## 11×10101-173

### c94

name 名前 Robert Backstrom November 28, 2008 16:09:28 UTC 2008 年 11 月 29 日 (土) 1 時 9 分 28 秒 (日本時間) `2639534688043797386351468599547047688969921324037439265596600743879904684674719306302256922857<94>` ```15362996616432738906443983605163<32> 171811187227657721764594149916169855418000979165505985718980539<63>``` ```GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM] Input number is 2639534688043797386351468599547047688969921324037439265596600743879904684674719306302256922857 (94 digits) Using B1=1200000, B2=1426326730, polynomial Dickson(6), sigma=1460276515 Step 1 took 7406ms Step 2 took 3875ms ********** Factor found in step 2: 15362996616432738906443983605163 Found probable prime factor of 32 digits: 15362996616432738906443983605163 Probable prime cofactor 171811187227657721764594149916169855418000979165505985718980539 has 63 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 28, 2008 02:00:00 UTC 2008 年 11 月 28 日 (金) 11 時 0 分 0 秒 (日本時間)

## 11×10109-173

### c108

name 名前 Erik Branger November 28, 2008 19:06:49 UTC 2008 年 11 月 29 日 (土) 4 時 6 分 49 秒 (日本時間) `355987055016181229773462783171521035598705501618122977346278317152103559870550161812297734627831715210355987<108>` ```55686128876513198408165347351459<32> 6392742002332402976749775654819971481286309835724565111795563996899029411793<76>``` ```Number: 36661_109 N=355987055016181229773462783171521035598705501618122977346278317152103559870550161812297734627831715210355987 ( 108 digits) SNFS difficulty: 111 digits. Divisors found: r1=55686128876513198408165347351459 r2=6392742002332402976749775654819971481286309835724565111795563996899029411793 Version: Total time: 1.33 hours. Scaled time: 1.04 units (timescale=0.784). Factorization parameters were as follows: n: 355987055016181229773462783171521035598705501618122977346278317152103559870550161812297734627831715210355987 m: 10000000000000000000000 deg: 5 c5: 11 c0: -170 skew: 1.73 type: snfs lss: 1 rlim: 500000 alim: 500000 lpbr: 25 lpba: 25 mfbr: 44 mfba: 44 rlambda: 2.2 alambda: 2.2 Factor base limits: 500000/500000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 44/44 Sieved rational special-q in [250000, 400001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 46578 x 46805 Total sieving time: 1.33 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,111,5,0,0,0,0,0,0,0,0,500000,500000,25,25,44,44,2.2,2.2,50000 total time: 1.33 hours. --------- CPU info (if available) ----------``` `GGNFS, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 28, 2008 02:00:00 UTC 2008 年 11 月 28 日 (金) 11 時 0 分 0 秒 (日本時間)

## 11×10110-173

### c98

name 名前 Erik Branger November 28, 2008 20:18:12 UTC 2008 年 11 月 29 日 (土) 5 時 18 分 12 秒 (日本時間) `60673278273181134471086551243482531992281681325714658104638326655668739103398066074480921786769627<98>` ```80031387200864474276826335774639<32> 758118538179302738564118749660544653553657027889141216006719903893<66>``` ```Number: 36661_110 N=60673278273181134471086551243482531992281681325714658104638326655668739103398066074480921786769627 ( 98 digits) SNFS difficulty: 111 digits. Divisors found: r1=80031387200864474276826335774639 r2=758118538179302738564118749660544653553657027889141216006719903893 Version: Total time: 0.92 hours. Scaled time: 0.72 units (timescale=0.792). Factorization parameters were as follows: n: 60673278273181134471086551243482531992281681325714658104638326655668739103398066074480921786769627 m: 10000000000000000000000 deg: 5 c5: 11 c0: -17 skew: 1.09 type: snfs lss: 1 rlim: 500000 alim: 500000 lpbr: 25 lpba: 25 mfbr: 44 mfba: 44 rlambda: 2.2 alambda: 2.2 Factor base limits: 500000/500000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 44/44 Sieved rational special-q in [250000, 350001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 49726 x 49945 Total sieving time: 0.92 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,111,5,0,0,0,0,0,0,0,0,500000,500000,25,25,44,44,2.2,2.2,50000 total time: 0.92 hours. --------- CPU info (if available) ----------``` `GGNFS, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 28, 2008 02:00:00 UTC 2008 年 11 月 28 日 (金) 11 時 0 分 0 秒 (日本時間)

## 11×10116-173

### c89

name 名前 Robert Backstrom November 28, 2008 17:52:32 UTC 2008 年 11 月 29 日 (土) 2 時 52 分 32 秒 (日本時間) `23739636546241623339183677581442267087364438127319553630046719804948907173444660052886089<89>` ```73977684816291194925607695803441513<35> 320902669571158779992693858038181395877039064352464353<54>``` ```Sat Nov 29 04:02:03 2008 Sat Nov 29 04:02:03 2008 Sat Nov 29 04:02:03 2008 Msieve v. 1.38 Sat Nov 29 04:02:03 2008 random seeds: 46a032e0 bae8cfdf Sat Nov 29 04:02:03 2008 factoring 23739636546241623339183677581442267087364438127319553630046719804948907173444660052886089 (89 digits) Sat Nov 29 04:02:04 2008 searching for 15-digit factors Sat Nov 29 04:02:04 2008 commencing quadratic sieve (89-digit input) Sat Nov 29 04:02:05 2008 using multiplier of 1 Sat Nov 29 04:02:05 2008 using 64kb Opteron sieve core Sat Nov 29 04:02:05 2008 sieve interval: 15 blocks of size 65536 Sat Nov 29 04:02:05 2008 processing polynomials in batches of 7 Sat Nov 29 04:02:05 2008 using a sieve bound of 1542239 (58667 primes) Sat Nov 29 04:02:05 2008 using large prime bound of 123379120 (26 bits) Sat Nov 29 04:02:05 2008 using double large prime bound of 366635860574400 (42-49 bits) Sat Nov 29 04:02:05 2008 using trial factoring cutoff of 49 bits Sat Nov 29 04:02:05 2008 polynomial 'A' values have 11 factors Sat Nov 29 04:46:12 2008 58992 relations (15923 full + 43069 combined from 620929 partial), need 58763 Sat Nov 29 04:46:12 2008 begin with 636852 relations Sat Nov 29 04:46:13 2008 reduce to 142375 relations in 12 passes Sat Nov 29 04:46:13 2008 attempting to read 142375 relations Sat Nov 29 04:46:14 2008 recovered 142375 relations Sat Nov 29 04:46:14 2008 recovered 117564 polynomials Sat Nov 29 04:46:14 2008 attempting to build 58992 cycles Sat Nov 29 04:46:14 2008 found 58992 cycles in 5 passes Sat Nov 29 04:46:14 2008 distribution of cycle lengths: Sat Nov 29 04:46:14 2008 length 1 : 15923 Sat Nov 29 04:46:14 2008 length 2 : 11484 Sat Nov 29 04:46:14 2008 length 3 : 10494 Sat Nov 29 04:46:14 2008 length 4 : 7817 Sat Nov 29 04:46:14 2008 length 5 : 5387 Sat Nov 29 04:46:14 2008 length 6 : 3465 Sat Nov 29 04:46:14 2008 length 7 : 2026 Sat Nov 29 04:46:14 2008 length 9+: 2396 Sat Nov 29 04:46:14 2008 largest cycle: 16 relations Sat Nov 29 04:46:14 2008 matrix is 58667 x 58992 (14.0 MB) with weight 3438927 (58.29/col) Sat Nov 29 04:46:14 2008 sparse part has weight 3438927 (58.29/col) Sat Nov 29 04:46:15 2008 filtering completed in 3 passes Sat Nov 29 04:46:15 2008 matrix is 54349 x 54413 (13.0 MB) with weight 3197994 (58.77/col) Sat Nov 29 04:46:15 2008 sparse part has weight 3197994 (58.77/col) Sat Nov 29 04:46:15 2008 saving the first 48 matrix rows for later Sat Nov 29 04:46:15 2008 matrix is 54301 x 54413 (8.9 MB) with weight 2565338 (47.15/col) Sat Nov 29 04:46:15 2008 sparse part has weight 2018746 (37.10/col) Sat Nov 29 04:46:15 2008 matrix includes 64 packed rows Sat Nov 29 04:46:15 2008 using block size 21765 for processor cache size 1024 kB Sat Nov 29 04:46:16 2008 commencing Lanczos iteration Sat Nov 29 04:46:16 2008 memory use: 8.4 MB Sat Nov 29 04:46:35 2008 lanczos halted after 860 iterations (dim = 54297) Sat Nov 29 04:46:35 2008 recovered 13 nontrivial dependencies Sat Nov 29 04:46:35 2008 prp35 factor: 73977684816291194925607695803441513 Sat Nov 29 04:46:35 2008 prp54 factor: 320902669571158779992693858038181395877039064352464353 Sat Nov 29 04:46:35 2008 elapsed time 00:44:32```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 28, 2008 02:00:00 UTC 2008 年 11 月 28 日 (金) 11 時 0 分 0 秒 (日本時間)

## 11×10119-173

### c101

name 名前 Serge Batalov November 28, 2008 20:17:55 UTC 2008 年 11 月 29 日 (土) 5 時 17 分 55 秒 (日本時間) `36127413660044700559683498342727882621562861733199118096367046611047755079319051779684906607393068167<101>` ```201591097540583059899592638756229<33> 179211354572697613407122682853275301429002320329115019253778195188123<69>``` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1995292405 Step 1 took 17977ms Step 2 took 8827ms ********** Factor found in step 2: 201591097540583059899592638756229 Found probable prime factor of 33 digits: 201591097540583059899592638756229 Probable prime cofactor 179211354572697613407122682853275301429002320329115019253778195188123 has 69 digits``` `GMP-ECM 6.2.1`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 28, 2008 02:00:00 UTC 2008 年 11 月 28 日 (金) 11 時 0 分 0 秒 (日本時間)

## 11×10120-173

### c97

name 名前 Sinkiti Sibata November 29, 2008 05:01:00 UTC 2008 年 11 月 29 日 (土) 14 時 1 分 0 秒 (日本時間) `9386249313915898130261757082745844486257562853489685991325229137610986951325811514789997817678397<97>` ```2105127696207944911022798679968833991726314291117<49> 4458755319605430079360836851668789221417006597841<49>``` ```Sat Nov 29 07:45:04 2008 Msieve v. 1.38 Sat Nov 29 07:45:04 2008 random seeds: 3c84e488 28be6288 Sat Nov 29 07:45:04 2008 factoring 9386249313915898130261757082745844486257562853489685991325229137610986951325811514789997817678397 (97 digits) Sat Nov 29 07:45:05 2008 searching for 15-digit factors Sat Nov 29 07:45:07 2008 commencing quadratic sieve (97-digit input) Sat Nov 29 07:45:07 2008 using multiplier of 13 Sat Nov 29 07:45:07 2008 using 32kb Intel Core sieve core Sat Nov 29 07:45:07 2008 sieve interval: 36 blocks of size 32768 Sat Nov 29 07:45:07 2008 processing polynomials in batches of 6 Sat Nov 29 07:45:07 2008 using a sieve bound of 2433061 (89412 primes) Sat Nov 29 07:45:07 2008 using large prime bound of 364959150 (28 bits) Sat Nov 29 07:45:07 2008 using double large prime bound of 2582495835375450 (43-52 bits) Sat Nov 29 07:45:07 2008 using trial factoring cutoff of 52 bits Sat Nov 29 07:45:07 2008 polynomial 'A' values have 13 factors Sat Nov 29 13:54:17 2008 89905 relations (21674 full + 68231 combined from 1343247 partial), need 89508 Sat Nov 29 13:54:22 2008 begin with 1364921 relations Sat Nov 29 13:54:23 2008 reduce to 235606 relations in 10 passes Sat Nov 29 13:54:23 2008 attempting to read 235606 relations Sat Nov 29 13:54:27 2008 recovered 235606 relations Sat Nov 29 13:54:27 2008 recovered 222456 polynomials Sat Nov 29 13:54:27 2008 attempting to build 89905 cycles Sat Nov 29 13:54:28 2008 found 89905 cycles in 6 passes Sat Nov 29 13:54:28 2008 distribution of cycle lengths: Sat Nov 29 13:54:28 2008 length 1 : 21674 Sat Nov 29 13:54:28 2008 length 2 : 15506 Sat Nov 29 13:54:28 2008 length 3 : 15138 Sat Nov 29 13:54:28 2008 length 4 : 12293 Sat Nov 29 13:54:28 2008 length 5 : 9307 Sat Nov 29 13:54:28 2008 length 6 : 6256 Sat Nov 29 13:54:28 2008 length 7 : 4136 Sat Nov 29 13:54:28 2008 length 9+: 5595 Sat Nov 29 13:54:28 2008 largest cycle: 20 relations Sat Nov 29 13:54:28 2008 matrix is 89412 x 89905 (24.4 MB) with weight 6028665 (67.06/col) Sat Nov 29 13:54:28 2008 sparse part has weight 6028665 (67.06/col) Sat Nov 29 13:54:29 2008 filtering completed in 3 passes Sat Nov 29 13:54:29 2008 matrix is 85386 x 85449 (23.2 MB) with weight 5736383 (67.13/col) Sat Nov 29 13:54:29 2008 sparse part has weight 5736383 (67.13/col) Sat Nov 29 13:54:30 2008 saving the first 48 matrix rows for later Sat Nov 29 13:54:30 2008 matrix is 85338 x 85449 (14.2 MB) with weight 4515452 (52.84/col) Sat Nov 29 13:54:30 2008 sparse part has weight 3212893 (37.60/col) Sat Nov 29 13:54:30 2008 matrix includes 64 packed rows Sat Nov 29 13:54:30 2008 using block size 34179 for processor cache size 1024 kB Sat Nov 29 13:54:30 2008 commencing Lanczos iteration Sat Nov 29 13:54:30 2008 memory use: 13.8 MB Sat Nov 29 13:55:24 2008 lanczos halted after 1350 iterations (dim = 85336) Sat Nov 29 13:55:24 2008 recovered 17 nontrivial dependencies Sat Nov 29 13:55:24 2008 prp49 factor: 2105127696207944911022798679968833991726314291117 Sat Nov 29 13:55:24 2008 prp49 factor: 4458755319605430079360836851668789221417006597841 Sat Nov 29 13:55:24 2008 elapsed time 06:10:20```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 28, 2008 02:00:00 UTC 2008 年 11 月 28 日 (金) 11 時 0 分 0 秒 (日本時間)

## 11×10123-173

### c107

name 名前 Erik Branger November 28, 2008 23:55:40 UTC 2008 年 11 月 29 日 (土) 8 時 55 分 40 秒 (日本時間) `22705159703973214452236063687756023515217752056680576539032965607066094137200662015975910403773494297128089<107>` ```668886617714639215408779843398589318361601<42> 33944706176884080583579775103068072235776993030794292237369985689<65>``` ```Number: 36661_123 N=22705159703973214452236063687756023515217752056680576539032965607066094137200662015975910403773494297128089 ( 107 digits) SNFS difficulty: 125 digits. Divisors found: r1=668886617714639215408779843398589318361601 r2=33944706176884080583579775103068072235776993030794292237369985689 Version: Total time: 3.21 hours. Scaled time: 2.53 units (timescale=0.787). Factorization parameters were as follows: n: 22705159703973214452236063687756023515217752056680576539032965607066094137200662015975910403773494297128089 m: 5000000000000000000000000 deg: 5 c5: 88 c0: -425 skew: 1.37 type: snfs lss: 1 rlim: 860000 alim: 860000 lpbr: 26 lpba: 26 mfbr: 46 mfba: 46 rlambda: 2.3 alambda: 2.3 Factor base limits: 860000/860000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 46/46 Sieved rational special-q in [430000, 780001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 136821 x 137069 Total sieving time: 3.21 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,125,5,0,0,0,0,0,0,0,0,860000,860000,26,26,46,46,2.3,2.3,50000 total time: 3.21 hours. --------- CPU info (if available) ----------``` `GGNFS, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 28, 2008 02:00:00 UTC 2008 年 11 月 28 日 (金) 11 時 0 分 0 秒 (日本時間)

## 11×10126-173

### c112

name 名前 Serge Batalov November 28, 2008 21:25:32 UTC 2008 年 11 月 29 日 (土) 6 時 25 分 32 秒 (日本時間) `1535494126900280097634966453816017651318018197457135481071718189164248955722438293136152218641345776503775460629<112>` ```14087763858732627321101608034056487645098264034924687<53> 108994879691177420849768695576009997842287982075496976611867<60>``` ```SNFS difficulty: 127 digits. Divisors found: r1=14087763858732627321101608034056487645098264034924687 (pp53) r2=108994879691177420849768695576009997842287982075496976611867 (pp60) Version: Msieve-1.38 Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.554). Factorization parameters were as follows: n: 1535494126900280097634966453816017651318018197457135481071718189164248955722438293136152218641345776503775460629 m: 10000000000000000000000000 deg: 5 c5: 110 c0: -17 skew: 0.69 type: snfs lss: 1 rlim: 980000 alim: 980000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.4 alambda: 2.4 Factor base limits: 980000/980000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved rational special-q in [490000, 740001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 130283 x 130515 Total sieving time: 0.00 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,127,5,0,0,0,0,0,0,0,0,980000,980000,26,26,49,49,2.4,2.4,50000 total time: 2.00 hours.``` `Msieve-1.38` `Opteron-2.6GHz; Linux x86_64`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 28, 2008 02:00:00 UTC 2008 年 11 月 28 日 (金) 11 時 0 分 0 秒 (日本時間)

## 11×10128-173

### c128

name 名前 Robert Backstrom November 29, 2008 03:15:06 UTC 2008 年 11 月 29 日 (土) 12 時 15 分 6 秒 (日本時間) `19298245614035087719298245614035087719298245614035087719298245614035087719298245614035087719298245614035087719298245614035087719<128>` ```1090272986019580928374762912685367956622743722256057747557165627<64> 17700379502650997404470878861782680291067945187883910993616729797<65>``` ```Number: n N=19298245614035087719298245614035087719298245614035087719298245614035087719298245614035087719298245614035087719298245614035087719 ( 128 digits) SNFS difficulty: 131 digits. Divisors found: r1=1090272986019580928374762912685367956622743722256057747557165627 (pp64) r2=17700379502650997404470878861782680291067945187883910993616729797 (pp65) Version: GGNFS-0.77.1-20051202-athlon Total time: 2.84 hours. Scaled time: 5.16 units (timescale=1.816). Factorization parameters were as follows: name: KA_3_6_127_1 n: 19298245614035087719298245614035087719298245614035087719298245614035087719298245614035087719298245614035087719298245614035087719 type: snfs skew: 2.74 deg: 5 c5: 11 c0: -1700 m: 100000000000000000000000000 rlim: 800000 alim: 800000 lpbr: 28 lpba: 28 mfbr: 56 mfba: 56 rlambda: 2.5 alambda: 2.5 qintsize: 50000 Factor base limits: 800000/800000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 56/56 Sieved algebraic special-q in [100000, 550001) Primes: RFBsize:63951, AFBsize:63749, largePrimes:6492214 encountered Relations: rels:5659445, finalFF:184434 Max relations in full relation-set: 48 Initial matrix: 127767 x 184434 with sparse part having weight 26352058. Pruned matrix : 116709 x 117411 with weight 12205227. Total sieving time: 2.63 hours. Total relation processing time: 0.10 hours. Matrix solve time: 0.09 hours. Total square root time: 0.02 hours, sqrts: 1. Prototype def-par.txt line would be: snfs,131,5,0,0,0,0,0,0,0,0,800000,800000,28,28,56,56,2.5,2.5,50000 total time: 2.84 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
3025e4430Makoto KamadaNovember 28, 2008 02:00:00 UTC 2008 年 11 月 28 日 (金) 11 時 0 分 0 秒 (日本時間)

## 11×10130-173

### c91

name 名前 Robert Backstrom November 28, 2008 19:10:57 UTC 2008 年 11 月 29 日 (土) 4 時 10 分 57 秒 (日本時間) `4949548304820429075400004912874089555561546276186079877477197022930758447185728135187522741<91>` ```26119835504853257224991747510790013<35> 189493854350681751333427226811128589700254398242977884057<57>``` ```Sat Nov 29 04:56:17 2008 Sat Nov 29 04:56:17 2008 Sat Nov 29 04:56:17 2008 Msieve v. 1.38 Sat Nov 29 04:56:17 2008 random seeds: c7f8ab60 3c0d8e28 Sat Nov 29 04:56:17 2008 factoring 4949548304820429075400004912874089555561546276186079877477197022930758447185728135187522741 (91 digits) Sat Nov 29 04:56:17 2008 searching for 15-digit factors Sat Nov 29 04:56:18 2008 commencing quadratic sieve (91-digit input) Sat Nov 29 04:56:18 2008 using multiplier of 29 Sat Nov 29 04:56:18 2008 using 64kb Opteron sieve core Sat Nov 29 04:56:18 2008 sieve interval: 18 blocks of size 65536 Sat Nov 29 04:56:18 2008 processing polynomials in batches of 6 Sat Nov 29 04:56:18 2008 using a sieve bound of 1716263 (64706 primes) Sat Nov 29 04:56:18 2008 using large prime bound of 164761248 (27 bits) Sat Nov 29 04:56:18 2008 using double large prime bound of 617076512625696 (42-50 bits) Sat Nov 29 04:56:18 2008 using trial factoring cutoff of 50 bits Sat Nov 29 04:56:18 2008 polynomial 'A' values have 12 factors Sat Nov 29 06:06:22 2008 65132 relations (17203 full + 47929 combined from 761920 partial), need 64802 Sat Nov 29 06:06:23 2008 begin with 779123 relations Sat Nov 29 06:06:24 2008 reduce to 162114 relations in 10 passes Sat Nov 29 06:06:24 2008 attempting to read 162114 relations Sat Nov 29 06:06:26 2008 recovered 162114 relations Sat Nov 29 06:06:26 2008 recovered 141428 polynomials Sat Nov 29 06:06:27 2008 attempting to build 65132 cycles Sat Nov 29 06:06:27 2008 found 65132 cycles in 5 passes Sat Nov 29 06:06:27 2008 distribution of cycle lengths: Sat Nov 29 06:06:27 2008 length 1 : 17203 Sat Nov 29 06:06:27 2008 length 2 : 12059 Sat Nov 29 06:06:27 2008 length 3 : 11019 Sat Nov 29 06:06:27 2008 length 4 : 8801 Sat Nov 29 06:06:27 2008 length 5 : 6314 Sat Nov 29 06:06:27 2008 length 6 : 4210 Sat Nov 29 06:06:27 2008 length 7 : 2421 Sat Nov 29 06:06:27 2008 length 9+: 3105 Sat Nov 29 06:06:27 2008 largest cycle: 19 relations Sat Nov 29 06:06:27 2008 matrix is 64706 x 65132 (15.8 MB) with weight 3894254 (59.79/col) Sat Nov 29 06:06:27 2008 sparse part has weight 3894254 (59.79/col) Sat Nov 29 06:06:28 2008 filtering completed in 3 passes Sat Nov 29 06:06:28 2008 matrix is 60808 x 60872 (14.9 MB) with weight 3650160 (59.96/col) Sat Nov 29 06:06:28 2008 sparse part has weight 3650160 (59.96/col) Sat Nov 29 06:06:28 2008 saving the first 48 matrix rows for later Sat Nov 29 06:06:28 2008 matrix is 60760 x 60872 (8.7 MB) with weight 2777885 (45.63/col) Sat Nov 29 06:06:28 2008 sparse part has weight 1912037 (31.41/col) Sat Nov 29 06:06:28 2008 matrix includes 64 packed rows Sat Nov 29 06:06:28 2008 using block size 24348 for processor cache size 1024 kB Sat Nov 29 06:06:29 2008 commencing Lanczos iteration Sat Nov 29 06:06:29 2008 memory use: 8.9 MB Sat Nov 29 06:06:50 2008 lanczos halted after 962 iterations (dim = 60758) Sat Nov 29 06:06:50 2008 recovered 16 nontrivial dependencies Sat Nov 29 06:06:51 2008 prp35 factor: 26119835504853257224991747510790013 Sat Nov 29 06:06:51 2008 prp57 factor: 189493854350681751333427226811128589700254398242977884057 Sat Nov 29 06:06:51 2008 elapsed time 01:10:34```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 28, 2008 02:00:00 UTC 2008 年 11 月 28 日 (金) 11 時 0 分 0 秒 (日本時間)

## 11×10132-173

### c131

name 名前 Erik Branger November 29, 2008 10:53:56 UTC 2008 年 11 月 29 日 (土) 19 時 53 分 56 秒 (日本時間) `18425460636515912897822445561139028475711892797319932998324958123953098827470686767169179229480737018425460636515912897822445561139<131>` ```23458969553533159486261373436846041377784456048254245377789<59> 785433503141268669465977030069961182458200542220187279043681975728135151<72>``` ```Number: 36661_132 N=18425460636515912897822445561139028475711892797319932998324958123953098827470686767169179229480737018425460636515912897822445561139 ( 131 digits) SNFS difficulty: 133 digits. Divisors found: r1=23458969553533159486261373436846041377784456048254245377789 r2=785433503141268669465977030069961182458200542220187279043681975728135151 Version: Total time: 4.67 hours. Scaled time: 3.69 units (timescale=0.789). Factorization parameters were as follows: n: 18425460636515912897822445561139028475711892797319932998324958123953098827470686767169179229480737018425460636515912897822445561139 m: 200000000000000000000000000 deg: 5 c5: 275 c0: -136 skew: 0.87 type: snfs lss: 1 rlim: 1200000 alim: 1200000 lpbr: 26 lpba: 26 mfbr: 47 mfba: 47 rlambda: 2.3 alambda: 2.3 Factor base limits: 1200000/1200000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 47/47 Sieved rational special-q in [600000, 1050001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 181650 x 181898 Total sieving time: 4.67 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,133,5,0,0,0,0,0,0,0,0,1200000,1200000,26,26,47,47,2.3,2.3,75000 total time: 4.67 hours. --------- CPU info (if available) ----------``` `GGNFS, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 28, 2008 02:00:00 UTC 2008 年 11 月 28 日 (金) 11 時 0 分 0 秒 (日本時間)

## 11×10134-173

### c99

name 名前 Sinkiti Sibata November 29, 2008 08:32:41 UTC 2008 年 11 月 29 日 (土) 17 時 32 分 41 秒 (日本時間) `175074334447915985220800658956999547881339884018263365077774518425860165827877515202679577075009973<99>` ```108612463794649131001183112199859161618563<42> 1611917530744212293292156513540070557954192544839381684071<58>``` ```Number: 36661_134 N=175074334447915985220800658956999547881339884018263365077774518425860165827877515202679577075009973 ( 99 digits) SNFS difficulty: 136 digits. Divisors found: r1=108612463794649131001183112199859161618563 (pp42) r2=1611917530744212293292156513540070557954192544839381684071 (pp58) Version: GGNFS-0.77.1-20060513-k8 Total time: 5.99 hours. Scaled time: 12.03 units (timescale=2.010). Factorization parameters were as follows: name: 36661_134 n: 175074334447915985220800658956999547881339884018263365077774518425860165827877515202679577075009973 m: 1000000000000000000000000000 deg: 5 c5: 11 c0: -170 skew: 1.73 type: snfs lss: 1 rlim: 1300000 alim: 1300000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.3 alambda: 2.3 Factor base limits: 1300000/1300000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved rational special-q in [650000, 1175001) Primes: RFBsize:100021, AFBsize:99724, largePrimes:3190511 encountered Relations: rels:3153954, finalFF:278438 Max relations in full relation-set: 28 Initial matrix: 199810 x 278438 with sparse part having weight 23194464. Pruned matrix : 175657 x 176720 with weight 11268879. Total sieving time: 5.57 hours. Total relation processing time: 0.07 hours. Matrix solve time: 0.26 hours. Time per square root: 0.08 hours. Prototype def-par.txt line would be: snfs,136,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,48,48,2.3,2.3,75000 total time: 5.99 hours. --------- CPU info (if available) ----------``` `Core 2 Duo E6300 1.86GHz, Windows Vista)`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 28, 2008 02:00:00 UTC 2008 年 11 月 28 日 (金) 11 時 0 分 0 秒 (日本時間)

