163512238527067697417941358790569783 ( 106 digits) SNFS difficulty: 114 digits. Divisors found: r1=58904041833356176446868396204854137 (pp35) r2=160213334660365726347569735436214020853105553782916747404423833617626159 (pp72) Version: Msieve-1.40 Total time: 0.70 hours. Scaled time: 1.37 units (timescale=1.963). Factorization parameters were as follows: n: 9437212967095675808136944327276266499616028000919815225032432046925082163512238527067697417941358790569783 m: 10000000000000000000000 deg: 5 c5: 82000 c0: 17 skew: 0.18 type: snfs lss: 1 rlim: 580000 alim: 580000 lpbr: 25 lpba: 25 mfbr: 45 mfba: 45 rlambda: 2.2 alambda: 2.2Factor base limits: 580000/580000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 45/45 Sieved rational special-q in [290000, 440001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 64676 x 64924 Total sieving time: 0.65 hours. Total relation processing time: 0.01 hours. Matrix solve time: 0.01 hours. Time per square root: 0.03 hours. Prototype def-par.txt line would be: snfs,114.000,5,0,0,0,0,0,0,0,0,580000,580000,25,25,45,45,2.2,2.2,50000 total time: 0.70 hours. --------- CPU info (if available) ----------```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

## 82×10115+179

### c96

name 名前 Dmitry Domanov May 13, 2010 20:01:36 UTC 2010 年 5 月 14 日 (金) 5 時 1 分 36 秒 (日本時間) `156921962936352924821672445212942066403883640466955073559787417177181567591453509841725742332981<96>` ```395513798260482605230147343726960780544626357<45> 396754711533490479955627887553016356675121709557633<51>``` ```Number: new03 N=156921962936352924821672445212942066403883640466955073559787417177181567591453509841725742332981 ( 96 digits) SNFS difficulty: 116 digits. Divisors found: r1=395513798260482605230147343726960780544626357 (pp45) r2=396754711533490479955627887553016356675121709557633 (pp51) Version: Msieve-1.40 Total time: 0.69 hours. Scaled time: 1.35 units (timescale=1.957). Factorization parameters were as follows: n: 156921962936352924821672445212942066403883640466955073559787417177181567591453509841725742332981 m: 100000000000000000000000 deg: 5 c5: 82 c0: 17 skew: 0.73 type: snfs lss: 1 rlim: 620000 alim: 620000 lpbr: 25 lpba: 25 mfbr: 45 mfba: 45 rlambda: 2.2 alambda: 2.2Factor base limits: 620000/620000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 45/45 Sieved rational special-q in [310000, 460001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 70994 x 71238 Total sieving time: 0.66 hours. Total relation processing time: 0.01 hours. Matrix solve time: 0.01 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,116.000,5,0,0,0,0,0,0,0,0,620000,620000,25,25,45,45,2.2,2.2,50000 total time: 0.69 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 KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

## 82×10116+179

### c115

name 名前 Dmitry Domanov May 14, 2010 08:13:39 UTC 2010 年 5 月 14 日 (金) 17 時 13 分 39 秒 (日本時間) `1926239135541461122856471693680996006577401926239135541461122856471693680996006577401926239135541461122856471693681<115>` ```53649951339299568414580805184063827608831933<44> 35903837514395950702633260064154845446078952215044771853869359071279557<71>``` ```Number: new06 N=1926239135541461122856471693680996006577401926239135541461122856471693680996006577401926239135541461122856471693681 ( 115 digits) SNFS difficulty: 117 digits. Divisors found: r1=53649951339299568414580805184063827608831933 (pp44) r2=35903837514395950702633260064154845446078952215044771853869359071279557 (pp71) Version: Msieve-1.40 Total time: 0.94 hours. Scaled time: 1.85 units (timescale=1.969). Factorization parameters were as follows: n: 1926239135541461122856471693680996006577401926239135541461122856471693680996006577401926239135541461122856471693681 m: 100000000000000000000000 deg: 5 c5: 820 c0: 17 skew: 0.46 type: snfs lss: 1 rlim: 650000 alim: 650000 lpbr: 25 lpba: 25 mfbr: 45 mfba: 45 rlambda: 2.2 alambda: 2.2Factor base limits: 650000/650000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 45/45 Sieved rational special-q in [325000, 525001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 61190 x 61417 Total sieving time: 0.92 hours. Total relation processing time: 0.01 hours. Matrix solve time: 0.01 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,117.000,5,0,0,0,0,0,0,0,0,650000,650000,25,25,45,45,2.2,2.2,50000 total time: 0.94 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 KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

## 82×10117+179

### c113

name 名前 Dmitry Domanov May 13, 2010 20:57:09 UTC 2010 年 5 月 14 日 (金) 5 時 57 分 9 秒 (日本時間) `12615964949772304910641274113993859102134082783192642246158707915948749027070629864358375869905400263796750035117<113>` ```4411568943106145027377702197071130118488686287<46> 2859745617143074790617946050496807030308480985808995707692969009091<67>``` ```Number: new04 N=12615964949772304910641274113993859102134082783192642246158707915948749027070629864358375869905400263796750035117 ( 113 digits) SNFS difficulty: 118 digits. Divisors found: r1=4411568943106145027377702197071130118488686287 (pp46) r2=2859745617143074790617946050496807030308480985808995707692969009091 (pp67) Version: Msieve-1.40 Total time: 0.90 hours. Scaled time: 1.68 units (timescale=1.872). Factorization parameters were as follows: n: 12615964949772304910641274113993859102134082783192642246158707915948749027070629864358375869905400263796750035117 m: 100000000000000000000000 deg: 5 c5: 8200 c0: 17 skew: 0.29 type: snfs lss: 1 rlim: 670000 alim: 670000 lpbr: 25 lpba: 25 mfbr: 45 mfba: 45 rlambda: 2.2 alambda: 2.2Factor base limits: 670000/670000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 45/45 Sieved rational special-q in [335000, 535001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 71549 x 71774 Total sieving time: 0.86 hours. Total relation processing time: 0.01 hours. Matrix solve time: 0.01 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,118.000,5,0,0,0,0,0,0,0,0,670000,670000,25,25,45,45,2.2,2.2,50000 total time: 0.90 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 KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

## 82×10118+179

### c109

name 名前 Dmitry Domanov May 13, 2010 22:06:11 UTC 2010 年 5 月 14 日 (金) 7 時 6 分 11 秒 (日本時間) `1548526522906332734123934391472824817622177393546066627610950264982280141324131538634217104730865034648691319<109>` ```19358978785793377327080326587774258919<38> 79990093487923123810561090268630250574753998267826600908906544461999601<71>``` ```Number: new05 N=1548526522906332734123934391472824817622177393546066627610950264982280141324131538634217104730865034648691319 ( 109 digits) SNFS difficulty: 119 digits. Divisors found: r1=19358978785793377327080326587774258919 (pp38) r2=79990093487923123810561090268630250574753998267826600908906544461999601 (pp71) Version: Msieve-1.40 Total time: 1.14 hours. Scaled time: 2.13 units (timescale=1.866). Factorization parameters were as follows: n: 1548526522906332734123934391472824817622177393546066627610950264982280141324131538634217104730865034648691319 m: 100000000000000000000000 deg: 5 c5: 82000 c0: 17 skew: 0.18 type: snfs lss: 1 rlim: 700000 alim: 700000 lpbr: 25 lpba: 25 mfbr: 45 mfba: 45 rlambda: 2.2 alambda: 2.2Factor base limits: 700000/700000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 45/45 Sieved rational special-q in [350000, 600001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 74705 x 74930 Total sieving time: 1.10 hours. Total relation processing time: 0.01 hours. Matrix solve time: 0.02 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,119.000,5,0,0,0,0,0,0,0,0,700000,700000,25,25,45,45,2.2,2.2,50000 total time: 1.14 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 KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

## 82×10120+179

### c94

name 名前 Ignacio Santos May 13, 2010 21:26:55 UTC 2010 年 5 月 14 日 (金) 6 時 26 分 55 秒 (日本時間) `4084096945994604362744365922287820280557353996440751969290426829970583826294777389978148390339<94>` ```3167222596829843362126224842963174113<37> 1289488446464888423303930110468481224313172194004571636003<58>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1085336403 Step 1 took 13072ms Step 2 took 11560ms ********** Factor found in step 2: 3167222596829843362126224842963174113 Found probable prime factor of 37 digits: 3167222596829843362126224842963174113 Probable prime cofactor 1289488446464888423303930110468481224313172194004571636003 has 58 digits``` `GMP-ECM 6.2.3`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

## 82×10122+179

### c104

name 名前 Sinkiti Sibata May 14, 2010 06:29:15 UTC 2010 年 5 月 14 日 (金) 15 時 29 分 15 秒 (日本時間) `77288774750303429237718718028267287490143393283755912149291336853267713278790592316228549534604597177571<104>` ```341133264788837302071889527125167386878645069<45> 226564755560104800325507146561352151330748973602951850936559<60>``` ```Number: 91113_122 N=77288774750303429237718718028267287490143393283755912149291336853267713278790592316228549534604597177571 ( 104 digits) SNFS difficulty: 123 digits. Divisors found: r1=341133264788837302071889527125167386878645069 (pp45) r2=226564755560104800325507146561352151330748973602951850936559 (pp60) Version: Msieve-1.40 Total time: 1.81 hours. Scaled time: 4.63 units (timescale=2.554). Factorization parameters were as follows: name: 91113_122 n: 77288774750303429237718718028267287490143393283755912149291336853267713278790592316228549534604597177571 m: 1000000000000000000000000 deg: 5 c5: 8200 c0: 17 skew: 0.29 type: snfs lss: 1 rlim: 810000 alim: 810000 lpbr: 25 lpba: 25 mfbr: 46 mfba: 46 rlambda: 2.2 alambda: 2.2 Factor base limits: 810000/810000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved rational special-q in [405000, 705001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 92542 x 92790 Total sieving time: 1.77 hours. Total relation processing time: 0.02 hours. Matrix solve time: 0.02 hours. Time per square root: 0.02 hours. Prototype def-par.txt line would be: snfs,123.000,5,0,0,0,0,0,0,0,0,810000,810000,25,25,46,46,2.2,2.2,50000 total time: 1.81 hours. --------- CPU info (if available) ----------``` ```Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin) ```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

## 82×10126+179

### c84

name 名前 Dmitry Domanov May 13, 2010 15:59:25 UTC 2010 年 5 月 14 日 (金) 0 時 59 分 25 秒 (日本時間) `200455768682162479107271429289641747544355692706538159784451450848603569631999850211<84>` ```332364045178146222460874098841<30> 603121100462953907584530829817841230409992416866532571<54>``` ```Thu May 13 16:10:13 2010 Thu May 13 16:10:13 2010 Thu May 13 16:10:13 2010 Msieve v. 1.42 Thu May 13 16:10:13 2010 random seeds: 2a7ea228 6ab1ddfe Thu May 13 16:10:13 2010 factoring 128728341404049487627120818266606063157828410785757168645018581916840735311581874309823 (87 digits) Thu May 13 16:10:14 2010 searching for 15-digit factors Thu May 13 16:10:15 2010 commencing quadratic sieve (87-digit input) Thu May 13 16:10:15 2010 using multiplier of 17 Thu May 13 16:10:15 2010 using 32kb Intel Core sieve core Thu May 13 16:10:15 2010 sieve interval: 19 blocks of size 32768 Thu May 13 16:10:15 2010 processing polynomials in batches of 11 Thu May 13 16:10:15 2010 using a sieve bound of 1480243 (56232 primes) Thu May 13 16:10:15 2010 using large prime bound of 118419440 (26 bits) Thu May 13 16:10:15 2010 using double large prime bound of 340534638927600 (41-49 bits) Thu May 13 16:10:15 2010 using trial factoring cutoff of 49 bits Thu May 13 16:10:15 2010 polynomial 'A' values have 11 factors Thu May 13 16:59:16 2010 56426 relations (15794 full + 40632 combined from 592438 partial), need 56328 Thu May 13 16:59:17 2010 begin with 608232 relations Thu May 13 16:59:17 2010 reduce to 135113 relations in 9 passes Thu May 13 16:59:17 2010 attempting to read 135113 relations Thu May 13 16:59:19 2010 recovered 135113 relations Thu May 13 16:59:19 2010 recovered 113761 polynomials Thu May 13 16:59:19 2010 attempting to build 56426 cycles Thu May 13 16:59:19 2010 found 56426 cycles in 5 passes Thu May 13 16:59:19 2010 distribution of cycle lengths: Thu May 13 16:59:19 2010 length 1 : 15794 Thu May 13 16:59:19 2010 length 2 : 11030 Thu May 13 16:59:19 2010 length 3 : 9956 Thu May 13 16:59:19 2010 length 4 : 7435 Thu May 13 16:59:19 2010 length 5 : 5016 Thu May 13 16:59:19 2010 length 6 : 3179 Thu May 13 16:59:19 2010 length 7 : 1835 Thu May 13 16:59:19 2010 length 9+: 2181 Thu May 13 16:59:19 2010 largest cycle: 18 relations Thu May 13 16:59:20 2010 matrix is 56232 x 56426 (13.3 MB) with weight 3261000 (57.79/col) Thu May 13 16:59:20 2010 sparse part has weight 3261000 (57.79/col) Thu May 13 16:59:20 2010 filtering completed in 3 passes Thu May 13 16:59:20 2010 matrix is 51777 x 51837 (12.3 MB) with weight 3025820 (58.37/col) Thu May 13 16:59:20 2010 sparse part has weight 3025820 (58.37/col) Thu May 13 16:59:20 2010 saving the first 48 matrix rows for later Thu May 13 16:59:20 2010 matrix is 51729 x 51837 (8.1 MB) with weight 2395976 (46.22/col) Thu May 13 16:59:20 2010 sparse part has weight 1821461 (35.14/col) Thu May 13 16:59:20 2010 matrix includes 64 packed rows Thu May 13 16:59:20 2010 using block size 20734 for processor cache size 4096 kB Thu May 13 16:59:21 2010 commencing Lanczos iteration Thu May 13 16:59:21 2010 memory use: 8.2 MB Thu May 13 16:59:39 2010 lanczos halted after 819 iterations (dim = 51727) Thu May 13 16:59:40 2010 recovered 18 nontrivial dependencies Thu May 13 16:59:40 2010 prp41 factor: 33118188751671819378887504895087468470987 Thu May 13 16:59:40 2010 prp46 factor: 3886937850656196577292061071532898451695457629 Thu May 13 16:59:40 2010 elapsed time 00:49:27 Thu May 13 18:17:23 2010 Thu May 13 18:17:23 2010 Thu May 13 18:17:23 2010 Msieve v. 1.42 Thu May 13 18:17:23 2010 random seeds: 157caf40 fb66b0e4 Thu May 13 18:17:23 2010 factoring 200455768682162479107271429289641747544355692706538159784451450848603569631999850211 (84 digits) Thu May 13 18:17:24 2010 searching for 15-digit factors Thu May 13 18:17:25 2010 searching for 20-digit factors Thu May 13 18:17:33 2010 commencing quadratic sieve (84-digit input) Thu May 13 18:17:33 2010 using multiplier of 1 Thu May 13 18:17:33 2010 using 32kb Intel Core sieve core Thu May 13 18:17:33 2010 sieve interval: 12 blocks of size 32768 Thu May 13 18:17:33 2010 processing polynomials in batches of 17 Thu May 13 18:17:33 2010 using a sieve bound of 1392233 (53235 primes) Thu May 13 18:17:33 2010 using large prime bound of 121124271 (26 bits) Thu May 13 18:17:33 2010 using trial factoring cutoff of 27 bits Thu May 13 18:17:33 2010 polynomial 'A' values have 11 factors Thu May 13 18:55:54 2010 53454 relations (26508 full + 26946 combined from 286577 partial), need 53331 Thu May 13 18:55:54 2010 begin with 313085 relations Thu May 13 18:55:54 2010 reduce to 76959 relations in 2 passes Thu May 13 18:55:54 2010 attempting to read 76959 relations Thu May 13 18:55:55 2010 recovered 76959 relations Thu May 13 18:55:55 2010 recovered 71638 polynomials Thu May 13 18:55:55 2010 attempting to build 53454 cycles Thu May 13 18:55:55 2010 found 53454 cycles in 1 passes Thu May 13 18:55:55 2010 distribution of cycle lengths: Thu May 13 18:55:55 2010 length 1 : 26508 Thu May 13 18:55:55 2010 length 2 : 26946 Thu May 13 18:55:55 2010 largest cycle: 2 relations Thu May 13 18:55:55 2010 matrix is 53235 x 53454 (7.4 MB) with weight 1734372 (32.45/col) Thu May 13 18:55:55 2010 sparse part has weight 1734372 (32.45/col) Thu May 13 18:55:56 2010 filtering completed in 3 passes Thu May 13 18:55:56 2010 matrix is 39985 x 40049 (6.0 MB) with weight 1423914 (35.55/col) Thu May 13 18:55:56 2010 sparse part has weight 1423914 (35.55/col) Thu May 13 18:55:56 2010 saving the first 48 matrix rows for later Thu May 13 18:55:56 2010 matrix is 39937 x 40049 (3.8 MB) with weight 1060767 (26.49/col) Thu May 13 18:55:56 2010 sparse part has weight 754268 (18.83/col) Thu May 13 18:55:56 2010 matrix includes 64 packed rows Thu May 13 18:55:56 2010 using block size 16019 for processor cache size 4096 kB Thu May 13 18:55:56 2010 commencing Lanczos iteration Thu May 13 18:55:56 2010 memory use: 4.7 MB Thu May 13 18:56:05 2010 lanczos halted after 633 iterations (dim = 39937) Thu May 13 18:56:05 2010 recovered 18 nontrivial dependencies Thu May 13 18:56:06 2010 prp30 factor: 332364045178146222460874098841 Thu May 13 18:56:06 2010 prp54 factor: 603121100462953907584530829817841230409992416866532571 Thu May 13 18:56:06 2010 elapsed time 00:38:43``` `msieve v1.42`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

## 82×10127+179

### c111

name 名前 Sinkiti Sibata May 14, 2010 06:32:26 UTC 2010 年 5 月 14 日 (金) 15 時 32 分 26 秒 (日本時間) `812576862351072366958894078111903725828048329529980020047389956214874226691832999612649375028444535393246074243<111>` ```17335781223099759479980063660697<32> 46872814780814239820495120925902378381763602986378483952065038288081544226193019<80>``` ```Number: 91113_127 N=812576862351072366958894078111903725828048329529980020047389956214874226691832999612649375028444535393246074243 ( 111 digits) SNFS difficulty: 128 digits. Divisors found: r1=17335781223099759479980063660697 (pp32) r2=46872814780814239820495120925902378381763602986378483952065038288081544226193019 (pp80) Version: Msieve-1.40 Total time: 2.37 hours. Scaled time: 5.21 units (timescale=2.195). Factorization parameters were as follows: name: 91113_127 n: 812576862351072366958894078111903725828048329529980020047389956214874226691832999612649375028444535393246074243 m: 10000000000000000000000000 deg: 5 c5: 8200 c0: 17 skew: 0.29 type: snfs lss: 1 rlim: 990000 alim: 990000 lpbr: 26 lpba: 26 mfbr: 47 mfba: 47 rlambda: 2.3 alambda: 2.3 Factor base limits: 990000/990000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 47/47 Sieved rational special-q in [495000, 845001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 132788 x 133028 Total sieving time: 2.30 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.04 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,128.000,5,0,0,0,0,0,0,0,0,990000,990000,26,26,47,47,2.3,2.3,50000 total time: 2.37 hours. --------- CPU info (if available) ----------``` ```Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin) ```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

## 82×10128+179

### c115

name 名前 Sinkiti Sibata May 14, 2010 06:15:16 UTC 2010 年 5 月 14 日 (金) 15 時 15 分 16 秒 (日本時間) `8599740021067304293004004783832673438504937864362824196186162211185624330946948842629525267705421869043235314367917<115>` ```13211190807228261524360237758892253183640691<44> 650943593696498105239599153683548357429082643805327773445279658405825887<72>``` ```Number: 91113_128 N=8599740021067304293004004783832673438504937864362824196186162211185624330946948842629525267705421869043235314367917 ( 115 digits) SNFS difficulty: 129 digits. Divisors found: r1=13211190807228261524360237758892253183640691 (pp44) r2=650943593696498105239599153683548357429082643805327773445279658405825887 (pp72) Version: Msieve v. 1.42 Total time: 0.14 hours. Scaled time: 0.12 units (timescale=0.851). Factorization parameters were as follows: name: 91113_128 n: 8599740021067304293004004783832673438504937864362824196186162211185624330946948842629525267705421869043235314367917 m: 10000000000000000000000000 deg: 5 c5: 82000 c0: 17 skew: 0.18 type: snfs lss: 1 rlim: 1020000 alim: 1020000 lpbr: 26 lpba: 26 mfbr: 47 mfba: 47 rlambda: 2.3 alambda: 2.3 Factor base limits: 1020000/1020000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 47/47 Sieved rational special-q in [510000, 910001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 136799 x 137025 Total sieving time: 0.00 hours. Total relation processing time: 0.02 hours. Matrix solve time: 0.05 hours. Time per square root: 0.06 hours. Prototype def-par.txt line would be: snfs,129.000,5,0,0,0,0,0,0,0,0,1020000,1020000,26,26,47,47,2.3,2.3,50000 total time: 0.14 hours. --------- CPU info (if available) ---------- CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02 CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02 Memory: 3886124k/4718592k available (3786k kernel code, 656964k absent, 175504k reserved, 2294k data, 1304k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 5827.57 BogoMIPS (lpj=2913789) Calibrating delay using timer specific routine.. 5826.53 BogoMIPS (lpj=2913268) Total of 2 processors activated (11654.11 BogoMIPS). Total time: 1 hour 28min.```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

## 82×10131+179

### c89

name 名前 Dmitry Domanov May 13, 2010 19:39:43 UTC 2010 年 5 月 14 日 (金) 4 時 39 分 43 秒 (日本時間) `19785613531544580619311927012147433451999727833571561054445795007717409175636914003979331<89>` ```13851474345297948427966547859098690527<38> 1428412098114382168333023651401971757271775700788253<52>``` ```Thu May 13 21:21:11 2010 Thu May 13 21:21:11 2010 Thu May 13 21:21:11 2010 Msieve v. 1.42 Thu May 13 21:21:11 2010 random seeds: fe18d8b0 ba4db40c Thu May 13 21:21:11 2010 factoring 19785613531544580619311927012147433451999727833571561054445795007717409175636914003979331 (89 digits) Thu May 13 21:21:12 2010 searching for 15-digit factors Thu May 13 21:21:13 2010 commencing quadratic sieve (89-digit input) Thu May 13 21:21:13 2010 using multiplier of 11 Thu May 13 21:21:13 2010 using 32kb Intel Core sieve core Thu May 13 21:21:13 2010 sieve interval: 30 blocks of size 32768 Thu May 13 21:21:13 2010 processing polynomials in batches of 7 Thu May 13 21:21:13 2010 using a sieve bound of 1538057 (58667 primes) Thu May 13 21:21:13 2010 using large prime bound of 123044560 (26 bits) Thu May 13 21:21:13 2010 using double large prime bound of 364848284064320 (42-49 bits) Thu May 13 21:21:13 2010 using trial factoring cutoff of 49 bits Thu May 13 21:21:13 2010 polynomial 'A' values have 11 factors Thu May 13 22:34:07 2010 59015 relations (16226 full + 42789 combined from 617646 partial), need 58763 Thu May 13 22:34:08 2010 begin with 633872 relations Thu May 13 22:34:08 2010 reduce to 141933 relations in 9 passes Thu May 13 22:34:08 2010 attempting to read 141933 relations Thu May 13 22:34:11 2010 recovered 141933 relations Thu May 13 22:34:11 2010 recovered 119675 polynomials Thu May 13 22:34:11 2010 attempting to build 59015 cycles Thu May 13 22:34:11 2010 found 59015 cycles in 5 passes Thu May 13 22:34:11 2010 distribution of cycle lengths: Thu May 13 22:34:11 2010 length 1 : 16226 Thu May 13 22:34:11 2010 length 2 : 11623 Thu May 13 22:34:11 2010 length 3 : 10331 Thu May 13 22:34:11 2010 length 4 : 7761 Thu May 13 22:34:11 2010 length 5 : 5335 Thu May 13 22:34:11 2010 length 6 : 3417 Thu May 13 22:34:11 2010 length 7 : 2007 Thu May 13 22:34:11 2010 length 9+: 2315 Thu May 13 22:34:11 2010 largest cycle: 18 relations Thu May 13 22:34:11 2010 matrix is 58667 x 59015 (14.3 MB) with weight 3508370 (59.45/col) Thu May 13 22:34:11 2010 sparse part has weight 3508370 (59.45/col) Thu May 13 22:34:12 2010 filtering completed in 3 passes Thu May 13 22:34:12 2010 matrix is 54422 x 54485 (13.3 MB) with weight 3263203 (59.89/col) Thu May 13 22:34:12 2010 sparse part has weight 3263203 (59.89/col) Thu May 13 22:34:12 2010 saving the first 48 matrix rows for later Thu May 13 22:34:12 2010 matrix is 54374 x 54485 (9.7 MB) with weight 2689092 (49.35/col) Thu May 13 22:34:12 2010 sparse part has weight 2204490 (40.46/col) Thu May 13 22:34:12 2010 matrix includes 64 packed rows Thu May 13 22:34:12 2010 using block size 21794 for processor cache size 4096 kB Thu May 13 22:34:13 2010 commencing Lanczos iteration Thu May 13 22:34:13 2010 memory use: 9.2 MB Thu May 13 22:34:41 2010 lanczos halted after 862 iterations (dim = 54370) Thu May 13 22:34:41 2010 recovered 16 nontrivial dependencies Thu May 13 22:34:41 2010 prp38 factor: 13851474345297948427966547859098690527 Thu May 13 22:34:41 2010 prp52 factor: 1428412098114382168333023651401971757271775700788253 Thu May 13 22:34:41 2010 elapsed time 01:13:30```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

