name 名前 | Robert Backstrom |
---|---|
date 日付 | February 11, 2008 23:43:02 UTC 2008 年 2 月 12 日 (火) 8 時 43 分 2 秒 (日本時間) |
composite number 合成数 | 979294314485608729379659265652592455768584086435122697907223765060392284274205698203011829<90> |
prime factors 素因数 | 8254078063236444636671476566658758452630059<43> 118643694302743846510055142733530124877331720031<48> |
factorization results 素因数分解の結果 | Tue Feb 12 09:14:45 2008 Tue Feb 12 09:14:45 2008 Tue Feb 12 09:14:45 2008 Msieve v. 1.33 Tue Feb 12 09:14:45 2008 random seeds: fbd5dde8 054b1945 Tue Feb 12 09:14:45 2008 factoring 979294314485608729379659265652592455768584086435122697907223765060392284274205698203011829 (90 digits) Tue Feb 12 09:14:46 2008 searching for 15-digit factors Tue Feb 12 09:14:46 2008 commencing quadratic sieve (90-digit input) Tue Feb 12 09:14:46 2008 using multiplier of 5 Tue Feb 12 09:14:46 2008 using 64kb Opteron sieve core Tue Feb 12 09:14:46 2008 sieve interval: 18 blocks of size 65536 Tue Feb 12 09:14:46 2008 processing polynomials in batches of 6 Tue Feb 12 09:14:46 2008 using a sieve bound of 1616231 (61176 primes) Tue Feb 12 09:14:46 2008 using large prime bound of 135763404 (27 bits) Tue Feb 12 09:14:46 2008 using double large prime bound of 435520718464356 (42-49 bits) Tue Feb 12 09:14:46 2008 using trial factoring cutoff of 49 bits Tue Feb 12 09:14:46 2008 polynomial 'A' values have 12 factors Tue Feb 12 10:14:53 2008 61405 relations (16554 full + 44851 combined from 665810 partial), need 61272 Tue Feb 12 10:14:53 2008 begin with 682363 relations Tue Feb 12 10:14:54 2008 reduce to 149843 relations in 12 passes Tue Feb 12 10:14:54 2008 attempting to read 149843 relations Tue Feb 12 10:14:55 2008 recovered 149843 relations Tue Feb 12 10:14:55 2008 recovered 130637 polynomials Tue Feb 12 10:14:55 2008 attempting to build 61405 cycles Tue Feb 12 10:14:55 2008 found 61405 cycles in 6 passes Tue Feb 12 10:14:56 2008 distribution of cycle lengths: Tue Feb 12 10:14:56 2008 length 1 : 16554 Tue Feb 12 10:14:56 2008 length 2 : 11742 Tue Feb 12 10:14:56 2008 length 3 : 10834 Tue Feb 12 10:14:56 2008 length 4 : 8104 Tue Feb 12 10:14:56 2008 length 5 : 5795 Tue Feb 12 10:14:56 2008 length 6 : 3613 Tue Feb 12 10:14:56 2008 length 7 : 2201 Tue Feb 12 10:14:56 2008 length 9+: 2562 Tue Feb 12 10:14:56 2008 largest cycle: 21 relations Tue Feb 12 10:14:56 2008 matrix is 61176 x 61405 (15.1 MB) with weight 3715538 (60.51/col) Tue Feb 12 10:14:56 2008 sparse part has weight 3715538 (60.51/col) Tue Feb 12 10:14:56 2008 filtering completed in 3 passes Tue Feb 12 10:14:56 2008 matrix is 57197 x 57261 (14.2 MB) with weight 3488523 (60.92/col) Tue Feb 12 10:14:56 2008 sparse part has weight 3488523 (60.92/col) Tue Feb 12 10:14:57 2008 saving the first 48 matrix rows for later Tue Feb 12 10:14:57 2008 matrix is 57149 x 57261 (9.3 MB) with weight 2781100 (48.57/col) Tue Feb 12 10:14:57 2008 sparse part has weight 2101395 (36.70/col) Tue Feb 12 10:14:57 2008 matrix includes 64 packed rows Tue Feb 12 10:14:57 2008 using block size 22904 for processor cache size 1024 kB Tue Feb 12 10:14:57 2008 commencing Lanczos iteration Tue Feb 12 10:14:57 2008 memory use: 8.9 MB Tue Feb 12 10:15:16 2008 lanczos halted after 905 iterations (dim = 57147) Tue Feb 12 10:15:16 2008 recovered 16 nontrivial dependencies Tue Feb 12 10:15:16 2008 prp43 factor: 8254078063236444636671476566658758452630059 Tue Feb 12 10:15:16 2008 prp48 factor: 118643694302743846510055142733530124877331720031 Tue Feb 12 10:15:16 2008 elapsed time 01:00:31 |
name 名前 | Robert Backstrom |
---|---|
date 日付 | February 11, 2008 14:05:48 UTC 2008 年 2 月 11 日 (月) 23 時 5 分 48 秒 (日本時間) |
composite number 合成数 | 1442442739064094192991689946160235698418043966956744220577720724348973713048047521130677937<91> |
prime factors 素因数 | 25963864742768432702463389177291<32> 55555779286126867906535634003991867240948718030556740625907<59> |
factorization results 素因数分解の結果 | GMP-ECM 6.1.3 [powered by GMP 4.2.1] [ECM] Input number is 1442442739064094192991689946160235698418043966956744220577720724348973713048047521130677937 (91 digits) Using B1=926000, B2=871204962, polynomial Dickson(3), sigma=511613662 Step 1 took 6363ms Step 2 took 2859ms ********** Factor found in step 2: 25963864742768432702463389177291 Found probable prime factor of 32 digits: 25963864742768432702463389177291 Probable prime cofactor 55555779286126867906535634003991867240948718030556740625907 has 59 digits |
name 名前 | Robert Backstrom |
---|---|
date 日付 | February 11, 2008 22:04:53 UTC 2008 年 2 月 12 日 (火) 7 時 4 分 53 秒 (日本時間) |
composite number 合成数 | 272418513167786237420151825616352126546278223185501841727497885100290016331092523119390229177397<96> |
prime factors 素因数 | 23364777919548735601339497408589195152559<41> 11659366680299595782072792886752985694167830402696085083<56> |
factorization results 素因数分解の結果 | GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM] Input number is 272418513167786237420151825616352126546278223185501841727497885100290016331092523119390229177397 (96 digits) Using B1=3256000, B2=4513712759, polynomial Dickson(6), sigma=672611997 Step 1 took 18441ms Step 2 took 9946ms ********** Factor found in step 2: 23364777919548735601339497408589195152559 Found probable prime factor of 41 digits: 23364777919548735601339497408589195152559 Probable prime cofactor 11659366680299595782072792886752985694167830402696085083 has 56 digits |
name 名前 | Sinkiti Sibata |
---|---|
date 日付 | February 12, 2008 01:11:08 UTC 2008 年 2 月 12 日 (火) 10 時 11 分 8 秒 (日本時間) |
composite number 合成数 | 138023263444626509676497310867663169533598061952620126978892855175577511292498774416158458736878849829560091<108> |
prime factors 素因数 | 89185329511743931743340432259475771218472031894737047<53> 1547600532511926130818633628615142423602309348889997853<55> |
factorization results 素因数分解の結果 | Number: 12229_113 N=138023263444626509676497310867663169533598061952620126978892855175577511292498774416158458736878849829560091 ( 108 digits) SNFS difficulty: 114 digits. Divisors found: r1=89185329511743931743340432259475771218472031894737047 (pp53) r2=1547600532511926130818633628615142423602309348889997853 (pp55) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 2.44 hours. Scaled time: 1.65 units (timescale=0.676). Factorization parameters were as follows: name:12229_113 n: 138023263444626509676497310867663169533598061952620126978892855175577511292498774416158458736878849829560091 m: 10000000000000000000000 c5: 11000 c0: 61 skew: 0.35 type: snfs Factor base limits: 600000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved algebraic special-q in [400000, 550001) Primes: RFBsize:49098, AFBsize:63930, largePrimes:2203646 encountered Relations: rels:2410372, finalFF:336430 Max relations in full relation-set: 28 Initial matrix: 113095 x 336430 with sparse part having weight 29283357. Pruned matrix : 73057 x 73686 with weight 5021225. Total sieving time: 2.24 hours. Total relation processing time: 0.08 hours. Matrix solve time: 0.09 hours. Time per square root: 0.04 hours. Prototype def-par.txt line would be: snfs,114,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000 total time: 2.44 hours. --------- CPU info (if available) ---------- |
execution environment 実行環境 | Pentium 4 2.4GHz, Windows XP and Cygwin) |
name 名前 | Sinkiti Sibata |
---|---|
date 日付 | February 12, 2008 03:24:55 UTC 2008 年 2 月 12 日 (火) 12 時 24 分 55 秒 (日本時間) |
composite number 合成数 | 88830099513937846386916456906499859890706675743487744272679333838857354203561440953421533546687081438627688019<110> |
prime factors 素因数 | 7212822845172862724558959691868961<34> 12315580379654942378938247217218906466558770709724027914022290754605779304179<77> |
factorization results 素因数分解の結果 | Number: 12229_115 N=88830099513937846386916456906499859890706675743487744272679333838857354203561440953421533546687081438627688019 ( 110 digits) SNFS difficulty: 116 digits. Divisors found: r1=7212822845172862724558959691868961 (pp34) r2=12315580379654942378938247217218906466558770709724027914022290754605779304179 (pp77) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 1.61 hours. Scaled time: 1.09 units (timescale=0.675). Factorization parameters were as follows: name: 12229_115 n: 88830099513937846386916456906499859890706675743487744272679333838857354203561440953421533546687081438627688019 m: 100000000000000000000000 c5: 11 c0: 61 skew: 1.41 type: snfs Factor base limits: 600000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved algebraic special-q in [400000, 500001) Primes: RFBsize:49098, AFBsize:64130, largePrimes:1981292 encountered Relations: rels:1990054, finalFF:180327 Max relations in full relation-set: 28 Initial matrix: 113295 x 180327 with sparse part having weight 13872256. Pruned matrix : 90740 x 91370 with weight 4669829. Total sieving time: 1.41 hours. Total relation processing time: 0.06 hours. Matrix solve time: 0.11 hours. Time per square root: 0.04 hours. Prototype def-par.txt line would be: snfs,116,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000 total time: 1.61 hours. --------- CPU info (if available) ---------- |
execution environment 実行環境 | Pentium 4 2.4GHz, Windows XP and Cygwin) |
name 名前 | Robert Backstrom |
---|---|
date 日付 | February 11, 2008 13:37:28 UTC 2008 年 2 月 11 日 (月) 22 時 37 分 28 秒 (日本時間) |
composite number 合成数 | 3636773982279863365639680320380286009668622822498700169186485115298743740095729392031758733<91> |
prime factors 素因数 | 263003561317130722985502794515043<33> 13827850710715765070628800684573938236616215726252446506831<59> |
factorization results 素因数分解の結果 | GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM] Input number is 3636773982279863365639680320380286009668622822498700169186485115298743740095729392031758733 (91 digits) Using B1=282000, B2=138275608, polynomial Dickson(3), sigma=2790588809 Step 1 took 1603ms Step 2 took 1228ms ********** Factor found in step 2: 263003561317130722985502794515043 Found probable prime factor of 33 digits: 263003561317130722985502794515043 Probable prime cofactor 13827850710715765070628800684573938236616215726252446506831 has 59 digits |
name 名前 | Robert Backstrom |
---|---|
date 日付 | February 12, 2008 13:18:21 UTC 2008 年 2 月 12 日 (火) 22 時 18 分 21 秒 (日本時間) |
composite number 合成数 | 117130446887612254743317289337618603555793615683610795182304459859203598933750583971206477797268437<99> |
prime factors 素因数 | 297331187884013676219113574010340108544431<42> 393939323086765551889841121296691017236081365848804304827<57> |
factorization results 素因数分解の結果 | Tue Feb 12 15:42:39 2008 Tue Feb 12 15:42:39 2008 Tue Feb 12 15:42:39 2008 Msieve v. 1.33 Tue Feb 12 15:42:39 2008 random seeds: ac273248 99b8daf8 Tue Feb 12 15:42:39 2008 factoring 117130446887612254743317289337618603555793615683610795182304459859203598933750583971206477797268437 (99 digits) Tue Feb 12 15:42:40 2008 searching for 15-digit factors Tue Feb 12 15:42:41 2008 commencing quadratic sieve (99-digit input) Tue Feb 12 15:42:41 2008 using multiplier of 1 Tue Feb 12 15:42:41 2008 using 64kb Opteron sieve core Tue Feb 12 15:42:41 2008 sieve interval: 18 blocks of size 65536 Tue Feb 12 15:42:41 2008 processing polynomials in batches of 6 Tue Feb 12 15:42:41 2008 using a sieve bound of 2542919 (92845 primes) Tue Feb 12 15:42:41 2008 using large prime bound of 381437850 (28 bits) Tue Feb 12 15:42:41 2008 using double large prime bound of 2796164870269350 (43-52 bits) Tue Feb 12 15:42:41 2008 using trial factoring cutoff of 52 bits Tue Feb 12 15:42:41 2008 polynomial 'A' values have 13 factors Wed Feb 13 00:08:09 2008 93124 relations (21863 full + 71261 combined from 1412845 partial), need 92941 Wed Feb 13 00:08:11 2008 begin with 1434707 relations Wed Feb 13 00:08:12 2008 reduce to 247553 relations in 11 passes Wed Feb 13 00:08:12 2008 attempting to read 247553 relations Wed Feb 13 00:08:16 2008 recovered 247553 relations Wed Feb 13 00:08:16 2008 recovered 237150 polynomials Wed Feb 13 00:08:16 2008 attempting to build 93124 cycles Wed Feb 13 00:08:16 2008 found 93123 cycles in 5 passes Wed Feb 13 00:08:17 2008 distribution of cycle lengths: Wed Feb 13 00:08:17 2008 length 1 : 21863 Wed Feb 13 00:08:17 2008 length 2 : 15753 Wed Feb 13 00:08:17 2008 length 3 : 15456 Wed Feb 13 00:08:17 2008 length 4 : 12692 Wed Feb 13 00:08:17 2008 length 5 : 9820 Wed Feb 13 00:08:17 2008 length 6 : 6695 Wed Feb 13 00:08:17 2008 length 7 : 4456 Wed Feb 13 00:08:17 2008 length 9+: 6388 Wed Feb 13 00:08:17 2008 largest cycle: 21 relations Wed Feb 13 00:08:18 2008 matrix is 92845 x 93123 (25.1 MB) with weight 6203991 (66.62/col) Wed Feb 13 00:08:18 2008 sparse part has weight 6203991 (66.62/col) Wed Feb 13 00:08:20 2008 filtering completed in 3 passes Wed Feb 13 00:08:20 2008 matrix is 89183 x 89247 (24.1 MB) with weight 5972500 (66.92/col) Wed Feb 13 00:08:20 2008 sparse part has weight 5972500 (66.92/col) Wed Feb 13 00:08:21 2008 saving the first 48 matrix rows for later Wed Feb 13 00:08:21 2008 matrix is 89135 x 89247 (14.6 MB) with weight 4655973 (52.17/col) Wed Feb 13 00:08:21 2008 sparse part has weight 3297383 (36.95/col) Wed Feb 13 00:08:21 2008 matrix includes 64 packed rows Wed Feb 13 00:08:21 2008 using block size 21845 for processor cache size 512 kB Wed Feb 13 00:08:22 2008 commencing Lanczos iteration Wed Feb 13 00:08:22 2008 memory use: 14.5 MB Wed Feb 13 00:09:40 2008 lanczos halted after 1411 iterations (dim = 89133) Wed Feb 13 00:09:40 2008 recovered 15 nontrivial dependencies Wed Feb 13 00:09:41 2008 prp42 factor: 297331187884013676219113574010340108544431 Wed Feb 13 00:09:41 2008 prp57 factor: 393939323086765551889841121296691017236081365848804304827 Wed Feb 13 00:09:41 2008 elapsed time 08:27:02 |
name 名前 | Robert Backstrom |
---|---|
date 日付 | February 12, 2008 00:54:12 UTC 2008 年 2 月 12 日 (火) 9 時 54 分 12 秒 (日本時間) |
composite number 合成数 | 129361041132907711288024614211894650311321702762232554416003033514132326809107206608063968053261877<99> |
prime factors 素因数 | 10137105138517733202360425644260487744453606741<47> 12761142295089496212129634669299067935927677632288097<53> |
factorization results 素因数分解の結果 | Number: n N=129361041132907711288024614211894650311321702762232554416003033514132326809107206608063968053261877 ( 99 digits) SNFS difficulty: 124 digits. Divisors found: Tue Feb 12 11:48:55 2008 prp47 factor: 10137105138517733202360425644260487744453606741 Tue Feb 12 11:48:55 2008 prp53 factor: 12761142295089496212129634669299067935927677632288097 Tue Feb 12 11:48:55 2008 elapsed time 00:09:53 (Msieve 1.33) Version: GGNFS-0.77.1-20050930-k8 Total time: 2.11 hours. Scaled time: 1.77 units (timescale=0.838). Factorization parameters were as follows: name: KA_1_2_122_9 n: 129361041132907711288024614211894650311321702762232554416003033514132326809107206608063968053261877 type: snfs deg: 5 c5: 11000 c0: 61 skew: 0.24 m: 1000000000000000000000000 rlim: 700000 alim: 700000 lbpr: 28 lbpa: 28 mbpr: 48 mbpa: 48 rlambda: 2.5 alambda: 2.5 qintsize: 50000 Factor base limits: 700000/700000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved special-q in [100000, 350001) Primes: RFBsize:56543, AFBsize:56425, largePrimes:2054212 encountered Relations: rels:2103983, finalFF:203790 Max relations in full relation-set: 28 Initial matrix: 113035 x 203790 with sparse part having weight 17909229. Pruned matrix : Total sieving time: 2.05 hours. Total relation processing time: 0.06 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,124,5,0,0,0,0,0,0,0,0,700000,700000,25,25,46,46,2.5,2.5,50000 total time: 2.11 hours. --------- CPU info (if available) ---------- CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03 CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03 Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM) Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888) Calibrating delay loop... 6029.31 BogoMIPS (lpj=3014656) Total of 2 processors activated (11993.08 BogoMIPS). |
name 名前 | Robert Backstrom |
---|---|
date 日付 | February 12, 2008 17:41:12 UTC 2008 年 2 月 13 日 (水) 2 時 41 分 12 秒 (日本時間) |
composite number 合成数 | 7828136829133856296228799392803241434599084869328918335227018985215989728730754311284916914786485163345363<106> |
prime factors 素因数 | 27843156313687337057580167590404968827671407657<47> 281151200709441301666481826274926616585678854755382437224859<60> |
factorization results 素因数分解の結果 | Number: n N=7828136829133856296228799392803241434599084869328918335227018985215989728730754311284916914786485163345363 ( 106 digits) SNFS difficulty: 132 digits. Divisors found: r1=27843156313687337057580167590404968827671407657 (pp47) r2=281151200709441301666481826274926616585678854755382437224859 (pp60) Version: GGNFS-0.77.1-20051202-athlon Total time: 5.23 hours. Scaled time: 9.15 units (timescale=1.749). Factorization parameters were as follows: name: KA_1_2_130_9 n: 7828136829133856296228799392803241434599084869328918335227018985215989728730754311284916914786485163345363 type: snfs skew: 0.89 deg: 5 c5: 110 c0: 61 m: 100000000000000000000000000 rlim: 1500000 alim: 1500000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 qintsize: 50000 Factor base limits: 1500000/1500000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved special-q in [100000, 100000) Primes: RFBsize:114155, AFBsize:114754, largePrimes:4459635 encountered Relations: rels:3776537, finalFF:262915 Max relations in full relation-set: 28 Initial matrix: 228976 x 262915 with sparse part having weight 9371341. Pruned matrix : 190800 x 192008 with weight 5465175. Total sieving time: 4.71 hours. Total relation processing time: 0.11 hours. Matrix solve time: 0.38 hours. Total square root time: 0.02 hours, sqrts: 1. Prototype def-par.txt line would be: snfs,132,5,0,0,0,0,0,0,0,0,1500000,1500000,28,28,48,48,2.2,2.2,50000 total time: 5.23 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3200+ |
name 名前 | Robert Backstrom |
---|---|
date 日付 | February 11, 2008 13:28:46 UTC 2008 年 2 月 11 日 (月) 22 時 28 分 46 秒 (日本時間) |
composite number 合成数 | 36667436170978044391788883326051788077030308910121781337982376047659288651432850339323<86> |
prime factors 素因数 | 72262687717088370908767938209<29> 507418660021790002190944224034674082883979558173581771547<57> |
factorization results 素因数分解の結果 | GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM] Input number is 36667436170978044391788883326051788077030308910121781337982376047659288651432850339323 (86 digits) Using B1=428000, B2=250562999, polynomial Dickson(3), sigma=40110239 Step 1 took 3109ms Step 2 took 2531ms ********** Factor found in step 2: 72262687717088370908767938209 Found probable prime factor of 29 digits: 72262687717088370908767938209 Probable prime cofactor 507418660021790002190944224034674082883979558173581771547 has 57 digits |
name 名前 | Sinkiti Sibata |
---|---|
date 日付 | February 12, 2008 12:05:33 UTC 2008 年 2 月 12 日 (火) 21 時 5 分 33 秒 (日本時間) |
composite number 合成数 | 2722098490472655283345706508290027220984904726552833457065082900272209849047265528334570650829002722098490472655283345706508290027221<133> |
prime factors 素因数 | 44733788040439743106075919870152803049769<41> 60851061573677909538404481871209053051577251320251971454994510548611542213319025413140789709<92> |
factorization results 素因数分解の結果 | Number: 12229_135 N=2722098490472655283345706508290027220984904726552833457065082900272209849047265528334570650829002722098490472655283345706508290027221 ( 133 digits) SNFS difficulty: 136 digits. Divisors found: r1=44733788040439743106075919870152803049769 (pp41) r2=60851061573677909538404481871209053051577251320251971454994510548611542213319025413140789709 (pp92) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 8.34 hours. Scaled time: 5.63 units (timescale=0.675). Factorization parameters were as follows: name: 12229_135 n: 2722098490472655283345706508290027220984904726552833457065082900272209849047265528334570650829002722098490472655283345706508290027221 m: 1000000000000000000000000000 c5: 11 c0: 61 skew: 1.41 type: snfs Factor base limits: 1000000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 43/43 Sieved algebraic special-q in [400000, 1225001) Primes: RFBsize:78498, AFBsize:64130, largePrimes:1529572 encountered Relations: rels:1534791, finalFF:178563 Max relations in full relation-set: 28 Initial matrix: 142695 x 178563 with sparse part having weight 14130024. Pruned matrix : 131056 x 131833 with weight 8673274. Total sieving time: 7.84 hours. Total relation processing time: 0.09 hours. Matrix solve time: 0.35 hours. Time per square root: 0.06 hours. Prototype def-par.txt line would be: snfs,136,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000 total time: 8.34 hours. --------- CPU info (if available) ---------- |
execution environment 実行環境 | Pentium 4 2.4GHz, Windows XP and Cygwin) |
name 名前 | Sinkiti Sibata |
---|---|
date 日付 | February 13, 2008 05:31:02 UTC 2008 年 2 月 13 日 (水) 14 時 31 分 2 秒 (日本時間) |
composite number 合成数 | 40740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740743<137> |
prime factors 素因数 | 2608315158960413241863591725014062287<37> 3302992739511359700540576991511204918126169779<46> 4728912045866904847657086157801846080638041217325830291<55> |