## 11×10135-173

### c121

name 名前 Sinkiti Sibata November 29, 2008 04:28:52 UTC 2008 年 11 月 29 日 (土) 13 時 28 分 52 秒 (日本時間) `5150035417193145851355521736539756677829975768640092551076918709929398652640501243150621028631411539736512996373257039483<121>` ```463899733528641667300807588409536956588227985148592021<54> 11101613225813972447215283066867552276042114840195309698943540163023<68>``` ```Number: 36661_135 N=5150035417193145851355521736539756677829975768640092551076918709929398652640501243150621028631411539736512996373257039483 ( 121 digits) SNFS difficulty: 136 digits. Divisors found: r1=463899733528641667300807588409536956588227985148592021 (pp54) r2=11101613225813972447215283066867552276042114840195309698943540163023 (pp68) Version: GGNFS-0.77.1-20060513-k8 Total time: 6.75 hours. Scaled time: 13.32 units (timescale=1.972). Factorization parameters were as follows: name: 36661_135 n: 5150035417193145851355521736539756677829975768640092551076918709929398652640501243150621028631411539736512996373257039483 m: 1000000000000000000000000000 deg: 5 c5: 11 c0: -17 skew: 1.09 type: snfs lss: 1 rlim: 1300000 alim: 1300000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.3 alambda: 2.3 Factor base limits: 1300000/1300000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved rational special-q in [650000, 1175001) Primes: RFBsize:100021, AFBsize:100129, largePrimes:3397345 encountered Relations: rels:3539165, finalFF:431299 Max relations in full relation-set: 28 Initial matrix: 200215 x 431299 with sparse part having weight 37332250. Pruned matrix : 146610 x 147675 with weight 10914158. Total sieving time: 6.42 hours. Total relation processing time: 0.08 hours. Matrix solve time: 0.18 hours. Time per square root: 0.07 hours. Prototype def-par.txt line would be: snfs,136,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,48,48,2.3,2.3,75000 total time: 6.75 hours. --------- CPU info (if available) ----------``` `Core 2 Duo E6300 1.86GHz, Windows Vista)`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 28, 2008 02:00:00 UTC 2008 年 11 月 28 日 (金) 11 時 0 分 0 秒 (日本時間)

## 11×10136-173

### c136

name 名前 Serge Batalov November 29, 2008 00:56:10 UTC 2008 年 11 月 29 日 (土) 9 時 56 分 10 秒 (日本時間) `1182795698924731182795698924731182795698924731182795698924731182795698924731182795698924731182795698924731182795698924731182795698924731<136>` ```110448053390064403764987276605352253<36> 169097178743797369834770845207818629319141307<45> 63330848811647738103769089974633221625010035821186883861<56>``` ```SNFS difficulty: 137 digits. Divisors found: r1=110448053390064403764987276605352253 (pp36) r2=169097178743797369834770845207818629319141307 (pp45) r3=63330848811647738103769089974633221625010035821186883861 (pp56) Version: Msieve-1.38 Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.558). Factorization parameters were as follows: n: 1182795698924731182795698924731182795698924731182795698924731182795698924731182795698924731182795698924731182795698924731182795698924731 m: 1000000000000000000000000000 deg: 5 c5: 110 c0: -17 skew: 0.69 type: snfs lss: 1 rlim: 1350000 alim: 1350000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.3 alambda: 2.3 Factor base limits: 1350000/1350000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved rational special-q in [675000, 1200001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 204242 x 204484 Total sieving time: 0.00 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,137,5,0,0,0,0,0,0,0,0,1350000,1350000,26,26,49,49,2.3,2.3,75000 total time: 2.40 hours.``` `Msieve-1.38` `Opteron-2.6GHz; Linux x86_64`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 28, 2008 02:00:00 UTC 2008 年 11 月 28 日 (金) 11 時 0 分 0 秒 (日本時間)

## 11×10137-173

### c96

name 名前 Serge Batalov November 28, 2008 19:25:30 UTC 2008 年 11 月 29 日 (土) 4 時 25 分 30 秒 (日本時間) `449877962546380978527799519365556419590281879967064514900807584504698110213049557880977825355087<96>` ```225068055414946500455101512413<30> 1998853021220465571838973633604944432837054563410179737705368297499<67>``` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3848341359 Step 1 took 20041ms Step 2 took 8402ms ********** Factor found in step 2: 225068055414946500455101512413 Found probable prime factor of 30 digits: 225068055414946500455101512413 Probable prime cofactor 1998853021220465571838973633604944432837054563410179737705368297499 has 67 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 28, 2008 02:00:00 UTC 2008 年 11 月 28 日 (金) 11 時 0 分 0 秒 (日本時間)

## 11×10140-173

### c115

name 名前 Sinkiti Sibata November 29, 2008 13:55:00 UTC 2008 年 11 月 29 日 (土) 22 時 55 分 0 秒 (日本時間) `5625632775242278895503641449999420022802034367450748010214474861781619745325974560260325834412849046572994244874889<115>` ```4310159630862946677025293676143401052048035549<46> 1305202882733129400361734021700020844652399098566959423983108286773661<70>``` ```Number: 36661_140 N=5625632775242278895503641449999420022802034367450748010214474861781619745325974560260325834412849046572994244874889 ( 115 digits) SNFS difficulty: 141 digits. Divisors found: r1=4310159630862946677025293676143401052048035549 (pp46) r2=1305202882733129400361734021700020844652399098566959423983108286773661 (pp70) Version: GGNFS-0.77.1-20060513-k8 Total time: 8.34 hours. Scaled time: 16.51 units (timescale=1.979). Factorization parameters were as follows: name: 36661_140 n: 5625632775242278895503641449999420022802034367450748010214474861781619745325974560260325834412849046572994244874889 m: 10000000000000000000000000000 deg: 5 c5: 11 c0: -17 skew: 1.09 type: snfs lss: 1 rlim: 1570000 alim: 1570000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.3 alambda: 2.3 Factor base limits: 1570000/1570000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved rational special-q in [785000, 1485001) Primes: RFBsize:119057, AFBsize:119011, largePrimes:3601073 encountered Relations: rels:3633049, finalFF:338910 Max relations in full relation-set: 28 Initial matrix: 238133 x 338910 with sparse part having weight 29665582. Pruned matrix : 207023 x 208277 with weight 14398096. Total sieving time: 7.81 hours. Total relation processing time: 0.09 hours. Matrix solve time: 0.35 hours. Time per square root: 0.10 hours. Prototype def-par.txt line would be: snfs,141,5,0,0,0,0,0,0,0,0,1570000,1570000,26,26,48,48,2.3,2.3,100000 total time: 8.34 hours. --------- CPU info (if available) ----------``` `Core 2 Duo E6300 1.86GHz, Windows Vista)`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 28, 2008 02:00:00 UTC 2008 年 11 月 28 日 (金) 11 時 0 分 0 秒 (日本時間)

## 11×10142-173

### c101

name 名前 Sinkiti Sibata November 29, 2008 10:56:19 UTC 2008 年 11 月 29 日 (土) 19 時 56 分 19 秒 (日本時間) `39879542030248730305952505549511479412491993196918291201620186809045469006365085989027975256569067479<101>` ```485358917513402248806445046758915291<36> 82165054748679947348480555740015151916804192014196841159896556469<65>``` ``` Number: 36661_142 N=39879542030248730305952505549511479412491993196918291201620186809045469006365085989027975256569067479 ( 101 digits) Divisors found: r1=485358917513402248806445046758915291 (pp36) r2=82165054748679947348480555740015151916804192014196841159896556469 (pp65) Version: GGNFS-0.77.1-20050930-pentium4 Total time: 9.38 hours. Scaled time: 4.44 units (timescale=0.473). Factorization parameters were as follows: name: 36661_142 n: 39879542030248730305952505549511479412491993196918291201620186809045469006365085989027975256569067479 skew: 2082.32 # norm 1.23e+14 c5: 694260 c4: 3381224247 c3: -23801353228510 c2: -9926089970119084 c1: 21900716397827144332 c0: 6005824574800108133350 # alpha -5.93 Y1: 18094922549 Y0: -8950447478689257681 # Murphy_E 3.20e-09 # M 22311532077896101791765456491507583033848276516459723976941369835133769069388259434247533295035075598 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, 1500001) Primes: RFBsize:135072, AFBsize:135291, largePrimes:4019335 encountered Relations: rels:4151080, finalFF:480080 Max relations in full relation-set: 28 Initial matrix: 270451 x 480080 with sparse part having weight 37267957. Pruned matrix : 158606 x 160022 with weight 13822330. Total sieving time: 8.40 hours. Total relation processing time: 0.33 hours. Matrix solve time: 0.52 hours. Time per square root: 0.13 hours. Prototype def-par.txt line would be: gnfs,100,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000 total time: 9.38 hours. --------- CPU info (if available) ----------``` `Pentium 4 2.4GHz, Windows XP and Cygwin)`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 28, 2008 02:00:00 UTC 2008 年 11 月 28 日 (金) 11 時 0 分 0 秒 (日本時間)

## 11×10143-173

### c112

name 名前 Sinkiti Sibata November 30, 2008 12:51:52 UTC 2008 年 11 月 30 日 (日) 21 時 51 分 52 秒 (日本時間) `1398039923560082634828910420072859904457691715505441275759702220737789195249611934079696273591083487191067072823<112>` ```5820795363380476217942633647955613143<37> 240180222166092282236882706207457733262537991553564219984716625310194297761<75>``` ```Number: 36661_143 N=1398039923560082634828910420072859904457691715505441275759702220737789195249611934079696273591083487191067072823 ( 112 digits) SNFS difficulty: 145 digits. Divisors found: r1=5820795363380476217942633647955613143 (pp37) r2=240180222166092282236882706207457733262537991553564219984716625310194297761 (pp75) Version: GGNFS-0.77.1-20050930-pentium4 Total time: 22.85 hours. Scaled time: 10.81 units (timescale=0.473). Factorization parameters were as follows: name: 36661_143 n: 1398039923560082634828910420072859904457691715505441275759702220737789195249611934079696273591083487191067072823 m: 50000000000000000000000000000 deg: 5 c5: 88 c0: -425 skew: 1.37 type: snfs lss: 1 rlim: 1860000 alim: 1860000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.3 alambda: 2.3 Factor base limits: 1860000/1860000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved rational special-q in [930000, 2730001) Primes: RFBsize:139249, AFBsize:139409, largePrimes:4151418 encountered Relations: rels:4312026, finalFF:326401 Max relations in full relation-set: 28 Initial matrix: 278725 x 326401 with sparse part having weight 36068468. Pruned matrix : 262731 x 264188 with weight 27157932. Total sieving time: 20.04 hours. Total relation processing time: 0.25 hours. Matrix solve time: 2.47 hours. Time per square root: 0.09 hours. Prototype def-par.txt line would be: snfs,145,5,0,0,0,0,0,0,0,0,1860000,1860000,26,26,49,49,2.3,2.3,100000 total time: 22.85 hours. --------- CPU info (if available) ----------``` `Pentium 4 2.4GHz, Windows XP and Cygwin)`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 28, 2008 02:00:00 UTC 2008 年 11 月 28 日 (金) 11 時 0 分 0 秒 (日本時間)

## 11×10144-173

### c133

name 名前 Sinkiti Sibata November 29, 2008 09:07:11 UTC 2008 年 11 月 29 日 (土) 18 時 7 分 11 秒 (日本時間) `2304061136472133163799949453218864216324962170621676146520944921910783356238101620691422131265770593846200318144699849557627814939149<133>` ```5065705850886976495988343132418566289486969861509620415150181<61> 454835161040530031250813026453337616614594591416830701515656087243041929<72>``` ```Number: 36661_144 N=2304061136472133163799949453218864216324962170621676146520944921910783356238101620691422131265770593846200318144699849557627814939149 ( 133 digits) SNFS difficulty: 146 digits. Divisors found: r1=5065705850886976495988343132418566289486969861509620415150181 (pp61) r2=454835161040530031250813026453337616614594591416830701515656087243041929 (pp72) Version: GGNFS-0.77.1-20060513-nocona Total time: 15.29 hours. Scaled time: 39.21 units (timescale=2.564). Factorization parameters were as follows: name: 36661_144 n: 2304061136472133163799949453218864216324962170621676146520944921910783356238101620691422131265770593846200318144699849557627814939149 m: 100000000000000000000000000000 deg: 5 c5: 11 c0: -170 skew: 1.73 type: snfs lss: 1 rlim: 1900000 alim: 1900000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.3 alambda: 2.3 Factor base limits: 1900000/1900000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved rational special-q in [950000, 2250001) Primes: RFBsize:142029, AFBsize:142163, largePrimes:4461462 encountered Relations: rels:5018508, finalFF:688348 Max relations in full relation-set: 28 Initial matrix: 284257 x 688348 with sparse part having weight 77522317. Pruned matrix : 203776 x 205261 with weight 29271991. Total sieving time: 14.79 hours. Total relation processing time: 0.08 hours. Matrix solve time: 0.35 hours. Time per square root: 0.08 hours. Prototype def-par.txt line would be: snfs,146,5,0,0,0,0,0,0,0,0,1900000,1900000,26,26,49,49,2.3,2.3,100000 total time: 15.29 hours. --------- CPU info (if available) ----------``` `Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 28, 2008 02:00:00 UTC 2008 年 11 月 28 日 (金) 11 時 0 分 0 秒 (日本時間)

## 11×10145-173

### c123

name 名前 Sinkiti Sibata November 29, 2008 14:05:17 UTC 2008 年 11 月 29 日 (土) 23 時 5 分 17 秒 (日本時間) `516835902941348589508791970092043654132499949138794905474603269728655539745759808332443712734409744644426855368404775660537<123>` ```2408472121547289871373542292920092592599029191777402247<55> 214590776583004188735108491680326897863212133273819137444936868883071<69>``` ```Number: 36661_145 N=516835902941348589508791970092043654132499949138794905474603269728655539745759808332443712734409744644426855368404775660537 ( 123 digits) SNFS difficulty: 146 digits. Divisors found: r1=2408472121547289871373542292920092592599029191777402247 (pp55) r2=214590776583004188735108491680326897863212133273819137444936868883071 (pp69) Version: GGNFS-0.77.1-20060513-nocona Total time: 16.26 hours. Scaled time: 41.87 units (timescale=2.575). Factorization parameters were as follows: name: 36661_145 n: 516835902941348589508791970092043654132499949138794905474603269728655539745759808332443712734409744644426855368404775660537 m: 100000000000000000000000000000 deg: 5 c5: 11 c0: -17 skew: 1.09 type: snfs lss: 1 rlim: 1900000 alim: 1900000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.3 alambda: 2.3 Factor base limits: 1900000/1900000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved rational special-q in [950000, 2250001) Primes: RFBsize:142029, AFBsize:142108, largePrimes:4619974 encountered Relations: rels:5424522, finalFF:914310 Max relations in full relation-set: 28 Initial matrix: 284202 x 914310 with sparse part having weight 103851334. Pruned matrix : 196007 x 197492 with weight 31950170. Total sieving time: 15.71 hours. Total relation processing time: 0.09 hours. Matrix solve time: 0.38 hours. Time per square root: 0.07 hours. Prototype def-par.txt line would be: snfs,146,5,0,0,0,0,0,0,0,0,1900000,1900000,26,26,49,49,2.3,2.3,100000 total time: 16.26 hours. --------- CPU info (if available) ----------``` `Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 28, 2008 02:00:00 UTC 2008 年 11 月 28 日 (金) 11 時 0 分 0 秒 (日本時間)

## 11×10147-173

### c138

name 名前 Sinkiti Sibata November 30, 2008 03:32:49 UTC 2008 年 11 月 30 日 (日) 12 時 32 分 49 秒 (日本時間) `684813828841791925548542636326045013960593236516865610758561616214614337734306773754040675593517862354982976147348950128332745010084254363<138>` ```8842698700184589568599008652313694532003883719628427533<55> 77443985378298208181284593151571674690130665279220978504034704045989491535203645511<83>``` ```Number: 36661_147 N=684813828841791925548542636326045013960593236516865610758561616214614337734306773754040675593517862354982976147348950128332745010084254363 ( 138 digits) SNFS difficulty: 148 digits. Divisors found: r1=8842698700184589568599008652313694532003883719628427533 (pp55) r2=77443985378298208181284593151571674690130665279220978504034704045989491535203645511 (pp83) Version: GGNFS-0.77.1-20060513-k8 Total time: 19.10 hours. Scaled time: 37.43 units (timescale=1.960). Factorization parameters were as follows: name: 36661_147 n: 684813828841791925548542636326045013960593236516865610758561616214614337734306773754040675593517862354982976147348950128332745010084254363 m: 200000000000000000000000000000 deg: 5 c5: 275 c0: -136 skew: 0.87 type: snfs lss: 1 rlim: 2100000 alim: 2100000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.3 alambda: 2.3 Factor base limits: 2100000/2100000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved rational special-q in [1050000, 2550001) Primes: RFBsize:155805, AFBsize:155548, largePrimes:4285623 encountered Relations: rels:4471418, finalFF:407942 Max relations in full relation-set: 28 Initial matrix: 311420 x 407942 with sparse part having weight 41248728. Pruned matrix : 275681 x 277302 with weight 25234510. Total sieving time: 17.84 hours. Total relation processing time: 0.17 hours. Matrix solve time: 0.96 hours. Time per square root: 0.12 hours. Prototype def-par.txt line would be: snfs,148,5,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000 total time: 19.10 hours. --------- CPU info (if available) ----------``` `Core 2 Duo E6300 1.86GHz, Windows Vista)`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 28, 2008 02:00:00 UTC 2008 年 11 月 28 日 (金) 11 時 0 分 0 秒 (日本時間)

## 11×10148-173

### c102

name 名前 Sinkiti Sibata November 30, 2008 03:27:47 UTC 2008 年 11 月 30 日 (日) 12 時 27 分 47 秒 (日本時間) `574006951392693106963739100431843481150210144630008572838701316332226314859054721325873107493033196569<102>` ```2948246018368709645486068483619884355791607<43> 194694387041111373270642545173578018166065623787751820262767<60>``` ```Sat Nov 29 19:58:25 2008 Msieve v. 1.38 Sat Nov 29 19:58:25 2008 random seeds: 0bb27454 e6c455c6 Sat Nov 29 19:58:25 2008 factoring 574006951392693106963739100431843481150210144630008572838701316332226314859054721325873107493033196569 (102 digits) Sat Nov 29 19:58:26 2008 searching for 15-digit factors Sat Nov 29 19:58:28 2008 commencing quadratic sieve (102-digit input) Sat Nov 29 19:58:28 2008 using multiplier of 1 Sat Nov 29 19:58:28 2008 using 32kb Intel Core sieve core Sat Nov 29 19:58:28 2008 sieve interval: 36 blocks of size 32768 Sat Nov 29 19:58:28 2008 processing polynomials in batches of 6 Sat Nov 29 19:58:28 2008 using a sieve bound of 3272219 (117500 primes) Sat Nov 29 19:58:28 2008 using large prime bound of 490832850 (28 bits) Sat Nov 29 19:58:28 2008 using double large prime bound of 4402308790788150 (44-52 bits) Sat Nov 29 19:58:28 2008 using trial factoring cutoff of 52 bits Sat Nov 29 19:58:28 2008 polynomial 'A' values have 13 factors Sun Nov 30 09:52:49 2008 117762 relations (28907 full + 88855 combined from 1739700 partial), need 117596 Sun Nov 30 09:52:52 2008 begin with 1768607 relations Sun Nov 30 09:52:53 2008 reduce to 305866 relations in 11 passes Sun Nov 30 09:52:53 2008 attempting to read 305866 relations Sun Nov 30 09:52:59 2008 recovered 305866 relations Sun Nov 30 09:52:59 2008 recovered 294831 polynomials Sun Nov 30 09:52:59 2008 attempting to build 117762 cycles Sun Nov 30 09:52:59 2008 found 117762 cycles in 6 passes Sun Nov 30 09:52:59 2008 distribution of cycle lengths: Sun Nov 30 09:52:59 2008 length 1 : 28907 Sun Nov 30 09:53:00 2008 length 2 : 20776 Sun Nov 30 09:53:00 2008 length 3 : 19574 Sun Nov 30 09:53:00 2008 length 4 : 16039 Sun Nov 30 09:53:00 2008 length 5 : 12143 Sun Nov 30 09:53:00 2008 length 6 : 7941 Sun Nov 30 09:53:00 2008 length 7 : 5284 Sun Nov 30 09:53:00 2008 length 9+: 7098 Sun Nov 30 09:53:00 2008 largest cycle: 19 relations Sun Nov 30 09:53:00 2008 matrix is 117500 x 117762 (33.6 MB) with weight 8326328 (70.70/col) Sun Nov 30 09:53:00 2008 sparse part has weight 8326328 (70.70/col) Sun Nov 30 09:53:02 2008 filtering completed in 4 passes Sun Nov 30 09:53:02 2008 matrix is 112064 x 112128 (32.2 MB) with weight 7980133 (71.17/col) Sun Nov 30 09:53:02 2008 sparse part has weight 7980133 (71.17/col) Sun Nov 30 09:53:03 2008 saving the first 48 matrix rows for later Sun Nov 30 09:53:03 2008 matrix is 112016 x 112128 (22.2 MB) with weight 6586527 (58.74/col) Sun Nov 30 09:53:03 2008 sparse part has weight 5144383 (45.88/col) Sun Nov 30 09:53:03 2008 matrix includes 64 packed rows Sun Nov 30 09:53:03 2008 using block size 43690 for processor cache size 1024 kB Sun Nov 30 09:53:04 2008 commencing Lanczos iteration Sun Nov 30 09:53:04 2008 memory use: 20.1 MB Sun Nov 30 09:54:49 2008 lanczos halted after 1774 iterations (dim = 112012) Sun Nov 30 09:54:49 2008 recovered 14 nontrivial dependencies Sun Nov 30 09:54:50 2008 prp43 factor: 2948246018368709645486068483619884355791607 Sun Nov 30 09:54:50 2008 prp60 factor: 194694387041111373270642545173578018166065623787751820262767 Sun Nov 30 09:54:50 2008 elapsed time 13:56:25```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 28, 2008 02:00:00 UTC 2008 年 11 月 28 日 (金) 11 時 0 分 0 秒 (日本時間)

## 11×10149-173

### c145

name 名前 Robert Backstrom November 29, 2008 23:24:15 UTC 2008 年 11 月 30 日 (日) 8 時 24 分 15 秒 (日本時間) `1163441290108316384109084255360555744174067739782605706573760591282017111048355793038601924331893839155299316425358366359200863908041600429838673<145>` ```1749531190763715955891758353574118748596593649502417<52> 665001742324150244386503948550084957227608454300070908441392564284028975306968875042947440769<93>``` ```Number: n N=1163441290108316384109084255360555744174067739782605706573760591282017111048355793038601924331893839155299316425358366359200863908041600429838673 ( 145 digits) SNFS difficulty: 151 digits. Divisors found: r1=1749531190763715955891758353574118748596593649502417 (pp52) r2=665001742324150244386503948550084957227608454300070908441392564284028975306968875042947440769 (pp93) Version: GGNFS-0.77.1-20051202-athlon Total time: 12.50 hours. Scaled time: 22.78 units (timescale=1.822). Factorization parameters were as follows: name: KA_3_6_148_1 n: 1163441290108316384109084255360555744174067739782605706573760591282017111048355793038601924331893839155299316425358366359200863908041600429838673 type: snfs skew: 1.73 deg: 5 c5: 11 c0: -170 m: 1000000000000000000000000000000 rlim: 2000000 alim: 2000000 lpbr: 28 lpba: 28 mfbr: 56 mfba: 56 rlambda: 2.5 alambda: 2.5 qintsize: 50000 Factor base limits: 2000000/2000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 56/56 Sieved algebraic special-q in [100000, 900001) Primes: RFBsize:148933, AFBsize:149101, largePrimes:9843134 encountered Relations: rels:8711625, finalFF:409868 Max relations in full relation-set: 48 Initial matrix: 298099 x 409868 with sparse part having weight 47976057. Pruned matrix : 244058 x 245612 with weight 21718722. Total sieving time: 11.67 hours. Total relation processing time: 0.20 hours. Matrix solve time: 0.50 hours. Total square root time: 0.13 hours, sqrts: 3. Prototype def-par.txt line would be: snfs,151,5,0,0,0,0,0,0,0,0,2000000,2000000,28,28,56,56,2.5,2.5,100000 total time: 12.50 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
3025e4430Makoto KamadaNovember 28, 2008 02:00:00 UTC 2008 年 11 月 28 日 (金) 11 時 0 分 0 秒 (日本時間)

## 11×10151-173

### c119

name 名前 Robert Backstrom December 4, 2008 14:13:53 UTC 2008 年 12 月 4 日 (木) 23 時 13 分 53 秒 (日本時間) `66209161509398626028403506902594758492010827988105228259159168846744076206483165238543451191977366979540685390047196769<119>` ```112799423974289196481994738738050346143074439<45> 586963649074040777743311527397388588098323753426545891645978911779023424471<75>``` ```Number: n N=66209161509398626028403506902594758492010827988105228259159168846744076206483165238543451191977366979540685390047196769 ( 119 digits) SNFS difficulty: 152 digits. Divisors found: Fri Dec 05 01:08:52 2008 prp45 factor: 112799423974289196481994738738050346143074439 Fri Dec 05 01:08:52 2008 prp75 factor: 586963649074040777743311527397388588098323753426545891645978911779023424471 Fri Dec 05 01:08:52 2008 elapsed time 00:49:53 (Msieve 1.39 - dependency 5) Version: GGNFS-0.77.1-20051202-athlon Total time: 10.52 hours. Scaled time: 19.24 units (timescale=1.828). Factorization parameters were as follows: name: KA_3_6_150_1 n: 66209161509398626028403506902594758492010827988105228259159168846744076206483165238543451191977366979540685390047196769 type: snfs skew: 0.69 deg: 5 c5: 110 c0: -17 m: 1000000000000000000000000000000 rlim: 2400000 alim: 2400000 lpbr: 28 lpba: 28 mfbr: 56 mfba: 56 rlambda: 2.5 alambda: 2.5 qintsize: 50000 Factor base limits: 2400000/2400000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 56/56 Sieved special-q in [100000, 700001) Primes: RFBsize:176302, AFBsize:176664, largePrimes:10025374 encountered Relations: rels:8593859, finalFF:356069 Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Total sieving time: 10.34 hours. Total relation processing time: 0.18 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,152,5,0,0,0,0,0,0,0,0,2400000,2400000,28,28,56,56,2.5,2.5,100000 total time: 10.52 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
3025e4430Makoto KamadaNovember 28, 2008 02:00:00 UTC 2008 年 11 月 28 日 (金) 11 時 0 分 0 秒 (日本時間)

## 11×10152-173

### c143

name 名前 Sinkiti Sibata November 30, 2008 15:07:47 UTC 2008 年 12 月 1 日 (月) 0 時 7 分 47 秒 (日本時間) `13811216939648382207457548841893009925631655326532384482575247278999696345718024918999933772590643167474122621636368843057734710342694765175253<143>` ```57368638108951067897882258416206337<35> 240745072480524105689094125373155362261200698502908150928447721048171065449125833957091710221823664394074069<108>``` ```Number: 36661_152 N=13811216939648382207457548841893009925631655326532384482575247278999696345718024918999933772590643167474122621636368843057734710342694765175253 ( 143 digits) SNFS difficulty: 153 digits. Divisors found: r1=57368638108951067897882258416206337 (pp35) r2=240745072480524105689094125373155362261200698502908150928447721048171065449125833957091710221823664394074069 (pp108) Version: GGNFS-0.77.1-20060513-nocona Total time: 33.82 hours. Scaled time: 86.38 units (timescale=2.554). Factorization parameters were as follows: name: 36661_152 n: 13811216939648382207457548841893009925631655326532384482575247278999696345718024918999933772590643167474122621636368843057734710342694765175253 m: 2000000000000000000000000000000 deg: 5 c5: 275 c0: -136 skew: 0.87 type: snfs lss: 1 rlim: 2600000 alim: 2600000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4 Factor base limits: 2600000/2600000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved rational special-q in [1300000, 2200001) Primes: RFBsize:189880, AFBsize:189686, largePrimes:8729313 encountered Relations: rels:9832054, finalFF:1374167 Max relations in full relation-set: 28 Initial matrix: 379633 x 1374167 with sparse part having weight 163279689. Pruned matrix : 248100 x 250062 with weight 43412506. Total sieving time: 32.92 hours. Total relation processing time: 0.15 hours. Matrix solve time: 0.65 hours. Time per square root: 0.10 hours. Prototype def-par.txt line would be: snfs,153,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000 total time: 33.82 hours. --------- CPU info (if available) ----------``` `Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 28, 2008 02:00:00 UTC 2008 年 11 月 28 日 (金) 11 時 0 分 0 秒 (日本時間)

