name 名前 | Jo Yeong Uk |
---|---|
date 日付 | October 3, 2007 04:38:44 UTC 2007 年 10 月 3 日 (水) 13 時 38 分 44 秒 (日本時間) |
composite number 合成数 | 190482237531350201593701387345630020000634940791771167338645671291152100066668783135972570557795485570970507<108> |
prime factors 素因数 | 360964079692659801539218828060656161476910423250161<51> 527704135252280213728502010679882140961843051369612566587<57> |
factorization results 素因数分解の結果 | Number: 59993_111 N=190482237531350201593701387345630020000634940791771167338645671291152100066668783135972570557795485570970507 ( 108 digits) SNFS difficulty: 111 digits. Divisors found: r1=360964079692659801539218828060656161476910423250161 (pp51) r2=527704135252280213728502010679882140961843051369612566587 (pp57) Version: GGNFS-0.77.1-20050930-nocona Total time: 0.71 hours. Scaled time: 1.53 units (timescale=2.145). Factorization parameters were as follows: n: 190482237531350201593701387345630020000634940791771167338645671291152100066668783135972570557795485570970507 m: 10000000000000000000000 c5: 60 c0: -7 skew: 0.65 type: snfs Factor base limits: 360000/360000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 44/44 Sieved algebraic special-q in [180000, 320001) Primes: RFBsize:30757, AFBsize:30694, largePrimes:1074870 encountered Relations: rels:1007128, finalFF:101389 Max relations in full relation-set: 28 Initial matrix: 61518 x 101389 with sparse part having weight 4955758. Pruned matrix : 50735 x 51106 with weight 1760939. Total sieving time: 0.68 hours. Total relation processing time: 0.02 hours. Matrix solve time: 0.00 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,111,5,0,0,0,0,0,0,0,0,360000,360000,25,25,44,44,2.2,2.2,20000 total time: 0.71 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory: 8167512k/8912896k available (2115k kernel code, 0k reserved, 1306k data, 208k init) Calibrating delay using timer specific routine.. 4815.34 BogoMIPS (lpj=2407674) Calibrating delay using timer specific routine.. 4684.13 BogoMIPS (lpj=2342066) Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405119) Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405124) Total of 4 processors activated (19119.96 BogoMIPS). |
execution environment 実行環境 | Core 2 Quad Q6600 |
name 名前 | Jo Yeong Uk |
---|---|
date 日付 | October 3, 2007 06:14:09 UTC 2007 年 10 月 3 日 (水) 15 時 14 分 9 秒 (日本時間) |
composite number 合成数 | 20689655172413793103448275862068965517241379310344827586206896551724137931034482758620689655172413793103448275862068965517<122> |
prime factors 素因数 | 68004493287578401111324018574258290351<38> 304239531422152873078652750157120871113171209374964566110469309352350285844274312067<84> |
factorization results 素因数分解の結果 | Number: 59993_122 N=20689655172413793103448275862068965517241379310344827586206896551724137931034482758620689655172413793103448275862068965517 ( 122 digits) SNFS difficulty: 123 digits. Divisors found: r1=68004493287578401111324018574258290351 (pp38) r2=304239531422152873078652750157120871113171209374964566110469309352350285844274312067 (pp84) Version: GGNFS-0.77.1-20050930-nocona Total time: 1.52 hours. Scaled time: 3.26 units (timescale=2.144). Factorization parameters were as follows: n: 20689655172413793103448275862068965517241379310344827586206896551724137931034482758620689655172413793103448275862068965517 m: 2000000000000000000000000 c5: 75 c0: -28 skew: 0.82 type: snfs Factor base limits: 800000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 45/45 Sieved algebraic special-q in [400000, 720001) Primes: RFBsize:63951, AFBsize:63523, largePrimes:1389910 encountered Relations: rels:1372098, finalFF:158574 Max relations in full relation-set: 28 Initial matrix: 127540 x 158574 with sparse part having weight 7799698. Pruned matrix : 114540 x 115241 with weight 4337757. Total sieving time: 1.46 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.03 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,123,5,0,0,0,0,0,0,0,0,800000,800000,25,25,45,45,2.2,2.2,40000 total time: 1.52 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory: 8167512k/8912896k available (2115k kernel code, 0k reserved, 1306k data, 208k init) Calibrating delay using timer specific routine.. 4815.34 BogoMIPS (lpj=2407674) Calibrating delay using timer specific routine.. 4684.13 BogoMIPS (lpj=2342066) Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405119) Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405124) Total of 4 processors activated (19119.96 BogoMIPS). |
execution environment 実行環境 | Core 2 Quad Q6600 |
name 名前 | Sinkiti Sibata |
---|---|
date 日付 | October 3, 2007 17:46:22 UTC 2007 年 10 月 4 日 (木) 2 時 46 分 22 秒 (日本時間) |
composite number 合成数 | 21380974553871444688254468890053067115588260258501612679604952428097769224215962068469171433819236054429504159841429<116> |
prime factors 素因数 | 419726743015322283340796841866026105998611897<45> 50940224585810878707118381444742680923300871417714179798205170107648957<71> |
factorization results 素因数分解の結果 | Number: 59993_123 N=21380974553871444688254468890053067115588260258501612679604952428097769224215962068469171433819236054429504159841429 ( 116 digits) SNFS difficulty: 124 digits. Divisors found: r1=419726743015322283340796841866026105998611897 (pp45) r2=50940224585810878707118381444742680923300871417714179798205170107648957 (pp71) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 3.06 hours. Scaled time: 2.07 units (timescale=0.677). Factorization parameters were as follows: name: 59993_123 n: 21380974553871444688254468890053067115588260258501612679604952428097769224215962068469171433819236054429504159841429 m: 2000000000000000000000000 c5: 375 c0: -14 skew: 0.52 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, 650001) Primes: RFBsize:49098, AFBsize:64283, largePrimes:2107214 encountered Relations: rels:2116210, finalFF:152007 Max relations in full relation-set: 28 Initial matrix: 113447 x 152007 with sparse part having weight 13697410. Pruned matrix : 103414 x 104045 with weight 7180122. Total sieving time: 2.74 hours. Total relation processing time: 0.07 hours. Matrix solve time: 0.20 hours. Time per square root: 0.05 hours. Prototype def-par.txt line would be: snfs,124,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000 total time: 3.06 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 | October 3, 2007 12:45:11 UTC 2007 年 10 月 3 日 (水) 21 時 45 分 11 秒 (日本時間) |
composite number 合成数 | 656571830053196187799904164772922496545495954469135406953399630781207858546981712113037834474688778028156765148877<114> |
prime factors 素因数 | 50636596327829583320839536142290785563<38> 12966349985343467300064590701602747532440337222241547532187032604088384653879<77> |
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 656571830053196187799904164772922496545495954469135406953399630781207858546981712113037834474688778028156765148877 (114 digits) Using B1=1280000, B2=1193444696, polynomial Dickson(6), sigma=459190221 Step 1 took 12391ms Step 2 took 7594ms ********** Factor found in step 2: 50636596327829583320839536142290785563 Found probable prime factor of 38 digits: 50636596327829583320839536142290785563 Probable prime cofactor 12966349985343467300064590701602747532440337222241547532187032604088384653879 has 77 digits |
name 名前 | Sinkiti Sibata |
---|---|
date 日付 | October 3, 2007 17:40:53 UTC 2007 年 10 月 4 日 (木) 2 時 40 分 53 秒 (日本時間) |
composite number 合成数 | 300179562563939145447468893460840371948057004209201877467016267991673377504711137500631221<90> |
prime factors 素因数 | 538379064288744086953750328027856177081161<42> 557561730154771569560097260837268094018249256461<48> |
factorization results 素因数分解の結果 | Wed Oct 03 15:19:24 2007 Msieve v. 1.26 Wed Oct 03 15:19:24 2007 random seeds: ee28c423 6aa74c56 Wed Oct 03 15:19:24 2007 factoring 300179562563939145447468893460840371948057004209201877467016267991673377504711137500631221 (90 digits) Wed Oct 03 15:19:25 2007 commencing quadratic sieve (90-digit input) Wed Oct 03 15:19:26 2007 using multiplier of 5 Wed Oct 03 15:19:26 2007 using 64kb Pentium 2 sieve core Wed Oct 03 15:19:26 2007 sieve interval: 18 blocks of size 65536 Wed Oct 03 15:19:26 2007 processing polynomials in batches of 6 Wed Oct 03 15:19:26 2007 using a sieve bound of 1579619 (60000 primes) Wed Oct 03 15:19:26 2007 using large prime bound of 126369520 (26 bits) Wed Oct 03 15:19:26 2007 using double large prime bound of 382786039401520 (42-49 bits) Wed Oct 03 15:19:26 2007 using trial factoring cutoff of 49 bits Wed Oct 03 15:19:26 2007 polynomial 'A' values have 12 factors Thu Oct 04 01:00:41 2007 60563 relations (16228 full + 44335 combined from 633835 partial), need 60096 Thu Oct 04 01:00:52 2007 begin with 650063 relations Thu Oct 04 01:01:24 2007 reduce to 146669 relations in 10 passes Thu Oct 04 01:01:24 2007 attempting to read 146669 relations Thu Oct 04 01:01:38 2007 recovered 146669 relations Thu Oct 04 01:01:38 2007 recovered 124245 polynomials Thu Oct 04 01:02:13 2007 attempting to build 60563 cycles Thu Oct 04 01:02:14 2007 found 60563 cycles in 6 passes Thu Oct 04 01:02:17 2007 distribution of cycle lengths: Thu Oct 04 01:02:17 2007 length 1 : 16228 Thu Oct 04 01:02:17 2007 length 2 : 11907 Thu Oct 04 01:02:17 2007 length 3 : 10599 Thu Oct 04 01:02:17 2007 length 4 : 8065 Thu Oct 04 01:02:17 2007 length 5 : 5670 Thu Oct 04 01:02:17 2007 length 6 : 3510 Thu Oct 04 01:02:18 2007 length 7 : 2163 Thu Oct 04 01:02:18 2007 length 9+: 2421 Thu Oct 04 01:02:18 2007 largest cycle: 19 relations Thu Oct 04 01:02:20 2007 matrix is 60000 x 60563 with weight 3581602 (avg 59.14/col) Thu Oct 04 01:02:25 2007 filtering completed in 3 passes Thu Oct 04 01:02:25 2007 matrix is 55899 x 55963 with weight 3306276 (avg 59.08/col) Thu Oct 04 01:02:28 2007 saving the first 48 matrix rows for later Thu Oct 04 01:02:28 2007 matrix is 55851 x 55963 with weight 2583325 (avg 46.16/col) Thu Oct 04 01:02:28 2007 matrix includes 64 packed rows Thu Oct 04 01:02:28 2007 using block size 10922 for processor cache size 256 kB Thu Oct 04 01:02:29 2007 commencing Lanczos iteration Thu Oct 04 01:06:36 2007 lanczos halted after 885 iterations Thu Oct 04 01:06:37 2007 recovered 17 nontrivial dependencies Thu Oct 04 01:07:05 2007 prp42 factor: 538379064288744086953750328027856177081161 Thu Oct 04 01:07:05 2007 prp48 factor: 557561730154771569560097260837268094018249256461 Thu Oct 04 01:07:05 2007 elapsed time 09:47:41 |
execution environment 実行環境 | Pentium3 750MHz, Windows Me) |
name 名前 | Sinkiti Sibata |
---|---|
date 日付 | October 3, 2007 23:25:33 UTC 2007 年 10 月 4 日 (木) 8 時 25 分 33 秒 (日本時間) |
composite number 合成数 | 9143352172651724671661080561054985575066639417445336126160095189610799042575211729177505031243824903769647139905342227519<121> |
prime factors 素因数 | 45062760365254252417196977668457049<35> 107331866482129355939909099089742932497167<42> 1890422922086710862023492300837255153472513593<46> |
factorization results 素因数分解の結果 | Number: 59993_128 N=9143352172651724671661080561054985575066639417445336126160095189610799042575211729177505031243824903769647139905342227519 ( 121 digits) SNFS difficulty: 129 digits. Divisors found: r1=45062760365254252417196977668457049 (pp35) r2=107331866482129355939909099089742932497167 (pp42) r3=1890422922086710862023492300837255153472513593 (pp46) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 5.27 hours. Scaled time: 3.57 units (timescale=0.677). Factorization parameters were as follows: name: 59993_128 n: 9143352172651724671661080561054985575066639417445336126160095189610799042575211729177505031243824903769647139905342227519 m: 20000000000000000000000000 c5: 375 c0: -14 skew: 0.52 type: snfs Factor base limits: 800000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 44/44 Sieved algebraic special-q in [400000, 950001) Primes: RFBsize:63951, AFBsize:64283, largePrimes:1484571 encountered Relations: rels:1488026, finalFF:176006 Max relations in full relation-set: 28 Initial matrix: 128300 x 176006 with sparse part having weight 12189392. Pruned matrix : 113811 x 114516 with weight 6184426. Total sieving time: 4.96 hours. Total relation processing time: 0.07 hours. Matrix solve time: 0.20 hours. Time per square root: 0.05 hours. Prototype def-par.txt line would be: snfs,129,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000 total time: 5.27 hours. --------- CPU info (if available) ---------- |
execution environment 実行環境 | Pentium 4 2.4GHz, Windows XP and Cygwin) |
name 名前 | Jo Yeong Uk |
---|---|
date 日付 | October 3, 2007 13:56:43 UTC 2007 年 10 月 3 日 (水) 22 時 56 分 43 秒 (日本時間) |
composite number 合成数 | 18127241984317287948259696060358425132269108005734409737154495900535745003233991139307777121631495983<101> |
prime factors 素因数 | 41741913374238084153759348799228096820219<41> 434269551129510598310111242531747787622152307167204480286557<60> |
factorization results 素因数分解の結果 | Number: 59993_130 N=18127241984317287948259696060358425132269108005734409737154495900535745003233991139307777121631495983 ( 101 digits) SNFS difficulty: 130 digits. Divisors found: r1=41741913374238084153759348799228096820219 (pp41) r2=434269551129510598310111242531747787622152307167204480286557 (pp60) Version: GGNFS-0.77.1-20050930-nocona Total time: 2.61 hours. Scaled time: 5.60 units (timescale=2.145). Factorization parameters were as follows: n: 18127241984317287948259696060358425132269108005734409737154495900535745003233991139307777121631495983 m: 100000000000000000000000000 c5: 6 c0: -7 skew: 1.03 type: snfs Factor base limits: 1000000/1000000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved algebraic special-q in [500000, 1050001) Primes: RFBsize:78498, AFBsize:78516, largePrimes:1562106 encountered Relations: rels:1575211, finalFF:190100 Max relations in full relation-set: 28 Initial matrix: 157080 x 190100 with sparse part having weight 11252053. Pruned matrix : 145006 x 145855 with weight 6877487. Total sieving time: 2.51 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.06 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,130,5,0,0,0,0,0,0,0,0,1000000,1000000,25,25,46,46,2.2,2.2,50000 total time: 2.61 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory: 8167512k/8912896k available (2115k kernel code, 0k reserved, 1306k data, 208k init) Calibrating delay using timer specific routine.. 4815.34 BogoMIPS (lpj=2407674) Calibrating delay using timer specific routine.. 4684.13 BogoMIPS (lpj=2342066) Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405119) Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405124) Total of 4 processors activated (19119.96 BogoMIPS). |