factorization results 素因数分解の結果 | (ここに素因数分解ソフトウェアの出力結果を貼り付けてください。例:GGNFSのサマリファイル、B1とsigmaを含むGMP-ECMの出Number: 12229_137 N=40740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740743 ( 137 digits) SNFS difficulty: 138 digits. Divisors found: r1=2608315158960413241863591725014062287 (pp37) r2=3302992739511359700540576991511204918126169779 (pp46) r3=4728912045866904847657086157801846080638041217325830291 (pp55) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 16.64 hours. Scaled time: 11.25 units (timescale=0.676). Factorization parameters were as follows: name: 12229_137 n: 40740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740743 m: 1000000000000000000000000000 c5: 1100 c0: 61 skew: 0.56 type: snfs Factor base limits: 1000000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 43/43 Sieved algebraic special-q in [400000, 2200001) Primes: RFBsize:78498, AFBsize:63770, largePrimes:1670073 encountered Relations: rels:1697648, finalFF:166498 Max relations in full relation-set: 28 Initial matrix: 142335 x 166498 with sparse part having weight 18460835. Pruned matrix : 136551 x 137326 with weight 13956169. Total sieving time: 15.90 hours. Total relation processing time: 0.13 hours. Matrix solve time: 0.54 hours. Time per square root: 0.07 hours. Prototype def-par.txt line would be: snfs,138,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000 total time: 16.64 hours. --------- CPU info (if available) ---------- 力など) |
execution environment 実行環境 | Pentium 4 2.4GHz, Windows XP and Cygwin) |
name 名前 | Robert Backstrom |
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date 日付 | February 13, 2008 04:04:59 UTC 2008 年 2 月 13 日 (水) 13 時 4 分 59 秒 (日本時間) |
composite number 合成数 | 1222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229<145> |
prime factors 素因数 | 611795764847397761032073514896073448555427693<45> 1997761822570127057468384244424067756878599815628503448366355433606752749308486975935581518284356553<100> |
factorization results 素因数分解の結果 | Number: n N=1222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229 ( 145 digits) SNFS difficulty: 146 digits. Divisors found: r1=611795764847397761032073514896073448555427693 (pp45) r2=1997761822570127057468384244424067756878599815628503448366355433606752749308486975935581518284356553 (pp100) Version: GGNFS-0.77.1-20060513-athlon-xp Total time: 12.91 hours. Scaled time: 16.84 units (timescale=1.305). Factorization parameters were as follows: name: KA_1_2_143_9 n: 1222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229 skew: 2.23 deg: 5 c5: 11 c0: 610 m: 100000000000000000000000000000 type: snfs rlim: 2800000 alim: 2800000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 50000 Factor base limits: 2800000/2800000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved algebraic special-q in [100000, 1250001) Primes: RFBsize:203362, AFBsize:202469, largePrimes:6738611 encountered Relations: rels:6158473, finalFF:455293 Max relations in full relation-set: 28 Initial matrix: 405896 x 455293 with sparse part having weight 25724138. Pruned matrix : 361436 x 363529 with weight 16686234. Total sieving time: 10.51 hours. Total relation processing time: 0.21 hours. Matrix solve time: 1.88 hours. Total square root time: 0.30 hours, sqrts: 3. Prototype def-par.txt line would be: snfs,146,5,0,0,0,0,0,0,0,0,2800000,2800000,28,28,48,48,2.5,2.5,100000 total time: 12.91 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3200+ |
name 名前 | Robert Backstrom |
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date 日付 | February 12, 2008 22:00:20 UTC 2008 年 2 月 13 日 (水) 7 時 0 分 20 秒 (日本時間) |
composite number 合成数 | 40740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740743<146> |
prime factors 素因数 | 62188614383244022472029465985668051260768030696286619714122612487056057<71> 655115749800623400328076022959829614473983866531716207736106837240179182399<75> |
factorization results 素因数分解の結果 | Number: n N=40740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740743 ( 146 digits) SNFS difficulty: 147 digits. Divisors found: r1=62188614383244022472029465985668051260768030696286619714122612487056057 (pp71) r2=655115749800623400328076022959829614473983866531716207736106837240179182399 (pp75) Version: GGNFS-0.77.1-20051202-athlon Total time: 8.95 hours. Scaled time: 16.36 units (timescale=1.829). Factorization parameters were as follows: name: KA_1_2_145_9 n: 40740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740743 skew: 0.89 deg: 5 c5: 110 c0: 61 m: 100000000000000000000000000000 type: snfs rlim: 2500000 alim: 2500000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 50000 Factor base limits: 2500000/2500000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved algebraic special-q in [100000, 1500001) Primes: RFBsize:183072, AFBsize:183928, largePrimes:6812996 encountered Relations: rels:6186693, finalFF:411405 Max relations in full relation-set: 48 Initial matrix: 367067 x 411405 with sparse part having weight 33106963. Pruned matrix : 334890 x 336789 with weight 21893831. Total sieving time: 7.91 hours. Total relation processing time: 0.15 hours. Matrix solve time: 0.80 hours. Total square root time: 0.09 hours, sqrts: 2. Prototype def-par.txt line would be: snfs,147,5,0,0,0,0,0,0,0,0,2500000,2500000,28,28,48,48,2.5,2.5,100000 total time: 8.95 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 X2 6000+ |
name 名前 | Robert Backstrom |
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date 日付 | February 11, 2008 14:46:44 UTC 2008 年 2 月 11 日 (月) 23 時 46 分 44 秒 (日本時間) |
composite number 合成数 | 1029869012805926979679368003629013281236600821095636359928603029848238071504834975227209393<91> |
prime factors 素因数 | 48362529052411789499072324359991381<35> 21294771654514384272421899428463822955945910176527190253<56> |
factorization results 素因数分解の結果 | GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM] Input number is 1029869012805926979679368003629013281236600821095636359928603029848238071504834975227209393 (91 digits) Using B1=1036000, B2=882940570, polynomial Dickson(3), sigma=2032621643 Step 1 took 8766ms Step 2 took 5781ms ********** Factor found in step 2: 48362529052411789499072324359991381 Found probable prime factor of 35 digits: 48362529052411789499072324359991381 Probable prime cofactor 21294771654514384272421899428463822955945910176527190253 has 56 digits |
name 名前 | Sinkiti Sibata |
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date 日付 | February 15, 2008 10:24:47 UTC 2008 年 2 月 15 日 (金) 19 時 24 分 47 秒 (日本時間) |
composite number 合成数 | 738571550226024392405858563209788417084723191785980144725541056915264197135700547827962950228341820185276112038681199<117> |
prime factors 素因数 | 11902378768854297574550472754083771786485974613585009<53> 62052432086827128788540349410927173560773558990532128882788082911<65> |
factorization results 素因数分解の結果 | Number: 12229_148 N=738571550226024392405858563209788417084723191785980144725541056915264197135700547827962950228341820185276112038681199 ( 117 digits) SNFS difficulty: 149 digits. Divisors found: r1=11902378768854297574550472754083771786485974613585009 (pp53) r2=62052432086827128788540349410927173560773558990532128882788082911 (pp65) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 49.88 hours. Scaled time: 33.72 units (timescale=0.676). Factorization parameters were as follows: name: 12229_148 n: 738571550226024392405858563209788417084723191785980144725541056915264197135700547827962950228341820185276112038681199 m: 100000000000000000000000000000 c5: 11000 c0: 61 skew: 0.35 type: snfs Factor base limits: 1500000/1500000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 45/45 Sieved algebraic special-q in [750000, 5750001) Primes: RFBsize:114155, AFBsize:114409, largePrimes:3268022 encountered Relations: rels:3436305, finalFF:267502 Max relations in full relation-set: 28 Initial matrix: 228631 x 267502 with sparse part having weight 36416837. Pruned matrix : 219053 x 220260 with weight 28994291. Total sieving time: 47.18 hours. Total relation processing time: 0.37 hours. Matrix solve time: 2.20 hours. Time per square root: 0.13 hours. Prototype def-par.txt line would be: snfs,149,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000 total time: 49.88 hours. --------- CPU info (if available) ---------- |
execution environment 実行環境 | Pentium 4 2.4GHz, Windows XP and Cygwin) |
name 名前 | Sinkiti Sibata |
---|---|
date 日付 | February 17, 2008 05:29:50 UTC 2008 年 2 月 17 日 (日) 14 時 29 分 50 秒 (日本時間) |
composite number 合成数 | 315819695664656904966982486362331323571633649153028997990238300315819695664656904966982486362331323571633649153028997990238300315819695664656904967<147> |
prime factors 素因数 | 6242261523111451604167188855731<31> 5345904564855449996407866180568566463290283484418398029<55> 9464028719153806681139681352642106781803923220341415398103633<61> |
factorization results 素因数分解の結果 | Number: 12229_149 N=315819695664656904966982486362331323571633649153028997990238300315819695664656904966982486362331323571633649153028997990238300315819695664656904967 ( 147 digits) SNFS difficulty: 151 digits. Divisors found: r1=6242261523111451604167188855731 (pp31) r2=5345904564855449996407866180568566463290283484418398029 (pp55) r3=9464028719153806681139681352642106781803923220341415398103633 (pp61) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 37.15 hours. Scaled time: 25.08 units (timescale=0.675). Factorization parameters were as follows: name: 12229_149 n: 315819695664656904966982486362331323571633649153028997990238300315819695664656904966982486362331323571633649153028997990238300315819695664656904967 m: 1000000000000000000000000000000 c5: 11 c0: 610 skew: 2.23 type: snfs Factor base limits: 2400000/2400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [1200000, 2200001) Primes: RFBsize:176302, AFBsize:175370, largePrimes:5628786 encountered Relations: rels:5580248, finalFF:504483 Max relations in full relation-set: 28 Initial matrix: 351737 x 504483 with sparse part having weight 45930839. Pruned matrix : 290346 x 292168 with weight 24671675. Total sieving time: 33.54 hours. Total relation processing time: 0.23 hours. Matrix solve time: 3.22 hours. Time per square root: 0.16 hours. Prototype def-par.txt line would be: snfs,151,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000 total time: 37.15 hours. --------- CPU info (if available) ---------- |
execution environment 実行環境 | Pentium 4 2.4GHz, Windows XP and Cygwin) |
name 名前 | Sinkiti Sibata |
---|---|
date 日付 | February 13, 2008 22:26:56 UTC 2008 年 2 月 14 日 (木) 7 時 26 分 56 秒 (日本時間) |
composite number 合成数 | 8151027532125232953778580806805926102268082591328572421015894830608242951223091720643534080488498064269911620158916872675205886792927801<136> |
prime factors 素因数 | 298230907234615127467511105889531439850968018155959379903529<60> 27331263575954269106179281929739251896488872337195589729335803802039679866769<77> |
factorization results 素因数分解の結果 | Number: 12229_157 N=8151027532125232953778580806805926102268082591328572421015894830608242951223091720643534080488498064269911620158916872675205886792927801 ( 136 digits) SNFS difficulty: 158 digits. Divisors found: r1=298230907234615127467511105889531439850968018155959379903529 (pp60) r2=27331263575954269106179281929739251896488872337195589729335803802039679866769 (pp77) Version: GGNFS-0.77.1-20060513-k8 Total time: 59.82 hours. Scaled time: 119.89 units (timescale=2.004). Factorization parameters were as follows: name: 12229_157 n: 8151027532125232953778580806805926102268082591328572421015894830608242951223091720643534080488498064269911620158916872675205886792927801 m: 10000000000000000000000000000000 c5: 1100 c0: 61 skew: 0.56 type: snfs Factor base limits: 4000000/4000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [2000000, 3900001) Primes: RFBsize:283146, AFBsize:282319, largePrimes:5908492 encountered Relations: rels:6075893, finalFF:766526 Max relations in full relation-set: 28 Initial matrix: 565532 x 766526 with sparse part having weight 52202300. Pruned matrix : 420115 x 423006 with weight 36980807. Total sieving time: 56.81 hours. Total relation processing time: 0.25 hours. Matrix solve time: 2.56 hours. Time per square root: 0.19 hours. Prototype def-par.txt line would be: snfs,158,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000 total time: 59.82 hours. --------- CPU info (if available) ---------- |
execution environment 実行環境 | Core 2 Duo E6300 1.86GHz, Windows Vista) |
name 名前 | Sinkiti Sibata |
---|---|
date 日付 | February 15, 2008 09:11:03 UTC 2008 年 2 月 15 日 (金) 18 時 11 分 3 秒 (日本時間) |
composite number 合成数 | 320087257170379743745512038306524681451620506378742376663804041998523402739301653903245691152522955108248039967344338259723<123> |
prime factors 素因数 | 11920843112330238846091327134150343<35> 5533180785858157565411447744926232573<37> 4852734739010638529320321809660405214270996767425057<52> |
factorization results 素因数分解の結果 | Number: 12229_158 N=320087257170379743745512038306524681451620506378742376663804041998523402739301653903245691152522955108248039967344338259723 ( 123 digits) SNFS difficulty: 159 digits. Divisors found: r1=11920843112330238846091327134150343 (pp35) r2=5533180785858157565411447744926232573 (pp37) r3=4852734739010638529320321809660405214270996767425057 (pp52) Version: GGNFS-0.77.1-20060513-k8 Total time: 65.85 hours. Scaled time: 131.77 units (timescale=2.001). Factorization parameters were as follows: name: 12229_158 n: 320087257170379743745512038306524681451620506378742376663804041998523402739301653903245691152522955108248039967344338259723 m: 10000000000000000000000000000000 c5: 11000 c0: 61 skew: 0.35 type: snfs Factor base limits: 4000000/4000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [2000000, 4100001) Primes: RFBsize:283146, AFBsize:284229, largePrimes:5875710 encountered Relations: rels:6004080, finalFF:729809 Max relations in full relation-set: 28 Initial matrix: 567442 x 729809 with sparse part having weight 53653069. Pruned matrix : 449842 x 452743 with weight 37603921. Total sieving time: 62.66 hours. Total relation processing time: 0.25 hours. Matrix solve time: 2.73 hours. Time per square root: 0.21 hours. Prototype def-par.txt line would be: snfs,159,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000 total time: 65.85 hours. --------- CPU info (if available) ---------- |
execution environment 実行環境 | Core 2 Duo E6300 1.86GHz, Windows Vista) |
name 名前 | Jo Yeong Uk |
---|---|
date 日付 | February 12, 2008 02:24:21 UTC 2008 年 2 月 12 日 (火) 11 時 24 分 21 秒 (日本時間) |
composite number 合成数 | 5519872912466055561740774566337694615801555978605628157615996657600425616726036850684518620876301945888435820875954338105940635838887577012847<142> |
prime factors 素因数 | 1483611984731557267694074530155063<34> 3720563711585825353249049668598930117813079072610125563407773914202785970215359546760420442923601907083314569<109> |
factorization results 素因数分解の結果 | GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM] Input number is 5519872912466055561740774566337694615801555978605628157615996657600425616726036850684518620876301945888435820875954338105940635838887577012847 (142 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1537280711 Step 1 took 7123ms Step 2 took 4507ms ********** Factor found in step 2: 1483611984731557267694074530155063 Found probable prime factor of 34 digits: 1483611984731557267694074530155063 Probable prime cofactor 3720563711585825353249049668598930117813079072610125563407773914202785970215359546760420442923601907083314569 has 109 digits |
execution environment 実行環境 | Core 2 Quad Q6600 |
name 名前 | Robert Backstrom |
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date 日付 | April 1, 2008 13:37:46 UTC 2008 年 4 月 1 日 (火) 22 時 37 分 46 秒 (日本時間) |
composite number 合成数 | 37076370572108520285117694169011671267321814898181595809391309168633542846173451775619238671177620592167679409414133382357732851260970228149682256009783901419<158> |
prime factors 素因数 | 84487268400846963130771961910946989225423105211073<50> 404346314135854308052527269390940411387810076224120869<54> 1085306631461643435651060404463146659487393443172166287<55> |
factorization results 素因数分解の結果 | Number: n N=37076370572108520285117694169011671267321814898181595809391309168633542846173451775619238671177620592167679409414133382357732851260970228149682256009783901419 ( 158 digits) SNFS difficulty: 166 digits. Divisors found: Wed Apr 2 00:28:00 2008 prp50 factor: 84487268400846963130771961910946989225423105211073 Wed Apr 2 00:28:00 2008 prp54 factor: 404346314135854308052527269390940411387810076224120869 Wed Apr 2 00:28:00 2008 prp55 factor: 1085306631461643435651060404463146659487393443172166287 Wed Apr 2 00:28:00 2008 elapsed time 00:53:00 (Msieve 1.33) Version: GGNFS-0.77.1-20050930-k8 Total time: 45.93 hours. Scaled time: 38.49 units (timescale=0.838). Factorization parameters were as follows: name: KA_1_2_164_9 n: 37076370572108520285117694169011671267321814898181595809391309168633542846173451775619238671177620592167679409414133382357732851260970228149682256009783901419 type: snfs deg: 5 c5: 11 c0: 61 skew: 1.41 m: 1000000000000000000000000000000000 rlim: 3000000 alim: 3000000 lbpr: 28 lbpa: 28 mbpr: 48 mbpa: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 3000000/3000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved special-q in [100000, 2900001) Primes: RFBsize:216816, AFBsize:216278, largePrimes:5612922 encountered Relations: rels:5482602, finalFF:460483 Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Total sieving time: 45.74 hours. Total relation processing time: 0.19 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,166,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.5,2.5,100000 total time: 45.93 hours. --------- CPU info (if available) ---------- CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03 CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03 Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM) Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888) Calibrating delay loop... 6029.31 BogoMIPS (lpj=3014656) Total of 2 processors activated (11993.08 BogoMIPS). |
name 名前 | Robert Backstrom |
---|---|
date 日付 | June 20, 2008 10:16:28 UTC 2008 年 6 月 20 日 (金) 19 時 16 分 28 秒 (日本時間) |
composite number 合成数 | 101568840330264413237388822930979889101910651497072026084643242058579491153939325114881169376679390422211703898084569112611049921791675345871035972967<150> |
prime factors 素因数 | 748005811625541632642916647689589194648693239663159298286037563308548193<72> 135786164695082180429353840411133841148804527719360141316474387898066866066119<78> |
factorization results 素因数分解の結果 | Number: n N=101568840330264413237388822930979889101910651497072026084643242058579491153939325114881169376679390422211703898084569112611049921791675345871035972967 ( 150 digits) SNFS difficulty: 168 digits. Divisors found: Fri Jun 20 20:10:57 2008 prp72 factor: 748005811625541632642916647689589194648693239663159298286037563308548193 Fri Jun 20 20:10:57 2008 prp78 factor: 135786164695082180429353840411133841148804527719360141316474387898066866066119 Fri Jun 20 20:10:57 2008 elapsed time 02:27:34 (Msieve 1.36) Version: GGNFS-0.77.1-20060513-athlon-xp Total time: 113.07 hours. Scaled time: 148.57 units (timescale=1.314). Factorization parameters were as follows: name: KA_1_2_166_9 n: 101568840330264413237388822930979889101910651497072026084643242058579491153939325114881169376679390422211703898084569112611049921791675345871035972967 skew: 0.56 deg: 5 c5: 1100 c0: 61 m: 1000000000000000000000000000000000 type: snfs rlim: 3800000 alim: 3800000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 3800000/3800000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved special-q in [100000, 5000001) Primes: RFBsize:269987, AFBsize:269319, largePrimes:7804913 encountered Relations: rels:7226972, finalFF:542557 Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Total sieving time: 112.54 hours. Total relation processing time: 0.53 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,168,5,0,0,0,0,0,0,0,0,3800000,3800000,28,28,48,48,2.5,2.5,100000 total time: 113.07 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3200+ |
name 名前 | Robert Backstrom |
---|---|
date 日付 | June 25, 2008 04:54:37 UTC 2008 年 6 月 25 日 (水) 13 時 54 分 37 秒 (日本時間) |
composite number 合成数 | 4294886908593843300622432151296627704737193533254220188966535719820666122536511777508965491500062137057238610263195991513954729651614231663295725113169362258533<160> |
prime factors 素因数 | 411666912515401882965759279521788799204135831<45> 10432917434026609382438829606769439297165342068877860732100883252228761348457631305397697008539566408107238406463843<116> |