## 11×10156-173

### c141

name 名前 Serge Batalov November 29, 2008 08:58:06 UTC 2008 年 11 月 29 日 (土) 17 時 58 分 6 秒 (日本時間) `898653694542864079694322256023889802504426131617625176516182040256382815496843564561485283796472486632464351154376228436806719058721147899927<141>` ```384665774755265922540245230014640845803<39> 2336193530902535449760773143184500147895336647884600817095444483766385399109723704479196726601653355909<103>``` ```SNFS difficulty: 157 digits. Divisors found: r1=384665774755265922540245230014640845803 (pp39) r2=2336193530902535449760773143184500147895336647884600817095444483766385399109723704479196726601653355909 (pp103) Version: Msieve-1.38 Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.316). Factorization parameters were as follows: n: 898653694542864079694322256023889802504426131617625176516182040256382815496843564561485283796472486632464351154376228436806719058721147899927 m: 10000000000000000000000000000000 deg: 5 c5: 110 c0: -17 skew: 0.69 type: snfs lss: 1 rlim: 2900000 alim: 2900000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 2900000/2900000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved rational special-q in [1450000, 2350001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 538024 x 538266 Total sieving time: 0.00 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,157,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,52,52,2.4,2.4,100000 total time: 16.00 hours.``` `Msieve-1.38` `Opteron-2.6GHz; Linux x86_64`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 28, 2008 02:00:00 UTC 2008 年 11 月 28 日 (金) 11 時 0 分 0 秒 (日本時間)

## 11×10159-173

### c159

name 名前 Serge Batalov November 29, 2008 18:38:51 UTC 2008 年 11 月 30 日 (日) 3 時 38 分 51 秒 (日本時間) `523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523<159>` ```9605698962417846290315464856568118961559197<43> 54531120104733736426800532979622712211483081760295270849348053571911942643371024243440985426930821251996580938007759<116>``` ```SNFS difficulty: 161 digits. Divisors found: r1=9605698962417846290315464856568118961559197 (pp43) r2=54531120104733736426800532979622712211483081760295270849348053571911942643371024243440985426930821251996580938007759 (pp116) Version: Msieve-1.38 Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.552). Factorization parameters were as follows: n: 523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523 m: 100000000000000000000000000000000 deg: 5 c5: 11 c0: -170 skew: 1.73 type: snfs lss: 1 rlim: 3400000 alim: 3400000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 3400000/3400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved rational special-q in [1700000, 3000001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 617903 x 618145 Total sieving time: 0.00 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,161,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,52,52,2.4,2.4,100000 total time: 17.00 hours.``` `Msieve-1.38` `Opteron-2.6GHz; Linux x86_64`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 28, 2008 02:00:00 UTC 2008 年 11 月 28 日 (金) 11 時 0 分 0 秒 (日本時間)

## 11×10160-173

### c98

name 名前 Sinkiti Sibata November 29, 2008 10:52:18 UTC 2008 年 11 月 29 日 (土) 19 時 52 分 18 秒 (日本時間) `18223202681252044003716422527687772043697950467962637572786101774796419825519335769749720315369389<98>` ```957664442926109750412572273548012986189861349<45> 19028797420494901463586438810592233217404823016337961<53>``` ```Sat Nov 29 14:03:27 2008 Msieve v. 1.38 Sat Nov 29 14:03:27 2008 random seeds: 27020444 ac7423e9 Sat Nov 29 14:03:27 2008 factoring 18223202681252044003716422527687772043697950467962637572786101774796419825519335769749720315369389 (98 digits) Sat Nov 29 14:03:28 2008 searching for 15-digit factors Sat Nov 29 14:03:29 2008 commencing quadratic sieve (98-digit input) Sat Nov 29 14:03:30 2008 using multiplier of 13 Sat Nov 29 14:03:30 2008 using 32kb Intel Core sieve core Sat Nov 29 14:03:30 2008 sieve interval: 36 blocks of size 32768 Sat Nov 29 14:03:30 2008 processing polynomials in batches of 6 Sat Nov 29 14:03:30 2008 using a sieve bound of 2457703 (90588 primes) Sat Nov 29 14:03:30 2008 using large prime bound of 368655450 (28 bits) Sat Nov 29 14:03:30 2008 using double large prime bound of 2629766418374550 (43-52 bits) Sat Nov 29 14:03:30 2008 using trial factoring cutoff of 52 bits Sat Nov 29 14:03:30 2008 polynomial 'A' values have 13 factors Sat Nov 29 19:47:07 2008 91084 relations (22967 full + 68117 combined from 1341174 partial), need 90684 Sat Nov 29 19:47:09 2008 begin with 1364141 relations Sat Nov 29 19:47:11 2008 reduce to 234288 relations in 10 passes Sat Nov 29 19:47:11 2008 attempting to read 234288 relations Sat Nov 29 19:47:14 2008 recovered 234288 relations Sat Nov 29 19:47:14 2008 recovered 219976 polynomials Sat Nov 29 19:47:15 2008 attempting to build 91084 cycles Sat Nov 29 19:47:15 2008 found 91084 cycles in 6 passes Sat Nov 29 19:47:15 2008 distribution of cycle lengths: Sat Nov 29 19:47:15 2008 length 1 : 22967 Sat Nov 29 19:47:15 2008 length 2 : 16339 Sat Nov 29 19:47:15 2008 length 3 : 15478 Sat Nov 29 19:47:15 2008 length 4 : 12139 Sat Nov 29 19:47:15 2008 length 5 : 8966 Sat Nov 29 19:47:15 2008 length 6 : 6133 Sat Nov 29 19:47:15 2008 length 7 : 3870 Sat Nov 29 19:47:15 2008 length 9+: 5192 Sat Nov 29 19:47:15 2008 largest cycle: 20 relations Sat Nov 29 19:47:15 2008 matrix is 90588 x 91084 (24.4 MB) with weight 6028326 (66.18/col) Sat Nov 29 19:47:15 2008 sparse part has weight 6028326 (66.18/col) Sat Nov 29 19:47:16 2008 filtering completed in 3 passes Sat Nov 29 19:47:16 2008 matrix is 85968 x 86032 (23.1 MB) with weight 5709069 (66.36/col) Sat Nov 29 19:47:16 2008 sparse part has weight 5709069 (66.36/col) Sat Nov 29 19:47:17 2008 saving the first 48 matrix rows for later Sat Nov 29 19:47:17 2008 matrix is 85920 x 86032 (14.3 MB) with weight 4507429 (52.39/col) Sat Nov 29 19:47:17 2008 sparse part has weight 3219825 (37.43/col) Sat Nov 29 19:47:17 2008 matrix includes 64 packed rows Sat Nov 29 19:47:17 2008 using block size 34412 for processor cache size 1024 kB Sat Nov 29 19:47:18 2008 commencing Lanczos iteration Sat Nov 29 19:47:18 2008 memory use: 13.8 MB Sat Nov 29 19:48:11 2008 lanczos halted after 1360 iterations (dim = 85918) Sat Nov 29 19:48:11 2008 recovered 17 nontrivial dependencies Sat Nov 29 19:48:12 2008 prp45 factor: 957664442926109750412572273548012986189861349 Sat Nov 29 19:48:12 2008 prp53 factor: 19028797420494901463586438810592233217404823016337961 Sat Nov 29 19:48:12 2008 elapsed time 05:44:45```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 28, 2008 02:00:00 UTC 2008 年 11 月 28 日 (金) 11 時 0 分 0 秒 (日本時間)

## 11×10161-173

### c116

name 名前 Jo Yeong Uk December 1, 2008 12:52:22 UTC 2008 年 12 月 1 日 (月) 21 時 52 分 22 秒 (日本時間) `14095381438054049848194620343238446310043569438223828676882516142860471211671212343670224405889272698639578460886149<116>` ```17664047353579579308310273713784361<35> 592554862419818603822736166692925446317<39> 1346660266522921163024397070941814596274577<43>``` ```GMP-ECM 6.2.1 [powered by GMP 4.2.3] [ECM] Input number is 14095381438054049848194620343238446310043569438223828676882516142860471211671212343670224405889272698639578460886149 (116 digits) Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=702813065 Step 1 took 10671ms Step 2 took 2620ms ********** Factor found in step 2: 17664047353579579308310273713784361 Found probable prime factor of 35 digits: 17664047353579579308310273713784361 Composite cofactor 797970088955725802508007644661910266369870917643959528519898754913208433205382909 has 81 digits Mon Dec 01 21:34:18 2008 Mon Dec 01 21:34:18 2008 Mon Dec 01 21:34:18 2008 Msieve v. 1.32 Mon Dec 01 21:34:18 2008 random seeds: fa5ac99c bc59bc96 Mon Dec 01 21:34:18 2008 factoring 797970088955725802508007644661910266369870917643959528519898754913208433205382909 (81 digits) Mon Dec 01 21:34:18 2008 no P-1/P+1/ECM available, skipping Mon Dec 01 21:34:18 2008 commencing quadratic sieve (81-digit input) Mon Dec 01 21:34:18 2008 using multiplier of 1 Mon Dec 01 21:34:18 2008 using VC8 32kb sieve core Mon Dec 01 21:34:18 2008 sieve interval: 12 blocks of size 32768 Mon Dec 01 21:34:18 2008 processing polynomials in batches of 17 Mon Dec 01 21:34:18 2008 using a sieve bound of 1325659 (50882 primes) Mon Dec 01 21:34:18 2008 using large prime bound of 127263264 (26 bits) Mon Dec 01 21:34:18 2008 using trial factoring cutoff of 27 bits Mon Dec 01 21:34:18 2008 polynomial 'A' values have 10 factors Mon Dec 01 21:50:13 2008 51000 relations (25458 full + 25542 combined from 278893 partial), need 50978 Mon Dec 01 21:50:13 2008 begin with 304351 relations Mon Dec 01 21:50:13 2008 reduce to 73391 relations in 2 passes Mon Dec 01 21:50:13 2008 attempting to read 73391 relations Mon Dec 01 21:50:14 2008 recovered 73391 relations Mon Dec 01 21:50:14 2008 recovered 65369 polynomials Mon Dec 01 21:50:14 2008 attempting to build 51000 cycles Mon Dec 01 21:50:14 2008 found 51000 cycles in 1 passes Mon Dec 01 21:50:14 2008 distribution of cycle lengths: Mon Dec 01 21:50:14 2008 length 1 : 25458 Mon Dec 01 21:50:14 2008 length 2 : 25542 Mon Dec 01 21:50:14 2008 largest cycle: 2 relations Mon Dec 01 21:50:14 2008 matrix is 50882 x 51000 with weight 1538386 (avg 30.16/col) Mon Dec 01 21:50:14 2008 filtering completed in 4 passes Mon Dec 01 21:50:14 2008 matrix is 44142 x 44206 with weight 1309465 (avg 29.62/col) Mon Dec 01 21:50:14 2008 saving the first 48 matrix rows for later Mon Dec 01 21:50:14 2008 matrix is 44094 x 44206 with weight 1037487 (avg 23.47/col) Mon Dec 01 21:50:14 2008 matrix includes 64 packed rows Mon Dec 01 21:50:14 2008 commencing Lanczos iteration Mon Dec 01 21:50:36 2008 lanczos halted after 699 iterations (dim = 44084) Mon Dec 01 21:50:36 2008 recovered 12 nontrivial dependencies Mon Dec 01 21:50:37 2008 prp39 factor: 592554862419818603822736166692925446317 Mon Dec 01 21:50:37 2008 prp43 factor: 1346660266522921163024397070941814596274577 Mon Dec 01 21:50:37 2008 elapsed time 00:16:19``` `Core 2 Quad Q6600,Windows Vista(tm) Ultimate K x64`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 28, 2008 02:00:00 UTC 2008 年 11 月 28 日 (金) 11 時 0 分 0 秒 (日本時間)

## 11×10162-173

### c121

name 名前 Serge Batalov November 29, 2008 00:45:39 UTC 2008 年 11 月 29 日 (土) 9 時 45 分 39 秒 (日本時間) `4529666448718824729463276181289251737416114223060394114041325117506079300085514244330700781939821471009468248698752453107<121>` ```731052435518075457940546324433539<33> 6196089676534327845925392116638898810470739385870543386025115721853192452315915758888913<88>``` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2785932908 Step 1 took 22539ms Step 2 took 10481ms ********** Factor found in step 2: 731052435518075457940546324433539 Found probable prime factor of 33 digits: 731052435518075457940546324433539 Probable prime cofactor 6196089676534327845925392116638898810470739385870543386025115721853192452315915758888913 has 88 digits``` `GMP-ECM 6.2.1`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 28, 2008 02:00:00 UTC 2008 年 11 月 28 日 (金) 11 時 0 分 0 秒 (日本時間)

## 11×10165-173

### c115

name 名前 Serge Batalov November 29, 2008 08:20:15 UTC 2008 年 11 月 29 日 (土) 17 時 20 分 15 秒 (日本時間) `1898462078742589268826754644306695035711500806305591609265086701024078776287965492892461361796667637037043281034139<115>` ```26297757323118614671519055263267<32> 72191025851228490858060062036302772473383497526433611076929831488505843922709835817<83>``` ```Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2265542806 Step 1 took 12957ms Step 2 took 11043ms ********** Factor found in step 2: 26297757323118614671519055263267 Found probable prime factor of 32 digits: 26297757323118614671519055263267 Probable prime cofactor 72191025851228490858060062036302772473383497526433611076929831488505843922709835817 has 83 digits``` `GMP-ECM 6.2.1`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 28, 2008 02:00:00 UTC 2008 年 11 月 28 日 (金) 11 時 0 分 0 秒 (日本時間)

## 11×10166-173

### c159

name 名前 Robert Backstrom December 22, 2008 17:28:54 UTC 2008 年 12 月 23 日 (火) 2 時 28 分 54 秒 (日本時間) `122626164662483025347743472836949508140489448044728201240835654816634849691809178531191224129656978175172463918374192254346624590463586353818380837812123010591<159>` ```1116427148631667120168455525371131408601<40> 109838035390645973298719203114797829250387790912028941879398460215801086922957023513075842014334465944683742916668887991<120>``` ```GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM] Input number is 122626164662483025347743472836949508140489448044728201240835654816634849691809178531191224129656978175172463918374192254346624590463586353818380837812123010591 (159 digits) Using B1=2860000, B2=4281671950, polynomial Dickson(6), sigma=2445717877 Step 1 took 37615ms Step 2 took 13651ms ********** Factor found in step 2: 1116427148631667120168455525371131408601 Found probable prime factor of 40 digits: 1116427148631667120168455525371131408601 Probable prime cofactor 109838035390645973298719203114797829250387790912028941879398460215801086922957023513075842014334465944683742916668887991 has 120 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 28, 2008 02:00:00 UTC 2008 年 11 月 28 日 (金) 11 時 0 分 0 秒 (日本時間)

## 11×10171-173

### c160

name 名前 Serge Batalov November 29, 2008 02:24:05 UTC 2008 年 11 月 29 日 (土) 11 時 24 分 5 秒 (日本時間) `1871979695646465035987764724202478108258918276065410131380459111176542197086704491669439943138033395022267733807195566037708350493665159929219254276304389561653<160>` `83385999899891719865878511313987222461<38>` `22449568247593753184083167533291975290884854540034547605076554357224725377782546501707146485392713868517979960233913402073<122>` ```Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=718240080 Step 1 took 24841ms Step 2 took 16811ms ********** Factor found in step 2: 83385999899891719865878511313987222461 Found probable prime factor of 38 digits: 83385999899891719865878511313987222461 Composite cofactor 22449568247593753184083167533291975290884854540034547605076554357224725377782546501707146485392713868517979960233913402073 has 122 digits``` `GMP-ECM 6.2.1`

### c122

name 名前 Robert Backstrom June 15, 2009 04:23:00 UTC 2009 年 6 月 15 日 (月) 13 時 23 分 0 秒 (日本時間) `22449568247593753184083167533291975290884854540034547605076554357224725377782546501707146485392713868517979960233913402073<122>` ```4418221078669137442616872879018688733164741<43> 5081132846877830440997852063020506750789351211654669138222845010685572422958853<79>``` ```GMP-ECM 6.2.1 [powered by GMP 4.2.4] [ECM] Input number is 22449568247593753184083167533291975290884854540034547605076554357224725377782546501707146485392713868517979960233913402073 (122 digits) Using B1=7962000, B2=23420528050, polynomial Dickson(12), sigma=3300305035 Step 1 took 88764ms Step 2 took 30982ms ********** Factor found in step 2: 4418221078669137442616872879018688733164741 Found probable prime factor of 43 digits: 4418221078669137442616872879018688733164741 Probable prime cofactor 5081132846877830440997852063020506750789351211654669138222845010685572422958853 has 79 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 28, 2008 02:00:00 UTC 2008 年 11 月 28 日 (金) 11 時 0 分 0 秒 (日本時間)

## 11×10174-173

### c134

name 名前 Wataru Sakai May 26, 2010 06:40:58 UTC 2010 年 5 月 26 日 (水) 15 時 40 分 58 秒 (日本時間) `10268430758535488293551364551326900442836144895579032517802059918646730835362089855020769966015371624523869791956026650494721337180623<134>` ```4264886891592029284057539651874562123<37> 2407667781009406952854159571148905727376914708694267713036706339637517842124161455374646348159501<97>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2050187775 Step 1 took 11711ms ********** Factor found in step 1: 4264886891592029284057539651874562123 Found probable prime factor of 37 digits: 4264886891592029284057539651874562123 Probable prime cofactor 2407667781009406952854159571148905727376914708694267713036706339637517842124161455374646348159501 has 97 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
3025e4430Makoto KamadaNovember 28, 2008 02:00:00 UTC 2008 年 11 月 28 日 (金) 11 時 0 分 0 秒 (日本時間)
351e6825Ignacio SantosMarch 12, 2010 07:16:29 UTC 2010 年 3 月 12 日 (金) 16 時 16 分 29 秒 (日本時間)

## 11×10175-173

### c143

name 名前 Serge Batalov November 29, 2008 04:03:31 UTC 2008 年 11 月 29 日 (土) 13 時 3 分 31 秒 (日本時間) `22209876106543517103058826886580868299097443536005512991718434705476071057095735068837599841927699064704954218699809825746183129381855766130193<143>` ```1109870810744795934280775949391017001109<40> 20011226434218264569802564557860035959581832711691655219245543666648061801344742292178573885646208347277<104>``` ```Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2854008978 Step 1 took 19162ms Step 2 took 13841ms ********** Factor found in step 2: 1109870810744795934280775949391017001109 Found probable prime factor of 40 digits: 1109870810744795934280775949391017001109 Probable prime cofactor 20011226434218264569802564557860035959581832711691655219245543666648061801344742292178573885646208347277 has 104 digits``` `GMP-ECM 6.2.1`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 28, 2008 02:00:00 UTC 2008 年 11 月 28 日 (金) 11 時 0 分 0 秒 (日本時間)

## 11×10177-173

### c173

name 名前 Serge Batalov November 29, 2008 01:27:43 UTC 2008 年 11 月 29 日 (土) 10 時 27 分 43 秒 (日本時間) `33679002366715348133724009760787231371684531846558465217244873902753411529853373870605272907079632470232354499055457069988028645522376635345194465621392902303337589134541491<173>` ```5556832887851812076162476070701<31> 6060826921814296872914390472209730923182376228115283211788582114118810150036488088797677147810237162263095022865241892934485730623618870717791<142>``` ```Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3024729889 Step 1 took 24813ms Step 2 took 17166ms ********** Factor found in step 2: 5556832887851812076162476070701 Found probable prime factor of 31 digits: 5556832887851812076162476070701 Probable prime cofactor 6060826921814296872914390472209730923182376228115283211788582114118810150036488088797677147810237162263095022865241892934485730623618870717791 has 142 digits``` `GMP-ECM 6.2.1`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 28, 2008 02:00:00 UTC 2008 年 11 月 28 日 (金) 11 時 0 分 0 秒 (日本時間)

## 11×10178-173

### c144

name 名前 Serge Batalov November 28, 2008 20:13:51 UTC 2008 年 11 月 29 日 (土) 5 時 13 分 51 秒 (日本時間) `621535339013352077212069913228507807324219202188873768737625219969564513725280444687871950386981132985082846734503901840191207225075468004993311<144>` ```25564389165499286775537881549053<32> 24312544101470344889522583008595898850613862866972797747589406600656397524145120318815543370098395903890481926987<113>``` ```Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4102962534 Step 1 took 19473ms Step 2 took 13973ms ********** Factor found in step 2: 25564389165499286775537881549053 Found probable prime factor of 32 digits: 25564389165499286775537881549053 Probable prime cofactor 24312544101470344889522583008595898850613862866972797747589406600656397524145120318815543370098395903890481926987 has 113 digits``` `GMP-ECM 6.2.1`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 28, 2008 02:00:00 UTC 2008 年 11 月 28 日 (金) 11 時 0 分 0 秒 (日本時間)

## 11×10179-173

### c158

name 名前 Ben Meekins November 15, 2013 14:06:06 UTC 2013 年 11 月 15 日 (金) 23 時 6 分 6 秒 (日本時間) `18120659716929698117974632609043317735799474506654893467481769271314776791963905118452852412583597033092833081169266143425466614061589698578149841239402770077<158>` ```5450442883328115656638171136632088434311566975987041<52> 3324621522474330228488071197184835576083177055213487492401503548331089106257771835369310326298567604203197<106>``` ```Number: 36661_179 N = 18120659716929698117974632609043317735799474506654893467481769271314776791963905118452852412583597033092833081169266143425466614061589698578149841239402770077 (158 digits) SNFS difficulty: 181 digits. Divisors found: r1=5450442883328115656638171136632088434311566975987041 (pp52) r2=3324621522474330228488071197184835576083177055213487492401503548331089106257771835369310326298567604203197 (pp106) Version: Msieve v. 1.52 (SVN 945M) Total time: 68.64 hours. Factorization parameters were as follows: n: 18120659716929698117974632609043317735799474506654893467481769271314776791963905118452852412583597033092833081169266143425466614061589698578149841239402770077 m: 500000000000000000000000000000000000 deg: 5 c5: 176 c0: -85 skew: 0.86 # Murphy_E = 9.259e-11 type: snfs lss: 1 rlim: 7200000 alim: 7200000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 qintsize: 200000 Factor base limits: 7200000/7200000 Large primes per side: 3 Large prime bits: 28/28 Sieved rational special-q in [0, 0) Total raw relations: 18886952 Relations: 2506758 relations Pruned matrix : 1487020 x 1487245 Polynomial selection time: 0.00 hours. Total sieving time: 65.23 hours. Total relation processing time: 0.16 hours. Matrix solve time: 2.96 hours. time per square root: 0.28 hours. Prototype def-par.txt line would be: snfs,181,5,0,0,0,0,0,0,0,0,7200000,7200000,28,28,53,53,2.5,2.5,200000 total time: 68.64 hours. x86 Family 16 Model 4 Stepping 3, AuthenticAMD Windows-XP-5.1.2600-SP3 processors: 4, speed: 3.20GHz```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 28, 2008 02:00:00 UTC 2008 年 11 月 28 日 (金) 11 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosNovember 4, 2010 07:20:10 UTC 2010 年 11 月 4 日 (木) 16 時 20 分 10 秒 (日本時間)
403e62144110Ignacio SantosNovember 4, 2010 07:20:10 UTC 2010 年 11 月 4 日 (木) 16 時 20 分 10 秒 (日本時間)
2034Wataru SakaiApril 12, 2012 05:59:57 UTC 2012 年 4 月 12 日 (木) 14 時 59 分 57 秒 (日本時間)
4511e6882 / 399132Ignacio SantosNovember 4, 2010 07:20:10 UTC 2010 年 11 月 4 日 (木) 16 時 20 分 10 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:05:23 UTC 2013 年 11 月 9 日 (土) 2 時 5 分 23 秒 (日本時間)

## 11×10180-173

### c174

name 名前 Ignacio Santos March 21, 2009 21:23:47 UTC 2009 年 3 月 22 日 (日) 6 時 23 分 47 秒 (日本時間) `785775520078028937826512051760605058579922192508001873574576418776634664887099416104497857654478645443012737635482879415817332622135053524528232878719334485280245767723756187<174>` ```176325185615773625215171251016539484947995017242946993964977<60> 4456399789592708971102926999895272616391578598936752012977840464910707166020866224669377586464398546940798085854731<115>``` ```Number: 36661_180 N=785775520078028937826512051760605058579922192508001873574576418776634664887099416104497857654478645443012737635482879415817332622135053524528232878719334485280245767723756187 ( 174 digits) SNFS difficulty: 181 digits. Divisors found: r1=176325185615773625215171251016539484947995017242946993964977 (pp60) r2=4456399789592708971102926999895272616391578598936752012977840464910707166020866224669377586464398546940798085854731 (pp115) Version: Msieve-1.39 Total time: 125.86 hours. Scaled time: 218.88 units (timescale=1.739). Factorization parameters were as follows: n: 785775520078028937826512051760605058579922192508001873574576418776634664887099416104497857654478645443012737635482879415817332622135053524528232878719334485280245767723756187 m: 1000000000000000000000000000000000000 deg: 5 c5: 11 c0: -17 skew: 1.09 type: snfs lss: 1 rlim: 7300000 alim: 7300000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 7300000/7300000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved rational special-q in [3650000, 5750001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 1437252 x 1437500 Total sieving time: 125.86 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,181,5,0,0,0,0,0,0,0,0,7300000,7300000,28,28,53,53,2.5,2.5,100000 total time: 125.86 hours. --------- CPU info (if available) ----------``` `GGNFS, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 28, 2008 02:00:00 UTC 2008 年 11 月 28 日 (金) 11 時 0 分 0 秒 (日本時間)

## 11×10182-173

### c163

name 名前 Jo Yeong Uk April 24, 2014 12:07:34 UTC 2014 年 4 月 24 日 (木) 21 時 7 分 34 秒 (日本時間) `2569696379031047440887280280712673713848063425102413315448882249272824350252969948016612363342525067806929194745664600940271913996560135232514282536414215368820469<163>` ```36094308743219684726222276084765347720726772750004409567153<59> 71193949087992019276145473397895808902055516819583009111200539594043750160054712158119200787475931351173<104>``` ```Number: 36661_182 N=2569696379031047440887280280712673713848063425102413315448882249272824350252969948016612363342525067806929194745664600940271913996560135232514282536414215368820469 ( 163 digits) SNFS difficulty: 183 digits. Divisors found: r1=36094308743219684726222276084765347720726772750004409567153 r2=71193949087992019276145473397895808902055516819583009111200539594043750160054712158119200787475931351173 Version: Total time: 60.32 hours. Scaled time: 316.66 units (timescale=5.250). Factorization parameters were as follows: n: 2569696379031047440887280280712673713848063425102413315448882249272824350252969948016612363342525067806929194745664600940271913996560135232514282536414215368820469 m: 1000000000000000000000000000000000000 deg: 5 c5: 1100 c0: -17 skew: 0.43 # Murphy_E = 7.424e-11 type: snfs lss: 1 rlim: 6800000 alim: 6800000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 6800000/6800000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved rational special-q in [3400000, 6200001) Primes: rational ideals reading, algebraic ideals reading, Relations: 18232111 Max relations in full relation-set: Initial matrix: Pruned matrix : 1421200 x 1421448 Total sieving time: 56.47 hours. Total relation processing time: 1.33 hours. Matrix solve time: 2.31 hours. Time per square root: 0.20 hours. Prototype def-par.txt line would be: snfs,183,5,0,0,0,0,0,0,0,0,6800000,6800000,28,28,53,53,2.5,2.5,100000 total time: 60.32 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04 Memory: 49374320k/51380224k available (5220k kernel code, 1085960k absent, 919944k reserved, 7121k data, 1264k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.06 BogoMIPS (lpj=3400031) Total of 12 processors activated (81600.74 BogoMIPS).``` `GGNFS / Msieve v1.39` `Cire i7-4930K`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 28, 2008 02:00:00 UTC 2008 年 11 月 28 日 (金) 11 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosNovember 4, 2010 12:54:16 UTC 2010 年 11 月 4 日 (木) 21 時 54 分 16 秒 (日本時間)
403e62310110Ignacio SantosNovember 4, 2010 12:54:16 UTC 2010 年 11 月 4 日 (木) 21 時 54 分 16 秒 (日本時間)
2200Warut RoonguthaiFebruary 15, 2013 07:31:15 UTC 2013 年 2 月 15 日 (金) 16 時 31 分 15 秒 (日本時間)
4511e6882 / 395432Ignacio SantosNovember 4, 2010 12:54:16 UTC 2010 年 11 月 4 日 (木) 21 時 54 分 16 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:06:14 UTC 2013 年 11 月 9 日 (土) 2 時 6 分 14 秒 (日本時間)

## 11×10183-173

### c182

name 名前 Serge Batalov November 28, 2008 21:38:52 UTC 2008 年 11 月 29 日 (土) 6 時 38 分 52 秒 (日本時間) `74829931972789115646258503401360544217687074829931972789115646258503401360544217687074829931972789115646258503401360544217687074829931972789115646258503401360544217687074829931972789<182>` ```3223571118646144467773535158267<31> 23213364687364694423071285117959366924827885485071481831459700304705661130344587728525748337616731300987146031291571492942419541892201351763828235946767<152>``` ```Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1551405898 Step 1 took 28124ms Step 2 took 18519ms ********** Factor found in step 2: 3223571118646144467773535158267 Found probable prime factor of 31 digits: 3223571118646144467773535158267 Probable prime cofactor 23213364687364694423071285117959366924827885485071481831459700304705661130344587728525748337616731300987146031291571492942419541892201351763828235946767 has 152 digits``` `GMP-ECM 6.2.1`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 28, 2008 02:00:00 UTC 2008 年 11 月 28 日 (金) 11 時 0 分 0 秒 (日本時間)