execution environment 実行環境 | Core 2 Quad Q6600 |
name 名前 | Jo Yeong Uk |
---|---|
date 日付 | October 3, 2007 23:48:40 UTC 2007 年 10 月 4 日 (木) 8 時 48 分 40 秒 (日本時間) |
composite number 合成数 | 66746978113999611310097449475596804199185887107943546740850741408746145779182529734944412560401843507037523259931310684822883<125> |
prime factors 素因数 | 12872498163753083570298872692434111691304047437203023579603<59> 5185238891853061753866196726218370889062130742679403097113868915761<67> |
factorization results 素因数分解の結果 | Number: 59993_131 N=66746978113999611310097449475596804199185887107943546740850741408746145779182529734944412560401843507037523259931310684822883 ( 125 digits) SNFS difficulty: 131 digits. Divisors found: r1=12872498163753083570298872692434111691304047437203023579603 (pp59) r2=5185238891853061753866196726218370889062130742679403097113868915761 (pp67) Version: GGNFS-0.77.1-20050930-nocona Total time: 2.84 hours. Scaled time: 6.06 units (timescale=2.135). Factorization parameters were as follows: n: 66746978113999611310097449475596804199185887107943546740850741408746145779182529734944412560401843507037523259931310684822883 m: 100000000000000000000000000 c5: 60 c0: -7 skew: 0.65 type: snfs Factor base limits: 1000000/1000000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved algebraic special-q in [500000, 1100001) Primes: RFBsize:78498, AFBsize:78436, largePrimes:1617139 encountered Relations: rels:1662134, finalFF:216620 Max relations in full relation-set: 28 Initial matrix: 157001 x 216620 with sparse part having weight 13625699. Pruned matrix : 135783 x 136632 with weight 6867620. Total sieving time: 2.75 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.04 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,131,5,0,0,0,0,0,0,0,0,1000000,1000000,25,25,46,46,2.2,2.2,50000 total time: 2.84 hours. --------- CPU info (if available) ---------- Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Calibrating delay using timer specific routine.. 4684.13 BogoMIPS (lpj=2342066) Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405119) Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405124) Total of 4 processors activated (19119.96 BogoMIPS). |
execution environment 実行環境 | Core 2 Quad Q6600 |
name 名前 | Sinkiti Sibata |
---|---|
date 日付 | October 4, 2007 08:30:49 UTC 2007 年 10 月 4 日 (木) 17 時 30 分 49 秒 (日本時間) |
composite number 合成数 | 10503727509763587149462644038115572609411003558019047308296016303974338616397089884714139804160694574969979287<110> |
prime factors 素因数 | 157220545256202605499721340161299887750890477<45> 66808873437291415726408144788722762650560407722248850407211168531<65> |
factorization results 素因数分解の結果 | Number: 59993_132 N=10503727509763587149462644038115572609411003558019047308296016303974338616397089884714139804160694574969979287 ( 110 digits) SNFS difficulty: 132 digits. Divisors found: r1=157220545256202605499721340161299887750890477 (pp45) r2=66808873437291415726408144788722762650560407722248850407211168531 (pp65) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 8.23 hours. Scaled time: 5.57 units (timescale=0.677). Factorization parameters were as follows: name: 59993_132 n: 10503727509763587149462644038115572609411003558019047308296016303974338616397089884714139804160694574969979287 m: 100000000000000000000000000 c5: 600 c0: -7 skew: 0.41 type: snfs Factor base limits: 800000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 44/44 Sieved algebraic special-q in [400000, 1300001) Primes: RFBsize:63951, AFBsize:63523, largePrimes:1546399 encountered Relations: rels:1543966, finalFF:157068 Max relations in full relation-set: 28 Initial matrix: 127540 x 157068 with sparse part having weight 14736218. Pruned matrix : 120366 x 121067 with weight 9730311. Total sieving time: 7.77 hours. Total relation processing time: 0.10 hours. Matrix solve time: 0.30 hours. Time per square root: 0.05 hours. Prototype def-par.txt line would be: snfs,132,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000 total time: 8.23 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 | October 4, 2007 00:47:33 UTC 2007 年 10 月 4 日 (木) 9 時 47 分 33 秒 (日本時間) |
composite number 合成数 | 143198090692124105011933174224343675417661097852028639618138424821002386634844868735083532219570405727923627684964200477326968973747<132> |
prime factors 素因数 | 803784771613572434432727851402219930947<39> 8211994164161688590117664996602372379877<40> 21694458850171435203820744840123411555745339465862013<53> |
factorization results 素因数分解の結果 | Number: n N=143198090692124105011933174224343675417661097852028639618138424821002386634844868735083532219570405727923627684964200477326968973747 ( 132 digits) SNFS difficulty: 134 digits. Divisors found: r1=803784771613572434432727851402219930947 (pp39) r2=8211994164161688590117664996602372379877 (pp40) r3=21694458850171435203820744840123411555745339465862013 (pp53) Version: GGNFS-0.77.1-20051202-athlon Total time: 4.50 hours. Scaled time: 6.52 units (timescale=1.449). Factorization parameters were as follows: name: KA_5_9_132_3 n: 143198090692124105011933174224343675417661097852028639618138424821002386634844868735083532219570405727923627684964200477326968973747 skew: 0.52 deg: 5 c5: 375 c0: -14 m: 200000000000000000000000000 type: snfs rlim: 1200000 alim: 1200000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 50000 Factor base limits: 1200000/1200000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved algebraic special-q in [100000, 550001) Primes: RFBsize:92938, AFBsize:93099, largePrimes:5807271 encountered Relations: rels:5166926, finalFF:262402 Max relations in full relation-set: 28 Initial matrix: 186103 x 262402 with sparse part having weight 21646923. Pruned matrix : 153360 x 154354 with weight 9710538. Total sieving time: 3.84 hours. Total relation processing time: 0.13 hours. Matrix solve time: 0.40 hours. Total square root time: 0.12 hours, sqrts: 4. Prototype def-par.txt line would be: snfs,134,5,0,0,0,0,0,0,0,0,1200000,1200000,28,28,48,48,2.5,2.5,75000 total time: 4.50 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3400+ |
name 名前 | Sinkiti Sibata |
---|---|
date 日付 | October 4, 2007 06:46:19 UTC 2007 年 10 月 4 日 (木) 15 時 46 分 19 秒 (日本時間) |
composite number 合成数 | 30458668409186085102726075004708104994463090774955003534458454777954452719667825900945750528186059032006529<107> |
prime factors 素因数 | 1126059761985818701739729351936313997694323<43> 27048891575232108774848633209666793723302095208678124558846257723<65> |
factorization results 素因数分解の結果 | Number: 59993_135 N=30458668409186085102726075004708104994463090774955003534458454777954452719667825900945750528186059032006529 ( 107 digits) SNFS difficulty: 135 digits. Divisors found: r1=1126059761985818701739729351936313997694323 (pp43) r2=27048891575232108774848633209666793723302095208678124558846257723 (pp65) Version: GGNFS-0.77.1-20060513-k8 Total time: 7.79 hours. Scaled time: 15.48 units (timescale=1.986). Factorization parameters were as follows: name: 59993_135 n: 30458668409186085102726075004708104994463090774955003534458454777954452719667825900945750528186059032006529 m: 1000000000000000000000000000 c5: 6 c0: -7 skew: 1.03 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, 1375001) Primes: RFBsize:78498, AFBsize:63888, largePrimes:1589402 encountered Relations: rels:1605693, finalFF:183280 Max relations in full relation-set: 28 Initial matrix: 142452 x 183280 with sparse part having weight 16657071. Pruned matrix : 130634 x 131410 with weight 10249543. Total sieving time: 7.56 hours. Total relation processing time: 0.06 hours. Matrix solve time: 0.12 hours. Time per square root: 0.05 hours. Prototype def-par.txt line would be: snfs,135,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000 total time: 7.79 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 | October 3, 2007 11:15:11 UTC 2007 年 10 月 3 日 (水) 20 時 15 分 11 秒 (日本時間) |
composite number 合成数 | 599999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993<138> |
prime factors 素因数 | 11930304707794017951010060929038611787637529<44> 50292093512751817677191069598755399434481984540235534607565516222232375080068547729293970178017<95> |
factorization results 素因数分解の結果 | Number: 59993_137 N=599999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993 ( 138 digits) SNFS difficulty: 138 digits. Divisors found: r1=11930304707794017951010060929038611787637529 (pp44) r2=50292093512751817677191069598755399434481984540235534607565516222232375080068547729293970178017 (pp95) Version: GGNFS-0.77.1-20050930-nocona Total time: 4.81 hours. Scaled time: 10.24 units (timescale=2.129). Factorization parameters were as follows: n: 599999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993 m: 2000000000000000000000000000 c5: 75 c0: -28 skew: 0.82 type: snfs Factor base limits: 1400000/1400000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 47/47 Sieved algebraic special-q in [700000, 1600001) Primes: RFBsize:107126, AFBsize:106878, largePrimes:2399412 encountered Relations: rels:2552130, finalFF:267534 Max relations in full relation-set: 28 Initial matrix: 214070 x 267534 with sparse part having weight 24798377. Pruned matrix : 197717 x 198851 with weight 15730218. Total sieving time: 4.58 hours. Total relation processing time: 0.05 hours. Matrix solve time: 0.16 hours. Time per square root: 0.02 hours. Prototype def-par.txt line would be: snfs,138,5,0,0,0,0,0,0,0,0,1400000,1400000,25,25,47,47,2.3,2.3,50000 total time: 4.81 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory: 8167512k/8912896k available (2115k kernel code, 0k reserved, 1306k data, 208k init) Calibrating delay using timer specific routine.. 4815.34 BogoMIPS (lpj=2407674) Calibrating delay using timer specific routine.. 4684.13 BogoMIPS (lpj=2342066) Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405119) Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405124) Total of 4 processors activated (19119.96 BogoMIPS). |
execution environment 実行環境 | Core 2 Quad Q6600 |
name 名前 | Robert Backstrom |
---|---|
date 日付 | October 4, 2007 01:06:40 UTC 2007 年 10 月 4 日 (木) 10 時 6 分 40 秒 (日本時間) |
composite number 合成数 | 5065539939743545052105958972013845842938898621432723301896564325396338609157906919910005955133178828173955673300466815677403723018201<133> |
prime factors 素因数 | 488302592269751645844131141513207371459<39> 10373772369705551105830529941865993946904275182321723727108870993322153016866124697921503890739<95> |
factorization results 素因数分解の結果 | Number: n N=5065539939743545052105958972013845842938898621432723301896564325396338609157906919910005955133178828173955673300466815677403723018201 ( 133 digits) SNFS difficulty: 140 digits. Divisors found: r1=488302592269751645844131141513207371459 (pp39) r2=10373772369705551105830529941865993946904275182321723727108870993322153016866124697921503890739 (pp95) Version: GGNFS-0.77.1-20051202-athlon Total time: 7.15 hours. Scaled time: 9.46 units (timescale=1.322). Factorization parameters were as follows: name: KA_5_9_139_3 n: 5065539939743545052105958972013845842938898621432723301896564325396338609157906919910005955133178828173955673300466815677403723018201 skew: 1.03 deg: 5 c5: 6 c0: -7 m: 10000000000000000000000000000 type: snfs rlim: 1500000 alim: 1500000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 50000 Factor base limits: 1500000/1500000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved algebraic special-q in [100000, 850001) Primes: RFBsize:114155, AFBsize:114412, largePrimes:6395094 encountered Relations: rels:5722594, finalFF:311875 Max relations in full relation-set: 48 Initial matrix: 228633 x 311875 with sparse part having weight 33205990. Pruned matrix : 195644 x 196851 with weight 15042093. Total sieving time: 5.86 hours. Total relation processing time: 0.23 hours. Matrix solve time: 1.01 hours. Total square root time: 0.04 hours, sqrts: 1. Prototype def-par.txt line would be: snfs,140,5,0,0,0,0,0,0,0,0,1500000,1500000,28,28,48,48,2.5,2.5,100000 total time: 7.15 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3200+ |
name 名前 | Jo Yeong Uk |
---|---|
date 日付 | October 4, 2007 02:43:45 UTC 2007 年 10 月 4 日 (木) 11 時 43 分 45 秒 (日本時間) |
composite number 合成数 | 3780703739727714604072007660515275924677775824892928305810467477624400294208056190232911533726737568990921176889825991522002373<127> |
prime factors 素因数 | 6476031936152650611823116269070611627<37> 583799427952449996104077409330623614593075799711097271574870756751412606331718775669681999<90> |
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 3780703739727714604072007660515275924677775824892928305810467477624400294208056190232911533726737568990921176889825991522002373 (127 digits) Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3326569211 Step 1 took 20202ms Step 2 took 8920ms ********** Factor found in step 2: 6476031936152650611823116269070611627 Found probable prime factor of 37 digits: 6476031936152650611823116269070611627 Probable prime cofactor 583799427952449996104077409330623614593075799711097271574870756751412606331718775669681999 has 90 digits |
execution environment 実行環境 | Core 2 Quad Q6600 |
name 名前 | Sinkiti Sibata |
---|---|
date 日付 | October 4, 2007 15:45:49 UTC 2007 年 10 月 5 日 (金) 0 時 45 分 49 秒 (日本時間) |
composite number 合成数 | 109089836673239920516770319965068209364823641145718230527163887975622905277416393899382401902254788759475177<108> |