factorization results 素因数分解の結果 | Number: n N=4294886908593843300622432151296627704737193533254220188966535719820666122536511777508965491500062137057238610263195991513954729651614231663295725113169362258533 ( 160 digits) SNFS difficulty: 169 digits. Divisors found: Wed Jun 25 12:13:26 2008 prp45 factor: 411666912515401882965759279521788799204135831 Wed Jun 25 12:13:26 2008 prp116 factor: 10432917434026609382438829606769439297165342068877860732100883252228761348457631305397697008539566408107238406463843 Wed Jun 25 12:13:26 2008 elapsed time 02:24:39 (Msieve 1.34) Version: GGNFS-0.77.1-20050930-k8 Total time: 101.65 hours. Scaled time: 63.02 units (timescale=0.620). Factorization parameters were as follows: name: KA_1_2_167_9 n: 4294886908593843300622432151296627704737193533254220188966535719820666122536511777508965491500062137057238610263195991513954729651614231663295725113169362258533 type: snfs deg: 5 c5: 11000 c0: 61 skew: 0.35 m: 1000000000000000000000000000000000 rlim: 5800000 alim: 5800000 lbpr: 28 lbpa: 28 mbpr: 48 mbpa: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 5800000/5800000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved special-q in [100000, 5300093) Primes: RFBsize:399993, AFBsize:401226, largePrimes:5866471 encountered Relations: rels:6006996, finalFF:811405 Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Total sieving time: 101.36 hours. Total relation processing time: 0.29 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,169,5,0,0,0,0,0,0,0,0,5800000,5800000,27,27,48,48,2.5,2.5,100000 total time: 101.65 hours. --------- CPU info (if available) ---------- CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03 CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03 Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM) Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888) Calibrating delay loop... 6029.31 BogoMIPS (lpj=3014656) Total of 2 processors activated (11993.08 BogoMIPS). |
name 名前 | Robert Backstrom |
---|---|
date 日付 | June 2, 2008 02:14:32 UTC 2008 年 6 月 2 日 (月) 11 時 14 分 32 秒 (日本時間) |
composite number 合成数 | 102707749766573295985060690943043884220354808590102707749766573295985060690943043884220354808590102707749766573295985060690943043884220354808590102707749766573295985060691<171> |
prime factors 素因数 | 12028479575122500852357107894999807304683<41> 731295526744164282624207366517572340820823022344947<51> 11676147223871752732879615382398657779764886931536666306447311056887715314521891<80> |
factorization results 素因数分解の結果 | Number: n N=102707749766573295985060690943043884220354808590102707749766573295985060690943043884220354808590102707749766573295985060690943043884220354808590102707749766573295985060691 ( 171 digits) SNFS difficulty: 173 digits. Divisors found: Mon Jun 02 12:00:46 2008 prp41 factor: 12028479575122500852357107894999807304683 Mon Jun 02 12:00:46 2008 prp51 factor: 731295526744164282624207366517572340820823022344947 Mon Jun 02 12:00:46 2008 prp80 factor: 11676147223871752732879615382398657779764886931536666306447311056887715314521891 Mon Jun 02 12:00:46 2008 elapsed time 02:16:33 (Msieve 1.36) Version: GGNFS-0.77.1-20051202-athlon Total time: 132.61 hours. Scaled time: 241.74 units (timescale=1.823). Factorization parameters were as follows: name: KA_1_2_171_9 n: 102707749766573295985060690943043884220354808590102707749766573295985060690943043884220354808590102707749766573295985060690943043884220354808590102707749766573295985060691 skew: 0.56 deg: 5 c5: 1100 c0: 61 m: 10000000000000000000000000000000000 type: snfs rlim: 3800000 alim: 3800000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 3800000/3800000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved special-q in [100000, 8900279) Primes: RFBsize:269987, AFBsize:269319, largePrimes:8671566 encountered Relations: rels:8126828, finalFF:570564 Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Total sieving time: 132.21 hours. Total relation processing time: 0.40 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,173,5,0,0,0,0,0,0,0,0,3800000,3800000,28,28,48,48,2.5,2.5,100000 total time: 132.61 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 X2 6000+ |
name 名前 | Serge Batalov |
---|---|
date 日付 | August 9, 2008 02:34:50 UTC 2008 年 8 月 9 日 (土) 11 時 34 分 50 秒 (日本時間) |
composite number 合成数 | 6506776738926841085832091864702317704939029726883762794768796960571743860949450445779672075229889310813089910124182766157451684881931921911723<142> |
prime factors 素因数 | 370213993053058810577180008052464963<36> 135581314979100013821605633469943622819<39> 129632302176827106237494463843268187181151032935432367315492954199859<69> |
factorization results 素因数分解の結果 | #ECM, then gnfs/Msieve # Using B1=2000000, B2=11413147210, polynomial Dickson(12), sigma=774383078 Step 1 took 13440ms Step 2 took 13985ms ********** Factor found in step 2: 370213993053058810577180008052464963 Found probable prime factor of 36 digits: 370213993053058810577180008052464963 Composite cofactor 17575717992902268267555073239638187779950682665186919490503984459819118518231525646978446649297579838982521 has 107 digits Number: 12229_173 N=17575717992902268267555073239638187779950682665186919490503984459819118518231525646978446649297579838982521 ( 107 digits) Divisors found: r1=135581314979100013821605633469943622819 r2=129632302176827106237494463843268187181151032935432367315492954199859 Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.719). Factorization parameters were as follows: name: 12229_173 n: 17575717992902268267555073239638187779950682665186919490503984459819118518231525646978446649297579838982521 skew: 12412.40 # norm 3.95e+14 c5: 23880 c4: -801144701 c3: -28651090013206 c2: 233589483730740904 c1: 1012470718482202241190 c0: 858705876167084202647853 # alpha -5.24 Y1: 60738216517 Y0: -236252547292224089980 # Murphy_E 1.52e-09 # M 17395019518137050286633518025364420683886479604045755806861763608633749627030105245197574996886503717697083 type: gnfs rlim: 2500000 alim: 2500000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.6 alambda: 2.6 qintsize: 150000 Factor base limits: 2500000/2500000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved algebraic special-q in [1250000, 2450001) Primes: rational ideals filtering, algebraic ideals filtering, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 298764 x 299012 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: gnfs,106,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000 total time: 8.50 hours. |
software ソフトウェア | GMP-ECM 6.2.1+pol51+Msieve 1.36 |
execution environment 実行環境 | Opteron-2.6GHz; Linux x86_64 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | February 11, 2008 09:00:00 UTC 2008 年 2 月 11 日 (月) 18 時 0 分 0 秒 (日本時間) |
name 名前 | Ignacio Santos |
---|---|
date 日付 | March 20, 2010 22:41:43 UTC 2010 年 3 月 21 日 (日) 7 時 41 分 43 秒 (日本時間) |
composite number 合成数 | 8154797189219035185883742410468331537161411161943742852028358977401569108859620535950870810499725134035267583690068457765415372123193367604402289569623038858291385557<166> |
prime factors 素因数 | 204053639276510665495715892952412089741<39> 39963987989298079957790576065453642525506021976434141617561000417779231224664027809264609009659476491650400852324524033300905577<128> |
factorization results 素因数分解の結果 | Number: 4 N=8154797189219035185883742410468331537161411161943742852028358977401569108859620535950870810499725134035267583690068457765415372123193367604402289569623038858291385557 ( 166 digits) SNFS difficulty: 175 digits. Divisors found: r1=204053639276510665495715892952412089741 (pp39) r2=39963987989298079957790576065453642525506021976434141617561000417779231224664027809264609009659476491650400852324524033300905577 (pp128) Version: Msieve-1.40 Total time: 96.86 hours. Scaled time: 168.05 units (timescale=1.735). Factorization parameters were as follows: n: 8154797189219035185883742410468331537161411161943742852028358977401569108859620535950870810499725134035267583690068457765415372123193367604402289569623038858291385557 m: 10000000000000000000000000000000000 deg: 5 c5: 110000 c0: 61 skew: 0.22 type: snfs lss: 1 rlim: 5800000 alim: 5800000 lpbr: 28 lpba: 28 mfbr: 52 mfba: 52 rlambda: 2.5 alambda: 2.5 Factor base limits: 5800000/5800000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 52/52 Sieved rational special-q in [2900000, 7800001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 1237871 x 1238095 Total sieving time: 92.83 hours. Total relation processing time: 0.16 hours. Matrix solve time: 2.08 hours. Time per square root: 1.78 hours. Prototype def-par.txt line would be: snfs,175.000,5,0,0,0,0,0,0,0,0,5800000,5800000,28,28,52,52,2.5,2.5,100000 total time: 96.86 hours. --------- CPU info (if available) ---------- |
software ソフトウェア | GGNFS, Msieve |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | February 11, 2008 09:00:00 UTC 2008 年 2 月 11 日 (月) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 825 | Ignacio Santos | March 12, 2010 12:32:31 UTC 2010 年 3 月 12 日 (金) 21 時 32 分 31 秒 (日本時間) |
name 名前 | Warut Roonguthai |
---|---|
date 日付 | March 20, 2012 14:34:50 UTC 2012 年 3 月 20 日 (火) 23 時 34 分 50 秒 (日本時間) |
composite number 合成数 | 25445323373194071576010003463825297936683153964922344351156347670931795446864483615366700036031576832820358250673044105820667960928116581434734346063<149> |
prime factors 素因数 | 1009527932035299050394699912255853515824294939969<49> 25205170224358242919873357355640252008319879137908820542325198214742974929568966743207947569449130127<101> |
factorization results 素因数分解の結果 | N = 25445323373194071576010003463825297936683153964922344351156347670931795446864483615366700036031576832820358250673044105820667960928116581434734346063 (149 digits) SNFS difficulty: 178 digits. Divisors found: r1=1009527932035299050394699912255853515824294939969 (pp49) r2=25205170224358242919873357355640252008319879137908820542325198214742974929568966743207947569449130127 (pp101) Version: Msieve v. 1.49 (SVN unknown) Total time: 25.36 hours. Factorization parameters were as follows: name: (11*10^176+61)/9 n: 25445323373194071576010003463825297936683153964922344351156347670931795446864483615366700036031576832820358250673044105820667960928116581434734346063 Y0: 100000000000000000000000000000000000 Y1: -1 c0: 61 c1: 0 c2: 0 c3: 0 c4: 0 c5: 110 skew: 0.89 type: snfs Factor base limits: 6500000/6500000 Large primes per side: 3 Large prime bits: 28/28 Sieved rational special-q in [0, 0) Total raw relations: 21031584 Relations: 2647202 relations Pruned matrix : 1513167 x 1513399 Polynomial selection time: 0.00 hours. Total sieving time: 23.17 hours. Total relation processing time: 0.10 hours. Matrix solve time: 2.02 hours. time per square root: 0.08 hours. Prototype def-par.txt line would be: snfs,178,5,0,0,0,0,0,0,0,0,6500000,6500000,28,28,55,55,2.5,2.5,100000 total time: 25.36 hours. Intel64 Family 6 Model 42 Stepping 7, GenuineIntel Windows-7-6.1.7601-SP1 processors: 8, speed: 2.19GHz |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | February 11, 2008 09:00:00 UTC 2008 年 2 月 11 日 (月) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 300 | Ignacio Santos | October 4, 2010 17:21:56 UTC 2010 年 10 月 5 日 (火) 2 時 21 分 56 秒 (日本時間) | |
40 | 3e6 | 2144 | 110 | Ignacio Santos | October 4, 2010 17:21:56 UTC 2010 年 10 月 5 日 (火) 2 時 21 分 56 秒 (日本時間) |
2034 | Wataru Sakai | September 22, 2011 10:06:37 UTC 2011 年 9 月 22 日 (木) 19 時 6 分 37 秒 (日本時間) | |||
45 | 11e6 | 4032 | 32 | Ignacio Santos | October 4, 2010 17:21:56 UTC 2010 年 10 月 5 日 (火) 2 時 21 分 56 秒 (日本時間) |
4000 | Wataru Sakai | October 7, 2011 09:43:28 UTC 2011 年 10 月 7 日 (金) 18 時 43 分 28 秒 (日本時間) |
name 名前 | Warut Roonguthai |
---|---|
date 日付 | March 15, 2013 21:07:55 UTC 2013 年 3 月 16 日 (土) 6 時 7 分 55 秒 (日本時間) |
composite number 合成数 | 38045704004947974476978005295278938728700042080267729415172584604132713065280861541942018016886062739104739134924171059713880259774671210010931014754095068673<158> |
prime factors 素因数 | 166015448567038160635557065057282153<36> 13271963912284740114766041750769751383132683401<47> 17267200403011484159865292470348622164215629835969616774555553640844188447441<77> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=260035165 Step 1 took 23853ms Step 2 took 14835ms ********** Factor found in step 2: 166015448567038160635557065057282153 Found probable prime factor of 36 digits: 166015448567038160635557065057282153 Composite cofactor 229169660614956938515733532818396555014011391844527636486350359308160898134067027729392644455566667127185471995194381626841 has 123 digits Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=252903357 Step 1 took 16193ms Step 2 took 4992ms ********** Factor found in step 2: 13271963912284740114766041750769751383132683401 Found probable prime factor of 47 digits: 13271963912284740114766041750769751383132683401 Probable prime cofactor 17267200403011484159865292470348622164215629835969616774555553640844188447441 has 77 digits |
software ソフトウェア | GMP-ECM 6.3 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | February 11, 2008 09:00:00 UTC 2008 年 2 月 11 日 (月) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 300 | Ignacio Santos | October 4, 2010 19:19:27 UTC 2010 年 10 月 5 日 (火) 4 時 19 分 27 秒 (日本時間) | |
40 | 3e6 | 110 / 2144 | Ignacio Santos | October 4, 2010 19:19:27 UTC 2010 年 10 月 5 日 (火) 4 時 19 分 27 秒 (日本時間) | |
45 | 11e6 | 32 / 4441 | Ignacio Santos | October 4, 2010 19:19:27 UTC 2010 年 10 月 5 日 (火) 4 時 19 分 27 秒 (日本時間) |
name 名前 | Robert Backstrom |
---|---|
date 日付 | May 8, 2008 13:10:49 UTC 2008 年 5 月 8 日 (木) 22 時 10 分 49 秒 (日本時間) |
composite number 合成数 | 5235067405677476170287243585231811618098597413637893336215226567411081842907534068826751291103165097578184206522576880984301467<127> |
prime factors 素因数 | 386743518904360880703905991006429255227<39> 15816269637526716768726379630499787809243<41> 855845109201103507837814977690861986896119008947<48> |
factorization results 素因数分解の結果 | GMP-ECM 6.1.3 [powered by GMP 4.2.1] [ECM] Input number is 5235067405677476170287243585231811618098597413637893336215226567411081842907534068826751291103165097578184206522576880984301467 (127 digits) Using B1=4700000, B2=8562235510, polynomial Dickson(6), sigma=4164732629 Step 1 took 46581ms Step 2 took 15426ms ********** Factor found in step 2: 386743518904360880703905991006429255227 Found probable prime factor of 39 digits: 386743518904360880703905991006429255227 Composite cofactor 13536277015083150708358105307944157502727791650822840210249683528781966042510629446297121 has 89 digits Thu May 8 22:23:43 2008 Thu May 8 22:23:43 2008 Thu May 8 22:23:43 2008 Msieve v. 1.34 Thu May 8 22:23:43 2008 random seeds: 447cc43b 31aa6ae9 Thu May 8 22:23:43 2008 factoring 13536277015083150708358105307944157502727791650822840210249683528781966042510629446297121 (89 digits) Thu May 8 22:23:43 2008 no P-1/P+1/ECM available, skipping Thu May 8 22:23:43 2008 commencing quadratic sieve (89-digit input) Thu May 8 22:23:44 2008 using multiplier of 1 Thu May 8 22:23:44 2008 using 64kb Opteron sieve core Thu May 8 22:23:44 2008 sieve interval: 14 blocks of size 65536 Thu May 8 22:23:44 2008 processing polynomials in batches of 8 Thu May 8 22:23:44 2008 using a sieve bound of 1520879 (58333 primes) Thu May 8 22:23:44 2008 using large prime bound of 121670320 (26 bits) Thu May 8 22:23:44 2008 using double large prime bound of 357546364197680 (42-49 bits) Thu May 8 22:23:44 2008 using trial factoring cutoff of 49 bits Thu May 8 22:23:44 2008 polynomial 'A' values have 11 factors Thu May 8 23:01:20 2008 58833 relations (15979 full + 42854 combined from 614451 partial), need 58429 Thu May 8 23:01:20 2008 begin with 630430 relations Thu May 8 23:01:20 2008 reduce to 142082 relations in 9 passes Thu May 8 23:01:20 2008 attempting to read 142082 relations Thu May 8 23:01:21 2008 recovered 142082 relations Thu May 8 23:01:21 2008 recovered 118230 polynomials Thu May 8 23:01:21 2008 attempting to build 58833 cycles Thu May 8 23:01:21 2008 found 58833 cycles in 5 passes Thu May 8 23:01:21 2008 distribution of cycle lengths: Thu May 8 23:01:21 2008 length 1 : 15979 Thu May 8 23:01:21 2008 length 2 : 11357 Thu May 8 23:01:21 2008 length 3 : 10582 Thu May 8 23:01:21 2008 length 4 : 7805 Thu May 8 23:01:21 2008 length 5 : 5245 Thu May 8 23:01:21 2008 length 6 : 3550 Thu May 8 23:01:21 2008 length 7 : 2031 Thu May 8 23:01:21 2008 length 9+: 2284 Thu May 8 23:01:21 2008 largest cycle: 18 relations Thu May 8 23:01:22 2008 matrix is 58333 x 58833 (14.0 MB) with weight 3422665 (58.18/col) Thu May 8 23:01:22 2008 sparse part has weight 3422665 (58.18/col) Thu May 8 23:01:22 2008 filtering completed in 3 passes Thu May 8 23:01:22 2008 matrix is 54281 x 54344 (12.9 MB) with weight 3170823 (58.35/col) Thu May 8 23:01:22 2008 sparse part has weight 3170823 (58.35/col) Thu May 8 23:01:22 2008 saving the first 48 matrix rows for later Thu May 8 23:01:22 2008 matrix is 54233 x 54344 (8.9 MB) with weight 2545096 (46.83/col) Thu May 8 23:01:22 2008 sparse part has weight 2008783 (36.96/col) Thu May 8 23:01:22 2008 matrix includes 64 packed rows Thu May 8 23:01:22 2008 using block size 21737 for processor cache size 1024 kB Thu May 8 23:01:23 2008 commencing Lanczos iteration Thu May 8 23:01:23 2008 memory use: 8.4 MB Thu May 8 23:01:41 2008 lanczos halted after 859 iterations (dim = 54229) Thu May 8 23:01:41 2008 recovered 14 nontrivial dependencies Thu May 8 23:01:42 2008 prp41 factor: 15816269637526716768726379630499787809243 Thu May 8 23:01:42 2008 prp48 factor: 855845109201103507837814977690861986896119008947 Thu May 8 23:01:42 2008 elapsed time 00:37:59 |
name 名前 | Robert Backstrom |
---|---|
date 日付 | April 22, 2012 13:53:01 UTC 2012 年 4 月 22 日 (日) 22 時 53 分 1 秒 (日本時間) |
composite number 合成数 | 4740692172983764688112992463787701381880783540886609186466419533788084671379339727815000294881228710786433524416307234286876774284559<133> |
prime factors 素因数 | 1387881908915860588304141100439680422152699<43> 31721902510753229188134497580081648224913017<44> 107678752482208230074698244634264271856436452773<48> |
factorization results 素因数分解の結果 | Number: n N=4740692172983764688112992463787701381880783540886609186466419533788084671379339727815000294881228710786433524416307234286876774284559 ( 133 digits) Divisors found: Sun Apr 22 23:37:44 2012 prp43 factor: 1387881908915860588304141100439680422152699 Sun Apr 22 23:37:44 2012 prp44 factor: 31721902510753229188134497580081648224913017 Sun Apr 22 23:37:44 2012 prp48 factor: 107678752482208230074698244634264271856436452773 Sun Apr 22 23:37:44 2012 elapsed time 06:05:13 (Msieve 1.44 - dependency 5) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=1.026). Factorization parameters were as follows: name: KA_12229_183 n: 4740692172983764688112992463787701381880783540886609186466419533788084671379339727815000294881228710786433524416307234286876774284559 skew: 125950.36 # norm 2.65e+18 c5: 177660 c4: -537441934802 c3: -23646538385981386 c2: 8713420797678220290891 c1: 513941996556009098221115640 c0: 6332613460938124249610306892900 # alpha -6.26 Y1: 237334687140793 Y0: -30566974867446092734321373 # Murphy_E 4.94e-11 # M 1996451729173927900701973588692066224365909007220179680523927773711626580523535944663449449813639153589621146664230030256584156009866 type: gnfs rlim: 5400000 alim: 5400000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.5 alambda: 2.5 qintsize: 60000 Factor base limits: 5400000/5400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved special-q in [100000, 23160000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 2872308 hash collisions in 12416094 relations Msieve: matrix is 1375113 x 1375338 (403.2 MB) Total sieving time: 0.00 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: gnfs,132,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5400000,5400000,27,27,51,51,2.5,2.5,60000 total time: 0.00 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU Q6600 @ 2.40GHz stepping 0b CPU1: Intel(R) Core(TM)2 Quad CPU Q6600 @ 2.40GHz stepping 0b CPU2: Intel(R) Core(TM)2 Quad CPU Q6600 @ 2.40GHz stepping 0b CPU3: Intel(R) Core(TM)2 Quad CPU Q6600 @ 2.40GHz stepping 0b Memory: 4012828k/4980736k available (3972k kernel code, 787908k absent, 180000k reserved, 2498k data, 1292k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.52 BogoMIPS (lpj=2400261) Calibrating delay using timer specific routine.. 4799.90 BogoMIPS (lpj=2399952) Calibrating delay using timer specific routine.. 4799.86 BogoMIPS (lpj=2399932) Calibrating delay using timer specific routine.. 4799.90 BogoMIPS (lpj=2399953) Total of 4 processors activated (19200.19 BogoMIPS). |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | February 11, 2008 09:00:00 UTC 2008 年 2 月 11 日 (月) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 300 | Ignacio Santos | October 4, 2010 19:44:34 UTC 2010 年 10 月 5 日 (火) 4 時 44 分 34 秒 (日本時間) | |
40 | 3e6 | 880 | 110 | Ignacio Santos | October 4, 2010 19:44:34 UTC 2010 年 10 月 5 日 (火) 4 時 44 分 34 秒 (日本時間) |
770 | Ignacio Santos | July 8, 2011 14:02:28 UTC 2011 年 7 月 8 日 (金) 23 時 2 分 28 秒 (日本時間) | |||
45 | 11e6 | 252 / 4057 | 32 | Ignacio Santos | October 4, 2010 19:44:34 UTC 2010 年 10 月 5 日 (火) 4 時 44 分 34 秒 (日本時間) |
220 | Ignacio Santos | July 8, 2011 14:02:28 UTC 2011 年 7 月 8 日 (金) 23 時 2 分 28 秒 (日本時間) | |||
50 | 43e6 | 61 / 7462 | Ignacio Santos | July 8, 2011 14:02:28 UTC 2011 年 7 月 8 日 (金) 23 時 2 分 28 秒 (日本時間) |
name 名前 | matsui |
---|---|
date 日付 | October 1, 2010 14:18:53 UTC 2010 年 10 月 1 日 (金) 23 時 18 分 53 秒 (日本時間) |
composite number 合成数 | 4749135471832944356169909634899884609783312479852119551728760063745896648025410525866723875073691726044664605368494865741731877524590427936409094904236873873571316577723489261<175> |
prime factors 素因数 | 1197532413204101288581359609918411536825704490349292185731263<61> 3965767790056072611710606289179603717767506105001961234372227785995276350304032030067746952663255063056800079307347<115> |