## 11×10186-173

### c152

name 名前 LegionMammal978 February 18, 2017 22:53:36 UTC 2017 年 2 月 19 日 (日) 7 時 53 分 36 秒 (日本時間) `18930224944468966484633363087381019643861576061250291903492442302585957959008953518456752651085405808635872102882777434102253927015858668187627158817997<152>` ```3671477813916394800672589831925997902209773533011374137623<58> 5156023242933870234629071106992068460743577486811937044139586356522879908402169388049036330939<94>``` ```Sat Feb 18 16:05:01 2017 Msieve v. 1.53 (SVN Unversioned directory) Sat Feb 18 16:05:01 2017 random seeds: 3ff4a1bf a3a7966d Sat Feb 18 16:05:01 2017 factoring 18930224944468966484633363087381019643861576061250291903492442302585957959008953518456752651085405808635872102882777434102253927015858668187627158817997 (152 digits) Sat Feb 18 16:05:02 2017 no P-1/P+1/ECM available, skipping Sat Feb 18 16:05:02 2017 commencing number field sieve (152-digit input) Sat Feb 18 16:05:02 2017 R0: -10000000000000000000000000000000000000 Sat Feb 18 16:05:02 2017 R1: 1 Sat Feb 18 16:05:02 2017 A0: -17 Sat Feb 18 16:05:02 2017 A1: 0 Sat Feb 18 16:05:02 2017 A2: 0 Sat Feb 18 16:05:02 2017 A3: 0 Sat Feb 18 16:05:02 2017 A4: 0 Sat Feb 18 16:05:02 2017 A5: 110 Sat Feb 18 16:05:02 2017 skew 0.69, size 4.379e-13, alpha 0.588, combined = 4.994e-11 rroots = 1 Sat Feb 18 16:05:02 2017 Sat Feb 18 16:05:02 2017 commencing relation filtering Sat Feb 18 16:05:02 2017 estimated available RAM is 15929.4 MB Sat Feb 18 16:05:02 2017 commencing duplicate removal, pass 1 Sat Feb 18 16:07:34 2017 found 2851449 hash collisions in 21424790 relations Sat Feb 18 16:07:52 2017 added 522 free relations Sat Feb 18 16:07:52 2017 commencing duplicate removal, pass 2 Sat Feb 18 16:07:58 2017 found 2477378 duplicates and 18947934 unique relations Sat Feb 18 16:07:58 2017 memory use: 98.6 MB Sat Feb 18 16:07:58 2017 reading ideals above 720000 Sat Feb 18 16:07:58 2017 commencing singleton removal, initial pass Sat Feb 18 16:09:51 2017 memory use: 689.0 MB Sat Feb 18 16:09:51 2017 reading all ideals from disk Sat Feb 18 16:09:51 2017 memory use: 598.7 MB Sat Feb 18 16:09:52 2017 keeping 21182688 ideals with weight <= 200, target excess is 116087 Sat Feb 18 16:09:53 2017 commencing in-memory singleton removal Sat Feb 18 16:09:53 2017 begin with 18947934 relations and 21182688 unique ideals Sat Feb 18 16:10:01 2017 reduce to 7389862 relations and 7194929 ideals in 19 passes Sat Feb 18 16:10:01 2017 max relations containing the same ideal: 100 Sat Feb 18 16:10:03 2017 removing 433170 relations and 403034 ideals in 30136 cliques Sat Feb 18 16:10:03 2017 commencing in-memory singleton removal Sat Feb 18 16:10:03 2017 begin with 6956692 relations and 7194929 unique ideals Sat Feb 18 16:10:06 2017 reduce to 6933578 relations and 6768629 ideals in 8 passes Sat Feb 18 16:10:06 2017 max relations containing the same ideal: 97 Sat Feb 18 16:10:07 2017 removing 312579 relations and 282443 ideals in 30136 cliques Sat Feb 18 16:10:07 2017 commencing in-memory singleton removal Sat Feb 18 16:10:08 2017 begin with 6620999 relations and 6768629 unique ideals Sat Feb 18 16:10:10 2017 reduce to 6608303 relations and 6473411 ideals in 8 passes Sat Feb 18 16:10:10 2017 max relations containing the same ideal: 95 Sat Feb 18 16:10:12 2017 relations with 0 large ideals: 2889 Sat Feb 18 16:10:12 2017 relations with 1 large ideals: 939 Sat Feb 18 16:10:12 2017 relations with 2 large ideals: 17824 Sat Feb 18 16:10:12 2017 relations with 3 large ideals: 136659 Sat Feb 18 16:10:12 2017 relations with 4 large ideals: 562315 Sat Feb 18 16:10:12 2017 relations with 5 large ideals: 1344895 Sat Feb 18 16:10:12 2017 relations with 6 large ideals: 1970875 Sat Feb 18 16:10:12 2017 relations with 7+ large ideals: 2571907 Sat Feb 18 16:10:12 2017 commencing 2-way merge Sat Feb 18 16:10:15 2017 reduce to 3803849 relation sets and 3668958 unique ideals Sat Feb 18 16:10:15 2017 ignored 1 oversize relation sets Sat Feb 18 16:10:15 2017 commencing full merge Sat Feb 18 16:10:52 2017 memory use: 440.3 MB Sat Feb 18 16:10:53 2017 found 1938891 cycles, need 1925158 Sat Feb 18 16:10:53 2017 weight of 1925158 cycles is about 134774778 (70.01/cycle) Sat Feb 18 16:10:53 2017 distribution of cycle lengths: Sat Feb 18 16:10:53 2017 1 relations: 285792 Sat Feb 18 16:10:53 2017 2 relations: 247261 Sat Feb 18 16:10:53 2017 3 relations: 230515 Sat Feb 18 16:10:53 2017 4 relations: 199817 Sat Feb 18 16:10:53 2017 5 relations: 170789 Sat Feb 18 16:10:53 2017 6 relations: 141923 Sat Feb 18 16:10:53 2017 7 relations: 120309 Sat Feb 18 16:10:53 2017 8 relations: 98779 Sat Feb 18 16:10:53 2017 9 relations: 80309 Sat Feb 18 16:10:53 2017 10+ relations: 349664 Sat Feb 18 16:10:53 2017 heaviest cycle: 27 relations Sat Feb 18 16:10:53 2017 commencing cycle optimization Sat Feb 18 16:10:55 2017 start with 11108634 relations Sat Feb 18 16:11:05 2017 pruned 226704 relations Sat Feb 18 16:11:05 2017 memory use: 377.6 MB Sat Feb 18 16:11:05 2017 distribution of cycle lengths: Sat Feb 18 16:11:05 2017 1 relations: 285792 Sat Feb 18 16:11:05 2017 2 relations: 252270 Sat Feb 18 16:11:05 2017 3 relations: 237805 Sat Feb 18 16:11:05 2017 4 relations: 202998 Sat Feb 18 16:11:05 2017 5 relations: 173604 Sat Feb 18 16:11:05 2017 6 relations: 142905 Sat Feb 18 16:11:05 2017 7 relations: 119961 Sat Feb 18 16:11:05 2017 8 relations: 97701 Sat Feb 18 16:11:05 2017 9 relations: 78934 Sat Feb 18 16:11:05 2017 10+ relations: 333188 Sat Feb 18 16:11:05 2017 heaviest cycle: 26 relations Sat Feb 18 16:11:07 2017 RelProcTime: 365 Sat Feb 18 16:11:07 2017 elapsed time 00:06:06 Sat Feb 18 16:11:07 2017 LatSieveTime: 1143.89 Sat Feb 18 16:11:07 2017 -> Running matrix solving step ... Sat Feb 18 16:11:07 2017 -> ./msieve -s 36661_186/36661_186.dat -l 36661_186/36661_186.log -i 36661_186/36661_186.ini -nf 36661_186/36661_186.fb -t 6 -nc2 Sat Feb 18 16:11:07 2017 Sat Feb 18 16:11:07 2017 Sat Feb 18 16:11:07 2017 Msieve v. 1.53 (SVN Unversioned directory) Sat Feb 18 16:11:07 2017 random seeds: ca07dcf2 5b2e7aa7 Sat Feb 18 16:11:07 2017 factoring 18930224944468966484633363087381019643861576061250291903492442302585957959008953518456752651085405808635872102882777434102253927015858668187627158817997 (152 digits) Sat Feb 18 16:11:08 2017 no P-1/P+1/ECM available, skipping Sat Feb 18 16:11:08 2017 commencing number field sieve (152-digit input) Sat Feb 18 16:11:08 2017 R0: -10000000000000000000000000000000000000 Sat Feb 18 16:11:08 2017 R1: 1 Sat Feb 18 16:11:08 2017 A0: -17 Sat Feb 18 16:11:08 2017 A1: 0 Sat Feb 18 16:11:08 2017 A2: 0 Sat Feb 18 16:11:08 2017 A3: 0 Sat Feb 18 16:11:08 2017 A4: 0 Sat Feb 18 16:11:08 2017 A5: 110 Sat Feb 18 16:11:08 2017 skew 0.69, size 4.379e-13, alpha 0.588, combined = 4.994e-11 rroots = 1 Sat Feb 18 16:11:08 2017 Sat Feb 18 16:11:08 2017 commencing linear algebra Sat Feb 18 16:11:08 2017 read 1925158 cycles Sat Feb 18 16:11:10 2017 cycles contain 6438287 unique relations Sat Feb 18 16:11:40 2017 read 6438287 relations Sat Feb 18 16:11:44 2017 using 20 quadratic characters above 4294917295 Sat Feb 18 16:12:08 2017 building initial matrix Sat Feb 18 16:12:44 2017 memory use: 796.9 MB Sat Feb 18 16:12:45 2017 read 1925158 cycles Sat Feb 18 16:12:45 2017 matrix is 1924979 x 1925158 (578.2 MB) with weight 172177260 (89.44/col) Sat Feb 18 16:12:45 2017 sparse part has weight 130387453 (67.73/col) Sat Feb 18 16:12:55 2017 filtering completed in 2 passes Sat Feb 18 16:12:56 2017 matrix is 1921794 x 1921972 (577.9 MB) with weight 172064212 (89.52/col) Sat Feb 18 16:12:56 2017 sparse part has weight 130348259 (67.82/col) Sat Feb 18 16:12:59 2017 matrix starts at (0, 0) Sat Feb 18 16:13:00 2017 matrix is 1921794 x 1921972 (577.9 MB) with weight 172064212 (89.52/col) Sat Feb 18 16:13:00 2017 sparse part has weight 130348259 (67.82/col) Sat Feb 18 16:13:00 2017 saving the first 48 matrix rows for later Sat Feb 18 16:13:00 2017 matrix includes 64 packed rows Sat Feb 18 16:13:00 2017 matrix is 1921746 x 1921972 (549.5 MB) with weight 136548480 (71.05/col) Sat Feb 18 16:13:00 2017 sparse part has weight 124827239 (64.95/col) Sat Feb 18 16:13:00 2017 using block size 8192 and superblock size 786432 for processor cache size 8192 kB Sat Feb 18 16:13:04 2017 commencing Lanczos iteration (6 threads) Sat Feb 18 16:13:04 2017 memory use: 440.8 MB Sat Feb 18 16:13:09 2017 linear algebra at 0.1%, ETA 1h45m Sat Feb 18 16:13:10 2017 checkpointing every 1220000 dimensions Sat Feb 18 17:46:13 2017 lanczos halted after 30390 iterations (dim = 1921742) Sat Feb 18 17:46:14 2017 recovered 37 nontrivial dependencies Sat Feb 18 17:46:14 2017 BLanczosTime: 5706 Sat Feb 18 17:46:14 2017 elapsed time 01:35:07 Sat Feb 18 17:46:14 2017 -> Running square root step ... Sat Feb 18 17:46:14 2017 -> ./msieve -s 36661_186/36661_186.dat -l 36661_186/36661_186.log -i 36661_186/36661_186.ini -nf 36661_186/36661_186.fb -t 6 -nc3 Sat Feb 18 17:46:14 2017 Sat Feb 18 17:46:14 2017 Sat Feb 18 17:46:14 2017 Msieve v. 1.53 (SVN Unversioned directory) Sat Feb 18 17:46:14 2017 random seeds: ff8f36b8 321f7870 Sat Feb 18 17:46:14 2017 factoring 18930224944468966484633363087381019643861576061250291903492442302585957959008953518456752651085405808635872102882777434102253927015858668187627158817997 (152 digits) Sat Feb 18 17:46:15 2017 no P-1/P+1/ECM available, skipping Sat Feb 18 17:46:15 2017 commencing number field sieve (152-digit input) Sat Feb 18 17:46:15 2017 R0: -10000000000000000000000000000000000000 Sat Feb 18 17:46:15 2017 R1: 1 Sat Feb 18 17:46:15 2017 A0: -17 Sat Feb 18 17:46:15 2017 A1: 0 Sat Feb 18 17:46:15 2017 A2: 0 Sat Feb 18 17:46:15 2017 A3: 0 Sat Feb 18 17:46:15 2017 A4: 0 Sat Feb 18 17:46:15 2017 A5: 110 Sat Feb 18 17:46:15 2017 skew 0.69, size 4.379e-13, alpha 0.588, combined = 4.994e-11 rroots = 1 Sat Feb 18 17:46:15 2017 Sat Feb 18 17:46:15 2017 commencing square root phase Sat Feb 18 17:46:15 2017 reading relations for dependency 1 Sat Feb 18 17:46:15 2017 read 961306 cycles Sat Feb 18 17:46:16 2017 cycles contain 3218836 unique relations Sat Feb 18 17:46:32 2017 read 3218836 relations Sat Feb 18 17:46:40 2017 multiplying 3218836 relations Sat Feb 18 17:48:00 2017 multiply complete, coefficients have about 93.25 million bits Sat Feb 18 17:48:00 2017 initial square root is modulo 4940071 Sat Feb 18 17:49:44 2017 sqrtTime: 209 Sat Feb 18 17:49:44 2017 p58 factor: 3671477813916394800672589831925997902209773533011374137623 Sat Feb 18 17:49:44 2017 p94 factor: 5156023242933870234629071106992068460743577486811937044139586356522879908402169388049036330939 Sat Feb 18 17:49:44 2017 elapsed time 00:03:30``` `Msieve 1.53 snfs` `64-bit Ubuntu 16.04.1 LTS, Core i7-2600K 3.4GHz`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 28, 2008 02:00:00 UTC 2008 年 11 月 28 日 (金) 11 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosNovember 4, 2010 12:54:40 UTC 2010 年 11 月 4 日 (木) 21 時 54 分 40 秒 (日本時間)
403e62510110Ignacio SantosNovember 4, 2010 12:54:40 UTC 2010 年 11 月 4 日 (木) 21 時 54 分 40 秒 (日本時間)
2400Warut RoonguthaiFebruary 15, 2013 03:03:37 UTC 2013 年 2 月 15 日 (金) 12 時 3 分 37 秒 (日本時間)
4511e6332 / 391032Ignacio SantosNovember 4, 2010 12:54:40 UTC 2010 年 11 月 4 日 (木) 21 時 54 分 40 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:31:26 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 26 秒 (日本時間)

## 11×10187-173

### c149

name 名前 Jo Yeong Uk April 29, 2017 09:46:22 UTC 2017 年 4 月 29 日 (土) 18 時 46 分 22 秒 (日本時間) `12626336030646176155482612375652793582765402504978550559388925847694108446610782718986992238178030234192782084236803549332192466593886042616037819357<149>` ```332622907481374288187976232136758988098178059<45> 37959911198699405638138741843156023125228293379953600949389749914960943592790223350558301952697494436023<104>``` ```GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM] Input number is 12626336030646176155482612375652793582765402504978550559388925847694108446610782718986992238178030234192782084236803549332192466593886042616037819357 (149 digits) Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=7325195050 Step 1 took 24592ms Step 2 took 8853ms ********** Factor found in step 2: 332622907481374288187976232136758988098178059 Found probable prime factor of 45 digits: 332622907481374288187976232136758988098178059 Probable prime cofactor 37959911198699405638138741843156023125228293379953600949389749914960943592790223350558301952697494436023 has 104 digits``` `Core i7-4930K`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 28, 2008 02:00:00 UTC 2008 年 11 月 28 日 (金) 11 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosNovember 4, 2010 12:55:04 UTC 2010 年 11 月 4 日 (木) 21 時 55 分 4 秒 (日本時間)
403e63310110Ignacio SantosNovember 4, 2010 12:55:04 UTC 2010 年 11 月 4 日 (木) 21 時 55 分 4 秒 (日本時間)
3200Warut RoonguthaiFebruary 15, 2013 02:33:16 UTC 2013 年 2 月 15 日 (金) 11 時 33 分 16 秒 (日本時間)
4511e6332 / 373332Ignacio SantosNovember 4, 2010 12:55:04 UTC 2010 年 11 月 4 日 (木) 21 時 55 分 4 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:31:26 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 26 秒 (日本時間)

## 11×10189-173

### c158

name 名前 Ignacio Santos November 4, 2010 12:52:05 UTC 2010 年 11 月 4 日 (木) 21 時 52 分 5 秒 (日本時間) `34222273475798131852021774852964294180840837416434974259614811094915499103761742171692451563608504635922937941716149217351874625801509612832453687784701826589<158>` ```14863764321719962085187352585934112400465289203<47> 2302396131630678183447877709991271265368639287243175117405231367197678422037459123874367021711806846342873695663<112>``` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1170290970 Step 1 took 92805ms Step 2 took 42963ms ********** Factor found in step 2: 14863764321719962085187352585934112400465289203 Found probable prime factor of 47 digits: 14863764321719962085187352585934112400465289203 Probable prime cofactor 2302396131630678183447877709991271265368639287243175117405231367197678422037459123874367021711806846342873695663 has 112 digits``` `GMP-ECM 6.3`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 28, 2008 02:00:00 UTC 2008 年 11 月 28 日 (金) 11 時 0 分 0 秒 (日本時間)

## 11×10190-173

### c168

name 名前 Ignacio Santos November 4, 2010 12:53:32 UTC 2010 年 11 月 4 日 (木) 21 時 53 分 32 秒 (日本時間) `670334181848412563363061348089128557583068930783288221572950928672913238507334815697069441616676445162002898264933341205580610307845395695941844538582564751720728682683<168>` `7571762713524983146393663683798949<34>` `88530796224112390169746005492525483684694022075183283625386763726234701307210455433259203682591468006374987808589178677732132136351967<134>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2581436911 Step 1 took 24149ms Step 2 took 14133ms ********** Factor found in step 2: 7571762713524983146393663683798949 Found probable prime factor of 34 digits: 7571762713524983146393663683798949 Composite cofactor 88530796224112390169746005492525483684694022075183283625386763726234701307210455433259203682591468006374987808589178677732132136351967 has 134 digits``` `GMP-ECM 6.3`

### c134

name 名前 Ignacio Santos July 13, 2011 10:05:13 UTC 2011 年 7 月 13 日 (水) 19 時 5 分 13 秒 (日本時間) `88530796224112390169746005492525483684694022075183283625386763726234701307210455433259203682591468006374987808589178677732132136351967<134>` ```265136064024989693930526056802607638920255393<45> 333907032035325664478193574313982586785324443054202503058019998841317776565144871661371519<90>``` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1290294168 Step 1 took 54164ms Step 2 took 27737ms ********** Factor found in step 2: 265136064024989693930526056802607638920255393 Found probable prime factor of 45 digits: 265136064024989693930526056802607638920255393 Probable prime cofactor 333907032035325664478193574313982586785324443054202503058019998841317776565144871661371519 has 90 digits``` `GMP-ECM 6.3`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 28, 2008 02:00:00 UTC 2008 年 11 月 28 日 (金) 11 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosNovember 13, 2010 16:21:35 UTC 2010 年 11 月 14 日 (日) 1 時 21 分 35 秒 (日本時間)
403e6110 / 2144Ignacio SantosNovember 13, 2010 16:21:35 UTC 2010 年 11 月 14 日 (日) 1 時 21 分 35 秒 (日本時間)
4511e632 / 4441Ignacio SantosNovember 13, 2010 16:21:35 UTC 2010 年 11 月 14 日 (日) 1 時 21 分 35 秒 (日本時間)

## 11×10191-173

### c192

name 名前 Jo Yeong Uk December 14, 2008 22:25:31 UTC 2008 年 12 月 15 日 (月) 7 時 25 分 31 秒 (日本時間) `366666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666661<192>` ```49192191343990162417715955038848218978279791366327<50> 7453757530390289043345066089546327493410373894631714762602742698136076516003603270057275757770990426540518320236664138941399118042301680339843<142>``` ```Number: 36661_191 N=366666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666661 ( 192 digits) SNFS difficulty: 192 digits. Divisors found: r1=49192191343990162417715955038848218978279791366327 (pp50) r2=7453757530390289043345066089546327493410373894631714762602742698136076516003603270057275757770990426540518320236664138941399118042301680339843 (pp142) Version: GGNFS-0.77.1-20050930-nocona Total time: 333.93 hours. Scaled time: 792.08 units (timescale=2.372). Factorization parameters were as follows: n: 366666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666661 m: 100000000000000000000000000000000000000 deg: 5 c5: 110 c0: -17 skew: 0.69 type: snfs lss: 1 rlim: 13000000 alim: 13000000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 13000000/13000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved rational special-q in [6500000, 11800001) Primes: RFBsize:849252, AFBsize:848849, largePrimes:20997970 encountered Relations: rels:22348036, finalFF:1980622 Max relations in full relation-set: 28 Initial matrix: 1698168 x 1980622 with sparse part having weight 222660520. Pruned matrix : 1459606 x 1468160 with weight 178804439. Total sieving time: 302.57 hours. Total relation processing time: 0.57 hours. Matrix solve time: 30.49 hours. Time per square root: 0.30 hours. Prototype def-par.txt line would be: snfs,192,5,0,0,0,0,0,0,0,0,13000000,13000000,28,28,55,55,2.5,2.5,100000 total time: 333.93 hours. --------- CPU info (if available) ---------- Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Memory: 8047068k/8912896k available (2460k kernel code, 339224k reserved, 1251k data, 196k init) Calibrating delay using timer specific routine.. 5347.60 BogoMIPS (lpj=2673803) Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672384) Calibrating delay using timer specific routine.. 5497.76 BogoMIPS (lpj=2748880) Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672347)``` `Core 2 Quad Q6700`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 28, 2008 02:00:00 UTC 2008 年 11 月 28 日 (金) 11 時 0 分 0 秒 (日本時間)
351e671Serge BatalovNovember 28, 2008 19:30:54 UTC 2008 年 11 月 29 日 (土) 4 時 30 分 54 秒 (日本時間)
403e62317200Serge BatalovNovember 28, 2008 19:30:54 UTC 2008 年 11 月 29 日 (土) 4 時 30 分 54 秒 (日本時間)
140Serge BatalovNovember 29, 2008 00:51:02 UTC 2008 年 11 月 29 日 (土) 9 時 51 分 2 秒 (日本時間)
1977Jo Yeong UkNovember 30, 2008 01:44:06 UTC 2008 年 11 月 30 日 (日) 10 時 44 分 6 秒 (日本時間)

## 11×10192-173

### c184

name 名前 Ignacio Santos October 21, 2010 11:59:55 UTC 2010 年 10 月 21 日 (木) 20 時 59 分 55 秒 (日本時間) `6887565377247994347067032877515947251290028315776832134670607248193666947627364246901964796928284093968785099130997191251465300574927811004635006531030555494751919691107920611334241827<184>` ```11420148477109144740474137757195370464199671775277<50> 603106464951275996310468214553352162475251409612458087777842354831966554538457760970371337475350392228026633490831196739481244035275151<135>``` ```Number: 4 N=6887565377247994347067032877515947251290028315776832134670607248193666947627364246901964796928284093968785099130997191251465300574927811004635006531030555494751919691107920611334241827 ( 184 digits) SNFS difficulty: 193 digits. Divisors found: r1=11420148477109144740474137757195370464199671775277 (pp50) r2=603106464951275996310468214553352162475251409612458087777842354831966554538457760970371337475350392228026633490831196739481244035275151 (pp135) Version: Msieve-1.40 Total time: 370.05 hours. Scaled time: 643.51 units (timescale=1.739). Factorization parameters were as follows: n: 6887565377247994347067032877515947251290028315776832134670607248193666947627364246901964796928284093968785099130997191251465300574927811004635006531030555494751919691107920611334241827 m: 100000000000000000000000000000000000000 deg: 5 c5: 1100 c0: -17 skew: 0.43 type: snfs lss: 1 rlim: 11500000 alim: 11500000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 11500000/11500000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved rational special-q in [5750000, 11450001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 2107598 x 2107825 Total sieving time: 360.09 hours. Total relation processing time: 0.58 hours. Matrix solve time: 6.94 hours. Time per square root: 2.43 hours. Prototype def-par.txt line would be: snfs,193.000,5,0,0,0,0,0,0,0,0,11500000,11500000,28,28,55,55,2.5,2.5,100000 total time: 370.05 hours.``` `GGNFS, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 28, 2008 02:00:00 UTC 2008 年 11 月 28 日 (金) 11 時 0 分 0 秒 (日本時間)
351e60--
403e61694Wataru SakaiJune 24, 2010 05:25:55 UTC 2010 年 6 月 24 日 (木) 14 時 25 分 55 秒 (日本時間)
4511e6186 / 4104Dmitry DomanovJune 20, 2010 22:49:01 UTC 2010 年 6 月 21 日 (月) 7 時 49 分 1 秒 (日本時間)

## 11×10194-173

### c192

name 名前 Wataru Sakai October 27, 2009 13:10:21 UTC 2009 年 10 月 27 日 (火) 22 時 10 分 21 秒 (日本時間) `160889278923504461020915606260055579932719028813807225391253473745794939300862951586953342109112183706303934474184583881819511481643995904636536492613719467602749744039783530788357466725171859<192>` ```78977963478275827768612875134173255212037391<44> 7989706671541663001611625673535523086770395124467865271255451<61> 254970736930429047359472790175682836301063560469885661449512858357441037849002410792199<87>``` ```Number: 36661_194 N=160889278923504461020915606260055579932719028813807225391253473745794939300862951586953342109112183706303934474184583881819511481643995904636536492613719467602749744039783530788357466725171859 ( 192 digits) SNFS difficulty: 196 digits. Divisors found: r1=78977963478275827768612875134173255212037391 r2=7989706671541663001611625673535523086770395124467865271255451 r3=254970736930429047359472790175682836301063560469885661449512858357441037849002410792199 Version: Total time: 613.96 hours. Scaled time: 1235.91 units (timescale=2.013). Factorization parameters were as follows: n: 160889278923504461020915606260055579932719028813807225391253473745794939300862951586953342109112183706303934474184583881819511481643995904636536492613719467602749744039783530788357466725171859 m: 1000000000000000000000000000000000000000 deg: 5 c5: 11 c0: -170 skew: 1.73 type: snfs lss: 1 rlim: 13000000 alim: 13000000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 13000000/13000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved rational special-q in [6500000, 13800001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 2233237 x 2233485 Total sieving time: 613.96 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,196,5,0,0,0,0,0,0,0,0,13000000,13000000,28,28,55,55,2.5,2.5,100000 total time: 613.96 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
3025e4430Makoto KamadaNovember 28, 2008 02:00:00 UTC 2008 年 11 月 28 日 (金) 11 時 0 分 0 秒 (日本時間)
351e6825Wataru SakaiSeptember 2, 2009 14:46:42 UTC 2009 年 9 月 2 日 (水) 23 時 46 分 42 秒 (日本時間)
403e62111Wataru SakaiSeptember 5, 2009 05:11:48 UTC 2009 年 9 月 5 日 (土) 14 時 11 分 48 秒 (日本時間)

## 11×10197-173

### c183

name 名前 Serge Batalov November 29, 2008 00:44:44 UTC 2008 年 11 月 29 日 (土) 9 時 44 分 44 秒 (日本時間) `100916959718439697949745434730045150684673747502157982008803944422959833979204229583514635050776429584359839668099357361885812758799433740230713247880388580851819146361337295559675413<183>` ```27255285980819546400270342287438245231<38> 3702656423765222191449953291983165896174333193450106467327364998558250919653147210340654247030518342692904270634997845089652018632377252248552123<145>``` ```Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2963924375 Step 1 took 30017ms Step 2 took 18759ms ********** Factor found in step 2: 27255285980819546400270342287438245231 Found probable prime factor of 38 digits: 27255285980819546400270342287438245231 Probable prime cofactor 3702656423765222191449953291983165896174333193450106467327364998558250919653147210340654247030518342692904270634997845089652018632377252248552123 has 145 digits``` `GMP-ECM 6.2.1`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 28, 2008 02:00:00 UTC 2008 年 11 月 28 日 (金) 11 時 0 分 0 秒 (日本時間)