## 82×10134+179

### c92

name 名前 Dmitry Domanov May 13, 2010 18:22:00 UTC 2010 年 5 月 14 日 (金) 3 時 22 分 0 秒 (日本時間) `50109172086337000093480973451585175485339362310503106416758964280541602136344190345796295067<92>` ```678872655006934731371092465064213537932957<42> 73812329480004068534271093977894591064551251726231<50>``` ```Thu May 13 18:59:47 2010 Msieve v. 1.42 Thu May 13 18:59:47 2010 random seeds: 75527110 7dba403e Thu May 13 18:59:47 2010 factoring 50109172086337000093480973451585175485339362310503106416758964280541602136344190345796295067 (92 digits) Thu May 13 18:59:48 2010 searching for 15-digit factors Thu May 13 18:59:48 2010 commencing quadratic sieve (92-digit input) Thu May 13 18:59:49 2010 using multiplier of 43 Thu May 13 18:59:49 2010 using 32kb Intel Core sieve core Thu May 13 18:59:49 2010 sieve interval: 36 blocks of size 32768 Thu May 13 18:59:49 2010 processing polynomials in batches of 6 Thu May 13 18:59:49 2010 using a sieve bound of 1821709 (68030 primes) Thu May 13 18:59:49 2010 using large prime bound of 198566281 (27 bits) Thu May 13 18:59:49 2010 using double large prime bound of 863435489420069 (42-50 bits) Thu May 13 18:59:49 2010 using trial factoring cutoff of 50 bits Thu May 13 18:59:49 2010 polynomial 'A' values have 12 factors Thu May 13 21:16:23 2010 68361 relations (18163 full + 50198 combined from 849808 partial), need 68126 Thu May 13 21:16:37 2010 begin with 867971 relations Thu May 13 21:16:38 2010 reduce to 169514 relations in 10 passes Thu May 13 21:16:38 2010 attempting to read 169514 relations Thu May 13 21:16:41 2010 recovered 169514 relations Thu May 13 21:16:41 2010 recovered 148527 polynomials Thu May 13 21:16:41 2010 attempting to build 68361 cycles Thu May 13 21:16:41 2010 found 68361 cycles in 5 passes Thu May 13 21:16:41 2010 distribution of cycle lengths: Thu May 13 21:16:41 2010 length 1 : 18163 Thu May 13 21:16:41 2010 length 2 : 12814 Thu May 13 21:16:41 2010 length 3 : 11862 Thu May 13 21:16:41 2010 length 4 : 9168 Thu May 13 21:16:41 2010 length 5 : 6513 Thu May 13 21:16:41 2010 length 6 : 4148 Thu May 13 21:16:41 2010 length 7 : 2564 Thu May 13 21:16:41 2010 length 9+: 3129 Thu May 13 21:16:41 2010 largest cycle: 20 relations Thu May 13 21:16:42 2010 matrix is 68030 x 68361 (16.8 MB) with weight 4123220 (60.32/col) Thu May 13 21:16:42 2010 sparse part has weight 4123220 (60.32/col) Thu May 13 21:16:43 2010 filtering completed in 4 passes Thu May 13 21:16:43 2010 matrix is 63837 x 63901 (15.7 MB) with weight 3871505 (60.59/col) Thu May 13 21:16:43 2010 sparse part has weight 3871505 (60.59/col) Thu May 13 21:16:43 2010 saving the first 48 matrix rows for later Thu May 13 21:16:44 2010 matrix is 63789 x 63901 (9.2 MB) with weight 2952194 (46.20/col) Thu May 13 21:16:44 2010 sparse part has weight 2034249 (31.83/col) Thu May 13 21:16:44 2010 matrix includes 64 packed rows Thu May 13 21:16:44 2010 using block size 25560 for processor cache size 4096 kB Thu May 13 21:16:44 2010 commencing Lanczos iteration Thu May 13 21:16:44 2010 memory use: 9.9 MB Thu May 13 21:17:15 2010 lanczos halted after 1010 iterations (dim = 63787) Thu May 13 21:17:15 2010 recovered 17 nontrivial dependencies Thu May 13 21:17:16 2010 prp42 factor: 678872655006934731371092465064213537932957 Thu May 13 21:17:16 2010 prp50 factor: 73812329480004068534271093977894591064551251726231 Thu May 13 21:17:16 2010 elapsed time 02:17:29``` `msieve v1.42`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

## 82×10135+179

### c131

name 名前 Sinkiti Sibata May 14, 2010 10:38:15 UTC 2010 年 5 月 14 日 (金) 19 時 38 分 15 秒 (日本時間) `58167042979060573881720864872993680363586579870088874985546908528068790331218748514789680031608822379840721611822948033421931670749<131>` ```9571238758963005777842477784098237<34> 366207766088024766364518287317921770873421<42> 16595153970537681319967298699241868478101132459234448037<56>``` ```Number: 91113_135 N=58167042979060573881720864872993680363586579870088874985546908528068790331218748514789680031608822379840721611822948033421931670749 ( 131 digits) SNFS difficulty: 136 digits. Divisors found: r1=9571238758963005777842477784098237 (pp34) r2=366207766088024766364518287317921770873421 (pp42) r3=16595153970537681319967298699241868478101132459234448037 (pp56) Version: Msieve-1.40 Total time: 3.91 hours. Scaled time: 8.98 units (timescale=2.298). Factorization parameters were as follows: name: 91113_135 n: 58167042979060573881720864872993680363586579870088874985546908528068790331218748514789680031608822379840721611822948033421931670749 m: 1000000000000000000000000000 deg: 5 c5: 82 c0: 17 skew: 0.73 type: snfs lss: 1 rlim: 1340000 alim: 1340000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.3 alambda: 2.3 Factor base limits: 1340000/1340000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved rational special-q in [670000, 1195001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 194301 x 194549 Total sieving time: 3.73 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.08 hours. Time per square root: 0.06 hours. Prototype def-par.txt line would be: snfs,136.000,5,0,0,0,0,0,0,0,0,1340000,1340000,26,26,48,48,2.3,2.3,75000 total time: 3.91 hours. --------- CPU info (if available) ----------``` ```Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin) ```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

## 82×10136+179

### c85

name 名前 Dmitry Domanov May 13, 2010 20:18:53 UTC 2010 年 5 月 14 日 (金) 5 時 18 分 53 秒 (日本時間) `4012282221221380661457898941031523093966965112474981658391842950320320300849811390217<85>` ```8412882645880788054977964332976917627<37> 476921215962274266488684832187575455572509988171<48>``` ```Thu May 13 23:15:24 2010 54835 relations (16131 full + 38704 combined from 570058 partial), need 54802 Thu May 13 23:15:25 2010 begin with 586189 relations Thu May 13 23:15:25 2010 reduce to 128439 relations in 10 passes Thu May 13 23:15:25 2010 attempting to read 128439 relations Thu May 13 23:15:27 2010 recovered 128439 relations Thu May 13 23:15:27 2010 recovered 108034 polynomials Thu May 13 23:15:27 2010 attempting to build 54835 cycles Thu May 13 23:15:27 2010 found 54835 cycles in 5 passes Thu May 13 23:15:27 2010 distribution of cycle lengths: Thu May 13 23:15:27 2010 length 1 : 16131 Thu May 13 23:15:27 2010 length 2 : 11200 Thu May 13 23:15:27 2010 length 3 : 9616 Thu May 13 23:15:27 2010 length 4 : 6967 Thu May 13 23:15:27 2010 length 5 : 4823 Thu May 13 23:15:27 2010 length 6 : 2756 Thu May 13 23:15:27 2010 length 7 : 1532 Thu May 13 23:15:27 2010 length 9+: 1810 Thu May 13 23:15:27 2010 largest cycle: 16 relations Thu May 13 23:15:28 2010 matrix is 54706 x 54835 (11.9 MB) with weight 2887459 (52.66/col) Thu May 13 23:15:28 2010 sparse part has weight 2887459 (52.66/col) Thu May 13 23:15:28 2010 filtering completed in 3 passes Thu May 13 23:15:28 2010 matrix is 49396 x 49460 (10.8 MB) with weight 2639711 (53.37/col) Thu May 13 23:15:28 2010 sparse part has weight 2639711 (53.37/col) Thu May 13 23:15:29 2010 saving the first 48 matrix rows for later Thu May 13 23:15:29 2010 matrix is 49348 x 49460 (6.4 MB) with weight 1989312 (40.22/col) Thu May 13 23:15:29 2010 sparse part has weight 1376202 (27.82/col) Thu May 13 23:15:29 2010 matrix includes 64 packed rows Thu May 13 23:15:29 2010 using block size 19784 for processor cache size 4096 kB Thu May 13 23:15:29 2010 commencing Lanczos iteration Thu May 13 23:15:29 2010 memory use: 7.0 MB Thu May 13 23:15:46 2010 lanczos halted after 782 iterations (dim = 49348) Thu May 13 23:15:47 2010 recovered 18 nontrivial dependencies Thu May 13 23:15:48 2010 prp37 factor: 8412882645880788054977964332976917627 Thu May 13 23:15:48 2010 prp48 factor: 476921215962274266488684832187575455572509988171 Thu May 13 23:15:48 2010 elapsed time 00:38:11```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

## 82×10137+179

### c114

name 名前 Sinkiti Sibata May 14, 2010 06:09:17 UTC 2010 年 5 月 14 日 (金) 15 時 9 分 17 秒 (日本時間) `482210379253554199947604357914620269566479665913847506127857460058577750033832870860269861746399583558558928613593<114>` ```199862846639939827167818799337409409461<39> 2412706450250224352192974274100177094126389165676456201115465233936130574613<76>``` ```Number: 91113_137 N=482210379253554199947604357914620269566479665913847506127857460058577750033832870860269861746399583558558928613593 ( 114 digits) SNFS difficulty: 138 digits. Divisors found: r1=199862846639939827167818799337409409461 (pp39) r2=2412706450250224352192974274100177094126389165676456201115465233936130574613 (pp76) Version: Msieve-1.40 Total time: 3.94 hours. Scaled time: 8.99 units (timescale=2.282). Factorization parameters were as follows: name: 91113_137 n: 482210379253554199947604357914620269566479665913847506127857460058577750033832870860269861746399583558558928613593 m: 1000000000000000000000000000 deg: 5 c5: 8200 c0: 17 skew: 0.29 type: snfs lss: 1 rlim: 1450000 alim: 1450000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.3 alambda: 2.3 Factor base limits: 1450000/1450000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved rational special-q in [725000, 1400001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 211068 x 211293 Total sieving time: 3.81 hours. Total relation processing time: 0.02 hours. Matrix solve time: 0.08 hours. Time per square root: 0.03 hours. Prototype def-par.txt line would be: snfs,138.000,5,0,0,0,0,0,0,0,0,1450000,1450000,26,26,48,48,2.3,2.3,75000 total time: 3.94 hours. --------- CPU info (if available) ----------``` `Core i7 860 2.80GHz,Windows7 64bit,and Cygwin )`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

## 82×10139+179

### c108

name 名前 Sinkiti Sibata May 14, 2010 06:35:45 UTC 2010 年 5 月 14 日 (金) 15 時 35 分 45 秒 (日本時間) `427525936748983479378296690489619333691248820241237361037111804353626595220430095765608141191324754204564481<108>` ```3006303738977139474742075486477423334361743423<46> 142209827705048957708285994132706544196741298880983168097293247<63>``` ```Number: 91113_139 N=427525936748983479378296690489619333691248820241237361037111804353626595220430095765608141191324754204564481 ( 108 digits) SNFS difficulty: 140 digits. Divisors found: r1=3006303738977139474742075486477423334361743423 (pp46) r2=142209827705048957708285994132706544196741298880983168097293247 (pp63) Version: Msieve-1.40 Total time: 4.81 hours. Scaled time: 14.91 units (timescale=3.097). Factorization parameters were as follows: name: 91113_139 n: 427525936748983479378296690489619333691248820241237361037111804353626595220430095765608141191324754204564481 m: 2000000000000000000000000000 deg: 5 c5: 25625 c0: 17 skew: 0.23 type: snfs lss: 1 rlim: 1560000 alim: 1560000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.3 alambda: 2.3 Factor base limits: 1560000/1560000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved rational special-q in [780000, 1480001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 237870 x 238118 Total sieving time: 4.61 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.11 hours. Time per square root: 0.07 hours. Prototype def-par.txt line would be: snfs,140.000,5,0,0,0,0,0,0,0,0,1560000,1560000,26,26,48,48,2.3,2.3,100000 total time: 4.81 hours. --------- CPU info (if available) ----------``` ```Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin) ```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

## 82×10142+179

### c130

name 名前 Dmitry Domanov May 14, 2010 15:39:13 UTC 2010 年 5 月 15 日 (土) 0 時 39 分 13 秒 (日本時間) `5392276737316141911231526225767124575695557985596354051399779412596019401148516540660264620424847684923149736327542043841538617299<130>` ```1643415614721980989889047408102066703821780909383940493659<58> 3281140016567483576376419301018230958306396270565189042168036578985929961<73>``` ```N=5392276737316141911231526225767124575695557985596354051399779412596019401148516540660264620424847684923149736327542043841538617299 ( 130 digits) SNFS difficulty: 143 digits. Divisors found: r1=1643415614721980989889047408102066703821780909383940493659 (pp58) r2=3281140016567483576376419301018230958306396270565189042168036578985929961 (pp73) Version: Msieve-1.40 Total time: 5.99 hours. Scaled time: 9.73 units (timescale=1.624). Factorization parameters were as follows: n: 5392276737316141911231526225767124575695557985596354051399779412596019401148516540660264620424847684923149736327542043841538617299 m: 10000000000000000000000000000 deg: 5 c5: 8200 c0: 17 skew: 0.29 type: snfs lss: 1 rlim: 1750000 alim: 1750000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.3 alambda: 2.3Factor base limits: 1750000/1750000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved rational special-q in [875000, 1875001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 270877 x 271102 Total sieving time: 5.72 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.21 hours. Time per square root: 0.03 hours. Prototype def-par.txt line would be: snfs,143.000,5,0,0,0,0,0,0,0,0,1750000,1750000,26,26,48,48,2.3,2.3,100000 total time: 5.99 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 KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

## 82×10144+179

### c133

name 名前 Dmitry Domanov May 15, 2010 18:40:06 UTC 2010 年 5 月 16 日 (日) 3 時 40 分 6 秒 (日本時間) `7519069589743622061919226330730144968120882587758115000891183843563771932409056759341332493707587369477531848687004273667634104504167<133>` ```60477611546267139593984548311917649399293<41> 124328150492373763266537910033953469857753257997005321809074513205516640546993081812904263219<93>``` ```Number: new02 N=7519069589743622061919226330730144968120882587758115000891183843563771932409056759341332493707587369477531848687004273667634104504167 ( 133 digits) SNFS difficulty: 145 digits. Divisors found: r1=60477611546267139593984548311917649399293 (pp41) r2=124328150492373763266537910033953469857753257997005321809074513205516640546993081812904263219 (pp93) Version: Msieve-1.40 Total time: 6.65 hours. Scaled time: 12.90 units (timescale=1.939). Factorization parameters were as follows: n: 7519069589743622061919226330730144968120882587758115000891183843563771932409056759341332493707587369477531848687004273667634104504167 m: 20000000000000000000000000000 deg: 5 c5: 25625 c0: 17 skew: 0.23 type: snfs lss: 1 rlim: 1890000 alim: 1890000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.3 alambda: 2.3Factor base limits: 1890000/1890000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved rational special-q in [945000, 2145001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 252404 x 252629 Total sieving time: 6.52 hours. Total relation processing time: 0.04 hours. Matrix solve time: 0.08 hours. Time per square root: 0.02 hours. Prototype def-par.txt line would be: snfs,145.000,5,0,0,0,0,0,0,0,0,1890000,1890000,26,26,49,49,2.3,2.3,100000 total time: 6.65 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 KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

## 82×10145+179

### c134

name 名前 Dmitry Domanov May 15, 2010 19:59:57 UTC 2010 年 5 月 16 日 (日) 4 時 59 分 57 秒 (日本時間) `19159314729098148369957498596677144387354030045485608127845457772814695719048116943445593993879400434404492988674339615793489938562317<134>` ```667989828853344204506672357080471<33> 28682045596392660917704421161040408101158766847080665628033677076798197769739953757739806424254117627<101>``` ```Number: new03 N=19159314729098148369957498596677144387354030045485608127845457772814695719048116943445593993879400434404492988674339615793489938562317 ( 134 digits) SNFS difficulty: 146 digits. Divisors found: r1=667989828853344204506672357080471 (pp33) r2=28682045596392660917704421161040408101158766847080665628033677076798197769739953757739806424254117627 (pp101) Version: Msieve-1.40 Total time: 6.77 hours. Scaled time: 13.25 units (timescale=1.957). Factorization parameters were as follows: n: 19159314729098148369957498596677144387354030045485608127845457772814695719048116943445593993879400434404492988674339615793489938562317 m: 100000000000000000000000000000 deg: 5 c5: 82 c0: 17 skew: 0.73 type: snfs lss: 1 rlim: 1970000 alim: 1970000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.3 alambda: 2.3Factor base limits: 1970000/1970000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved rational special-q in [985000, 2185001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 287693 x 287922 Total sieving time: 6.58 hours. Total relation processing time: 0.04 hours. Matrix solve time: 0.10 hours. Time per square root: 0.05 hours. Prototype def-par.txt line would be: snfs,146.000,5,0,0,0,0,0,0,0,0,1970000,1970000,26,26,49,49,2.3,2.3,100000 total time: 6.77 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 KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

## 82×10148+179

### c120

name 名前 Dmitry Domanov May 15, 2010 21:55:16 UTC 2010 年 5 月 16 日 (日) 6 時 55 分 16 秒 (日本時間) `189835589746224811253316461337749911096508929817658631498884757862058502107282217207466987727670712890560813813453501307<120>` ```8012639032597147151431612574824237100276076643<46> 23692018194496545751395694744589299325361549056241457373244230081278320649<74>``` ```Number: new04 N=189835589746224811253316461337749911096508929817658631498884757862058502107282217207466987727670712890560813813453501307 ( 120 digits) SNFS difficulty: 149 digits. Divisors found: r1=8012639032597147151431612574824237100276076643 (pp46) r2=23692018194496545751395694744589299325361549056241457373244230081278320649 (pp74) Version: Msieve-1.40 Total time: 8.84 hours. Scaled time: 16.99 units (timescale=1.922). Factorization parameters were as follows: n: 189835589746224811253316461337749911096508929817658631498884757862058502107282217207466987727670712890560813813453501307 m: 100000000000000000000000000000 deg: 5 c5: 82000 c0: 17 skew: 0.18 type: snfs lss: 1 rlim: 2200000 alim: 2200000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.3 alambda: 2.3Factor base limits: 2200000/2200000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved rational special-q in [1100000, 2600001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 391204 x 391452 Total sieving time: 8.35 hours. Total relation processing time: 0.04 hours. Matrix solve time: 0.20 hours. Time per square root: 0.25 hours. Prototype def-par.txt line would be: snfs,149.000,5,0,0,0,0,0,0,0,0,2200000,2200000,26,26,49,49,2.3,2.3,100000 total time: 8.84 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 KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

## 82×10150+179

### c113

name 名前 Sinkiti Sibata May 15, 2010 03:08:36 UTC 2010 年 5 月 15 日 (土) 12 時 8 分 36 秒 (日本時間) `14371086350795332582457719679899734161765544124191072964394073431799750733576200860616310065979433345651442013133<113>` ```595997484524953352831441557984554258055948420571797879<54> 24112662761068483672224653521170249027843207691407415217627<59>``` ```Number: 91113_150 N=14371086350795332582457719679899734161765544124191072964394073431799750733576200860616310065979433345651442013133 ( 113 digits) SNFS difficulty: 151 digits. Divisors found: r1=595997484524953352831441557984554258055948420571797879 (pp54) r2=24112662761068483672224653521170249027843207691407415217627 (pp59) Version: Msieve-1.40 Total time: 17.56 hours. Scaled time: 35.30 units (timescale=2.010). Factorization parameters were as follows: name: 91113_150 n: 14371086350795332582457719679899734161765544124191072964394073431799750733576200860616310065979433345651442013133 m: 1000000000000000000000000000000 deg: 5 c5: 82 c0: 17 skew: 0.73 type: snfs lss: 1 rlim: 2400000 alim: 2400000 lpbr: 27 lpba: 27 mfbr: 49 mfba: 49 rlambda: 2.4 alambda: 2.4 Factor base limits: 2400000/2400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 49/49 Sieved rational special-q in [1200000, 1900001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 351108 x 351356 Total sieving time: 17.12 hours. Total relation processing time: 0.09 hours. Matrix solve time: 0.30 hours. Time per square root: 0.04 hours. Prototype def-par.txt line would be: snfs,151.000,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,49,49,2.4,2.4,100000 total time: 17.56 hours. --------- CPU info (if available) ----------``` ```Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin) ```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

## 82×10153+179

### c115

name 名前 Sinkiti Sibata May 15, 2010 22:02:05 UTC 2010 年 5 月 16 日 (日) 7 時 2 分 5 秒 (日本時間) `7126730036998534806103602759668450259394619516310643103399051548431310381955630348859752008272025267609259493026269<115>` ```1317440837139140481848018821345906902819016322135069<52> 5409525677429604982539961367345690706285464101353826892674244801<64>``` ```Number: 91113_153 N=7126730036998534806103602759668450259394619516310643103399051548431310381955630348859752008272025267609259493026269 ( 115 digits) SNFS difficulty: 154 digits. Divisors found: r1=1317440837139140481848018821345906902819016322135069 (pp52) r2=5409525677429604982539961367345690706285464101353826892674244801 (pp64) Version: Msieve-1.40 Total time: 22.69 hours. Scaled time: 48.49 units (timescale=2.137). Factorization parameters were as follows: name: 91113_153 n: 7126730036998534806103602759668450259394619516310643103399051548431310381955630348859752008272025267609259493026269 m: 1000000000000000000000000000000 deg: 5 c5: 82000 c0: 17 skew: 0.18 type: snfs lss: 1 rlim: 2700000 alim: 2700000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4 Factor base limits: 2700000/2700000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved rational special-q in [1350000, 2250001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 484053 x 484301 Total sieving time: 21.89 hours. Total relation processing time: 0.10 hours. Matrix solve time: 0.54 hours. Time per square root: 0.16 hours. Prototype def-par.txt line would be: snfs,154.000,5,0,0,0,0,0,0,0,0,2700000,2700000,27,27,50,50,2.4,2.4,100000 total time: 22.69 hours. --------- CPU info (if available) ----------``` ```Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin) ```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

## 82×10154+179

### c100

name 名前 Dmitry Domanov May 14, 2010 03:51:23 UTC 2010 年 5 月 14 日 (金) 12 時 51 分 23 秒 (日本時間) `2238693146054458135299246235381265013183900272857220647927296494124246420024100154595701647360934987<100>` ```1503149413437890627878637883913466063117897497337<49> 1489335076101508123133916234308925076451704526628451<52>``` ```N=2238693146054458135299246235381265013183900272857220647927296494124246420024100154595701647360934987 ( 100 digits) Divisors found: r1=1503149413437890627878637883913466063117897497337 (pp49) r2=1489335076101508123133916234308925076451704526628451 (pp52) Version: Msieve-1.40 Total time: 3.81 hours. Scaled time: 7.47 units (timescale=1.963). Factorization parameters were as follows: n: 2238693146054458135299246235381265013183900272857220647927296494124246420024100154595701647360934987 skew: 3098.93 # norm 1.22e+014 c5: 711360 c4: 3052500456 c3: -1084858456826 c2: -20326899135326431 c1: -49944119662762197522 c0: 79949095728716441757600 # alpha -6.56 Y1: 85695938999 Y0: -5006966051669102701 # Murphy_E 3.57e-009 # M 80524662593747366832244664013376931342578896342345947475324952988172595874667682544141234391974074 type: gnfs rlim: 1800000 alim: 1800000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 1800000/1800000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved algebraic special-q in [900000, 1400001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 196001 x 196227 Polynomial selection time: 0.38 hours. Total sieving time: 3.22 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.11 hours. Time per square root: 0.07 hours. Prototype def-par.txt line would be: gnfs,99,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000 total time: 3.81 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 KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

## 82×10155+179

### c154

name 名前 Dmitry Domanov May 15, 2010 17:21:41 UTC 2010 年 5 月 16 日 (日) 2 時 21 分 41 秒 (日本時間) `1024871891013623297087864016997875265591801024871891013623297087864016997875265591801024871891013623297087864016997875265591801024871891013623297087864017<154>` ```189924217083785170386395441671633<33> 28023167497463259693983687678543859056531655146781509572163<59> 192562632518525944164639667090589607680083178278459304664374123<63>``` ```Number: new01 N=1024871891013623297087864016997875265591801024871891013623297087864016997875265591801024871891013623297087864016997875265591801024871891013623297087864017 ( 154 digits) SNFS difficulty: 156 digits. Divisors found: r1=189924217083785170386395441671633 (pp33) r2=28023167497463259693983687678543859056531655146781509572163 (pp59) r3=192562632518525944164639667090589607680083178278459304664374123 (pp63) Version: Msieve-1.40 Total time: 15.81 hours. Scaled time: 30.85 units (timescale=1.951). Factorization parameters were as follows: n: 1024871891013623297087864016997875265591801024871891013623297087864016997875265591801024871891013623297087864016997875265591801024871891013623297087864017 m: 10000000000000000000000000000000 deg: 5 c5: 82 c0: 17 skew: 0.73 type: snfs lss: 1 rlim: 2900000 alim: 2900000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4Factor base limits: 2900000/2900000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved rational special-q in [1450000, 2350001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 489439 x 489668 Total sieving time: 15.30 hours. Total relation processing time: 0.07 hours. Matrix solve time: 0.30 hours. Time per square root: 0.15 hours. Prototype def-par.txt line would be: snfs,156.000,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000 total time: 15.81 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 KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

## 82×10156+179

### c141

name 名前 Sinkiti Sibata May 15, 2010 10:20:00 UTC 2010 年 5 月 15 日 (土) 19 時 20 分 0 秒 (日本時間) `969102464940383091777299369685977523227329857683999444267728920854359112197849998660696059094933746464851453067422136142679316877827289287511<141>` ```41600210178306061275446198639579374901036324325370638935579<59> 23295614632393293247428312319909968323757789369419395622262557800442249391667278709<83>``` ```Number: 91113_156 N=969102464940383091777299369685977523227329857683999444267728920854359112197849998660696059094933746464851453067422136142679316877827289287511 ( 141 digits) SNFS difficulty: 157 digits. Divisors found: r1=41600210178306061275446198639579374901036324325370638935579 (pp59) r2=23295614632393293247428312319909968323757789369419395622262557800442249391667278709 (pp83) Version: Msieve-1.40 Total time: 25.36 hours. Scaled time: 57.86 units (timescale=2.282). Factorization parameters were as follows: name: 91113_156 n: 969102464940383091777299369685977523227329857683999444267728920854359112197849998660696059094933746464851453067422136142679316877827289287511 m: 10000000000000000000000000000000 deg: 5 c5: 820 c0: 17 skew: 0.46 type: snfs lss: 1 rlim: 3000000 alim: 3000000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4 Factor base limits: 3000000/3000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved rational special-q in [1500000, 2500001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 510553 x 510801 Total sieving time: 24.55 hours. Total relation processing time: 0.10 hours. Matrix solve time: 0.58 hours. Time per square root: 0.13 hours. Prototype def-par.txt line would be: snfs,157.000,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000 total time: 25.36 hours. --------- CPU info (if available) ----------``` ```Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin) ```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

## 82×10158+179

### c129

name 名前 Sinkiti Sibata May 14, 2010 22:23:57 UTC 2010 年 5 月 15 日 (土) 7 時 23 分 57 秒 (日本時間) `586134854153590365798674175091934999536898608540452273998141625536739410500744003792397715915919596134472457914215520495845743303<129>` ```157887785438581266094150218679909548753622838312171<51> 3712350847948261676606796544239106955252294987265315645210068419442525882233493<79>``` ```Number: 91113_158 N=586134854153590365798674175091934999536898608540452273998141625536739410500744003792397715915919596134472457914215520495845743303 ( 129 digits) SNFS difficulty: 159 digits. Divisors found: r1=157887785438581266094150218679909548753622838312171 (pp51) r2=3712350847948261676606796544239106955252294987265315645210068419442525882233493 (pp79) Version: Msieve v. 1.42 Total time: 1.30 hours. Scaled time: 1.11 units (timescale=0.854). Factorization parameters were as follows: name: 91113_158 n: 586134854153590365798674175091934999536898608540452273998141625536739410500744003792397715915919596134472457914215520495845743303 m: 10000000000000000000000000000000 deg: 5 c5: 82000 c0: 17 skew: 0.18 type: snfs lss: 1 rlim: 3200000 alim: 3200000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4 Factor base limits: 3200000/3200000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved rational special-q in [1600000, 2900001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 591579 x 591806 Total sieving time: 0.00 hours. Total relation processing time: 0.08 hours. Matrix solve time: 1.14 hours. Time per square root: 0.08 hours. Prototype def-par.txt line would be: snfs,159.000,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,50,50,2.4,2.4,100000 total time: 1.30 hours. --------- CPU info (if available) ---------- CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02 CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02 Memory: 3886124k/4718592k available (3786k kernel code, 656964k absent, 175504k reserved, 2294k data, 1304k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 5827.57 BogoMIPS (lpj=2913789) Calibrating delay using timer specific routine.. 5826.53 BogoMIPS (lpj=2913268) Total of 2 processors activated (11654.11 BogoMIPS). Total time: 14 hours 27 min.```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