prime factors 素因数 | 42191759522915775604583057626823<32> 2585572109501371476246882696300039865583164290410873961325438433783561473999<76> |
factorization results 素因数分解の結果 | Number: 59993_142 N=109089836673239920516770319965068209364823641145718230527163887975622905277416393899382401902254788759475177 ( 108 digits) SNFS difficulty: 142 digits. Divisors found: r1=42191759522915775604583057626823 (pp32) r2=2585572109501371476246882696300039865583164290410873961325438433783561473999 (pp76) Version: GGNFS-0.77.1-20060513-k8 Total time: 17.01 hours. Scaled time: 34.09 units (timescale=2.004). Factorization parameters were as follows: name: 59993_142 n: 109089836673239920516770319965068209364823641145718230527163887975622905277416393899382401902254788759475177 m: 10000000000000000000000000000 c5: 600 c0: -7 skew: 0.41 type: snfs Factor base limits: 1300000/1300000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 45/45 Sieved algebraic special-q in [650000, 2550001) Primes: RFBsize:100021, AFBsize:99733, largePrimes:2907987 encountered Relations: rels:2943976, finalFF:268434 Max relations in full relation-set: 28 Initial matrix: 199820 x 268434 with sparse part having weight 31091401. Pruned matrix : 182446 x 183509 with weight 19802614. Total sieving time: 16.40 hours. Total relation processing time: 0.11 hours. Matrix solve time: 0.42 hours. Time per square root: 0.08 hours. Prototype def-par.txt line would be: snfs,142,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000 total time: 17.01 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 | October 4, 2007 14:09:43 UTC 2007 年 10 月 4 日 (木) 23 時 9 分 43 秒 (日本時間) |
composite number 合成数 | 49747939615056500626663559867471926285149195969519260672945306537946404080535869032470347651193685603727971808451<113> |
prime factors 素因数 | 208622310195879907337278472254444759<36> 238459345830976112102219160803088310324167412809493635059788300420093626611189<78> |
factorization results 素因数分解の結果 | Number: 59993_145 N=49747939615056500626663559867471926285149195969519260672945306537946404080535869032470347651193685603727971808451 ( 113 digits) SNFS difficulty: 145 digits. Divisors found: r1=208622310195879907337278472254444759 (pp36) r2=238459345830976112102219160803088310324167412809493635059788300420093626611189 (pp78) Version: GGNFS-0.77.1-20050930-nocona Total time: 10.31 hours. Scaled time: 21.94 units (timescale=2.128). Factorization parameters were as follows: n: 49747939615056500626663559867471926285149195969519260672945306537946404080535869032470347651193685603727971808451 m: 100000000000000000000000000000 c5: 6 c0: -7 skew: 1.03 type: snfs Factor base limits: 1500000/1500000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 47/47 Sieved algebraic special-q in [750000, 1450001) Primes: RFBsize:114155, AFBsize:114412, largePrimes:3499162 encountered Relations: rels:3558668, finalFF:328093 Max relations in full relation-set: 28 Initial matrix: 228633 x 328093 with sparse part having weight 33496163. Pruned matrix : 202020 x 203227 with weight 17855809. Total sieving time: 10.03 hours. Total relation processing time: 0.06 hours. Matrix solve time: 0.20 hours. Time per square root: 0.02 hours. Prototype def-par.txt line would be: snfs,145,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,47,47,2.3,2.3,50000 total time: 10.31 hours. --------- CPU info (if available) ---------- Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Calibrating delay using timer specific routine.. 4684.13 BogoMIPS (lpj=2342066) Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405119) Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405124) Total of 4 processors activated (19119.96 BogoMIPS). |
execution environment 実行環境 | Core 2 Quad Q6600 |
name 名前 | Sinkiti Sibata |
---|---|
date 日付 | October 6, 2007 00:31:25 UTC 2007 年 10 月 6 日 (土) 9 時 31 分 25 秒 (日本時間) |
composite number 合成数 | 1101965304326275718376569832258079442992217073921951287705392731002575698336321117095630581548488817660192266002626251175629<124> |
prime factors 素因数 | 2202754157836179317307651152968047629805882079<46> 500267040879752050179524392513061490125276212618093746534715313369595549802451<78> |
factorization results 素因数分解の結果 | Number: 59993_148 N=1101965304326275718376569832258079442992217073921951287705392731002575698336321117095630581548488817660192266002626251175629 ( 124 digits) SNFS difficulty: 149 digits. Divisors found: r1=2202754157836179317307651152968047629805882079 (pp46) r2=500267040879752050179524392513061490125276212618093746534715313369595549802451 (pp78) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 38.13 hours. Scaled time: 25.82 units (timescale=0.677). Factorization parameters were as follows: name: 59993_148 n: 1101965304326275718376569832258079442992217073921951287705392731002575698336321117095630581548488817660192266002626251175629 m: 200000000000000000000000000000 c5: 375 c0: -14 skew: 0.52 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, 4550001) Primes: RFBsize:114155, AFBsize:114432, largePrimes:3074783 encountered Relations: rels:3142613, finalFF:260671 Max relations in full relation-set: 28 Initial matrix: 228653 x 260671 with sparse part having weight 33256669. Pruned matrix : 220290 x 221497 with weight 26947508. Total sieving time: 35.67 hours. Total relation processing time: 0.28 hours. Matrix solve time: 2.06 hours. Time per square root: 0.12 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: 38.13 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 | October 5, 2007 00:00:54 UTC 2007 年 10 月 5 日 (金) 9 時 0 分 54 秒 (日本時間) |
composite number 合成数 | 1576910539473448019759109569079496607053578663117847018809888269843454571559582658010444036193986593579666558586970413978176556843695812590279771<145> |
prime factors 素因数 | 163890451242523530323685961374784914589069397<45> 9621735296463067319406359609200658570446718765888423723850749029550679811036943776234172558145948143<100> |
factorization results 素因数分解の結果 | Number: n N=1576910539473448019759109569079496607053578663117847018809888269843454571559582658010444036193986593579666558586970413978176556843695812590279771 ( 145 digits) SNFS difficulty: 151 digits. Divisors found: Fri Oct 05 09:28:44 2007 prp45 factor: 163890451242523530323685961374784914589069397 Fri Oct 05 09:28:44 2007 prp100 factor: 9621735296463067319406359609200658570446718765888423723850749029550679811036943776234172558145948143 Fri Oct 05 09:28:44 2007 elapsed time 00:54:09 (Msieve 1.26) Version: GGNFS-0.77.1-20051202-athlon Total time: 19.99 hours. Scaled time: 26.51 units (timescale=1.326). Factorization parameters were as follows: name: KA_5_9_150_3 n: 1576910539473448019759109569079496607053578663117847018809888269843454571559582658010444036193986593579666558586970413978176556843695812590279771 skew: 0.65 deg: 5 c5: 60 c0: -7 m: 1000000000000000000000000000000 type: snfs rlim: 3000000 alim: 3000000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 3000000/3000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved special-q in [100000, 900000) Primes: RFBsize:216816, AFBsize:216901, largePrimes:6806958 encountered Relations: rels:6383461, finalFF:576223 Max relations in full relation-set: 28 Initial matrix: 433784 x 576223 with sparse part having weight 36816750. Pruned matrix : 309229 x 311461 with weight 17215851. Total sieving time: 19.80 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,151,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000 total time: 19.99 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3200+ |
name 名前 | Sinkiti Sibata |
---|---|
date 日付 | October 5, 2007 08:19:35 UTC 2007 年 10 月 5 日 (金) 17 時 19 分 35 秒 (日本時間) |
composite number 合成数 | 9481419024773431796374859861929423222068324195372690108617292629460624268055670298332904077189122625243218702260577584276221851166121117681<139> |
prime factors 素因数 | 2422519199645591483038400362598333261141854085321449290981587<61> 3913867442685506786621678329983313608259562954908441460080566565534765765237163<79> |
factorization results 素因数分解の結果 | Number: 59993_152 N=9481419024773431796374859861929423222068324195372690108617292629460624268055670298332904077189122625243218702260577584276221851166121117681 ( 139 digits) SNFS difficulty: 152 digits. Divisors found: r1=2422519199645591483038400362598333261141854085321449290981587 (pp61) r2=3913867442685506786621678329983313608259562954908441460080566565534765765237163 (pp79) Version: GGNFS-0.77.1-20060513-k8 Total time: 30.48 hours. Scaled time: 59.79 units (timescale=1.962). Factorization parameters were as follows: name: 59993_152 n: 9481419024773431796374859861929423222068324195372690108617292629460624268055670298332904077189122625243218702260577584276221851166121117681 m: 1000000000000000000000000000000 c5: 600 c0: -7 skew: 0.41 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, 2300001) Primes: RFBsize:176302, AFBsize:175743, largePrimes:5726784 encountered Relations: rels:5711566, finalFF:522112 Max relations in full relation-set: 28 Initial matrix: 352111 x 522112 with sparse part having weight 50262752. Pruned matrix : 292470 x 294294 with weight 27860308. Total sieving time: 28.94 hours. Total relation processing time: 0.15 hours. Matrix solve time: 1.25 hours. Time per square root: 0.14 hours. Prototype def-par.txt line would be: snfs,152,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000 total time: 30.48 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 | October 3, 2007 10:46:37 UTC 2007 年 10 月 3 日 (水) 19 時 46 分 37 秒 (日本時間) |
composite number 合成数 | 2736683689998000234925592599907106848522357423838373040075488018168277701797414540341<85> |
prime factors 素因数 | 356746994819799697074718391780142365509993<42> 7671217220429161293573234558957602035904237<43> |
factorization results 素因数分解の結果 | Wed Oct 03 14:47:30 2007 Msieve v. 1.26 Wed Oct 03 14:47:30 2007 random seeds: 460178a0 145787d5 Wed Oct 03 14:47:30 2007 factoring 2736683689998000234925592599907106848522357423838373040075488018168277701797414540341 (85 digits) Wed Oct 03 14:47:30 2007 commencing quadratic sieve (85-digit input) Wed Oct 03 14:47:31 2007 using multiplier of 21 Wed Oct 03 14:47:31 2007 using 64kb Pentium 2 sieve core Wed Oct 03 14:47:31 2007 sieve interval: 6 blocks of size 65536 Wed Oct 03 14:47:31 2007 processing polynomials in batches of 17 Wed Oct 03 14:47:31 2007 using a sieve bound of 1425547 (54412 primes) Wed Oct 03 14:47:31 2007 using large prime bound of 116894854 (26 bits) Wed Oct 03 14:47:31 2007 using double large prime bound of 332683806537686 (41-49 bits) Wed Oct 03 14:47:31 2007 using trial factoring cutoff of 49 bits Wed Oct 03 14:47:31 2007 polynomial 'A' values have 11 factors Wed Oct 03 19:20:05 2007 54584 relations (15772 full + 38812 combined from 574026 partial), need 54508 Wed Oct 03 19:20:07 2007 begin with 589798 relations Wed Oct 03 19:20:09 2007 reduce to 128585 relations in 11 passes Wed Oct 03 19:20:09 2007 attempting to read 128585 relations Wed Oct 03 19:20:14 2007 recovered 128585 relations Wed Oct 03 19:20:14 2007 recovered 109292 polynomials Wed Oct 03 19:20:15 2007 attempting to build 54584 cycles Wed Oct 03 19:20:15 2007 found 54584 cycles in 5 passes Wed Oct 03 19:20:19 2007 distribution of cycle lengths: Wed Oct 03 19:20:19 2007 length 1 : 15772 Wed Oct 03 19:20:19 2007 length 2 : 11077 Wed Oct 03 19:20:19 2007 length 3 : 9717 Wed Oct 03 19:20:19 2007 length 4 : 6987 Wed Oct 03 19:20:19 2007 length 5 : 4720 Wed Oct 03 19:20:19 2007 length 6 : 2838 Wed Oct 03 19:20:19 2007 length 7 : 1656 Wed Oct 03 19:20:19 2007 length 9+: 1817 Wed Oct 03 19:20:19 2007 largest cycle: 17 relations Wed Oct 03 19:20:20 2007 matrix is 54412 x 54584 with weight 2905977 (avg 53.24/col) Wed Oct 03 19:20:22 2007 filtering completed in 3 passes Wed Oct 03 19:20:22 2007 matrix is 49748 x 49812 with weight 2673600 (avg 53.67/col) Wed Oct 03 19:20:24 2007 saving the first 48 matrix rows for later Wed Oct 03 19:20:24 2007 matrix is 49700 x 49812 with weight 1993341 (avg 40.02/col) Wed Oct 03 19:20:24 2007 matrix includes 64 packed rows Wed Oct 03 19:20:24 2007 commencing Lanczos iteration Wed Oct 03 19:25:55 2007 lanczos halted after 787 iterations Wed Oct 03 19:25:56 2007 recovered 19 nontrivial dependencies Wed Oct 03 19:25:59 2007 prp42 factor: 356746994819799697074718391780142365509993 Wed Oct 03 19:25:59 2007 prp43 factor: 7671217220429161293573234558957602035904237 Wed Oct 03 19:25:59 2007 elapsed time 04:38:29 |
execution environment 実行環境 | Celeron 750MHz, Windows 2000) |
name 名前 | Robert Backstrom |
---|---|
date 日付 | October 3, 2007 16:04:21 UTC 2007 年 10 月 4 日 (木) 1 時 4 分 21 秒 (日本時間) |
composite number 合成数 | 860781490961595669697733605784670171336258336753794416470408536041356301000209037411<84> |
prime factors 素因数 | 217264834889735630458321389261532721<36> 3961899731258636703690742682913482426977474823891<49> |