factorization results 素因数分解の結果 | N=4749135471832944356169909634899884609783312479852119551728760063745896648025410525866723875073691726044664605368494865741731877524590427936409094904236873873571316577723489261 ( 175 digits) SNFS difficulty: 189 digits. Divisors found: r1=1197532413204101288581359609918411536825704490349292185731263 (pp61) r2=3965767790056072611710606289179603717767506105001961234372227785995276350304032030067746952663255063056800079307347 (pp115) Version: Msieve v. 1.47 Total time: Scaled time: 28.83 units (timescale=1.058). Factorization parameters were as follows: n: 4749135471832944356169909634899884609783312479852119551728760063745896648025410525866723875073691726044664605368494865741731877524590427936409094904236873873571316577723489261 m: 10000000000000000000000000000000000000 deg: 5 c5: 11000 c0: 61 skew: 0.35 type: snfs lss: 1 rlim: 9900000 alim: 9900000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 qintsize: 300000 Factor base limits: 9900000/9900000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 54/54 Sieved rational special-q in [4950000, 18150001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 2219901 x 2220127 Total sieving time: Total relation processing time: Matrix solve time: Time per square root: Prototype def-par.txt line would be: snfs,189.000,5,0,0,0,0,0,0,0,0,9900000,9900000,28,28,54,54,2.5,2.5,100000 total time: |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | February 11, 2008 09:00:00 UTC 2008 年 2 月 11 日 (月) 18 時 0 分 0 秒 (日本時間) |
name 名前 | Eric Jeancolas |
---|---|
date 日付 | July 29, 2020 10:47:59 UTC 2020 年 7 月 29 日 (水) 19 時 47 分 59 秒 (日本時間) |
composite number 合成数 | 31390708511049562436810080062969650302122567268423770599647590878616037606336206074110902616599056453584027709327756162758474631859491969851275647138338899640098563<164> |
prime factors 素因数 | 2030855800866751709515000376583443162245292296140022715000263<61> 15456886942761903260384667702949900194423914303088093566027685913397888975764182283316380417603214544101<104> |
factorization results 素因数分解の結果 | 31390708511049562436810080062969650302122567268423770599647590878616037606336206074110902616599056453584027709327756162758474631859491969851275647138338899640098563=2030855800866751709515000376583443162245292296140022715000263*15456886942761903260384667702949900194423914303088093566027685913397888975764182283316380417603214544101 n: 31390708511049562436810080062969650302122567268423770599647590878616037606336206074110902616599056453584027709327756162758474631859491969851275647138338899640098563 skew: 1.12 type: snfs c0: 305 c5: 176 Y0: 50000000000000000000000000000000000000 Y1: -1 # f(x) = 176*x^5+305 # g(x) = -x+50000000000000000000000000000000000000 Info:Square Root: Factors: 15456886942761903260384667702949900194423914303088093566027685913397888975764182283316380417603214544101 2030855800866751709515000376583443162245292296140022715000263 Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info) Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info) Info:Generate Factor Base: Total cpu/real time for makefb: 4.59/1.99489 Info:Generate Free Relations: Total cpu/real time for freerel: 102.27/26.2115 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 26391114 Info:Lattice Sieving: Average J: 1893.9 for 2637705 special-q, max bucket fill -bkmult 1.0,1s:1.079350 Info:Lattice Sieving: Total time: 539433s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 52.66/114.969 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 114.1s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 427.96/396.685 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 343.0s Info:Filtering - Singleton removal: Total cpu/real time for purge: 340.72/351.6 Info:Filtering - Merging: Total cpu/real time for merge: 311.96/89.826 Info:Filtering - Merging: Total cpu/real time for replay: 84.21/73.0328 Info:Linear Algebra: Total cpu/real time for bwc: 82046.4/20993.2 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: WCT time 13379.42, iteration CPU time 0.18, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (68608 iterations) Info:Linear Algebra: Lingen CPU time 441.18, WCT time 127.94 Info:Linear Algebra: Mksol: WCT time 7277.78, iteration CPU time 0.2, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (34304 iterations) Info:Quadratic Characters: Total cpu/real time for characters: 77.75/32.8518 Info:Square Root: Total cpu/real time for sqrt: 625.69/196.705 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.10332e+06/127739 Info:root: Cleaning up computation data in /tmp/cado.2pvpx0bj 15456886942761903260384667702949900194423914303088093566027685913397888975764182283316380417603214544101 2030855800866751709515000376583443162245292296140022715000263 |
software ソフトウェア | cado-nfs-3.0.0 |
execution environment 実行環境 | Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | February 11, 2008 09:00:00 UTC 2008 年 2 月 11 日 (月) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 300 | Ignacio Santos | October 4, 2010 20:48:19 UTC 2010 年 10 月 5 日 (火) 5 時 48 分 19 秒 (日本時間) | |
40 | 3e6 | 1710 | 110 | Ignacio Santos | October 4, 2010 20:48:19 UTC 2010 年 10 月 5 日 (火) 5 時 48 分 19 秒 (日本時間) |
1300 | Warut Roonguthai | March 16, 2013 13:47:51 UTC 2013 年 3 月 16 日 (土) 22 時 47 分 51 秒 (日本時間) | |||
300 | Serge Batalov | January 9, 2014 04:38:45 UTC 2014 年 1 月 9 日 (木) 13 時 38 分 45 秒 (日本時間) | |||
45 | 11e6 | 4932 | 32 | Ignacio Santos | October 4, 2010 20:48:19 UTC 2010 年 10 月 5 日 (火) 5 時 48 分 19 秒 (日本時間) |
600 | Rich Dickerson | April 21, 2014 16:36:53 UTC 2014 年 4 月 22 日 (火) 1 時 36 分 53 秒 (日本時間) | |||
300 | Serge Batalov | May 27, 2014 00:29:58 UTC 2014 年 5 月 27 日 (火) 9 時 29 分 58 秒 (日本時間) | |||
4000 | Robert Balfour | March 27, 2020 01:22:11 UTC 2020 年 3 月 27 日 (金) 10 時 22 分 11 秒 (日本時間) |
name 名前 | Warut Roonguthai |
---|---|
date 日付 | March 15, 2013 05:50:43 UTC 2013 年 3 月 15 日 (金) 14 時 50 分 43 秒 (日本時間) |
composite number 合成数 | 24873832051279840435458978051241830538283361502907706202701870182056396434891594809410144814646571626585033878673309320385273449799580694636084754293<149> |
prime factors 素因数 | 146126899303272019426968796877760534149021923<45> 170220761337422526130953854181025799122521545819830553249420121326098648223638112596560241848015184629191<105> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=492177248 Step 1 took 24195ms Step 2 took 14290ms ********** Factor found in step 2: 146126899303272019426968796877760534149021923 Found probable prime factor of 45 digits: 146126899303272019426968796877760534149021923 Probable prime cofactor 170220761337422526130953854181025799122521545819830553249420121326098648223638112596560241848015184629191 has 105 digits |
software ソフトウェア | GMP-ECM 6.3 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | February 11, 2008 09:00:00 UTC 2008 年 2 月 11 日 (月) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 300 | Ignacio Santos | October 4, 2010 21:46:26 UTC 2010 年 10 月 5 日 (火) 6 時 46 分 26 秒 (日本時間) | |
40 | 3e6 | 110 / 2144 | Ignacio Santos | October 4, 2010 21:46:26 UTC 2010 年 10 月 5 日 (火) 6 時 46 分 26 秒 (日本時間) | |
45 | 11e6 | 32 / 4441 | Ignacio Santos | October 4, 2010 21:46:26 UTC 2010 年 10 月 5 日 (火) 6 時 46 分 26 秒 (日本時間) |
name 名前 | Warut Roonguthai |
---|---|
date 日付 | March 16, 2013 10:41:40 UTC 2013 年 3 月 16 日 (土) 19 時 41 分 40 秒 (日本時間) |
composite number 合成数 | 11737539402292541692621143470794498274430582462006126488822841210090427574220233767000023751274711608334132747761715659790085658844281273033540865921<149> |
prime factors 素因数 | 1933521723301162921982675759356307660137766357<46> 6070549537065799625359485868250735579760334311859967340630725292169736006551144771493838303939751757053<103> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1781384575 Step 1 took 16349ms Step 2 took 10000ms ********** Factor found in step 2: 1933521723301162921982675759356307660137766357 Found probable prime factor of 46 digits: 1933521723301162921982675759356307660137766357 Probable prime cofactor 6070549537065799625359485868250735579760334311859967340630725292169736006551144771493838303939751757053 has 103 digits |
software ソフトウェア | GMP-ECM 6.3 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | February 11, 2008 09:00:00 UTC 2008 年 2 月 11 日 (月) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 300 | Ignacio Santos | October 4, 2010 22:49:19 UTC 2010 年 10 月 5 日 (火) 7 時 49 分 19 秒 (日本時間) | |
40 | 3e6 | 110 / 2144 | Ignacio Santos | October 4, 2010 22:49:19 UTC 2010 年 10 月 5 日 (火) 7 時 49 分 19 秒 (日本時間) | |
45 | 11e6 | 32 / 4441 | Ignacio Santos | October 4, 2010 22:49:19 UTC 2010 年 10 月 5 日 (火) 7 時 49 分 19 秒 (日本時間) |
name 名前 | Edwin Hall |
---|---|
date 日付 | December 21, 2020 14:37:20 UTC 2020 年 12 月 21 日 (月) 23 時 37 分 20 秒 (日本時間) |
composite number 合成数 | 346655098876312649283917198952541939420053043940207189446772740123193178657976259666578081484497376562508043972489011936443196774689965250786575794787<150> |
prime factors 素因数 | 287112433425351760887739313990579349228259694987021237<54> 1207384489555523813149989393968168141089320562760965890265560036005472774519636917683227680724151<97> |
factorization results 素因数分解の結果 | Factors: 1207384489555523813149989393968168141089320562760965890265560036005472774519636917683227680724151 287112433425351760887739313990579349228259694987021237 Info:Square Root: Total cpu/real time for sqrt: 4676.47/637.328 Info:Filtering - Singleton removal: Total cpu/real time for purge: 270.44/111.49 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 55855564 Info:Lattice Sieving: Average J: 3794.14 for 914544 special-q, max bucket fill -bkmult 1.0,1s:1.212060 Info:Lattice Sieving: Total time: 436942s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 882.04/248.149 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 208.0s Info:Linear Algebra: Total cpu/real time for bwc: 109348/28163.5 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 69821.42, WCT time 18077.51, iteration CPU time 0.2, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (84000 iterations) Info:Linear Algebra: Lingen CPU time 1056.28, WCT time 135.24 Info:Linear Algebra: Mksol: CPU time 36917.82, WCT time 9446.5, iteration CPU time 0.21, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (42000 iterations) Info:Generate Free Relations: Total cpu/real time for freerel: 621.83/79.2853 Info:Generate Factor Base: Total cpu/real time for makefb: 37.65/6.76883 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 134.96/192.286 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 192.20000000000002s Info:Filtering - Merging: Total cpu/real time for merge: 475.07/88.963 Info:Filtering - Merging: Total cpu/real time for replay: 91.61/75.7909 Info:Quadratic Characters: Total cpu/real time for characters: 110.71/30.8751 Info:Square Root: Total cpu/real time for sqrt: 4676.47/637.328 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.47602e+06/46970.9 1207384489555523813149989393968168141089320562760965890265560036005472774519636917683227680724151 287112433425351760887739313990579349228259694987021237 |
software ソフトウェア | CADO-NFS |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | February 11, 2008 09:00:00 UTC 2008 年 2 月 11 日 (月) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 300 | Ignacio Santos | October 5, 2010 04:35:02 UTC 2010 年 10 月 5 日 (火) 13 時 35 分 2 秒 (日本時間) | |
40 | 3e6 | 2310 | 110 | Ignacio Santos | October 5, 2010 04:35:02 UTC 2010 年 10 月 5 日 (火) 13 時 35 分 2 秒 (日本時間) |
2200 | Warut Roonguthai | March 16, 2013 13:01:35 UTC 2013 年 3 月 16 日 (土) 22 時 1 分 35 秒 (日本時間) | |||
45 | 11e6 | 3954 | 32 | Ignacio Santos | October 5, 2010 04:35:02 UTC 2010 年 10 月 5 日 (火) 13 時 35 分 2 秒 (日本時間) |
300 | Serge Batalov | May 27, 2014 00:29:58 UTC 2014 年 5 月 27 日 (火) 9 時 29 分 58 秒 (日本時間) | |||
3622 | Taiyo Kodama | November 2, 2020 09:23:08 UTC 2020 年 11 月 2 日 (月) 18 時 23 分 8 秒 (日本時間) |
name 名前 | Eric Jeancolas |
---|---|
date 日付 | December 13, 2020 11:57:58 UTC 2020 年 12 月 13 日 (日) 20 時 57 分 58 秒 (日本時間) |
composite number 合成数 | 6100522906481980313205279747383117110906194377574821296515668954235988206903230021902246371652883136385002347846845463016353013141154552303967509543<148> |
prime factors 素因数 | 749584837708190410849515842611051446098065845031243<51> 8138535626112654976817703375081604031306228404967791430495227637298126186548290768401844116878101<97> |
factorization results 素因数分解の結果 | 6100522906481980313205279747383117110906194377574821296515668954235988206903230021902246371652883136385002347846845463016353013141154552303967509543=749584837708190410849515842611051446098065845031243*8138535626112654976817703375081604031306228404967791430495227637298126186548290768401844116878101 cado polynomial n: 6100522906481980313205279747383117110906194377574821296515668954235988206903230021902246371652883136385002347846845463016353013141154552303967509543 skew: 1.12 type: snfs c0: 305 c5: 176 Y0: 500000000000000000000000000000000000000 Y1: -1 # f(x) = 176*x^5+305 # g(x) = -x+500000000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 12800000 tasks.lim1 = 12800000 tasks.lpb0 = 28 tasks.lpb1 = 28 tasks.sieve.mfb0 = 55 tasks.sieve.mfb1 = 55 tasks.sieve.lambda0 = 2.5 tasks.sieve.lambda1 = 2.5 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 8138535626112654976817703375081604031306228404967791430495227637298126186548290768401844116878101 749584837708190410849515842611051446098065845031243 Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info) Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info) Info:Generate Factor Base: Total cpu/real time for makefb: 5.41/2.17649 Info:Generate Free Relations: Total cpu/real time for freerel: 102.75/26.6276 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 30510250 Info:Lattice Sieving: Average J: 1893.45 for 4163985 special-q, max bucket fill -bkmult 1.0,1s:1.084550 Info:Lattice Sieving: Total time: 1.02442e+06s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 59.03/148.625 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 147.9s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 529/529.028 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 462.4s Info:Filtering - Singleton removal: Total cpu/real time for purge: 461.17/543.129 Info:Filtering - Merging: Merged matrix has 2734133 rows and total weight 468976357 (171.5 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 385.57/111.465 Info:Filtering - Merging: Total cpu/real time for replay: 105.29/92.7676 Info:Linear Algebra: Total cpu/real time for bwc: 133401/34127.6 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: WCT time 21659.12, iteration CPU time 0.24, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (85504 iterations) Info:Linear Algebra: Lingen CPU time 554.92, WCT time 160.79 Info:Linear Algebra: Mksol: WCT time 12009.45, iteration CPU time 0.27, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (43008 iterations) Info:Quadratic Characters: Total cpu/real time for characters: 94.26/40.2583 Info:Square Root: Total cpu/real time for sqrt: 767.8/242.864 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.02535e+06/548379 Info:root: Cleaning up computation data in /tmp/cado.lb6h5cgl 8138535626112654976817703375081604031306228404967791430495227637298126186548290768401844116878101 749584837708190410849515842611051446098065845031243 |
software ソフトウェア | cado-nfs-3.0.0 |
execution environment 実行環境 | 6 x Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | February 11, 2008 09:00:00 UTC 2008 年 2 月 11 日 (月) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 300 | Ignacio Santos | October 5, 2010 04:36:48 UTC 2010 年 10 月 5 日 (火) 13 時 36 分 48 秒 (日本時間) | |
40 | 3e6 | 3510 | 110 | Ignacio Santos | October 5, 2010 04:36:48 UTC 2010 年 10 月 5 日 (火) 13 時 36 分 48 秒 (日本時間) |
3400 | Warut Roonguthai | March 16, 2013 06:24:11 UTC 2013 年 3 月 16 日 (土) 15 時 24 分 11 秒 (日本時間) | |||
45 | 11e6 | 2100 / 3689 | 32 | Ignacio Santos | October 5, 2010 04:36:48 UTC 2010 年 10 月 5 日 (火) 13 時 36 分 48 秒 (日本時間) |
300 | Serge Batalov | May 27, 2014 00:29:59 UTC 2014 年 5 月 27 日 (火) 9 時 29 分 59 秒 (日本時間) | |||
1768 | Eric Jeancolas | October 10, 2020 06:46:33 UTC 2020 年 10 月 10 日 (土) 15 時 46 分 33 秒 (日本時間) |
name 名前 | Ignacio Santos |
---|---|
date 日付 | October 5, 2010 04:33:10 UTC 2010 年 10 月 5 日 (火) 13 時 33 分 10 秒 (日本時間) |
composite number 合成数 | 505680443903975398414855721305732561093780703415117921284326032059425934654646485728442044069743883462574991401692386242014464580708731092576656126818799770947<159> |
prime factors 素因数 | 212071210648912284976835816180723<33> |
composite cofactor 合成数の残り | 2384484166222535956768034306237326982535170734203240096818681251090091576902824324062731754640758120473952644973293623961554289<127> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3704976283 Step 1 took 22838ms Step 2 took 12371ms ********** Factor found in step 2: 212071210648912284976835816180723 Found probable prime factor of 33 digits: 212071210648912284976835816180723 Composite cofactor 2384484166222535956768034306237326982535170734203240096818681251090091576902824324062731754640758120473952644973293623961554289 has 127 digits |
software ソフトウェア | GMP-ECM 6.3 |
name 名前 | Erik Branger |
---|---|
date 日付 | October 15, 2010 05:33:25 UTC 2010 年 10 月 15 日 (金) 14 時 33 分 25 秒 (日本時間) |
composite number 合成数 | 2384484166222535956768034306237326982535170734203240096818681251090091576902824324062731754640758120473952644973293623961554289<127> |
prime factors 素因数 | 5338460450999237824237853885427217427507670656780083<52> 446661390134718521913703220641808230813112409002557427937064503643987527883<75> |
factorization results 素因数分解の結果 | Number: 12229_195 N = 2384484166222535956768034306237326982535170734203240096818681251090091576902824324062731754640758120473952644973293623961554289 (127 digits) Divisors found: r1=5338460450999237824237853885427217427507670656780083 (pp52) r2=446661390134718521913703220641808230813112409002557427937064503643987527883 (pp75) Version: Msieve v. 1.47 Total time: 75.80 hours. Factorization parameters were as follows: # Murphy_E = 1.367e-10, selected by Erik Branger n: 2384484166222535956768034306237326982535170734203240096818681251090091576902824324062731754640758120473952644973293623961554289 Y0: -9209064152323486270305271 Y1: 26776081327861 c0: 5040592571095633402037387676600300 c1: 19880761062636942682886230590 c2: -8917212804124971640184 c3: -4302604271818534 c4: 411987541 c5: 36 skew: 4441958.58 type: gnfs # selected mechanically rlim: 7800000 alim: 7800000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 7800000/7800000 Large primes per side: 3 Large prime bits: 28/28 Sieved algebraic special-q in [3900000, 6900000) Relations: 16790031 Relations in full relation-set: 2053836 relations Pruned matrix : 1166771 x 1167006 Polynomial selection time: 0.00 hours. Total sieving time: 74.14 hours. Total relation processing time: 0.12 hours. Matrix solve time: 1.33 hours. time per square root: 0.20 hours. Prototype def-par.txt line would be: gnfs,126,5,65,2000,1e-05,0.28,250,20,50000,3600,7800000,7800000,28,28,53,53,2.5,2.5,100000 total time: 75.80 hours. --------- CPU info (if available) ---------- |
software ソフトウェア | GGNFS, Msieve |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | February 11, 2008 09:00:00 UTC 2008 年 2 月 11 日 (月) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 300 | Ignacio Santos | October 5, 2010 17:47:25 UTC 2010 年 10 月 6 日 (水) 2 時 47 分 25 秒 (日本時間) | |
40 | 3e6 | 2446 | 110 | Ignacio Santos | October 5, 2010 17:47:25 UTC 2010 年 10 月 6 日 (水) 2 時 47 分 25 秒 (日本時間) |
2336 | Wataru Sakai | October 6, 2010 14:52:28 UTC 2010 年 10 月 6 日 (水) 23 時 52 分 28 秒 (日本時間) | |||
45 | 11e6 | 32 / 3924 | Ignacio Santos | October 5, 2010 17:47:25 UTC 2010 年 10 月 6 日 (水) 2 時 47 分 25 秒 (日本時間) |
name 名前 | Robert Backstrom |
---|---|
date 日付 | March 14, 2010 06:18:59 UTC 2010 年 3 月 14 日 (日) 15 時 18 分 59 秒 (日本時間) |
composite number 合成数 | 2349975432075028306522249994659146745284026576085795466683757397081757781623192121173278642996005041765472451878912175009079450533017154820654147706637612424961011771240573394005426306906791429<193> |
prime factors 素因数 | 699832124108847798741485425887914051354612179418155850943173793518512148779<75> 3357913063890057812139730083956434092709376336074841936115931570216636665682954630291217184320194608355208412264830351<118> |
factorization results 素因数分解の結果 | Number: n N=2349975432075028306522249994659146745284026576085795466683757397081757781623192121173278642996005041765472451878912175009079450533017154820654147706637612424961011771240573394005426306906791429 ( 193 digits) SNFS difficulty: 197 digits. Divisors found: Sun Mar 14 17:02:24 2010 prp75 factor: 699832124108847798741485425887914051354612179418155850943173793518512148779 Sun Mar 14 17:02:24 2010 prp118 factor: 3357913063890057812139730083956434092709376336074841936115931570216636665682954630291217184320194608355208412264830351 Sun Mar 14 17:02:24 2010 elapsed time 08:39:01 (Msieve 1.42 - dependency 1) Version: Total time: 27.91 hours. Scaled time: 23.50 units (timescale=0.842). Factorization parameters were as follows: name: KA_1_2_195_9 n: 2349975432075028306522249994659146745284026576085795466683757397081757781623192121173278642996005041765472451878912175009079450533017154820654147706637612424961011771240573394005426306906791429 m: 1000000000000000000000000000000000000000 deg: 5 c5: 110 c0: 61 skew: 0.89 type: snfs lss: 1 rlim: 13500000 alim: 13500000 lpbr: 28 lpba: 28 mfbr: 56 mfba: 56 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 13500000/13500000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 56/56 Sieved special-q in [100000, 13644187) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 5330955 hash collisions in 34391077 relations Msieve: matrix is 1813700 x 1813926 (484.3 MB) Total sieving time: 27.91 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,197,5,0,0,0,0,0,0,0,0,13500000,13500000,28,28,56,56,2.5,2.5,100000 total time: 27.91 hours. --------- CPU info (if available) ---------- |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | February 11, 2008 09:00:00 UTC 2008 年 2 月 11 日 (月) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 2336 | Wataru Sakai | September 10, 2009 10:46:06 UTC 2009 年 9 月 10 日 (木) 19 時 46 分 6 秒 (日本時間) | |