## 82×10159+179

### c102

name 名前 Dmitry Domanov May 14, 2010 07:17:44 UTC 2010 年 5 月 14 日 (金) 16 時 17 分 44 秒 (日本時間) `235817500135722488423399933746049306631272607958613788197681539793031651500266610317337072822503495641<102>` ```5982219685123533904676826898890231845328523<43> 39419732565513901707918593490168490515781075356267077860267<59>``` ```Number: new12 N=235817500135722488423399933746049306631272607958613788197681539793031651500266610317337072822503495641 ( 102 digits) Divisors found: r1=5982219685123533904676826898890231845328523 (pp43) r2=39419732565513901707918593490168490515781075356267077860267 (pp59) Version: Msieve-1.40 Total time: 5.24 hours. Scaled time: 10.19 units (timescale=1.946). Factorization parameters were as follows: name: new12 n: 235817500135722488423399933746049306631272607958613788197681539793031651500266610317337072822503495641 skew: 10412.33 # norm 1.38e+014 c5: 24360 c4: -846135794 c3: -4598139349245 c2: 36986234518750852 c1: 451604797837399729968 c0: 999293076820971707151808 # alpha -6.17 Y1: 50604080857 Y0: -24956625800866158045 # Murphy_E 2.87e-009 # M 175566211767128473621372286680677220142082536682383024454817787930316683084267043525610998047239435068 type: gnfs rlim: 2300000 alim: 2300000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.6 alambda: 2.6 qintsize: 100000 Factor base limits: 2300000/2300000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved algebraic special-q in [1150000, 1750001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 206997 x 207222 Polynomial selection time: 0.50 hours. Total sieving time: 4.52 hours. Total relation processing time: 0.04 hours. Matrix solve time: 0.13 hours. Time per square root: 0.03 hours. Prototype def-par.txt line would be: gnfs,101,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000 total time: 5.24 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 KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

## 82×10160+179

### c121

name 名前 Sinkiti Sibata May 15, 2010 10:27:12 UTC 2010 年 5 月 15 日 (土) 19 時 27 分 12 秒 (日本時間) `2842566792534043256862184457675332940856336509945042161934072314425447354819882519757261907379396390802450893287855042669<121>` ```18919684898368891611437460199390441397010007855394594651191<59> 150243876037232908852338519426547848774836078011843258733006459<63>``` ```Number: 91113_160 N=2842566792534043256862184457675332940856336509945042161934072314425447354819882519757261907379396390802450893287855042669 ( 121 digits) SNFS difficulty: 161 digits. Divisors found: r1=18919684898368891611437460199390441397010007855394594651191 (pp59) r2=150243876037232908852338519426547848774836078011843258733006459 (pp63) Version: Msieve-1.40 Total time: 25.41 hours. Scaled time: 54.58 units (timescale=2.148). Factorization parameters were as follows: name: 91113_160 n: 2842566792534043256862184457675332940856336509945042161934072314425447354819882519757261907379396390802450893287855042669 m: 100000000000000000000000000000000 deg: 5 c5: 82 c0: 17 skew: 0.73 type: snfs lss: 1 rlim: 3500000 alim: 3500000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4 Factor base limits: 3500000/3500000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved rational special-q in [1750000, 3050001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 603532 x 603762 Total sieving time: 24.65 hours. Total relation processing time: 0.05 hours. Matrix solve time: 0.66 hours. Time per square root: 0.05 hours. Prototype def-par.txt line would be: snfs,161.000,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000 total time: 25.41 hours. --------- CPU info (if available) ----------``` `Core i7 860 2.80GHz,Windows 7 64bit,and Cygwin )`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

## 82×10161+179

### c139

name 名前 Dmitry Domanov May 16, 2010 15:30:40 UTC 2010 年 5 月 17 日 (月) 0 時 30 分 40 秒 (日本時間) `2200745913432720777862276756580530639547141912015252022201848184095572285848223976022434848389006073126448990734886223094066014877312262531<139>` ```9257443088286638225329460627983338595975840038742676874183383759<64> 237727187998304341137298682638199581597194107226622732466862481563931159309<75>``` ```Number: new05 N=2200745913432720777862276756580530639547141912015252022201848184095572285848223976022434848389006073126448990734886223094066014877312262531 ( 139 digits) SNFS difficulty: 162 digits. Divisors found: r1=9257443088286638225329460627983338595975840038742676874183383759 (pp64) r2=237727187998304341137298682638199581597194107226622732466862481563931159309 (pp75) Version: Msieve-1.40 Total time: 25.75 hours. Scaled time: 47.77 units (timescale=1.855). Factorization parameters were as follows: n: 2200745913432720777862276756580530639547141912015252022201848184095572285848223976022434848389006073126448990734886223094066014877312262531 m: 100000000000000000000000000000000 deg: 5 c5: 820 c0: 17 skew: 0.46 type: snfs lss: 1 rlim: 3600000 alim: 3600000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4Factor base limits: 3600000/3600000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved rational special-q in [1800000, 3200001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 639783 x 640011 Total sieving time: 25.08 hours. Total relation processing time: 0.08 hours. Matrix solve time: 0.52 hours. Time per square root: 0.07 hours. Prototype def-par.txt line would be: snfs,162.000,5,0,0,0,0,0,0,0,0,3600000,3600000,27,27,51,51,2.4,2.4,100000 total time: 25.75 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 KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

## 82×10162+179

### c154

name 名前 Dmitry Domanov May 17, 2010 16:21:45 UTC 2010 年 5 月 18 日 (火) 1 時 21 分 45 秒 (日本時間) `1450459363914779682726183716545085542825905136591508314454423560469970769806759080576212089952687738942463621102941253167268858223316993077768634278290329<154>` ```694078749804452970735696527503481581<36> 1101561808809300609075348038384371453<37> 1897090055735674223343390929365642482219177248438234622540531973363374715842118753<82>``` ```Number: new06 N=1450459363914779682726183716545085542825905136591508314454423560469970769806759080576212089952687738942463621102941253167268858223316993077768634278290329 ( 154 digits) SNFS difficulty: 163 digits. Divisors found: r1=694078749804452970735696527503481581 (pp36) r2=1101561808809300609075348038384371453 (pp37) r3=1897090055735674223343390929365642482219177248438234622540531973363374715842118753 (pp82) Version: Msieve-1.40 Total time: 28.42 hours. Scaled time: 53.35 units (timescale=1.877). Factorization parameters were as follows: n: 1450459363914779682726183716545085542825905136591508314454423560469970769806759080576212089952687738942463621102941253167268858223316993077768634278290329 m: 100000000000000000000000000000000 deg: 5 c5: 8200 c0: 17 skew: 0.29 type: snfs lss: 1 rlim: 3800000 alim: 3800000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4Factor base limits: 3800000/3800000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved rational special-q in [1900000, 3500001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 746770 x 746996 Total sieving time: 27.44 hours. Total relation processing time: 0.08 hours. Matrix solve time: 0.69 hours. Time per square root: 0.21 hours. Prototype def-par.txt line would be: snfs,163.000,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000 total time: 28.42 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 KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

## 82×10163+179

### c158

name 名前 Sinkiti Sibata May 16, 2010 12:48:59 UTC 2010 年 5 月 16 日 (日) 21 時 48 分 59 秒 (日本時間) `13531904459935834679469036452986838688196718773905161251536799411844023810145004092658494617544731319168762832927962031984438441889653887053583090703811018307<158>` ```6681171730045672334224952186417385254927720854566939910823640331<64> 2025378931525133974662292355974365656861510794958193029534486446439419774407118034802838640297<94>``` ```Number: 91113_163 N=13531904459935834679469036452986838688196718773905161251536799411844023810145004092658494617544731319168762832927962031984438441889653887053583090703811018307 ( 158 digits) SNFS difficulty: 164 digits. Divisors found: r1=6681171730045672334224952186417385254927720854566939910823640331 (pp64) r2=2025378931525133974662292355974365656861510794958193029534486446439419774407118034802838640297 (pp94) Version: Msieve-1.40 Total time: 46.26 hours. Scaled time: 149.79 units (timescale=3.238). Factorization parameters were as follows: name: 91113_163 n: 13531904459935834679469036452986838688196718773905161251536799411844023810145004092658494617544731319168762832927962031984438441889653887053583090703811018307 m: 100000000000000000000000000000000 deg: 5 c5: 82000 c0: 17 skew: 0.18 type: snfs lss: 1 rlim: 3900000 alim: 3900000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4 Factor base limits: 3900000/3900000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved rational special-q in [1950000, 3950001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 697637 x 697885 Total sieving time: 45.02 hours. Total relation processing time: 0.10 hours. Matrix solve time: 0.97 hours. Time per square root: 0.17 hours. Prototype def-par.txt line would be: snfs,164.000,5,0,0,0,0,0,0,0,0,3900000,3900000,27,27,51,51,2.4,2.4,100000 total time: 46.26 hours. --------- CPU info (if available) ----------``` ```Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin) ```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

## 82×10164+179

### c154

name 名前 Sinkiti Sibata May 16, 2010 12:53:29 UTC 2010 年 5 月 16 日 (日) 21 時 53 分 29 秒 (日本時間) `1069087203319328596672728388114739325633584223752573449009403929483218194757109484050981847949290461152113191226118040240520868867743145898253421904760873<154>` ```5453205988940313609274070047354422179694555705374638950667<58> 196047463728227406630914075521110560757210801813122141681127626530760455332023234209007494894619<96>``` ```Number: 91113_164 N=1069087203319328596672728388114739325633584223752573449009403929483218194757109484050981847949290461152113191226118040240520868867743145898253421904760873 ( 154 digits) SNFS difficulty: 165 digits. Divisors found: r1=5453205988940313609274070047354422179694555705374638950667 (pp58) r2=196047463728227406630914075521110560757210801813122141681127626530760455332023234209007494894619 (pp96) Version: Msieve-1.40 Total time: 43.54 hours. Scaled time: 135.49 units (timescale=3.112). Factorization parameters were as follows: name: 91113_164 n: 1069087203319328596672728388114739325633584223752573449009403929483218194757109484050981847949290461152113191226118040240520868867743145898253421904760873 m: 200000000000000000000000000000000 deg: 5 c5: 25625 c0: 17 skew: 0.23 type: snfs lss: 1 rlim: 4100000 alim: 4100000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4 Factor base limits: 4100000/4100000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved rational special-q in [2050000, 3850001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 687343 x 687590 Total sieving time: 42.18 hours. Total relation processing time: 0.10 hours. Matrix solve time: 0.96 hours. Time per square root: 0.29 hours. Prototype def-par.txt line would be: snfs,165.000,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000 total time: 43.54 hours. --------- CPU info (if available) ----------``` ```Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin) ```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

## 82×10165+179

### c136

name 名前 Markus Tervooren May 21, 2010 03:07:43 UTC 2010 年 5 月 21 日 (金) 12 時 7 分 43 秒 (日本時間) `5582024561142512767472812509392087904050554763480102316149312618224951913357984782406891694608963071129378517953749086860107187141457459<136>` ```915840727120322106729336925547<30> 6094973062285701090207182788883144661565207511674279795052649393504619085642307020529609921720107865310297<106>``` ```Fri May 21 00:06:46 2010 prp30 factor: 915840727120322106729336925547 Fri May 21 00:06:46 2010 prp106 factor: 6094973062285701090207182788883144661565207511674279795052649393504619085642307020529609921720107865310297```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

## 82×10166+179

### c139

name 名前 Serge Batalov May 14, 2010 06:34:42 UTC 2010 年 5 月 14 日 (金) 15 時 34 分 42 秒 (日本時間) `8382862216250736862563773885977275555106653848833632278243977471941144213747407124958791974070237885426566795452803924434457852192442400557<139>` `4858273133930158602429763811176514329<37>` `1725481870853423888189791265548285807678612909702357091775019090850446323151936066968148563283627201333<103>` ```Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=354672199 Step 1 took 4992ms Step 2 took 2633ms ********** Factor found in step 2: 4858273133930158602429763811176514329 Found probable prime factor of 37 digits: 4858273133930158602429763811176514329 Composite cofactor has 103 digits```

### c103

name 名前 Dmitry Domanov May 14, 2010 21:52:13 UTC 2010 年 5 月 15 日 (土) 6 時 52 分 13 秒 (日本時間) `1725481870853423888189791265548285807678612909702357091775019090850446323151936066968148563283627201333<103>` ```504742353348023804017813144417421456871512645653<48> 3418539893488372730772838500428811339296289133697830561<55>``` ```Number: new13 N=1725481870853423888189791265548285807678612909702357091775019090850446323151936066968148563283627201333 ( 103 digits) Divisors found: r1=504742353348023804017813144417421456871512645653 (pp48) r2=3418539893488372730772838500428811339296289133697830561 (pp55) Version: Msieve-1.40 Total time: 6.07 hours. Scaled time: 11.28 units (timescale=1.860). Factorization parameters were as follows: name: new13 n: 1725481870853423888189791265548285807678612909702357091775019090850446323151936066968148563283627201333 skew: 4607.34 # norm 1.07e+014 c5: 75600 c4: 3720478704 c3: -2491371751871 c2: -75744265931664106 c1: 40663810221935016184 c0: 107011609308218830588320 # alpha -6.02 Y1: 116621884483 Y0: -29625173028059534443 # Murphy_E 2.65e-009 # M 1136911264888065093869747367793786726182059218130955322838623856287308103568680179816495027383892317150 type: gnfs rlim: 2300000 alim: 2300000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.6 alambda: 2.6 qintsize: 100000 Factor base limits: 2300000/2300000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved algebraic special-q in [1150000, 1850001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 246293 x 246524 Polynomial selection time: 0.57 hours. Total sieving time: 5.23 hours. Total relation processing time: 0.04 hours. Matrix solve time: 0.19 hours. Time per square root: 0.04 hours. Prototype def-par.txt line would be: gnfs,102,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000 total time: 6.07 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 KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

## 82×10167+179

### c151

name 名前 Sinkiti Sibata May 16, 2010 22:38:25 UTC 2010 年 5 月 17 日 (月) 7 時 38 分 25 秒 (日本時間) `1843286820858205156020279962995455298077897048700323023521010902865736871791960030252351561870616936639118867269359204092675103269949943627792852760333<151>` ```104286494254734496808941076756928990914570092464413<51> 17675220881006093261801519683112800571816387853884700916897589658355527775976282924182829587695153841<101>``` ```Number: 91113_167 N=1843286820858205156020279962995455298077897048700323023521010902865736871791960030252351561870616936639118867269359204092675103269949943627792852760333 ( 151 digits) SNFS difficulty: 168 digits. Divisors found: r1=104286494254734496808941076756928990914570092464413 (pp51) r2=17675220881006093261801519683112800571816387853884700916897589658355527775976282924182829587695153841 (pp101) Version: Msieve v. 1.42 Total time: 1.92 hours. Scaled time: 1.96 units (timescale=1.024). Factorization parameters were as follows: name: 91113_167 n: 1843286820858205156020279962995455298077897048700323023521010902865736871791960030252351561870616936639118867269359204092675103269949943627792852760333 m: 1000000000000000000000000000000000 deg: 5 c5: 8200 c0: 17 skew: 0.29 type: snfs lss: 1 rlim: 4600000 alim: 4600000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 4600000/4600000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved rational special-q in [2300000, 4700001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 858688 x 858914 Total sieving time: 0.00 hours. Total relation processing time: 0.09 hours. Matrix solve time: 1.70 hours. Time per square root: 0.13 hours. Prototype def-par.txt line would be: snfs,168.000,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000 total time: 1.92 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU Q6600 @ 2.40GHz stepping 0b CPU1: Intel(R) Core(TM)2 Quad CPU Q6600 @ 2.40GHz stepping 0b CPU2: Intel(R) Core(TM)2 Quad CPU Q6600 @ 2.40GHz stepping 0b CPU3: Intel(R) Core(TM)2 Quad CPU Q6600 @ 2.40GHz stepping 0b Memory: 3057976k/3145344k available (3786k kernel code, 496k absent, 86872k reserved, 2294k data, 1304k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 4788.19 BogoMIPS (lpj=2394097) Calibrating delay using timer specific routine.. 4787.76 BogoMIPS (lpj=2393881) Calibrating delay using timer specific routine.. 4787.77 BogoMIPS (lpj=2393888) Calibrating delay using timer specific routine.. 4787.77 BogoMIPS (lpj=2393889) Total of 4 processors activated (19151.51 BogoMIPS). Total time: 32 hours.```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6623118Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)
505Ignacio SantosMay 14, 2010 15:49:14 UTC 2010 年 5 月 15 日 (土) 0 時 49 分 14 秒 (日本時間)
403e6190 / 1998Ignacio SantosMay 14, 2010 15:49:14 UTC 2010 年 5 月 15 日 (土) 0 時 49 分 14 秒 (日本時間)
4511e653 / 4410Ignacio SantosMay 14, 2010 15:49:14 UTC 2010 年 5 月 15 日 (土) 0 時 49 分 14 秒 (日本時間)

## 82×10172+179

### c149

name 名前 Ignacio Santos May 14, 2010 13:47:46 UTC 2010 年 5 月 14 日 (金) 22 時 47 分 46 秒 (日本時間) `59272376134795179789116011703033010811965086828788122349848216676712513647302712962904924551420811357874374458526543534101453140831794314258964664123<149>` ```25413506161017873264712462919617928489<38> 2332317932018128730384729363991908352511826873469049648431936477642506085422964990651659948080109844437568762307<112>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3316400038 Step 1 took 21216ms Step 2 took 16380ms ********** Factor found in step 2: 25413506161017873264712462919617928489 Found probable prime factor of 38 digits: 25413506161017873264712462919617928489 Probable prime cofactor 2332317932018128730384729363991908352511826873469049648431936477642506085422964990651659948080109844437568762307 has 112 digits``` `GMP-ECM 6.2.3`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

## 82×10173+179

### c125

name 名前 ruffenach timothee July 15, 2010 20:37:34 UTC 2010 年 7 月 16 日 (金) 5 時 37 分 34 秒 (日本時間) `22728329879100601468116101594196023734229535704684217778820702744006044081677650833022312172979510695409841207560560794882869<125>` ```50918920975053459374181212509893980989478718898829<50> 446363148391063076205447019854164186142713925794503145959795168000553106761<75>``` ```Number: 91113_173/91113_173 N=22728329879100601468116101594196023734229535704684217778820702744006044081677650833022312172979510695409841207560560794882869 ( 125 digits) SNFS difficulty: 174 digits. Divisors found: r1=50918920975053459374181212509893980989478718898829 (pp50) r2=446363148391063076205447019854164186142713925794503145959795168000553106761 (pp75) Version: Msieve v. 1.44 Total time: 91.31 hours. Scaled time: 184.45 units (timescale=2.020). Factorization parameters were as follows: n: 22728329879100601468116101594196023734229535704684217778820702744006044081677650833022312172979510695409841207560560794882869 m: 10000000000000000000000000000000000 deg: 5 c5: 82000 c0: 17 skew: 0.18 type: snfs lss: 1 rlim: 5800000 alim: 5800000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 5800000/5800000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved rational special-q in [2900000, 7000001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 1115331 x 1115561 Total sieving time: 89.31 hours. Total relation processing time: 0.09 hours. Matrix solve time: 1.65 hours. Time per square root: 0.25 hours. Prototype def-par.txt line would be: snfs,174.000,5,0,0,0,0,0,0,0,0,5800000,5800000,27,27,52,52,2.4,2.4,100000 total time: 91.31 hours. --------- CPU info (if available) ---------- [ 0.075688] CPU0: Intel(R) Core(TM)2 Quad CPU Q8300 @ 2.50GHz stepping 0a [ 0.000000] Memory: 3346268k/3407488k available (4679k kernel code, 59632k reserved, 2143k data, 576k init, 2498184k highmem) [ 0.004004] Calibrating delay loop (skipped), value calculated using timer frequency.. 4987.78 BogoMIPS (lpj=9975564) [ 0.348022] Total of 4 processors activated (19950.26 BogoMIPS).```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6543118Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)
425Ignacio SantosMay 14, 2010 17:19:29 UTC 2010 年 5 月 15 日 (土) 2 時 19 分 29 秒 (日本時間)
403e62047160Ignacio SantosMay 14, 2010 17:19:29 UTC 2010 年 5 月 15 日 (土) 2 時 19 分 29 秒 (日本時間)
1887Wataru SakaiMay 26, 2010 06:43:45 UTC 2010 年 5 月 26 日 (水) 15 時 43 分 45 秒 (日本時間)
4511e645 / 3968Ignacio SantosMay 14, 2010 17:19:29 UTC 2010 年 5 月 15 日 (土) 2 時 19 分 29 秒 (日本時間)
5043e610 / 7463Rich DickersonJuly 2, 2010 02:34:58 UTC 2010 年 7 月 2 日 (金) 11 時 34 分 58 秒 (日本時間)

## 82×10175+179

### c168

name 名前 matsui August 24, 2010 10:35:49 UTC 2010 年 8 月 24 日 (火) 19 時 35 分 49 秒 (日本時間) `307628399133290299346641211076913975278043203874850700200296062846858265234319277963223492328719193590807806526668351127233345271678706186142958819456029983186498565619<168>` ```19105388602221941271673523579321154842370011<44> 16101656215331488460773714322299197368334838077062656302716058249935509235907702340561570271977662149457031821252736901712329<125>``` ```N=307628399133290299346641211076913975278043203874850700200296062846858265234319277963223492328719193590807806526668351127233345271678706186142958819456029983186498565619 ( 168 digits) SNFS difficulty: 176 digits. Divisors found: r1=19105388602221941271673523579321154842370011 (pp44) r2=16101656215331488460773714322299197368334838077062656302716058249935509235907702340561570271977662149457031821252736901712329 (pp125) Version: Msieve v. 1.47 Total time: Scaled time: 16.20 units (timescale=1.762). Factorization parameters were as follows: n: 307628399133290299346641211076913975278043203874850700200296062846858265234319277963223492328719193590807806526668351127233345271678706186142958819456029983186498565619 m: 100000000000000000000000000000000000 deg: 5 c5: 82 c0: 17 skew: 0.73 type: snfs lss: 1 rlim: 6200000 alim: 6200000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 6200000/6200000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved rational special-q in [3100000, 6600001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 1347603 x 1347831 Total sieving time: Total relation processing time: Matrix solve time: Time per square root: Prototype def-par.txt line would be: snfs,176.000,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,53,53,2.5,2.5,100000 total time:```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 568Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)
403e6120 / 2318Rich DickersonJuly 1, 2010 03:58:56 UTC 2010 年 7 月 1 日 (木) 12 時 58 分 56 秒 (日本時間)

## 82×10176+179

### c128

name 名前 Serge Batalov May 14, 2010 05:00:37 UTC 2010 年 5 月 14 日 (金) 14 時 0 分 37 秒 (日本時間) `48558038293115665677307503964845160010306699782527157746487674497605138737750184784354622146631843382655895455882546910586846019<128>` ```54256640131419202741304502872009<32> 894969503741836704554030385609832529742872307818126252850279018153577478888941433315672026654891<96>``` ```Using B1=1500000, B2=2140044280, polynomial Dickson(6), sigma=703236478 Step 1 took 3132ms Step 2 took 2012ms ********** Factor found in step 2: 54256640131419202741304502872009 Found probable prime factor of 32 digits: 54256640131419202741304502872009 Probable prime cofactor has 96 digits``` `GMP-ECM 6.2.3`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

## 82×10178+179

### c166

name 名前 Robert Backstrom February 24, 2012 19:56:05 UTC 2012 年 2 月 25 日 (土) 4 時 56 分 5 秒 (日本時間) `4300500039621760416218474388532176692859210387984334874933520614589731425261025083722339984269343810788769449481896898877898247922582830740104189891601542707452056181<166>` ```3619397358945853160234023595567988377141102039617<49> 18447676393042060708234401403057720199607607122481985657<56> 64408178787746008196434649808512362177106510197393585471041949<62>``` ```Number: n N=4300500039621760416218474388532176692859210387984334874933520614589731425261025083722339984269343810788769449481896898877898247922582830740104189891601542707452056181 ( 166 digits) SNFS difficulty: 179 digits. Divisors found: Sat Feb 25 03:04:25 2012 prp49 factor: 3619397358945853160234023595567988377141102039617 Sat Feb 25 03:04:25 2012 prp56 factor: 18447676393042060708234401403057720199607607122481985657 Sat Feb 25 03:04:25 2012 prp62 factor: 64408178787746008196434649808512362177106510197393585471041949 Sat Feb 25 03:04:25 2012 elapsed time 03:02:57 (Msieve 1.44 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.070). Factorization parameters were as follows: name: KA_91113_178 n: 4300500039621760416218474388532176692859210387984334874933520614589731425261025083722339984269343810788769449481896898877898247922582830740104189891601542707452056181 m: 100000000000000000000000000000000000 # c166, diff: 179.91 skew: 0.18 deg: 5 c5: 82000 c0: 17 type: snfs lss: 1 rlim: 15000000 alim: 15000000 lpbr: 29 lpba: 29 mfbr: 57 mfba: 57 rlambda: 2.5 alambda: 2.5 Factor base limits: 15000000/15000000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 57/57 Sieved special-q in [100000, 17200000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 9971109 hash collisions in 79542329 relations (73979572 unique) Msieve: matrix is 1222796 x 1223030 (337.1 MB) Total sieving time: 0.00 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,179,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7 CPU 930 @ 2.80GHz stepping 05 CPU1: Intel(R) Core(TM) i7 CPU 930 @ 2.80GHz stepping 05 CPU2: Intel(R) Core(TM) i7 CPU 930 @ 2.80GHz stepping 05 CPU3: Intel(R) Core(TM) i7 CPU 930 @ 2.80GHz stepping 05 CPU4: Intel(R) Core(TM) i7 CPU 930 @ 2.80GHz stepping 05 CPU5: Intel(R) Core(TM) i7 CPU 930 @ 2.80GHz stepping 05 CPU6: Intel(R) Core(TM) i7 CPU 930 @ 2.80GHz stepping 05 CPU7: Intel(R) Core(TM) i7 CPU 930 @ 2.80GHz stepping 05 Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.93 BogoMIPS (lpj=2798468) Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555) Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554) Calibrating delay using timer specific routine.. 5595.12 BogoMIPS (lpj=2797560) Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554) Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555) Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554) Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556) Total of 8 processors activated (44762.71 BogoMIPS).```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)
403e6300 / 2318Rich DickersonOctober 26, 2010 02:27:18 UTC 2010 年 10 月 26 日 (火) 11 時 27 分 18 秒 (日本時間)

## 82×10179+179

### c175

name 名前 Wataru Sakai May 17, 2010 01:14:12 UTC 2010 年 5 月 17 日 (月) 10 時 14 分 12 秒 (日本時間) `2112314872989340280273271720714879480844524094171118627860866456104937742095112386743214896868802320043008791609061006487125054450067838795341675946684142208250032135522000661<175>` ```591142271683524909650188872353477106879688489797835335309738231907573501<72> 3573276644510026393763720321446854942627652858477829989704553079718616522918705831390773229575628167161<103>``` ```Number: 91113_179 N=2112314872989340280273271720714879480844524094171118627860866456104937742095112386743214896868802320043008791609061006487125054450067838795341675946684142208250032135522000661 ( 175 digits) SNFS difficulty: 180 digits. Divisors found: r1=591142271683524909650188872353477106879688489797835335309738231907573501 r2=3573276644510026393763720321446854942627652858477829989704553079718616522918705831390773229575628167161 Version: Total time: 157.56 hours. Scaled time: 315.91 units (timescale=2.005). Factorization parameters were as follows: n: 2112314872989340280273271720714879480844524094171118627860866456104937742095112386743214896868802320043008791609061006487125054450067838795341675946684142208250032135522000661 m: 200000000000000000000000000000000000 deg: 5 c5: 25625 c0: 17 skew: 0.23 type: snfs lss: 1 rlim: 7200000 alim: 7200000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5Factor base limits: 7200000/7200000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved rational special-q in [3600000, 5300001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 1352982 x 1353230 Total sieving time: 157.56 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,180,5,0,0,0,0,0,0,0,0,7200000,7200000,28,28,53,53,2.5,2.5,100000 total time: 157.56 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 KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