factorization results 素因数分解の結果 | Wed Oct 03 15:36:33 2007 Msieve v. 1.26 Wed Oct 03 15:36:33 2007 random seeds: 965c87cc d2ef83b1 Wed Oct 03 15:36:33 2007 factoring 860781490961595669697733605784670171336258336753794416470408536041356301000209037411 (84 digits) Wed Oct 03 15:36:34 2007 commencing quadratic sieve (84-digit input) Wed Oct 03 15:36:34 2007 using multiplier of 1 Wed Oct 03 15:36:34 2007 using 64kb Opteron sieve core Wed Oct 03 15:36:34 2007 sieve interval: 6 blocks of size 65536 Wed Oct 03 15:36:34 2007 processing polynomials in batches of 17 Wed Oct 03 15:36:34 2007 using a sieve bound of 1409117 (53799 primes) Wed Oct 03 15:36:34 2007 using large prime bound of 119774945 (26 bits) Wed Oct 03 15:36:34 2007 using trial factoring cutoff of 27 bits Wed Oct 03 15:36:34 2007 polynomial 'A' values have 11 factors Wed Oct 03 16:07:49 2007 54021 relations (27210 full + 26811 combined from 284568 partial), need 53895 Wed Oct 03 16:07:50 2007 begin with 311778 relations Wed Oct 03 16:07:50 2007 reduce to 77387 relations in 2 passes Wed Oct 03 16:07:50 2007 attempting to read 77387 relations Wed Oct 03 16:07:51 2007 recovered 77387 relations Wed Oct 03 16:07:51 2007 recovered 71517 polynomials Wed Oct 03 16:07:51 2007 attempting to build 54021 cycles Wed Oct 03 16:07:51 2007 found 54021 cycles in 1 passes Wed Oct 03 16:07:51 2007 distribution of cycle lengths: Wed Oct 03 16:07:51 2007 length 1 : 27210 Wed Oct 03 16:07:51 2007 length 2 : 26811 Wed Oct 03 16:07:51 2007 largest cycle: 2 relations Wed Oct 03 16:07:51 2007 matrix is 53799 x 54021 with weight 1755888 (avg 32.50/col) Wed Oct 03 16:07:51 2007 filtering completed in 4 passes Wed Oct 03 16:07:51 2007 matrix is 46702 x 46766 with weight 1491481 (avg 31.89/col) Wed Oct 03 16:07:52 2007 saving the first 48 matrix rows for later Wed Oct 03 16:07:52 2007 matrix is 46654 x 46766 with weight 1088600 (avg 23.28/col) Wed Oct 03 16:07:52 2007 matrix includes 64 packed rows Wed Oct 03 16:07:52 2007 commencing Lanczos iteration Wed Oct 03 16:08:46 2007 lanczos halted after 739 iterations Wed Oct 03 16:08:47 2007 recovered 6 nontrivial dependencies Wed Oct 03 16:08:47 2007 prp36 factor: 217264834889735630458321389261532721 Wed Oct 03 16:08:47 2007 prp49 factor: 3961899731258636703690742682913482426977474823891 Wed Oct 03 16:08:47 2007 elapsed time 00:32:14 |
name 名前 | Robert Backstrom |
---|---|
date 日付 | October 3, 2007 13:23:58 UTC 2007 年 10 月 3 日 (水) 22 時 23 分 58 秒 (日本時間) |
composite number 合成数 | 28083270071686319089592401973395533416884243987372294079591744321397845903861895820202049357252473<98> |
prime factors 素因数 | 22320341571287862440791180961911537<35> 1258191770139023959637271001787399781177095229292345787867966729<64> |
factorization results 素因数分解の結果 | Wed Oct 03 16:19:38 2007 Msieve v. 1.26 Wed Oct 03 16:19:38 2007 random seeds: b8709f30 80cbbce4 Wed Oct 03 16:19:38 2007 factoring 28083270071686319089592401973395533416884243987372294079591744321397845903861895820202049357252473 (98 digits) Wed Oct 03 16:19:38 2007 commencing quadratic sieve (98-digit input) Wed Oct 03 16:19:38 2007 using multiplier of 1 Wed Oct 03 16:19:38 2007 using 64kb Opteron sieve core Wed Oct 03 16:19:38 2007 sieve interval: 18 blocks of size 65536 Wed Oct 03 16:19:38 2007 processing polynomials in batches of 6 Wed Oct 03 16:19:38 2007 using a sieve bound of 2473301 (90543 primes) Wed Oct 03 16:19:38 2007 using large prime bound of 370995150 (28 bits) Wed Oct 03 16:19:38 2007 using double large prime bound of 2659884601469100 (43-52 bits) Wed Oct 03 16:19:38 2007 using trial factoring cutoff of 52 bits Wed Oct 03 16:19:38 2007 polynomial 'A' values have 13 factors Wed Oct 03 23:18:45 2007 90718 relations (21893 full + 68825 combined from 1364772 partial), need 90639 Wed Oct 03 23:18:47 2007 begin with 1386665 relations Wed Oct 03 23:18:48 2007 reduce to 237587 relations in 12 passes Wed Oct 03 23:18:48 2007 attempting to read 237587 relations Wed Oct 03 23:18:52 2007 recovered 237587 relations Wed Oct 03 23:18:52 2007 recovered 225257 polynomials Wed Oct 03 23:18:52 2007 attempting to build 90718 cycles Wed Oct 03 23:18:53 2007 found 90718 cycles in 6 passes Wed Oct 03 23:18:53 2007 distribution of cycle lengths: Wed Oct 03 23:18:53 2007 length 1 : 21893 Wed Oct 03 23:18:53 2007 length 2 : 15660 Wed Oct 03 23:18:53 2007 length 3 : 15243 Wed Oct 03 23:18:53 2007 length 4 : 12310 Wed Oct 03 23:18:53 2007 length 5 : 9641 Wed Oct 03 23:18:53 2007 length 6 : 6118 Wed Oct 03 23:18:53 2007 length 7 : 4176 Wed Oct 03 23:18:53 2007 length 9+: 5677 Wed Oct 03 23:18:53 2007 largest cycle: 19 relations Wed Oct 03 23:18:53 2007 matrix is 90543 x 90718 with weight 6047781 (avg 66.67/col) Wed Oct 03 23:18:54 2007 filtering completed in 3 passes Wed Oct 03 23:18:54 2007 matrix is 86539 x 86603 with weight 5807038 (avg 67.05/col) Wed Oct 03 23:18:55 2007 saving the first 48 matrix rows for later Wed Oct 03 23:18:55 2007 matrix is 86491 x 86603 with weight 4591383 (avg 53.02/col) Wed Oct 03 23:18:55 2007 matrix includes 64 packed rows Wed Oct 03 23:18:55 2007 using block size 21845 for processor cache size 512 kB Wed Oct 03 23:18:55 2007 commencing Lanczos iteration Wed Oct 03 23:20:21 2007 lanczos halted after 1370 iterations Wed Oct 03 23:20:21 2007 recovered 17 nontrivial dependencies Wed Oct 03 23:20:22 2007 prp35 factor: 22320341571287862440791180961911537 Wed Oct 03 23:20:22 2007 prp64 factor: 1258191770139023959637271001787399781177095229292345787867966729 Wed Oct 03 23:20:22 2007 elapsed time 07:00:44 |
name 名前 | Jo Yeong Uk |
---|---|
date 日付 | October 4, 2007 23:22:45 UTC 2007 年 10 月 5 日 (金) 8 時 22 分 45 秒 (日本時間) |
composite number 合成数 | 402420364802456082600245272138853200856277707189366407172983739323623291446802112677069257990389<96> |
prime factors 素因数 | 17014311483120697384989356382969398497597<41> 23651874787979709585009977994193399030605069949949286937<56> |
factorization results 素因数分解の結果 | Thu Oct 4 21:37:14 2007 Thu Oct 4 21:37:14 2007 Thu Oct 4 21:37:14 2007 Msieve v. 1.28 Thu Oct 4 21:37:14 2007 random seeds: 1a77d3d5 9d0329b9 Thu Oct 4 21:37:14 2007 factoring 402420364802456082600245272138853200856277707189366407172983739323623291446802112677069257990389 (96 digits) Thu Oct 4 21:37:14 2007 commencing quadratic sieve (96-digit input) Thu Oct 4 21:37:14 2007 using multiplier of 1 Thu Oct 4 21:37:14 2007 using 32kb Intel Core sieve core Thu Oct 4 21:37:14 2007 sieve interval: 36 blocks of size 32768 Thu Oct 4 21:37:14 2007 processing polynomials in batches of 6 Thu Oct 4 21:37:14 2007 using a sieve bound of 2248781 (83529 primes) Thu Oct 4 21:37:14 2007 using large prime bound of 337317150 (28 bits) Thu Oct 4 21:37:14 2007 using double large prime bound of 2241140878991550 (43-51 bits) Thu Oct 4 21:37:14 2007 using trial factoring cutoff of 51 bits Thu Oct 4 21:37:14 2007 polynomial 'A' values have 12 factors Fri Oct 5 02:05:05 2007 83793 relations (19127 full + 64666 combined from 1276886 partial), need 83625 Fri Oct 5 02:05:06 2007 begin with 1296013 relations Fri Oct 5 02:05:07 2007 reduce to 225145 relations in 12 passes Fri Oct 5 02:05:07 2007 attempting to read 225145 relations Fri Oct 5 02:05:08 2007 recovered 225145 relations Fri Oct 5 02:05:08 2007 recovered 213597 polynomials Fri Oct 5 02:05:09 2007 attempting to build 83793 cycles Fri Oct 5 02:05:09 2007 found 83793 cycles in 6 passes Fri Oct 5 02:05:09 2007 distribution of cycle lengths: Fri Oct 5 02:05:09 2007 length 1 : 19127 Fri Oct 5 02:05:09 2007 length 2 : 13665 Fri Oct 5 02:05:09 2007 length 3 : 13753 Fri Oct 5 02:05:09 2007 length 4 : 11694 Fri Oct 5 02:05:09 2007 length 5 : 8929 Fri Oct 5 02:05:09 2007 length 6 : 6357 Fri Oct 5 02:05:09 2007 length 7 : 4300 Fri Oct 5 02:05:09 2007 length 9+: 5968 Fri Oct 5 02:05:09 2007 largest cycle: 20 relations Fri Oct 5 02:05:09 2007 matrix is 83529 x 83793 with weight 5817253 (avg 69.42/col) Fri Oct 5 02:05:10 2007 filtering completed in 4 passes Fri Oct 5 02:05:10 2007 matrix is 80599 x 80663 with weight 5617583 (avg 69.64/col) Fri Oct 5 02:05:11 2007 saving the first 48 matrix rows for later Fri Oct 5 02:05:11 2007 matrix is 80551 x 80663 with weight 4705622 (avg 58.34/col) Fri Oct 5 02:05:11 2007 matrix includes 64 packed rows Fri Oct 5 02:05:11 2007 using block size 32265 for processor cache size 4096 kB Fri Oct 5 02:05:14 2007 commencing Lanczos iteration Fri Oct 5 02:05:49 2007 lanczos halted after 1276 iterations Fri Oct 5 02:05:49 2007 recovered 17 nontrivial dependencies Fri Oct 5 02:05:50 2007 prp41 factor: 17014311483120697384989356382969398497597 Fri Oct 5 02:05:50 2007 prp56 factor: 23651874787979709585009977994193399030605069949949286937 Fri Oct 5 02:05:50 2007 elapsed time 04:28:36 |
execution environment 実行環境 | Core 2 Quad Q6600 |
name 名前 | Sinkiti Sibata |
---|---|
date 日付 | October 5, 2007 21:35:11 UTC 2007 年 10 月 6 日 (土) 6 時 35 分 11 秒 (日本時間) |
composite number 合成数 | 10116551302389730489061629792753496443305947169260756466085450095805957750759395081955491468661781825974259<107> |
prime factors 素因数 | 125543951754463483312651367167081146619879782542807<51> 80581749745901679359607613279455998414547734638470247237<56> |
factorization results 素因数分解の結果 | Number: 59993_160 N=10116551302389730489061629792753496443305947169260756466085450095805957750759395081955491468661781825974259 ( 107 digits) Divisors found: r1=125543951754463483312651367167081146619879782542807 (pp51) r2=80581749745901679359607613279455998414547734638470247237 (pp56) Version: GGNFS-0.77.1-20060513-k8 Total time: 16.09 hours. Scaled time: 31.66 units (timescale=1.968). Factorization parameters were as follows: name: 59993_160 n: 10116551302389730489061629792753496443305947169260756466085450095805957750759395081955491468661781825974259 skew: 8717.48 # norm 7.18e+14 c5: 34200 c4: 3446830450 c3: -49450344917839 c2: -282207816974048745 c1: 293743109705688382953 c0: -105852972657943776101076 # alpha -6.04 Y1: 1982489113 Y0: -196879813041941649923 # Murphy_E 1.63e-09 # M 8200850302644055184453131829831345367830490194178486463399401491964831823878780279463907218481306105711361 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, 2300001) Primes: RFBsize:183072, AFBsize:182207, largePrimes:4770558 encountered Relations: rels:5287342, finalFF:797494 Max relations in full relation-set: 28 Initial matrix: 365359 x 797494 with sparse part having weight 66842766. Pruned matrix : 198399 x 200289 with weight 27225588. Total sieving time: 15.17 hours. Total relation processing time: 0.15 hours. Matrix solve time: 0.58 hours. Time per square root: 0.18 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: 16.09 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 | October 7, 2007 08:49:53 UTC 2007 年 10 月 7 日 (日) 17 時 49 分 53 秒 (日本時間) |
composite number 合成数 | 5257990515336585603900960324981397066212063936330995720178877708548412575128763722465208456773985220196118351156898540333928188639<130> |
prime factors 素因数 | 25632208522320555148392302355173<32> 205132168410612051871480238620927190554253620898540807301677670565578241342961193951890988344739443<99> |
factorization results 素因数分解の結果 | Number: 59993_161 N=5257990515336585603900960324981397066212063936330995720178877708548412575128763722465208456773985220196118351156898540333928188639 ( 130 digits) SNFS difficulty: 161 digits. Divisors found: r1=25632208522320555148392302355173 (pp32) r2=205132168410612051871480238620927190554253620898540807301677670565578241342961193951890988344739443 (pp99) Version: GGNFS-0.77.1-20060513-k8 Total time: 67.83 hours. Scaled time: 134.98 units (timescale=1.990). Factorization parameters were as follows: name: 59993_161 n: 5257990515336585603900960324981397066212063936330995720178877708548412575128763722465208456773985220196118351156898540333928188639 m: 100000000000000000000000000000000 c5: 60 c0: -7 skew: 0.65 type: snfs Factor base limits: 4500000/4500000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [2250000, 4350001) Primes: RFBsize:315948, AFBsize:316366, largePrimes:5776158 encountered Relations: rels:5879966, finalFF:735887 Max relations in full relation-set: 28 Initial matrix: 632381 x 735887 with sparse part having weight 44476895. Pruned matrix : 553498 x 556723 with weight 31162467. Total sieving time: 64.08 hours. Total relation processing time: 0.18 hours. Matrix solve time: 3.36 hours. Time per square root: 0.21 hours. Prototype def-par.txt line would be: snfs,161,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,48,48,2.3,2.3,100000 total time: 67.83 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 | October 9, 2007 10:03:05 UTC 2007 年 10 月 9 日 (火) 19 時 3 分 5 秒 (日本時間) |
composite number 合成数 | 1977633230023623206564389103658481345270454210925237336059189627833971133619728015943405220774679827442341511985530665001766489444666368027814581<145> |
prime factors 素因数 | 15909833358959093262353180001154624082529476187767<50> 124302573471643865966793637908816400185876720580733444177989495780776161055978026073936417281843<96> |
factorization results 素因数分解の結果 | Number: 59993_163 N=1977633230023623206564389103658481345270454210925237336059189627833971133619728015943405220774679827442341511985530665001766489444666368027814581 ( 145 digits) SNFS difficulty: 164 digits. Divisors found: r1=15909833358959093262353180001154624082529476187767 (pp50) r2=124302573471643865966793637908816400185876720580733444177989495780776161055978026073936417281843 (pp96) Version: GGNFS-0.77.1-20060513-k8 Total time: 95.21 hours. Scaled time: 190.23 units (timescale=1.998). Factorization parameters were as follows: name: 59993_163 n: 1977633230023623206564389103658481345270454210925237336059189627833971133619728015943405220774679827442341511985530665001766489444666368027814581 m: 200000000000000000000000000000000 c5: 375 c0: -14 skew: 0.52 type: snfs Factor base limits: 4500000/4500000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [2250000, 5350001) Primes: RFBsize:315948, AFBsize:315866, largePrimes:5944123 encountered Relations: rels:6092944, finalFF:763528 Max relations in full relation-set: 28 Initial matrix: 631880 x 763528 with sparse part having weight 59643557. Pruned matrix : 535995 x 539218 with weight 43398744. Total sieving time: 90.70 hours. Total relation processing time: 0.26 hours. Matrix solve time: 4.03 hours. Time per square root: 0.22 hours. Prototype def-par.txt line would be: snfs,164,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,48,48,2.3,2.3,100000 total time: 95.21 hours. --------- CPU info (if available) ---------- |
execution environment 実行環境 | Core 2 Duo E6300 1.86GHz, Windowa Vista) |
name 名前 | Robert Backstrom |
---|---|
date 日付 | October 8, 2007 10:10:06 UTC 2007 年 10 月 8 日 (月) 19 時 10 分 6 秒 (日本時間) |
composite number 合成数 | 116711432224977017360883726082633787948846053120532190717761735193932640441906310777526105200497999505680676600497638929152987804613749651905799240881<150> |
prime factors 素因数 | 604857162810389628774661784293336029351376392407791<51> 192957014318376632131120220747611805227589329088927241976832631934622388748514730334494973730320991<99> |