45 | 11e6 | 0 | - | - | |
50 | 43e6 | 1140 / 7465 | yoyo@home | January 14, 2010 10:20:21 UTC 2010 年 1 月 14 日 (木) 19 時 20 分 21 秒 (日本時間) |
name 名前 | Warut Roonguthai |
---|---|
date 日付 | March 16, 2013 01:50:03 UTC 2013 年 3 月 16 日 (土) 10 時 50 分 3 秒 (日本時間) |
composite number 合成数 | 1038506081042651623853576201072436625198140180871501297515091378465604204410270519119707278831520355108842915120345672701904057472916207222259<142> |
prime factors 素因数 | 296494981326206096780134845005342753<36> 172621550187742328177268741389321046757071839<45> 20290683886755321086478451532646109208162058265221451375017677<62> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3469469862 Step 1 took 12839ms Step 2 took 8393ms ********** Factor found in step 2: 296494981326206096780134845005342753 Found probable prime factor of 36 digits: 296494981326206096780134845005342753 Composite cofactor 3502609306901148229904030686861893419815575434804281512594700110913063188321202586371031212863853383898003 has 106 digits N = 3502609306901148229904030686861893419815575434804281512594700110913063188321202586371031212863853383898003 (106 digits) Divisors found: r1=172621550187742328177268741389321046757071839 (pp45) r2=20290683886755321086478451532646109208162058265221451375017677 (pp62) Version: Msieve v. 1.48 Total time: 3.06 hours. Factorization parameters were as follows: n: 3502609306901148229904030686861893419815575434804281512594700110913063188321202586371031212863853383898003 Y0: -566541137453737938825 Y1: 59446063253 c0: 10881854374108905716281496 c1: -48394463285263955922 c2: -176038178992160668 c3: 2744876831253 c4: 109551656 c5: 60 skew: 40115.51 type: gnfs Factor base limits: 2500000/2500000 Large primes per side: 3 Large prime bits: 26/26 Sieved algebraic special-q in [0, 0) Total raw relations: 5058874 Relations: 463722 relations Pruned matrix : 281900 x 282131 Polynomial selection time: 0.00 hours. Total sieving time: 2.94 hours. Total relation processing time: 0.02 hours. Matrix solve time: 0.09 hours. time per square root: 0.01 hours. Prototype def-par.txt line would be: gnfs,105,5,59,2000,0.0006,0.25,200,15,15000,2000,2500000,2500000,26,26,49,49,2.6,2.6,150000 total time: 3.06 hours. Intel64 Family 6 Model 42 Stepping 7, GenuineIntel Windows-7-6.1.7601-SP1 processors: 4, speed: 2.29GHz |
software ソフトウェア | GMP-ECM 6.3 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | February 11, 2008 09:00:00 UTC 2008 年 2 月 11 日 (月) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 300 | Ignacio Santos | October 5, 2010 04:35:45 UTC 2010 年 10 月 5 日 (火) 13 時 35 分 45 秒 (日本時間) | |
40 | 3e6 | 110 / 2144 | Ignacio Santos | October 5, 2010 04:35:45 UTC 2010 年 10 月 5 日 (火) 13 時 35 分 45 秒 (日本時間) | |
45 | 11e6 | 32 / 4441 | Ignacio Santos | October 5, 2010 04:35:45 UTC 2010 年 10 月 5 日 (火) 13 時 35 分 45 秒 (日本時間) |
name 名前 | Sinkiti Sibata |
---|---|
date 日付 | March 14, 2008 22:55:16 UTC 2008 年 3 月 15 日 (土) 7 時 55 分 16 秒 (日本時間) |
composite number 合成数 | 1432683416038239622813529741205277484728897224501491293192148894880110446866981857018195079383685643209731827713307024056056994751168939423540290964977402675210669584131077508172807668763594211959<196> |
prime factors 素因数 | 3841095258017395523843912468543<31> |
composite cofactor 合成数の残り | 372988254599477911916222836024223504927065229009928696460004135733498615633072233566730189925228638215606368739612714868913553887169813562866201417920242857682106313<165> |
factorization results 素因数分解の結果 | 1432683416038239622813529741205277484728897224501491293192148894880110446866981857018195079383685643209731827713307024056056994751168939423540290964977402675210669584131077508172807668763594211959 Run 3 out of 1000: Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1253208643 Step 1 took 34594ms Step 2 took 20641ms ********** Factor found in step 2: 3841095258017395523843912468543 Found probable prime factor of 31 digits: 3841095258017395523843912468543 Composite cofactor 3729882545994779119162228360242235049270652290099286964600041 35733498615633072233566730189925228638215606368739612714868913553887169813562866 201417920242857682106313 has 165 digits |
software ソフトウェア | (上の枠に貼り付けた素因数分解ソフトウェアの出力結果にソフトウェアの種類とバージョンの情報が含まれていない場合は、それをここに記入してください。例: GMP-ECM 6.1.2 |
execution environment 実行環境 | Pentium 4 2.4GHz, Windows XP and Cygwin) |
name 名前 | Eric Jeancolas |
---|---|
date 日付 | October 9, 2021 08:40:03 UTC 2021 年 10 月 9 日 (土) 17 時 40 分 3 秒 (日本時間) |
composite number 合成数 | 372988254599477911916222836024223504927065229009928696460004135733498615633072233566730189925228638215606368739612714868913553887169813562866201417920242857682106313<165> |
prime factors 素因数 | 6877305450165256257005339179531704702949872587<46> 54234650082397503028400681920267877589645384534370039191321237611614425769134816926967674946127012945258464142538864699<119> |
factorization results 素因数分解の結果 | 372988254599477911916222836024223504927065229009928696460004135733498615633072233566730189925228638215606368739612714868913553887169813562866201417920242857682106313=6877305450165256257005339179531704702949872587*54234650082397503028400681920267877589645384534370039191321237611614425769134816926967674946127012945258464142538864699 cado polynomial n: 372988254599477911916222836024223504927065229009928696460004135733498615633072233566730189925228638215606368739612714868913553887169813562866201417920242857682106313 skew: 1.12 type: snfs c0: 305 c5: 176 Y0: 5000000000000000000000000000000000000000 Y1: -1 # f(x) = 176*x^5+305 # g(x) = -x+5000000000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 15500000 tasks.lim1 = 15500000 tasks.lpb0 = 29 tasks.lpb1 = 29 tasks.sieve.mfb0 = 56 tasks.sieve.mfb1 = 56 tasks.sieve.lambda0 = 2.6 tasks.sieve.lambda1 = 2.6 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 54234650082397503028400681920267877589645384534370039191321237611614425769134816926967674946127012945258464142538864699 6877305450165256257005339179531704702949872587 Info:Square Root: Total cpu/real time for sqrt: 1922.23/589.143 Info:Square Root: Total cpu/real time for sqrt: 1922.23/589.143 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 213.51/255.987 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 255.39999999999998s Info:Generate Factor Base: Total cpu/real time for makefb: 6.47/2.93053 Info:Filtering - Singleton removal: Total cpu/real time for purge: 714.47/842.231 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 49651334 Info:Lattice Sieving: Average J: 1893.84 for 5139737 special-q, max bucket fill -bkmult 1.0,1s:1.126170 Info:Lattice Sieving: Total time: 1.32875e+06s Info:Filtering - Merging: Merged matrix has 3634825 rows and total weight 617994783 (170.0 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 1038.44/286.315 Info:Filtering - Merging: Total cpu/real time for replay: 145.16/128.032 Info:Linear Algebra: Total cpu/real time for bwc: 246860/63154.7 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 159744.99, WCT time 40753.27, iteration CPU time 0.34, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (113664 iterations) Info:Linear Algebra: Lingen CPU time 795.69, WCT time 201.83 Info:Linear Algebra: Mksol: CPU time 84872.99, WCT time 21665.75, iteration CPU time 0.36, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (56832 iterations) Info:Quadratic Characters: Total cpu/real time for characters: 130.46/55.1504 Info:Generate Free Relations: Total cpu/real time for freerel: 234.4/61.2848 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 965.82/975.356 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 788.9000000000001s Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.75385e+06/126316 54234650082397503028400681920267877589645384534370039191321237611614425769134816926967674946127012945258464142538864699 6877305450165256257005339179531704702949872587 |
software ソフトウェア | cado-nfs-3.0.0 |
execution environment 実行環境 | Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | February 11, 2008 09:00:00 UTC 2008 年 2 月 11 日 (月) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 300 | Ignacio Santos | October 5, 2010 11:08:40 UTC 2010 年 10 月 5 日 (火) 20 時 8 分 40 秒 (日本時間) | |
40 | 3e6 | 2710 | 110 | Ignacio Santos | October 5, 2010 11:08:40 UTC 2010 年 10 月 5 日 (火) 20 時 8 分 40 秒 (日本時間) |
1000 | Warut Roonguthai | March 16, 2013 15:53:11 UTC 2013 年 3 月 17 日 (日) 0 時 53 分 11 秒 (日本時間) | |||
300 | Serge Batalov | January 9, 2014 04:38:46 UTC 2014 年 1 月 9 日 (木) 13 時 38 分 46 秒 (日本時間) | |||
1300 | Serge Batalov | May 26, 2014 18:01:28 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 28 秒 (日本時間) | |||
45 | 11e6 | 4512 | 32 | Ignacio Santos | October 5, 2010 11:08:40 UTC 2010 年 10 月 5 日 (火) 20 時 8 分 40 秒 (日本時間) |
4480 | Ignacio Santos | August 5, 2021 19:07:33 UTC 2021 年 8 月 6 日 (金) 4 時 7 分 33 秒 (日本時間) |
name 名前 | Warut Roonguthai |
---|---|
date 日付 | March 13, 2013 19:07:35 UTC 2013 年 3 月 14 日 (木) 4 時 7 分 35 秒 (日本時間) |
composite number 合成数 | 40137002186268375875122889849624726520692897542748327889841370134596138744651176464127973740413860038114507694080067972061906237911507144000171107691633564173754143918629997<173> |
prime factors 素因数 | 1465244970447489243314214050109773<34> |
composite cofactor 合成数の残り | 27392690639306846737442896452453758429081746014011719306509121712820701456377390884967789532663482640305445631664426385771247148972753987489<140> |
factorization results 素因数分解の結果 | Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2764707762 Step 1 took 7831ms Step 2 took 5866ms ********** Factor found in step 2: 1465244970447489243314214050109773 Found probable prime factor of 34 digits: 1465244970447489243314214050109773 Composite cofactor 27392690639306846737442896452453758429081746014011719306509121712820701456377390884967789532663482640305445631664426385771247148972753987489 has 140 digits |
software ソフトウェア | GMP-ECM 6.3 |
name 名前 | Warut Roonguthai |
---|---|
date 日付 | March 14, 2013 14:58:20 UTC 2013 年 3 月 14 日 (木) 23 時 58 分 20 秒 (日本時間) |
composite number 合成数 | 27392690639306846737442896452453758429081746014011719306509121712820701456377390884967789532663482640305445631664426385771247148972753987489<140> |
prime factors 素因数 | 43995874159827830386703320218619823<35> 622619533363399430673638242532843452824438722158058998441046918212107040418838800110512251026791221133743<105> |
factorization results 素因数分解の結果 | Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=974976605 Step 1 took 5336ms Step 2 took 4040ms ********** Factor found in step 2: 43995874159827830386703320218619823 Found probable prime factor of 35 digits: 43995874159827830386703320218619823 Probable prime cofactor 622619533363399430673638242532843452824438722158058998441046918212107040418838800110512251026791221133743 has 105 digits |
software ソフトウェア | GMP-ECM 6.3 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 0 | - | - | |
35 | 1e6 | 118 / 904 | Makoto Kamada | March 13, 2013 14:00:00 UTC 2013 年 3 月 13 日 (水) 23 時 0 分 0 秒 (日本時間) |
name 名前 | Warut Roonguthai |
---|---|
date 日付 | March 13, 2013 19:03:40 UTC 2013 年 3 月 14 日 (木) 4 時 3 分 40 秒 (日本時間) |
composite number 合成数 | 21086346257499812163306773333889154085156477473003799291670408606542359783901733116262280452995530633702594726108467946233966069542727401153751742237554326951156323825999935621084547170437122279333<197> |
prime factors 素因数 | 784655043993460239711103354493609<33> |
composite cofactor 合成数の残り | 26873396684206566746762561085718082571916442318078907431457211507979122532144210037687215701310165481706371003221904683668779193267583849094527061039369393209966237<164> |
factorization results 素因数分解の結果 | Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3311623188 Step 1 took 12168ms Step 2 took 7020ms ********** Factor found in step 2: 784655043993460239711103354493609 Found probable prime factor of 33 digits: 784655043993460239711103354493609 Composite cofactor 26873396684206566746762561085718082571916442318078907431457211507979122532144210037687215701310165481706371003221904683668779193267583849094527061039369393209966237 has 164 digits |
software ソフトウェア | GMP-ECM 6.3 |
name 名前 | Serge Batalov |
---|---|
date 日付 | January 9, 2014 07:25:42 UTC 2014 年 1 月 9 日 (木) 16 時 25 分 42 秒 (日本時間) |
composite number 合成数 | 26873396684206566746762561085718082571916442318078907431457211507979122532144210037687215701310165481706371003221904683668779193267583849094527061039369393209966237<164> |
prime factors 素因数 | 24916789104353075616718668041094679018914793<44> 1078525670850248636048342193074087255889618796744731826777568586516569742778117124957254223216591121064938014029617346709<121> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1728892841 Step 1 took 12211ms Step 2 took 5615ms ********** Factor found in step 2: 24916789104353075616718668041094679018914793 Found probable prime factor of 44 digits: 24916789104353075616718668041094679018914793 Probable prime cofactor |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1418 | 118 | Makoto Kamada | March 13, 2013 14:00:00 UTC 2013 年 3 月 13 日 (水) 23 時 0 分 0 秒 (日本時間) |
1300 | Warut Roonguthai | March 16, 2013 15:53:45 UTC 2013 年 3 月 17 日 (日) 0 時 53 分 45 秒 (日本時間) | |||
40 | 3e6 | 300 / 1964 | Serge Batalov | January 9, 2014 04:38:46 UTC 2014 年 1 月 9 日 (木) 13 時 38 分 46 秒 (日本時間) |
name 名前 | Warut Roonguthai |
---|---|
date 日付 | March 14, 2013 04:32:39 UTC 2013 年 3 月 14 日 (木) 13 時 32 分 39 秒 (日本時間) |
composite number 合成数 | 581574279124204641741409183099077645845897048884956162917201180000798851679471773821389439657771503528413850783927211197599151206017876777673275967701907263762745627354827454240427<180> |
prime factors 素因数 | 6378044743217401174541370796975996342273<40> 91183787906578688476188341780452026472920214610831791809248859022384414397143023289264260429656742843623310787111243808664698014353960969899<140> |
factorization results 素因数分解の結果 | Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=604478671 Step 1 took 10545ms Step 2 took 6287ms ********** Factor found in step 2: 6378044743217401174541370796975996342273 Found probable prime factor of 40 digits: 6378044743217401174541370796975996342273 Probable prime cofactor 91183787906578688476188341780452026472920214610831791809248859022384414397143023289264260429656742843623310787111243808664698014353960969899 has 140 digits |
software ソフトウェア | GMP-ECM 6.3 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 0 | - | - | |
35 | 1e6 | 118 / 904 | Makoto Kamada | March 13, 2013 14:00:00 UTC 2013 年 3 月 13 日 (水) 23 時 0 分 0 秒 (日本時間) |
name 名前 | Bob Backstrom |
---|---|
date 日付 | August 1, 2017 04:20:42 UTC 2017 年 8 月 1 日 (火) 13 時 20 分 42 秒 (日本時間) |
composite number 合成数 | 47475178714160075849452979985245836596226837664146455436476154342030427851964434202926255212326845560995045736357134500586562306901454213493971038578619390124100246636574567797949679098650758442091307<200> |
prime factors 素因数 | 262888092387914459712148508184291071319341061918040807524768781013028881951<75> 180590829667957275637417208807784542638687337590103066706339862468813355987792944671113276017728697310039382003270998976375157<126> |
factorization results 素因数分解の結果 | Number: n N=47475178714160075849452979985245836596226837664146455436476154342030427851964434202926255212326845560995045736357134500586562306901454213493971038578619390124100246636574567797949679098650758442091307 ( 200 digits) SNFS difficulty: 208 digits. Divisors found: Tue Aug 1 13:56:28 2017 prp75 factor: 262888092387914459712148508184291071319341061918040807524768781013028881951 Tue Aug 1 13:56:28 2017 prp126 factor: 180590829667957275637417208807784542638687337590103066706339862468813355987792944671113276017728697310039382003270998976375157 Tue Aug 1 13:56:28 2017 elapsed time 10:40:35 (Msieve 1.44 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=4.429). Factorization parameters were as follows: # # N = 11*10^207+61 12(206)9 # n: 47475178714160075849452979985245836596226837664146455436476154342030427851964434202926255212326845560995045736357134500586562306901454213493971038578619390124100246636574567797949679098650758442091307 m: 100000000000000000000000000000000000000000 deg: 5 c5: 1100 c0: 61 skew: 0.56 # Murphy_E = 6.328e-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, 28100000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 7602180 hash collisions in 52623960 relations (46831867 unique) Msieve: matrix is 3353918 x 3354142 (960.5 MB) Total sieving time: 0.00 hours. Total relation processing time: 10hrs 14min 9sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 13min 59sec. 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) ---------- [ 0.050273] smpboot: CPU0: Intel(R) Core(TM) i7-6700K CPU @ 4.00GHz (family: 0x6, model: 0x5e, stepping: 0x3) [ 0.000000] Memory: 16339156K/16705272K available (7836K kernel code, 1309K rwdata, 3448K rodata, 1528K init, 1544K bss, 366116K reserved, 0K cma-reserved) [ 0.000018] Calibrating delay loop (skipped), value calculated using timer frequency.. 8016.72 BogoMIPS (lpj=4008360) [ 0.074633] smpboot: Total of 8 processors activated (64133.76 BogoMIPS) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1418 | 118 | Makoto Kamada | March 13, 2013 14:00:00 UTC 2013 年 3 月 13 日 (水) 23 時 0 分 0 秒 (日本時間) |
1300 | Warut Roonguthai | March 16, 2013 15:53:58 UTC 2013 年 3 月 17 日 (日) 0 時 53 分 58 秒 (日本時間) | |||
40 | 3e6 | 1600 | 300 | Serge Batalov | January 9, 2014 04:38:47 UTC 2014 年 1 月 9 日 (木) 13 時 38 分 47 秒 (日本時間) |
1300 | Serge Batalov | May 26, 2014 18:01:28 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 28 秒 (日本時間) | |||
45 | 11e6 | 400 / 4061 | Youcef Lemsafer | November 24, 2014 05:12:17 UTC 2014 年 11 月 24 日 (月) 14 時 12 分 17 秒 (日本時間) |
name 名前 | Warut Roonguthai |
---|---|
date 日付 | March 13, 2013 14:37:53 UTC 2013 年 3 月 13 日 (水) 23 時 37 分 53 秒 (日本時間) |
composite number 合成数 | 229197007305943411163768048105233268572844208265094412625248534027524856944407559776164281271695117943286365613467299314176203309841719129061031789023808590019865046104442528223753<180> |
prime factors 素因数 | 64747687539289377432369013<26> |
composite cofactor 合成数の残り | 3539848541569379844811101425644061440069317003583060423352325560929576602872524213961062257178899561340601017369598455129225774445810805338715292899094981<154> |
factorization results 素因数分解の結果 | Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2950207672 Step 1 took 4805ms Step 2 took 3416ms ********** Factor found in step 2: 64747687539289377432369013 Found probable prime factor of 26 digits: 64747687539289377432369013 Composite cofactor 3539848541569379844811101425644061440069317003583060423352325560929576602872524213961062257178899561340601017369598455129225774445810805338715292899094981 has 154 digits |
software ソフトウェア | GMP-ECM 6.3 |
name 名前 | Bob Backstrom |
---|---|
date 日付 | October 18, 2021 03:50:51 UTC 2021 年 10 月 18 日 (月) 12 時 50 分 51 秒 (日本時間) |
composite number 合成数 | 3539848541569379844811101425644061440069317003583060423352325560929576602872524213961062257178899561340601017369598455129225774445810805338715292899094981<154> |
prime factors 素因数 | 6633230394390079276939583513744736030156218983<46> 533653790250242973872229182245614566607446833059050241976292840626268232247925427353186269598809643025278707<108> |
factorization results 素因数分解の結果 | # # N = 11x10^209+61 = 12(208)9 # n: 3539848541569379844811101425644061440069317003583060423352325560929576602872524213961062257178899561340601017369598455129225774445810805338715292899094981 m: 500000000000000000000000000000000000000000 deg: 5 c5: 176 c0: 305 skew: 1.12 # Murphy_E = 4.843e-12 type: snfs lss: 1 rlim: 23000000 alim: 23000000 lpbr: 29 lpba: 29 mfbr: 57 mfba: 57 rlambda: 2.6 alambda: 2.6 GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 3539848541569379844811101425644061440069317003583060423352325560929576602872524213961062257178899561340601017369598455129225774445810805338715292899094981 (154 digits) Using B1=41230000, B2=192394462276, polynomial Dickson(12), sigma=1:4245051950 Step 1 took 84751ms Step 2 took 27321ms ********** Factor found in step 2: 6633230394390079276939583513744736030156218983 Found prime factor of 46 digits: 6633230394390079276939583513744736030156218983 Prime cofactor 533653790250242973872229182245614566607446833059050241976292840626268232247925427353186269598809643025278707 has 108 digits |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1418 | 118 | Makoto Kamada | March 13, 2013 14:00:00 UTC 2013 年 3 月 13 日 (水) 23 時 0 分 0 秒 (日本時間) |