## 82×10181+179

### c150

name 名前 Dmitry Domanov January 9, 2014 09:03:05 UTC 2014 年 1 月 9 日 (木) 18 時 3 分 5 秒 (日本時間) `121939318281096594120648253113278545333423927058710108907842496917383022708537728033178519585379342162191913722283475922712489268689959053414227230313<150>` ```116254978752800566370187649860907565005791781<45> 8294842735876936632698836676794302086229247964536607<52> 126451517362627926307401887758703359699221473724204139<54>``` ```N=121939318281096594120648253113278545333423927058710108907842496917383022708537728033178519585379342162191913722283475922712489268689959053414227230313 ( 150 digits) SNFS difficulty: 182 digits. Divisors found: r1=116254978752800566370187649860907565005791781 (pp45) r2=8294842735876936632698836676794302086229247964536607 (pp52) r3=126451517362627926307401887758703359699221473724204139 (pp54) Version: Msieve v. 1.50 (SVN unknown) Total time: 135.86 hours. Scaled time: 0.00 units (timescale=0.000). Factorization parameters were as follows: n: 121939318281096594120648253113278545333423927058710108907842496917383022708537728033178519585379342162191913722283475922712489268689959053414227230313 m: 1000000000000000000000000000000000000 deg: 5 c5: 820 c0: 17 skew: 0.46 # Murphy_E = 8.718e-11 type: snfs lss: 1 rlim: 7800000 alim: 7800000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 qintsize: 600000 Factor base limits: 7800000/7800000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved rational special-q in [3900000, 10500001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 1284508 x 1284733 Total sieving time: 133.66 hours. Total relation processing time: 0.22 hours. Matrix solve time: 1.53 hours. Time per square root: 0.44 hours. Prototype def-par.txt line would be: snfs,182.000,5,0,0,0,0,0,0,0,0,7800000,7800000,28,28,53,53,2.5,2.5,100000 total time: 135.86 hours. --------- CPU info (if available) ---------- [ 0.074309] CPU0: Intel(R) Xeon(R) CPU E5620 @ 2.40GHz stepping 02 [ 0.000000] Memory: 49296732k/51380224k available (5105k kernel code, 1057796k absent, 1025696k reserved, 7223k data, 1316k init) [ 0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.00 BogoMIPS (lpj=2400000) [ 0.707507] Total of 16 processors activated (76799.07 BogoMIPS).```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)
403e6597300Rich DickersonOctober 23, 2010 20:19:11 UTC 2010 年 10 月 24 日 (日) 5 時 19 分 11 秒 (日本時間)
297KTakahashiDecember 7, 2012 21:19:01 UTC 2012 年 12 月 8 日 (土) 6 時 19 分 1 秒 (日本時間)
4511e61214 / 399264Rich DickersonOctober 26, 2010 14:48:52 UTC 2010 年 10 月 26 日 (火) 23 時 48 分 52 秒 (日本時間)
300Rich DickersonJune 15, 2013 19:52:48 UTC 2013 年 6 月 16 日 (日) 4 時 52 分 48 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:06:11 UTC 2013 年 11 月 9 日 (土) 2 時 6 分 11 秒 (日本時間)
5043e6100 / 7258Rich DickersonJune 15, 2013 20:58:42 UTC 2013 年 6 月 16 日 (日) 5 時 58 分 42 秒 (日本時間)

## 82×10189+179

### c142

name 名前 Eric Jeancolas April 4, 2020 15:33:39 UTC 2020 年 4 月 5 日 (日) 0 時 33 分 39 秒 (日本時間) `7105159587556645424837951183952630223830016439011972408914355794528493823597305552169770552954088808637795703874637463973315816083760036144259<142>` ```802487741924200877470859804064348520899893857080640951972846354893479<69> 8853916659860661820054972488848706448078736939115129170149553481075162821<73>``` ```7105159587556645424837951183952630223830016439011972408914355794528493823597305552169770552954088808637795703874637463973315816083760036144259=802487741924200877470859804064348520899893857080640951972846354893479*8853916659860661820054972488848706448078736939115129170149553481075162821 Info:Square Root: Factors: 802487741924200877470859804064348520899893857080640951972846354893479 8853916659860661820054972488848706448078736939115129170149553481075162821 Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 65655.1 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 66462/43.730/51.084/56.160/0.933 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 66462/41.230/45.988/51.840/1.472 Info:Polynomial Selection (size optimized): Total time: 21822 Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 3729.76 Info:Polynomial Selection (root optimized): Rootsieve time: 3728.24 Info:Generate Factor Base: Total cpu/real time for makefb: 40.92/10.5063 Info:Generate Free Relations: Total cpu/real time for freerel: 1488.62/259.137 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 34026747 Info:Lattice Sieving: Average J: 3790.51 for 1128964 special-q, max bucket fill -bkmult 1.0,1s:1.315140 Info:Lattice Sieving: Total time: 186328s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 205.64/253.434 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 252.4s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1474.08/889.399 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 741.5000000000001s Info:Filtering - Singleton removal: Total cpu/real time for purge: 1059.12/822.509 Info:Filtering - Merging: Total cpu/real time for merge: 2692.79/2612.54 Info:Filtering - Merging: Total cpu/real time for replay: 244.29/254.892 Info:Linear Algebra: Total cpu/real time for bwc: 315108/163292 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: WCT time 109030.0, iteration CPU time 1.41, COMM 0.03, cpu-wait 0.16, comm-wait 0.0 (68000 iterations) Info:Linear Algebra: Lingen CPU time 13003.35, WCT time 6192.71 Info:Linear Algebra: Mksol: WCT time 46460.42, iteration CPU time 1.19, COMM 0.03, cpu-wait 0.14, comm-wait 0.0 (34000 iterations) Info:Quadratic Characters: Total cpu/real time for characters: 266.17/143.673 Info:Square Root: Total cpu/real time for sqrt: 16604.9/4993.25 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 884771/366875 Info:root: Cleaning up computation data in /tmp/cado.xz8x6c57 802487741924200877470859804064348520899893857080640951972846354893479 8853916659860661820054972488848706448078736939115129170149553481075162821``` `cado-nfs-3.0.0` ```Linux Ubuntu 18.04 LTS GenuineIntel Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz [Family 6 Model 63 Stepping 2] (12 processors)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)
403e62446300Rich DickersonOctober 23, 2010 22:27:02 UTC 2010 年 10 月 24 日 (日) 7 時 27 分 2 秒 (日本時間)
346KTakahashiDecember 4, 2012 19:17:06 UTC 2012 年 12 月 5 日 (水) 4 時 17 分 6 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:11 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 11 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 08:05:50 UTC 2014 年 2 月 17 日 (月) 17 時 5 分 50 秒 (日本時間)
4511e61050 / 393450Rich DickersonOctober 26, 2010 03:40:35 UTC 2010 年 10 月 26 日 (火) 12 時 40 分 35 秒 (日本時間)
1000Dmitry DomanovFebruary 17, 2014 08:05:50 UTC 2014 年 2 月 17 日 (月) 17 時 5 分 50 秒 (日本時間)

## 82×10190+179

### c169

name 名前 Edwin Hall December 13, 2020 03:16:07 UTC 2020 年 12 月 13 日 (日) 12 時 16 分 7 秒 (日本時間) `4492815399273915019229362973854778624058003247226212483599102291249513357227982831502528431903635638508785183878578462703007807461564326678659179714109610241620247252793<169>` ```446300759396316071762871655254458396643523342069214976471190064510497339<72> 10066788605403839126942816595675078659638774241431290624185335000877292402527132385017782925973787<98>``` ```Factors: 10066788605403839126942816595675078659638774241431290624185335000877292402527132385017782925973787 446300759396316071762871655254458396643523342069214976471190064510497339 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 198.62/146.795 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 146.7s Info:Filtering - Merging: Total cpu/real time for merge: 433.96/36.4532 Info:Filtering - Merging: Total cpu/real time for replay: 91.84/77.1356 Info:Quadratic Characters: Total cpu/real time for characters: 132.64/25.2449 Info:Square Root: Total cpu/real time for sqrt: 3424.92/227.817 Info:Filtering - Singleton removal: Total cpu/real time for purge: 380.81/121.395 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 55087354 Info:Lattice Sieving: Average J: 3791.22 for 521494 special-q, max bucket fill -bkmult 1.0,1s:1.242940 Info:Lattice Sieving: Total time: 248395s Info:Generate Free Relations: Total cpu/real time for freerel: 897.56/41.438 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1039.62/262.831 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 225.4s Info:Linear Algebra: Total cpu/real time for bwc: 78875/7679.06 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 49426.13, WCT time 5024.93, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (62000 iterations) Info:Linear Algebra: Lingen CPU time 2563.09, WCT time 110.39 Info:Linear Algebra: Mksol: CPU time 25641.61, WCT time 2373.32, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (31000 iterations) Info:Generate Factor Base: Total cpu/real time for makefb: 61.71/6.88699 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.44903e+06/15278.2 Info:root: Cleaning up computation data in /tmp/cado.nepoxt8f 10066788605403839126942816595675078659638774241431290624185335000877292402527132385017782925973787 446300759396316071762871655254458396643523342069214976471190064510497339``` `CADO-NFS`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)
403e62100300Rich DickersonOctober 24, 2010 00:34:23 UTC 2010 年 10 月 24 日 (日) 9 時 34 分 23 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:12 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 12 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 08:06:10 UTC 2014 年 2 月 17 日 (月) 17 時 6 分 10 秒 (日本時間)
4511e65200200Rich DickersonOctober 24, 2010 13:57:48 UTC 2010 年 10 月 24 日 (日) 22 時 57 分 48 秒 (日本時間)
1000Dmitry DomanovFebruary 17, 2014 08:06:10 UTC 2014 年 2 月 17 日 (月) 17 時 6 分 10 秒 (日本時間)
4000Robert BalfourApril 17, 2020 21:47:50 UTC 2020 年 4 月 18 日 (土) 6 時 47 分 50 秒 (日本時間)

## 82×10192+179

### c181

name 名前 Robert Backstrom March 7, 2012 11:09:16 UTC 2012 年 3 月 7 日 (水) 20 時 9 分 16 秒 (日本時間) `6548669602823805978938101988155279737323538707738642243948836640524454856946471482524507533614033899554274919109912756224589024927967444425026707643613594667513309182692236913187757<181>` ```1425041520636312839937743897564731282492848736844081912705843179323299733204792223<82> 4595423717829413743908880818394848222563884065085441043271341973594814340928775435686140845032574259<100>``` ```Number: n N=6548669602823805978938101988155279737323538707738642243948836640524454856946471482524507533614033899554274919109912756224589024927967444425026707643613594667513309182692236913187757 ( 181 digits) SNFS difficulty: 193 digits. Divisors found: Wed Mar 7 22:05:22 2012 prp82 factor: 1425041520636312839937743897564731282492848736844081912705843179323299733204792223 Wed Mar 7 22:05:22 2012 prp100 factor: 4595423717829413743908880818394848222563884065085441043271341973594814340928775435686140845032574259 Wed Mar 7 22:05:22 2012 elapsed time 05:24:04 (Msieve 1.44 - dependency 7) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=1.655). Factorization parameters were as follows: name: KA_91113_192 n: 6548669602823805978938101988155279737323538707738642243948836640524454856946471482524507533614033899554274919109912756224589024927967444425026707643613594667513309182692236913187757 m: 100000000000000000000000000000000000000 # c181, diff: 193.91 skew: 0.29 deg: 5 c5: 8200 c0: 17 type: snfs lss: 1 rlim: 15000000 alim: 15000000 lpbr: 29 lpba: 29 mfbr: 57 mfba: 57 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 15000000/15000000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 57/57 Sieved special-q in [100000, 17200000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 8884226 hash collisions in 78590462 relations (72014699 unique) Msieve: matrix is 1395896 x 1396121 (394.5 MB) Total sieving time: 0.00 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,193,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7 CPU 930 @ 2.80GHz stepping 05 CPU1: Intel(R) Core(TM) i7 CPU 930 @ 2.80GHz stepping 05 CPU2: Intel(R) Core(TM) i7 CPU 930 @ 2.80GHz stepping 05 CPU3: Intel(R) Core(TM) i7 CPU 930 @ 2.80GHz stepping 05 CPU4: Intel(R) Core(TM) i7 CPU 930 @ 2.80GHz stepping 05 CPU5: Intel(R) Core(TM) i7 CPU 930 @ 2.80GHz stepping 05 CPU6: Intel(R) Core(TM) i7 CPU 930 @ 2.80GHz stepping 05 CPU7: Intel(R) Core(TM) i7 CPU 930 @ 2.80GHz stepping 05 Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.93 BogoMIPS (lpj=2798468) Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555) Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554) Calibrating delay using timer specific routine.. 5595.12 BogoMIPS (lpj=2797560) Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554) Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555) Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554) Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556) Total of 8 processors activated (44762.71 BogoMIPS).```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)
403e6300 / 2208Rich DickersonOctober 24, 2010 03:15:37 UTC 2010 年 10 月 24 日 (日) 12 時 15 分 37 秒 (日本時間)
4511e632 / 4409Rich DickersonOctober 26, 2010 04:14:39 UTC 2010 年 10 月 26 日 (火) 13 時 14 分 39 秒 (日本時間)

## 82×10193+179

### c173

name 名前 Bob Backstrom March 7, 2021 09:07:08 UTC 2021 年 3 月 7 日 (日) 18 時 7 分 8 秒 (日本時間) `62097105339983387329133446722827554070464426753542360799817300596148227443276375564764580346695440930747232727056242475613165265968374391683015430094705704471374733731337909<173>` ```493212021269064196245264336596027116931795207583933770652361445059697<69> 125903470844453061580754965818363960655861984620526539516558835180549965047802531775965192416841025060997<105>``` ```Number: n N=62097105339983387329133446722827554070464426753542360799817300596148227443276375564764580346695440930747232727056242475613165265968374391683015430094705704471374733731337909 ( 173 digits) SNFS difficulty: 194 digits. Divisors found: Sun Mar 7 20:00:48 2021 p69 factor: 493212021269064196245264336596027116931795207583933770652361445059697 Sun Mar 7 20:00:48 2021 p105 factor: 125903470844453061580754965818363960655861984620526539516558835180549965047802531775965192416841025060997 Sun Mar 7 20:00:48 2021 elapsed time 01:11:08 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.316). Factorization parameters were as follows: # # N = 82x10^193+17 = 91(192)3 # n: 62097105339983387329133446722827554070464426753542360799817300596148227443276375564764580346695440930747232727056242475613165265968374391683015430094705704471374733731337909 m: 100000000000000000000000000000000000000 deg: 5 c5: 82000 c0: 17 skew: 0.18 # Murphy_E = 2.269e-11 type: snfs lss: 1 rlim: 12400000 alim: 12400000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 12400000/12400000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved special-q in [100000, 19023223) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3290432 hash collisions in 26993401 relations (25194459 unique) Msieve: matrix is 1648430 x 1648656 (575.5 MB) Sieving start time : 2021/03/07 14:10:25 Sieving end time : 2021/03/07 18:48:46 Total sieving time: 4hrs 38min 21secs. Total relation processing time: 0hrs 56min 56sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 2min 57sec. Prototype def-par.txt line would be: snfs,194,5,0,0,0,0,0,0,0,0,12400000,12400000,28,28,55,55,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.116745] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16241916K/16727236K available (14339K kernel code, 2400K rwdata, 4964K rodata, 2732K init, 4968K bss, 485320K reserved, 0K cma-reserved) [ 0.152613] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.17 BogoMIPS (lpj=12798352) [ 0.150217] smpboot: Total of 16 processors activated (102386.81 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)
403e61900100Rich DickersonOctober 24, 2010 14:56:54 UTC 2010 年 10 月 24 日 (日) 23 時 56 分 54 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:13 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 13 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 08:06:25 UTC 2014 年 2 月 17 日 (月) 17 時 6 分 25 秒 (日本時間)
4511e61200 / 4055200Rich DickersonOctober 24, 2010 13:58:00 UTC 2010 年 10 月 24 日 (日) 22 時 58 分 0 秒 (日本時間)
1000Dmitry DomanovFebruary 17, 2014 08:06:25 UTC 2014 年 2 月 17 日 (月) 17 時 6 分 25 秒 (日本時間)

## 82×10194+179

### c177

name 名前 Edwin Hall January 4, 2021 17:47:15 UTC 2021 年 1 月 5 日 (火) 2 時 47 分 15 秒 (日本時間) `309224750100368092261579539438709545125562054824081603762647217378016695297006819212742163748150645236721177985332019589444063650459802297961811356033076338792881840333502569143<177>` ```41023681651228456866193007085386497237858464028802120877897797<62> 7537713283008287400350226137629349121972406807738209154203085689088641443090790252798162774875664066153661452963019<115>``` ```p62 factor: 41023681651228456866193007085386497237858464028802120877897797 p115 factor: 7537713283008287400350226137629349121972406807738209154203085689088641443090790252798162774875664066153661452963019 Msieve v. 1.54 (SVN 1034) random seeds: 4d0b19af 12b836d5 factoring 309224750100368092261579539438709545125562054824081603762647217378016695297006819212742163748150645236721177985332019589444063650459802297961811356033076338792881840333502569143 (177 digits) searching for 15-digit factors commencing number field sieve (177-digit input) R0: -1000000000000000000000000000000000000000 R1: 1 A0: 85 A1: 0 A2: 0 A3: 0 A4: 0 A5: 41 skew 1.00, size 1.237e-13, alpha -0.277, combined = 2.240e-11 rroots = 1 commencing relation filtering estimated available RAM is 15892.2 MB commencing duplicate removal, pass 1 found 645009 hash collisions in 37658721 relations added 726706 free relations commencing duplicate removal, pass 2 found 0 duplicates and 38385427 unique relations memory use: 159.3 MB reading ideals above 720000 commencing singleton removal, initial pass memory use: 753.0 MB reading all ideals from disk memory use: 1252.8 MB keeping 40433338 ideals with weight <= 200, target excess is 204316 commencing in-memory singleton removal begin with 38385427 relations and 40433338 unique ideals reduce to 15274463 relations and 13461771 ideals in 14 passes max relations containing the same ideal: 109 removing 2068661 relations and 1668661 ideals in 400000 cliques commencing in-memory singleton removal begin with 13205802 relations and 13461771 unique ideals reduce to 12974087 relations and 11553387 ideals in 8 passes max relations containing the same ideal: 99 removing 1650800 relations and 1250800 ideals in 400000 cliques commencing in-memory singleton removal begin with 11323287 relations and 11553387 unique ideals reduce to 11148561 relations and 10122378 ideals in 8 passes max relations containing the same ideal: 91 removing 1548764 relations and 1148764 ideals in 400000 cliques commencing in-memory singleton removal begin with 9599797 relations and 10122378 unique ideals reduce to 9418446 relations and 8786188 ideals in 8 passes max relations containing the same ideal: 80 removing 1509581 relations and 1114330 ideals in 395251 cliques commencing in-memory singleton removal begin with 7908865 relations and 8786188 unique ideals reduce to 7695308 relations and 7449903 ideals in 9 passes max relations containing the same ideal: 71 removing 70443 relations and 62045 ideals in 8398 cliques commencing in-memory singleton removal begin with 7624865 relations and 7449903 unique ideals reduce to 7624370 relations and 7387363 ideals in 4 passes max relations containing the same ideal: 70 relations with 0 large ideals: 4332 relations with 1 large ideals: 12493 relations with 2 large ideals: 99235 relations with 3 large ideals: 438704 relations with 4 large ideals: 1165222 relations with 5 large ideals: 1927367 relations with 6 large ideals: 2069530 relations with 7+ large ideals: 1907487 commencing 2-way merge reduce to 4705376 relation sets and 4468369 unique ideals commencing full merge memory use: 515.9 MB found 2187660 cycles, need 2162569 weight of 2162569 cycles is about 194824876 (90.09/cycle) distribution of cycle lengths: 1 relations: 179986 2 relations: 178338 3 relations: 187877 4 relations: 185025 5 relations: 181895 6 relations: 169560 7 relations: 159495 8 relations: 145210 9 relations: 129700 10+ relations: 645483 heaviest cycle: 26 relations commencing cycle optimization start with 16007969 relations pruned 543919 relations memory use: 474.1 MB distribution of cycle lengths: 1 relations: 179986 2 relations: 182707 3 relations: 194960 4 relations: 191497 5 relations: 188774 6 relations: 175144 7 relations: 164628 8 relations: 148681 9 relations: 132577 10+ relations: 603615 heaviest cycle: 25 relations RelProcTime: 966 elapsed time 00:16:07 Msieve v. 1.54 (SVN 1034) random seeds: e51c18b7 4f9850ba factoring 309224750100368092261579539438709545125562054824081603762647217378016695297006819212742163748150645236721177985332019589444063650459802297961811356033076338792881840333502569143 (177 digits) searching for 15-digit factors commencing number field sieve (177-digit input) R0: -1000000000000000000000000000000000000000 R1: 1 A0: 85 A1: 0 A2: 0 A3: 0 A4: 0 A5: 41 skew 1.00, size 1.237e-13, alpha -0.277, combined = 2.240e-11 rroots = 1 commencing linear algebra read 2162569 cycles cycles contain 7457868 unique relations read 7457868 relations using 20 quadratic characters above 4294917295 building initial matrix memory use: 935.7 MB read 2162569 cycles matrix is 2162390 x 2162569 (794.3 MB) with weight 238365841 (110.22/col) sparse part has weight 184425108 (85.28/col) filtering completed in 2 passes matrix is 2161648 x 2161827 (794.2 MB) with weight 238334020 (110.25/col) sparse part has weight 184412733 (85.30/col) matrix starts at (0, 0) matrix is 2161648 x 2161827 (794.2 MB) with weight 238334020 (110.25/col) sparse part has weight 184412733 (85.30/col) saving the first 48 matrix rows for later matrix includes 64 packed rows matrix is 2161600 x 2161827 (759.0 MB) with weight 195295201 (90.34/col) sparse part has weight 177339355 (82.03/col) using block size 8192 and superblock size 786432 for processor cache size 8192 kB commencing Lanczos iteration (8 threads) memory use: 718.1 MB linear algebra at 0.1%, ETA 1h58m checkpointing every 1050000 dimensions lanczos halted after 34186 iterations (dim = 2161600) recovered 36 nontrivial dependencies BLanczosTime: 7749 elapsed time 02:09:10 Msieve v. 1.54 (SVN 1034) random seeds: 25b9f9e3 fb62daba factoring 309224750100368092261579539438709545125562054824081603762647217378016695297006819212742163748150645236721177985332019589444063650459802297961811356033076338792881840333502569143 (177 digits) searching for 15-digit factors commencing number field sieve (177-digit input) R0: -1000000000000000000000000000000000000000 R1: 1 A0: 85 A1: 0 A2: 0 A3: 0 A4: 0 A5: 41 skew 1.00, size 1.237e-13, alpha -0.277, combined = 2.240e-11 rroots = 1 commencing square root phase reading relations for dependency 1 read 1081453 cycles cycles contain 3729384 unique relations read 3729384 relations multiplying 3729384 relations multiply complete, coefficients have about 103.21 million bits initial square root is modulo 25616141 GCD is 1, no factor found reading relations for dependency 2 read 1079982 cycles cycles contain 3725062 unique relations read 3725062 relations multiplying 3725062 relations multiply complete, coefficients have about 103.10 million bits initial square root is modulo 25123561 sqrtTime: 420 p62 factor: 41023681651228456866193007085386497237858464028802120877897797 p115 factor: 7537713283008287400350226137629349121972406807738209154203085689088641443090790252798162774875664066153661452963019 elapsed time 00:07:01``` `CADO-NFS/Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)
403e62100300Rich DickersonOctober 24, 2010 19:15:25 UTC 2010 年 10 月 25 日 (月) 4 時 15 分 25 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:14 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 14 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 08:06:42 UTC 2014 年 2 月 17 日 (月) 17 時 6 分 42 秒 (日本時間)
4511e61300 / 4011300Rich DickersonOctober 25, 2010 17:51:33 UTC 2010 年 10 月 26 日 (火) 2 時 51 分 33 秒 (日本時間)
1000Dmitry DomanovFebruary 17, 2014 08:06:42 UTC 2014 年 2 月 17 日 (月) 17 時 6 分 42 秒 (日本時間)

## 82×10195+179

### c176

name 名前 Bob Backstrom March 4, 2021 07:14:29 UTC 2021 年 3 月 4 日 (木) 16 時 14 分 29 秒 (日本時間) `94724409765444355721868493518017738405442091426316534277196813704661103849152822699912675829231848788073916128593352894334949937314600764127805998201484406046085699424461001537<176>` ```12055294435909984942126023498587748200844299830511820573753885790324663<71> 7857494503268360366766627782641513760052349757301897361413524389348518837232835486399447112373759892147399<106>``` ```Number: n N=94724409765444355721868493518017738405442091426316534277196813704661103849152822699912675829231848788073916128593352894334949937314600764127805998201484406046085699424461001537 ( 176 digits) SNFS difficulty: 196 digits. Divisors found: Thu Mar 4 18:10:22 2021 p71 factor: 12055294435909984942126023498587748200844299830511820573753885790324663 Thu Mar 4 18:10:22 2021 p106 factor: 7857494503268360366766627782641513760052349757301897361413524389348518837232835486399447112373759892147399 Thu Mar 4 18:10:22 2021 elapsed time 01:15:57 (Msieve 1.54 - dependency 4) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.325). Factorization parameters were as follows: # # N = 82x10^195+17 = 91(194)3 # n: 94724409765444355721868493518017738405442091426316534277196813704661103849152822699912675829231848788073916128593352894334949937314600764127805998201484406046085699424461001537 m: 1000000000000000000000000000000000000000 deg: 5 c5: 82 c0: 17 skew: 0.73 # Murphy_E = 2.396e-11 type: snfs lss: 1 rlim: 13400000 alim: 13400000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 13400000/13400000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved special-q in [100000, 19500000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3435918 hash collisions in 28132139 relations (26265493 unique) Msieve: matrix is 1630256 x 1630481 (568.9 MB) Sieving start time : 2021/03/04 12:05:13 Sieving end time : 2021/03/04 16:53:44 Total sieving time: 4hrs 48min 31secs. Total relation processing time: 0hrs 51min 49sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 8min 38sec. Prototype def-par.txt line would be: snfs,196,5,0,0,0,0,0,0,0,0,13400000,13400000,28,28,55,55,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.116378] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16241916K/16727236K available (14339K kernel code, 2400K rwdata, 4964K rodata, 2732K init, 4968K bss, 485320K reserved, 0K cma-reserved) [ 0.154161] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.20 BogoMIPS (lpj=12798400) [ 0.152017] smpboot: Total of 16 processors activated (102387.20 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)
403e62100300Rich DickersonOctober 24, 2010 20:36:28 UTC 2010 年 10 月 25 日 (月) 5 時 36 分 28 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:15 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 15 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 08:07:01 UTC 2014 年 2 月 17 日 (月) 17 時 7 分 1 秒 (日本時間)
4511e61300 / 4011300Rich DickersonOctober 25, 2010 17:48:50 UTC 2010 年 10 月 26 日 (火) 2 時 48 分 50 秒 (日本時間)
1000Dmitry DomanovFebruary 17, 2014 08:07:01 UTC 2014 年 2 月 17 日 (月) 17 時 7 分 1 秒 (日本時間)