## 11×10199-173

### c184

name 名前 Serge Batalov November 28, 2008 21:16:25 UTC 2008 年 11 月 29 日 (土) 6 時 16 分 25 秒 (日本時間) `6435824284965939252858608022141338005677221076630134210708289546304925852453506633159118824949358602319591467052848684806676931322783124426142490654513340643663778105511200342266201251<184>` ```620849510886121014996653223133973<33> 10366158259157309433389410520769455172640438054800073452130936958194069123240087142681724227125048990871767365225139184688088979862324552054539230787287<152>``` ```Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3437716281 Step 1 took 29551ms Step 2 took 19011ms ********** Factor found in step 2: 620849510886121014996653223133973 Found probable prime factor of 33 digits: 620849510886121014996653223133973 Probable prime cofactor 10366158259157309433389410520769455172640438054800073452130936958194069123240087142681724227125048990871767365225139184688088979862324552054539230787287 has 152 digits``` `GMP-ECM 6.2.1`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 28, 2008 02:00:00 UTC 2008 年 11 月 28 日 (金) 11 時 0 分 0 秒 (日本時間)

## 11×10200-173

### c189

name 名前 matsui July 28, 2010 03:28:09 UTC 2010 年 7 月 28 日 (水) 12 時 28 分 9 秒 (日本時間) `263271050485614982133598812600485808122359544711387312568809844407735956080570069464706661012884889875842217875345768589817936323318509269279377173899948243793742055079163030237343126766369<189>` ```904228846080386805603241572668991634218499475517171725126532626700802292128980322169<84> 291155332664768731572105716076484339478699017377051507475377362756977860140639286162600092996887615661801<105>``` ```N=263271050485614982133598812600485808122359544711387312568809844407735956080570069464706661012884889875842217875345768589817936323318509269279377173899948243793742055079163030237343126766369 ( 189 digits) SNFS difficulty: 201 digits. Divisors found: r1=904228846080386805603241572668991634218499475517171725126532626700802292128980322169 (pp84) r2=291155332664768731572105716076484339478699017377051507475377362756977860140639286162600092996887615661801 (pp105) Version: Msieve v. 1.46 Total time: Scaled time: 390.53 units (timescale=1.320). Factorization parameters were as follows: n: 263271050485614982133598812600485808122359544711387312568809844407735956080570069464706661012884889875842217875345768589817936323318509269279377173899948243793742055079163030237343126766369 m: 10000000000000000000000000000000000000000 deg: 5 c5: 11 c0: -17 skew: 1.09 type: snfs lss: 1 rlim: 15700000 alim: 15700000 lpbr: 29 lpba: 29 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 qintsize: 1600000 Factor base limits: 15700000/15700000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 56/56 Sieved rational special-q in [7850000, 17450001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 2499058 x 2499285 Total sieving time: Total relation processing time: Matrix solve time: Time per square root: Prototype def-par.txt line would be: snfs,201.000,5,0,0,0,0,0,0,0,0,15700000,15700000,29,29,56,56,2.6,2.6,100000 total time:```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 28, 2008 02:00:00 UTC 2008 年 11 月 28 日 (金) 11 時 0 分 0 秒 (日本時間)

## 11×10202-173

### c163

name 名前 Warut Roonguthai February 15, 2013 06:32:38 UTC 2013 年 2 月 15 日 (金) 15 時 32 分 38 秒 (日本時間) `1413871771037153458143412529247324402975316355448477044718210837533700458969911937947286721860263686722793116124274254058292767532435060877029549546963634465974741<163>` ```10979773891708415326689751271890013<35> 128770572598481792441497256049278393629726143248616172042343871918101306149425147506247651286561085030828755882446404417126788057<129>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=877022482 Step 1 took 23618ms Step 2 took 13292ms ********** Factor found in step 2: 10979773891708415326689751271890013 Found probable prime factor of 35 digits: 10979773891708415326689751271890013 Probable prime cofactor 128770572598481792441497256049278393629726143248616172042343871918101306149425147506247651286561085030828755882446404417126788057 has 129 digits``` `GMP-ECM 6.3`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 28, 2008 02:00:00 UTC 2008 年 11 月 28 日 (金) 11 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosNovember 4, 2010 14:06:11 UTC 2010 年 11 月 4 日 (木) 23 時 6 分 11 秒 (日本時間)
403e6110 / 2144Ignacio SantosNovember 4, 2010 14:06:11 UTC 2010 年 11 月 4 日 (木) 23 時 6 分 11 秒 (日本時間)
4511e632 / 4441Ignacio SantosNovember 4, 2010 14:06:11 UTC 2010 年 11 月 4 日 (木) 23 時 6 分 11 秒 (日本時間)

## 11×10203-173

### c183

name 名前 Bob Backstrom December 16, 2021 13:07:05 UTC 2021 年 12 月 16 日 (木) 22 時 7 分 5 秒 (日本時間) `282055543158751767268554814153312942464681773509472560820245263494035053193179242508142741736064105883576948263536668493894946625196972333711855950187823472870317362540322725122325819<183>` ```1582751029923024410544826295592888785536870801167976920367<58> 13036337029029103386716393870919417366209608342554085138993<59> 13669935161269564232751220353627969429506597002951491497225047383749<68>``` ```Number: n N=282055543158751767268554814153312942464681773509472560820245263494035053193179242508142741736064105883576948263536668493894946625196972333711855950187823472870317362540322725122325819 ( 183 digits) SNFS difficulty: 204 digits. Divisors found: Thu Dec 16 23:51:07 2021 found factor: 1582751029923024410544826295592888785536870801167976920367 Fri Dec 17 00:01:40 2021 p58 factor: 1582751029923024410544826295592888785536870801167976920367 Fri Dec 17 00:01:40 2021 p59 factor: 13036337029029103386716393870919417366209608342554085138993 Fri Dec 17 00:01:40 2021 p68 factor: 13669935161269564232751220353627969429506597002951491497225047383749 Fri Dec 17 00:01:40 2021 elapsed time 03:00:25 (Msieve 1.54 - dependency 4) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.318). Factorization parameters were as follows: # # N = 11x10^203-17 = 36(202)1 # n: 282055543158751767268554814153312942464681773509472560820245263494035053193179242508142741736064105883576948263536668493894946625196972333711855950187823472870317362540322725122325819 m: 10000000000000000000000000000000000000000 deg: 5 c5: 11000 c0: -17 skew: 0.27 # Murphy_E = 7.706e-12 type: snfs lss: 1 rlim: 17600000 alim: 17600000 lpbr: 29 lpba: 29 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 17600000/17600000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 56/56 Sieved special-q in [100000, 64800000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 13013511 hash collisions in 76611278 relations (64661546 unique) Msieve: matrix is 2587111 x 2587336 (878.6 MB) Sieving start time : 2021/12/15 19:03:19 Sieving end time : 2021/12/16 20:59:36 Total sieving time: 25hrs 56min 17secs. Total relation processing time: 2hrs 26min 52sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 14min 5sec. Prototype def-par.txt line would be: snfs,204,5,0,0,0,0,0,0,0,0,17600000,17600000,29,29,56,56,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.118230] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5020K rodata, 2736K init, 4964K bss, 487280K reserved, 0K cma-reserved) [ 0.153572] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.15 BogoMIPS (lpj=12798304) [ 0.152049] smpboot: Total of 16 processors activated (102386.43 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 28, 2008 02:00:00 UTC 2008 年 11 月 28 日 (金) 11 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosNovember 4, 2010 15:16:34 UTC 2010 年 11 月 5 日 (金) 0 時 16 分 34 秒 (日本時間)
403e62810110Ignacio SantosNovember 4, 2010 15:16:34 UTC 2010 年 11 月 5 日 (金) 0 時 16 分 34 秒 (日本時間)
2700Warut RoonguthaiFebruary 15, 2013 11:54:07 UTC 2013 年 2 月 15 日 (金) 20 時 54 分 7 秒 (日本時間)
4511e6481232Ignacio SantosNovember 4, 2010 15:16:34 UTC 2010 年 11 月 5 日 (金) 0 時 16 分 34 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:31:27 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 27 秒 (日本時間)
4480Ignacio SantosDecember 13, 2021 16:18:14 UTC 2021 年 12 月 14 日 (火) 1 時 18 分 14 秒 (日本時間)

## 11×10204-173

### c205

name 名前 Robert Backstrom December 16, 2008 04:05:56 UTC 2008 年 12 月 16 日 (火) 13 時 5 分 56 秒 (日本時間) `3666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666661<205>` ```221505090182582524572671341559157703350533777731<48> 13194273781235111004047017055681434596445649290434332958327191748518633<71> 1254591174776189824004158294987313249694792007124710608846927570746687005326132416330207<88>``` ```Number: n N=3666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666661 ( 205 digits) SNFS difficulty: 206 digits. Divisors found: Tue Dec 16 14:36:52 2008 prp48 factor: 221505090182582524572671341559157703350533777731 Tue Dec 16 14:36:52 2008 prp71 factor: 13194273781235111004047017055681434596445649290434332958327191748518633 Tue Dec 16 14:36:52 2008 prp88 factor: 1254591174776189824004158294987313249694792007124710608846927570746687005326132416330207 Tue Dec 16 14:36:52 2008 elapsed time 17:19:44 (Msieve 1.39 - dependency 2) Version: GGNFS-0.77.1-20051202-athlon Total time: 175.28 hours. Scaled time: 352.66 units (timescale=2.012). Factorization parameters were as follows: name: KA_3_6_203_1 n: 3666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666661 type: snfs skew: 0.98 deg: 5 c5: 11 c0: -170 m: 100000000000000000000000000000000000000000 rlim: 10000000 alim: 10000000 lpbr: 29 lpba: 29 mfbr: 58 mfba: 58 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 10000000/10000000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 58/58 Sieved special-q in [100000, 29800001) Primes: RFBsize:664579, AFBsize:664171, largePrimes:34554940 encountered Relations: rels:27185260, finalFF:103021 Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 13574584 hash collisions in 52206683 relations Msieve: matrix is 3208382 x 3208630 (877.7 MB) Total sieving time: 172.35 hours. Total relation processing time: 2.93 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,206,5,0,0,0,0,0,0,0,0,10000000,10000000,29,29,58,58,2.5,2.5,100000 total time: 175.28 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU Q9550 @ 2.83GHz stepping 07 CPU1: Intel(R) Core(TM)2 Quad CPU Q9550 @ 2.83GHz stepping 07 CPU2: Intel(R) Core(TM)2 Quad CPU Q9550 @ 2.83GHz stepping 07 CPU3: Intel(R) Core(TM)2 Quad CPU Q9550 @ 2.83GHz stepping 07 Memory: 3321556k/3407296k available (2912k kernel code, 84428k reserved, 1794k data, 1544k init, 2502088k highmem) Calibrating delay loop (skipped), value calculated using timer frequency.. 5660.98 BogoMIPS (lpj=2830490) Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830449) Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830457) Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830462) Total of 4 processors activated (22643.71 BogoMIPS).```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 28, 2008 02:00:00 UTC 2008 年 11 月 28 日 (金) 11 時 0 分 0 秒 (日本時間)
351e629Serge BatalovNovember 28, 2008 19:30:33 UTC 2008 年 11 月 29 日 (土) 4 時 30 分 33 秒 (日本時間)
403e6340 / 2328200Serge BatalovNovember 28, 2008 19:30:33 UTC 2008 年 11 月 29 日 (土) 4 時 30 分 33 秒 (日本時間)
140Serge BatalovNovember 29, 2008 00:51:33 UTC 2008 年 11 月 29 日 (土) 9 時 51 分 33 秒 (日本時間)

## 11×10206-173

### c179

name 名前 Bob Backstrom May 24, 2024 15:49:12 UTC 2024 年 5 月 25 日 (土) 0 時 49 分 12 秒 (日本時間) `22176300832327456489813400751127842458324522080776963175553918284797630829120525543070460730417793398961211077452830375707830351534212679355296586051276610750563620394209710716203<179>` ```3802262416054667472560308478375415916257227<43> 26529039044450074289260226754210667129487644419809<50> 219849508350503487752820680876130483222774532281308691336245384538694997894319889945921<87>``` ```GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 22176300832327456489813400751127842458324522080776963175553918284797630829120525543070460730417793398961211077452830375707830351534212679355296586051276610750563620394209710716203 (179 digits) Using B1=56500000, B2=388126412320, polynomial Dickson(30), sigma=1:3674930663 Step 1 took 154583ms Step 2 took 66981ms ********** Factor found in step 2: 3802262416054667472560308478375415916257227 Found prime factor of 43 digits: 3802262416054667472560308478375415916257227 Composite cofactor 5832396190933659674867818808108763174472458602750107220219384763102929374358283766988344272605728652612316695351123241760136378431149089 has 136 digits GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 5832396190933659674867818808108763174472458602750107220219384763102929374358283766988344272605728652612316695351123241760136378431149089 (136 digits) Using B1=59270000, B2=388129104100, polynomial Dickson(30), sigma=1:288234242 Step 1 took 122514ms Step 2 took 52936ms ********** Factor found in step 2: 26529039044450074289260226754210667129487644419809 Found prime factor of 50 digits: 26529039044450074289260226754210667129487644419809 Prime cofactor 219849508350503487752820680876130483222774532281308691336245384538694997894319889945921 has 87 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 13, 2013 15:00:00 UTC 2013 年 2 月 14 日 (木) 0 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 15, 2013 15:23:15 UTC 2013 年 2 月 16 日 (土) 0 時 23 分 15 秒 (日本時間)
403e62400Warut RoonguthaiFebruary 15, 2013 15:23:15 UTC 2013 年 2 月 16 日 (土) 0 時 23 分 15 秒 (日本時間)
4511e6300 / 3884Serge BatalovMay 27, 2014 00:31:27 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 27 秒 (日本時間)

## 11×10207-173

### c203

name 名前 Bob Backstrom August 6, 2020 21:22:21 UTC 2020 年 8 月 7 日 (金) 6 時 22 分 21 秒 (日本時間) `31778773512681175121264910744981120519554057138234775800752868034309519476054694158194734546126889753656725688516017946340096434132713936147777074792787951800267519493388570619657193703180477432737336881<203>` ```7204977553262619806288409922954014830086811311193175434372646500886575680155517813208039<88> 4410669329329254885520977960411636332272150555613162141239997412572726852212731256833820236585463125731441417546279<115>``` ```Number: n N=31778773512681175121264910744981120519554057138234775800752868034309519476054694158194734546126889753656725688516017946340096434132713936147777074792787951800267519493388570619657193703180477432737336881 ( 203 digits) SNFS difficulty: 208 digits. Divisors found: Fri Aug 7 07:17:05 2020 p88 factor: 7204977553262619806288409922954014830086811311193175434372646500886575680155517813208039 Fri Aug 7 07:17:05 2020 p115 factor: 4410669329329254885520977960411636332272150555613162141239997412572726852212731256833820236585463125731441417546279 Fri Aug 7 07:17:05 2020 elapsed time 03:00:23 (Msieve 1.54 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.010). Factorization parameters were as follows: # # N = 11x10^207-17 = 36(206)1 # n: 31778773512681175121264910744981120519554057138234775800752868034309519476054694158194734546126889753656725688516017946340096434132713936147777074792787951800267519493388570619657193703180477432737336881 m: 100000000000000000000000000000000000000000 deg: 5 c5: 1100 c0: -17 skew: 0.43 # Murphy_E = 6.851e-12 type: snfs lss: 1 rlim: 21000000 alim: 21000000 lpbr: 29 lpba: 29 mfbr: 57 mfba: 57 rlambda: 2.6 alambda: 2.6 Factor base limits: 21000000/21000000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 57/57 Sieved special-q in [100000, 43300000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 9178147 hash collisions in 62765711 relations (55988916 unique) Msieve: matrix is 2564323 x 2564549 (894.7 MB) Sieving start time: 2020/08/06 10:25:08 Sieving end time : 2020/08/07 04:15:44 Total sieving time: 17hrs 50min 36secs. Total relation processing time: 2hrs 34min 25sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 7min 40sec. Prototype def-par.txt line would be: snfs,208,5,0,0,0,0,0,0,0,0,21000000,21000000,29,29,57,57,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.154206] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1) [ 0.000000] Memory: 16283136K/16703460K available (12300K kernel code, 2481K rwdata, 4272K rodata, 2436K init, 2720K bss, 420324K reserved, 0K cma-reserved) [ 0.188728] x86/mm: Memory block size: 128MB [ 0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.50 BogoMIPS (lpj=11977004) [ 0.186225] smpboot: Total of 16 processors activated (95816.03 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 13, 2013 15:00:00 UTC 2013 年 2 月 14 日 (木) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 16, 2013 10:02:44 UTC 2013 年 2 月 16 日 (土) 19 時 2 分 44 秒 (日本時間)
4511e64250850Serge BatalovNovember 8, 2013 17:13:51 UTC 2013 年 11 月 9 日 (土) 2 時 13 分 51 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:27:16 UTC 2014 年 1 月 6 日 (月) 11 時 27 分 16 秒 (日本時間)
1800Serge BatalovMay 24, 2014 03:25:59 UTC 2014 年 5 月 24 日 (土) 12 時 25 分 59 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:19 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 19 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:31:28 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 28 秒 (日本時間)
5043e61 / 6561KTakahashiMay 30, 2014 22:24:26 UTC 2014 年 5 月 31 日 (土) 7 時 24 分 26 秒 (日本時間)

## 11×10210-173

### c199

name 名前 Warut Roonguthai February 13, 2013 16:52:40 UTC 2013 年 2 月 14 日 (木) 1 時 52 分 40 秒 (日本時間) `1699792503247976459512462130188055566560744806397423164899702537685348494084829862263654559993889966934811702289747765447911080803863234826518345253195193234849556781182287666596539608540132577237727<199>` `4486771299488860904940229544956427<34>` `378845363355520067560740744805579602108875263048889140873433559655712705111863587462704885377537645058749133511609725055167138318538706892385990818122470859240411901<165>` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1510840011 Step 1 took 11139ms Step 2 took 6739ms ********** Factor found in step 2: 4486771299488860904940229544956427 Found probable prime factor of 34 digits: 4486771299488860904940229544956427 Composite cofactor 378845363355520067560740744805579602108875263048889140873433559655712705111863587462704885377537645058749133511609725055167138318538706892385990818122470859240411901 has 165 digits``` `GMP-ECM 6.3`

### c165

name 名前 Thomas Kozlowski July 21, 2024 06:00:10 UTC 2024 年 7 月 21 日 (日) 15 時 0 分 10 秒 (日本時間) `378845363355520067560740744805579602108875263048889140873433559655712705111863587462704885377537645058749133511609725055167138318538706892385990818122470859240411901<165>` ```77837837935805485518921728498476112224108742711<47> 16241915237085891966643295690701848338025324708637<50> 299663586080525400841691209602539533988768334883268987948625829928743<69>``` ```16241915237085891966643295690701848338025324708637 299663586080525400841691209602539533988768334883268987948625829928743 77837837935805485518921728498476112224108742711``` `cado-nfs` `2x Xeon E5-2698v4, 256GB DDR4, Ubuntu Server 22.04`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 13, 2013 15:00:00 UTC 2013 年 2 月 14 日 (木) 0 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovFebruary 16, 2013 10:02:56 UTC 2013 年 2 月 16 日 (土) 19 時 2 分 56 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:41:44 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 44 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:22 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 22 秒 (日本時間)

## 11×10211-173

### c209

name 名前 Warut Roonguthai February 13, 2013 16:50:24 UTC 2013 年 2 月 14 日 (木) 1 時 50 分 24 秒 (日本時間) `11483453387618749347531057521661968890280822632842676688589623133938824511953231026203152729930055329366322163065038104186240734941016807599958241987681386366008977972648501931308069735880572084768765006785677<209>` ```36898902141516618901952009140435861<35> 311213958170809587561834862273868216403653626854549139780110706401776552304967341819096667587316024516273182207046524282643217494598434920154581017800811914849587700629925657<174>``` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3676162390 Step 1 took 12059ms Step 2 took 7223ms ********** Factor found in step 2: 36898902141516618901952009140435861 Found probable prime factor of 35 digits: 36898902141516618901952009140435861 Probable prime cofactor 311213958170809587561834862273868216403653626854549139780110706401776552304967341819096667587316024516273182207046524282643217494598434920154581017800811914849587700629925657 has 174 digits``` `GMP-ECM 6.3`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 13, 2013 15:00:00 UTC 2013 年 2 月 14 日 (木) 0 時 0 分 0 秒 (日本時間)

## 11×10212-173

### c206

name 名前 Warut Roonguthai February 13, 2013 23:25:37 UTC 2013 年 2 月 14 日 (木) 8 時 25 分 37 秒 (日本時間) `74475625583406505635469030225120181655529513911809891080751686551320171865370005402191059363640986049158110602126631176999922748464735757433699936215011943520664582567842386285706238477859039712637829839851<206>` `16773811772077003500712738501715738815871<41>` `4439994116744796541367539409768667393184575231896350801804600808490239840098371326282680335890127293593938096027219395762106216545038668584635552807255424175934783381<166>` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=335809721 Step 1 took 12121ms ********** Factor found in step 1: 16773811772077003500712738501715738815871 Found probable prime factor of 41 digits: 16773811772077003500712738501715738815871 Composite cofactor 4439994116744796541367539409768667393184575231896350801804600808490239840098371326282680335890127293593938096027219395762106216545038668584635552807255424175934783381 has 166 digits``` `GMP-ECM 6.3`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 13, 2013 15:00:00 UTC 2013 年 2 月 14 日 (木) 0 時 0 分 0 秒 (日本時間)
403e613001000Dmitry DomanovFebruary 16, 2013 10:03:07 UTC 2013 年 2 月 16 日 (土) 19 時 3 分 7 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:41:45 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 45 秒 (日本時間)
4511e6595 / 4188295CypFebruary 17, 2014 03:11:18 UTC 2014 年 2 月 17 日 (月) 12 時 11 分 18 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:31:28 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 28 秒 (日本時間)

## 11×10213-173

### c195

name 名前 Warut Roonguthai February 13, 2013 15:42:14 UTC 2013 年 2 月 14 日 (木) 0 時 42 分 14 秒 (日本時間) `272705174296116273432439355101574508417490804701693446253495319365389761999211673783693417265984301908713812961738610560640756658444478746766072931956182253301922528058912731134920084655340180611<195>` `1103929022031776865347686499059967442749<40>` `247031438483430313036109389742329576620152718457352574467786199822814748491601561858796056264703216803768612807184183812108113852214108991617149101469736639<156>` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2733158530 Step 1 took 12153ms Step 2 took 7020ms ********** Factor found in step 2: 1103929022031776865347686499059967442749 Found probable prime factor of 40 digits: 1103929022031776865347686499059967442749 Composite cofactor 247031438483430313036109389742329576620152718457352574467786199822814748491601561858796056264703216803768612807184183812108113852214108991617149101469736639 has 156 digits``` `GMP-ECM 6.3`

### c156

name 名前 Dmitry Domanov February 15, 2013 12:51:40 UTC 2013 年 2 月 15 日 (金) 21 時 51 分 40 秒 (日本時間) `247031438483430313036109389742329576620152718457352574467786199822814748491601561858796056264703216803768612807184183812108113852214108991617149101469736639<156>` ```1018856764235285159530470400540277383<37> 681378114231321068503298995846810886743498631<45> 355836844418633029262628440960643832433438667744321461222318595329845032943<75>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1548827314 Step 1 took 19746ms Step 2 took 8003ms ********** Factor found in step 2: 1018856764235285159530470400540277383 Found probable prime factor of 37 digits: 1018856764235285159530470400540277383 Composite cofactor 242459438023992159000836935694826182879257029745687303336027936597400996309136721533045758838208789147743792933270401033 has 120 digits prp75 = 355836844418633029262628440960643832433438667744321461222318595329845032943 prp45 = 681378114231321068503298995846810886743498631 NFS elapsed time = 12964.3253 seconds. Fri Feb 15 15:59:43 2013 commencing relation filtering Fri Feb 15 15:59:43 2013 estimated available RAM is 48289.8 MB Fri Feb 15 15:59:43 2013 commencing duplicate removal, pass 1 Fri Feb 15 16:01:51 2013 found 905060 hash collisions in 10380161 relations Fri Feb 15 16:02:10 2013 added 62537 free relations Fri Feb 15 16:02:10 2013 commencing duplicate removal, pass 2 Fri Feb 15 16:02:14 2013 found 620745 duplicates and 9821953 unique relations Fri Feb 15 16:02:14 2013 memory use: 34.6 MB Fri Feb 15 16:02:14 2013 reading ideals above 100000 Fri Feb 15 16:02:14 2013 commencing singleton removal, initial pass Fri Feb 15 16:04:36 2013 memory use: 344.5 MB Fri Feb 15 16:04:36 2013 reading all ideals from disk Fri Feb 15 16:04:36 2013 memory use: 347.2 MB Fri Feb 15 16:04:36 2013 keeping 10864177 ideals with weight <= 200, target excess is 50457 Fri Feb 15 16:04:37 2013 commencing in-memory singleton removal Fri Feb 15 16:04:38 2013 begin with 9821953 relations and 10864177 unique ideals Fri Feb 15 16:04:45 2013 reduce to 3480548 relations and 3354497 ideals in 20 passes Fri Feb 15 16:04:45 2013 max relations containing the same ideal: 100 Fri Feb 15 16:04:47 2013 removing 403538 relations and 369778 ideals in 33760 cliques Fri Feb 15 16:04:47 2013 commencing in-memory singleton removal Fri Feb 15 16:04:47 2013 begin with 3077010 relations and 3354497 unique ideals Fri Feb 15 16:04:49 2013 reduce to 3040096 relations and 2947269 ideals in 10 passes Fri Feb 15 16:04:49 2013 max relations containing the same ideal: 92 Fri Feb 15 16:04:51 2013 removing 293112 relations and 259352 ideals in 33760 cliques Fri Feb 15 16:04:51 2013 commencing in-memory singleton removal Fri Feb 15 16:04:51 2013 begin with 2746984 relations and 2947269 unique ideals Fri Feb 15 16:04:54 2013 reduce to 2723832 relations and 2664493 ideals in 8 passes Fri Feb 15 16:04:54 2013 max relations containing the same ideal: 87 Fri Feb 15 16:04:56 2013 relations with 0 large ideals: 139 Fri Feb 15 16:04:56 2013 relations with 1 large ideals: 461 Fri Feb 15 16:04:56 2013 relations with 2 large ideals: 6940 Fri Feb 15 16:04:56 2013 relations with 3 large ideals: 56883 Fri Feb 15 16:04:56 2013 relations with 4 large ideals: 242492 Fri Feb 15 16:04:56 2013 relations with 5 large ideals: 585115 Fri Feb 15 16:04:56 2013 relations with 6 large ideals: 811869 Fri Feb 15 16:04:56 2013 relations with 7+ large ideals: 1019933 Fri Feb 15 16:04:56 2013 commencing 2-way merge Fri Feb 15 16:04:58 2013 reduce to 1525935 relation sets and 1466596 unique ideals Fri Feb 15 16:04:58 2013 commencing full merge Fri Feb 15 16:05:28 2013 memory use: 163.6 MB Fri Feb 15 16:05:28 2013 found 755263 cycles, need 748796 Fri Feb 15 16:05:29 2013 weight of 748796 cycles is about 52424170 (70.01/cycle) Fri Feb 15 16:05:29 2013 distribution of cycle lengths: Fri Feb 15 16:05:29 2013 1 relations: 94404 Fri Feb 15 16:05:29 2013 2 relations: 89061 Fri Feb 15 16:05:29 2013 3 relations: 88262 Fri Feb 15 16:05:29 2013 4 relations: 77475 Fri Feb 15 16:05:29 2013 5 relations: 67130 Fri Feb 15 16:05:29 2013 6 relations: 56639 Fri Feb 15 16:05:29 2013 7 relations: 49647 Fri Feb 15 16:05:29 2013 8 relations: 41360 Fri Feb 15 16:05:29 2013 9 relations: 34858 Fri Feb 15 16:05:29 2013 10+ relations: 149960 Fri Feb 15 16:05:29 2013 heaviest cycle: 24 relations Fri Feb 15 16:05:29 2013 commencing cycle optimization Fri Feb 15 16:05:30 2013 start with 4518981 relations Fri Feb 15 16:05:37 2013 pruned 83322 relations Fri Feb 15 16:05:37 2013 memory use: 155.1 MB Fri Feb 15 16:05:37 2013 distribution of cycle lengths: Fri Feb 15 16:05:37 2013 1 relations: 94404 Fri Feb 15 16:05:37 2013 2 relations: 90863 Fri Feb 15 16:05:37 2013 3 relations: 90819 Fri Feb 15 16:05:37 2013 4 relations: 78664 Fri Feb 15 16:05:37 2013 5 relations: 68168 Fri Feb 15 16:05:37 2013 6 relations: 56961 Fri Feb 15 16:05:37 2013 7 relations: 49728 Fri Feb 15 16:05:37 2013 8 relations: 41108 Fri Feb 15 16:05:37 2013 9 relations: 34421 Fri Feb 15 16:05:37 2013 10+ relations: 143660 Fri Feb 15 16:05:37 2013 heaviest cycle: 24 relations Fri Feb 15 16:05:38 2013 RelProcTime: 355 Fri Feb 15 16:05:39 2013 Fri Feb 15 16:05:39 2013 commencing linear algebra Fri Feb 15 16:05:39 2013 read 748796 cycles Fri Feb 15 16:05:40 2013 cycles contain 2644958 unique relations Fri Feb 15 16:06:13 2013 read 2644958 relations Fri Feb 15 16:06:16 2013 using 20 quadratic characters above 134216142 Fri Feb 15 16:06:30 2013 building initial matrix Fri Feb 15 16:06:58 2013 memory use: 338.0 MB Fri Feb 15 16:06:58 2013 read 748796 cycles Fri Feb 15 16:06:59 2013 matrix is 748617 x 748796 (225.0 MB) with weight 71368370 (95.31/col) Fri Feb 15 16:06:59 2013 sparse part has weight 50735490 (67.76/col) Fri Feb 15 16:07:06 2013 filtering completed in 2 passes Fri Feb 15 16:07:06 2013 matrix is 746942 x 747120 (224.8 MB) with weight 71296966 (95.43/col) Fri Feb 15 16:07:06 2013 sparse part has weight 50713327 (67.88/col) Fri Feb 15 16:07:08 2013 matrix starts at (0, 0) Fri Feb 15 16:07:08 2013 matrix is 746942 x 747120 (224.8 MB) with weight 71296966 (95.43/col) Fri Feb 15 16:07:08 2013 sparse part has weight 50713327 (67.88/col) Fri Feb 15 16:07:08 2013 saving the first 48 matrix rows for later Fri Feb 15 16:07:09 2013 matrix includes 64 packed rows Fri Feb 15 16:07:09 2013 matrix is 746894 x 747120 (217.2 MB) with weight 56425423 (75.52/col) Fri Feb 15 16:07:09 2013 sparse part has weight 49477664 (66.22/col) Fri Feb 15 16:07:09 2013 using block size 262144 for processor cache size 12288 kB Fri Feb 15 16:07:11 2013 commencing Lanczos iteration (16 threads) Fri Feb 15 16:07:11 2013 memory use: 316.6 MB Fri Feb 15 16:07:19 2013 linear algebra at 0.4%, ETA 0h32m Fri Feb 15 16:39:28 2013 lanczos halted after 11813 iterations (dim = 746892) Fri Feb 15 16:39:29 2013 recovered 31 nontrivial dependencies Fri Feb 15 16:39:29 2013 BLanczosTime: 2030 Fri Feb 15 16:39:29 2013 Fri Feb 15 16:39:29 2013 commencing square root phase Fri Feb 15 16:39:29 2013 reading relations for dependency 1 Fri Feb 15 16:39:29 2013 read 373537 cycles Fri Feb 15 16:39:30 2013 cycles contain 1323964 unique relations Fri Feb 15 16:39:47 2013 read 1323964 relations Fri Feb 15 16:39:53 2013 multiplying 1323964 relations Fri Feb 15 16:41:23 2013 multiply complete, coefficients have about 55.64 million bits Fri Feb 15 16:41:24 2013 initial square root is modulo 97183687 Fri Feb 15 16:43:22 2013 GCD is N, no factor found Fri Feb 15 16:43:22 2013 reading relations for dependency 2 Fri Feb 15 16:43:22 2013 read 373869 cycles Fri Feb 15 16:43:22 2013 cycles contain 1321704 unique relations Fri Feb 15 16:43:39 2013 read 1321704 relations Fri Feb 15 16:43:45 2013 multiplying 1321704 relations Fri Feb 15 16:45:12 2013 multiply complete, coefficients have about 55.54 million bits Fri Feb 15 16:45:13 2013 initial square root is modulo 94137397 Fri Feb 15 16:47:07 2013 sqrtTime: 458```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 13, 2013 15:00:00 UTC 2013 年 2 月 14 日 (木) 0 時 0 分 0 秒 (日本時間)