1300 | Warut Roonguthai | March 16, 2013 06:27:45 UTC 2013 年 3 月 16 日 (土) 15 時 27 分 45 秒 (日本時間) | |||
40 | 3e6 | 3400 | Warut Roonguthai | March 16, 2013 06:27:45 UTC 2013 年 3 月 16 日 (土) 15 時 27 分 45 秒 (日本時間) | |
45 | 11e6 | 300 / 3663 | Serge Batalov | May 27, 2014 00:29:59 UTC 2014 年 5 月 27 日 (火) 9 時 29 分 59 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1418 | 118 | Makoto Kamada | March 13, 2013 14:00:00 UTC 2013 年 3 月 13 日 (水) 23 時 0 分 0 秒 (日本時間) |
1300 | Warut Roonguthai | March 16, 2013 15:54:26 UTC 2013 年 3 月 17 日 (日) 0 時 54 分 26 秒 (日本時間) | |||
40 | 3e6 | 1600 | 300 | Serge Batalov | January 9, 2014 04:38:48 UTC 2014 年 1 月 9 日 (木) 13 時 38 分 48 秒 (日本時間) |
1300 | Serge Batalov | May 26, 2014 18:01:28 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 28 秒 (日本時間) | |||
45 | 11e6 | 400 / 4061 | Youcef Lemsafer | November 24, 2014 05:13:03 UTC 2014 年 11 月 24 日 (月) 14 時 13 分 3 秒 (日本時間) |
name 名前 | Serge Batalov |
---|---|
date 日付 | May 19, 2014 02:27:44 UTC 2014 年 5 月 19 日 (月) 11 時 27 分 44 秒 (日本時間) |
composite number 合成数 | 5553299831823263614877201514231677385405989980961648305514618903266216886139796899538211240141550298746397630314244596321147413778728623972419789392606031913126498057071397419186329<181> |
prime factors 素因数 | 46403409386644382526491978807405211619<38> |
composite cofactor 合成数の残り | 119674392576455578789923359777233391347690259700905916029061928604580141911040555401816864932651089829071580988388785300423604681053382560491091<144> |
factorization results 素因数分解の結果 | Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=1794245027 Step 1 took 50823ms Step 2 took 24408ms ********** Factor found in step 2: 46403409386644382526491978807405211619 Found probable prime factor of 38 digits: 46403409386644382526491978807405211619 Composite cofactor |
name 名前 | Serge Batalov |
---|---|
date 日付 | May 24, 2014 19:11:59 UTC 2014 年 5 月 25 日 (日) 4 時 11 分 59 秒 (日本時間) |
composite number 合成数 | 119674392576455578789923359777233391347690259700905916029061928604580141911040555401816864932651089829071580988388785300423604681053382560491091<144> |
prime factors 素因数 | 363961856038876751682761150114377473337<39> 328810260170979301618112719587644411544408834560565092754171571219527646546530099786381502389259833764843<105> |
factorization results 素因数分解の結果 | Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=529766247 Step 1 took 36014ms Step 2 took 22032ms ********** Factor found in step 2: 363961856038876751682761150114377473337 Found probable prime factor of 39 digits: 363961856038876751682761150114377473337 Probable prime cofactor |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1418 | 118 | Makoto Kamada | March 13, 2013 14:00:00 UTC 2013 年 3 月 13 日 (水) 23 時 0 分 0 秒 (日本時間) |
1300 | Warut Roonguthai | March 16, 2013 15:54:33 UTC 2013 年 3 月 17 日 (日) 0 時 54 分 33 秒 (日本時間) | |||
40 | 3e6 | 300 | Serge Batalov | January 9, 2014 04:38:49 UTC 2014 年 1 月 9 日 (木) 13 時 38 分 49 秒 (日本時間) | |
45 | 11e6 | 1800 / 4349 | Serge Batalov | May 24, 2014 17:35:46 UTC 2014 年 5 月 25 日 (日) 2 時 35 分 46 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1418 | 118 | Makoto Kamada | March 13, 2013 14:00:00 UTC 2013 年 3 月 13 日 (水) 23 時 0 分 0 秒 (日本時間) |
1300 | Warut Roonguthai | March 16, 2013 15:54:44 UTC 2013 年 3 月 17 日 (日) 0 時 54 分 44 秒 (日本時間) | |||
40 | 3e6 | 1600 | 300 | Serge Batalov | January 9, 2014 04:38:49 UTC 2014 年 1 月 9 日 (木) 13 時 38 分 49 秒 (日本時間) |
1300 | Serge Batalov | May 26, 2014 18:01:29 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 29 秒 (日本時間) | |||
45 | 11e6 | 128 / 4061 | Youcef Lemsafer | November 14, 2014 08:03:29 UTC 2014 年 11 月 14 日 (金) 17 時 3 分 29 秒 (日本時間) |
name 名前 | Warut Roonguthai |
---|---|
date 日付 | March 13, 2013 15:28:46 UTC 2013 年 3 月 14 日 (木) 0 時 28 分 46 秒 (日本時間) |
composite number 合成数 | 9047595084098125497322639908271392652158368962423384173790769086299787710629019232275698382650342958152872779107815666695235754148532688830739227859994181054370394054999897787726889658588894560628121<199> |
prime factors 素因数 | 7303871457222653518183135330801<31> |
composite cofactor 合成数の残り | 1238739637887676445020169481548016755779474353734612372793544953368405578775144699619814134610942412922328686198719890989434334216118220908120784535647658263060276641321<169> |
factorization results 素因数分解の結果 | Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2934490434 Step 1 took 12121ms Step 2 took 7051ms ********** Factor found in step 2: 7303871457222653518183135330801 Found probable prime factor of 31 digits: 7303871457222653518183135330801 Composite cofactor 1238739637887676445020169481548016755779474353734612372793544953368405578775144699619814134610942412922328686198719890989434334216118220908120784535647658263060276641321 has 169 digits |
software ソフトウェア | GMP-ECM 6.3 |
name 名前 | Cyp |
---|---|
date 日付 | January 11, 2014 09:13:09 UTC 2014 年 1 月 11 日 (土) 18 時 13 分 9 秒 (日本時間) |
composite number 合成数 | 1238739637887676445020169481548016755779474353734612372793544953368405578775144699619814134610942412922328686198719890989434334216118220908120784535647658263060276641321<169> |
prime factors 素因数 | 200301998825217499484618742783535624079<39> 6184359842402742682374477975562665104453449208946685970706941551787161210149023164908742159233670498697823556178581290422053542599<130> |
factorization results 素因数分解の結果 | Run 37 out of 40: Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=4243291190 Step 1 took 196859ms Step 2 took 53117ms ********** Factor found in step 2: 200301998825217499484618742783535624079 Found probable prime factor of 39 digits: 200301998825217499484618742783535624079 Probable prime cofactor 6184359842402742682374477975562665104453449208946685970706941551787161210149023164908742159233670498697823556178581290422053542599 has 130 digits |
software ソフトウェア | GMP-ECM 6.4.4 |
execution environment 実行環境 | Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1418 | 118 | Makoto Kamada | March 13, 2013 14:00:00 UTC 2013 年 3 月 13 日 (水) 23 時 0 分 0 秒 (日本時間) |
1300 | Warut Roonguthai | March 16, 2013 15:54:51 UTC 2013 年 3 月 17 日 (日) 0 時 54 分 51 秒 (日本時間) | |||
40 | 3e6 | 300 / 1610 | Serge Batalov | January 9, 2014 04:38:50 UTC 2014 年 1 月 9 日 (木) 13 時 38 分 50 秒 (日本時間) | |
45 | 11e6 | 0 / 4219 | - | - | |
50 | 43e6 | 37 / 7534 | Cyp | January 11, 2014 09:13:08 UTC 2014 年 1 月 11 日 (土) 18 時 13 分 8 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1418 | 118 | Makoto Kamada | March 13, 2013 14:00:00 UTC 2013 年 3 月 13 日 (水) 23 時 0 分 0 秒 (日本時間) |
1300 | Warut Roonguthai | March 16, 2013 15:55:21 UTC 2013 年 3 月 17 日 (日) 0 時 55 分 21 秒 (日本時間) | |||
40 | 3e6 | 1600 | 300 | Serge Batalov | January 9, 2014 04:38:51 UTC 2014 年 1 月 9 日 (木) 13 時 38 分 51 秒 (日本時間) |
1300 | Serge Batalov | May 26, 2014 18:01:29 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 29 秒 (日本時間) | |||
45 | 11e6 | 0 / 3921 | - | - | |
50 | 43e6 | 40 / 7485 | Cyp | January 22, 2014 22:25:46 UTC 2014 年 1 月 23 日 (木) 7 時 25 分 46 秒 (日本時間) |
name 名前 | Warut Roonguthai |
---|---|
date 日付 | March 14, 2013 04:34:48 UTC 2013 年 3 月 14 日 (木) 13 時 34 分 48 秒 (日本時間) |
composite number 合成数 | 14732441150921750100869683232001809631103202670104993277367612276962155574472848797906825747106888865916252461886306752719362747997022968676862905780377186818096040482180010775131824064751<188> |
prime factors 素因数 | 21949294603619814862687724128163554189<38> |
composite cofactor 合成数の残り | 671203399333485553566528218101020814596911047383638478881717392162208493735559825489349922297714628343733353747728121085452981208503034049079898628459<150> |
factorization results 素因数分解の結果 | Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1811231371 Step 1 took 9282ms Step 2 took 6099ms ********** Factor found in step 2: 21949294603619814862687724128163554189 Found probable prime factor of 38 digits: 21949294603619814862687724128163554189 Composite cofactor 671203399333485553566528218101020814596911047383638478881717392162208493735559825489349922297714628343733353747728121085452981208503034049079898628459 has 150 digits |
software ソフトウェア | GMP-ECM 6.3 |
name 名前 | Warut Roonguthai |
---|---|
date 日付 | March 16, 2013 01:43:49 UTC 2013 年 3 月 16 日 (土) 10 時 43 分 49 秒 (日本時間) |
composite number 合成数 | 671203399333485553566528218101020814596911047383638478881717392162208493735559825489349922297714628343733353747728121085452981208503034049079898628459<150> |
prime factors 素因数 | 136766132440818021994294998502282446401<39> 4907672589366605982000872962720567870088541896723976924424628560187426732119052412171439028376483142193789170859<112> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3318468621 Step 1 took 19578ms Step 2 took 12387ms ********** Factor found in step 2: 136766132440818021994294998502282446401 Found probable prime factor of 39 digits: 136766132440818021994294998502282446401 Probable prime cofactor 4907672589366605982000872962720567870088541896723976924424628560187426732119052412171439028376483142193789170859 has 112 digits |
software ソフトウェア | GMP-ECM 6.3 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 0 | - | - | |
35 | 1e6 | 118 / 904 | Makoto Kamada | March 13, 2013 14:00:00 UTC 2013 年 3 月 13 日 (水) 23 時 0 分 0 秒 (日本時間) |
name 名前 | Warut Roonguthai |
---|---|
date 日付 | March 15, 2013 03:49:49 UTC 2013 年 3 月 15 日 (金) 12 時 49 分 49 秒 (日本時間) |
composite number 合成数 | 192427625379677710174421653494093483229962540800928560066313262582565864438424148293228691027911604118387550596695426313346223229<129> |
prime factors 素因数 | 21870041316590894078498951913828391085973242899<47> 8798685955554169138941959671649647348723383067502994116997261976802531093309562671<82> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3489794505 Step 1 took 16177ms Step 2 took 10920ms ********** Factor found in step 2: 21870041316590894078498951913828391085973242899 Found probable prime factor of 47 digits: 21870041316590894078498951913828391085973242899 Probable prime cofactor 8798685955554169138941959671649647348723383067502994116997261976802531093309562671 has 82 digits |
software ソフトウェア | GMP-ECM 6.3 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 0 | - | - | |
35 | 1e6 | 118 / 904 | Makoto Kamada | March 13, 2013 14:00:00 UTC 2013 年 3 月 13 日 (水) 23 時 0 分 0 秒 (日本時間) |
name 名前 | Serge Batalov |
---|---|
date 日付 | November 8, 2013 18:04:26 UTC 2013 年 11 月 9 日 (土) 3 時 4 分 26 秒 (日本時間) |
composite number 合成数 | 102707749766573295985060690943043884220354808590102707749766573295985060690943043884220354808590102707749766573295985060690943043884220354808590102707749766573295985060690943043884220354808590102707749766573295985060691<219> |
prime factors 素因数 | 30899051954865282119867104035787353163490059<44> |
composite cofactor 合成数の残り | 3323977380166876229045340939289720410045631820573510502823292976864102171914900334319727484180135824340150996095098314969251751203334163319682246957906049671878599857056204249<175> |
factorization results 素因数分解の結果 | Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1087098641 Step 1 took 66968ms Step 2 took 20887ms ********** Factor found in step 2: 30899051954865282119867104035787353163490059 Found probable prime factor of 44 digits: 30899051954865282119867104035787353163490059 Composite cofactor |
name 名前 | Serge Batalov |
---|---|
date 日付 | May 27, 2014 01:18:42 UTC 2014 年 5 月 27 日 (火) 10 時 18 分 42 秒 (日本時間) |
composite number 合成数 | 3323977380166876229045340939289720410045631820573510502823292976864102171914900334319727484180135824340150996095098314969251751203334163319682246957906049671878599857056204249<175> |
prime factors 素因数 | 88159482025362964272952814364092802446939<41> |
composite cofactor 合成数の残り | 37704139178251835623590655257654318325346806481205524787713199624261730268115798148897291978515201621076546804254197379910898287555291<134> |
factorization results 素因数分解の結果 | Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=4056467977 Step 1 took 51180ms Step 2 took 24477ms ********** Factor found in step 2: 88159482025362964272952814364092802446939 Found probable prime factor of 41 digits: 88159482025362964272952814364092802446939 Composite cofactor |
name 名前 | Erik Branger |
---|---|
date 日付 | August 15, 2014 06:53:49 UTC 2014 年 8 月 15 日 (金) 15 時 53 分 49 秒 (日本時間) |
composite number 合成数 | 37704139178251835623590655257654318325346806481205524787713199624261730268115798148897291978515201621076546804254197379910898287555291<134> |
prime factors 素因数 | 15619027230780187754907680627244202222581368965588727<53> 2413987671648900249831505060459913959472541971106083939424500296783390869065999933<82> |
factorization results 素因数分解の結果 | Number: 12229_220 N = 37704139178251835623590655257654318325346806481205524787713199624261730268115798148897291978515201621076546804254197379910898287555291 (134 digits) Divisors found: r1=15619027230780187754907680627244202222581368965588727 (pp53) r2=2413987671648900249831505060459913959472541971106083939424500296783390869065999933 (pp82) Version: Msieve v. 1.51 (SVN 845) Total time: 143.01 hours. Factorization parameters were as follows: # Murphy_E = 5.134e-11, selected by Erik Branger # expecting poly E from 5.04e-011 to > 5.80e-011 n: 37704139178251835623590655257654318325346806481205524787713199624261730268115798148897291978515201621076546804254197379910898287555291 Y0: -93700807238055667907343521 Y1: 194093139009517 c0: -1209914990523613168972401706719120 c1: 5546503287945933720863514156 c2: -4597865264280565378885 c3: -7627322266087862 c4: 10821750834 c5: 5220 skew: 950998.25 type: gnfs # selected mechanically rlim: 12200000 alim: 12200000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.6 alambda: 2.6 Factor base limits: 12200000/12200000 Large primes per side: 3 Large prime bits: 28/28 Sieved algebraic special-q in [0, 0) Total raw relations: 19871874 Relations: 3142338 relations Pruned matrix : 1841554 x 1841792 Polynomial selection time: 0.00 hours. Total sieving time: 139.19 hours. Total relation processing time: 0.14 hours. Matrix solve time: 3.37 hours. time per square root: 0.31 hours. Prototype def-par.txt line would be: gnfs,133,5,65,2000,1e-05,0.28,250,20,50000,3600,12200000,12200000,28,28,54,54,2.6,2.6,100000 total time: 143.01 hours. Intel64 Family 6 Model 58 Stepping 9, GenuineIntel Windows-7-6.1.7601-SP1 processors: 8, speed: 2.29GHz |
software ソフトウェア | GGNFS, Msieve |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1418 | 118 | Makoto Kamada | March 13, 2013 14:00:00 UTC 2013 年 3 月 13 日 (水) 23 時 0 分 0 秒 (日本時間) |
1300 | Warut Roonguthai | March 16, 2013 15:55:27 UTC 2013 年 3 月 17 日 (日) 0 時 55 分 27 秒 (日本時間) | |||
40 | 3e6 | 0 | - | - | |
45 | 11e6 | 1150 / 4415 | 850 | Serge Batalov | November 8, 2013 17:15:08 UTC 2013 年 11 月 9 日 (土) 2 時 15 分 8 秒 (日本時間) |
300 | Serge Batalov | May 27, 2014 00:30:00 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 0 秒 (日本時間) |
name 名前 | Warut Roonguthai |
---|---|
date 日付 | March 16, 2013 11:07:51 UTC 2013 年 3 月 16 日 (土) 20 時 7 分 51 秒 (日本時間) |
composite number 合成数 | 42973427408695682484033934997490954134821111482401436685238781650972074507583986819348877930250145300487558995694272430652618890426070040194175003992438203<155> |
prime factors 素因数 | 69050780675682412484435070820389293112888619<44> 10041010873080624648520899654065922027370901255941082941<56> 61980341173071537090506645094291119967772461545423713157<56> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=869323492 Step 1 took 25257ms Step 2 took 12885ms ********** Factor found in step 2: 69050780675682412484435070820389293112888619 Found probable prime factor of 44 digits: 69050780675682412484435070820389293112888619 Composite cofactor 622345279636058021954884346503211075761100942364579282592719437451088093019511506454268037285668065103929954737 has 111 digits N = 622345279636058021954884346503211075761100942364579282592719437451088093019511506454268037285668065103929954737 (111 digits) Divisors found: r1=10041010873080624648520899654065922027370901255941082941 (pp56) r2=61980341173071537090506645094291119967772461545423713157 (pp56) Version: Msieve v. 1.49 (SVN unknown) Total time: 3.86 hours. Factorization parameters were as follows: n: 622345279636058021954884346503211075761100942364579282592719437451088093019511506454268037285668065103929954737 Y0: -2572874857500576789703 Y1: 398853191639 c0: -42874649872710046382323856 c1: 13303658240680772722820 c2: -42194515609663047 c3: -53392188576478 c4: -81397064 c5: 5520 skew: 34730.14 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: 8340476 Relations: 570506 relations Pruned matrix : 349824 x 350049 Polynomial selection time: 0.00 hours. Total sieving time: 3.72 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.09 hours. time per square root: 0.02 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: 3.86 hours. Intel64 Family 6 Model 42 Stepping 7, GenuineIntel Windows-7-6.1.7601-SP1 processors: 8, speed: 2.19GHz |
software ソフトウェア | GMP-ECM 6.3 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 0 | - | - | |
35 | 1e6 | 118 / 904 | Makoto Kamada | March 13, 2013 14:00:00 UTC 2013 年 3 月 13 日 (水) 23 時 0 分 0 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1418 | 118 | Makoto Kamada | March 13, 2013 14:00:00 UTC 2013 年 3 月 13 日 (水) 23 時 0 分 0 秒 (日本時間) |
1300 | Warut Roonguthai | March 16, 2013 15:55:32 UTC 2013 年 3 月 17 日 (日) 0 時 55 分 32 秒 (日本時間) | |||
40 | 3e6 | 300 | Serge Batalov | January 9, 2014 04:38:52 UTC 2014 年 1 月 9 日 (木) 13 時 38 分 52 秒 (日本時間) | |
45 | 11e6 | 300 / 3682 | Serge Batalov | May 27, 2014 00:30:00 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 0 秒 (日本時間) | |
50 | 43e6 | 190 / 7466 | 40 | Cyp | January 11, 2014 06:33:04 UTC 2014 年 1 月 11 日 (土) 15 時 33 分 4 秒 (日本時間) |
150 | Cyp | February 10, 2014 09:24:55 UTC 2014 年 2 月 10 日 (月) 18 時 24 分 55 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1418 | 118 | Makoto Kamada | March 13, 2013 14:00:00 UTC 2013 年 3 月 13 日 (水) 23 時 0 分 0 秒 (日本時間) |
1300 | Warut Roonguthai | March 16, 2013 15:55:39 UTC 2013 年 3 月 17 日 (日) 0 時 55 分 39 秒 (日本時間) | |||
40 | 3e6 | 1600 | 300 | Serge Batalov | January 9, 2014 04:38:52 UTC 2014 年 1 月 9 日 (木) 13 時 38 分 52 秒 (日本時間) |
1300 | Serge Batalov | May 26, 2014 18:01:29 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 29 秒 (日本時間) | |||
45 | 11e6 | 0 / 3921 | - | - | |
50 | 43e6 | 40 / 7485 | Cyp | January 21, 2014 23:52:14 UTC 2014 年 1 月 22 日 (水) 8 時 52 分 14 秒 (日本時間) |
name 名前 | Serge Batalov |
---|---|
date 日付 | January 9, 2014 09:50:00 UTC 2014 年 1 月 9 日 (木) 18 時 50 分 0 秒 (日本時間) |
composite number 合成数 | 474276059942474713923598037661315532176864637093279945454784180997153255878865962504420291284443917004774831163531135249630322713294406820615237627939969611992250755368824615666548013445618728859<195> |
prime factors 素因数 | 18816082342208500844163907381370779<35> |
composite cofactor 合成数の残り | 25205887778167933415177297788085436215914922136308820677364774548795181179717250923020818282865623737249701729782108149344525725121496332951315232088662332907521<161> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1136670985 Step 1 took 19888ms ********** Factor found in step 1: 18816082342208500844163907381370779 Found probable prime factor of 35 digits: 18816082342208500844163907381370779 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1418 | 118 | Makoto Kamada | March 13, 2013 14:00:00 UTC 2013 年 3 月 13 日 (水) 23 時 0 分 0 秒 (日本時間) |
1300 | Warut Roonguthai | March 16, 2013 15:56:17 UTC 2013 年 3 月 17 日 (日) 0 時 56 分 17 秒 (日本時間) | |||
40 | 3e6 | 1600 | 300 | Serge Batalov | January 9, 2014 04:38:53 UTC 2014 年 1 月 9 日 (木) 13 時 38 分 53 秒 (日本時間) |
1300 | Serge Batalov | May 26, 2014 18:01:30 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 30 秒 (日本時間) | |||
45 | 11e6 | 256 | Youcef Lemsafer | November 14, 2014 04:17:17 UTC 2014 年 11 月 14 日 (金) 13 時 17 分 17 秒 (日本時間) | |
50 | 43e6 | 3888 / 7427 | ivelive | September 13, 2020 02:58:23 UTC 2020 年 9 月 13 日 (日) 11 時 58 分 23 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1418 | 118 | Makoto Kamada | March 13, 2013 14:00:00 UTC 2013 年 3 月 13 日 (水) 23 時 0 分 0 秒 (日本時間) |
1300 | Warut Roonguthai | March 16, 2013 15:56:23 UTC 2013 年 3 月 17 日 (日) 0 時 56 分 23 秒 (日本時間) | |||
40 | 3e6 | 1600 | 300 | Serge Batalov | January 9, 2014 04:38:54 UTC 2014 年 1 月 9 日 (木) 13 時 38 分 54 秒 (日本時間) |
1300 | Serge Batalov | May 26, 2014 18:01:30 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 30 秒 (日本時間) | |||
45 | 11e6 | 110 / 4061 | Youcef Lemsafer | November 5, 2014 22:24:30 UTC 2014 年 11 月 6 日 (木) 7 時 24 分 30 秒 (日本時間) |
name 名前 | Serge Batalov |
---|---|
date 日付 | May 19, 2014 00:04:29 UTC 2014 年 5 月 19 日 (月) 9 時 4 分 29 秒 (日本時間) |
composite number 合成数 | 9707773617556103434421307513650803899171643767817089748976686915304036532163301710982452911830652688225432505164487694194988444776924782265493554019298794399084414261593181404297<178> |
prime factors 素因数 | 10707075645131390685503210894035408945753<41> 906669004619419177773059260306770030352757664095263571655931387949999010224330223036709892230236945376887389524277937265009407343573820849<138> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3172121472 Step 1 took 13915ms Step 2 took 9672ms ********** Factor found in step 2: 10707075645131390685503210894035408945753 Found probable prime factor of 41 digits: 10707075645131390685503210894035408945753 Probable prime cofactor |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1418 | 118 | Makoto Kamada | March 13, 2013 14:00:00 UTC 2013 年 3 月 13 日 (水) 23 時 0 分 0 秒 (日本時間) |