## 82×10196+179

### c182

name 名前 Bob Backstrom March 1, 2021 22:09:56 UTC 2021 年 3 月 2 日 (火) 7 時 9 分 56 秒 (日本時間) `11239766411216197512347106754331822719949119788522139734333739417284228995447396497014657809394155926429213456071635019377145027035921165475736195593952464559768232423023338613616549<182>` ```252730206611290093045599579497216589513506064643065298480911039941479735998772158118493<87> 44473379584987404187799726783143665053844456635642984081804539134235750395114055307175155221993<95>``` ```Number: n N=11239766411216197512347106754331822719949119788522139734333739417284228995447396497014657809394155926429213456071635019377145027035921165475736195593952464559768232423023338613616549 ( 182 digits) SNFS difficulty: 197 digits. Divisors found: Tue Mar 2 09:04:06 2021 p87 factor: 252730206611290093045599579497216589513506064643065298480911039941479735998772158118493 Tue Mar 2 09:04:06 2021 p95 factor: 44473379584987404187799726783143665053844456635642984081804539134235750395114055307175155221993 Tue Mar 2 09:04:06 2021 elapsed time 01:15:18 (Msieve 1.54 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.347). Factorization parameters were as follows: # # N = 82x10^196+17 = 91(195)3 # n: 11239766411216197512347106754331822719949119788522139734333739417284228995447396497014657809394155926429213456071635019377145027035921165475736195593952464559768232423023338613616549 m: 1000000000000000000000000000000000000000 deg: 5 c5: 820 c0: 17 skew: 0.46 # Murphy_E = 2.113e-11 type: snfs lss: 1 rlim: 13900000 alim: 13900000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 13900000/13900000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved special-q in [100000, 19750000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3357588 hash collisions in 27427370 relations (25589190 unique) Msieve: matrix is 1735926 x 1736151 (608.8 MB) Sieving start time : 2021/03/02 02:26:08 Sieving end time : 2021/03/02 07:45:47 Total sieving time: 5hrs 19min 39secs. Total relation processing time: 0hrs 59min 47sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 7min 42sec. Prototype def-par.txt line would be: snfs,197,5,0,0,0,0,0,0,0,0,13900000,13900000,28,28,55,55,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.116873] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16241916K/16727236K available (14339K kernel code, 2400K rwdata, 4964K rodata, 2732K init, 4968K bss, 485320K reserved, 0K cma-reserved) [ 0.153556] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.16 BogoMIPS (lpj=12798332) [ 0.152039] smpboot: Total of 16 processors activated (102386.65 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)
403e62100300Rich DickersonOctober 25, 2010 00:18:41 UTC 2010 年 10 月 25 日 (月) 9 時 18 分 41 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:16 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 16 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 08:07:15 UTC 2014 年 2 月 17 日 (月) 17 時 7 分 15 秒 (日本時間)
4511e6150 / 4011Rich DickersonOctober 26, 2010 13:10:39 UTC 2010 年 10 月 26 日 (火) 22 時 10 分 39 秒 (日本時間)

## 82×10198+179

### c152

name 名前 Eric Jeancolas July 14, 2021 05:54:10 UTC 2021 年 7 月 14 日 (水) 14 時 54 分 10 秒 (日本時間) `37146406853764699489750044872243532010369987716235326410722800188908550115313219606998618014054638905980538478081822674912454036384146039833167308588341<152>` ```738783617611967898711782554365501233268689880199856910569702406041863<69> 50280496167248724878116790005527426208071434759115494023388007396648621389474043107<83>``` ```37146406853764699489750044872243532010369987716235326410722800188908550115313219606998618014054638905980538478081822674912454036384146039833167308588341=738783617611967898711782554365501233268689880199856910569702406041863*50280496167248724878116790005527426208071434759115494023388007396648621389474043107 cado polynomial n: 37146406853764699489750044872243532010369987716235326410722800188908550115313219606998618014054638905980538478081822674912454036384146039833167308588341 skew: 0.77 type: snfs c0: 17 c6: 82 Y0: 1000000000000000000000000000000000 Y1: -1 # f(x) = 82*x^6+17 # g(x) = -x+1000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 15000000 tasks.lim1 = 15000000 tasks.lpb0 = 28 tasks.lpb1 = 28 tasks.sieve.mfb0 = 55 tasks.sieve.mfb1 = 55 tasks.sieve.lambda0 = 2.5 tasks.sieve.lambda1 = 2.5 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 738783617611967898711782554365501233268689880199856910569702406041863 50280496167248724878116790005527426208071434759115494023388007396648621389474043107 Info:Square Root: Total cpu/real time for sqrt: 784.65/236.136 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 28837033 Info:Lattice Sieving: Average J: 1893.21 for 3795639 special-q, max bucket fill -bkmult 1.0,1s:1.173810 Info:Lattice Sieving: Total time: 988436s Info:Generate Factor Base: Total cpu/real time for makefb: 9.74/3.84764 Info:Generate Free Relations: Total cpu/real time for freerel: 182.75/47.066 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 123.05/147.2 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 146.20000000000005s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 552.27/533.414 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 430.79999999999995s Info:Filtering - Merging: Merged matrix has 2689816 rows and total weight 457516562 (170.1 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 745.07/206.088 Info:Filtering - Merging: Total cpu/real time for replay: 106.27/92.7573 Info:Linear Algebra: Total cpu/real time for bwc: 126760/32453.4 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 81354.39, WCT time 20755.87, iteration CPU time 0.23, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (84480 iterations) Info:Linear Algebra: Lingen CPU time 585.1, WCT time 148.4 Info:Linear Algebra: Mksol: CPU time 43836.27, WCT time 11196.21, iteration CPU time 0.25, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (42496 iterations) Info:Quadratic Characters: Total cpu/real time for characters: 92.53/41.2083 Info:Square Root: Total cpu/real time for sqrt: 784.65/236.136 Info:Filtering - Singleton removal: Total cpu/real time for purge: 438.39/487.886 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.04298e+06/104421 Info:root: Cleaning up computation data in /tmp/cado.jni7tefx 738783617611967898711782554365501233268689880199856910569702406041863 50280496167248724878116790005527426208071434759115494023388007396648621389474043107``` `cado-nfs-3.0.0` ```4 x Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)
403e62100300Rich DickersonOctober 25, 2010 00:18:28 UTC 2010 年 10 月 25 日 (月) 9 時 18 分 28 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:17 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 17 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 08:07:28 UTC 2014 年 2 月 17 日 (月) 17 時 7 分 28 秒 (日本時間)
4511e61212 / 4011212Rich DickersonOctober 26, 2010 13:07:40 UTC 2010 年 10 月 26 日 (火) 22 時 7 分 40 秒 (日本時間)
1000Dmitry DomanovFebruary 17, 2014 08:07:28 UTC 2014 年 2 月 17 日 (月) 17 時 7 分 28 秒 (日本時間)

## 82×10199+179

### c179

name 名前 Rich Dickerson October 26, 2010 01:21:49 UTC 2010 年 10 月 26 日 (火) 10 時 21 分 49 秒 (日本時間) `21769421411378083733783896654566984566235704548798609775907810343311747254989509902748935754551814161994075374765741443744678584064674209649100793754476909456721369737141126761919<179>` ```9905816859120072358555496458241347<34> 2197640206858402195187406419975670663417643118623478333671799258823606881720470930648315664336568856940862362210105490989904186027253070503710677<145>``` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4056647778 Step 1 took 141851ms Step 2 took 65214ms ********** Factor found in step 2: 9905816859120072358555496458241347 Found probable prime factor of 34 digits: 9905816859120072358555496458241347 Probable prime cofactor 2197640206858402195187406419975670663417643118623478333671799258823606881720470930648315664336568856940862362210105490989904186027253070503710677 has 145 digits``` `GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]` `PPC G5, 2.5 GHz, Mac OS X`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)
403e6300 / 2318Rich DickersonOctober 25, 2010 23:22:31 UTC 2010 年 10 月 26 日 (火) 8 時 22 分 31 秒 (日本時間)

## 82×10200+179

### c174

name 名前 Rich Dickerson October 25, 2010 21:27:17 UTC 2010 年 10 月 26 日 (火) 6 時 27 分 17 秒 (日本時間) `740187767144944693802855664062043425910233313968541780969222240605145537251671176423734331172929578225014291442689525502192944963957893762504314224846689390651808571323015327<174>` `434408623177171774106069137408921<33>` `1703897500310582349508134188522862477330067908209795821401509648398843937661452821697196807571648429741951087010246706903465973994525476055287<142>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=231680584 Step 1 took 40639ms Step 2 took 21584ms ********** Factor found in step 2: 434408623177171774106069137408921 Found probable prime factor of 33 digits: 434408623177171774106069137408921 Composite cofactor 1703897500310582349508134188522862477330067908209795821401509648398843937661452821697196807571648429741951087010246706903465973994525476055287 has 142 digits``` `GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]` `PPC G5, 2.5 GHz, Mac OS X`

### c142

name 名前 Eric Jeancolas March 23, 2020 06:13:29 UTC 2020 年 3 月 23 日 (月) 15 時 13 分 29 秒 (日本時間) `1703897500310582349508134188522862477330067908209795821401509648398843937661452821697196807571648429741951087010246706903465973994525476055287<142>` ```818219468205738117771620786219280367848419253604210061455598990761<66> 2082445562004330015794122248157223283368910742903749496881828613427881086367<76>``` ```1703897500310582349508134188522862477330067908209795821401509648398843937661452821697196807571648429741951087010246706903465973994525476055287=818219468205738117771620786219280367848419253604210061455598990761*2082445562004330015794122248157223283368910742903749496881828613427881086367 Info:Square Root: Factors: 2082445562004330015794122248157223283368910742903749496881828613427881086367 818219468205738117771620786219280367848419253604210061455598990761 Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 65655.1 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 66686/41.440/50.863/57.500/0.945 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 66686/41.440/45.714/51.690/1.416 Info:Polynomial Selection (size optimized): Total time: 59971.6 Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 11675 Info:Polynomial Selection (root optimized): Rootsieve time: 11672 Info:Generate Factor Base: Total cpu/real time for makefb: 16.37/2.34923 Info:Generate Free Relations: Total cpu/real time for freerel: 1059.58/107.749 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 33898852 Info:Lattice Sieving: Average J: 3839.56 for 1028153 special-q, max bucket fill -bkmult 1.0,1s:1.112590 Info:Lattice Sieving: Total time: 1.26948e+06s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 224.09/527.748 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 525.3s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1645.19/1587.28 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 1402.1000000000001s Info:Filtering - Singleton removal: Total cpu/real time for purge: 1193.29/1542.05 Info:Filtering - Merging: Total cpu/real time for merge: 1301.5/1168.35 Info:Filtering - Merging: Total cpu/real time for replay: 79/61.1312 Info:Linear Algebra: Total cpu/real time for bwc: 151420/32360.9 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: WCT time 19821.34, iteration CPU time 0.24, COMM 0.01, cpu-wait 0.07, comm-wait 0.0 (64000 iterations) Info:Linear Algebra: Lingen CPU time 726.3, WCT time 159.64 Info:Linear Algebra: Mksol: WCT time 12007.62, iteration CPU time 0.3, COMM 0.01, cpu-wait 0.06, comm-wait 0.0 (32000 iterations) Info:Quadratic Characters: Total cpu/real time for characters: 138.83/35.6071 Info:Square Root: Total cpu/real time for sqrt: 12038.7/1594.04 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.51883e+06/255680 Info:root: Cleaning up computation data in /tmp/cado.ibr4aa2d 2082445562004330015794122248157223283368910742903749496881828613427881086367 818219468205738117771620786219280367848419253604210061455598990761``` `cado-nfs-3.0.0` ```Linux Ubuntu 18.04 LTS GenuineIntel Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz [Family 6 Model 63 Stepping 2] (12 processors)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)
403e62508300Rich DickersonOctober 25, 2010 21:24:30 UTC 2010 年 10 月 26 日 (火) 6 時 24 分 30 秒 (日本時間)
408KTakahashiDecember 3, 2012 19:16:32 UTC 2012 年 12 月 4 日 (火) 4 時 16 分 32 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:17 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 17 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 08:07:47 UTC 2014 年 2 月 17 日 (月) 17 時 7 分 47 秒 (日本時間)
4511e61032 / 286832Rich DickersonOctober 26, 2010 15:28:24 UTC 2010 年 10 月 27 日 (水) 0 時 28 分 24 秒 (日本時間)
1000Dmitry DomanovFebruary 17, 2014 08:07:47 UTC 2014 年 2 月 17 日 (月) 17 時 7 分 47 秒 (日本時間)
5043e6300 / 7226Dmitry DomanovSeptember 3, 2014 12:06:05 UTC 2014 年 9 月 3 日 (水) 21 時 6 分 5 秒 (日本時間)

## 82×10202+179

### c156

name 名前 ebina January 14, 2023 04:20:21 UTC 2023 年 1 月 14 日 (土) 13 時 20 分 21 秒 (日本時間) `114962298827641535160948603513622447484652893331026250838749783892918010469519027624858609677296531810450117500479874117628062241081105247617038279481383607<156>` ```1594190401908866193547132219149954929454433444967518992781043453<64> 72113280000925192412013016813564056226061011905400466083232429480381503621864363279038286019<92>``` ```Number: 91113_202 N = 114962298827641535160948603513622447484652893331026250838749783892918010469519027624858609677296531810450117500479874117628062241081105247617038279481383607 (156 digits) SNFS difficulty: 204 digits. Divisors found: r1=1594190401908866193547132219149954929454433444967518992781043453 (pp64) r2=72113280000925192412013016813564056226061011905400466083232429480381503621864363279038286019 (pp92) Version: Msieve v. 1.53 (SVN unknown) Total time: 68.18 hours. Factorization parameters were as follows: n: 114962298827641535160948603513622447484652893331026250838749783892918010469519027624858609677296531810450117500479874117628062241081105247617038279481383607 m: 10000000000000000000000000000000000000000 deg: 5 c5: 8200 c0: 17 skew: 0.29 # Murphy_E = 9.353e-12 type: snfs lss: 1 rlim: 17500000 alim: 17500000 lpbr: 29 lpba: 29 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 17500000/17500000 Large primes per side: 3 Large prime bits: 29/29 Sieved rational special-q in [0, 0) Total raw relations: 39112187 Relations: 6093754 relations Pruned matrix : 3631154 x 3631385 Total sieving time: 61.72 hours. Total relation processing time: 0.27 hours. Matrix solve time: 5.93 hours. time per square root: 0.27 hours. Prototype def-par.txt line would be: snfs,204,5,0,0,0,0,0,0,0,0,17500000,17500000,29,29,56,56,2.6,2.6,100000 total time: 68.18 hours. Intel64 Family 6 Model 60 Stepping 3, GenuineIntel processors: 8, speed: 3.19GHz Windows-post2008Server-6.2.9200 Running Python 3.2```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 6, 2014 20:01:15 UTC 2014 年 1 月 7 日 (火) 5 時 1 分 15 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:18 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 18 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 08:08:03 UTC 2014 年 2 月 17 日 (月) 17 時 8 分 3 秒 (日本時間)
4511e659801500Dmitry DomanovFebruary 17, 2014 08:08:03 UTC 2014 年 2 月 17 日 (月) 17 時 8 分 3 秒 (日本時間)
4480Ignacio SantosDecember 10, 2021 07:10:16 UTC 2021 年 12 月 10 日 (金) 16 時 10 分 16 秒 (日本時間)
5043e6200 / 6132Dmitry DomanovSeptember 4, 2014 11:43:05 UTC 2014 年 9 月 4 日 (木) 20 時 43 分 5 秒 (日本時間)

## 82×10204+179

### c175

composite cofactor 合成数の残り `2439381456634102831394523200626033084609115678902055989040734412934468789702422089401874105834484582911912241545212166860386674359316477465773551680053404427860242496767058437<175>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 2, 2014 00:25:18 UTC 2014 年 1 月 2 日 (木) 9 時 25 分 18 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:19 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 19 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 08:08:16 UTC 2014 年 2 月 17 日 (月) 17 時 8 分 16 秒 (日本時間)
4511e61500 / 3311Dmitry DomanovMarch 17, 2014 10:04:44 UTC 2014 年 3 月 17 日 (月) 19 時 4 分 44 秒 (日本時間)
5043e6200 / 7137Dmitry DomanovSeptember 4, 2014 11:43:27 UTC 2014 年 9 月 4 日 (木) 20 時 43 分 27 秒 (日本時間)

## 82×10206+179

### c188

name 名前 Bob Backstrom August 16, 2021 02:41:11 UTC 2021 年 8 月 16 日 (月) 11 時 41 分 11 秒 (日本時間) `26607104942137534158592195631182917290573065838142810680939295358813922679139808836264961842985029803693044352179213307442331154172577504091057269590404084891812563864080225654216248086169<188>` ```35027325473995492759631559686083412055639436917851<50> 759609949720278146727162357882342344291660647898819205734285567254543881161977827319006553794269724515048068882833921555115797948630197019<138>``` ```Number: n N=26607104942137534158592195631182917290573065838142810680939295358813922679139808836264961842985029803693044352179213307442331154172577504091057269590404084891812563864080225654216248086169 ( 188 digits) SNFS difficulty: 207 digits. Divisors found: Mon Aug 16 12:31:55 2021 p50 factor: 35027325473995492759631559686083412055639436917851 Mon Aug 16 12:31:55 2021 p138 factor: 759609949720278146727162357882342344291660647898819205734285567254543881161977827319006553794269724515048068882833921555115797948630197019 Mon Aug 16 12:31:55 2021 elapsed time 02:27:21 (Msieve 1.54 - dependency 5) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.351). Factorization parameters were as follows: # # N = 82x10^206+17 = 91(205)3 # n: 26607104942137534158592195631182917290573065838142810680939295358813922679139808836264961842985029803693044352179213307442331154172577504091057269590404084891812563864080225654216248086169 m: 100000000000000000000000000000000000000000 deg: 5 c5: 820 c0: 17 skew: 0.46 # Murphy_E = 7.133e-12 type: snfs lss: 1 rlim: 20000000 alim: 20000000 lpbr: 29 lpba: 29 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 20000000/20000000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 56/56 Sieved special-q in [100000, 44400000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 9826370 hash collisions in 63228246 relations (55656950 unique) Msieve: matrix is 2446599 x 2446828 (849.3 MB) Sieving start time : 2021/08/15 18:35:56 Sieving end time : 2021/08/16 10:02:59 Total sieving time: 15hrs 27min 3secs. Total relation processing time: 1hrs 54min 57sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 16min 37sec. Prototype def-par.txt line would be: snfs,207,5,0,0,0,0,0,0,0,0,20000000,20000000,29,29,56,56,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.119240] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16239968K/16727236K available (14339K kernel code, 2400K rwdata, 5012K rodata, 2736K init, 4964K bss, 487268K reserved, 0K cma-reserved) [ 0.152638] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.25 BogoMIPS (lpj=12798512) [ 0.150211] smpboot: Total of 16 processors activated (102388.09 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 6, 2014 17:01:42 UTC 2014 年 1 月 7 日 (火) 2 時 1 分 42 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:19 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 19 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 08:08:25 UTC 2014 年 2 月 17 日 (月) 17 時 8 分 25 秒 (日本時間)
4511e61500 / 4013Dmitry DomanovMarch 17, 2014 10:04:27 UTC 2014 年 3 月 17 日 (月) 19 時 4 分 27 秒 (日本時間)

## 82×10207+179

### c181

composite cofactor 合成数の残り `1200597654395998489256417709830911340127329051385830552418373067983818232809720391677609512041346633640998497356508361201362441340885727421493110677991992561748254971871529347260569<181>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 1, 2014 12:44:16 UTC 2014 年 1 月 1 日 (水) 21 時 44 分 16 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:20 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 20 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 08:08:33 UTC 2014 年 2 月 17 日 (月) 17 時 8 分 33 秒 (日本時間)
4511e61500 / 4013Dmitry DomanovMarch 17, 2014 10:04:15 UTC 2014 年 3 月 17 日 (月) 19 時 4 分 15 秒 (日本時間)

## 82×10208+179

### c191

name 名前 Cyp January 4, 2014 23:15:14 UTC 2014 年 1 月 5 日 (日) 8 時 15 分 14 秒 (日本時間) `55266616814990347606605016536015365023568930814411822187362255854620850096605877790244539216434375053673351279231695641022184282257448010233885715041942550998145033393709812383708969697658697<191>` `3214977849447235591740444735930604981<37>` `17190356948957693470039350293303266778552822149005164531509144449475110498095531104582493698801666759964689810166266539491323283588038166571093187567722437<155>` ```Run 288 out of 290: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2961982489 Step 1 took 15890ms Step 2 took 5726ms ********** Factor found in step 2: 3214977849447235591740444735930604981 Found probable prime factor of 37 digits: 3214977849447235591740444735930604981 Composite cofactor 17190356948957693470039350293303266778552822149005164531509144449475110498095531104582493698801666759964689810166266539491323283588038166571093187567722437 has 155 digits``` `GMP-ECM 6.4.4` `Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU`

### c155

name 名前 Bob Backstrom October 11, 2021 21:16:55 UTC 2021 年 10 月 12 日 (火) 6 時 16 分 55 秒 (日本時間) `17190356948957693470039350293303266778552822149005164531509144449475110498095531104582493698801666759964689810166266539491323283588038166571093187567722437<155>` ```28404016788715950334237986597690016654462211<44> 605208660339438260417409149413939146805293097785913003483567959254667647400025825541229835198561422241431081367<111>``` ```# # N = 82x10^208+17 = 91(207)3 # n: 17190356948957693470039350293303266778552822149005164531509144449475110498095531104582493698801666759964689810166266539491323283588038166571093187567722437 m: 100000000000000000000000000000000000000000 deg: 5 c5: 82000 c0: 17 skew: 0.18 # Murphy_E = 4.743e-12 type: snfs lss: 1 rlim: 22000000 alim: 22000000 lpbr: 29 lpba: 29 mfbr: 57 mfba: 57 rlambda: 2.6 alambda: 2.6 GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 17190356948957693470039350293303266778552822149005164531509144449475110498095531104582493698801666759964689810166266539491323283588038166571093187567722437 (155 digits) Using B1=43820000, B2=240491351116, polynomial Dickson(12), sigma=1:4092512755 Step 1 took 102662ms Step 2 took 34558ms ********** Factor found in step 2: 28404016788715950334237986597690016654462211 Found prime factor of 44 digits: 28404016788715950334237986597690016654462211 Prime cofactor 605208660339438260417409149413939146805293097785913003483567959254667647400025825541229835198561422241431081367 has 111 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 4, 2014 23:15:13 UTC 2014 年 1 月 5 日 (日) 8 時 15 分 13 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:21 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 21 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 08:08:45 UTC 2014 年 2 月 17 日 (月) 17 時 8 分 45 秒 (日本時間)
4511e61500 / 3311Dmitry DomanovFebruary 17, 2014 08:08:45 UTC 2014 年 2 月 17 日 (月) 17 時 8 分 45 秒 (日本時間)
5043e6200 / 7137Dmitry DomanovSeptember 4, 2014 11:43:48 UTC 2014 年 9 月 4 日 (木) 20 時 43 分 48 秒 (日本時間)

## 82×10210+179

### c210

name 名前 Serge Batalov December 4, 2013 05:18:51 UTC 2013 年 12 月 4 日 (水) 14 時 18 分 51 秒 (日本時間) `828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828283<210>` `299599063243074939525063551<27>` `2764637577023444065259279322679495132897295795067458755073051553745821152227590301189789938195009935386185913362316820047840085802550401244985444662758069878788675993945895108644576133<184>` ```Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=2455480549 Step 1 took 68420ms Step 2 took 34731ms ********** Factor found in step 2: 299599063243074939525063551 Found probable prime factor of 27 digits: 299599063243074939525063551 Composite cofactor```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62010210Serge BatalovDecember 4, 2013 17:31:57 UTC 2013 年 12 月 5 日 (木) 2 時 31 分 57 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:21 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 21 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 08:09:00 UTC 2014 年 2 月 17 日 (月) 17 時 9 分 0 秒 (日本時間)
4511e61560 / 403160Serge BatalovDecember 4, 2013 17:31:57 UTC 2013 年 12 月 5 日 (木) 2 時 31 分 57 秒 (日本時間)
1500Dmitry DomanovMarch 17, 2014 10:03:55 UTC 2014 年 3 月 17 日 (月) 19 時 3 分 55 秒 (日本時間)

## 82×10211+179

### c183

composite cofactor 合成数の残り `138746582317773409469984344313297376464031078436871272176300053373983742465202825535859005588421223245138350730892441328353755088530913089257289550028979954477215017167825399480200521<183>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:27:25 UTC 2014 年 1 月 7 日 (火) 5 時 27 分 25 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2014 05:10:22 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 22 秒 (日本時間)
4511e61500 / 3681Dmitry DomanovMarch 17, 2014 10:03:43 UTC 2014 年 3 月 17 日 (月) 19 時 3 分 43 秒 (日本時間)
5043e6197 / 7200CypFebruary 9, 2014 21:03:39 UTC 2014 年 2 月 10 日 (月) 6 時 3 分 39 秒 (日本時間)

## 82×10212+179

### c186

name 名前 Cyp January 3, 2014 10:20:02 UTC 2014 年 1 月 3 日 (金) 19 時 20 分 2 秒 (日本時間) `145307671739651476927830705273480326269356487101530071295445865009563180191539967100994887832103547830884290066029849890978728937171814722382536744490685637962881265355997189518946746873<186>` `10247120023266321159777443443<29>` `14180342516700016568425214560069135480231668984005699746387790252384894378202597251760855709518726165948236801078449004586239866855736886137969860554953783011<158>` ```Run 80 out of 290: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4104633162 Step 1 took 16190ms Step 2 took 5655ms ********** Factor found in step 2: 10247120023266321159777443443 Found probable prime factor of 29 digits: 10247120023266321159777443443 Composite cofactor 14180342516700016568425214560069135480231668984005699746387790252384894378202597251760855709518726165948236801078449004586239866855736886137969860554953783011 has 158 digits``` `GMP-ECM 6.4.4` `Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU`

### c158

name 名前 Dmitry Domanov February 6, 2014 09:43:40 UTC 2014 年 2 月 6 日 (木) 18 時 43 分 40 秒 (日本時間) `14180342516700016568425214560069135480231668984005699746387790252384894378202597251760855709518726165948236801078449004586239866855736886137969860554953783011<158>` `28313219691219919427671373511873723889<38>` `500838218731351718454967203024088097957676909763992008938653989078336318389697920986997576790468647489373171887166062099<120>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3957107082 Step 1 took 19530ms Step 2 took 7927ms ********** Factor found in step 2: 28313219691219919427671373511873723889 Found probable prime factor of 38 digits: 28313219691219919427671373511873723889 Composite cofactor 500838218731351718454967203024088097957676909763992008938653989078336318389697920986997576790468647489373171887166062099 has 120 digits```