factorization results 素因数分解の結果 | Number: n N=116711432224977017360883726082633787948846053120532190717761735193932640441906310777526105200497999505680676600497638929152987804613749651905799240881 ( 150 digits) SNFS difficulty: 165 digits. Divisors found: Mon Oct 08 17:31:28 2007 prp51 factor: 604857162810389628774661784293336029351376392407791 Mon Oct 08 17:31:28 2007 prp99 factor: 192957014318376632131120220747611805227589329088927241976832631934622388748514730334494973730320991 Mon Oct 08 17:31:28 2007 elapsed time 01:42:50 (Msieve 1.28) Version: GGNFS-0.77.1-20060513-athlon-xp Total time: 53.19 hours. Scaled time: 63.34 units (timescale=1.191). Factorization parameters were as follows: name: KA_5_9_163_3 n: 116711432224977017360883726082633787948846053120532190717761735193932640441906310777526105200497999505680676600497638929152987804613749651905799240881 skew: 1.63 deg: 5 c5: 3 c0: -35 m: 1000000000000000000000000000000000 type: snfs rlim: 3000000 alim: 3000000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 3000000/3000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved special-q in [100000, 2600000) Primes: RFBsize:216816, AFBsize:216606, largePrimes:7376363 encountered Relations: rels:6846162, finalFF:475104 Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Total sieving time: 52.94 hours. Total relation processing time: 0.25 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,165,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000 total time: 53.19 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3200+ |
name 名前 | Robert Backstrom |
---|---|
date 日付 | May 3, 2008 19:02:58 UTC 2008 年 5 月 4 日 (日) 4 時 2 分 58 秒 (日本時間) |
composite number 合成数 | 9131426437483018250616136976167125291747020858040915201947647855343618380368524095147817529154557716728675938758146459509803<124> |
prime factors 素因数 | 89114521059015530309415870009443429755507579670159234491<56> 102468445422444548672703238249307270954451352766414703365751873047633<69> |
factorization results 素因数分解の結果 | Number: n N=9131426437483018250616136976167125291747020858040915201947647855343618380368524095147817529154557716728675938758146459509803 ( 124 digits) SNFS difficulty: 165 digits. Divisors found: Sun May 04 04:55:30 2008 prp56 factor: 89114521059015530309415870009443429755507579670159234491 Sun May 04 04:55:30 2008 prp69 factor: 102468445422444548672703238249307270954451352766414703365751873047633 Sun May 04 04:55:30 2008 elapsed time 01:53:48 (Msieve 1.34) Version: GGNFS-0.77.1-20051202-athlon Total time: 63.25 hours. Scaled time: 91.53 units (timescale=1.447). Factorization parameters were as follows: name: KA_5_9_164_3 n: 9131426437483018250616136976167125291747020858040915201947647855343618380368524095147817529154557716728675938758146459509803 skew: 1.03 deg: 5 c5: 6 c0: -7 m: 1000000000000000000000000000000000 type: snfs rlim: 3000000 alim: 3000000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 3000000/3000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved special-q in [100000, 3300149) Primes: RFBsize:216816, AFBsize:217096, largePrimes:7508847 encountered Relations: rels:6918012, finalFF:470957 Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Total sieving time: 62.98 hours. Total relation processing time: 0.28 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,165,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000 total time: 63.25 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3400+ |
name 名前 | Sinkiti Sibata |
---|---|
date 日付 | October 12, 2007 21:31:53 UTC 2007 年 10 月 13 日 (土) 6 時 31 分 53 秒 (日本時間) |
composite number 合成数 | 59563419388910720197810859969956349938363680093704772757910598946408447555545711050233081537114891883517241917857936839079<122> |
prime factors 素因数 | 1422924018199617086667469983408773956446337923324187259<55> 41859873490837916408900575837828799444368507615420908476733092182981<68> |
factorization results 素因数分解の結果 | Number: 59993_167 N=59563419388910720197810859969956349938363680093704772757910598946408447555545711050233081537114891883517241917857936839079 ( 122 digits) SNFS difficulty: 167 digits. Divisors found: r1=1422924018199617086667469983408773956446337923324187259 (pp55) r2=41859873490837916408900575837828799444368507615420908476733092182981 (pp68) Version: GGNFS-0.77.1-20060513-k8 Total time: 154.80 hours. Scaled time: 308.82 units (timescale=1.995). Factorization parameters were as follows: name: 59993_167 n: 59563419388910720197810859969956349938363680093704772757910598946408447555545711050233081537114891883517241917857936839079 m: 1000000000000000000000000000000000 c5: 600 c0: -7 skew: 0.41 type: snfs Factor base limits: 5500000/5500000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [2750000, 7450001) Primes: RFBsize:380800, AFBsize:380567, largePrimes:6136257 encountered Relations: rels:6361592, finalFF:867619 Max relations in full relation-set: 28 Initial matrix: 761433 x 867619 with sparse part having weight 66909828. Pruned matrix : 680057 x 683928 with weight 51296332. Total sieving time: 147.94 hours. Total relation processing time: 0.30 hours. Matrix solve time: 6.30 hours. Time per square root: 0.25 hours. Prototype def-par.txt line would be: snfs,167,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,48,48,2.6,2.6,100000 total time: 154.80 hours. --------- CPU info (if available) ---------- |
execution environment 実行環境 | Core 2 Duo E6300 1.86GHz, Windows Vista |
name 名前 | Robert Backstrom |
---|---|
date 日付 | October 18, 2008 07:16:23 UTC 2008 年 10 月 18 日 (土) 16 時 16 分 23 秒 (日本時間) |
composite number 合成数 | 1309879120210828994066681132598393425452886882387371219479021676852192760494238995653573474587735850307389375209623160606880841799831258125095168152211949603<157> |
prime factors 素因数 | 104668478321136247869629778050319602787493232821426679133681787<63> 12514552052547785247649358827497335463132200483914345373302430877998388248495950980295389454969<95> |
factorization results 素因数分解の結果 | Number: n N=1309879120210828994066681132598393425452886882387371219479021676852192760494238995653573474587735850307389375209623160606880841799831258125095168152211949603 ( 157 digits) SNFS difficulty: 171 digits. Divisors found: Sat Oct 18 08:27:22 2008 prp63 factor: 104668478321136247869629778050319602787493232821426679133681787 Sat Oct 18 08:27:22 2008 prp95 factor: 12514552052547785247649358827497335463132200483914345373302430877998388248495950980295389454969 Sat Oct 18 08:27:23 2008 elapsed time 02:57:46 (Msieve 1.38) Version: GGNFS-0.77.1-20051202-athlon Total time: 7.18 hours. Scaled time: 14.01 units (timescale=1.951). Factorization parameters were as follows: name: KA_5_9_170_3 n: 1309879120210828994066681132598393425452886882387371219479021676852192760494238995653573474587735850307389375209623160606880841799831258125095168152211949603 type: snfs skew: 0.65 deg: 5 c5: 60 c0: -7 m: 10000000000000000000000000000000000 rlim: 6200000 alim: 6200000 lpbr: 28 lpba: 28 mfbr: 52 mfba: 52 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 6200000/6200000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 52/52 Sieved special-q in [100000, 2100001) Primes: RFBsize:425648, AFBsize:426177, largePrimes:13318679 encountered Relations: rels:12554588, finalFF:860203 Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Total sieving time: 6.87 hours. Total relation processing time: 0.31 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,171,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,52,52,2.5,2.5,100000 total time: 7.18 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 | October 3, 2007 09:00:00 UTC 2007 年 10 月 3 日 (水) 18 時 0 分 0 秒 (日本時間) |
name 名前 | matsui |
---|---|
date 日付 | April 28, 2009 22:35:10 UTC 2009 年 4 月 29 日 (水) 7 時 35 分 10 秒 (日本時間) |
composite number 合成数 | 44732647371690177676556686975116849751041565641321994088050866177437636038751129875566338175972264890219757780761885559854944409552577729082119380134429900275839941<164> |
prime factors 素因数 | 254106107960663411887642298189807618950496854389331792179242251<63> 176039244907150995933870857374771574815002400239328663586454894500763717483116064141859499252833070191<102> |
factorization results 素因数分解の結果 | N=44732647371690177676556686975116849751041565641321994088050866177437636038751129875566338175972264890219757780761885559854944409552577729082119380134429900275839941 ( 164 digits) SNFS difficulty: 175 digits. Divisors found: r1=254106107960663411887642298189807618950496854389331792179242251 (pp63) r2=176039244907150995933870857374771574815002400239328663586454894500763717483116064141859499252833070191 (pp102) Version: GGNFS-0.77.1-20060722-nocona |
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 | October 3, 2007 09:00:00 UTC 2007 年 10 月 3 日 (水) 18 時 0 分 0 秒 (日本時間) |
name 名前 | Warut Roonguthai |
---|---|
date 日付 | September 22, 2011 14:09:08 UTC 2011 年 9 月 22 日 (木) 23 時 9 分 8 秒 (日本時間) |
composite number 合成数 | 144824307451005537754314935305183388450196397418380764967934103055855613216826148939388929156884000728842863708858967975027105676416742653415197899542423<153> |
prime factors 素因数 | 53498614775444400440722161697184497031848799093664707502336807437<65> 2707066492448308746177376337283838766946249819732813277565648978401357591107953204777779<88> |
factorization results 素因数分解の結果 | N = 144824307451005537754314935305183388450196397418380764967934103055855613216826148939388929156884000728842863708858967975027105676416742653415197899542423 (153 digits) SNFS difficulty: 176 digits. Divisors found: r1=53498614775444400440722161697184497031848799093664707502336807437 (pp65) r2=2707066492448308746177376337283838766946249819732813277565648978401357591107953204777779 (pp88) Version: Msieve v. 1.47 Total time: 28.85 hours. Factorization parameters were as follows: name: 6*10^174-7 n: 144824307451005537754314935305183388450196397418380764967934103055855613216826148939388929156884000728842863708858967975027105676416742653415197899542423 Y0: 100000000000000000000000000000000000 Y1: -1 c0: -35 c1: 0 c2: 0 c3: 0 c4: 0 c5: 3 skew: 1.63 type: snfs Factor base limits: 6000000/6000000 Large primes per side: 3 Large prime bits: 28/28 Sieved rational special-q in [0, 0) Total raw relations: 19748332 Relations: 2153724 relations Pruned matrix : 1223934 x 1224161 Polynomial selection time: 0.00 hours. Total sieving time: 25.53 hours. Total relation processing time: 0.13 hours. Matrix solve time: 3.12 hours. time per square root: 0.06 hours. Prototype def-par.txt line would be: snfs,176,5,0,0,0,0,0,0,0,0,6000000,6000000,28,28,55,55,2.5,2.5,100000 total time: 28.85 hours. Intel64 Family 6 Model 37 Stepping 5, GenuineIntel Windows-7-6.1.7600 processors: 4, speed: 2.53GHz |
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 | October 3, 2007 09:00:00 UTC 2007 年 10 月 3 日 (水) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 1000 | Lionel Debroux | October 9, 2009 11:17:04 UTC 2009 年 10 月 9 日 (金) 20 時 17 分 4 秒 (日本時間) | |
40 | 3e6 | 2063 | Wataru Sakai | April 11, 2010 05:26:20 UTC 2010 年 4 月 11 日 (日) 14 時 26 分 20 秒 (日本時間) |
name 名前 | Warut Roonguthai |
---|---|
date 日付 | March 22, 2012 06:39:53 UTC 2012 年 3 月 22 日 (木) 15 時 39 分 53 秒 (日本時間) |
composite number 合成数 | 19049332837491856459883214063436468854420636919230315373825493612016335134325754238607156281569170445295875058645340269359133743005089740737293<143> |
prime factors 素因数 | 7611452462480719754698423408128729268753947354423248202476309<61> 2502719806947767495392444807342013129478911402644681738926239081377202015355223577<82> |
factorization results 素因数分解の結果 | N = 19049332837491856459883214063436468854420636919230315373825493612016335134325754238607156281569170445295875058645340269359133743005089740737293 (143 digits) SNFS difficulty: 178 digits. Divisors found: r1=7611452462480719754698423408128729268753947354423248202476309 (pp61) r2=2502719806947767495392444807342013129478911402644681738926239081377202015355223577 (pp82) Version: Msieve v. 1.48 Total time: 41.46 hours. Factorization parameters were as follows: name: 6*10^177-7 n: 19049332837491856459883214063436468854420636919230315373825493612016335134325754238607156281569170445295875058645340269359133743005089740737293 Y0: 100000000000000000000000000000000000 Y1: -1 c0: -7 c1: 0 c2: 0 c3: 0 c4: 0 c5: 600 skew: 0.41 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: 21132185 Relations: 2669964 relations Pruned matrix : 1523769 x 1523994 Polynomial selection time: 0.00 hours. Total sieving time: 37.58 hours. Total relation processing time: 0.13 hours. Matrix solve time: 3.02 hours. time per square root: 0.73 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: 41.46 hours. Intel64 Family 6 Model 42 Stepping 7, GenuineIntel Windows-7-6.1.7601-SP1 processors: 4, speed: 2.29GHz |
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 | October 3, 2007 09:00:00 UTC 2007 年 10 月 3 日 (水) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 300 | Dmitry Domanov | May 31, 2011 06:42:22 UTC 2011 年 5 月 31 日 (火) 15 時 42 分 22 秒 (日本時間) | |
45 | 11e6 | 5000 | Wataru Sakai | October 24, 2011 00:57:06 UTC 2011 年 10 月 24 日 (月) 9 時 57 分 6 秒 (日本時間) |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | May 30, 2011 06:26:28 UTC 2011 年 5 月 30 日 (月) 15 時 26 分 28 秒 (日本時間) |
composite number 合成数 | 106840648592841755572803711737105552838179633474848387733535180910527524906131990198694367646294168430133824683915854350637494536403928329774007858079486914769<159> |
prime factors 素因数 | 25555014258829643658277421177<29> 4180809586358446140257910806830493899106225043016968016645041153773105641974794136065662144907018301006224616025086293137262447897<130> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=421405069 Step 1 took 60292ms ********** Factor found in step 1: 25555014258829643658277421177 Found probable prime factor of 29 digits: 25555014258829643658277421177 Probable prime cofactor 4180809586358446140257910806830493899106225043016968016645041153773105641974794136065662144907018301006224616025086293137262447897 has 130 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 | October 3, 2007 09:00:00 UTC 2007 年 10 月 3 日 (水) 18 時 0 分 0 秒 (日本時間) |