## 11×10214-173

### c163

composite cofactor 合成数の残り `1421802971635214546463681251947197072096693117586074952091911262166100112016743714527475358425057964336115982542161557039159636665430425045052772967664659490579227<163>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 13, 2013 15:00:00 UTC 2013 年 2 月 14 日 (木) 0 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 15, 2013 16:37:55 UTC 2013 年 2 月 16 日 (土) 1 時 37 分 55 秒 (日本時間)
403e62200Warut RoonguthaiFebruary 15, 2013 16:37:55 UTC 2013 年 2 月 16 日 (土) 1 時 37 分 55 秒 (日本時間)
4511e6300 / 3929Serge BatalovMay 27, 2014 00:31:28 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 28 秒 (日本時間)

## 11×10215-173

### c179

name 名前 Dmitry Domanov February 15, 2013 09:11:59 UTC 2013 年 2 月 15 日 (金) 18 時 11 分 59 秒 (日本時間) `23676430688825868429805372617886411427263449712294318257383104679008174836350897966683667825716102881677360672958325978401145009932439105570143128175065434502837906956753873761389<179>` ```5718014901116210201531004151582734259624951<43> 4140673135392495538071245727989234662896298918337541156592398799166432180606181671444882644501313454860467184157850955827128537913553339<136>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4091657944 Step 1 took 23261ms Step 2 took 8937ms ********** Factor found in step 2: 5718014901116210201531004151582734259624951 Found probable prime factor of 43 digits: 5718014901116210201531004151582734259624951```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 13, 2013 15:00:00 UTC 2013 年 2 月 14 日 (木) 0 時 0 分 0 秒 (日本時間)

## 11×10217-173

### c167

name 名前 Warut Roonguthai February 13, 2013 15:58:14 UTC 2013 年 2 月 14 日 (木) 0 時 58 分 14 秒 (日本時間) `29428595991803369259067302392860002135339235771029201259537641604713174904343256219271134360337933072806354077141728618896242081099288570345473670910580108532594197573<167>` ```426820507257382779916033042828667<33> 15273096772971902881631870518881671<35> 4514370109322328632373126487962573348688383176491392788898212272063671217991209883647650823211390089<100>``` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2787937108 Step 1 took 7862ms Step 2 took 5819ms ********** Factor found in step 2: 426820507257382779916033042828667 Found probable prime factor of 33 digits: 426820507257382779916033042828667 Composite cofactor 68948411548691673860624326401682512999854178195395333460586452717482777248602014679719371865582297040964553271985161836988105613158719 has 134 digits Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2152865031 Step 1 took 5413ms Step 2 took 4618ms ********** Factor found in step 2: 15273096772971902881631870518881671 Found probable prime factor of 35 digits: 15273096772971902881631870518881671 Probable prime cofactor 4514370109322328632373126487962573348688383176491392788898212272063671217991209883647650823211390089 has 100 digits``` `GMP-ECM 6.3`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 13, 2013 15:00:00 UTC 2013 年 2 月 14 日 (木) 0 時 0 分 0 秒 (日本時間)

## 11×10218-173

### c172

name 名前 Warut Roonguthai February 13, 2013 16:11:24 UTC 2013 年 2 月 14 日 (木) 1 時 11 分 24 秒 (日本時間) `1860625507810444795039056708314488095508506667875767325383600380672859577377209052679749583076366246799206481896589335846522348290986943791697246277948512051264067246698383<172>` `880253532186305033876714567175379739539<39>` `2113738189938492322864159283849415260211599230956569681719991415807500460480049481685184334998695139641174508086446594997504910702997<133>` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=689010612 Step 1 took 7847ms Step 2 took 5897ms ********** Factor found in step 2: 880253532186305033876714567175379739539 Found probable prime factor of 39 digits: 880253532186305033876714567175379739539 Composite cofactor 2113738189938492322864159283849415260211599230956569681719991415807500460480049481685184334998695139641174508086446594997504910702997 has 133 digits``` `GMP-ECM 6.3`

### c133

name 名前 Warut Roonguthai February 23, 2013 13:34:01 UTC 2013 年 2 月 23 日 (土) 22 時 34 分 1 秒 (日本時間) `2113738189938492322864159283849415260211599230956569681719991415807500460480049481685184334998695139641174508086446594997504910702997<133>` ```36638563143884706655168869789286806389959630571063<50> 57691623485275609778277250851081991593147133723221856343470740820990777740451305619<83>``` ```N = 2113738189938492322864159283849415260211599230956569681719991415807500460480049481685184334998695139641174508086446594997504910702997 (133 digits) Divisors found: r1=36638563143884706655168869789286806389959630571063 (pp50) r2=57691623485275609778277250851081991593147133723221856343470740820990777740451305619 (pp83) Version: Msieve v. 1.49 (SVN unknown) Total time: 36.01 hours. Factorization parameters were as follows: n: 2113738189938492322864159283849415260211599230956569681719991415807500460480049481685184334998695139641174508086446594997504910702997 Y0: -80846286141046415062680457 Y1: 193983178161877 c0: 19253446504018670948901254887939200 c1: 198674986678449517042703781600 c2: 6324858420216037344188 c3: -22480691880197219 c4: -352337320 c5: 612 skew: 4044342.45 type: gnfs Factor base limits: 8400000/8400000 Large primes per side: 3 Large prime bits: 28/28 Sieved algebraic special-q in [0, 0) Total raw relations: 21575371 Relations: 2967492 relations Pruned matrix : 1701206 x 1701437 Polynomial selection time: 0.00 hours. Total sieving time: 33.51 hours. Total relation processing time: 0.10 hours. Matrix solve time: 2.30 hours. time per square root: 0.10 hours. Prototype def-par.txt line would be: gnfs,132,5,65,2000,1e-05,0.28,250,20,50000,3600,8400000,8400000,28,28,55,55,2.5,2.5,100000 total time: 36.01 hours. Intel64 Family 6 Model 42 Stepping 7, GenuineIntel Windows-7-6.1.7601-SP1 processors: 8, speed: 2.19GHz```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 13, 2013 15:00:00 UTC 2013 年 2 月 14 日 (木) 0 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 14, 2013 18:20:04 UTC 2013 年 2 月 15 日 (金) 3 時 20 分 4 秒 (日本時間)
403e64500Warut RoonguthaiFebruary 14, 2013 18:20:04 UTC 2013 年 2 月 15 日 (金) 3 時 20 分 4 秒 (日本時間)

## 11×10219-173

### c196

name 名前 Warut Roonguthai February 14, 2013 03:47:59 UTC 2013 年 2 月 14 日 (木) 12 時 47 分 59 秒 (日本時間) `2217444106898630282564423277599221798083396211338980914373674906634798934031168600754047701654481297574412075771041846834735020538840409755502736518331930144366062552184048425002962861008876040163<196>` ```1975893404496570724326183810129432229<37> 1122248853026362122894608154860638045179990942671861917650652166336670343335066624086284902162690159075433966345373746892535356893360829978049062414564510172647<160>``` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1304965834 Step 1 took 12090ms Step 2 took 7020ms ********** Factor found in step 2: 1975893404496570724326183810129432229 Found probable prime factor of 37 digits: 1975893404496570724326183810129432229 Probable prime cofactor 1122248853026362122894608154860638045179990942671861917650652166336670343335066624086284902162690159075433966345373746892535356893360829978049062414564510172647 has 160 digits``` `GMP-ECM 6.3`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 13, 2013 15:00:00 UTC 2013 年 2 月 14 日 (木) 0 時 0 分 0 秒 (日本時間)

## 11×10220-173

### c168

name 名前 Warut Roonguthai February 13, 2013 17:38:01 UTC 2013 年 2 月 14 日 (木) 2 時 38 分 1 秒 (日本時間) `124625100276521074897133239629633885276292931104542485145488387438161770274583005508897895795195633132558798442825731984352410113205295604761274167410153813035858048621<168>` `509723694033215752918030333421<30>` `244495403559560595946918568780527335662918737654009447378339204757170038015283885994695107676978532150927403173928976027055395525225411201<138>` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=505717753 Step 1 took 7878ms Step 2 took 5866ms ********** Factor found in step 2: 509723694033215752918030333421 Found probable prime factor of 30 digits: 509723694033215752918030333421 Composite cofactor 244495403559560595946918568780527335662918737654009447378339204757170038015283885994695107676978532150927403173928976027055395525225411201 has 138 digits``` `GMP-ECM 6.3`

### c138

name 名前 Warut Roonguthai February 15, 2013 11:45:56 UTC 2013 年 2 月 15 日 (金) 20 時 45 分 56 秒 (日本時間) `244495403559560595946918568780527335662918737654009447378339204757170038015283885994695107676978532150927403173928976027055395525225411201<138>` ```16369798944764398208806317751441597<35> 46372307063330922268479957176386513489927<41> 322083628760553143456226561023958501799261763762140865569566979<63>``` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4006843344 Step 1 took 5413ms Step 2 took 4056ms ********** Factor found in step 2: 16369798944764398208806317751441597 Found probable prime factor of 35 digits: 16369798944764398208806317751441597 Composite cofactor 14935760932956253115151725811286812331832460290399723297766940436113948132125467857851969191655468320533 has 104 digits N = 14935760932956253115151725811286812331832460290399723297766940436113948132125467857851969191655468320533 (104 digits) Divisors found: r1=46372307063330922268479957176386513489927 (pp41) r2=322083628760553143456226561023958501799261763762140865569566979 (pp63) Version: Msieve v. 1.48 Total time: 2.11 hours. Factorization parameters were as follows: n: 14935760932956253115151725811286812331832460290399723297766940436113948132125467857851969191655468320533 Y0: -15422399863026731795203544 Y1: 75194631476449 c0: 19492452214519081250012429205 c1: -94036354177576012499064 c2: -4622561532897835 c3: 1943811658 c4: 264 skew: 6481162.78 type: gnfs Factor base limits: 2300000/2300000 Large primes per side: 3 Large prime bits: 26/26 Sieved algebraic special-q in [0, 0) Total raw relations: 4974028 Relations: 419414 relations Pruned matrix : 249516 x 249742 Polynomial selection time: 0.00 hours. Total sieving time: 1.98 hours. Total relation processing time: 0.02 hours. Matrix solve time: 0.07 hours. time per square root: 0.03 hours. Prototype def-par.txt line would be: gnfs,103,4,59,2000,0.0009,0.35,200,15,15000,2000,2300000,2300000,26,26,49,49,2.6,2.6,100000 total time: 2.11 hours. Intel64 Family 6 Model 42 Stepping 7, GenuineIntel Windows-7-6.1.7601-SP1 processors: 4, speed: 2.29GHz``` `GMP-ECM 6.3`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 13, 2013 15:00:00 UTC 2013 年 2 月 14 日 (木) 0 時 0 分 0 秒 (日本時間)

## 11×10222-173

### c194

name 名前 Erik Branger November 4, 2020 07:38:33 UTC 2020 年 11 月 4 日 (水) 16 時 38 分 33 秒 (日本時間) `19413341542526882611309881231735412829136801236175880001019691174229674723093761276072105925440083900438233060038991702407176467923375210508797198460053126938697172375196727222153194443698128503<194>` ```13339869796679129635933281039534015790352983134799159662707712833402768479834912866802417<89> 1455287183339653186845096890977102459307072994181937594851999158525006112711806775379353670768643665782759<106>``` ```Number: 36661_222 N = 19413341542526882611309881231735412829136801236175880001019691174229674723093761276072105925440083900438233060038991702407176467923375210508797198460053126938697172375196727222153194443698128503 (194 digits) SNFS difficulty: 224 digits. Divisors found: r1=13339869796679129635933281039534015790352983134799159662707712833402768479834912866802417 (pp89) r2=1455287183339653186845096890977102459307072994181937594851999158525006112711806775379353670768643665782759 (pp106) Version: Msieve v. 1.52 (SVN unknown) Total time: 56.02 hours. Factorization parameters were as follows: n: 19413341542526882611309881231735412829136801236175880001019691174229674723093761276072105925440083900438233060038991702407176467923375210508797198460053126938697172375196727222153194443698128503 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 1100 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 Number of cores used: 6 Number of threads per core: 1 Factor base limits: 536870912/44739242 Large primes per side: 3 Large prime bits: 29/28 Total raw relations: 35059673 Relations: 9314850 relations Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G rational relations. Total batch smoothness checking time: 28.66 hours. Total relation processing time: 0.31 hours. Pruned matrix : 7976960 x 7977185 Matrix solve time: 26.71 hours. time per square root: 0.34 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: 56.02 hours. Intel64 Family 6 Model 158 Stepping 10, GenuineIntel Windows-10-10.0.18362-SP0 processors: 12, speed: 3.19GHz``` `GGNFS, NFS_factory, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 13, 2013 15:00:00 UTC 2013 年 2 月 14 日 (木) 0 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovFebruary 16, 2013 10:03:32 UTC 2013 年 2 月 16 日 (土) 19 時 3 分 32 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:41:45 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 45 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:23 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 23 秒 (日本時間)

## 11×10223-173

### c220

name 名前 Warut Roonguthai February 13, 2013 18:22:41 UTC 2013 年 2 月 14 日 (木) 3 時 22 分 41 秒 (日本時間) `3688428394192401837507963652214733594876437648794554538443483217650806424571639338765382422962143312208697984776850082151359688830768199041008617509975522247929450424169265332126211313415820004694363410790329611373771921<220>` `185012839331717579345553313947467<33>` `19936067180609329986476813552110581713673595201361898904362047345764955460896324763833777022066041658262206881174735417992099876370365108843277810968680635312980097094431212702857638444563<188>` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1929899695 Step 1 took 12527ms Step 2 took 7207ms ********** Factor found in step 2: 185012839331717579345553313947467 Found probable prime factor of 33 digits: 185012839331717579345553313947467 Composite cofactor 19936067180609329986476813552110581713673595201361898904362047345764955460896324763833777022066041658262206881174735417992099876370365108843277810968680635312980097094431212702857638444563 has 188 digits``` `GMP-ECM 6.3`

### c188

name 名前 Serge Batalov May 27, 2014 06:11:59 UTC 2014 年 5 月 27 日 (火) 15 時 11 分 59 秒 (日本時間) `19936067180609329986476813552110581713673595201361898904362047345764955460896324763833777022066041658262206881174735417992099876370365108843277810968680635312980097094431212702857638444563<188>` ```837158280170722650344079195179135599769<39> 23813975986170434688751498580481358331508928248749454107831873735802246743022610643875856645193479164946379969368354744666916235883007196880038713227<149>``` ```Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=4142725269 Step 1 took 55288ms ********** Factor found in step 1: 837158280170722650344079195179135599769 Found probable prime factor of 39 digits: 837158280170722650344079195179135599769 Probable prime cofactor```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 13, 2013 15:00:00 UTC 2013 年 2 月 14 日 (木) 0 時 0 分 0 秒 (日本時間)
403e613001000Dmitry DomanovFebruary 16, 2013 10:03:41 UTC 2013 年 2 月 16 日 (土) 19 時 3 分 41 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:41:46 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 46 秒 (日本時間)
4511e6595 / 4188295CypFebruary 19, 2014 06:54:59 UTC 2014 年 2 月 19 日 (水) 15 時 54 分 59 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:31:29 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 29 秒 (日本時間)

## 11×10224-173

### c201

name 名前 Warut Roonguthai February 13, 2013 18:25:04 UTC 2013 年 2 月 14 日 (木) 3 時 25 分 4 秒 (日本時間) `242970400379947179790873458228326830060534807683258955291326429048956237869909531729348935555753768586608268904017155081570784846277940909808511894396403815543689814527885757020237319735482849957178279<201>` `13492906108660868049188688239759<32>` `18007269777412042637913591957823675018860452491682889730376350224243804039863522988414064385557194379958730008252302704790029616182049589148804639975451639996813990034281<170>` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3648557838 Step 1 took 12199ms Step 2 took 6989ms ********** Factor found in step 2: 13492906108660868049188688239759 Found probable prime factor of 32 digits: 13492906108660868049188688239759 Composite cofactor 18007269777412042637913591957823675018860452491682889730376350224243804039863522988414064385557194379958730008252302704790029616182049589148804639975451639996813990034281 has 170 digits``` `GMP-ECM 6.3`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 13, 2013 15:00:00 UTC 2013 年 2 月 14 日 (木) 0 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovFebruary 16, 2013 10:03:50 UTC 2013 年 2 月 16 日 (土) 19 時 3 分 50 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:41:47 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 47 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:23 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 23 秒 (日本時間)

## 11×10225-173

### c186

composite cofactor 合成数の残り `250565618645769924085443659409934171082841922265026935977988008927617632445001210559124658080656906552032465225458617226996581458365661252245416314142907336452413082978929437664700492151<186>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 13, 2013 15:00:00 UTC 2013 年 2 月 14 日 (木) 0 時 0 分 0 秒 (日本時間)
403e613001000Dmitry DomanovFebruary 16, 2013 10:04:01 UTC 2013 年 2 月 16 日 (土) 19 時 4 分 1 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:41:48 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 48 秒 (日本時間)
4511e6300 / 3682Serge BatalovMay 27, 2014 00:31:29 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 29 秒 (日本時間)
5043e6144 / 7436CypFebruary 6, 2014 06:05:06 UTC 2014 年 2 月 6 日 (木) 15 時 5 分 6 秒 (日本時間)

## 11×10226-173

### c222

name 名前 Bob Backstrom August 5, 2018 23:09:00 UTC 2018 年 8 月 6 日 (月) 8 時 9 分 0 秒 (日本時間) `253982327447870127291324656373455614279348235169163774731529135236353644992738414365240440451534399597322564482649543639936181167903098815287888968162160789284716497999311938785641224564247138658188274790406856599268992683<222>` ```16982009091648732717827875730431003634679638807<47> 14955964637468683575345637360703949575707751236067357160726703720940911094478453963113214710618131198630935714233602024874417131699516642351245770405801862875008780151826845069<176>``` ```GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM] Input number is 253982327447870127291324656373455614279348235169163774731529135236353644992738414365240440451534399597322564482649543639936181167903098815287888968162160789284716497999311938785641224564247138658188274790406856599268992683 (222 digits) Using B1=32190000, B2=144291357226, polynomial Dickson(12), sigma=1:1801374163 Step 1 took 424328ms Step 2 took 103250ms ********** Factor found in step 2: 16982009091648732717827875730431003634679638807 Found probable prime factor of 47 digits: 16982009091648732717827875730431003634679638807 Probable prime cofactor 14955964637468683575345637360703949575707751236067357160726703720940911094478453963113214710618131198630935714233602024874417131699516642351245770405801862875008780151826845069 has 176 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 13, 2013 15:00:00 UTC 2013 年 2 月 14 日 (木) 0 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovFebruary 16, 2013 10:04:10 UTC 2013 年 2 月 16 日 (土) 19 時 4 分 10 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:41:50 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 50 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:23 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 23 秒 (日本時間)

## 11×10227-173

### c194

composite cofactor 合成数の残り `83346303949758044546069365774833289919718844313977749848926643805397314280884629805011836592057827420956842859250775537534275915508202929473795068729000462989399076816244028957163490937413450897<194>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 13, 2013 15:00:00 UTC 2013 年 2 月 14 日 (木) 0 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovFebruary 16, 2013 10:04:19 UTC 2013 年 2 月 16 日 (土) 19 時 4 分 19 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:41:51 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 51 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:24 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 24 秒 (日本時間)

## 11×10228-173

### c220

name 名前 Warut Roonguthai February 13, 2013 18:28:11 UTC 2013 年 2 月 14 日 (木) 3 時 28 分 11 秒 (日本時間) `2831537278040429416703529227780195863420936337159152313346148268708541533727439407867503499296783727105222115574773161307785576134330185710776707811315271530036893517538352573303510831076570450893530238569502754302336651<220>` `6299147436224984257719554319973<31>` `449511192857130717688116078795126261780899771933878373645310288046356877297264673018229885604113401620459715018392535896083932147496904003668733380020782860418684522548714627568661373463087<189>` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1358572791 Step 1 took 14196ms Step 2 took 7831ms ********** Factor found in step 2: 6299147436224984257719554319973 Found probable prime factor of 31 digits: 6299147436224984257719554319973 Composite cofactor 449511192857130717688116078795126261780899771933878373645310288046356877297264673018229885604113401620459715018392535896083932147496904003668733380020782860418684522548714627568661373463087 has 189 digits``` `GMP-ECM 6.3`

### c189

name 名前 Warut Roonguthai February 14, 2013 13:18:48 UTC 2013 年 2 月 14 日 (木) 22 時 18 分 48 秒 (日本時間) `449511192857130717688116078795126261780899771933878373645310288046356877297264673018229885604113401620459715018392535896083932147496904003668733380020782860418684522548714627568661373463087<189>` `100646587948692700802900833714032541261<39>` `4466233799066105564363469887182117601614194238887651842282975424773306936584226967716973216512905213667410565199993918269537103843939955033385398722667<151>` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1355999982 Step 1 took 10545ms Step 2 took 6583ms ********** Factor found in step 2: 100646587948692700802900833714032541261 Found probable prime factor of 39 digits: 100646587948692700802900833714032541261 Composite cofactor 4466233799066105564363469887182117601614194238887651842282975424773306936584226967716973216512905213667410565199993918269537103843939955033385398722667 has 151 digits``` `GMP-ECM 6.3`

### c151

name 名前 Warut Roonguthai February 16, 2013 13:15:55 UTC 2013 年 2 月 16 日 (土) 22 時 15 分 55 秒 (日本時間) `4466233799066105564363469887182117601614194238887651842282975424773306936584226967716973216512905213667410565199993918269537103843939955033385398722667<151>` ```9658903121404497695153778713061763854053<40> 10260743536014854104023832364581993597459889<44> 45064526375065664634659277443251973902354691002842108683726363625151<68>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1845168883 Step 1 took 19781ms Step 2 took 12356ms ********** Factor found in step 2: 9658903121404497695153778713061763854053 Found probable prime factor of 40 digits: 9658903121404497695153778713061763854053 Composite cofactor 462395547706525923138183945199876080215859153963268574307746252503489523367991550090527854437345823799354068239 has 111 digits N = 462395547706525923138183945199876080215859153963268574307746252503489523367991550090527854437345823799354068239 (111 digits) Divisors found: r1=10260743536014854104023832364581993597459889 (pp44) r2=45064526375065664634659277443251973902354691002842108683726363625151 (pp68) Version: Msieve v. 1.49 (SVN unknown) Total time: 3.54 hours. Factorization parameters were as follows: n: 462395547706525923138183945199876080215859153963268574307746252503489523367991550090527854437345823799354068239 Y0: -2342775891607698317756 Y1: 491489807807 c0: 55862577927976824015288057 c1: -3737861807274939392358 c2: 374204224856054461 c3: -34306230501408 c4: -1005053460 c5: 6552 skew: 34011.71 type: gnfs Factor base limits: 3200000/3200000 Large primes per side: 3 Large prime bits: 27/27 Sieved algebraic special-q in [0, 0) Total raw relations: 7814796 Relations: 623864 relations Pruned matrix : 371694 x 371920 Polynomial selection time: 0.00 hours. Total sieving time: 3.33 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.10 hours. time per square root: 0.08 hours. Prototype def-par.txt line would be: gnfs,110,5,61,2000,0.00015,0.3,250,15,50000,2400,3200000,3200000,27,27,50,50,2.6,2.6,100000 total time: 3.54 hours. Intel64 Family 6 Model 42 Stepping 7, GenuineIntel Windows-7-6.1.7601-SP1 processors: 8, speed: 2.19GHz``` `GMP-ECM 6.3`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 13, 2013 15:00:00 UTC 2013 年 2 月 14 日 (木) 0 時 0 分 0 秒 (日本時間)

## 11×10229-173

### c167

name 名前 Warut Roonguthai February 13, 2013 19:29:11 UTC 2013 年 2 月 14 日 (木) 4 時 29 分 11 秒 (日本時間) `16113612714587472892212438711013124672830025752709218592199592251821937841334392283777558944529065138900692631650532801135699402801734048410765610320832419858389779121<167>` `1316464714388461615525134964511<31>` `12240064270976485702735994283058538937930525742829820405376385408568545067262310718965808106574209739668585195487329175693248215418174511<137>` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=255129412 Step 1 took 7816ms Step 2 took 5881ms ********** Factor found in step 2: 1316464714388461615525134964511 Found probable prime factor of 31 digits: 1316464714388461615525134964511 Composite cofactor 12240064270976485702735994283058538937930525742829820405376385408568545067262310718965808106574209739668585195487329175693248215418174511 has 137 digits``` `GMP-ECM 6.3`