### c120

name 名前 Dmitry Domanov February 8, 2014 07:28:17 UTC 2014 年 2 月 8 日 (土) 16 時 28 分 17 秒 (日本時間) `500838218731351718454967203024088097957676909763992008938653989078336318389697920986997576790468647489373171887166062099<120>` ```2993437678029177448652911831757835498096706782006544822321<58> 167312058108754111656667010540474476295193823483976597345478019<63>``` ```N=500838218731351718454967203024088097957676909763992008938653989078336318389697920986997576790468647489373171887166062099 ( 120 digits) Divisors found: r1=2993437678029177448652911831757835498096706782006544822321 (pp58) r2=167312058108754111656667010540474476295193823483976597345478019 (pp63) Version: Msieve v. 1.50 (SVN unknown) Total time: 41.15 hours. Scaled time: 34.32 units (timescale=0.834). Factorization parameters were as follows: n: 500838218731351718454967203024088097957676909763992008938653989078336318389697920986997576790468647489373171887166062099 skew: 600564.57 c0: -619390764362070614599264931535 c1: 39577707680193865859073215 c2: -40023407900928832449 c3: -212678676298405 c4: 88464766 c5: 240 Y0: -291002749739973392612492 Y1: 1375907271167 rlim: 5000000 alim: 5000000 lpbr: 27 lpba: 27 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 qintsize: 400000 type: gnfs Factor base limits: 5000000/5000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 54/54 Sieved algebraic special-q in [2500000, 4100001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 703837 x 704064 Total sieving time: 39.91 hours. Total relation processing time: 0.21 hours. Matrix solve time: 0.74 hours. Time per square root: 0.29 hours. Prototype def-par.txt line would be: gnfs,119,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5000000,5000000,27,27,54,54,2.5,2.5,100000 total time: 41.15 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
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e6590 / 1525290CypJanuary 3, 2014 10:20:00 UTC 2014 年 1 月 3 日 (金) 19 時 20 分 0 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:23 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 23 秒 (日本時間)
4511e6230 / 4345Ignacio SantosFebruary 6, 2014 17:03:33 UTC 2014 年 2 月 7 日 (金) 2 時 3 分 33 秒 (日本時間)

## 82×10214+179

### c170

name 名前 Dmitry Domanov March 18, 2014 05:36:04 UTC 2014 年 3 月 18 日 (火) 14 時 36 分 4 秒 (日本時間) `14325839345029248417295921350337306461922822544408734771750001494528902417073070606392079969195403022883463411846561281311171297030072786566398131465417306490527079145089<170>` `28283560685704864000365338679620787567151<41>` `506507631914599914584588378416259626788616946789144191862583155632960102022179980469103587281154329170004709269586982556839196239<129>` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1102289318 Step 1 took 57311ms Step 2 took 26866ms ********** Factor found in step 2: 28283560685704864000365338679620787567151 Found probable prime factor of 41 digits: 28283560685704864000365338679620787567151```

### c129

name 名前 Jo Yeong Uk March 29, 2014 08:07:38 UTC 2014 年 3 月 29 日 (土) 17 時 7 分 38 秒 (日本時間) `506507631914599914584588378416259626788616946789144191862583155632960102022179980469103587281154329170004709269586982556839196239<129>` ```126466449793602300425538720305443078910723018638317109973<57> 4005075122621360894660526135877737261776259764350189478424098414656093843<73>``` ```Number: 91113_214 N=506507631914599914584588378416259626788616946789144191862583155632960102022179980469103587281154329170004709269586982556839196239 ( 129 digits) Divisors found: r1=126466449793602300425538720305443078910723018638317109973 r2=4005075122621360894660526135877737261776259764350189478424098414656093843 Version: Total time: 59.83 hours. Scaled time: 311.59 units (timescale=5.208). Factorization parameters were as follows: name: 91113_214 n: 506507631914599914584588378416259626788616946789144191862583155632960102022179980469103587281154329170004709269586982556839196239 skew: 21918.62 # norm 1.31e+17 c5: 904440 c4: 415775232688 c3: -2514592792913432 c2: -180153466990569993377 c1: 182334207693774332942442 c0: 4349066166988235172041941512 # alpha -5.34 Y1: 162865775453183 Y0: -3545189155162198478593867 # Murphy_E 9.25e-11 # M 39779048598158534465528462206504083078124457490717168068984709077063240463015044785459280608764543021785042201343177437445746617 type: gnfs rlim: 8400000 alim: 8400000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.6 alambda: 2.6 qintsize: 100000 Factor base limits: 8400000/8400000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved algebraic special-q in [4200000, 9300001) Primes: rational ideals reading, algebraic ideals reading, Relations: 20470146 Max relations in full relation-set: Initial matrix: Pruned matrix : 1465568 x 1465816 Polynomial selection time: 9.10 hours. Total sieving time: 45.30 hours. Total relation processing time: 2.52 hours. Matrix solve time: 2.55 hours. Time per square root: 0.36 hours. Prototype def-par.txt line would be: gnfs,128,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,8400000,8400000,28,28,55,55,2.6,2.6,100000 total time: 59.83 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04 Memory: 49370224k/51380224k available (5223k kernel code, 1085960k absent, 924040k reserved, 7119k data, 1264k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.85 BogoMIPS (lpj=3399928) Total of 12 processors activated (81598.27 BogoMIPS).``` `GGNFS / Msieve v1.39` `Core i7 4930K`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:27:26 UTC 2014 年 1 月 7 日 (火) 5 時 27 分 26 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 05:10:23 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 23 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 08:09:21 UTC 2014 年 2 月 17 日 (月) 17 時 9 分 21 秒 (日本時間)
4511e61500 / 4040Dmitry DomanovMarch 17, 2014 10:03:26 UTC 2014 年 3 月 17 日 (月) 19 時 3 分 26 秒 (日本時間)

## 82×10215+179

### c172

composite cofactor 合成数の残り `7424666747374476019496985890320059324590051666326552946195523249114385414451521968352054591849762647313993141012717584165121104019300535507770136466146948724554330170423871<172>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 1, 2014 06:17:43 UTC 2014 年 1 月 1 日 (水) 15 時 17 分 43 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:24 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 24 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 08:09:30 UTC 2014 年 2 月 17 日 (月) 17 時 9 分 30 秒 (日本時間)
4511e61500 / 3175Dmitry DomanovMarch 17, 2014 10:03:13 UTC 2014 年 3 月 17 日 (月) 19 時 3 分 13 秒 (日本時間)
5043e6239 / 713739CypJanuary 11, 2014 23:54:18 UTC 2014 年 1 月 12 日 (日) 8 時 54 分 18 秒 (日本時間)
200Dmitry DomanovSeptember 4, 2014 11:44:07 UTC 2014 年 9 月 4 日 (木) 20 時 44 分 7 秒 (日本時間)

## 82×10216+179

### c157

composite cofactor 合成数の残り `2677655212168781556332744515987808021458414475584530914719588555571251259860881816635785095343904783985706943044334742003461297398435064952171036611955469039<157>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 1, 2014 09:41:02 UTC 2014 年 1 月 1 日 (水) 18 時 41 分 2 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:25 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 25 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 08:09:38 UTC 2014 年 2 月 17 日 (月) 17 時 9 分 38 秒 (日本時間)
4511e61500 / 3311Dmitry DomanovMarch 17, 2014 10:03:00 UTC 2014 年 3 月 17 日 (月) 19 時 3 分 0 秒 (日本時間)
5043e6200 / 7137Dmitry DomanovSeptember 4, 2014 11:44:22 UTC 2014 年 9 月 4 日 (木) 20 時 44 分 22 秒 (日本時間)

## 82×10217+179

### c196

composite cofactor 合成数の残り `2875880217580305916253543219985459579480801556884481004077882327065000535376817202522350380885814273399415502503794090980219375717580030651340683386481425360836772103413170484355491786270371006097<196>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 2, 2014 23:45:07 UTC 2014 年 1 月 3 日 (金) 8 時 45 分 7 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:25 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 25 秒 (日本時間)
1500Dmitry DomanovFebruary 14, 2014 12:20:33 UTC 2014 年 2 月 14 日 (金) 21 時 20 分 33 秒 (日本時間)
4511e61500 / 4013Dmitry DomanovFebruary 14, 2014 12:20:33 UTC 2014 年 2 月 14 日 (金) 21 時 20 分 33 秒 (日本時間)

## 82×10218+179

### c201

composite cofactor 合成数の残り `200913951888736292850480629461876537918479800544211191591829666150508479429105895823303095112294161487802660883908859945379000936330704517134096200543641612283909828090616262345464691755424327904542907<201>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 4, 2014 18:12:27 UTC 2014 年 1 月 5 日 (日) 3 時 12 分 27 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:27 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 27 秒 (日本時間)
1500Dmitry DomanovFebruary 14, 2014 12:20:18 UTC 2014 年 2 月 14 日 (金) 21 時 20 分 18 秒 (日本時間)
4511e61500 / 4013Dmitry DomanovFebruary 14, 2014 12:20:18 UTC 2014 年 2 月 14 日 (金) 21 時 20 分 18 秒 (日本時間)

## 82×10219+179

### c176

name 名前 Dmitry Domanov February 6, 2014 09:44:44 UTC 2014 年 2 月 6 日 (木) 18 時 44 分 44 秒 (日本時間) `63393002576412580529432706453103489145127488368513495978293738510222709411032063823165593029441195405860611422976893216229547117625286276369368803959168932711535458006722914061<176>` ```1425161783857586745265877795882455853849<40> 44481267526569673027796198052736620176236853227417522827551171521980116285750379067669295173076103126791349893733738352599059409179053589<137>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3591500481 Step 1 took 22904ms Step 2 took 8934ms ********** Factor found in step 2: 1425161783857586745265877795882455853849 Found probable prime factor of 40 digits: 1425161783857586745265877795882455853849```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:27:27 UTC 2014 年 1 月 7 日 (火) 5 時 27 分 27 秒 (日本時間)
403e6300 / 2100Serge BatalovJanuary 9, 2014 05:10:28 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 28 秒 (日本時間)

## 82×10220+179

### c194

name 名前 Erik Branger January 25, 2019 08:28:27 UTC 2019 年 1 月 25 日 (金) 17 時 28 分 27 秒 (日本時間) `39836515764575661316803705870500196156607770660378447987282268507788431904085227041745481956982014917485971680386712223001768857885155796115811846152904726686526930929818998211696677608253470231<194>` ```10211695043515373025792521100331816258454144719<47> 9642436412203318612694697805486352523658535115533461614643<58> 404572841940902510677494833087648307674756890877696106633397603333846484776899332150479843<90>``` ```Number: 91113_220 N = 39836515764575661316803705870500196156607770660378447987282268507788431904085227041745481956982014917485971680386712223001768857885155796115811846152904726686526930929818998211696677608253470231 (194 digits) SNFS difficulty: 222 digits. Divisors found: r1=10211695043515373025792521100331816258454144719 (pp47) r2=9642436412203318612694697805486352523658535115533461614643 (pp58) r3=404572841940902510677494833087648307674756890877696106633397603333846484776899332150479843 (pp90) Version: Msieve v. 1.52 (SVN unknown) Total time: 113.41 hours. Factorization parameters were as follows: n: 39836515764575661316803705870500196156607770660378447987282268507788431904085227041745481956982014917485971680386712223001768857885155796115811846152904726686526930929818998211696677608253470231 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 82 c0: 17 skew: 1.00 type: snfs lss: 1 rlim: 536870912 alim: 536870912 lpbr: 29 lpba: 28 mfbr: 58 mfba: 56 rlambda: 2.8 alambda: 2.8 side: 1 Factor base limits: 536870912/536870912 Large primes per side: 3 Large prime bits: 29/28 Relations: 9857650 relations Pruned matrix : 8391982 x 8392207 Total pre-computation time approximately 300 CPU-days. Pre-computation saved approximately 8 G relations. Total batch smoothness checking time: 48.13 hours. Total relation processing time: 0.43 hours. Matrix solve time: 63.99 hours. time per square root: 0.87 hours. Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000 total time: 113.41 hours. Intel64 Family 6 Model 60 Stepping 3, GenuineIntel Windows-10-10.0.17134-SP0 processors: 8, speed: 3.50GHz``` `GGNFS, NFS_factory, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 5, 2014 06:00:12 UTC 2014 年 1 月 5 日 (日) 15 時 0 分 12 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:29 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 29 秒 (日本時間)
1500Dmitry DomanovFebruary 14, 2014 12:20:02 UTC 2014 年 2 月 14 日 (金) 21 時 20 分 2 秒 (日本時間)
4511e61500 / 4013Dmitry DomanovFebruary 14, 2014 12:20:02 UTC 2014 年 2 月 14 日 (金) 21 時 20 分 2 秒 (日本時間)

## 82×10221+179

### c188

name 名前 Erik Branger July 14, 2020 11:36:36 UTC 2020 年 7 月 14 日 (火) 20 時 36 分 36 秒 (日本時間) `13465857699612586504523202186070930362517734111342835874994691080711666266556420982227148882450921255795390982397812564140765863289859405902335440196709106422062832986510074146632919667551<188>` ```42838229989265240820236795067270978141169509006756049<53> 15144386150018202642419413643877163584634130197731704504371<59> 20756342478508556557004101731991670822411229967991007213549665183011403438869<77>``` ```Number: 91113_221 N = 13465857699612586504523202186070930362517734111342835874994691080711666266556420982227148882450921255795390982397812564140765863289859405902335440196709106422062832986510074146632919667551 (188 digits) SNFS difficulty: 223 digits. Divisors found: r1=42838229989265240820236795067270978141169509006756049 (pp53) r2=15144386150018202642419413643877163584634130197731704504371 (pp59) r3=20756342478508556557004101731991670822411229967991007213549665183011403438869 (pp77) Version: Msieve v. 1.52 (SVN unknown) Total time: 72.03 hours. Factorization parameters were as follows: n: 13465857699612586504523202186070930362517734111342835874994691080711666266556420982227148882450921255795390982397812564140765863289859405902335440196709106422062832986510074146632919667551 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 820 c0: 17 skew: 1.00 type: snfs lss: 1 rlim: 536870912 alim: 44739242 lpbr: 29 lpba: 28 mfbr: 58 mfba: 56 rlambda: 2.8 alambda: 2.8 side: 1 Factor base limits: 536870912/44739242 Large primes per side: 3 Large prime bits: 29/28 Relations: 7989570 relations Pruned matrix : 6893063 x 6893288 Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G relations. Total batch smoothness checking time: 36.20 hours. Total relation processing time: 0.37 hours. Matrix solve time: 34.98 hours. time per square root: 0.49 hours. Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000 total time: 72.03 hours. Intel64 Family 6 Model 60 Stepping 3, GenuineIntel Windows-10-10.0.18362-SP0 processors: 8, speed: 3.50GHz``` `GGNFS, NFS_factory, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 2, 2014 09:24:19 UTC 2014 年 1 月 2 日 (木) 18 時 24 分 19 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:30 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 30 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 08:10:03 UTC 2014 年 2 月 17 日 (月) 17 時 10 分 3 秒 (日本時間)
4511e61500 / 3876Dmitry DomanovMarch 17, 2014 10:02:31 UTC 2014 年 3 月 17 日 (月) 19 時 2 分 31 秒 (日本時間)
5043e639 / 7137CypFebruary 2, 2014 13:22:30 UTC 2014 年 2 月 2 日 (日) 22 時 22 分 30 秒 (日本時間)

## 82×10222+179

### c188

name 名前 Erik Branger July 25, 2020 17:29:34 UTC 2020 年 7 月 26 日 (日) 2 時 29 分 34 秒 (日本時間) `10003849042998238042504204041956418794543567288307867574535797438093208873999475671957189249832769715654772116476210848041448620190185386549734747717873687648403361252681624815320865056853<188>` ```24899688247206910704122774060005353813870960602341097<53> 1310492753225399685435536232448382113068717403486285771<55> 306576312568060532373766549227905890585239458737201938522901374822414855949683719<81>``` ```Number: 91113_222 N = 10003849042998238042504204041956418794543567288307867574535797438093208873999475671957189249832769715654772116476210848041448620190185386549734747717873687648403361252681624815320865056853 (188 digits) SNFS difficulty: 224 digits. Divisors found: r1=24899688247206910704122774060005353813870960602341097 (pp53) r2=1310492753225399685435536232448382113068717403486285771 (pp55) r3=306576312568060532373766549227905890585239458737201938522901374822414855949683719 (pp81) Version: Msieve v. 1.52 (SVN unknown) Total time: 115.91 hours. Factorization parameters were as follows: n: 10003849042998238042504204041956418794543567288307867574535797438093208873999475671957189249832769715654772116476210848041448620190185386549734747717873687648403361252681624815320865056853 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 8200 c0: 17 skew: 1.00 type: snfs lss: 1 rlim: 536870912 alim: 44739242 lpbr: 29 lpba: 28 mfbr: 58 mfba: 56 rlambda: 2.8 alambda: 2.8 side: 1 Factor base limits: 536870912/44739242 Large primes per side: 3 Large prime bits: 29/28 Relations: 10418520 relations Pruned matrix : 8838179 x 8838404 Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G relations. Total batch smoothness checking time: 51.12 hours. Total relation processing time: 0.41 hours. Matrix solve time: 63.32 hours. time per square root: 1.06 hours. Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000 total time: 115.91 hours. Intel64 Family 6 Model 60 Stepping 3, GenuineIntel Windows-10-10.0.18362-SP0 processors: 8, speed: 3.50GHz``` `GGNFS, NFS_factory, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:27:27 UTC 2014 年 1 月 7 日 (火) 5 時 27 分 27 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 05:10:30 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 30 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 08:10:12 UTC 2014 年 2 月 17 日 (月) 17 時 10 分 12 秒 (日本時間)
4511e61500 / 3875Dmitry DomanovMarch 17, 2014 10:02:18 UTC 2014 年 3 月 17 日 (月) 19 時 2 分 18 秒 (日本時間)
5043e647 / 7143CypJanuary 11, 2014 08:58:59 UTC 2014 年 1 月 11 日 (土) 17 時 58 分 59 秒 (日本時間)

## 82×10224+179

### c222

name 名前 Serge Batalov January 5, 2014 02:55:25 UTC 2014 年 1 月 5 日 (日) 11 時 55 分 25 秒 (日本時間) `684531263043659737874613907671758911428332915936221721345688287837048167626680023374238250271308122547791969279572585357709324651473411803990316387010601886634944486184155605643208948994072961015109775440353952750646965523<222>` `37755854380033738774846649062407679822021<41>` `18130466765590063655143936669917624824710825003957855388563122155056169841358837296609232086307737343576186960455069184029844032051508135979879404275750352052156344461771227427894263<182>` ```Using B1=43000000, B2=582162027730, polynomial Dickson(30), sigma=1771707250 Step 1 took 288625ms Step 2 took 162337ms ********** Factor found in step 2: 37755854380033738774846649062407679822021 Found probable prime factor of 41 digits: 37755854380033738774846649062407679822021 Composite cofactor ```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e6210Serge BatalovDecember 4, 2013 17:32:17 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 17 秒 (日本時間)
4511e6560 / 267560Serge BatalovDecember 4, 2013 17:32:17 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 17 秒 (日本時間)
500Serge BatalovJanuary 4, 2014 22:39:33 UTC 2014 年 1 月 5 日 (日) 7 時 39 分 33 秒 (日本時間)
5043e6500 / 7419Serge BatalovJanuary 4, 2014 23:01:29 UTC 2014 年 1 月 5 日 (日) 8 時 1 分 29 秒 (日本時間)

## 82×10227+179

### c207

composite cofactor 合成数の残り `155272603535706263231781416930436739431285078406361202499642054720328152519241388725430115802704094317853791814718761180294877356629229414253391633584989952580448921513181051679851099309762987184640387460787<207>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:27:28 UTC 2014 年 1 月 7 日 (火) 5 時 27 分 28 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 05:10:31 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 31 秒 (日本時間)
1500Dmitry DomanovFebruary 14, 2014 12:19:40 UTC 2014 年 2 月 14 日 (金) 21 時 19 分 40 秒 (日本時間)
4511e61500 / 3875Dmitry DomanovFebruary 14, 2014 12:19:40 UTC 2014 年 2 月 14 日 (金) 21 時 19 分 40 秒 (日本時間)
5043e647 / 7143CypJanuary 12, 2014 14:00:45 UTC 2014 年 1 月 12 日 (日) 23 時 0 分 45 秒 (日本時間)

## 82×10228+179

### c182

composite cofactor 合成数の残り `41051413806200675507995477759559745346191498743541563159691583262559619952249920520750405241206440985231163951925209740866739727533804640444396485816283885230036686745128795283680507<182>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 3, 2014 04:14:11 UTC 2014 年 1 月 3 日 (金) 13 時 14 分 11 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:32 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 32 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 08:10:32 UTC 2014 年 2 月 17 日 (月) 17 時 10 分 32 秒 (日本時間)
4511e61504 / 31714CypJanuary 7, 2014 07:14:43 UTC 2014 年 1 月 7 日 (火) 16 時 14 分 43 秒 (日本時間)
1500Dmitry DomanovMarch 17, 2014 10:01:53 UTC 2014 年 3 月 17 日 (月) 19 時 1 分 53 秒 (日本時間)
5043e6240 / 7136Dmitry DomanovNovember 22, 2014 00:41:13 UTC 2014 年 11 月 22 日 (土) 9 時 41 分 13 秒 (日本時間)

## 82×10229+179

### c173

name 名前 Dmitry Domanov March 18, 2014 05:35:26 UTC 2014 年 3 月 18 日 (火) 14 時 35 分 26 秒 (日本時間) `25606848990912006092022536634665100341428248029155257288603942392861004693432648218394285995872357495941282320123547416568031042135438153784385818776505503689777773481314161<173>` ```2036460737948522000584114776702730997655889<43> 12574192329731672124890085706828777393065261377395571813861339793711289738857132407533375833269572693601907503622351388424664380449<131>``` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1098591702 Step 1 took 97098ms Step 2 took 30374ms ********** Factor found in step 2: 2036460737948522000584114776702730997655889 Found probable prime factor of 43 digits: 2036460737948522000584114776702730997655889```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 5, 2014 10:11:58 UTC 2014 年 1 月 5 日 (日) 19 時 11 分 58 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:33 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 33 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 08:10:41 UTC 2014 年 2 月 17 日 (月) 17 時 10 分 41 秒 (日本時間)
4511e61500 / 3876Dmitry DomanovMarch 17, 2014 10:01:34 UTC 2014 年 3 月 17 日 (月) 19 時 1 分 34 秒 (日本時間)
5043e639 / 7137CypJanuary 12, 2014 00:03:03 UTC 2014 年 1 月 12 日 (日) 9 時 3 分 3 秒 (日本時間)

## 82×10231+179

### c193

composite cofactor 合成数の残り `2925505068008071460895492762368336334835985398711700574935384162738581756358227377265372674113423263118233481525235670818452630565838483554055971209593067227865971534599464605046689914599577577<193>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 4, 2014 13:09:29 UTC 2014 年 1 月 4 日 (土) 22 時 9 分 29 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:33 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 33 秒 (日本時間)
1500Dmitry DomanovFebruary 14, 2014 12:11:59 UTC 2014 年 2 月 14 日 (金) 21 時 11 分 59 秒 (日本時間)
4511e61500 / 3876Dmitry DomanovFebruary 14, 2014 12:11:59 UTC 2014 年 2 月 14 日 (金) 21 時 11 分 59 秒 (日本時間)
5043e639 / 7137CypJanuary 13, 2014 01:36:09 UTC 2014 年 1 月 13 日 (月) 10 時 36 分 9 秒 (日本時間)

## 82×10232+179

### c208

name 名前 Cyp January 1, 2014 19:28:21 UTC 2014 年 1 月 2 日 (木) 4 時 28 分 21 秒 (日本時間) `1518495458962058413365330464358572361881800939520835409477804408043195918822799575706472502760157455924487923291281799518121857247266562117782554192916389494252368837991636464843541278693652535337211288338267<208>` `19913593876326491736102078856031<32>` `76254214502549597064369332978505057969241671958598737426940355277694348553230752342512187607078273934926467923251841075759001790518233719503472534228928034395856336032698759557<176>` ```Run 93 out of 290: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3540152180 Step 1 took 18563ms Step 2 took 6321ms ********** Factor found in step 2: 19913593876326491736102078856031 Found probable prime factor of 32 digits: 19913593876326491736102078856031 Composite cofactor 76254214502549597064369332978505057969241671958598737426940355277694348553230752342512187607078273934926467923251841075759001790518233719503472534228928034395856336032698759557 has 176 digits``` `GMP-ECM 6.4.4` `Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU`

### c176

name 名前 Dmitry Domanov March 19, 2014 05:31:50 UTC 2014 年 3 月 19 日 (水) 14 時 31 分 50 秒 (日本時間) `76254214502549597064369332978505057969241671958598737426940355277694348553230752342512187607078273934926467923251841075759001790518233719503472534228928034395856336032698759557<176>` ```9008757276331807487050830534559858597<37> 8464454326335101909908706053556706881537664364213611846356230433350370941054456475544324985887311331533303373513062416964158244553541315681<139>``` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4062588996 Step 1 took 92885ms Step 2 took 31606ms ********** Factor found in step 2: 9008757276331807487050830534559858597 Found probable prime factor of 37 digits: 9008757276331807487050830534559858597```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 1, 2014 19:28:20 UTC 2014 年 1 月 2 日 (木) 4 時 28 分 20 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:34 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 34 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 08:10:56 UTC 2014 年 2 月 17 日 (月) 17 時 10 分 56 秒 (日本時間)
4511e61500 / 4013Dmitry DomanovMarch 17, 2014 10:01:13 UTC 2014 年 3 月 17 日 (月) 19 時 1 分 13 秒 (日本時間)

## 82×10233+179

### c191

composite cofactor 合成数の残り `63625170882865674202717024409392689994749270304318104590641324802383067647845518451433868399674650307078554361894937720073308216414932009737585577509008392598315204112825018236426989138694083<191>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:27:29 UTC 2014 年 1 月 7 日 (火) 5 時 27 分 29 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 05:10:35 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 35 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 08:11:04 UTC 2014 年 2 月 17 日 (月) 17 時 11 分 4 秒 (日本時間)
4511e61500 / 3875Dmitry DomanovMarch 17, 2014 10:00:57 UTC 2014 年 3 月 17 日 (月) 19 時 0 分 57 秒 (日本時間)
5043e647 / 7143CypJanuary 30, 2014 23:38:35 UTC 2014 年 1 月 31 日 (金) 8 時 38 分 35 秒 (日本時間)

## 82×10234+179

### c196

name 名前 Serge Batalov January 6, 2014 22:10:57 UTC 2014 年 1 月 7 日 (火) 7 時 10 分 57 秒 (日本時間) `8094751113421565149334069470185769461651427908496686125464614734565079540570068521761842706492377296650005849531443793314390510602716363925997428039103443352221694033366424582282405601812678007529<196>` ```3267981838773568499354861634297127<34> 2476987790256331718788812981723745492142712429988225558935144877731282985290122383629522352779878517010926362895311261882084607379688753474098612024391851000361327<163>``` ```Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=1348334217 Step 1 took 5807ms Step 2 took 3939ms ********** Factor found in step 2: 3267981838773568499354861634297127 Found probable prime factor of 34 digits: 3267981838773568499354861634297127 Probable prime cofactor```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:27:30 UTC 2014 年 1 月 7 日 (火) 5 時 27 分 30 秒 (日本時間)

## 82×10235+179

### c198

name 名前 Serge Batalov January 9, 2014 08:33:13 UTC 2014 年 1 月 9 日 (木) 17 時 33 分 13 秒 (日本時間) `550631946023081058170632049554385292693851711434686277354057315900220666448874049151399672668509231913012809793074784167318222380867435994885359770351856520302938832802277758753358006611353385450873<198>` `2387248115296452178856613552223042219171<40>` `230655516070939583867303783146622304112670008849922296797127735261356020721435972861424310865136025871815568760423101958781061370185662203620691968706139706163<159>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4160673270 Step 1 took 17527ms Step 2 took 6811ms ********** Factor found in step 2: 2387248115296452178856613552223042219171 Found probable prime factor of 40 digits: 2387248115296452178856613552223042219171 Composite cofactor```

### c159

name 名前 Serge Batalov January 9, 2014 17:17:36 UTC 2014 年 1 月 10 日 (金) 2 時 17 分 36 秒 (日本時間) `230655516070939583867303783146622304112670008849922296797127735261356020721435972861424310865136025871815568760423101958781061370185662203620691968706139706163<159>` `6739570388414422398606534272641154479243<40>` `34224068119749172870726891427962297261100287964912229876563735158294501126275614490386472703927856797267017951456520441<119>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2277796290 Step 1 took 18583ms Step 2 took 7214ms ********** Factor found in step 2: 6739570388414422398606534272641154479243 Found probable prime factor of 40 digits: 6739570388414422398606534272641154479243 Composite cofactor ```