1300 | Warut Roonguthai | March 16, 2013 15:56:29 UTC 2013 年 3 月 17 日 (日) 0 時 56 分 29 秒 (日本時間) | |||
40 | 3e6 | 300 / 1964 | Serge Batalov | January 9, 2014 04:38:55 UTC 2014 年 1 月 9 日 (木) 13 時 38 分 55 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1418 | 118 | Makoto Kamada | March 13, 2013 14:00:00 UTC 2013 年 3 月 13 日 (水) 23 時 0 分 0 秒 (日本時間) |
1300 | Warut Roonguthai | March 16, 2013 15:56:35 UTC 2013 年 3 月 17 日 (日) 0 時 56 分 35 秒 (日本時間) | |||
40 | 3e6 | 1600 | 300 | Serge Batalov | January 9, 2014 04:38:56 UTC 2014 年 1 月 9 日 (木) 13 時 38 分 56 秒 (日本時間) |
1300 | Serge Batalov | May 26, 2014 18:01:30 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 30 秒 (日本時間) | |||
45 | 11e6 | 160 / 4061 | Youcef Lemsafer | November 5, 2014 05:12:46 UTC 2014 年 11 月 5 日 (水) 14 時 12 分 46 秒 (日本時間) |
name 名前 | Serge Batalov |
---|---|
date 日付 | January 9, 2014 17:22:44 UTC 2014 年 1 月 10 日 (金) 2 時 22 分 44 秒 (日本時間) |
composite number 合成数 | 183626087430061760465083520747873104696045611805715472674585174671208256986781197161894597046776498027157567418695053773567278140954684348356208623385076402564761781152031869924241<180> |
prime factors 素因数 | 984018125959009835785551368761449104604415087<45> 186608440013340639484350759090207704235233759915205397888600016785198707671002657215235074781027845698124890963868776672477891376236543<135> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3558382061 Step 1 took 13780ms Step 2 took 5153ms ********** Factor found in step 2: 984018125959009835785551368761449104604415087 Found probable prime factor of 45 digits: 984018125959009835785551368761449104604415087 Probable prime cofactor |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1418 | 118 | Makoto Kamada | March 13, 2013 14:00:00 UTC 2013 年 3 月 13 日 (水) 23 時 0 分 0 秒 (日本時間) |
1300 | Warut Roonguthai | March 16, 2013 15:56:51 UTC 2013 年 3 月 17 日 (日) 0 時 56 分 51 秒 (日本時間) | |||
40 | 3e6 | 300 / 1964 | Serge Batalov | January 9, 2014 04:38:57 UTC 2014 年 1 月 9 日 (木) 13 時 38 分 57 秒 (日本時間) |
name 名前 | Warut Roonguthai |
---|---|
date 日付 | March 13, 2013 17:57:13 UTC 2013 年 3 月 14 日 (木) 2 時 57 分 13 秒 (日本時間) |
composite number 合成数 | 1222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229<235> |
prime factors 素因数 | 12249487083111236411720736461306025149<38> |
composite cofactor 合成数の残り | 99777420387449486484557558107969396426793680439764053864148325641145835836655093553182246704546939299964927426943241355473276844513406248931019121461336690141983255071137230632775067834001817940921<197> |
factorization results 素因数分解の結果 | Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4083575183 Step 1 took 15881ms Step 2 took 8580ms ********** Factor found in step 2: 12249487083111236411720736461306025149 Found probable prime factor of 38 digits: 12249487083111236411720736461306025149 Composite cofactor 99777420387449486484557558107969396426793680439764053864148325641145835836655093553182246704546939299964927426943241355473276844513406248931019121461336690141983255071137230632775067834001817940921 has 197 digits |
software ソフトウェア | GMP-ECM 6.3 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1418 | 118 | Makoto Kamada | March 13, 2013 14:00:00 UTC 2013 年 3 月 13 日 (水) 23 時 0 分 0 秒 (日本時間) |
1300 | Warut Roonguthai | March 16, 2013 15:56:59 UTC 2013 年 3 月 17 日 (日) 0 時 56 分 59 秒 (日本時間) | |||
40 | 3e6 | 1600 | 300 | Serge Batalov | January 9, 2014 04:38:58 UTC 2014 年 1 月 9 日 (木) 13 時 38 分 58 秒 (日本時間) |
1300 | Serge Batalov | May 26, 2014 18:01:31 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 31 秒 (日本時間) | |||
45 | 11e6 | 226 / 4061 | Youcef Lemsafer | November 4, 2014 17:58:27 UTC 2014 年 11 月 5 日 (水) 2 時 58 分 27 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1418 | 118 | Makoto Kamada | March 13, 2013 14:00:00 UTC 2013 年 3 月 13 日 (水) 23 時 0 分 0 秒 (日本時間) |
1300 | Warut Roonguthai | March 16, 2013 15:57:05 UTC 2013 年 3 月 17 日 (日) 0 時 57 分 5 秒 (日本時間) | |||
40 | 3e6 | 300 | Serge Batalov | January 9, 2014 04:38:58 UTC 2014 年 1 月 9 日 (木) 13 時 38 分 58 秒 (日本時間) | |
45 | 11e6 | 672 / 4208 | 372 | Cyp | February 19, 2014 13:53:36 UTC 2014 年 2 月 19 日 (水) 22 時 53 分 36 秒 (日本時間) |
300 | Serge Batalov | May 27, 2014 00:30:01 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 1 秒 (日本時間) | |||
50 | 43e6 | 40 / 7383 | Cyp | February 2, 2014 11:02:55 UTC 2014 年 2 月 2 日 (日) 20 時 2 分 55 秒 (日本時間) |
name 名前 | Seth Troisi |
---|---|
date 日付 | December 6, 2023 19:11:07 UTC 2023 年 12 月 7 日 (木) 4 時 11 分 7 秒 (日本時間) |
composite number 合成数 | 982262175386303625715119492756782807387017894200858602706301299778168823182497037528157874295786538346560401498245369658323098117289167954404886437154782332424271576720313647847959126267403232297311525327043<207> |
prime factors 素因数 | 229546838843595702378553145427825824319886064531<48> |
composite cofactor 合成数の残り | 4279136146394849327977679905159696050123968164736397852549218768421319534152619764320567169608010786082920163870623082707278198803757002878816718004999243559953<160> |
factorization results 素因数分解の結果 | vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv WorkUnit(uid=604, n='982262175386303625715119492756782807387017894200858602706301299778168823182497037528157874295786538346560401498245369658323098117289167954404886437154782332424271576720313647847959126267403232297311525327043', params=(), B1='10000000000', B2='8e15', resume_line='METHOD=P-1; B1=10000000000; ' 'N=982262175386303625715119492756782807387017894200858602706301299778168823182497037528157874295786538346560401498245369658323098117289167954404886437154782332424271576720313647847959126267403232297311525327043; ' 'X=0x5dfd96a9fa3dd5b0fceb0345e0b6f15a7a66b71823919e3332ae465cfc962159c8fcf3f1ee917cc5ff8fb2bb6c1887e09fb2bd45d3c8da28392348df0317cdf3059b927f7e17785c47890ef5c39c8df1cc4a97115342; ' 'CHECKSUM=1201167970; PROGRAM=GMP-ECM 7.0.6-dev; X0=0x3; ' 'WHO=five@five; TIME=Wed Nov 22 12:58:40 2023;\n') ------------------------------------ result ------------------------------------ EcmOutput(factors=(229546838843595702378553145427825824319886064531,), exit_status=6, resume_line='', using='Using B1=10000000000-10000000000, B2=8344913552924776, ' 'polynomial x^1', version='GMP-ECM 7.0.6-dev [configured with GMP 6.3.0, ' '--enable-asm-redc, --enable-assert] [ECM]', output='OMMITTED<1928>', timings=(('0',), ('556597',)), runtime=0) ------------------------------------ output ------------------------------------ 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 Wed Nov 22 12:58:40 2023 Input number is 982262175386303625715119492756782807387017894200858602706301299778168823182497037528157874295786538346560401498245369658323098117289167954404886437154782332424271576720313647847959126267403232297311525327043 (207 digits) Using mpz_mod Using lmax = 33554432 with NTT which takes about 9984MB of memory Using B1=10000000000-10000000000, B2=8344913552924776, polynomial x^1 P = 240705465, l = 33554432, s_1 = 16220160, k = s_2 = 5, m_1 = 16 Probability of finding a factor of n digits (assuming one exists): 20 25 30 35 40 45 50 55 60 65 0.81 0.55 0.3 0.14 0.055 0.019 0.0063 0.0018 0.0005 0.00013 Step 1 took 0ms Computing F from factored S_1 took 94172ms Computing h took 11413ms Computing DCT-I of h took 27748ms Multi-point evaluation 1 of 5: Computing g_i took 37066ms Computing g*h took 54930ms Computing gcd of coefficients and N took 13415ms Multi-point evaluation 2 of 5: Computing g_i took 36724ms Computing g*h took 54685ms Computing gcd of coefficients and N took 13509ms Multi-point evaluation 3 of 5: Computing g_i took 37200ms Computing g*h took 54740ms Computing gcd of coefficients and N took 13456ms Multi-point evaluation 4 of 5: Computing g_i took 37307ms Computing g*h took 55028ms Computing gcd of coefficients and N took 13799ms Step 2 took 556597ms ********** Factor found in step 2: 229546838843595702378553145427825824319886064531 Found prime factor of 48 digits: 229546838843595702378553145427825824319886064531 Composite cofactor 4279136146394849327977679905159696050123968164736397852549218768421319534152619764320567169608010786082920163870623082707278198803757002878816718004999243559953 has 160 digits Peak memory usage: 10392MB ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ |
software ソフトウェア | gmp-ecm + ecm-db |
execution environment 実行環境 | 1080 TI for stage 1 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1418 | 118 | Makoto Kamada | March 13, 2013 14:00:00 UTC 2013 年 3 月 13 日 (水) 23 時 0 分 0 秒 (日本時間) |
1300 | Warut Roonguthai | March 16, 2013 15:57:19 UTC 2013 年 3 月 17 日 (日) 0 時 57 分 19 秒 (日本時間) | |||
40 | 3e6 | 1600 | 300 | Serge Batalov | January 9, 2014 04:38:59 UTC 2014 年 1 月 9 日 (木) 13 時 38 分 59 秒 (日本時間) |
1300 | Serge Batalov | May 26, 2014 18:01:31 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 31 秒 (日本時間) | |||
45 | 11e6 | 4689 | 209 | Youcef Lemsafer | November 4, 2014 09:11:56 UTC 2014 年 11 月 4 日 (火) 18 時 11 分 56 秒 (日本時間) |
4480 | Ignacio Santos | December 9, 2023 15:14:51 UTC 2023 年 12 月 10 日 (日) 0 時 14 分 51 秒 (日本時間) |
name 名前 | Serge Batalov |
---|---|
date 日付 | May 19, 2014 02:01:37 UTC 2014 年 5 月 19 日 (月) 11 時 1 分 37 秒 (日本時間) |
composite number 合成数 | 1033726272568287334340836353241094135177793019869500846487765191227983275416380078711340503042071150583370847804786127379986969149841294582661242628392646019073583583541806745064664124895944198082272282299686085822316332657<223> |
prime factors 素因数 | 226075965859349870003591838304170831757<39> |
composite cofactor 合成数の残り | 4572473100530315860003910207175363132110005888179824785136332792902140422723704524425432750222650816900015935497085691474871065778590816836584293390502895897542005155729447342724003701<184> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1385446605 Step 1 took 20043ms Step 2 took 14397ms ********** Factor found in step 2: 226075965859349870003591838304170831757 Found probable prime factor of 39 digits: 226075965859349870003591838304170831757 Composite cofactor |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1418 | 118 | Makoto Kamada | March 13, 2013 14:00:00 UTC 2013 年 3 月 13 日 (水) 23 時 0 分 0 秒 (日本時間) |
1300 | Warut Roonguthai | March 16, 2013 15:57:25 UTC 2013 年 3 月 17 日 (日) 0 時 57 分 25 秒 (日本時間) | |||
40 | 3e6 | 1600 | 300 | Serge Batalov | January 9, 2014 04:39:00 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 0 秒 (日本時間) |
1300 | Serge Batalov | May 26, 2014 18:01:32 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 32 秒 (日本時間) | |||
45 | 11e6 | 400 / 4061 | Youcef Lemsafer | November 24, 2014 05:13:58 UTC 2014 年 11 月 24 日 (月) 14 時 13 分 58 秒 (日本時間) |
name 名前 | Warut Roonguthai |
---|---|
date 日付 | March 13, 2013 18:53:31 UTC 2013 年 3 月 14 日 (木) 3 時 53 分 31 秒 (日本時間) |
composite number 合成数 | 383127206733367829366022669815824140735164055495268846728066210255804217272026157514777074972599378374124908786342561956722600703330353373406789508720104378337286785067568215788102283062546523437<195> |
prime factors 素因数 | 34350835187271798397514278679<29> 11153359289363946380727414106881989063879205954328335842316027141562267408234542102944030900544478448863005657850567468617153957588604679764032570427215573577405120603<167> |
factorization results 素因数分解の結果 | Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2829913336 Step 1 took 9688ms Step 2 took 5803ms ********** Factor found in step 2: 34350835187271798397514278679 Found probable prime factor of 29 digits: 34350835187271798397514278679 Probable prime cofactor 11153359289363946380727414106881989063879205954328335842316027141562267408234542102944030900544478448863005657850567468617153957588604679764032570427215573577405120603 has 167 digits |
software ソフトウェア | GMP-ECM 6.3 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 0 | - | - | |
35 | 1e6 | 118 / 904 | Makoto Kamada | March 13, 2013 14:00:00 UTC 2013 年 3 月 13 日 (水) 23 時 0 分 0 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1418 | 118 | Makoto Kamada | March 13, 2013 14:00:00 UTC 2013 年 3 月 13 日 (水) 23 時 0 分 0 秒 (日本時間) |
1300 | Warut Roonguthai | March 16, 2013 15:57:43 UTC 2013 年 3 月 17 日 (日) 0 時 57 分 43 秒 (日本時間) | |||
40 | 3e6 | 0 | - | - | |
45 | 11e6 | 2450 | 1600 | Dmitry Domanov | March 19, 2013 11:13:10 UTC 2013 年 3 月 19 日 (火) 20 時 13 分 10 秒 (日本時間) |
850 | Serge Batalov | November 8, 2013 17:17:38 UTC 2013 年 11 月 9 日 (土) 2 時 17 分 38 秒 (日本時間) | |||
50 | 43e6 | 800 / 6995 | 500 | Dmitry Domanov | May 8, 2013 16:23:19 UTC 2013 年 5 月 9 日 (木) 1 時 23 分 19 秒 (日本時間) |
300 | Dmitry Domanov | May 24, 2013 15:48:25 UTC 2013 年 5 月 25 日 (土) 0 時 48 分 25 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1418 | 118 | Makoto Kamada | March 13, 2013 14:00:00 UTC 2013 年 3 月 13 日 (水) 23 時 0 分 0 秒 (日本時間) |
1300 | Warut Roonguthai | March 16, 2013 15:57:48 UTC 2013 年 3 月 17 日 (日) 0 時 57 分 48 秒 (日本時間) | |||
40 | 3e6 | 1600 | 300 | Serge Batalov | January 9, 2014 04:39:01 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 1 秒 (日本時間) |
1300 | Serge Batalov | May 26, 2014 18:01:32 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 32 秒 (日本時間) | |||
45 | 11e6 | 400 / 4061 | Youcef Lemsafer | November 24, 2014 05:14:44 UTC 2014 年 11 月 24 日 (月) 14 時 14 分 44 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1418 | 118 | Makoto Kamada | March 13, 2013 14:00:00 UTC 2013 年 3 月 13 日 (水) 23 時 0 分 0 秒 (日本時間) |
1300 | Warut Roonguthai | March 16, 2013 15:57:56 UTC 2013 年 3 月 17 日 (日) 0 時 57 分 56 秒 (日本時間) | |||
40 | 3e6 | 1600 | 300 | Serge Batalov | January 9, 2014 04:39:01 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 1 秒 (日本時間) |
1300 | Serge Batalov | May 26, 2014 18:01:32 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 32 秒 (日本時間) | |||
45 | 11e6 | 400 / 4061 | Youcef Lemsafer | November 24, 2014 05:15:25 UTC 2014 年 11 月 24 日 (月) 14 時 15 分 25 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1418 | 118 | Makoto Kamada | March 13, 2013 14:00:00 UTC 2013 年 3 月 13 日 (水) 23 時 0 分 0 秒 (日本時間) |
1300 | Warut Roonguthai | March 16, 2013 15:58:19 UTC 2013 年 3 月 17 日 (日) 0 時 58 分 19 秒 (日本時間) | |||
40 | 3e6 | 1600 | 300 | Serge Batalov | January 9, 2014 04:39:02 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 2 秒 (日本時間) |
1300 | Serge Batalov | May 26, 2014 18:01:32 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 32 秒 (日本時間) | |||
45 | 11e6 | 120 / 4061 | Youcef Lemsafer | October 29, 2014 21:35:23 UTC 2014 年 10 月 30 日 (木) 6 時 35 分 23 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 600 | Dmitry Domanov | March 25, 2016 07:26:58 UTC 2016 年 3 月 25 日 (金) 16 時 26 分 58 秒 (日本時間) | |
45 | 11e6 | 2000 / 4346 | 1000 | Lionel Debroux | June 12, 2020 11:56:41 UTC 2020 年 6 月 12 日 (金) 20 時 56 分 41 秒 (日本時間) |
1000 | Lionel Debroux | July 11, 2020 17:51:24 UTC 2020 年 7 月 12 日 (日) 2 時 51 分 24 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 904 | Ignacio Santos | November 13, 2015 16:12:26 UTC 2015 年 11 月 14 日 (土) 1 時 12 分 26 秒 (日本時間) | |
40 | 3e6 | 600 | Dmitry Domanov | November 14, 2015 22:48:32 UTC 2015 年 11 月 15 日 (日) 7 時 48 分 32 秒 (日本時間) | |
45 | 11e6 | 600 | Dmitry Domanov | November 19, 2015 10:56:22 UTC 2015 年 11 月 19 日 (木) 19 時 56 分 22 秒 (日本時間) | |
50 | 43e6 | 3292 / 7391 | 1500 | Erik Branger | December 7, 2015 07:09:04 UTC 2015 年 12 月 7 日 (月) 16 時 9 分 4 秒 (日本時間) |
1792 | Dmitry Domanov | June 1, 2024 21:35:36 UTC 2024 年 6 月 2 日 (日) 6 時 35 分 36 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 600 | Dmitry Domanov | March 25, 2016 07:27:17 UTC 2016 年 3 月 25 日 (金) 16 時 27 分 17 秒 (日本時間) | |
45 | 11e6 | 1000 / 4346 | Lionel Debroux | July 19, 2020 16:45:45 UTC 2020 年 7 月 20 日 (月) 1 時 45 分 45 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 904 | Ignacio Santos | November 13, 2015 18:43:02 UTC 2015 年 11 月 14 日 (土) 3 時 43 分 2 秒 (日本時間) | |
40 | 3e6 | 600 | Dmitry Domanov | November 14, 2015 09:55:32 UTC 2015 年 11 月 14 日 (土) 18 時 55 分 32 秒 (日本時間) | |
45 | 11e6 | 800 / 4305 | Dmitry Domanov | February 5, 2016 14:34:21 UTC 2016 年 2 月 5 日 (金) 23 時 34 分 21 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 2400 | 600 | Dmitry Domanov | April 10, 2016 01:28:24 UTC 2016 年 4 月 10 日 (日) 10 時 28 分 24 秒 (日本時間) |
1800 | ebina | June 28, 2022 01:22:09 UTC 2022 年 6 月 28 日 (火) 10 時 22 分 9 秒 (日本時間) |
name 名前 | ebina |
---|---|
date 日付 | June 28, 2022 03:05:34 UTC 2022 年 6 月 28 日 (火) 12 時 5 分 34 秒 (日本時間) |
composite number 合成数 | 5754672254778753981570594685320291503461030453266467756878091921047690432445330925906136353878242358675093782524752158473315066013220585716087884011816263164746795558420036969891182665260181199141019135083373260564891146058323237547613<235> |
prime factors 素因数 | 646526895285452945039410749715878708913<39> |
composite cofactor 合成数の残り | 8900901566110355573094125168784761321850428943833240804951269860872978206950416117603347055275575072483772675663130621510015762571793110970107575969691663411528491113246238664520754758303766209901<196> |
factorization results 素因数分解の結果 | Z:\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:3848595101 3e6 GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM] Input number is 5754672254778753981570594685320291503461030453266467756878091921047690432445330925906136353878242358675093782524752158473315066013220585716087884011816263164746795558420036969891182665260181199141019135083373260564891146058323237547613 (235 digits) Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3848595101 Step 1 took 11015ms Step 2 took 7360ms ********** Factor found in step 2: 646526895285452945039410749715878708913 Found probable prime factor of 39 digits: 646526895285452945039410749715878708913 Composite cofactor 8900901566110355573094125168784761321850428943833240804951269860872978206950416117603347055275575072483772675663130621510015762571793110970107575969691663411528491113246238664520754758303766209901 has 196 digits |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 2393 | 600 | Dmitry Domanov | April 10, 2016 01:28:38 UTC 2016 年 4 月 10 日 (日) 10 時 28 分 38 秒 (日本時間) |
1793 | ebina | June 28, 2022 03:01:53 UTC 2022 年 6 月 28 日 (火) 12 時 1 分 53 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 2392 | 600 | Dmitry Domanov | April 10, 2016 01:28:50 UTC 2016 年 4 月 10 日 (日) 10 時 28 分 50 秒 (日本時間) |
1792 | Dmitry Domanov | September 28, 2023 22:56:11 UTC 2023 年 9 月 29 日 (金) 7 時 56 分 11 秒 (日本時間) |
name 名前 | anonymous |
---|---|
date 日付 | August 13, 2023 03:50:43 UTC 2023 年 8 月 13 日 (日) 12 時 50 分 43 秒 (日本時間) |
composite number 合成数 | 8283365295626947608481045454359445909479216678719814446464296801817415509505236541050524328459222709432913648006067494867285437483807055267028542380498286428669415655878722225006681939171531449484550979<202> |
prime factors 素因数 | 107247005543597621454320003628070503619<39> 77236331715197654221138768116651355261695456344584509300570015563280550352312733412256548824320970105436002655937372840978812819625165108340942237485098906078445441<164> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:17912363182962300174 Step 1 took 18610ms Step 2 took 6656ms ********** Factor found in step 2: 107247005543597621454320003628070503619 Found prime factor of 39 digits: 107247005543597621454320003628070503619 Prime cofactor 77236331715197654221138768116651355261695456344584509300570015563280550352312733412256548824320970105436002655937372840978812819625165108340942237485098906078445441 has 164 digits |
software ソフトウェア | GMP-ECM 7.0.5 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 600 / 2336 | Dmitry Domanov | April 10, 2016 01:29:04 UTC 2016 年 4 月 10 日 (日) 10 時 29 分 4 秒 (日本時間) |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | April 10, 2016 09:53:55 UTC 2016 年 4 月 10 日 (日) 18 時 53 分 55 秒 (日本時間) |
composite number 合成数 | 4423035433383291210513105320228300361381234279215259479012545237874404188456871884714471452641639455580972000599250364259480053554034019125037581469357749952389657495383878057817084177938637179751330433277664880059319864545758990781163587510524280823209<253> |
prime factors 素因数 | 133027516420315271720059731431<30> |
composite cofactor 合成数の残り | 33249026610466195251721529966684422418596750995884844306884261721067660766612080473540176833382963137733030887729999325138533964522972645620143240413937486166301794916820791432627987417279191644366738114501225910955259475439<224> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2237441135 Step 1 took 54194ms Step 2 took 16713ms ********** Factor found in step 2: 133027516420315271720059731431 Found probable prime factor of 30 digits: 133027516420315271720059731431 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 2392 | 600 | Dmitry Domanov | April 10, 2016 01:29:18 UTC 2016 年 4 月 10 日 (日) 10 時 29 分 18 秒 (日本時間) |
1792 | Dmitry Domanov | September 28, 2023 22:56:21 UTC 2023 年 9 月 29 日 (金) 7 時 56 分 21 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 2392 | 600 | Dmitry Domanov | April 10, 2016 01:29:30 UTC 2016 年 4 月 10 日 (日) 10 時 29 分 30 秒 (日本時間) |
1792 | Dmitry Domanov | September 28, 2023 22:56:29 UTC 2023 年 9 月 29 日 (金) 7 時 56 分 29 秒 (日本時間) |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | April 10, 2016 09:53:32 UTC 2016 年 4 月 10 日 (日) 18 時 53 分 32 秒 (日本時間) |