### c137

name 名前 Serge Batalov November 8, 2013 00:42:53 UTC 2013 年 11 月 8 日 (金) 9 時 42 分 53 秒 (日本時間) `12240064270976485702735994283058538937930525742829820405376385408568545067262310718965808106574209739668585195487329175693248215418174511<137>` ```77016195958771024358966470344692809006323058891<47> 158928445096521551055154892632267270770266546059091664867877791152842681892810476470075821<90>``` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3101438662 Step 1 took 34345ms Step 2 took 13344ms ********** Factor found in step 2: 77016195958771024358966470344692809006323058891 Found probable prime factor of 47 digits: 77016195958771024358966470344692809006323058891 Probable prime cofactor ```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 13, 2013 15:00:00 UTC 2013 年 2 月 14 日 (木) 0 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 14, 2013 21:28:05 UTC 2013 年 2 月 15 日 (金) 6 時 28 分 5 秒 (日本時間)
403e64900Warut RoonguthaiFebruary 14, 2013 21:28:05 UTC 2013 年 2 月 15 日 (金) 6 時 28 分 5 秒 (日本時間)

## 11×10230-173

### c195

name 名前 Warut Roonguthai February 14, 2013 06:54:07 UTC 2013 年 2 月 14 日 (木) 15 時 54 分 7 秒 (日本時間) `103531787946354984389340374103305228661494041198989914745927710894555478373826570670776101069207117175839367509339062948047210855604887966989271162435132095071730616031550621998440130307505132161<195>` ```667375315241775146454659625641714083<36> 155132779984299739628094897658209734533786879856630081640805839506215119991967533484902457815631023645076276064169677464105671246567650003877722693786821584267<159>``` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3065884144 Step 1 took 11123ms Step 2 took 6537ms ********** Factor found in step 2: 667375315241775146454659625641714083 Found probable prime factor of 36 digits: 667375315241775146454659625641714083 Probable prime cofactor 155132779984299739628094897658209734533786879856630081640805839506215119991967533484902457815631023645076276064169677464105671246567650003877722693786821584267 has 159 digits``` `GMP-ECM 6.3`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 13, 2013 15:00:00 UTC 2013 年 2 月 14 日 (木) 0 時 0 分 0 秒 (日本時間)

## 11×10231-173

### c217

name 名前 Warut Roonguthai February 14, 2013 06:49:26 UTC 2013 年 2 月 14 日 (木) 15 時 49 分 26 秒 (日本時間) `6586138305606086366660007530873979163202947642725074946533151723370474896190739941989730854048833325887386107562060384546458185014104911061970657186727327763818771561510258934463182374799664730647262723358768168224273<217>` `31599652248462973363760811054430783<35>` `208424391946479101165542181127114766927847848088488027424746904000520570908128148331378661934366650044933481355749695894712926240903944478368313788040815858555268647040719511548890031<183>` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3602043011 Step 1 took 14087ms ********** Factor found in step 1: 31599652248462973363760811054430783 Found probable prime factor of 35 digits: 31599652248462973363760811054430783 Composite cofactor 208424391946479101165542181127114766927847848088488027424746904000520570908128148331378661934366650044933481355749695894712926240903944478368313788040815858555268647040719511548890031 has 183 digits``` `GMP-ECM 6.3`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 13, 2013 15:00:00 UTC 2013 年 2 月 14 日 (木) 0 時 0 分 0 秒 (日本時間)
403e613001000Dmitry DomanovFebruary 16, 2013 10:04:35 UTC 2013 年 2 月 16 日 (土) 19 時 4 分 35 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:41:51 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 51 秒 (日本時間)
4511e6605 / 4188305CypJanuary 9, 2014 20:03:23 UTC 2014 年 1 月 10 日 (金) 5 時 3 分 23 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:31:30 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 30 秒 (日本時間)

## 11×10232-173

### c197

composite cofactor 合成数の残り `14600704971629924928826459552829380304942713327770794534834833621110574489548529932074413580291783744383391965333666393403012183156624939728339575265798716461057696399731355827254662946402255267593<197>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 13, 2013 15:00:00 UTC 2013 年 2 月 14 日 (木) 0 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovFebruary 16, 2013 10:04:44 UTC 2013 年 2 月 16 日 (土) 19 時 4 分 44 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:41:52 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 52 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:24 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 24 秒 (日本時間)

## 11×10233-173

### c209

composite cofactor 合成数の残り `16470400803903846472236647916222748805644833830074547526696706650298697640199524267136676910632372794137318983352553049114316523571786511456843027952134792373172250104601521888084625217949633034231656452069013<209>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 13, 2013 15:00:00 UTC 2013 年 2 月 14 日 (木) 0 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovFebruary 16, 2013 10:04:52 UTC 2013 年 2 月 16 日 (土) 19 時 4 分 52 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:41:53 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 53 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:24 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 24 秒 (日本時間)

## 11×10234-173

### c228

name 名前 Bob Backstrom December 11, 2020 19:13:54 UTC 2020 年 12 月 12 日 (土) 4 時 13 分 54 秒 (日本時間) `178817921528746273251633375727811292862188425418304293384157938360714665005675762110195828870403775906226061258760797981152168410328347580813792883036969451087665697359738758070845287108185346466306712693099174191202883286176609<228>` ```3114834176094392646086154200307281643471635411<46> 57408488355858894405529240821162056550873131628440315245186652312269490301118061616691591231884423296583823079518449475935282944752335595916580009857251126966564326236367301366525819<182>``` ```# # N = 11x10^234-17 = 36(233)1 # n: 178817921528746273251633375727811292862188425418304293384157938360714665005675762110195828870403775906226061258760797981152168410328347580813792883036969451087665697359738758070845287108185346466306712693099174191202883286176609 m: 1000000000000000000000000000000000000000 deg: 6 c6: 11 c0: -17 skew: 1.08 # Murphy_E = 7.454e-13 type: snfs lss: 1 rlim: 58000000 alim: 58000000 lpbr: 30 lpba: 30 mfbr: 60 mfba: 60 rlambda: 2.7 alambda: 2.7 GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 178817921528746273251633375727811292862188425418304293384157938360714665005675762110195828870403775906226061258760797981152168410328347580813792883036969451087665697359738758070845287108185346466306712693099174191202883286176609 (228 digits) Using B1=70220000, B2=582190291420, polynomial Dickson(30), sigma=1:2690597514 Step 1 took 187606ms Step 2 took 79990ms ********** Factor found in step 2: 3114834176094392646086154200307281643471635411 Found prime factor of 46 digits: 3114834176094392646086154200307281643471635411 Prime cofactor 57408488355858894405529240821162056550873131628440315245186652312269490301118061616691591231884423296583823079518449475935282944752335595916580009857251126966564326236367301366525819 has 182 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 13, 2013 15:00:00 UTC 2013 年 2 月 14 日 (木) 0 時 0 分 0 秒 (日本時間)
403e613001000Dmitry DomanovFebruary 16, 2013 10:05:01 UTC 2013 年 2 月 16 日 (土) 19 時 5 分 1 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:41:55 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 55 秒 (日本時間)
4511e6300 / 3682Serge BatalovMay 27, 2014 00:31:30 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 30 秒 (日本時間)
5043e6144 / 7436CypFebruary 12, 2014 09:08:13 UTC 2014 年 2 月 12 日 (水) 18 時 8 分 13 秒 (日本時間)

## 11×10235-173

### c230

name 名前 Warut Roonguthai February 13, 2013 19:05:13 UTC 2013 年 2 月 14 日 (木) 4 時 5 分 13 秒 (日本時間) `29341995090283985165754263992063790564307917030440719433710164573915553204639342867347774396335131464141547918278809237820337897080551512139716977785175517145994831007446731608504163762476016253331316738034401088534668767553515131<230>` ```6415711509666691408503727765806689<34> 4573459240814329948507254316246650799888384572707555171774222859126083077236739191986160774454914752674192880297029651022167876771328576348648954348489690589694100917381539619019679324511411020379<196>``` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2956775171 Step 1 took 14040ms Step 2 took 8034ms ********** Factor found in step 2: 6415711509666691408503727765806689 Found probable prime factor of 34 digits: 6415711509666691408503727765806689 Probable prime cofactor 4573459240814329948507254316246650799888384572707555171774222859126083077236739191986160774454914752674192880297029651022167876771328576348648954348489690589694100917381539619019679324511411020379 has 196 digits``` `GMP-ECM 6.3`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 13, 2013 15:00:00 UTC 2013 年 2 月 14 日 (木) 0 時 0 分 0 秒 (日本時間)

## 11×10236-173

### c191

name 名前 Warut Roonguthai February 13, 2013 18:59:44 UTC 2013 年 2 月 14 日 (木) 3 時 59 分 44 秒 (日本時間) `56197770280893207966575246332261042591062327617921234302479484695277677437593971846159314597087018278350114711674565948921107272483588351211762691820361870446379589193965796459411910731440707<191>` ```668888683808018384746584520746937<33> 84016625847153448786485408814887310826097024247030276235107614289390699206860272033619566441952442084267097350849639337303482241153772431782311609180123701211<158>``` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1572573353 Step 1 took 8830ms Step 2 took 5413ms ********** Factor found in step 2: 668888683808018384746584520746937 Found probable prime factor of 33 digits: 668888683808018384746584520746937 Probable prime cofactor 84016625847153448786485408814887310826097024247030276235107614289390699206860272033619566441952442084267097350849639337303482241153772431782311609180123701211 has 158 digits``` `GMP-ECM 6.3`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 13, 2013 15:00:00 UTC 2013 年 2 月 14 日 (木) 0 時 0 分 0 秒 (日本時間)

## 11×10237-173

### c226

name 名前 Warut Roonguthai February 13, 2013 18:55:58 UTC 2013 年 2 月 14 日 (木) 3 時 55 分 58 秒 (日本時間) `5736745509511354064309170676750701472385692838531817376033610858087397089665631736836065141719883497348750823432783176705620568124024466915360719796849592033694974226143705549337491195901955009175982328833213390657461042589953<226>` `720043950754983749809111130113217<33>` `7967215756060773286491992113583851817979222689092402846792089582349363919057337662957437397268347352457201630046772976313892633062940357118781786751144655337954382068243536745110441622311763009<193>` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1331111321 Step 1 took 11544ms Step 2 took 6568ms ********** Factor found in step 2: 720043950754983749809111130113217 Found probable prime factor of 33 digits: 720043950754983749809111130113217 Composite cofactor 7967215756060773286491992113583851817979222689092402846792089582349363919057337662957437397268347352457201630046772976313892633062940357118781786751144655337954382068243536745110441622311763009 has 193 digits``` `GMP-ECM 6.3`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 13, 2013 15:00:00 UTC 2013 年 2 月 14 日 (木) 0 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovFebruary 16, 2013 10:05:11 UTC 2013 年 2 月 16 日 (土) 19 時 5 分 11 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:41:56 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 56 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:25 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 25 秒 (日本時間)

## 11×10239-173

### c223

composite cofactor 合成数の残り `6019160273030951846903883242919279330730868736223582316515332509527633041846906734491858879594385649331475664269388901051498151076197511808483450525977939542026715082040565878115298867969799954405620340073337391789615647739<223>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 13, 2013 15:00:00 UTC 2013 年 2 月 14 日 (木) 0 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovFebruary 16, 2013 10:05:20 UTC 2013 年 2 月 16 日 (土) 19 時 5 分 20 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:41:59 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 59 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:25 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 25 秒 (日本時間)

## 11×10241-173

### c171

name 名前 Warut Roonguthai February 14, 2013 06:15:33 UTC 2013 年 2 月 14 日 (木) 15 時 15 分 33 秒 (日本時間) `403681666770457874516731233134627300362468025271091196643987504352611768719036027286931501103396865161895786744655104814944721421803415072461309014284297737681891442982893<171>` ```7146431456899721213335643043968672976733<40> 56487166945498675490918209581060482728270448555695310023710520258875296663665440141167788383057464270264854948029765784472720685521<131>``` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3889060467 Step 1 took 6334ms Step 2 took 4726ms ********** Factor found in step 2: 7146431456899721213335643043968672976733 Found probable prime factor of 40 digits: 7146431456899721213335643043968672976733 Probable prime cofactor 56487166945498675490918209581060482728270448555695310023710520258875296663665440141167788383057464270264854948029765784472720685521 has 131 digits``` `GMP-ECM 6.3`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 13, 2013 15:00:00 UTC 2013 年 2 月 14 日 (木) 0 時 0 分 0 秒 (日本時間)

## 11×10242-173

### c240

name 名前 Warut Roonguthai February 14, 2013 09:09:20 UTC 2013 年 2 月 14 日 (木) 18 時 9 分 20 秒 (日本時間) `570243649559357179885951270088128564022809745982374287195438050803525142560912389839294971487817522032141005702436495593571798859512700881285640228097459823742871954380508035251425609123898392949714878175220321410057024364955935717988595127<240>` `282561787333175085782310880944337643<36>` `2018120195732517116880195318953549704735928729460594120207520042466365947338110534379817636184356109126816458239730848855398647041814505318494559152074496120314855391301962144150360594112686725047774764389<205>` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3623285374 Step 1 took 10202ms ********** Factor found in step 1: 282561787333175085782310880944337643 Found probable prime factor of 36 digits: 282561787333175085782310880944337643 Composite cofactor 2018120195732517116880195318953549704735928729460594120207520042466365947338110534379817636184356109126816458239730848855398647041814505318494559152074496120314855391301962144150360594112686725047774764389 has 205 digits``` `GMP-ECM 6.3`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 13, 2013 15:00:00 UTC 2013 年 2 月 14 日 (木) 0 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovFebruary 16, 2013 10:05:29 UTC 2013 年 2 月 16 日 (土) 19 時 5 分 29 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:42:00 UTC 2014 年 1 月 9 日 (木) 13 時 42 分 0 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:26 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 26 秒 (日本時間)

## 11×10243-173

### c180

composite cofactor 合成数の残り `166292949451703681191460561483146605037598533205493291916939888549088661473662228532794047547585461574267806243238410823614870374848713883712863085870617181849668456534320570319573<180>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 13, 2013 15:00:00 UTC 2013 年 2 月 14 日 (木) 0 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovFebruary 16, 2013 10:05:38 UTC 2013 年 2 月 16 日 (土) 19 時 5 分 38 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:42:00 UTC 2014 年 1 月 9 日 (木) 13 時 42 分 0 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:26 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 26 秒 (日本時間)

## 11×10244-173

### c220

name 名前 Warut Roonguthai February 13, 2013 18:44:04 UTC 2013 年 2 月 14 日 (木) 3 時 44 分 4 秒 (日本時間) `3995505563004646994101125221414977768370049414515190151388831857841146004020681697193415757298859245913585797591516294331863642319902690033805023962073843917831269219153974214264973518951487404946391970928076300979916551<220>` ```43236489837849249401159976082863527<35> 92410498122976185808663258478813518001697156519564636553458472750009945359383605375993645318410776187859779168677259761217470169707365039540905905742962788831336890997639372716742494113<185>``` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3792542118 Step 1 took 11513ms Step 2 took 5788ms ********** Factor found in step 2: 43236489837849249401159976082863527 Found probable prime factor of 35 digits: 43236489837849249401159976082863527 Probable prime cofactor 92410498122976185808663258478813518001697156519564636553458472750009945359383605375993645318410776187859779168677259761217470169707365039540905905742962788831336890997639372716742494113 has 185 digits``` `GMP-ECM 6.3`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 13, 2013 15:00:00 UTC 2013 年 2 月 14 日 (木) 0 時 0 分 0 秒 (日本時間)

## 11×10245-173

### c238

composite cofactor 合成数の残り `8046523594941835301867783196428683635775455438904615331587106042844856024613993815983276515001474086547486094491687169391662114711693900820700785053222523340203528328909171785298063606291383682318742418483174854490873446405569996748985017<238>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 13, 2013 15:00:00 UTC 2013 年 2 月 14 日 (木) 0 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovFebruary 16, 2013 10:05:47 UTC 2013 年 2 月 16 日 (土) 19 時 5 分 47 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:42:01 UTC 2014 年 1 月 9 日 (木) 13 時 42 分 1 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:26 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 26 秒 (日本時間)

## 11×10247-173

### c244

composite cofactor 合成数の残り `4165246696202052330644855920330190465371653602938392214775266007800371085614752546480366541709265780605096747320989056760952705517058578514900223408686432655534098224090272255670415388693248513764247036994963838085501154909311219659964406073687<244>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 13, 2013 15:00:00 UTC 2013 年 2 月 14 日 (木) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 16, 2013 10:07:18 UTC 2013 年 2 月 16 日 (土) 19 時 7 分 18 秒 (日本時間)
4511e61000Dmitry DomanovFebruary 17, 2013 13:17:31 UTC 2013 年 2 月 17 日 (日) 22 時 17 分 31 秒 (日本時間)
5043e6920 / 7252500Dmitry DomanovMarch 7, 2013 14:36:55 UTC 2013 年 3 月 7 日 (木) 23 時 36 分 55 秒 (日本時間)
420Dmitry DomanovMarch 15, 2013 20:43:12 UTC 2013 年 3 月 16 日 (土) 5 時 43 分 12 秒 (日本時間)
5511e716 / 17371Dmitry DomanovMarch 19, 2013 05:42:56 UTC 2013 年 3 月 19 日 (火) 14 時 42 分 56 秒 (日本時間)

## 11×10248-173

### c235

name 名前 Dmitry Domanov February 16, 2013 06:38:34 UTC 2013 年 2 月 16 日 (土) 15 時 38 分 34 秒 (日本時間) `5655823875142873691543787457119894331699105290473656616831839927248847748853754331775129895928797757079018478458355564123836757686377322723439552000225720147912878277103638638147874208942170217936873786259564282109923846587445942056939<235>` ```2168450284525865065109125520493805609<37> 2771245074976058714013276256878363559<37>``` `941177362697194887145655713735013962510113090405578146261026045634529757792022766517604732364294220252057890889185197851354235103547271088506749288051658311213269<162>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3470810898 Step 1 took 34971ms Step 2 took 12227ms ********** Factor found in step 2: 2168450284525865065109125520493805609 Found probable prime factor of 37 digits: 2168450284525865065109125520493805609 Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1385301374 Step 1 took 26705ms Step 2 took 9966ms ********** Factor found in step 2: 2771245074976058714013276256878363559 Found probable prime factor of 37 digits: 2771245074976058714013276256878363559```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e613118118Makoto KamadaFebruary 13, 2013 15:00:00 UTC 2013 年 2 月 14 日 (木) 0 時 0 分 0 秒 (日本時間)
13000Warut RoonguthaiFebruary 16, 2013 15:20:39 UTC 2013 年 2 月 17 日 (日) 0 時 20 分 39 秒 (日本時間)
403e60--
4511e627501500Dmitry DomanovMay 22, 2013 14:43:10 UTC 2013 年 5 月 22 日 (水) 23 時 43 分 10 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:13:03 UTC 2013 年 11 月 9 日 (土) 2 時 13 分 3 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:26:44 UTC 2014 年 1 月 6 日 (月) 11 時 26 分 44 秒 (日本時間)
5043e6400 / 6858Erik BrangerMarch 21, 2014 08:35:50 UTC 2014 年 3 月 21 日 (金) 17 時 35 分 50 秒 (日本時間)

## 11×10249-173

### c232

name 名前 Cyp January 8, 2014 07:59:48 UTC 2014 年 1 月 8 日 (水) 16 時 59 分 48 秒 (日本時間) `3777244110377142763528432758496467991347071109137261532393285468588059996192216834157499956306579497589304145549192147133389501320426705096104075124225209541816835448488646875748000962317613771829824411877692901891257880139676878183<232>` `125673278677320028679615573201542121051611<42>` `30056064026750130723364057442838596413247139116699771753280217654423726572416275010860239721082636915830572714965001606253640135171558718935345683638905433212970657846483815456701571074314853<191>` ```Run 190 out of 392: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1167177207 Step 1 took 93529ms Step 2 took 25617ms ********** Factor found in step 2: 125673278677320028679615573201542121051611 Found probable prime factor of 42 digits: 125673278677320028679615573201542121051611 Composite cofactor 30056064026750130723364057442838596413247139116699771753280217654423726572416275010860239721082636915830572714965001606253640135171558718935345683638905433212970657846483815456701571074314853 has 191 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 KamadaFebruary 13, 2013 15:00:00 UTC 2013 年 2 月 14 日 (木) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 16, 2013 10:07:33 UTC 2013 年 2 月 16 日 (土) 19 時 7 分 33 秒 (日本時間)
4511e6692 / 4254392CypJanuary 8, 2014 07:59:46 UTC 2014 年 1 月 8 日 (水) 16 時 59 分 46 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:31:30 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 30 秒 (日本時間)

## 11×10251-173

### c223

name 名前 Serge Batalov May 23, 2017 03:35:29 UTC 2017 年 5 月 23 日 (火) 12 時 35 分 29 秒 (日本時間) `1192155890656511642227671923807728338788583012564180751647298300163433125413170837593310684761974456153811174337824235114034144970213639920728083477887117558769384101107418704270566258746226160116300081368412330074894423517<223>` `41199471470249856451<20>` `28936193793587074565958213026493605508077682903288429247531297930077071321248629949876141486192859054958579571137616597934201558689439818383069947515708728658560940791968579028886844608022721963378406367<203>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:249688699 Step 1 took 18590ms Step 2 took 8443ms ********** Factor found in step 2: 41199471470249856451 Found prime factor of 20 digits: 41199471470249856451 Composite cofactor ```

### c203

name 名前 Serge Batalov May 23, 2017 16:36:59 UTC 2017 年 5 月 24 日 (水) 1 時 36 分 59 秒 (日本時間) `28936193793587074565958213026493605508077682903288429247531297930077071321248629949876141486192859054958579571137616597934201558689439818383069947515708728658560940791968579028886844608022721963378406367<203>` ```931466676299018276173<21> 31065194847934649627283534967370690922526069092943809159636910507370802142095249667133088218342951177074352439467563361369627175394560696143351119771358334164452828811062052276821979<182>``` `931466676299018276173`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)

## 11×10252-173

### c240

name 名前 Lionel Debroux July 17, 2020 06:11:46 UTC 2020 年 7 月 17 日 (金) 15 時 11 分 46 秒 (日本時間) `637778125582332072336030688618970548842086110767411467969931112010264022020233276654233082922924407240143673435281770945469452603775177489217937685167114572058598048032025475994016673196954694738511360069036169507171876772692150563986619127<240>` `158092222710656974654844435106025169<36>` `4034215691619468501269077920508695158215387241365302818744387979760119110927276392400429223864593004713867756825462471102032283509491558518722359291177237638154403083179031807029660634780575209252758662983<205>` ```GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 637778125582332072336030688618970548842086110767411467969931112010264022020233276654233082922924407240143673435281770945469452603775177489217937685167114572058598048032025475994016673196954694738511360069036169507171876772692150563986619127 (240 digits) Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3714569837 Step 1 took 64813ms Step 2 took 23064ms ********** Factor found in step 2: 158092222710656974654844435106025169 Found prime factor of 36 digits: 158092222710656974654844435106025169 Composite cofactor 4034215691619468501269077920508695158215387241365302818744387979760119110927276392400429223864593004713867756825462471102032283509491558518722359291177237638154403083179031807029660634780575209252758662983 has 205 digits``` `Core i7-2670QM @ 2.2 GHz, Debian sid amd64`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e60--
4511e61000 / 4439Lionel DebrouxJuly 17, 2020 06:10:37 UTC 2020 年 7 月 17 日 (金) 15 時 10 分 37 秒 (日本時間)

## 11×10253-173

### c187

name 名前 Serge Batalov May 23, 2017 03:43:17 UTC 2017 年 5 月 23 日 (火) 12 時 43 分 17 秒 (日本時間) `1083178490544444193754512040198546597224382177912591668223360253794805996316402418485286465466947157103629494538193805731080973085594255618558905286631700877437859545681933929934760407619<187>` `324564833906922746884489<24>` `3337325481339957126439754136581513849047980156821615408390813722366846759090494865434803518921971292924666302889350936776806973939782826016641804501826918012440171<163>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1294153828 Step 1 took 7418ms Step 2 took 3737ms ********** Factor found in step 2: 324564833906922746884489 Found prime factor of 24 digits: 324564833906922746884489 Composite cofactor 3337325481339957126439754136581513849047980156821615408390813722366846759090494865434803518921971292924666302889350936776806973939782826016641804501826918012440171 has 163 digits```

### c163

name 名前 Serge Batalov May 23, 2017 16:31:59 UTC 2017 年 5 月 24 日 (水) 1 時 31 分 59 秒 (日本時間) `3337325481339957126439754136581513849047980156821615408390813722366846759090494865434803518921971292924666302889350936776806973939782826016641804501826918012440171<163>` ```798533215295364471551<21> 10670676072943383905471281703<29> 391663988823477983232269716374455372449114576006196889531467078167417387761303654606763525313010596578395169351907<114>``` ```798533215295364471551 10670676072943383905471281703```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)

## 11×10254-173

### c244

name 名前 Serge Batalov May 23, 2017 16:40:47 UTC 2017 年 5 月 24 日 (水) 1 時 40 分 47 秒 (日本時間) `9512456108727927535748480965805056574286466202699520397806425971348589414539514997639746430692455099241352891658118260583310432542769392326582155206302603096368627501699994228612142168700533438217376907721880305489511964349683763283041089355179<244>` ```975931441812470266464185142149741<33> 9747053636330931847289449122367708358069695923952932491387619381952282116298963262171342411234669239565906067407456865788318515247197237297001060122506098548788746575423755433791102308363959994757022404622496119<211>``` `975931441812470266464185142149741`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)

## 11×10255-173

### c219

name 名前 Serge Batalov May 23, 2017 16:40:31 UTC 2017 年 5 月 24 日 (水) 1 時 40 分 31 秒 (日本時間) `891817192588285096338928826167088401692522775333378270261281676645670533472237425148043489837385683497388105165331594909401905171929017641179992941661631633281218920577592523424847412821851076975123357556521501095861321<219>` `19523674189789898543<20>` `45678758204983253205566145146072926209673967877164429284467849453848660855579852464814138727444527964550320452636116316296592158036028181523251322044968381815638309272358864209666808623339725326128647<200>` `19523674189789898543`

### c200

name 名前 Dmitry Domanov May 25, 2017 06:40:28 UTC 2017 年 5 月 25 日 (木) 15 時 40 分 28 秒 (日本時間) `45678758204983253205566145146072926209673967877164429284467849453848660855579852464814138727444527964550320452636116316296592158036028181523251322044968381815638309272358864209666808623339725326128647<200>` ```440046812434343949362467201015408927991<39> 103804315618803930339181295216755385097361895829492514187223483043515468168248486146502998303074305482625144981691268286310221901811314881373316361467368827560817<162>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=991985042 Step 1 took 29659ms Step 2 took 9243ms ********** Factor found in step 2: 440046812434343949362467201015408927991 Found probable prime factor of 39 digits: 440046812434343949362467201015408927991```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000 / 2104Dmitry DomanovMay 24, 2017 14:40:59 UTC 2017 年 5 月 24 日 (水) 23 時 40 分 59 秒 (日本時間)

## 11×10256-173

### c242

name 名前 Serge Batalov May 23, 2017 03:52:35 UTC 2017 年 5 月 23 日 (火) 12 時 52 分 35 秒 (日本時間) `61284860156610556869801970758140003779632662914896940391766112174450720004360653587112670398263278359668888691809034791271893198828751279587861430323091476236771459917966872638970053059460238223973821944779162706197600548252617870640818519583<242>` `330681281835487657<18>` `185329087320701385362907078809310266935030042439275899047835509329619717401406326336353977963831280150501962327754327624472229924160938637120348875975952103636128252771577046658838212712402736648467394384997276971904767901319<225>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3379734435 Step 1 took 11550ms ********** Factor found in step 1: 330681281835487657 Found prime factor of 18 digits: 330681281835487657```

### c225

name 名前 Serge Batalov May 23, 2017 16:31:25 UTC 2017 年 5 月 24 日 (水) 1 時 31 分 25 秒 (日本時間) `185329087320701385362907078809310266935030042439275899047835509329619717401406326336353977963831280150501962327754327624472229924160938637120348875975952103636128252771577046658838212712402736648467394384997276971904767901319<225>` ```39422350682357513461313<23> 91084351557773186575214695545803<32>``` `51612785620026256487674870056697945015342110262606593286447512760574647685665734315395514126569354572488830116425307239765687810919638875540976556226330611617432573416821<170>` ```39422350682357513461313 91084351557773186575214695545803```

### c170

name 名前 Dmitry Domanov June 9, 2017 10:34:06 UTC 2017 年 6 月 9 日 (金) 19 時 34 分 6 秒 (日本時間) `51612785620026256487674870056697945015342110262606593286447512760574647685665734315395514126569354572488830116425307239765687810919638875540976556226330611617432573416821<170>` ```4104971381715374431331100948012553066717<40> 12573238841547890173077052608288987254402952795976690739525407464602169001680410120941196297300579611381873583228372250427132123513<131>``` ```Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1075760747 Step 1 took 220040ms Step 2 took 61663ms ********** Factor found in step 2: 4104971381715374431331100948012553066717 Found probable prime factor of 40 digits: 4104971381715374431331100948012553066717```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovMay 24, 2017 14:38:43 UTC 2017 年 5 月 24 日 (水) 23 時 38 分 43 秒 (日本時間)
4511e61200Dmitry DomanovMay 24, 2017 14:38:43 UTC 2017 年 5 月 24 日 (水) 23 時 38 分 43 秒 (日本時間)
5043e61200 / 7233Dmitry DomanovJune 8, 2017 17:40:54 UTC 2017 年 6 月 9 日 (金) 2 時 40 分 54 秒 (日本時間)