### c119

name 名前 Dmitry Domanov January 13, 2014 11:48:23 UTC 2014 年 1 月 13 日 (月) 20 時 48 分 23 秒 (日本時間) `34224068119749172870726891427962297261100287964912229876563735158294501126275614490386472703927856797267017951456520441<119>` ```78317182035023812272466768014134500059359231071208288190041<59> 436993099476485359116969662297858584986709383448139186154401<60>``` ```N=34224068119749172870726891427962297261100287964912229876563735158294501126275614490386472703927856797267017951456520441 ( 119 digits) Divisors found: r1=78317182035023812272466768014134500059359231071208288190041 (pp59) r2=436993099476485359116969662297858584986709383448139186154401 (pp60) Version: Msieve v. 1.50 (SVN unknown) Total time: 42.31 hours. Scaled time: 0.00 units (timescale=0.000). Factorization parameters were as follows: n: 34224068119749172870726891427962297261100287964912229876563735158294501126275614490386472703927856797267017951456520441 skew: 92809.08 c0: 21218459437865305380384663615 c1: 24133119710149600324077 c2: -16475293734589226225 c3: -341530905238597 c4: 2097396474 c5: 15984 Y0: -73473224379103011912802 Y1: 856336625717 rlim: 4900000 alim: 4900000 lpbr: 27 lpba: 27 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 type: gnfs qintsize: 400000 Factor base limits: 4900000/4900000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 54/54 Sieved algebraic special-q in [2450000, 4450001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 543564 x 543796 Total sieving time: 41.84 hours. Total relation processing time: 0.13 hours. Matrix solve time: 0.26 hours. Time per square root: 0.08 hours. Prototype def-par.txt line would be: gnfs,118,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4900000,4900000,27,27,54,54,2.5,2.5,100000 total time: 42.31 hours. --------- CPU info (if available) ---------- [ 0.074309] CPU0: Intel(R) Xeon(R) CPU E5620 @ 2.40GHz stepping 02 [ 0.000000] Memory: 49296732k/51380224k available (5105k kernel code, 1057796k absent, 1025696k reserved, 7223k data, 1316k init) [ 0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.00 BogoMIPS (lpj=2400000) [ 0.707507] Total of 16 processors activated (76799.07 BogoMIPS).```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e6590 / 2318290CypJanuary 3, 2014 04:06:52 UTC 2014 年 1 月 3 日 (金) 13 時 6 分 52 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:36 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 36 秒 (日本時間)

## 82×10237+179

### c223

composite cofactor 合成数の残り `1312213149488934301004836861057761043427663212331600535805772856689420935941017329820851763791169434316379119550144908312055832113392533718977147311582888916425778680789995549888888925592483177310777058656159075442266046703<223>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 3, 2014 20:47:44 UTC 2014 年 1 月 4 日 (土) 5 時 47 分 44 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:37 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 37 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 08:11:12 UTC 2014 年 2 月 17 日 (月) 17 時 11 分 12 秒 (日本時間)
4511e61500 / 4013Dmitry DomanovMarch 17, 2014 10:00:42 UTC 2014 年 3 月 17 日 (月) 19 時 0 分 42 秒 (日本時間)

## 82×10238+179

### c220

composite cofactor 合成数の残り `1317520321292053093672064101424148558745789914943547711484460191943291661140221813807053758666972145996870656593059912881346766127428512675165420179046279941705601049084880849644567365101859338134911908648218672572515433<220>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:27:31 UTC 2014 年 1 月 7 日 (火) 5 時 27 分 31 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 05:10:38 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 38 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 08:11:24 UTC 2014 年 2 月 17 日 (月) 17 時 11 分 24 秒 (日本時間)
4511e61500 / 4040Dmitry DomanovMarch 17, 2014 10:00:29 UTC 2014 年 3 月 17 日 (月) 19 時 0 分 29 秒 (日本時間)

## 82×10239+179

### c235

composite cofactor 合成数の残り `5202395385855955822781035619278554647674116877522289409255315166822421309011500465995050111121896564959836873182730331297420309770923304637681711105908715725255155288330075491832556463436994233588821701855795944288689802099610645116061<235>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e6210Serge BatalovDecember 4, 2013 17:32:32 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 32 秒 (日本時間)
4511e6136060Serge BatalovDecember 4, 2013 17:32:32 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 32 秒 (日本時間)
500Serge BatalovJanuary 4, 2014 22:39:48 UTC 2014 年 1 月 5 日 (日) 7 時 39 分 48 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:25:50 UTC 2014 年 2 月 24 日 (月) 4 時 25 分 50 秒 (日本時間)
5043e6500 / 6757Serge BatalovJanuary 4, 2014 23:01:45 UTC 2014 年 1 月 5 日 (日) 8 時 1 分 45 秒 (日本時間)
5511e7200 / 17504Dmitry DomanovMay 13, 2014 09:06:45 UTC 2014 年 5 月 13 日 (火) 18 時 6 分 45 秒 (日本時間)

## 82×10240+179

### c194

name 名前 Cyp January 6, 2014 20:23:02 UTC 2014 年 1 月 7 日 (火) 5 時 23 分 2 秒 (日本時間) `61160889593567900402753524529873264851884165233748893091575115960471849323466827859212261635485619643687235770407929023651473232589174082837776561125464131905609982250258927519032845902015129157<194>` `5226891817734732798598461069923<31>` `11701196758281910957253281848079766951531511095393563506467827459260359439058742127055699140748615073690266027004571488739671913788300084125272619988248766321051959<164>` ```Run 41 out of 290: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=916119622 Step 1 took 18812ms Step 2 took 6079ms ********** Factor found in step 2: 5226891817734732798598461069923 Found probable prime factor of 31 digits: 5226891817734732798598461069923 Composite cofactor 11701196758281910957253281848079766951531511095393563506467827459260359439058742127055699140748615073690266027004571488739671913788300084125272619988248766321051959 has 164 digits``` `GMP-ECM 6.4.4` `Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e6592290CypJanuary 6, 2014 20:23:01 UTC 2014 年 1 月 7 日 (火) 5 時 23 分 1 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:39 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 39 秒 (日本時間)
2KTakahashiFebruary 11, 2014 11:00:19 UTC 2014 年 2 月 11 日 (火) 20 時 0 分 19 秒 (日本時間)
4511e6460230Ignacio SantosFebruary 8, 2014 17:39:33 UTC 2014 年 2 月 9 日 (日) 2 時 39 分 33 秒 (日本時間)
230Ignacio SantosFebruary 8, 2014 21:46:17 UTC 2014 年 2 月 9 日 (日) 6 時 46 分 17 秒 (日本時間)
5043e61200 / 7408Erik BrangerFebruary 27, 2014 12:13:44 UTC 2014 年 2 月 27 日 (木) 21 時 13 分 44 秒 (日本時間)
5511e78 / 17308KTakahashiFebruary 11, 2014 10:57:54 UTC 2014 年 2 月 11 日 (火) 19 時 57 分 54 秒 (日本時間)

## 82×10242+179

### c220

name 名前 Dmitry Domanov February 6, 2014 09:44:12 UTC 2014 年 2 月 6 日 (木) 18 時 44 分 12 秒 (日本時間) `1972889238425390627979869349385929542679208112995225917551856955931087855216465910890026497270001965833433382307103365527225385868670183771205626790220267627655105040943398342088315831141633459324262587783676743772208423<220>` ```3428849822046086265725508084015649243<37> 575379308169325108543823191131363666150132016503222138683522954398026972303918993224635416285002941209125052368070045185783147980932987726050232613940158770393827807187625623241892261<183>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3129682457 Step 1 took 30435ms Step 2 took 11078ms ********** Factor found in step 2: 3428849822046086265725508084015649243 Found probable prime factor of 37 digits: 3428849822046086265725508084015649243```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:27:32 UTC 2014 年 1 月 7 日 (火) 5 時 27 分 32 秒 (日本時間)
403e6300 / 2100Serge BatalovJanuary 9, 2014 05:10:39 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 39 秒 (日本時間)

## 82×10243+179

### c218

composite cofactor 合成数の残り `47933394718767001823243197695252812744809881663375637938702764776369233788673186845438161064525310492931235570591769008017757289995202686187867592121307714165376584283127103299927282779990010587831443916320376745977489<218>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 4, 2014 16:08:04 UTC 2014 年 1 月 5 日 (日) 1 時 8 分 4 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:40 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 40 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 08:12:00 UTC 2014 年 2 月 17 日 (月) 17 時 12 分 0 秒 (日本時間)
4511e61500 / 4013Dmitry DomanovMarch 17, 2014 09:59:46 UTC 2014 年 3 月 17 日 (月) 18 時 59 分 46 秒 (日本時間)

## 82×10244+179

### c205

composite cofactor 合成数の残り `1937821583511593448490733203450125976195416689318724022321540303433020036304102364192724485135463617389434993799412408934514345923957059949197684809688594666156241263470767616712080818224350949758412455783<205>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 2, 2014 22:05:56 UTC 2014 年 1 月 3 日 (金) 7 時 5 分 56 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:41 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 41 秒 (日本時間)
1500Dmitry DomanovFebruary 13, 2014 10:51:17 UTC 2014 年 2 月 13 日 (木) 19 時 51 分 17 秒 (日本時間)
4511e61500 / 3350Dmitry DomanovFebruary 14, 2014 12:11:16 UTC 2014 年 2 月 14 日 (金) 21 時 11 分 16 秒 (日本時間)
5043e6189 / 7137CypFebruary 14, 2014 03:12:09 UTC 2014 年 2 月 14 日 (金) 12 時 12 分 9 秒 (日本時間)

## 82×10245+179

### c186

name 名前 Cyp January 1, 2014 06:21:52 UTC 2014 年 1 月 1 日 (水) 15 時 21 分 52 秒 (日本時間) `107716761873645556352931327689596435386852152350682103065177669175399160324065518312597789644674281046791517093283578157164950338464392064579386146242659064190959831827490129866658363763<186>` `69063666146065376791132499023515323<35>` `1559673383770726504459806133944758299283041312004860853806684946107972896541146769042135553903511526124542131729613255111590421784565300572529785946281<151>` ```Run 23 out of 290: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3658316169 Step 1 took 16025ms ********** Factor found in step 1: 69063666146065376791132499023515323 Found probable prime factor of 35 digits: 69063666146065376791132499023515323 Composite cofactor 1559673383770726504459806133944758299283041312004860853806684946107972896541146769042135553903511526124542131729613255111590421784565300572529785946281 has 151 digits``` `GMP-ECM 6.4.4` `Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e6890290CypJanuary 1, 2014 06:21:51 UTC 2014 年 1 月 1 日 (水) 15 時 21 分 51 秒 (日本時間)
600Lionel DebrouxJanuary 2, 2014 14:44:43 UTC 2014 年 1 月 2 日 (木) 23 時 44 分 43 秒 (日本時間)
4511e62524500Serge BatalovJanuary 4, 2014 22:39:04 UTC 2014 年 1 月 5 日 (日) 7 時 39 分 4 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:12 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 12 秒 (日本時間)
1124Ignacio SantosJanuary 8, 2016 22:07:09 UTC 2016 年 1 月 9 日 (土) 7 時 7 分 9 秒 (日本時間)
5043e6500 / 6953Serge BatalovJanuary 4, 2014 23:01:05 UTC 2014 年 1 月 5 日 (日) 8 時 1 分 5 秒 (日本時間)

## 82×10246+179

### c198

name 名前 Cyp February 14, 2014 16:00:47 UTC 2014 年 2 月 15 日 (土) 1 時 0 分 47 秒 (日本時間) `270292251858695207280429584313361138015425931391242982474978211818614132507310491144435478756047799326114988602944183760886603400053777478373300917613336493357963625395494343043024822086053035366157<198>` `35154853002510185951605035862515468002393<41>` `7688618462987040373270467442148089734626241348266678847374942432105957275151648540781357713309772763126877380340078174630413403749936221658257669404345467349<157>` ```Run 84 out of 501: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1194503445 Step 1 took 68845ms Step 2 took 20849ms ********** Factor found in step 2: 35154853002510185951605035862515468002393 Found probable prime factor of 41 digits: 35154853002510185951605035862515468002393 Composite cofactor 7688618462987040373270467442148089734626241348266678847374942432105957275151648540781357713309772763126877380340078174630413403749936221658257669404345467349 has 157 digits``` `GMP-ECM 6.4.4` `Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU`

### c157

name 名前 Serge Batalov May 24, 2014 21:27:50 UTC 2014 年 5 月 25 日 (日) 6 時 27 分 50 秒 (日本時間) `7688618462987040373270467442148089734626241348266678847374942432105957275151648540781357713309772763126877380340078174630413403749936221658257669404345467349<157>` ```145220646256909628297246663120019776242486039<45> 52944389528367178170471829003768446439768854868143190223731624953168011200039913869154515779411385119323988770291<113>``` ```Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=822003147 Step 1 took 40382ms Step 2 took 21293ms ********** Factor found in step 2: 145220646256909628297246663120019776242486039 Found probable prime factor of 45 digits: 145220646256909628297246663120019776242486039 Probable prime cofactor```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e6590290CypJanuary 1, 2014 08:36:11 UTC 2014 年 1 月 1 日 (水) 17 時 36 分 11 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:42 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 42 秒 (日本時間)
4511e62901 / 4345501CypFebruary 14, 2014 16:00:46 UTC 2014 年 2 月 15 日 (土) 1 時 0 分 46 秒 (日本時間)
1500Dmitry DomanovMarch 17, 2014 09:58:57 UTC 2014 年 3 月 17 日 (月) 18 時 58 分 57 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:03 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 3 秒 (日本時間)

## 82×10247+179

### c239

name 名前 Serge Batalov December 25, 2013 04:23:06 UTC 2013 年 12 月 25 日 (水) 13 時 23 分 6 秒 (日本時間) `63617703668856873771391001619056826258322818376221069000988212349623382383542558356597351964273760516424101598781732208696868002003864876820713532553657302661343207668626151910990551093902857425368070001918982257457452200295076489825489111<239>` `5678333917136551429391319659060296097<37>` `11203586227443589076574673192292631065361163597002062140520484516385340460712249950365860769997111466097123084767970467755173530790803415611128818848236861401745098299290129039578836438212779042069555063<203>` ```Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=1334473032 Step 1 took 78285ms Step 2 took 34857ms ********** Factor found in step 2: 5678333917136551429391319659060296097 Found probable prime factor of 37 digits: 5678333917136551429391319659060296097 Composite cofactor```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e60--
4511e62000 / 4475Serge BatalovDecember 25, 2013 04:18:59 UTC 2013 年 12 月 25 日 (水) 13 時 18 分 59 秒 (日本時間)

## 82×10249+179

### c247

name 名前 Serge Batalov December 24, 2013 21:31:37 UTC 2013 年 12 月 25 日 (水) 6 時 31 分 37 秒 (日本時間) `1135907132665641579742065965728850655917106484367424399839310698305836069207219936555430882821482497333388743437365803654296360941417667511670753161839061352837689952762886312319051379018964108105112967349596198866863372535981936306085414675366053<247>` ```6032330369637967032198902591466291529<37> 188303203415865558325043380698896191434121845720128008808859469683738244544261614601308662120483581398180817253756961383263457467737873140644268025593358320885422604798833519576184281023392099868494866942124157<210>``` ```Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=3902649265 Step 1 took 76810ms Step 2 took 33978ms ********** Factor found in step 2: 6032330369637967032198902591466291529 Found probable prime factor of 37 digits: 6032330369637967032198902591466291529 Probable prime cofactor```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e6210Serge BatalovDecember 4, 2013 17:32:48 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 48 秒 (日本時間)
4511e6660 / 442960Serge BatalovDecember 4, 2013 17:32:48 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 48 秒 (日本時間)
600Serge BatalovDecember 24, 2013 19:51:14 UTC 2013 年 12 月 25 日 (水) 4 時 51 分 14 秒 (日本時間)

## 82×10251+179

### c220

name 名前 Eric Jeancolas April 18, 2021 08:30:16 UTC 2021 年 4 月 18 日 (日) 17 時 30 分 16 秒 (日本時間) `1608210822034283104552075923506860886054386949494281617268067995291197750276174524033478227676355505962258398500069315963008162078855434242687277259919692308112215318571075811753033634163906311801642754335401873242644717<220>` ```114694419815869826851954419776197573<36> 14021700660032992667943356434446074338872920289627362673694328443930471003467189066805160805897559520671594658575010544887874597934084445746888472576263888026630788259252550018597118729<185>``` ```GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 1608210822034283104552075923506860886054386949494281617268067995291197750276174524033478227676355505962258398500069315963008162078855434242687277259919692308112215318571075811753033634163906311801642754335401873242644717 (220 digits) Run 229 out of 1200: Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:3354901359 Step 1 took 4739ms Step 2 took 2328ms ********** Factor found in step 2: 114694419815869826851954419776197573 Found prime factor of 36 digits: 114694419815869826851954419776197573 Prime cofactor 14021700660032992667943356434446074338872920289627362673694328443930471003467189066805160805897559520671594658575010544887874597934084445746888472576263888026630788259252550018597118729 has 185 digits``` `GMP-ECM 7.0.4` ```Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6229 / 902Eric JeancolasApril 18, 2021 08:28:35 UTC 2021 年 4 月 18 日 (日) 17 時 28 分 35 秒 (日本時間)

## 82×10252+179

### c252

composite cofactor 合成数の残り `828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828283<252>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 22, 2021 04:09:11 UTC 2021 年 4 月 22 日 (木) 13 時 9 分 11 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 5, 2022 06:37:35 UTC 2022 年 3 月 5 日 (土) 15 時 37 分 35 秒 (日本時間)

## 82×10254+179

### c208

composite cofactor 合成数の残り `7963451583474244525116274144583521867791178778783434843585880000135968597661811811280214074554582475966012555350985913895198284633094326452162830295416920006680712427646059837836817791043706895440615028970099<208>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 22, 2021 04:09:27 UTC 2021 年 4 月 22 日 (木) 13 時 9 分 27 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 17, 2022 19:20:08 UTC 2022 年 2 月 18 日 (金) 4 時 20 分 8 秒 (日本時間)

## 82×10255+179

### c151

name 名前 Dmitry Domanov January 13, 2021 10:40:44 UTC 2021 年 1 月 13 日 (水) 19 時 40 分 44 秒 (日本時間) `2479941896179180867958288060633893109381163061730970516303703701554034349065380850199497565294240410725401744847835489707179746217388820598609033276123<151>` ```51838398424763648519836504670204911<35> 18942212620584591932234717971703557305381323<44> 2525568912876250430662641975452551690509873136562993806201724121822573791<73>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1544755827 Step 1 took 6778ms ********** Factor found in step 1: 51838398424763648519836504670204911 Found prime factor of 35 digits: 51838398424763648519836504670204911 Composite cofactor 47839863335640618616748595118763832489903620505132020437764334741852759758878393335345793350886539812865342560705493 has 116 digits NFS on c116: 01/12/21 23:00:43 v1.34.5 @ 10464, nfs: commencing nfs on c116: 47839863335640618616748595118763832489903620505132020437764334741852759758878393335345793350886539812865342560705493 01/12/21 23:00:43 v1.34.5 @ 10464, nfs: commencing poly selection with 2 threads 01/12/21 23:00:43 v1.34.5 @ 10464, nfs: setting deadline of 4050 seconds 01/13/21 00:07:33 v1.34.5 @ 10464, nfs: completed 68 ranges of size 250 in 4009.7383 seconds 01/13/21 00:07:33 v1.34.5 @ 10464, nfs: best poly = # norm 5.166411e-11 alpha -6.677198 e 4.876e-10 rroots 5 01/13/21 00:07:33 v1.34.5 @ 10464, nfs: commencing lattice sieving with 2 threads 01/13/21 00:27:50 v1.34.5 @ 10464, nfs: commencing lattice sieving with 2 threads 01/13/21 00:47:36 v1.34.5 @ 10464, nfs: commencing lattice sieving with 2 threads 01/13/21 01:10:41 v1.34.5 @ 10464, nfs: commencing lattice sieving with 2 threads 01/13/21 01:34:51 v1.34.5 @ 10464, nfs: commencing lattice sieving with 2 threads 01/13/21 01:57:30 v1.34.5 @ 10464, nfs: commencing lattice sieving with 2 threads 01/13/21 02:17:55 v1.34.5 @ 10464, nfs: commencing lattice sieving with 2 threads 01/13/21 02:37:01 v1.34.5 @ 10464, nfs: commencing lattice sieving with 2 threads 01/13/21 02:56:31 v1.34.5 @ 10464, nfs: commencing lattice sieving with 2 threads 01/13/21 03:15:46 v1.34.5 @ 10464, nfs: commencing lattice sieving with 2 threads 01/13/21 03:34:29 v1.34.5 @ 10464, nfs: commencing lattice sieving with 2 threads 01/13/21 03:52:03 v1.34.5 @ 10464, nfs: commencing lattice sieving with 2 threads 01/13/21 04:11:03 v1.34.5 @ 10464, nfs: commencing lattice sieving with 2 threads 01/13/21 04:30:23 v1.34.5 @ 10464, nfs: commencing lattice sieving with 2 threads 01/13/21 04:50:10 v1.34.5 @ 10464, nfs: commencing lattice sieving with 2 threads 01/13/21 05:10:44 v1.34.5 @ 10464, nfs: commencing lattice sieving with 2 threads 01/13/21 05:32:38 v1.34.5 @ 10464, nfs: commencing lattice sieving with 2 threads 01/13/21 05:53:08 v1.34.5 @ 10464, nfs: commencing lattice sieving with 2 threads 01/13/21 06:13:54 v1.34.5 @ 10464, nfs: commencing lattice sieving with 2 threads 01/13/21 06:34:48 v1.34.5 @ 10464, nfs: commencing lattice sieving with 2 threads 01/13/21 06:54:49 v1.34.5 @ 10464, nfs: commencing lattice sieving with 2 threads 01/13/21 07:16:12 v1.34.5 @ 10464, nfs: commencing lattice sieving with 2 threads 01/13/21 07:37:48 v1.34.5 @ 10464, nfs: commencing lattice sieving with 2 threads 01/13/21 08:00:39 v1.34.5 @ 10464, nfs: commencing lattice sieving with 2 threads 01/13/21 08:21:56 v1.34.5 @ 10464, nfs: commencing lattice sieving with 2 threads 01/13/21 08:43:28 v1.34.5 @ 10464, nfs: commencing lattice sieving with 2 threads 01/13/21 09:05:38 v1.34.5 @ 10464, nfs: commencing lattice sieving with 2 threads 01/13/21 09:26:25 v1.34.5 @ 10464, nfs: commencing lattice sieving with 2 threads 01/13/21 09:47:20 v1.34.5 @ 10464, nfs: commencing msieve filtering 01/13/21 09:51:22 v1.34.5 @ 10464, nfs: commencing msieve linear algebra 01/13/21 10:26:16 v1.34.5 @ 10464, nfs: commencing msieve sqrt 01/13/21 10:34:34 v1.34.5 @ 10464, prp73 = 2525568912876250430662641975452551690509873136562993806201724121822573791 01/13/21 10:34:34 v1.34.5 @ 10464, prp44 = 18942212620584591932234717971703557305381323 01/13/21 10:34:34 v1.34.5 @ 10464, NFS elapsed time = 41631.0510 seconds. Wed Jan 13 09:47:20 2021 commencing relation filtering Wed Jan 13 09:47:20 2021 estimated available RAM is 1839.2 MB Wed Jan 13 09:47:20 2021 commencing duplicate removal, pass 1 Wed Jan 13 09:48:37 2021 found 763375 hash collisions in 10103529 relations Wed Jan 13 09:48:53 2021 added 62786 free relations Wed Jan 13 09:48:53 2021 commencing duplicate removal, pass 2 Wed Jan 13 09:48:58 2021 found 472173 duplicates and 9694142 unique relations Wed Jan 13 09:48:58 2021 memory use: 32.6 MB Wed Jan 13 09:48:58 2021 reading ideals above 100000 Wed Jan 13 09:48:58 2021 commencing singleton removal, initial pass Wed Jan 13 09:50:36 2021 memory use: 344.5 MB Wed Jan 13 09:50:36 2021 reading all ideals from disk Wed Jan 13 09:50:38 2021 memory use: 337.6 MB Wed Jan 13 09:50:38 2021 keeping 10660686 ideals with weight <= 200, target excess is 49758 Wed Jan 13 09:50:39 2021 commencing in-memory singleton removal Wed Jan 13 09:50:40 2021 begin with 9694142 relations and 10660686 unique ideals Wed Jan 13 09:50:46 2021 reduce to 3449677 relations and 3244680 ideals in 24 passes Wed Jan 13 09:50:46 2021 max relations containing the same ideal: 106 Wed Jan 13 09:50:48 2021 removing 615340 relations and 541701 ideals in 73639 cliques Wed Jan 13 09:50:48 2021 commencing in-memory singleton removal Wed Jan 13 09:50:48 2021 begin with 2834337 relations and 3244680 unique ideals Wed Jan 13 09:50:50 2021 reduce to 2740199 relations and 2606170 ideals in 11 passes Wed Jan 13 09:50:50 2021 max relations containing the same ideal: 87 Wed Jan 13 09:50:51 2021 removing 459924 relations and 386285 ideals in 73639 cliques Wed Jan 13 09:50:51 2021 commencing in-memory singleton removal Wed Jan 13 09:50:51 2021 begin with 2280275 relations and 2606170 unique ideals Wed Jan 13 09:50:52 2021 reduce to 2212738 relations and 2150463 ideals in 9 passes Wed Jan 13 09:50:52 2021 max relations containing the same ideal: 79 Wed Jan 13 09:50:53 2021 relations with 0 large ideals: 145 Wed Jan 13 09:50:53 2021 relations with 1 large ideals: 526 Wed Jan 13 09:50:53 2021 relations with 2 large ideals: 8087 Wed Jan 13 09:50:53 2021 relations with 3 large ideals: 61421 Wed Jan 13 09:50:53 2021 relations with 4 large ideals: 241698 Wed Jan 13 09:50:53 2021 relations with 5 large ideals: 528120 Wed Jan 13 09:50:53 2021 relations with 6 large ideals: 664451 Wed Jan 13 09:50:53 2021 relations with 7+ large ideals: 708290 Wed Jan 13 09:50:53 2021 commencing 2-way merge Wed Jan 13 09:50:54 2021 reduce to 1233343 relation sets and 1171070 unique ideals Wed Jan 13 09:50:54 2021 ignored 2 oversize relation sets Wed Jan 13 09:50:54 2021 commencing full merge Wed Jan 13 09:51:14 2021 memory use: 130.6 MB Wed Jan 13 09:51:14 2021 found 605779 cycles, need 595270 Wed Jan 13 09:51:14 2021 weight of 595270 cycles is about 41702474 (70.06/cycle) Wed Jan 13 09:51:14 2021 distribution of cycle lengths: Wed Jan 13 09:51:14 2021 1 relations: 68062 Wed Jan 13 09:51:14 2021 2 relations: 66400 Wed Jan 13 09:51:14 2021 3 relations: 65852 Wed Jan 13 09:51:14 2021 4 relations: 59194 Wed Jan 13 09:51:14 2021 5 relations: 54619 Wed Jan 13 09:51:14 2021 6 relations: 46593 Wed Jan 13 09:51:14 2021 7 relations: 41629 Wed Jan 13 09:51:14 2021 8 relations: 36223 Wed Jan 13 09:51:14 2021 9 relations: 31028 Wed Jan 13 09:51:14 2021 10+ relations: 125670 Wed Jan 13 09:51:14 2021 heaviest cycle: 22 relations Wed Jan 13 09:51:14 2021 commencing cycle optimization Wed Jan 13 09:51:15 2021 start with 3666342 relations Wed Jan 13 09:51:20 2021 pruned 71987 relations Wed Jan 13 09:51:20 2021 memory use: 124.7 MB Wed Jan 13 09:51:20 2021 distribution of cycle lengths: Wed Jan 13 09:51:20 2021 1 relations: 68062 Wed Jan 13 09:51:20 2021 2 relations: 67773 Wed Jan 13 09:51:20 2021 3 relations: 67680 Wed Jan 13 09:51:20 2021 4 relations: 60425 Wed Jan 13 09:51:20 2021 5 relations: 55451 Wed Jan 13 09:51:20 2021 6 relations: 47255 Wed Jan 13 09:51:20 2021 7 relations: 42025 Wed Jan 13 09:51:20 2021 8 relations: 36260 Wed Jan 13 09:51:20 2021 9 relations: 30761 Wed Jan 13 09:51:20 2021 10+ relations: 119578 Wed Jan 13 09:51:20 2021 heaviest cycle: 22 relations Wed Jan 13 09:51:22 2021 RelProcTime: 242 Wed Jan 13 09:51:22 2021 Wed Jan 13 09:51:22 2021 commencing linear algebra Wed Jan 13 09:51:22 2021 read 595270 cycles Wed Jan 13 09:51:23 2021 cycles contain 2111287 unique relations Wed Jan 13 09:51:40 2021 read 2111287 relations Wed Jan 13 09:51:42 2021 using 20 quadratic characters above 134215814 Wed Jan 13 09:51:53 2021 building initial matrix Wed Jan 13 09:52:13 2021 memory use: 260.1 MB Wed Jan 13 09:52:14 2021 read 595270 cycles Wed Jan 13 09:52:14 2021 matrix is 595089 x 595270 (178.9 MB) with weight 57027013 (95.80/col) Wed Jan 13 09:52:14 2021 sparse part has weight 40361384 (67.80/col) Wed Jan 13 09:52:19 2021 filtering completed in 2 passes Wed Jan 13 09:52:19 2021 matrix is 593260 x 593441 (178.8 MB) with weight 56946587 (95.96/col) Wed Jan 13 09:52:19 2021 sparse part has weight 40335026 (67.97/col) Wed Jan 13 09:52:21 2021 matrix starts at (0, 0) Wed Jan 13 09:52:21 2021 matrix is 593260 x 593441 (178.8 MB) with weight 56946587 (95.96/col) Wed Jan 13 09:52:21 2021 sparse part has weight 40335026 (67.97/col) Wed Jan 13 09:52:21 2021 saving the first 48 matrix rows for later Wed Jan 13 09:52:21 2021 matrix includes 64 packed rows Wed Jan 13 09:52:21 2021 matrix is 593212 x 593441 (173.0 MB) with weight 45357844 (76.43/col) Wed Jan 13 09:52:21 2021 sparse part has weight 39408434 (66.41/col) Wed Jan 13 09:52:21 2021 using block size 65536 for processor cache size 16384 kB Wed Jan 13 09:52:24 2021 commencing Lanczos iteration (2 threads) Wed Jan 13 09:52:24 2021 memory use: 138.2 MB Wed Jan 13 09:52:33 2021 linear algebra at 0.5%, ETA 0h29m Wed Jan 13 10:26:15 2021 lanczos halted after 9384 iterations (dim = 593212) Wed Jan 13 10:26:16 2021 recovered 30 nontrivial dependencies Wed Jan 13 10:26:16 2021 BLanczosTime: 2094 Wed Jan 13 10:26:16 2021 Wed Jan 13 10:26:16 2021 commencing square root phase Wed Jan 13 10:26:16 2021 reading relations for dependency 1 Wed Jan 13 10:26:16 2021 read 296412 cycles Wed Jan 13 10:26:16 2021 cycles contain 1054874 unique relations Wed Jan 13 10:26:27 2021 read 1054874 relations Wed Jan 13 10:26:31 2021 multiplying 1054874 relations Wed Jan 13 10:27:18 2021 multiply complete, coefficients have about 45.63 million bits Wed Jan 13 10:27:18 2021 initial square root is modulo 3557831 Wed Jan 13 10:28:21 2021 GCD is N, no factor found Wed Jan 13 10:28:21 2021 reading relations for dependency 2 Wed Jan 13 10:28:21 2021 read 296612 cycles Wed Jan 13 10:28:21 2021 cycles contain 1053602 unique relations Wed Jan 13 10:28:32 2021 read 1053602 relations Wed Jan 13 10:28:36 2021 multiplying 1053602 relations Wed Jan 13 10:29:25 2021 multiply complete, coefficients have about 45.57 million bits Wed Jan 13 10:29:25 2021 initial square root is modulo 3492407 Wed Jan 13 10:30:27 2021 GCD is 1, no factor found Wed Jan 13 10:30:27 2021 reading relations for dependency 3 Wed Jan 13 10:30:27 2021 read 296397 cycles Wed Jan 13 10:30:28 2021 cycles contain 1053444 unique relations Wed Jan 13 10:30:38 2021 read 1053444 relations Wed Jan 13 10:30:42 2021 multiplying 1053444 relations Wed Jan 13 10:31:29 2021 multiply complete, coefficients have about 45.57 million bits Wed Jan 13 10:31:29 2021 initial square root is modulo 3487751 Wed Jan 13 10:32:30 2021 GCD is N, no factor found Wed Jan 13 10:32:30 2021 reading relations for dependency 4 Wed Jan 13 10:32:30 2021 read 297217 cycles Wed Jan 13 10:32:31 2021 cycles contain 1056134 unique relations Wed Jan 13 10:32:41 2021 read 1056134 relations Wed Jan 13 10:32:45 2021 multiplying 1056134 relations Wed Jan 13 10:33:31 2021 multiply complete, coefficients have about 45.68 million bits Wed Jan 13 10:33:31 2021 initial square root is modulo 3623369 Wed Jan 13 10:34:34 2021 sqrtTime: 498``` `YAFU`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200 / 2350Dmitry DomanovJanuary 12, 2021 15:40:02 UTC 2021 年 1 月 13 日 (水) 0 時 40 分 2 秒 (日本時間)