name 名前 | Hugo Platzer |
---|---|
date 日付 | August 26, 2008 12:12:21 UTC 2008 年 8 月 26 日 (火) 21 時 12 分 21 秒 (日本時間) |
composite number 合成数 | 60946499131512387375948479892734161528538198218330675388787875709772771135738011315733338750799922801101100084309323798592135870062063851615590114477840868690767621156561398519<176> |
prime factors 素因数 | 4830487850130825355136992625082278853531328717363811995759451<61> 12617048427077972576764760920138324767170820384685368004188695290274577720048489648872812603297601032348850349016469<116> |
factorization results 素因数分解の結果 | Tue Aug 26 11:38:06 2008 Tue Aug 26 11:38:06 2008 Tue Aug 26 11:38:06 2008 Msieve v. 1.36 Tue Aug 26 11:38:06 2008 random seeds: d67440d2 74216d9f Tue Aug 26 11:38:06 2008 factoring 60946499131512387375948479892734161528538198218330675388787875709772771135738011315733338750799922801101100084309323798592135870062063851615590114477840868690767621156561398519 (176 digits) Tue Aug 26 11:38:08 2008 no P-1/P+1/ECM available, skipping Tue Aug 26 11:38:08 2008 commencing number field sieve (176-digit input) Tue Aug 26 11:38:08 2008 R0: -1000000000000000000000000000000000000 Tue Aug 26 11:38:08 2008 R1: 1 Tue Aug 26 11:38:08 2008 A0: -7 Tue Aug 26 11:38:08 2008 A1: 0 Tue Aug 26 11:38:08 2008 A2: 0 Tue Aug 26 11:38:08 2008 A3: 0 Tue Aug 26 11:38:08 2008 A4: 0 Tue Aug 26 11:38:08 2008 A5: 6 Tue Aug 26 11:38:08 2008 size score = 2.794913e-12, Murphy alpha = 1.791017, combined = 1.538481e-12 Tue Aug 26 11:38:08 2008 generating factor base Tue Aug 26 11:38:11 2008 factor base complete: Tue Aug 26 11:38:11 2008 539777 rational roots (max prime = 7999993) Tue Aug 26 11:38:11 2008 539975 algebraic roots (max prime = 7999993) Tue Aug 26 11:38:12 2008 a range: [-60000000, 60000000] Tue Aug 26 11:38:12 2008 b range: [1, 4294967295] Tue Aug 26 11:38:12 2008 number of hash buckets: 123 Tue Aug 26 11:38:12 2008 sieve block size: 65536 Tue Aug 26 11:38:12 2008 Tue Aug 26 11:38:12 2008 maximum RFB prime: 7999993 Tue Aug 26 11:38:12 2008 RFB entries: 539777 Tue Aug 26 11:38:12 2008 medium RFB entries: 6542 Tue Aug 26 11:38:12 2008 resieved RFB entries: 6374 Tue Aug 26 11:38:12 2008 small RFB prime powers: 28 Tue Aug 26 11:38:12 2008 projective RFB roots: 0 Tue Aug 26 11:38:12 2008 RFB trial factoring cutoff: 60 or 89 bits Tue Aug 26 11:38:12 2008 single large prime RFB range: 23 - 27 bits Tue Aug 26 11:38:12 2008 double large prime RFB range: 46 - 52 bits Tue Aug 26 11:38:12 2008 triple large prime RFB range: 72 - 79 bits Tue Aug 26 11:38:12 2008 Tue Aug 26 11:38:12 2008 maximum AFB prime: 7999993 Tue Aug 26 11:38:12 2008 AFB entries: 539975 Tue Aug 26 11:38:12 2008 medium AFB entries: 6517 Tue Aug 26 11:38:12 2008 resieved AFB entries: 6364 Tue Aug 26 11:38:12 2008 small AFB prime powers: 6 Tue Aug 26 11:38:12 2008 projective AFB roots: 2 Tue Aug 26 11:38:12 2008 AFB trial factoring cutoff: 60 or 89 bits Tue Aug 26 11:38:12 2008 single large prime AFB range: 23 - 27 bits Tue Aug 26 11:38:12 2008 double large prime AFB range: 46 - 52 bits Tue Aug 26 11:38:12 2008 triple large prime AFB range: 72 - 79 bits Tue Aug 26 11:38:12 2008 Tue Aug 26 11:38:12 2008 multiplying 1523913 primes from 7999993 to 33554432 Tue Aug 26 11:38:16 2008 multiply complete, product has 36865603 bits Tue Aug 26 11:38:44 2008 completed b = 3, found 172 relations Tue Aug 26 11:38:44 2008 elapsed time 00:00:38 Tue Aug 26 11:43:18 2008 Tue Aug 26 11:43:18 2008 Tue Aug 26 11:43:18 2008 Msieve v. 1.36 Tue Aug 26 11:43:18 2008 random seeds: 0d302a09 c30c0b1f Tue Aug 26 11:43:18 2008 factoring 60946499131512387375948479892734161528538198218330675388787875709772771135738011315733338750799922801101100084309323798592135870062063851615590114477840868690767621156561398519 (176 digits) Tue Aug 26 11:43:20 2008 no P-1/P+1/ECM available, skipping Tue Aug 26 11:43:20 2008 commencing number field sieve (176-digit input) Tue Aug 26 11:43:20 2008 R0: -1000000000000000000000000000000000000 Tue Aug 26 11:43:20 2008 R1: 1 Tue Aug 26 11:43:20 2008 A0: -7 Tue Aug 26 11:43:20 2008 A1: 0 Tue Aug 26 11:43:20 2008 A2: 0 Tue Aug 26 11:43:20 2008 A3: 0 Tue Aug 26 11:43:20 2008 A4: 0 Tue Aug 26 11:43:20 2008 A5: 6 Tue Aug 26 11:43:20 2008 size score = 2.794913e-12, Murphy alpha = 1.791017, combined = 1.538481e-12 Tue Aug 26 11:43:46 2008 restarting with 11607220 relations Tue Aug 26 11:43:48 2008 added 27651 free relations Tue Aug 26 11:43:48 2008 Tue Aug 26 11:43:48 2008 commencing relation filtering Tue Aug 26 11:43:48 2008 commencing duplicate removal, pass 1 Tue Aug 26 11:44:34 2008 error -9 reading relation 6604032 Tue Aug 26 11:44:41 2008 error -11 reading relation 7631047 Tue Aug 26 11:44:48 2008 error -9 reading relation 8631315 Tue Aug 26 11:44:55 2008 error -5 reading relation 9591341 Tue Aug 26 11:44:58 2008 error -11 reading relation 10123854 Tue Aug 26 11:45:02 2008 error -9 reading relation 10634976 Tue Aug 26 11:45:05 2008 error -15 reading relation 11125754 Tue Aug 26 11:45:09 2008 error -11 reading relation 11607220 Tue Aug 26 11:45:09 2008 found 1494552 hash collisions in 11634863 relations Tue Aug 26 11:45:09 2008 commencing duplicate removal, pass 2 Tue Aug 26 11:45:18 2008 found 1523897 duplicates and 10110966 unique relations Tue Aug 26 11:45:18 2008 memory use: 65.3 MB Tue Aug 26 11:45:20 2008 ignoring smallest 592937 rational and 593231 algebraic ideals Tue Aug 26 11:45:20 2008 filtering rational ideals above 8847360 Tue Aug 26 11:45:20 2008 filtering algebraic ideals above 8847360 Tue Aug 26 11:45:20 2008 need 1779252 more relations than ideals Tue Aug 26 11:45:20 2008 commencing singleton removal, pass 1 Tue Aug 26 11:46:32 2008 relations with 0 large ideals: 97035 Tue Aug 26 11:46:32 2008 relations with 1 large ideals: 975911 Tue Aug 26 11:46:32 2008 relations with 2 large ideals: 3729723 Tue Aug 26 11:46:32 2008 relations with 3 large ideals: 4605398 Tue Aug 26 11:46:32 2008 relations with 4 large ideals: 676207 Tue Aug 26 11:46:32 2008 relations with 5 large ideals: 26692 Tue Aug 26 11:46:32 2008 relations with 6 large ideals: 0 Tue Aug 26 11:46:32 2008 relations with 7+ large ideals: 0 Tue Aug 26 11:46:32 2008 10110966 relations and about 7977776 large ideals Tue Aug 26 11:46:32 2008 commencing singleton removal, pass 2 Tue Aug 26 11:47:43 2008 found 3829552 singletons Tue Aug 26 11:47:43 2008 current dataset: 6281414 relations and about 3704726 large ideals Tue Aug 26 11:47:43 2008 commencing singleton removal, pass 3 Tue Aug 26 11:48:29 2008 found 415704 singletons Tue Aug 26 11:48:29 2008 current dataset: 5865710 relations and about 3281204 large ideals Tue Aug 26 11:48:29 2008 commencing singleton removal, final pass Tue Aug 26 11:49:15 2008 memory use: 97.1 MB Tue Aug 26 11:49:15 2008 commencing in-memory singleton removal Tue Aug 26 11:49:15 2008 begin with 5865710 relations and 3465322 unique ideals Tue Aug 26 11:49:18 2008 reduce to 5552191 relations and 3148643 ideals in 7 passes Tue Aug 26 11:49:18 2008 max relations containing the same ideal: 27 Tue Aug 26 11:49:20 2008 removing 981791 relations and 669643 ideals in 312148 cliques Tue Aug 26 11:49:21 2008 commencing in-memory singleton removal Tue Aug 26 11:49:21 2008 begin with 4570400 relations and 3148643 unique ideals Tue Aug 26 11:49:23 2008 reduce to 4538232 relations and 2445242 ideals in 5 passes Tue Aug 26 11:49:23 2008 max relations containing the same ideal: 23 Tue Aug 26 11:49:24 2008 removing 695031 relations and 382883 ideals in 312148 cliques Tue Aug 26 11:49:25 2008 commencing in-memory singleton removal Tue Aug 26 11:49:25 2008 begin with 3843201 relations and 2445242 unique ideals Tue Aug 26 11:49:26 2008 reduce to 3788806 relations and 2003161 ideals in 5 passes Tue Aug 26 11:49:26 2008 max relations containing the same ideal: 21 Tue Aug 26 11:49:28 2008 filtering rational ideals above 720000 Tue Aug 26 11:49:28 2008 filtering algebraic ideals above 720000 Tue Aug 26 11:49:28 2008 need 116061 more relations than ideals Tue Aug 26 11:49:28 2008 commencing singleton removal, final pass Tue Aug 26 11:50:21 2008 keeping 3928915 ideals with weight <= 20, new excess is 405849 Tue Aug 26 11:50:25 2008 memory use: 173.7 MB Tue Aug 26 11:50:25 2008 commencing in-memory singleton removal Tue Aug 26 11:50:26 2008 begin with 5552191 relations and 3928915 unique ideals Tue Aug 26 11:50:29 2008 reduce to 5551567 relations and 3928291 ideals in 4 passes Tue Aug 26 11:50:29 2008 max relations containing the same ideal: 20 Tue Aug 26 11:50:32 2008 removing 1158851 relations and 758851 ideals in 400000 cliques Tue Aug 26 11:50:33 2008 commencing in-memory singleton removal Tue Aug 26 11:50:33 2008 begin with 4392716 relations and 3928291 unique ideals Tue Aug 26 11:50:37 2008 reduce to 4330937 relations and 3103156 ideals in 6 passes Tue Aug 26 11:50:37 2008 max relations containing the same ideal: 20 Tue Aug 26 11:50:39 2008 removing 880038 relations and 480038 ideals in 400000 cliques Tue Aug 26 11:50:40 2008 commencing in-memory singleton removal Tue Aug 26 11:50:40 2008 begin with 3450899 relations and 3103156 unique ideals Tue Aug 26 11:50:42 2008 reduce to 3381301 relations and 2546450 ideals in 5 passes Tue Aug 26 11:50:42 2008 max relations containing the same ideal: 20 Tue Aug 26 11:50:44 2008 removing 775867 relations and 411801 ideals in 364066 cliques Tue Aug 26 11:50:45 2008 commencing in-memory singleton removal Tue Aug 26 11:50:45 2008 begin with 2605434 relations and 2546450 unique ideals Tue Aug 26 11:50:47 2008 reduce to 2540585 relations and 2063741 ideals in 6 passes Tue Aug 26 11:50:47 2008 max relations containing the same ideal: 19 Tue Aug 26 11:50:48 2008 relations with 0 large ideals: 7566 Tue Aug 26 11:50:48 2008 relations with 1 large ideals: 73927 Tue Aug 26 11:50:48 2008 relations with 2 large ideals: 377040 Tue Aug 26 11:50:48 2008 relations with 3 large ideals: 723326 Tue Aug 26 11:50:48 2008 relations with 4 large ideals: 726199 Tue Aug 26 11:50:48 2008 relations with 5 large ideals: 427856 Tue Aug 26 11:50:48 2008 relations with 6 large ideals: 164504 Tue Aug 26 11:50:48 2008 relations with 7+ large ideals: 40167 Tue Aug 26 11:50:48 2008 commencing 2-way merge Tue Aug 26 11:50:50 2008 reduce to 2074143 relation sets and 1597299 unique ideals Tue Aug 26 11:50:50 2008 commencing full merge Tue Aug 26 11:51:16 2008 memory use: 159.8 MB Tue Aug 26 11:51:16 2008 found 1023946 cycles, need 953499 Tue Aug 26 11:51:16 2008 weight of 953499 cycles is about 67027131 (70.30/cycle) Tue Aug 26 11:51:16 2008 distribution of cycle lengths: Tue Aug 26 11:51:16 2008 1 relations: 27101 Tue Aug 26 11:51:16 2008 2 relations: 92836 Tue Aug 26 11:51:16 2008 3 relations: 126795 Tue Aug 26 11:51:16 2008 4 relations: 136910 Tue Aug 26 11:51:16 2008 5 relations: 133726 Tue Aug 26 11:51:16 2008 6 relations: 116981 Tue Aug 26 11:51:16 2008 7 relations: 97766 Tue Aug 26 11:51:16 2008 8 relations: 76828 Tue Aug 26 11:51:16 2008 9 relations: 58371 Tue Aug 26 11:51:16 2008 10+ relations: 86185 Tue Aug 26 11:51:16 2008 heaviest cycle: 15 relations Tue Aug 26 11:51:16 2008 commencing cycle optimization Tue Aug 26 11:51:17 2008 start with 5257576 relations Tue Aug 26 11:51:28 2008 pruned 115780 relations Tue Aug 26 11:51:28 2008 memory use: 158.4 MB Tue Aug 26 11:51:28 2008 distribution of cycle lengths: Tue Aug 26 11:51:28 2008 1 relations: 27101 Tue Aug 26 11:51:28 2008 2 relations: 94079 Tue Aug 26 11:51:28 2008 3 relations: 130300 Tue Aug 26 11:51:28 2008 4 relations: 140494 Tue Aug 26 11:51:28 2008 5 relations: 138881 Tue Aug 26 11:51:28 2008 6 relations: 120218 Tue Aug 26 11:51:28 2008 7 relations: 100012 Tue Aug 26 11:51:28 2008 8 relations: 76349 Tue Aug 26 11:51:28 2008 9 relations: 56039 Tue Aug 26 11:51:28 2008 10+ relations: 70026 Tue Aug 26 11:51:28 2008 heaviest cycle: 15 relations Tue Aug 26 11:51:29 2008 Tue Aug 26 11:51:29 2008 commencing linear algebra Tue Aug 26 11:51:30 2008 read 953499 cycles Tue Aug 26 11:51:31 2008 cycles contain 2367107 unique relations Tue Aug 26 11:51:56 2008 read 2367107 relations Tue Aug 26 11:52:00 2008 using 32 quadratic characters above 134213508 Tue Aug 26 11:52:21 2008 building initial matrix Tue Aug 26 11:52:40 2008 Tue Aug 26 11:52:40 2008 Tue Aug 26 11:52:40 2008 Msieve v. 1.36 Tue Aug 26 11:52:40 2008 random seeds: 091c43c1 ad0d2b3e Tue Aug 26 11:52:40 2008 factoring 60946499131512387375948479892734161528538198218330675388787875709772771135738011315733338750799922801101100084309323798592135870062063851615590114477840868690767621156561398519 (176 digits) Tue Aug 26 11:52:42 2008 no P-1/P+1/ECM available, skipping Tue Aug 26 11:52:42 2008 commencing number field sieve (176-digit input) Tue Aug 26 11:52:42 2008 R0: -1000000000000000000000000000000000000 Tue Aug 26 11:52:42 2008 R1: 1 Tue Aug 26 11:52:42 2008 A0: -7 Tue Aug 26 11:52:42 2008 A1: 0 Tue Aug 26 11:52:42 2008 A2: 0 Tue Aug 26 11:52:42 2008 A3: 0 Tue Aug 26 11:52:42 2008 A4: 0 Tue Aug 26 11:52:42 2008 A5: 6 Tue Aug 26 11:52:42 2008 size score = 2.794913e-12, Murphy alpha = 1.791017, combined = 1.538481e-12 Tue Aug 26 11:52:42 2008 Tue Aug 26 11:52:42 2008 commencing linear algebra Tue Aug 26 11:52:42 2008 read 953499 cycles Tue Aug 26 11:52:44 2008 cycles contain 2367107 unique relations Tue Aug 26 11:53:13 2008 read 2367107 relations Tue Aug 26 11:53:17 2008 using 32 quadratic characters above 134213508 Tue Aug 26 11:53:38 2008 building initial matrix Tue Aug 26 11:54:12 2008 memory use: 311.7 MB Tue Aug 26 11:54:14 2008 read 953499 cycles Tue Aug 26 11:54:16 2008 matrix is 953311 x 953499 (283.2 MB) with weight 89798014 (94.18/col) Tue Aug 26 11:54:16 2008 sparse part has weight 63743099 (66.85/col) Tue Aug 26 11:54:24 2008 filtering completed in 2 passes Tue Aug 26 11:54:24 2008 