composite number 合成数 | 1464514736714838914135268605839467893159645432181551496421680014957790947807305096344107380092154475595285134698682243395045471684664610555969495256959730450534748212356703440836565604454782943449008215705545998403937971195133<226> |
prime factors 素因数 | 17594277564528279894943181300599<32> 83238128496246899629621204491916706532845500104056209253190931020542645926350533884349278478469670730442054076309054904469792718486231125492280453760572745911939864532120782042630407849442945067<194> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3878500217 Step 1 took 42969ms Step 2 took 13825ms ********** Factor found in step 2: 17594277564528279894943181300599 Found probable prime factor of 32 digits: 17594277564528279894943181300599 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 600 / 2336 | Dmitry Domanov | April 10, 2016 01:29:43 UTC 2016 年 4 月 10 日 (日) 10 時 29 分 43 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 2392 | 600 | Dmitry Domanov | April 10, 2016 01:29:54 UTC 2016 年 4 月 10 日 (日) 10 時 29 分 54 秒 (日本時間) |
1792 | Dmitry Domanov | September 28, 2023 22:56:38 UTC 2023 年 9 月 29 日 (金) 7 時 56 分 38 秒 (日本時間) |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | September 30, 2023 06:57:19 UTC 2023 年 9 月 30 日 (土) 15 時 57 分 19 秒 (日本時間) |
composite number 合成数 | 69534406520230095808579637418898711792597733020900837076371237753694226560375943397774165320442479205944640321925742893063070329679636240221501727277185500078398670796156190651396527368114690789358312038069288506643163505785294905881763<236> |
prime factors 素因数 | 23038127992825507937296090605402478717<38> |
composite cofactor 合成数の残り | 3018231626366707167151319303702767871913176352598701709862405241391900562474319699109293153301965422477073761329873649128159563342288071083725509199670661072172256552501701574696310026233589439425439<199> |
factorization results 素因数分解の結果 | Resuming ECM residue saved by @746e5c169655 with GMP-ECM 7.0.5-dev on Fri Sep 29 10:16:31 2023 Input number is 69534406520230095808579637418898711792597733020900837076371237753694226560375943397774165320442479205944640321925742893063070329679636240221501727277185500078398670796156190651396527368114690789358312038069288506643163505785294905881763 (236 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1271052926 Step 1 took 0ms Step 2 took 5439ms ********** Factor found in step 2: 23038127992825507937296090605402478717 Found prime factor of 38 digits: 23038127992825507937296090605402478717 Composite cofactor 3018231626366707167151319303702767871913176352598701709862405241391900562474319699109293153301965422477073761329873649128159563342288071083725509199670661072172256552501701574696310026233589439425439 has 199 digits |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 2392 | 600 | Dmitry Domanov | April 10, 2016 01:30:06 UTC 2016 年 4 月 10 日 (日) 10 時 30 分 6 秒 (日本時間) |
1792 | Dmitry Domanov | September 28, 2023 22:56:47 UTC 2023 年 9 月 29 日 (金) 7 時 56 分 47 秒 (日本時間) |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | April 10, 2016 09:52:22 UTC 2016 年 4 月 10 日 (日) 18 時 52 分 22 秒 (日本時間) |
composite number 合成数 | 54566905453975987895233612723003695605259101131749012175973652819493553881782887846051794506011600690087472393256154067853613419165161010852710078189253042287013410785058392677698646935175390041413<197> |
prime factors 素因数 | 793056812318334314869300960263426262831<39> |
composite cofactor 合成数の残り | 68805796263777306640885843624678904545707616827760340758361561836318142786636708018356635278113939530523070985712780692579849184372975344673171367291350437323<158> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1264921666 Step 1 took 30348ms Step 2 took 11547ms ********** Factor found in step 2: 793056812318334314869300960263426262831 Found probable prime factor of 39 digits: 793056812318334314869300960263426262831 |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | April 10, 2016 17:20:29 UTC 2016 年 4 月 11 日 (月) 2 時 20 分 29 秒 (日本時間) |
composite number 合成数 | 68805796263777306640885843624678904545707616827760340758361561836318142786636708018356635278113939530523070985712780692579849184372975344673171367291350437323<158> |
prime factors 素因数 | 47045216107483400484659459417543858809663<41> 6104376670188409103847007693018064140315016957<46> 239589749471224876104266852692344910385167710713422887920243735040539353<72> |
factorization results 素因数分解の結果 | Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=562201437 Step 1 took 55736ms Step 2 took 22083ms ********** Factor found in step 2: 47045216107483400484659459417543858809663 Found probable prime factor of 41 digits: 47045216107483400484659459417543858809663 N=1462546077088430860003329627217966145782630187144174217607534871377915167074955413239515226730925077658886398620808821 ( 118 digits) Divisors found: r1=6104376670188409103847007693018064140315016957 (pp46) r2=239589749471224876104266852692344910385167710713422887920243735040539353 (pp72) Version: Msieve v. 1.50 (SVN unknown) Total time: 23.72 hours. Scaled time: 39.52 units (timescale=1.666). Factorization parameters were as follows: n: 1462546077088430860003329627217966145782630187144174217607534871377915167074955413239515226730925077658886398620808821 skew: 307022.65 c0: -8599062199330285263843888247 c1: 9426929714827109891023255 c2: -18975210630583470278 c3: -213150252089272 c4: 165272634 c5: 828 Y0: -70699409153065883885850 Y1: 243700128367 rlim: 5100000 alim: 5100000 lpbr: 27 lpba: 27 mfbr: 54 mfba: 54 type: gnfs rlambda: 2.5 alambda: 2.5 Factor base limits: 5100000/5100000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 54/54 Sieved algebraic special-q in [2550000, 3750001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 607948 x 608176 Total sieving time: 23.01 hours. Total relation processing time: 0.15 hours. Matrix solve time: 0.45 hours. Time per square root: 0.12 hours. Prototype def-par.txt line would be: gnfs,117,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5100000,5100000,27,27,54,54,2.5,2.5,100000 total time: 23.72 hours. --------- CPU info (if available) ---------- |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 600 / 2336 | Dmitry Domanov | April 10, 2016 01:30:21 UTC 2016 年 4 月 10 日 (日) 10 時 30 分 21 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 2392 | 600 | Dmitry Domanov | April 10, 2016 01:30:35 UTC 2016 年 4 月 10 日 (日) 10 時 30 分 35 秒 (日本時間) |
1792 | Dmitry Domanov | September 28, 2023 22:56:57 UTC 2023 年 9 月 29 日 (金) 7 時 56 分 57 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 600 | Dmitry Domanov | November 14, 2015 09:49:17 UTC 2015 年 11 月 14 日 (土) 18 時 49 分 17 秒 (日本時間) | |
45 | 11e6 | 800 / 4346 | Dmitry Domanov | January 23, 2016 15:37:12 UTC 2016 年 1 月 24 日 (日) 0 時 37 分 12 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 2392 | 600 | Dmitry Domanov | April 10, 2016 09:54:29 UTC 2016 年 4 月 10 日 (日) 18 時 54 分 29 秒 (日本時間) |
1792 | Dmitry Domanov | September 28, 2023 22:57:10 UTC 2023 年 9 月 29 日 (金) 7 時 57 分 10 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 2392 | 600 | Dmitry Domanov | April 10, 2016 09:54:39 UTC 2016 年 4 月 10 日 (日) 18 時 54 分 39 秒 (日本時間) |
1792 | Dmitry Domanov | September 28, 2023 22:57:19 UTC 2023 年 9 月 29 日 (金) 7 時 57 分 19 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 2392 | 600 | Dmitry Domanov | April 10, 2016 09:54:51 UTC 2016 年 4 月 10 日 (日) 18 時 54 分 51 秒 (日本時間) |
1792 | Dmitry Domanov | September 28, 2023 22:57:29 UTC 2023 年 9 月 29 日 (金) 7 時 57 分 29 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 2392 | 600 | Dmitry Domanov | April 10, 2016 09:55:02 UTC 2016 年 4 月 10 日 (日) 18 時 55 分 2 秒 (日本時間) |
1792 | Dmitry Domanov | September 28, 2023 22:58:20 UTC 2023 年 9 月 29 日 (金) 7 時 58 分 20 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 2392 | 600 | Dmitry Domanov | April 10, 2016 09:55:14 UTC 2016 年 4 月 10 日 (日) 18 時 55 分 14 秒 (日本時間) |
1792 | Dmitry Domanov | September 28, 2023 22:58:29 UTC 2023 年 9 月 29 日 (金) 7 時 58 分 29 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 2392 | 600 | Dmitry Domanov | April 10, 2016 09:55:26 UTC 2016 年 4 月 10 日 (日) 18 時 55 分 26 秒 (日本時間) |
1792 | Dmitry Domanov | September 28, 2023 22:58:38 UTC 2023 年 9 月 29 日 (金) 7 時 58 分 38 秒 (日本時間) |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | April 10, 2016 12:46:49 UTC 2016 年 4 月 10 日 (日) 21 時 46 分 49 秒 (日本時間) |
composite number 合成数 | 15434560406020412929301713270196821282933934795421550631501391479183867416321997744730337771263866727868979878757260025629307777400743273292669168399861085753690780015351431643442972922887206817801046946708130889371686669490881<227> |
prime factors 素因数 | 11837556875530759364205393893869<32> |
composite cofactor 合成数の残り | 1303863674600370194577021805807209872732839974686692498121392007154823240021310279071255159471827510183609063286661416463311978610218896109466428505173700524633570674418434671831134600683771107749<196> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=315064981 Step 1 took 29634ms Step 2 took 11678ms ********** Factor found in step 2: 11837556875530759364205393893869 Found probable prime factor of 32 digits: 11837556875530759364205393893869 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 600 | Dmitry Domanov | April 10, 2016 09:55:37 UTC 2016 年 4 月 10 日 (日) 18 時 55 分 37 秒 (日本時間) | |
45 | 11e6 | 2000 | Dmitry Domanov | April 10, 2016 16:26:26 UTC 2016 年 4 月 11 日 (月) 1 時 26 分 26 秒 (日本時間) | |
50 | 43e6 | 7172 | 672 | Dmitry Domanov | April 10, 2016 23:06:18 UTC 2016 年 4 月 11 日 (月) 8 時 6 分 18 秒 (日本時間) |
6500 | Erik Branger | August 29, 2017 11:38:31 UTC 2017 年 8 月 29 日 (火) 20 時 38 分 31 秒 (日本時間) |
name 名前 | Seth Troisi |
---|---|
date 日付 | January 2, 2024 18:54:42 UTC 2024 年 1 月 3 日 (水) 3 時 54 分 42 秒 (日本時間) |
composite number 合成数 | 18000327278677794141711667484863361152020945835378825069546719031255113729340533464244804450990018000327278677794141711667484863361152020945835378825069546719031255113729340533464244804450990018000327278677794141711667484863361152020945835378825069546719031255113729340533464244804451<284> |
prime factors 素因数 | 4637603482399831618007243367369715289369<40> |
composite cofactor 合成数の残り | 3881385579209355411956802012792237232818318621672249707718388850953087255713457670341472632332765032692739969273748304111358028907192394296369400965246870602751635554726565837115894776840747565252213703549756728762324361943194990753094767394779<244> |
factorization results 素因数分解の結果 | GMP-ECM 7.0.6-dev [configured with GMP 6.3.0, --enable-asm-redc, --enable-gpu, --enable-assert] [ECM] Tuned for x86_64/params.h Running on five Resuming P-1 residue saved by five@five with GMP-ECM 7.0.6-dev on Mon Dec 4 06:30:02 2023 Input number is 18000327278677794141711667484863361152020945835378825069546719031255113729340533464244804450990018000327278677794141711667484863361152020945835378825069546719031255113729340533464244804450990018000327278677794141711667484863361152020945835378825069546719031255113729340533464244804451 (284 digits) Using mpz_mod Using lmax = 16777216 with NTT which takes about 6528MB of memory Using B1=10000000000-10000000000, B2=10120522433628702, polynomial x^1 P = 596530935, l = 16777216, s_1 = 8294400, k = s_2 = 24, m_1 = 3 Probability of finding a factor of n digits (assuming one exists): 20 25 30 35 40 45 50 55 60 65 0.82 0.55 0.3 0.14 0.056 0.02 0.0064 0.0019 0.00052 0.00013 Step 1 took 0ms Computing F from factored S_1 took 69529ms Computing h took 9446ms Computing DCT-I of h took 19434ms Multi-point evaluation 1 of 24: Computing g_i took 31501ms Computing g*h took 39947ms Computing gcd of coefficients and N took 9496ms Step 2 took 179998ms ********** Factor found in step 2: 4637603482399831618007243367369715289369 Found prime factor of 40 digits: 4637603482399831618007243367369715289369 Composite cofactor 3881385579209355411956802012792237232818318621672249707718388850953087255713457670341472632332765032692739969273748304111358028907192394296369400965246870602751635554726565837115894776840747565252213703549756728762324361943194990753094767394779 has 244 digits Peak memory usage: 7018MB |
software ソフトウェア | GMP-ECM 7.0.6, ecm-db 0.1 |
execution environment 実行環境 | 1080 Ti for PM1 stage1 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 904 | Makoto Kamada | November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 600 | Dmitry Domanov | November 14, 2015 09:46:31 UTC 2015 年 11 月 14 日 (土) 18 時 46 分 31 秒 (日本時間) | |
45 | 11e6 | 800 / 4305 | Dmitry Domanov | January 20, 2016 17:15:01 UTC 2016 年 1 月 21 日 (木) 2 時 15 分 1 秒 (日本時間) |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | November 14, 2015 16:41:44 UTC 2015 年 11 月 15 日 (日) 1 時 41 分 44 秒 (日本時間) |
composite number 合成数 | 249763916334537422468171562380013982238152618922250536368010328419114750398430211080026856432749135533026850302180280048926480628878294357674189328768557175161023932151405069617150516137133105321583530476533658298894295142387002830733404493343678100631698356031196875498818276088579<282> |
prime factors 素因数 | 209140652143118779522726105826971<33> |
composite cofactor 合成数の残り | 1194238966815592594973083221886889836188973309617990400592809422072320893760893005597867227819594484725599274384782136561370727414614076215998953315736047107579021081926264585078142905568998829505668777857356424303245266844066405302412466477247877049<250> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=767436370 Step 1 took 52738ms Step 2 took 15844ms ********** Factor found in step 2: 209140652143118779522726105826971 Found probable prime factor of 33 digits: 209140652143118779522726105826971 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 2400 | 600 | Dmitry Domanov | November 14, 2015 09:45:28 UTC 2015 年 11 月 14 日 (土) 18 時 45 分 28 秒 (日本時間) |
1800 | ebina | November 2, 2021 20:37:15 UTC 2021 年 11 月 3 日 (水) 5 時 37 分 15 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 2392 | 600 | Dmitry Domanov | March 25, 2016 07:25:07 UTC 2016 年 3 月 25 日 (金) 16 時 25 分 7 秒 (日本時間) |
1792 | Dmitry Domanov | September 28, 2023 22:59:00 UTC 2023 年 9 月 29 日 (金) 7 時 59 分 0 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 2392 | 600 | Dmitry Domanov | March 25, 2016 07:25:20 UTC 2016 年 3 月 25 日 (金) 16 時 25 分 20 秒 (日本時間) |
1792 | Dmitry Domanov | September 28, 2023 22:59:08 UTC 2023 年 9 月 29 日 (金) 7 時 59 分 8 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 2392 | 600 | Dmitry Domanov | March 25, 2016 07:25:31 UTC 2016 年 3 月 25 日 (金) 16 時 25 分 31 秒 (日本時間) |
1792 | Dmitry Domanov | September 28, 2023 22:59:16 UTC 2023 年 9 月 29 日 (金) 7 時 59 分 16 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 2392 | 600 | Dmitry Domanov | March 25, 2016 07:25:41 UTC 2016 年 3 月 25 日 (金) 16 時 25 分 41 秒 (日本時間) |
1792 | Dmitry Domanov | September 28, 2023 22:59:25 UTC 2023 年 9 月 29 日 (金) 7 時 59 分 25 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 2392 | 600 | Dmitry Domanov | March 25, 2016 07:25:52 UTC 2016 年 3 月 25 日 (金) 16 時 25 分 52 秒 (日本時間) |
1792 | Dmitry Domanov | September 28, 2023 22:59:32 UTC 2023 年 9 月 29 日 (金) 7 時 59 分 32 秒 (日本時間) |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | March 25, 2016 09:39:59 UTC 2016 年 3 月 25 日 (金) 18 時 39 分 59 秒 (日本時間) |
composite number 合成数 | 2324565084632760001220913145529184679317614302468974077310497713283050860828461013692807499780747919344857139342116671102857164595388718978470500768058271102713683985401240912067868841759316990907366948419028672110529248358347880682994958432040619378607738602131134925929182521859173881<286> |
prime factors 素因数 | 125921604186766930221230425035059881<36> |
composite cofactor 合成数の残り | 18460415110221792763020806270269255400325745573187827814183601371271679664923566360549383305239237580309796626515190962555369487758955375695105564205440738963449205483844656523216609361963024589060191260030632548840707824234094588812865090065351394001<251> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=23925700 Step 1 took 31612ms ********** Factor found in step 1: 125921604186766930221230425035059881 Found probable prime factor of 36 digits: 125921604186766930221230425035059881 |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | October 1, 2023 18:37:00 UTC 2023 年 10 月 2 日 (月) 3 時 37 分 0 秒 (日本時間) |
composite number 合成数 | 18460415110221792763020806270269255400325745573187827814183601371271679664923566360549383305239237580309796626515190962555369487758955375695105564205440738963449205483844656523216609361963024589060191260030632548840707824234094588812865090065351394001<251> |
prime factors 素因数 | 499362262323498786013477563272041817609<39> 36967981970296937405056893634807713878495472063513670013750746756966671011765670847807758249841907535938705458657402028737367445709185248616119682479661882329518761198640789069059773562998875674355488746199345289<212> |
factorization results 素因数分解の結果 | Resuming ECM residue saved by @70e5337e1790 with GMP-ECM 7.0.5-dev on Sat Sep 30 09:49:02 2023 Input number is 18460415110221792763020806270269255400325745573187827814183601371271679664923566360549383305239237580309796626515190962555369487758955375695105564205440738963449205483844656523216609361963024589060191260030632548840707824234094588812865090065351394001 (251 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1595364043 Step 1 took 0ms Step 2 took 5720ms ********** Factor found in step 2: 499362262323498786013477563272041817609 Found prime factor of 39 digits: 499362262323498786013477563272041817609 Prime cofactor 36967981970296937405056893634807713878495472063513670013750746756966671011765670847807758249841907535938705458657402028737367445709185248616119682479661882329518761198640789069059773562998875674355488746199345289 has 212 digits |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 2392 | 600 | Dmitry Domanov | March 25, 2016 07:26:10 UTC 2016 年 3 月 25 日 (金) 16 時 26 分 10 秒 (日本時間) |
1792 | Dmitry Domanov | September 28, 2023 22:59:40 UTC 2023 年 9 月 29 日 (金) 7 時 59 分 40 秒 (日本時間) |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | March 25, 2016 13:02:14 UTC 2016 年 3 月 25 日 (金) 22 時 2 分 14 秒 (日本時間) |
composite number 合成数 | 345020162208438238309899511488872557140462425258096710785107987697716381025030275261387931173592423542051064345337349049343374402289298765901733010309015672362191237254195487009143029281744775836723960087383684267298461466207321084810455600318222882899179527910456751851747607<276> |
prime factors 素因数 | 16794075537178526110370021471173463<35> |
composite cofactor 合成数の残り | 20544159245004982703804213273158773940179850599186042279640032303612011892674916058613635062500974524325455882433032581959200148597755247547997341099504663338674966983884448924641754517717867245535124381646390005634905389260035304145695053889<242> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=768686616 Step 1 took 28394ms Step 2 took 9028ms ********** Factor found in step 2: 16794075537178526110370021471173463 Found probable prime factor of 35 digits: 16794075537178526110370021471173463 |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | October 1, 2023 18:37:20 UTC 2023 年 10 月 2 日 (月) 3 時 37 分 20 秒 (日本時間) |
composite number 合成数 | 20544159245004982703804213273158773940179850599186042279640032303612011892674916058613635062500974524325455882433032581959200148597755247547997341099504663338674966983884448924641754517717867245535124381646390005634905389260035304145695053889<242> |
prime factors 素因数 | 36557500162741262074810880518391597164399<41> |
composite cofactor 合成数の残り | 561968382781906280345657249663400738401610522070704665327680991509955595074648075650776514427116061100372764182564214799409243140188490735198127819474050670216894259470617944093672859789433894733554511<201> |
factorization results 素因数分解の結果 | Resuming ECM residue saved by @70e5337e1790 with GMP-ECM 7.0.5-dev on Sat Sep 30 09:53:30 2023 Input number is 20544159245004982703804213273158773940179850599186042279640032303612011892674916058613635062500974524325455882433032581959200148597755247547997341099504663338674966983884448924641754517717867245535124381646390005634905389260035304145695053889 (242 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:136625687 Step 1 took 0ms Step 2 took 5631ms ********** Factor found in step 2: 36557500162741262074810880518391597164399 Found prime factor of 41 digits: 36557500162741262074810880518391597164399 Composite cofactor 561968382781906280345657249663400738401610522070704665327680991509955595074648075650776514427116061100372764182564214799409243140188490735198127819474050670216894259470617944093672859789433894733554511 has 201 digits |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 2392 | 600 | Dmitry Domanov | March 25, 2016 07:26:21 UTC 2016 年 3 月 25 日 (金) 16 時 26 分 21 秒 (日本時間) |
1792 | Dmitry Domanov | September 28, 2023 22:59:48 UTC 2023 年 9 月 29 日 (金) 7 時 59 分 48 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 2392 | 600 | Dmitry Domanov | March 25, 2016 07:26:32 UTC 2016 年 3 月 25 日 (金) 16 時 26 分 32 秒 (日本時間) |
1792 | Dmitry Domanov | September 28, 2023 09:06:19 UTC 2023 年 9 月 28 日 (木) 18 時 6 分 19 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 1200 | Dmitry Domanov | November 14, 2015 22:51:57 UTC 2015 年 11 月 15 日 (日) 7 時 51 分 57 秒 (日本時間) | |
45 | 11e6 | 1200 | Dmitry Domanov | November 16, 2015 08:12:21 UTC 2015 年 11 月 16 日 (月) 17 時 12 分 21 秒 (日本時間) | |
50 | 43e6 | 864 / 7239 | Dmitry Domanov | November 17, 2015 07:31:57 UTC 2015 年 11 月 17 日 (火) 16 時 31 分 57 秒 (日本時間) |