## 82×10258+179

### c233

composite cofactor 合成数の残り `30590455007877915426552832192440864559384284420235785633142232666485247180633141067413958632483362062119062392654644710053352904574260959783724781800985671654250178432527536841401769665267005276929856891608489413092383734051869714631<233>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 22, 2021 04:09:44 UTC 2021 年 4 月 22 日 (木) 13 時 9 分 44 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 16, 2022 08:29:01 UTC 2022 年 2 月 16 日 (水) 17 時 29 分 1 秒 (日本時間)

## 82×10259+179

### c248

composite cofactor 合成数の残り `81688122745108352978631480896532942732511907412536491616066353177000977778979885129601915397305257224943947348662421597747980915817453707676133480739294326175936643045487708277013380710890171866157089941393192882621952432310052860682717756322457237<248>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 22, 2021 04:09:57 UTC 2021 年 4 月 22 日 (木) 13 時 9 分 57 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 21, 2022 13:30:57 UTC 2022 年 2 月 21 日 (月) 22 時 30 分 57 秒 (日本時間)

## 82×10260+179

### c234

composite cofactor 合成数の残り `632918421823894620645068712503201059920706876086308906228242918710572777222234941917828191081318913996835113766616876765147888435807880624993221958106897557305075866814148810810255791756156397636670057415727114171297881378350423703813<234>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 22, 2021 04:10:12 UTC 2021 年 4 月 22 日 (木) 13 時 10 分 12 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 19, 2022 17:29:07 UTC 2022 年 2 月 20 日 (日) 2 時 29 分 7 秒 (日本時間)

## 82×10261+179

### c213

composite cofactor 合成数の残り `647253166519703666662516288353960888601418996975741808859039356597373140736898789236452695276969367385824555828861305442439739428897186282778250228611350627801844058762932285631794479043103799287645416857253522293<213>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 22, 2021 04:10:28 UTC 2021 年 4 月 22 日 (木) 13 時 10 分 28 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 18, 2022 06:33:36 UTC 2022 年 2 月 18 日 (金) 15 時 33 分 36 秒 (日本時間)

## 82×10262+179

### c214

composite cofactor 合成数の残り `4623057886020605447090352754771393076083372614338386602271832208717429770979614022855029829900958930609674229304201630390558469873349384424338394524284567012147278362441207176273543313889876145320661176832510207067<214>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 22, 2021 04:10:46 UTC 2021 年 4 月 22 日 (木) 13 時 10 分 46 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 19, 2022 05:19:56 UTC 2022 年 2 月 19 日 (土) 14 時 19 分 56 秒 (日本時間)

## 82×10263+179

### c262

composite cofactor 合成数の残り `3026947212993724621631598375784422296050203026947212993724621631598375784422296050203026947212993724621631598375784422296050203026947212993724621631598375784422296050203026947212993724621631598375784422296050203026947212993724621631598375784422296050203026947213<262>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 22, 2021 04:11:01 UTC 2021 年 4 月 22 日 (木) 13 時 11 分 1 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 5, 2022 09:00:23 UTC 2022 年 3 月 5 日 (土) 18 時 0 分 23 秒 (日本時間)

## 82×10265+179

### c248

composite cofactor 合成数の残り `17341624023139679421360685790267517114130966812821160003431937484773608155212647746286879315041443008212244746287562653814587558841869942549179142334670434332527922244828722748118448209455434390863678950873260463146507654195896169998578573428461863<248>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 22, 2021 04:11:14 UTC 2021 年 4 月 22 日 (木) 13 時 11 分 14 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 20, 2022 17:24:57 UTC 2022 年 2 月 21 日 (月) 2 時 24 分 57 秒 (日本時間)

## 82×10267+179

### c243

composite cofactor 合成数の残り `245870808564009131319980098855085296305327890486314902873041339491423329091766190215853845069300614616344069526985665384353806667479240773615606837996988483891193689809819561298638055570404784692725228143328680404125830670458082501836430595053<243>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 22, 2021 04:11:30 UTC 2021 年 4 月 22 日 (木) 13 時 11 分 30 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 21, 2022 08:58:55 UTC 2022 年 2 月 21 日 (月) 17 時 58 分 55 秒 (日本時間)

## 82×10268+179

### c210

composite cofactor 合成数の残り `263463326662418158207060202918204620589642718812021789535499892612842712045481047273349290216560302991372392230760173205701016239434052251848759051205373006392636798068555969481383030213472343286501460088669963<210>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 22, 2021 04:11:48 UTC 2021 年 4 月 22 日 (木) 13 時 11 分 48 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 20, 2022 00:34:41 UTC 2022 年 2 月 20 日 (日) 9 時 34 分 41 秒 (日本時間)

## 82×10270+179

### c254

composite cofactor 合成数の残り `27402197051908391753040404817462304922615025299911644889560466269147267750867846143045238318801286795947327534381134317057544266033211978708123395221416710774087872698251170290136984389182341385958017885730183495365047155332882727034971977336490439230971<254>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 22, 2021 04:12:02 UTC 2021 年 4 月 22 日 (木) 13 時 12 分 2 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 4, 2022 21:06:24 UTC 2022 年 3 月 5 日 (土) 6 時 6 分 24 秒 (日本時間)

## 82×10274+179

### c258

composite cofactor 合成数の残り `411256522943769284111096414592282409963779621077827741771416264249345830409816794073175170505590264625677969632238046361154428764610600035729986852030805815165746834008043914587219446112815244766075799565572982761509153342256075460254137294776414686604204961<258>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 22, 2021 04:08:02 UTC 2021 年 4 月 22 日 (木) 13 時 8 分 2 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 6, 2022 18:37:16 UTC 2022 年 3 月 7 日 (月) 3 時 37 分 16 秒 (日本時間)

## 82×10275+179

### c239

composite cofactor 合成数の残り `44319885372486861013796781259414316103280018075859355758366006411636405017197672646487451500611640930464678663203135382346441298686494498773736109825275365316163402009209323843856550615850505009191662851874973919103240265114169695182048579<239>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 22, 2021 04:07:47 UTC 2021 年 4 月 22 日 (木) 13 時 7 分 47 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 20, 2022 15:11:55 UTC 2022 年 2 月 21 日 (月) 0 時 11 分 55 秒 (日本時間)

## 82×10276+179

### c264

name 名前 Marlon Trifunovic February 16, 2022 22:02:28 UTC 2022 年 2 月 17 日 (木) 7 時 2 分 28 秒 (日本時間) `288062329375863535308041781885165892542923399964332021528869426757367370200165962963245668680816261093501791995168849118790532365349882632249756311588782315239369661742829541457391861191656185125243567583043730157629339882785027138333082702295160188487134679814297<264>` `2185316075052534909509244955732263433<37>` `131817238094008221960758908946969227613045204945980481483033948708729244843542370036491379444399661787437087587710313632010780555800625564731702095801428321409969485709169135982258138071303480644484641107802023154343320256609809<228>` ```Run 274 out of 587: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3757871309 Step 1 took 26378ms ********** Factor found in step 1: 2185316075052534909509244955732263433 Found prime factor of 37 digits: 2185316075052534909509244955732263433 Composite cofactor 131817238094008221960758908946969227613045204945980481483033948708729244843542370036491379444399661787437087587710313632010780555800625564731702095801428321409969485709169135982258138071303480644484641107802023154343320256609809 has 228 digits``` `GMP-ECM 7.0.5-dev` `Intel Xeon CPU E5-2695 v4 @ 2.10GHz`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 22, 2021 04:07:34 UTC 2021 年 4 月 22 日 (木) 13 時 7 分 34 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 24, 2022 01:03:42 UTC 2022 年 2 月 24 日 (木) 10 時 3 分 42 秒 (日本時間)

## 82×10278+179

### c190

composite cofactor 合成数の残り `2459830018002333671623799486444951519078034139886680010342715903203624942991047126945853063123825737143829782706815835090439585598427161125161263269149808171959032187222862673964394593630057<190>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e635501200Dmitry DomanovFebruary 5, 2021 06:00:58 UTC 2021 年 2 月 5 日 (金) 15 時 0 分 58 秒 (日本時間)
2350Ignacio SantosMarch 3, 2021 22:26:12 UTC 2021 年 3 月 4 日 (木) 7 時 26 分 12 秒 (日本時間)
4511e64480Ignacio SantosApril 5, 2021 20:16:49 UTC 2021 年 4 月 6 日 (火) 5 時 16 分 49 秒 (日本時間)

## 82×10279+179

### c260

composite cofactor 合成数の残り `61553439315911566580789813862106958920799597125584967346973510028392289440727976738351613914056714993395962588690204745532003688990339535484235128812691025136059992012830408444795577118423153321033195901850275474976302425086222875233262893876583639975388535761<260>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 22, 2021 04:07:00 UTC 2021 年 4 月 22 日 (木) 13 時 7 分 0 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 2, 2022 03:36:47 UTC 2022 年 3 月 2 日 (水) 12 時 36 分 47 秒 (日本時間)

## 82×10280+179

### c227

composite cofactor 合成数の残り `56824038128566186815541520466337356506039637211955540156395655196545351229429761266698472857448553556383654514384703716983392254458846853236271242611245880423992174127479839157910452339565891016459050759643062095894773430753727<227>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 22, 2021 04:06:44 UTC 2021 年 4 月 22 日 (木) 13 時 6 分 44 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 23, 2022 23:59:01 UTC 2022 年 2 月 24 日 (木) 8 時 59 分 1 秒 (日本時間)

## 82×10283+179

### c218

name 名前 Marlon Trifunovic February 28, 2022 23:32:49 UTC 2022 年 3 月 1 日 (火) 8 時 32 分 49 秒 (日本時間) `13012798119450080815603833378618822873557596123376260929419029902416323239103836615487311138131157461837327662795897816111017113907135325565350251400451281574068682762860777441505983012509866404742845581135029236348517<218>` `63719842770591909863478397494611629<35>` `204218930142366414011532264794272971721681624850730833055955054443972207660320605909766789215920300877536426886058513755659368479615726294987361841043803272612410930879426692439512473<183>` ```Run 351 out of 587: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:227151958 Step 1 took 20697ms Step 2 took 8178ms ********** Factor found in step 2: 63719842770591909863478397494611629 Found prime factor of 35 digits: 63719842770591909863478397494611629 Composite cofactor 204218930142366414011532264794272971721681624850730833055955054443972207660320605909766789215920300877536426886058513755659368479615726294987361841043803272612410930879426692439512473 has 183 digits``` `GMP-ECM 7.0.5-dev` `Intel Xeon CPU E5-2695 v4 @ 2.10GHz`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 22, 2021 04:06:24 UTC 2021 年 4 月 22 日 (木) 13 時 6 分 24 秒 (日本時間)
403e62937587Marlon TrifunovicFebruary 22, 2022 04:16:14 UTC 2022 年 2 月 22 日 (火) 13 時 16 分 14 秒 (日本時間)
2350Ignacio SantosMarch 1, 2022 14:20:46 UTC 2022 年 3 月 1 日 (火) 23 時 20 分 46 秒 (日本時間)
4511e64480Ignacio SantosMarch 7, 2022 17:41:03 UTC 2022 年 3 月 8 日 (火) 2 時 41 分 3 秒 (日本時間)

## 82×10284+179

### c265

composite cofactor 合成数の残り `6094537281046379132159924725498167338352687454978166845983387593287581206172865027667782096870112836258588514471625899279393540842118687474776639407554547394494510162117014533329916958247302942914457574493898363615974842854101438581364003464124785885152690062784117<265>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 22, 2021 04:06:10 UTC 2021 年 4 月 22 日 (木) 13 時 6 分 10 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 5, 2022 19:43:18 UTC 2022 年 3 月 6 日 (日) 4 時 43 分 18 秒 (日本時間)

## 82×10285+179

### c278

composite cofactor 合成数の残り `69747036540066719725959198267715648827280855191822803679790024947417730416784108555526106145236936896566874027243078495685470859832305788094514457582940383845551699573628965640109964504703910684272176204871188999702215027492185140130017202995988037331924388758512539689136488487<278>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 22, 2021 04:05:51 UTC 2021 年 4 月 22 日 (木) 13 時 5 分 51 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 23, 2022 23:59:05 UTC 2022 年 2 月 24 日 (木) 8 時 59 分 5 秒 (日本時間)

## 82×10286+179

### c263

composite cofactor 合成数の残り `35705953028846742416392942396396711203913811662122571379195328878948761098521444421575025741456068232610715503877220108329193537557839642956194299792927474546919212147890158084338587188964520547640308218244235066309045465638163465686571269440249850037311841016693<263>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 22, 2021 04:05:33 UTC 2021 年 4 月 22 日 (木) 13 時 5 分 33 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 4, 2022 23:01:51 UTC 2022 年 3 月 5 日 (土) 8 時 1 分 51 秒 (日本時間)

## 82×10287+179

### c249

name 名前 Eric Jeancolas April 21, 2021 02:41:45 UTC 2021 年 4 月 21 日 (水) 11 時 41 分 45 秒 (日本時間) `166439660094832904769487592829366715066406027303027084935787169351108089055788259949537486141747046992937826868761920670107354345717797628928363125509122498718157593402662247493138388668131562981646955126989775380775809795787566325514774214967878511<249>` ```261511160952766775027669756174472179<36> 636453371582464314224203326562730082524132388645322441808548371861850365880681132588292170950501768869092194297878670090765467853756032937488445960651266935296895712771566385370854072683548253127324555619035209109<213>``` ```GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 166439660094832904769487592829366715066406027303027084935787169351108089055788259949537486141747046992937826868761920670107354345717797628928363125509122498718157593402662247493138388668131562981646955126989775380775809795787566325514774214967878511 (249 digits) Run 70 out of 1200: Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:3629727049 Step 1 took 4738ms Step 2 took 2359ms ********** Factor found in step 2: 261511160952766775027669756174472179 Found prime factor of 36 digits: 261511160952766775027669756174472179 Prime cofactor 636453371582464314224203326562730082524132388645322441808548371861850365880681132588292170950501768869092194297878670090765467853756032937488445960651266935296895712771566385370854072683548253127324555619035209109 has 213 digits``` `GMP-ECM 7.0.4` ```Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40 / 147--
351e670 / 902Eric JeancolasApril 21, 2021 02:40:07 UTC 2021 年 4 月 21 日 (水) 11 時 40 分 7 秒 (日本時間)

## 82×10288+179

### c279

composite cofactor 合成数の残り `847379918518039236991970900412095221598501939851039228591656088409529400633060070764604197006477510561097358064246338433702429308824243929776125132557349622728401266298124380581807346937461527218833182402863679727327140110436775916823518443764126076228520472858071650149962379949<279>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 22, 2021 04:05:14 UTC 2021 年 4 月 22 日 (木) 13 時 5 分 14 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 8, 2022 17:45:05 UTC 2022 年 3 月 9 日 (水) 2 時 45 分 5 秒 (日本時間)

## 82×10289+179

### c254

name 名前 Marlon Trifunovic April 15, 2022 00:57:01 UTC 2022 年 4 月 15 日 (金) 9 時 57 分 1 秒 (日本時間) `57041354452316965262468998505860730145795597286765432095783479941867206440718414258713866305386471365716239679602465588035052628872024264970614764474711767607633873207022413683892653142131102173675525346733876629649296453079747628852414437393870169505049<254>` ```8809190394247747535039455850102830847<37> 6475209627613907153607140004378494692146188738993111542726435668004122221804110570182747050745513365818318051972815817115275964599029384486133010063639627478790483304102444387295189032852848498593652294054504109908967<217>``` ```Run 31 out of 587: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:490420297 Step 1 took 26741ms Step 2 took 5130ms ********** Factor found in step 2: 8809190394247747535039455850102830847 Found prime factor of 37 digits: 8809190394247747535039455850102830847 Prime cofactor 6475209627613907153607140004378494692146188738993111542726435668004122221804110570182747050745513365818318051972815817115275964599029384486133010063639627478790483304102444387295189032852848498593652294054504109908967 has 217 digits``` `GMP-ECM 7.0.5-dev` `Intel Xeon CPU E5-2695 v4 @ 2.10GHz`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 22, 2021 04:04:55 UTC 2021 年 4 月 22 日 (木) 13 時 4 分 55 秒 (日本時間)

## 82×10290+179

### c221

composite cofactor 合成数の残り `15537309624252464752153743599580388758699303330364214166927302035770174290949954672601840711470683382970544473470368820995530192063568065639725337339840831898388736088702820847540177374677006058814233854882248232285851837<221>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 22, 2021 04:04:39 UTC 2021 年 4 月 22 日 (木) 13 時 4 分 39 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 21, 2022 10:26:23 UTC 2022 年 2 月 21 日 (月) 19 時 26 分 23 秒 (日本時間)

## 82×10291+179

### c271

composite cofactor 合成数の残り `6076228459829312803055288702650707202775650450396413811021882753291282644223281096467436571860821335195383997028478020604591818040198785630660186145644864962237838091183272720674949119465499104496948144393112196115633419969165529324191340469349736421571440584031469959913<271>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 22, 2021 04:04:23 UTC 2021 年 4 月 22 日 (木) 13 時 4 分 23 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 8, 2022 17:48:47 UTC 2022 年 3 月 9 日 (水) 2 時 48 分 47 秒 (日本時間)

## 82×10292+179

### c263

composite cofactor 合成数の残り `29965355339583843376782310992422146022002714826141242279108585176953916267095035392231569016234040364111776633418138754258205085025503114595886772911783242563012520117805023295382409043855542175283156033381836441815207843713226305920158742029856382112243309954851<263>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 22, 2021 04:04:07 UTC 2021 年 4 月 22 日 (木) 13 時 4 分 7 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 6, 2022 11:02:44 UTC 2022 年 3 月 6 日 (日) 20 時 2 分 44 秒 (日本時間)

## 82×10293+179

### c238

composite cofactor 合成数の残り `9184899419009681521647158916135797106704044607142437185638752301795184284891728928142205346084906047650340833925101015594857991365333875995769489746653405435652431765356479135828322502607495151031630577249997347082434843809487123188613453<238>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 22, 2021 04:03:50 UTC 2021 年 4 月 22 日 (木) 13 時 3 分 50 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 21, 2022 22:01:00 UTC 2022 年 2 月 22 日 (火) 7 時 1 分 0 秒 (日本時間)

## 82×10294+179

### c265

composite cofactor 合成数の残り `3016364515610368745448267108831809544622952573904155699164437144314408370248674588241940663130392875554164889893316530284917597401144799392659997964944210410041523476450342616154398296561307855888675643018805678284381900283957987414820825504590464161242937193411457<265>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 22, 2021 04:02:56 UTC 2021 年 4 月 22 日 (木) 13 時 2 分 56 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 6, 2022 00:10:50 UTC 2022 年 3 月 6 日 (日) 9 時 10 分 50 秒 (日本時間)

## 82×10295+179

### c296

name 名前 Eric Jeancolas April 22, 2021 04:01:23 UTC 2021 年 4 月 22 日 (木) 13 時 1 分 23 秒 (日本時間) `10123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123457<296>` `3090771348040488661925113600322945467<37>` `3275381984028551618466898292744489214944612105446275046101886738274287857964312434351879149062225740062529766090294483698715625819870557318283435789193402052513779446457776090160133464535406819703437626522772004140744995196841829441661714975110796625440225971<259>` ```GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 10123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123457 (296 digits) Run 30 out of 1200: Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:2832424327 Step 1 took 12422ms Step 2 took 6663ms ********** Factor found in step 2: 3090771348040488661925113600322945467 Found prime factor of 37 digits: 3090771348040488661925113600322945467 Composite cofactor 3275381984028551618466898292744489214944612105446275046101886738274287857964312434351879149062225740062529766090294483698715625819870557318283435789193402052513779446457776090160133464535406819703437626522772004140744995196841829441661714975110796625440225971 has 259 digits``` `GMP-ECM 7.0.4` ```Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6123030Eric JeancolasApril 22, 2021 03:59:34 UTC 2021 年 4 月 22 日 (木) 12 時 59 分 34 秒 (日本時間)
1200Eric JeancolasApril 23, 2021 07:46:10 UTC 2021 年 4 月 23 日 (金) 16 時 46 分 10 秒 (日本時間)
403e6584 / 2015Marlon TrifunovicMarch 5, 2022 13:28:06 UTC 2022 年 3 月 5 日 (土) 22 時 28 分 6 秒 (日本時間)

## 82×10296+179

### c276

composite cofactor 合成数の残り `987109324391064810936806472199091513905627051425677038697195521955748244106818205726563112331883146988688660573189527166460681833978680860025906129265607378895436971956055205695116890017711356106060552773862088858937591645854415108110027452377780599509064651308033544551451591<276>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 23, 2021 07:46:24 UTC 2021 年 4 月 23 日 (金) 16 時 46 分 24 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 9, 2022 09:30:52 UTC 2022 年 3 月 9 日 (水) 18 時 30 分 52 秒 (日本時間)

## 82×10297+179

### c285

composite cofactor 合成数の残り `152165683720958861215829279631772535022094667604952115920668071379652410923109408602167127658203425226795912757711456550456982868291374400863733430681127110488329409246232340118794460992719303359980417413833296844822012863563684263933665956659891460400047821691119734654912111974393523<285>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 23, 2021 07:45:58 UTC 2021 年 4 月 23 日 (金) 16 時 45 分 58 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 9, 2022 05:35:30 UTC 2022 年 3 月 9 日 (水) 14 時 35 分 30 秒 (日本時間)

## 82×10299+179

### c243

composite cofactor 合成数の残り `287337618335628998445005869032415870587970217543016495707566459173649203249991828488054322205833660062895714385721159910619304376650761774276883816974401535945579434951914497951314732118751489742566184752601162423196419848643847522971806018653<243>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 23, 2021 07:45:44 UTC 2021 年 4 月 23 日 (金) 16 時 45 分 44 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 17, 2022 00:41:37 UTC 2022 年 2 月 17 日 (木) 9 時 41 分 37 秒 (日本時間)