matrix is 952824 x 953012 (283.1 MB) with weight 89772381 (94.20/col) Tue Aug 26 11:54:24 2008 sparse part has weight 63730580 (66.87/col) Tue Aug 26 11:54:34 2008 read 953012 cycles Tue Aug 26 11:54:34 2008 matrix is 952824 x 953012 (283.1 MB) with weight 89772381 (94.20/col) Tue Aug 26 11:54:34 2008 sparse part has weight 63730580 (66.87/col) Tue Aug 26 11:54:35 2008 saving the first 48 matrix rows for later Tue Aug 26 11:54:35 2008 matrix is 952776 x 953012 (270.1 MB) with weight 68365485 (71.74/col) Tue Aug 26 11:54:35 2008 sparse part has weight 61268317 (64.29/col) Tue Aug 26 11:54:35 2008 matrix includes 64 packed rows Tue Aug 26 11:54:35 2008 using block size 65536 for processor cache size 4096 kB Tue Aug 26 11:54:40 2008 commencing Lanczos iteration (4 threads) Tue Aug 26 11:54:40 2008 memory use: 279.2 MB Tue Aug 26 13:05:42 2008 lanczos halted after 15067 iterations (dim = 952776) Tue Aug 26 13:05:44 2008 recovered 49 nontrivial dependencies Tue Aug 26 13:05:44 2008 elapsed time 01:13:04 Tue Aug 26 13:16:40 2008 Tue Aug 26 13:16:40 2008 Tue Aug 26 13:16:40 2008 Msieve v. 1.36 Tue Aug 26 13:16:40 2008 random seeds: d1ae08a7 def52c6a Tue Aug 26 13:16:40 2008 factoring 60946499131512387375948479892734161528538198218330675388787875709772771135738011315733338750799922801101100084309323798592135870062063851615590114477840868690767621156561398519 (176 digits) Tue Aug 26 13:16:42 2008 no P-1/P+1/ECM available, skipping Tue Aug 26 13:16:42 2008 commencing number field sieve (176-digit input) Tue Aug 26 13:16:42 2008 R0: -1000000000000000000000000000000000000 Tue Aug 26 13:16:42 2008 R1: 1 Tue Aug 26 13:16:42 2008 A0: -7 Tue Aug 26 13:16:42 2008 A1: 0 Tue Aug 26 13:16:42 2008 A2: 0 Tue Aug 26 13:16:42 2008 A3: 0 Tue Aug 26 13:16:42 2008 A4: 0 Tue Aug 26 13:16:42 2008 A5: 6 Tue Aug 26 13:16:42 2008 size score = 2.794913e-12, Murphy alpha = 1.791017, combined = 1.538481e-12 Tue Aug 26 13:16:42 2008 Tue Aug 26 13:16:42 2008 commencing square root phase Tue Aug 26 13:16:42 2008 reading relations for dependency 1 Tue Aug 26 13:16:42 2008 read 476023 cycles Tue Aug 26 13:16:43 2008 cycles contain 1540727 unique relations Tue Aug 26 13:17:11 2008 read 1540727 relations Tue Aug 26 13:17:20 2008 multiplying 2569832 relations Tue Aug 26 13:20:01 2008 multiply complete, coefficients have about 64.69 million bits Tue Aug 26 13:20:03 2008 initial square root is modulo 1936936291 Tue Aug 26 13:25:03 2008 reading relations for dependency 2 Tue Aug 26 13:25:03 2008 read 476612 cycles Tue Aug 26 13:25:04 2008 cycles contain 1542603 unique relations Tue Aug 26 13:25:25 2008 read 1542603 relations Tue Aug 26 13:25:34 2008 multiplying 2570336 relations Tue Aug 26 13:28:16 2008 multiply complete, coefficients have about 64.70 million bits Tue Aug 26 13:28:17 2008 initial square root is modulo 1946412371 Tue Aug 26 13:33:19 2008 reading relations for dependency 3 Tue Aug 26 13:33:19 2008 read 476357 cycles Tue Aug 26 13:33:20 2008 cycles contain 1541319 unique relations Tue Aug 26 13:33:33 2008 read 1541319 relations Tue Aug 26 13:33:41 2008 multiplying 2568952 relations Tue Aug 26 13:36:23 2008 multiply complete, coefficients have about 64.67 million bits Tue Aug 26 13:36:24 2008 initial square root is modulo 1924029001 Tue Aug 26 13:41:25 2008 prp61 factor: 4830487850130825355136992625082278853531328717363811995759451 Tue Aug 26 13:41:25 2008 prp116 factor: 12617048427077972576764760920138324767170820384685368004188695290274577720048489648872812603297601032348850349016469 Tue Aug 26 13:41:25 2008 elapsed time 00:24:45 |
software ソフトウェア | Msieve-1.36 optimized 64-bit linux lattice siever from Greg Childers |
execution environment 実行環境 | ubuntu-8.0.4 64-bit(hardy) Intel Core 2 Quad Q6600 @2.4Ghz |
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 | October 3, 2007 09:00:00 UTC 2007 年 10 月 3 日 (水) 18 時 0 分 0 秒 (日本時間) |
name 名前 | Robert Backstrom |
---|---|
date 日付 | February 9, 2012 05:09:31 UTC 2012 年 2 月 9 日 (木) 14 時 9 分 31 秒 (日本時間) |
composite number 合成数 | 340440914804751462847842330586700586947654395133665335836397613982583928364844535773701261602916131116881455615162782946670320234004418188255147128918715867239867624264477<171> |
prime factors 素因数 | 89899333984936105365387819186986113099<38> 1289747829959069521869855916958833257526365034799135453<55> 2936165076289167327584889888926912970057218559655263629096011171234579616000291<79> |
factorization results 素因数分解の結果 | Number: n N=340440914804751462847842330586700586947654395133665335836397613982583928364844535773701261602916131116881455615162782946670320234004418188255147128918715867239867624264477 ( 171 digits) SNFS difficulty: 181 digits. Divisors found: Thu Feb 9 16:06:23 2012 prp38 factor: 89899333984936105365387819186986113099 Thu Feb 9 16:06:23 2012 prp55 factor: 1289747829959069521869855916958833257526365034799135453 Thu Feb 9 16:06:23 2012 prp79 factor: 2936165076289167327584889888926912970057218559655263629096011171234579616000291 Thu Feb 9 16:06:23 2012 elapsed time 02:55:11 (Msieve 1.44 - dependency 4) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=1.660). Factorization parameters were as follows: name: KA_59993_181 n: 340440914804751462847842330586700586947654395133665335836397613982583928364844535773701261602916131116881455615162782946670320234004418188255147128918715867239867624264477 m: 1000000000000000000000000000000000000 deg: 5 c5: 60 c0: -7 skew: 0.65 type: snfs lss: 1 rlim: 15000000 alim: 15000000 lpbr: 29 lpba: 29 mfbr: 57 mfba: 57 rlambda: 2.5 alambda: 2.5 Factor base limits: 15000000/15000000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 57/57 Sieved special-q in [100000, 9000000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 5798520 hash collisions in 76777237 relations (73793555 unique) Msieve: matrix is 1097317 x 1097565 (303.1 MB) Total sieving time: 0.00 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,181,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7 CPU 930 @ 2.80GHz stepping 05 CPU1: Intel(R) Core(TM) i7 CPU 930 @ 2.80GHz stepping 05 CPU2: Intel(R) Core(TM) i7 CPU 930 @ 2.80GHz stepping 05 CPU3: Intel(R) Core(TM) i7 CPU 930 @ 2.80GHz stepping 05 CPU4: Intel(R) Core(TM) i7 CPU 930 @ 2.80GHz stepping 05 CPU5: Intel(R) Core(TM) i7 CPU 930 @ 2.80GHz stepping 05 CPU6: Intel(R) Core(TM) i7 CPU 930 @ 2.80GHz stepping 05 CPU7: Intel(R) Core(TM) i7 CPU 930 @ 2.80GHz stepping 05 Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.06 BogoMIPS (lpj=2797533) Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555) Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555) Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555) Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553) Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554) Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554) Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555) Total of 8 processors activated (44760.82 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 | October 3, 2007 09:00:00 UTC 2007 年 10 月 3 日 (水) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 300 / 2336 | Dmitry Domanov | May 31, 2011 06:42:35 UTC 2011 年 5 月 31 日 (火) 15 時 42 分 35 秒 (日本時間) |
name 名前 | Ignacio Santos |
---|---|
date 日付 | October 1, 2013 20:34:32 UTC 2013 年 10 月 2 日 (水) 5 時 34 分 32 秒 (日本時間) |
composite number 合成数 | 157092932127311105076665232199918705526549017639297157081198334873673530961798873925465569119296702732899550039020599757450802035703764135054078632315618451<156> |
prime factors 素因数 | 1896512920414855022583134389866614561<37> |
composite cofactor 合成数の残り | 82832513523265436445512411703985946089866563631885680600597058231893937896593786418592915456589493505212403224209629491<119> |
factorization results 素因数分解の結果 | Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3339309730 Step 1 took 25312ms Step 2 took 15547ms ********** Factor found in step 2: 1896512920414855022583134389866614561 Found probable prime factor of 37 digits: 1896512920414855022583134389866614561 Composite cofactor 82832513523265436445512411703985946089866563631885680600597058231893937896593786418592915456589493505212403224209629491 has 119 digits |
software ソフトウェア | GMP-ECM 7.0 |
name 名前 | Erik Branger |
---|---|
date 日付 | October 22, 2013 12:43:46 UTC 2013 年 10 月 22 日 (火) 21 時 43 分 46 秒 (日本時間) |
composite number 合成数 | 82832513523265436445512411703985946089866563631885680600597058231893937896593786418592915456589493505212403224209629491<119> |
prime factors 素因数 | 119444117471123006175538348935209835922752509<45> 693483406943763074018225167605758299531812440746406449298386871209348597999<75> |
factorization results 素因数分解の結果 | Number: 59993_182 N = 82832513523265436445512411703985946089866563631885680600597058231893937896593786418592915456589493505212403224209629491 (119 digits) Divisors found: r1=119444117471123006175538348935209835922752509 (pp45) r2=693483406943763074018225167605758299531812440746406449298386871209348597999 (pp75) Version: Msieve v. 1.51 (SVN 845) Total time: 15.76 hours. Factorization parameters were as follows: # Murphy_E = 3.183e-10, selected by Erik Branger n: 82832513523265436445512411703985946089866563631885680600597058231893937896593786418592915456589493505212403224209629491 Y0: -91692529969791981121447 Y1: 144570077087 c0: -507840518163786796096940160 c1: 967203352165659083444352 c2: -34262207663805270992 c3: -714468034318307 c4: 3858871180 c5: 12780 skew: 83361.51 type: gnfs # selected mechanically rlim: 4900000 alim: 4900000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.5 alambda: 2.5 Factor base limits: 4900000/4900000 Large primes per side: 3 Large prime bits: 27/27 Sieved algebraic special-q in [0, 0) Total raw relations: 9382090 Relations: 1031694 relations Pruned matrix : 613252 x 613481 Polynomial selection time: 0.00 hours. Total sieving time: 15.41 hours. Total relation processing time: 0.04 hours. Matrix solve time: 0.25 hours. time per square root: 0.05 hours. Prototype def-par.txt line would be: gnfs,118,5,63,2000,2.6e-05,0.28,250,20,50000,3600,4900000,4900000,27,27,51,51,2.5,2.5,100000 total time: 15.76 hours. Intel64 Family 6 Model 60 Stepping 3, GenuineIntel Windows-7-6.1.7601-SP1 processors: 8, speed: 3.50GHz |
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 | October 3, 2007 09:00:00 UTC 2007 年 10 月 3 日 (水) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 300 | Dmitry Domanov | May 31, 2011 06:42:44 UTC 2011 年 5 月 31 日 (火) 15 時 42 分 44 秒 (日本時間) | |
45 | 11e6 | 690 / 4413 | 230 | Ignacio Santos | October 2, 2013 17:44:04 UTC 2013 年 10 月 3 日 (木) 2 時 44 分 4 秒 (日本時間) |
230 | Ignacio Santos | October 9, 2013 17:43:14 UTC 2013 年 10 月 10 日 (木) 2 時 43 分 14 秒 (日本時間) | |||
230 | Ignacio Santos | October 12, 2013 17:41:52 UTC 2013 年 10 月 13 日 (日) 2 時 41 分 52 秒 (日本時間) |
name 名前 | Jo Yeong Uk |
---|---|
date 日付 | October 5, 2007 08:45:54 UTC 2007 年 10 月 5 日 (金) 17 時 45 分 54 秒 (日本時間) |
composite number 合成数 | 5496591010807901243959700004966756355343953965432332097077840850790392390952200017975624837864532764649639543439<112> |
prime factors 素因数 | 1567828725851495950483147060696472797473131<43> 3505861909643653215337674382799814173297028903124851463841838321295469<70> |
factorization results 素因数分解の結果 | Number: 59993_185 N=5496591010807901243959700004966756355343953965432332097077840850790392390952200017975624837864532764649639543439 ( 112 digits) Divisors found: r1=1567828725851495950483147060696472797473131 (pp43) r2=3505861909643653215337674382799814173297028903124851463841838321295469 (pp70) Version: GGNFS-0.77.1-20050930-nocona Total time: 17.45 hours. Scaled time: 37.14 units (timescale=2.129). Factorization parameters were as follows: name: 59993_185 n: 5496591010807901243959700004966756355343953965432332097077840850790392390952200017975624837864532764649639543439 skew: 31918.14 # norm 4.35e+15 c5: 49500 c4: 1148015948 c3: -102222124732255 c2: -6099585714717477637 c1: 33741417547897847981555 c0: 598316031826581667570223049 # alpha -6.53 Y1: 598253464301 Y0: -2565057913790794214018 # Murphy_E 7.81e-10 # M 3628664822376311219602672466853507363069765951502221673628741042021637214537904922189021557595578069943077896990 type: gnfs rlim: 2800000 alim: 2800000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.6 alambda: 2.6 qintsize: 70000 Factor base limits: 2800000/2800000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved algebraic special-q in [1400000, 2240001) Primes: RFBsize:203362, AFBsize:203437, largePrimes:7582629 encountered Relations: rels:7467623, finalFF:565840 Max relations in full relation-set: 28 Initial matrix: 406880 x 565840 with sparse part having weight 52660477. Pruned matrix : 291699 x 293797 with weight 29738311. Polynomial selection time: 0.94 hours. Total sieving time: 15.79 hours. Total relation processing time: 0.14 hours. Matrix solve time: 0.47 hours. Time per square root: 0.11 hours. Prototype def-par.txt line would be: gnfs,111,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2800000,2800000,27,27,50,50,2.6,2.6,70000 total time: 17.45 hours. --------- CPU info (if available) ---------- Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Calibrating delay using timer specific routine.. 4684.13 BogoMIPS (lpj=2342066) Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405119) Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405124) Total of 4 processors activated (19119.96 BogoMIPS). |
execution environment 実行環境 | Core 2 Quad Q6600 |
name 名前 | Serge Batalov |
---|---|
date 日付 | January 9, 2014 05:28:33 UTC 2014 年 1 月 9 日 (木) 14 時 28 分 33 秒 (日本時間) |
composite number 合成数 | 1922540558635757708371661590092682882375780001116737165100483780589808694897884436934101020647230281214348920254766171269429442186753205233947807636088119<154> |
prime factors 素因数 | 412259044618623205200217317135691<33> |