## 11×10257-173

### c244

name 名前 Serge Batalov May 23, 2017 16:40:16 UTC 2017 年 5 月 24 日 (水) 1 時 40 分 16 秒 (日本時間) `8431892042652505430057625102395672041060751055620447982357981297376651262044463907264291417881990698046373223373974231325609610394432199474550507032828007419582601723686759129079086380966433307721757082109450711239489512915401550367223323212963<244>` `3310400231192734814875927<25>` `2547091425140005143916148166881680206971121838817385526194575920783716104187372909572098015907382461996310718767149402868916819491584785018584248636803517589008130132327239428696764158763766819626132836291469697665962069<220>` `3310400231192734814875927`

### c220

name 名前 Seth Troisi January 2, 2024 18:54:04 UTC 2024 年 1 月 3 日 (水) 3 時 54 分 4 秒 (日本時間) `2547091425140005143916148166881680206971121838817385526194575920783716104187372909572098015907382461996310718767149402868916819491584785018584248636803517589008130132327239428696764158763766819626132836291469697665962069<220>` `5489635709949700745287898988168622319<37>` `463981866870241392760768561199697226570566618696585921107508981703885457773368395016884290350874707266412805345661631738735776181979459104344245924427466536125614934624834446271040251<183>` ```GMP-ECM 7.0.6-dev [configured with GMP 6.3.0, --enable-asm-redc, --enable-assert] [ECM] Tuned for x86_64/params.h Running on sethtroisi-linux.sea.corp.google.com Resuming P-1 residue saved by five@five with GMP-ECM 7.0.6-dev on Fri Nov 24 02:53:40 2023 Input number is 2547091425140005143916148166881680206971121838817385526194575920783716104187372909572098015907382461996310718767149402868916819491584785018584248636803517589008130132327239428696764158763766819626132836291469697665962069 (220 digits) Using mpz_mod Using lmax = 67108864 with NTT which takes about 20736MB of memory Using B1=10000000000-10000000000, B2=13494038602573560, polynomial x^1 P = 198843645, l = 67108864, s_1 = 33177600, k = s_2 = 2, m_1 = 20 Probability of finding a factor of n digits (assuming one exists): 20 25 30 35 40 45 50 55 60 65 0.82 0.56 0.31 0.14 0.057 0.02 0.0066 0.002 0.00053 0.00014 Step 1 took 0ms Computing F from factored S_1 took 215216ms Computing h took 27067ms Computing DCT-I of h took 64708ms Multi-point evaluation 1 of 2: Computing g_i took 87998ms Computing g*h took 127848ms Computing gcd of coefficients and N took 30419ms Step 2 took 555712ms ********** Factor found in step 2: 5489635709949700745287898988168622319 Found prime factor of 37 digits: 5489635709949700745287898988168622319 Composite cofactor 463981866870241392760768561199697226570566618696585921107508981703885457773368395016884290350874707266412805345661631738735776181979459104344245924427466536125614934624834446271040251 has 183 digits Peak memory usage: 21247MB``` `GMP-ECM 7.0.6, ecm-db 0.1` `1080 Ti for PM1 stage1`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e621041000Dmitry DomanovJune 6, 2017 14:47:41 UTC 2017 年 6 月 6 日 (火) 23 時 47 分 41 秒 (日本時間)
1104ebinaJanuary 29, 2023 22:09:54 UTC 2023 年 1 月 30 日 (月) 7 時 9 分 54 秒 (日本時間)

## 11×10258-173

### c251

composite cofactor 合成数の残り `11803809783266460619577704690662208784064090188798535839982223548312290043153902300937351372932717909732688959923429243934231133466210536981350537467646039065891004845911387729029549252862675776473627773123088466228870444091183602162901346312819740191<251>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e62104610Marlon TrifunovicMarch 4, 2022 08:05:48 UTC 2022 年 3 月 4 日 (金) 17 時 5 分 48 秒 (日本時間)
1494ebinaJanuary 29, 2023 22:11:00 UTC 2023 年 1 月 30 日 (月) 7 時 11 分 0 秒 (日本時間)

## 11×10259-173

### c221

name 名前 Dmitry Domanov June 7, 2017 08:44:46 UTC 2017 年 6 月 7 日 (水) 17 時 44 分 46 秒 (日本時間) `16791677474122757660259639984177197998282481457627675167753918614620233896556736808086670371459846838812407662766538541678575629016132319019362813982869774960955075710651475871370200340067255445664716776822914003354009607<221>` `33220752197513517448657738880113287881<38>` `505457473518000861178805341765941406962080792250783257125009362944703694017690838135473405907580069819490574120074402530719554974755035010632140192861607307323896140981929368243463247<183>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3842995166 Step 1 took 22041ms Step 2 took 7685ms ********** Factor found in step 2: 33220752197513517448657738880113287881 Found probable prime factor of 38 digits: 33220752197513517448657738880113287881```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e621041000Dmitry DomanovJune 6, 2017 14:48:01 UTC 2017 年 6 月 6 日 (火) 23 時 48 分 1 秒 (日本時間)
1104ebinaJanuary 29, 2023 22:11:34 UTC 2023 年 1 月 30 日 (月) 7 時 11 分 34 秒 (日本時間)

## 11×10260-173

### c236

name 名前 Serge Batalov May 23, 2017 03:36:36 UTC 2017 年 5 月 23 日 (火) 12 時 36 分 36 秒 (日本時間) `29762338852071722401824453591180747331439015941744720013853491777778050018742397659947527239400529347556711042924688795690669136520009624442969694346329437364950140534635436598115009214684654371280935518769300883503119918553232531780351<236>` `7168654925734695433<19>` `4151732669573499294981325328799983742010352732387305366445640056788484183629195637875179748422625177809980771381164365522742828208892731843190601655894830253646498575040717627873765479713505023095022143206150851215047<217>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2740143186 Step 1 took 20351ms Step 2 took 5012ms ********** Factor found in step 2: 7168654925734695433 Found prime factor of 19 digits: 7168654925734695433 Composite cofactor```

### c217

name 名前 Serge Batalov May 23, 2017 16:30:04 UTC 2017 年 5 月 24 日 (水) 1 時 30 分 4 秒 (日本時間) `4151732669573499294981325328799983742010352732387305366445640056788484183629195637875179748422625177809980771381164365522742828208892731843190601655894830253646498575040717627873765479713505023095022143206150851215047<217>` ```236397665706064901933<21> 201634409830942724459485293833<30>``` `87100680732245173548322725937693566029800031399217463709162411430582246326399390933471539954345070802182343190522738953253038115891491360300217644223876911630149433323<167>` ```201634409830942724459485293833 236397665706064901933```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovMay 24, 2017 14:36:53 UTC 2017 年 5 月 24 日 (水) 23 時 36 分 53 秒 (日本時間)
4511e61200Dmitry DomanovMay 24, 2017 14:36:53 UTC 2017 年 5 月 24 日 (水) 23 時 36 分 53 秒 (日本時間)
5043e62792 / 72331000Dmitry DomanovJune 5, 2017 14:35:05 UTC 2017 年 6 月 5 日 (月) 23 時 35 分 5 秒 (日本時間)
1792Dmitry DomanovJune 30, 2024 18:22:22 UTC 2024 年 7 月 1 日 (月) 3 時 22 分 22 秒 (日本時間)

## 11×10262-173

### c214

composite cofactor 合成数の残り `5112396913970658836924783779520741477402106137987812781941801382556205898253093207230212839154437397174710936749433130897473531765931266183398788362635091512775377329689443290571628037692689508004474148091018612413<214>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e621041000Dmitry DomanovJune 2, 2017 11:38:16 UTC 2017 年 6 月 2 日 (金) 20 時 38 分 16 秒 (日本時間)
1104ebinaJanuary 29, 2023 22:12:19 UTC 2023 年 1 月 30 日 (月) 7 時 12 分 19 秒 (日本時間)

## 11×10263-173

### c237

name 名前 Serge Batalov May 23, 2017 04:42:35 UTC 2017 年 5 月 23 日 (火) 13 時 42 分 35 秒 (日本時間) `326485606187545441735034590835266717252669191968079058125406846975697049744458923770722221317168291561854953773337335352203657351056876512052527559023112553459110339835016687625645894113454252623503300084676378614440174018718520837102691<237>` `24045578917720216491525572444886545690743<41>` `13577781067560166818996037148549177928999439626441808295212161557256116697187728588728341393450514211587498798096108533650659389575845149579859469023604140484443395751771295731197398331506124536437<197>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1535818629 Step 1 took 17289ms Step 2 took 8674ms ********** Factor found in step 2: 24045578917720216491525572444886545690743 Found prime factor of 41 digits: 24045578917720216491525572444886545690743 Composite cofactor ```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e621041000Dmitry DomanovJune 2, 2017 11:38:00 UTC 2017 年 6 月 2 日 (金) 20 時 38 分 0 秒 (日本時間)
1104ebinaJanuary 30, 2023 00:37:16 UTC 2023 年 1 月 30 日 (月) 9 時 37 分 16 秒 (日本時間)

## 11×10265-173

### c237

composite cofactor 合成数の残り `708086826787291494711908448663508209478084726869535721163768288035518258673527222672267816804599568009986364534695464530927404558096412109229221128163094453341219716912644926551224590880382827892395716027258762501992113943973336812442143<237>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e62960610Marlon TrifunovicFebruary 28, 2022 22:44:47 UTC 2022 年 3 月 1 日 (火) 7 時 44 分 47 秒 (日本時間)
2350Ignacio SantosApril 10, 2024 09:18:01 UTC 2024 年 4 月 10 日 (水) 18 時 18 分 1 秒 (日本時間)

## 11×10266-173

### c246

name 名前 Serge Batalov May 23, 2017 05:53:05 UTC 2017 年 5 月 23 日 (火) 14 時 53 分 5 秒 (日本時間) `939342437273663504865634445250164698555788083563071275730269666634651600145717473949401410058599733100997032331912341357885923646228824573533293282241391027279199057580071991480460245191183751639130106257632950924210939184332183960037261598589649<246>` `232387415683986100357722355618513009<36>` `4042139865916990474189772335548486998184392651265188157285881987485473435604696558749120051029333109385819414215849821689991055304061320457855893803579830021174766558617794359174315411306601999840708523965732961<211>` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:23367560 Step 1 took 41045ms Step 2 took 16458ms ********** Factor found in step 2: 232387415683986100357722355618513009 Found prime factor of 36 digits: 232387415683986100357722355618513009 Composite cofactor```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 2, 2017 11:49:02 UTC 2017 年 6 月 2 日 (金) 20 時 49 分 2 秒 (日本時間)
2350Ignacio SantosApril 10, 2024 09:33:08 UTC 2024 年 4 月 10 日 (水) 18 時 33 分 8 秒 (日本時間)

## 11×10267-173

### c231

composite cofactor 合成数の残り `122945636034163866654564283870969337013589710831950594281212001993344020226049905748475407189383656631579522536429234147315721697773354820748064953643322791222415486231641615369904151549708903143349807909706767687530910951821522129<231>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e62960610Marlon TrifunovicFebruary 19, 2022 22:15:09 UTC 2022 年 2 月 20 日 (日) 7 時 15 分 9 秒 (日本時間)
2350Ignacio SantosApril 10, 2024 09:57:28 UTC 2024 年 4 月 10 日 (水) 18 時 57 分 28 秒 (日本時間)

## 11×10268-173

### c249

name 名前 Serge Batalov May 23, 2017 16:38:04 UTC 2017 年 5 月 24 日 (水) 1 時 38 分 4 秒 (日本時間) `180207842695873083075520593410340076607938071165257284033952825804106353577902748701917990147104196737390785782023838230632395466673640103287395673478746343731117015805898562910313726824688291271174138100025459859814451573214830005873269146565947901<249>` `13114769349132072449566574140975608707773<41>` `13740832026740838546078352176241928226280363328130757054946486800608171550641155604572288523877549472579415850144940082196691205555134913945465817577237082069960777068567674366955142917284939590440479760771137<209>` `13114769349132072449566574140975608707773`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 2, 2017 11:49:48 UTC 2017 年 6 月 2 日 (金) 20 時 49 分 48 秒 (日本時間)
2350Ignacio SantosApril 10, 2024 09:57:42 UTC 2024 年 4 月 10 日 (水) 18 時 57 分 42 秒 (日本時間)

## 11×10269-173

### c260

composite cofactor 合成数の残り `56310256005548299896310228042898990377489014078809021147357646988264429866776091049499801803537754296979824641017993238377181748054891502314793992462384177311217424795956502172369229814678210769387641964707216251364141355338537340755227587021651940643739392353<260>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e62960610Marlon TrifunovicMarch 8, 2022 08:50:49 UTC 2022 年 3 月 8 日 (火) 17 時 50 分 49 秒 (日本時間)
2350Ignacio SantosApril 10, 2024 10:13:05 UTC 2024 年 4 月 10 日 (水) 19 時 13 分 5 秒 (日本時間)

## 11×10270-173

### c257

composite cofactor 合成数の残り `51988328081361393575885425788580009311985845611025524404017014750270668606240766385282498662736012513700894616665759206076231781247847685386910476905723997452412501843039913218294697211133718233105639963809163967872649536654271289118259706484926842173378601<257>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e62960610Marlon TrifunovicMarch 7, 2022 03:26:26 UTC 2022 年 3 月 7 日 (月) 12 時 26 分 26 秒 (日本時間)
2350Ignacio SantosApril 10, 2024 14:02:27 UTC 2024 年 4 月 10 日 (水) 23 時 2 分 27 秒 (日本時間)

## 11×10271-173

### c219

composite cofactor 合成数の残り `119886047779340209441198309628105313796850843625265782409628989511973486521889421148924781491341058391006004760788860394347711283285627313520438882611853559791961190542970576642825644295462256248791071543477735831712973<219>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 2, 2017 12:29:41 UTC 2017 年 6 月 2 日 (金) 21 時 29 分 41 秒 (日本時間)
2350Ignacio SantosApril 10, 2024 14:02:39 UTC 2024 年 4 月 10 日 (水) 23 時 2 分 39 秒 (日本時間)

## 11×10272-173

### c220

composite cofactor 合成数の残り `4990262335315944144826575545860747139486274910517434560135934807244049803340097601754813709678568811113819391521599851444593714076652215089304549128534762473675304622443393869737037714442638529710251300158463422872072469<220>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 6, 2017 14:48:19 UTC 2017 年 6 月 6 日 (火) 23 時 48 分 19 秒 (日本時間)
2350Ignacio SantosApril 10, 2024 14:17:14 UTC 2024 年 4 月 10 日 (水) 23 時 17 分 14 秒 (日本時間)

## 11×10274-173

### c241

composite cofactor 合成数の残り `8934312204182254126783287321622000108515681725560108578854149172601009891050805517437044517259420196265461456489677563670801267588280720648027182279209640287521990272814128334123196903339609251318443263483912590449068194390463372489287845859<241>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e62960610Marlon TrifunovicMarch 3, 2022 14:41:19 UTC 2022 年 3 月 3 日 (木) 23 時 41 分 19 秒 (日本時間)
2350Ignacio SantosApril 10, 2024 14:32:46 UTC 2024 年 4 月 10 日 (水) 23 時 32 分 46 秒 (日本時間)

## 11×10275-173

### c257

name 名前 Ignacio Santos April 10, 2024 14:33:09 UTC 2024 年 4 月 10 日 (水) 23 時 33 分 9 秒 (日本時間) `29331096248514005637705828290306636466985651967240375369571500129913662781029955103774691170066488681153658926452847181779757895848423199793518067998747791782234122238536672145141684664375706127247254361232663172382577788595820980207239769326406742930303589<257>` `6649121522543825973027107153195449247<37>` `4411273902735423687938674444364832900991991321445700689418511494234509933939333200463540144526915852816675444238280485866743915090583053359403735892891754577491436077573120804223000628405207769473418993251620914627435387<220>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2309518798 Step 1 took 9890ms ********** Factor found in step 2: 6649121522543825973027107153195449247 Found prime factor of 37 digits: 6649121522543825973027107153195449247 Composite cofactor 4411273902735423687938674444364832900991991321445700689418511494234509933939333200463540144526915852816675444238280485866743915090583053359403735892891754577491436077573120804223000628405207769473418993251620914627435387 has 220 digits ``` `GMP-ECM`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e62960610Marlon TrifunovicMarch 7, 2022 06:39:24 UTC 2022 年 3 月 7 日 (月) 15 時 39 分 24 秒 (日本時間)
2350Ignacio SantosApril 13, 2024 06:43:22 UTC 2024 年 4 月 13 日 (土) 15 時 43 分 22 秒 (日本時間)

## 11×10277-173

### c194

name 名前 Dmitry Domanov June 2, 2017 13:47:34 UTC 2017 年 6 月 2 日 (金) 22 時 47 分 34 秒 (日本時間) `78347941503201245727624375374908422941105099977714925329971022300151228734458091921400478289395362672464019915929752922243873405876200383231609776824307121133167131910572958913949430585904361777<194>` ```154920347647821523809424977205107131<36> 819204630571413258856091424923112618359<39> 617343285615187349198241781366897445773170652539668708735666872463962343386102492565995195427118195062931612887695590613<120>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2313074278 Step 1 took 23140ms Step 2 took 7494ms ********** Factor found in step 2: 819204630571413258856091424923112618359 Found probable prime factor of 39 digits: 819204630571413258856091424923112618359 Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1032016458 Step 1 took 24406ms Step 2 took 8292ms ********** Factor found in step 2: 154920347647821523809424977205107131 Found probable prime factor of 36 digits: 154920347647821523809424977205107131```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000 / 2104Dmitry DomanovJune 2, 2017 12:49:11 UTC 2017 年 6 月 2 日 (金) 21 時 49 分 11 秒 (日本時間)

## 11×10279-173

### c266

composite cofactor 合成数の残り `10467903751056244005143923604702396397207178984127784021783581467360614934111623232159299668833526274672013489688118766053930839727047939954241765396664962768334036858926368451394796436740853250032376786742605203781136460528211893697486580953517007722122884033438689<266>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e62960610Marlon TrifunovicMarch 7, 2022 15:45:31 UTC 2022 年 3 月 8 日 (火) 0 時 45 分 31 秒 (日本時間)
2350Ignacio SantosApril 10, 2024 15:07:58 UTC 2024 年 4 月 11 日 (木) 0 時 7 分 58 秒 (日本時間)

## 11×10280-173

### c246

composite cofactor 合成数の残り `724654145157949226469347725523563289938904397340690193802758837681336772333431508538044135903673013734550969803124326191973058934528554871078760415254009341891263422947944814023597374718584150875724535265385793783044159904471344386391466090901491<246>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e62960610Marlon TrifunovicMarch 4, 2022 01:11:25 UTC 2022 年 3 月 4 日 (金) 10 時 11 分 25 秒 (日本時間)
2350Ignacio SantosApril 10, 2024 15:08:09 UTC 2024 年 4 月 11 日 (木) 0 時 8 分 9 秒 (日本時間)

## 11×10281-173

### c215

name 名前 Ignacio Santos April 10, 2024 15:08:33 UTC 2024 年 4 月 11 日 (木) 0 時 8 分 33 秒 (日本時間) `11549891092150290010289868444598122925545462685863987144498772102258989226287863846956647006625250951121164117043865969014875230502628647502325642553744775106936982608325443709980439151497433903514862129842661795807<215>` ```40285695912237093261007401367618252481<38> 286699555030943894343572312470703149467652905019236523692659218704545910960974265565278104955734010014444587023079614680069610009577659806063311853553261798516661553203856793247<177>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:188984907 Step 1 took 9593ms Step 2 took 4344ms ********** Factor found in step 2: 40285695912237093261007401367618252481 Found prime factor of 38 digits: 40285695912237093261007401367618252481 Prime cofactor 286699555030943894343572312470703149467652905019236523692659218704545910960974265565278104955734010014444587023079614680069610009577659806063311853553261798516661553203856793247 has 177 digits``` `GMP-ECM`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000 / 2104Dmitry DomanovJune 2, 2017 13:47:47 UTC 2017 年 6 月 2 日 (金) 22 時 47 分 47 秒 (日本時間)

## 11×10285-173

### c224

composite cofactor 合成数の残り `34045245415030648467682799435816250689829926331754845999813003272472608063152870474601473343237341081260058821128608979157787686502235544086991144799463445974979858190160401056631085323774050275252823306695879073016294140503<224>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 6, 2017 14:48:44 UTC 2017 年 6 月 6 日 (火) 23 時 48 分 44 秒 (日本時間)
2350Ignacio SantosApril 10, 2024 15:33:33 UTC 2024 年 4 月 11 日 (木) 0 時 33 分 33 秒 (日本時間)

## 11×10286-173

### c271

composite cofactor 合成数の残り `1465305485785040533275780686285990617045024491218544141282223898174351425177607453424162083974446380928481846923818298710634065667474925933943343283406577553920733211133698412179631642188046423941502144956698184835799685893531574079017868781698614151957400273714585792201<271>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e62960610Marlon TrifunovicMarch 10, 2022 15:21:49 UTC 2022 年 3 月 11 日 (金) 0 時 21 分 49 秒 (日本時間)
2350Ignacio SantosApril 10, 2024 15:45:37 UTC 2024 年 4 月 11 日 (木) 0 時 45 分 37 秒 (日本時間)

## 11×10288-173

### c218

composite cofactor 合成数の残り `61633279135289156935667359026917060708836553014183903134827193388768191434745488507500822399526002766536147079031519762482274876681799519620969302477356783999413189333196138525160761973831435961912107173231354093549109<218>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 2, 2017 13:48:16 UTC 2017 年 6 月 2 日 (金) 22 時 48 分 16 秒 (日本時間)
2350Ignacio SantosApril 10, 2024 16:00:02 UTC 2024 年 4 月 11 日 (木) 1 時 0 分 2 秒 (日本時間)

## 11×10289-173

### c260

composite cofactor 合成数の残り `72269633787314615018662523948598900369929923968564962425804460364838650539285693953398733835215475644323393791576617608593447986466561173660978947010280564476837748131103547053137943346669482575819436715040607989561955384173260841507198549435625347360915703839<260>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e62960610Marlon TrifunovicMarch 7, 2022 19:31:26 UTC 2022 年 3 月 8 日 (火) 4 時 31 分 26 秒 (日本時間)
2350Ignacio SantosApril 10, 2024 16:21:43 UTC 2024 年 4 月 11 日 (木) 1 時 21 分 43 秒 (日本時間)

## 11×10290-173

### c247

composite cofactor 合成数の残り `4432500033578199909121018539768263013271774739909954751479726175382179780006216597275935279343922191567634505443433258829618319759986564216411383188116715890124634901908169021748514211229818616797145851122872569996523650518669617262494499723357889<247>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e62960610Marlon TrifunovicFebruary 24, 2022 01:15:22 UTC 2022 年 2 月 24 日 (木) 10 時 15 分 22 秒 (日本時間)
2350Ignacio SantosApril 10, 2024 16:28:49 UTC 2024 年 4 月 11 日 (木) 1 時 28 分 49 秒 (日本時間)

## 11×10292-173

### c267

composite cofactor 合成数の残り `127338520364125033183804145674987277698279097993709205238984640141522580373784220177240843479337094145306297136287692565930980741282054764842401064676741147859472508451590892663177337094097104830127847817820107473876570236331423895848000240542782857496807557843560297<267>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e62960610Marlon TrifunovicMarch 3, 2022 17:39:39 UTC 2022 年 3 月 4 日 (金) 2 時 39 分 39 秒 (日本時間)
2350Ignacio SantosApril 10, 2024 16:46:09 UTC 2024 年 4 月 11 日 (木) 1 時 46 分 9 秒 (日本時間)

## 11×10293-173

### c248

composite cofactor 合成数の残り `41553309567117019628625572645276889161590869585998645446963187175699041823449231790817062079943906132209045626499623669877842968421067295983322508189919927908650351716080218822149447423071769338107977607701869207964899666687531019575044613844209983<248>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e62960610Marlon TrifunovicMarch 2, 2022 00:16:23 UTC 2022 年 3 月 2 日 (水) 9 時 16 分 23 秒 (日本時間)
2350Ignacio SantosApril 11, 2024 06:58:03 UTC 2024 年 4 月 11 日 (木) 15 時 58 分 3 秒 (日本時間)

## 11×10294-173

### c262

name 名前 Ignacio Santos April 11, 2024 06:58:28 UTC 2024 年 4 月 11 日 (木) 15 時 58 分 28 秒 (日本時間) `5250665775352973722138128126742779061376955336157612582254427762466510845314322014430194979126388720821988264971512709348936461308321964404959847196640896290641125138843064838956679988711492676345368318298598446375691165378430794226198101761068827803864155057193<262>` ```130562586521344774802412678835502365813<39> 40215699728762486395030510554126357554300104306388510140589347310397410903357502974422681138910727655914903771553865658104014722798579159146678077948700604584003856783419094950862057229774349984098888957244078204513077660261<224>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:885896387 Step 1 took 12563ms Step 2 took 5140ms ********** Factor found in step 2: 130562586521344774802412678835502365813 Found prime factor of 39 digits: 130562586521344774802412678835502365813 Prime cofactor 40215699728762486395030510554126357554300104306388510140589347310397410903357502974422681138910727655914903771553865658104014722798579159146678077948700604584003856783419094950862057229774349984098888957244078204513077660261 has 224 digits``` `GMP-ECM`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 1, 2022 18:17:43 UTC 2022 年 3 月 2 日 (水) 3 時 17 分 43 秒 (日本時間)

## 11×10295-173

### c228

composite cofactor 合成数の残り `348426197868061906300423680019372878867879996214814023381513935783005478648907613614979056484305288108474442702216828987194493873654140873936355231810098205995245610362879617610612309155307424964580726831033042229529210568816583<228>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e62960610Marlon TrifunovicFebruary 23, 2022 23:27:51 UTC 2022 年 2 月 24 日 (木) 8 時 27 分 51 秒 (日本時間)
2350Ignacio SantosApril 11, 2024 06:58:53 UTC 2024 年 4 月 11 日 (木) 15 時 58 分 53 秒 (日本時間)

## 11×10296-173

### c255

composite cofactor 合成数の残り `161361255296006311646053974248396030602386179193080217137284500589260339671773138343612582202861176275166830307060054900053041856940054551592097568681134129745376436293848780121876388847271984406827952359987817587299182477656314621395053842174424185069237<255>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e62960610Marlon TrifunovicMarch 6, 2022 16:12:09 UTC 2022 年 3 月 7 日 (月) 1 時 12 分 9 秒 (日本時間)
2350Ignacio SantosApril 11, 2024 06:59:16 UTC 2024 年 4 月 11 日 (木) 15 時 59 分 16 秒 (日本時間)

## 11×10297-173

### c267

composite cofactor 合成数の残り `707329786059249915847672387762580663506571617687247596000782674138227844924247043487738502920626925084086642609041178589812156594378246214928494971190281617897384315633031211040499920784836446371248343350081957333401049816827913921502180075531128645100421802232194239<267>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e62960610Marlon TrifunovicMarch 8, 2022 03:45:35 UTC 2022 年 3 月 8 日 (火) 12 時 45 分 35 秒 (日本時間)
2350Ignacio SantosApril 11, 2024 07:13:41 UTC 2024 年 4 月 11 日 (木) 16 時 13 分 41 秒 (日本時間)

## 11×10298-173

### c270

composite cofactor 合成数の残り `115247725346361577610736271886613844540414198629134603125027278030510997637858818831720404513605916423788957282122688379549958732265501666059628145732839610868546878871497643484577988136751226587888327625337218701422008719316631150350838436961371970245242657799693068323<270>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e62960610Marlon TrifunovicMarch 8, 2022 10:47:22 UTC 2022 年 3 月 8 日 (火) 19 時 47 分 22 秒 (日本時間)
2350Ignacio SantosApril 11, 2024 07:26:31 UTC 2024 年 4 月 11 日 (木) 16 時 26 分 31 秒 (日本時間)

## 11×10299-173

### c256

composite cofactor 合成数の残り `1595544399736336330874365901449636153056428051972543336228579151723185889439472002746511477911942233500525921660187651513753722486024545474597200748257718315999297089636483069634768108216390632496253541900465563080027891513043989415917802867492175810455963<256>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e62960610Marlon TrifunovicMarch 6, 2022 18:00:04 UTC 2022 年 3 月 7 日 (月) 3 時 0 分 4 秒 (日本時間)
2350Ignacio SantosApril 11, 2024 07:33:24 UTC 2024 年 4 月 11 日 (木) 16 時 33 分 24 秒 (日本時間)