composite cofactor 合成数の残り | 4663428452890053884719447925108332435102634049067016520851190872320413549605067944877603942767308335710983308533900195909<121> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3176142533 Step 1 took 10444ms Step 2 took 5247ms ********** Factor found in step 2: 412259044618623205200217317135691 Found probable prime factor of 33 digits: 412259044618623205200217317135691 Composite cofactor |
name 名前 | Cyp |
---|---|
date 日付 | January 14, 2014 05:19:11 UTC 2014 年 1 月 14 日 (火) 14 時 19 分 11 秒 (日本時間) |
composite number 合成数 | 4663428452890053884719447925108332435102634049067016520851190872320413549605067944877603942767308335710983308533900195909<121> |
prime factors 素因数 | 621191601891255108800185779424397210713201773373<48> 7507230359669973183883611707232379215093016535627310059290977680619000233<73> |
factorization results 素因数分解の結果 | 01/14/14 05:35:57 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/14/14 05:42:02 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/14/14 05:47:56 v1.34.3, nfs: commencing msieve filtering 01/14/14 05:50:15 v1.34.3, nfs: commencing msieve linear algebra 01/14/14 06:08:51 v1.34.3, nfs: commencing msieve sqrt 01/14/14 06:19:10 v1.34.3, prp73 = 7507230359669973183883611707232379215093016535627310059290977680619000233 01/14/14 06:19:10 v1.34.3, prp48 = 621191601891255108800185779424397210713201773373 01/14/14 06:19:10 v1.34.3, NFS elapsed time = 21288.4007 seconds. 01/14/14 06:19:10 v1.34.3, 01/14/14 06:19:10 v1.34.3, 01/14/14 06:19:10 v1.34.3, Total factoring time = 30215.4036 seconds |
software ソフトウェア | yafu v1.34.3 |
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 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | October 3, 2007 09:00:00 UTC 2007 年 10 月 3 日 (水) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 600 / 2336 | 300 | Dmitry Domanov | May 31, 2011 06:42:55 UTC 2011 年 5 月 31 日 (火) 15 時 42 分 55 秒 (日本時間) |
300 | Serge Batalov | January 9, 2014 04:51:13 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 13 秒 (日本時間) |
name 名前 | Serge Batalov |
---|---|
date 日付 | January 9, 2014 06:08:26 UTC 2014 年 1 月 9 日 (木) 15 時 8 分 26 秒 (日本時間) |
composite number 合成数 | 7661584556701061180944284104449147104642920353508437153581052318432277126809998110301007251533255177475684518918714456697316805886463749676319312692377319327<157> |
prime factors 素因数 | 107377163645117440961264816108776747<36> |
composite cofactor 合成数の残り | 71352085458530752974796412499777194850068361690034591876569230345627581512296207625079546220642733619700495370074323234141<122> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1869756375 Step 1 took 11410ms Step 2 took 4727ms ********** Factor found in step 2: 107377163645117440961264816108776747 Found probable prime factor of 36 digits: 107377163645117440961264816108776747 Composite cofactor |
name 名前 | Cyp |
---|---|
date 日付 | January 15, 2014 12:11:50 UTC 2014 年 1 月 15 日 (水) 21 時 11 分 50 秒 (日本時間) |
composite number 合成数 | 71352085458530752974796412499777194850068361690034591876569230345627581512296207625079546220642733619700495370074323234141<122> |
prime factors 素因数 | 1018854502130800326093309116539494197433692748956528407153<58> 70031673128309529021204141202795641424718070146335772581779425197<65> |
factorization results 素因数分解の結果 | 01/15/14 07:07:20 v1.34.3, nfs: commencing nfs on c122: 71352085458530752974796412499777194850068361690034591876569230345627581512296207625079546220642733619700495370074323234141 01/15/14 07:07:20 v1.34.3, nfs: commencing poly selection with 8 threads 01/15/14 07:07:20 v1.34.3, nfs: setting deadline of 2435 seconds 01/15/14 07:51:07 v1.34.3, nfs: completed 193 ranges of size 250 in 2626.8202 seconds 01/15/14 07:51:07 v1.34.3, nfs: best poly = # norm 1.255488e-11 alpha -7.967050 e 2.259e-10 rroots 3 01/15/14 07:51:07 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/15/14 07:57:06 v1.34.3, nfs: commencing lattice sieving with 8 threads [42 lines snipped] 01/15/14 12:14:29 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/15/14 12:20:30 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/15/14 12:26:41 v1.34.3, nfs: commencing msieve filtering 01/15/14 12:28:29 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/15/14 12:34:27 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/15/14 12:40:57 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/15/14 12:47:07 v1.34.3, nfs: commencing msieve filtering 01/15/14 12:49:25 v1.34.3, nfs: commencing msieve linear algebra 01/15/14 13:09:48 v1.34.3, nfs: commencing msieve sqrt 01/15/14 13:11:48 v1.34.3, prp65 = 70031673128309529021204141202795641424718070146335772581779425197 01/15/14 13:11:48 v1.34.3, prp58 = 1018854502130800326093309116539494197433692748956528407153 01/15/14 13:11:48 v1.34.3, NFS elapsed time = 21868.5005 seconds. 01/15/14 13:11:48 v1.34.3, 01/15/14 13:11:48 v1.34.3, |
software ソフトウェア | yafu v1.34.3 |
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 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | October 3, 2007 09:00:00 UTC 2007 年 10 月 3 日 (水) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 600 / 2336 | 300 | Dmitry Domanov | May 31, 2011 06:43:04 UTC 2011 年 5 月 31 日 (火) 15 時 43 分 4 秒 (日本時間) |
300 | Serge Batalov | January 9, 2014 04:51:14 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 14 秒 (日本時間) |
name 名前 | LegionMammal978 |
---|---|
date 日付 | January 25, 2017 00:59:53 UTC 2017 年 1 月 25 日 (水) 9 時 59 分 53 秒 (日本時間) |
composite number 合成数 | 312297016861894787823059640939950404416965319490273709945359722179867780054071457407967075343648662418642786754047283079345566061442555349<138> |
prime factors 素因数 | 1037060249318566926853395903833359908179576427623996733169<58> 301136811546965926765661306873457648000605131623211291420171151020499225193725221<81> |
factorization results 素因数分解の結果 | Tue Jan 24 07:00:24 2017 Msieve v. 1.53 (SVN Unversioned directory) Tue Jan 24 07:00:24 2017 random seeds: a7c6a9f7 5cd7069d Tue Jan 24 07:00:24 2017 factoring 312297016861894787823059640939950404416965319490273709945359722179867780054071457407967075343648662418642786754047283079345566061442555349 (138 digits) Tue Jan 24 07:00:24 2017 no P-1/P+1/ECM available, skipping Tue Jan 24 07:00:24 2017 commencing number field sieve (138-digit input) Tue Jan 24 07:00:24 2017 R0: -10000000000000000000000000000000000000 Tue Jan 24 07:00:24 2017 R1: 1 Tue Jan 24 07:00:24 2017 A0: -7 Tue Jan 24 07:00:24 2017 A1: 0 Tue Jan 24 07:00:24 2017 A2: 0 Tue Jan 24 07:00:24 2017 A3: 0 Tue Jan 24 07:00:24 2017 A4: 0 Tue Jan 24 07:00:24 2017 A5: 6000 Tue Jan 24 07:00:24 2017 skew 0.26, size 2.513e-13, alpha 0.209, combined = 3.628e-11 rroots = 1 Tue Jan 24 07:00:24 2017 Tue Jan 24 07:00:24 2017 commencing relation filtering Tue Jan 24 07:00:24 2017 estimated available RAM is 15929.4 MB Tue Jan 24 07:00:24 2017 commencing duplicate removal, pass 1 Tue Jan 24 07:03:18 2017 found 3311533 hash collisions in 22185022 relations Tue Jan 24 07:03:37 2017 added 336 free relations Tue Jan 24 07:03:37 2017 commencing duplicate removal, pass 2 Tue Jan 24 07:03:42 2017 found 3002858 duplicates and 19182500 unique relations Tue Jan 24 07:03:42 2017 memory use: 98.6 MB Tue Jan 24 07:03:42 2017 reading ideals above 720000 Tue Jan 24 07:03:43 2017 commencing singleton removal, initial pass Tue Jan 24 07:05:56 2017 memory use: 689.0 MB Tue Jan 24 07:05:56 2017 reading all ideals from disk Tue Jan 24 07:05:56 2017 memory use: 611.8 MB Tue Jan 24 07:05:57 2017 keeping 21381075 ideals with weight <= 200, target excess is 116477 Tue Jan 24 07:05:58 2017 commencing in-memory singleton removal Tue Jan 24 07:05:58 2017 begin with 19182500 relations and 21381075 unique ideals Tue Jan 24 07:06:06 2017 reduce to 7707092 relations and 7547170 ideals in 19 passes Tue Jan 24 07:06:06 2017 max relations containing the same ideal: 103 Tue Jan 24 07:06:08 2017 removing 225271 relations and 212867 ideals in 12404 cliques Tue Jan 24 07:06:09 2017 commencing in-memory singleton removal Tue Jan 24 07:06:09 2017 begin with 7481821 relations and 7547170 unique ideals Tue Jan 24 07:06:11 2017 reduce to 7475899 relations and 7328361 ideals in 8 passes Tue Jan 24 07:06:11 2017 max relations containing the same ideal: 101 Tue Jan 24 07:06:13 2017 removing 161261 relations and 148857 ideals in 12404 cliques Tue Jan 24 07:06:13 2017 commencing in-memory singleton removal Tue Jan 24 07:06:14 2017 begin with 7314638 relations and 7328361 unique ideals Tue Jan 24 07:06:16 2017 reduce to 7311416 relations and 7176277 ideals in 7 passes Tue Jan 24 07:06:16 2017 max relations containing the same ideal: 100 Tue Jan 24 07:06:17 2017 relations with 0 large ideals: 2961 Tue Jan 24 07:06:17 2017 relations with 1 large ideals: 960 Tue Jan 24 07:06:17 2017 relations with 2 large ideals: 16665 Tue Jan 24 07:06:17 2017 relations with 3 large ideals: 130465 Tue Jan 24 07:06:17 2017 relations with 4 large ideals: 558403 Tue Jan 24 07:06:17 2017 relations with 5 large ideals: 1389738 Tue Jan 24 07:06:17 2017 relations with 6 large ideals: 2148099 Tue Jan 24 07:06:17 2017 relations with 7+ large ideals: 3064125 Tue Jan 24 07:06:17 2017 commencing 2-way merge Tue Jan 24 07:06:20 2017 reduce to 4242677 relation sets and 4107541 unique ideals Tue Jan 24 07:06:20 2017 ignored 3 oversize relation sets Tue Jan 24 07:06:20 2017 commencing full merge Tue Jan 24 07:07:04 2017 memory use: 492.9 MB Tue Jan 24 07:07:04 2017 found 2166188 cycles, need 2157741 Tue Jan 24 07:07:05 2017 weight of 2157741 cycles is about 151257782 (70.10/cycle) Tue Jan 24 07:07:05 2017 distribution of cycle lengths: Tue Jan 24 07:07:05 2017 1 relations: 330991 Tue Jan 24 07:07:05 2017 2 relations: 285296 Tue Jan 24 07:07:05 2017 3 relations: 263404 Tue Jan 24 07:07:05 2017 4 relations: 226004 Tue Jan 24 07:07:05 2017 5 relations: 191665 Tue Jan 24 07:07:05 2017 6 relations: 157083 Tue Jan 24 07:07:05 2017 7 relations: 131096 Tue Jan 24 07:07:05 2017 8 relations: 106600 Tue Jan 24 07:07:05 2017 9 relations: 86294 Tue Jan 24 07:07:05 2017 10+ relations: 379308 Tue Jan 24 07:07:05 2017 heaviest cycle: 28 relations Tue Jan 24 07:07:05 2017 commencing cycle optimization Tue Jan 24 07:07:07 2017 start with 12380559 relations Tue Jan 24 07:07:18 2017 pruned 261967 relations Tue Jan 24 07:07:19 2017 memory use: 418.4 MB Tue Jan 24 07:07:19 2017 distribution of cycle lengths: Tue Jan 24 07:07:19 2017 1 relations: 330991 Tue Jan 24 07:07:19 2017 2 relations: 291262 Tue Jan 24 07:07:19 2017 3 relations: 271813 Tue Jan 24 07:07:19 2017 4 relations: 229734 Tue Jan 24 07:07:19 2017 5 relations: 194690 Tue Jan 24 07:07:19 2017 6 relations: 158095 Tue Jan 24 07:07:19 2017 7 relations: 130699 Tue Jan 24 07:07:19 2017 8 relations: 104857 Tue Jan 24 07:07:19 2017 9 relations: 84939 Tue Jan 24 07:07:19 2017 10+ relations: 360661 Tue Jan 24 07:07:19 2017 heaviest cycle: 28 relations Tue Jan 24 07:07:21 2017 RelProcTime: 417 Tue Jan 24 07:07:21 2017 elapsed time 00:06:57 Tue Jan 24 07:07:21 2017 LatSieveTime: 1171.54 Tue Jan 24 07:07:21 2017 -> Running matrix solving step ... Tue Jan 24 07:07:21 2017 -> ./msieve -s 59993_188/59993_188.dat -l 59993_188/59993_188.log -i 59993_188/59993_188.ini -nf 59993_188/59993_188.fb -t 6 -nc2 Tue Jan 24 07:07:21 2017 Tue Jan 24 07:07:21 2017 Tue Jan 24 07:07:21 2017 Msieve v. 1.53 (SVN Unversioned directory) Tue Jan 24 07:07:21 2017 random seeds: fd65343b d8ed1b9a Tue Jan 24 07:07:21 2017 factoring 312297016861894787823059640939950404416965319490273709945359722179867780054071457407967075343648662418642786754047283079345566061442555349 (138 digits) Tue Jan 24 07:07:22 2017 no P-1/P+1/ECM available, skipping Tue Jan 24 07:07:22 2017 commencing number field sieve (138-digit input) Tue Jan 24 07:07:22 2017 R0: -10000000000000000000000000000000000000 Tue Jan 24 07:07:22 2017 R1: 1 Tue Jan 24 07:07:22 2017 A0: -7 Tue Jan 24 07:07:22 2017 A1: 0 Tue Jan 24 07:07:22 2017 A2: 0 Tue Jan 24 07:07:22 2017 A3: 0 Tue Jan 24 07:07:22 2017 A4: 0 Tue Jan 24 07:07:22 2017 A5: 6000 Tue Jan 24 07:07:22 2017 skew 0.26, size 2.513e-13, alpha 0.209, combined = 3.628e-11 rroots = 1 Tue Jan 24 07:07:22 2017 Tue Jan 24 07:07:22 2017 commencing linear algebra Tue Jan 24 07:07:22 2017 read 2157741 cycles Tue Jan 24 07:07:24 2017 cycles contain 7121323 unique relations Tue Jan 24 07:07:58 2017 read 7121323 relations Tue Jan 24 07:08:03 2017 using 20 quadratic characters above 4294917295 Tue Jan 24 07:08:30 2017 building initial matrix Tue Jan 24 07:09:10 2017 memory use: 865.5 MB Tue Jan 24 07:09:11 2017 read 2157741 cycles Tue Jan 24 07:09:11 2017 matrix is 2157563 x 2157741 (648.3 MB) with weight 189905558 (88.01/col) Tue Jan 24 07:09:11 2017 sparse part has weight 146201951 (67.76/col) Tue Jan 24 07:09:23 2017 filtering completed in 2 passes Tue Jan 24 07:09:23 2017 matrix is 2154831 x 2155009 (648.0 MB) with weight 189809218 (88.08/col) Tue Jan 24 07:09:23 2017 sparse part has weight 146165953 (67.83/col) Tue Jan 24 07:09:28 2017 matrix starts at (0, 0) Tue Jan 24 07:09:28 2017 matrix is 2154831 x 2155009 (648.0 MB) with weight 189809218 (88.08/col) Tue Jan 24 07:09:28 2017 sparse part has weight 146165953 (67.83/col) Tue Jan 24 07:09:28 2017 saving the first 48 matrix rows for later Tue Jan 24 07:09:28 2017 matrix includes 64 packed rows Tue Jan 24 07:09:28 2017 matrix is 2154783 x 2155009 (614.1 MB) with weight 151239622 (70.18/col) Tue Jan 24 07:09:28 2017 sparse part has weight 139443315 (64.71/col) Tue Jan 24 07:09:28 2017 using block size 8192 and superblock size 786432 for processor cache size 8192 kB Tue Jan 24 07:09:33 2017 commencing Lanczos iteration (6 threads) Tue Jan 24 07:09:33 2017 memory use: 494.2 MB Tue Jan 24 07:09:38 2017 linear algebra at 0.1%, ETA 1h58m Tue Jan 24 07:09:40 2017 checkpointing every 1050000 dimensions Tue Jan 24 09:07:37 2017 lanczos halted after 34075 iterations (dim = 2154782) Tue Jan 24 09:07:39 2017 recovered 39 nontrivial dependencies Tue Jan 24 09:07:39 2017 BLanczosTime: 7217 Tue Jan 24 09:07:39 2017 elapsed time 02:00:18 Tue Jan 24 09:07:39 2017 -> Running square root step ... Tue Jan 24 09:07:39 2017 -> ./msieve -s 59993_188/59993_188.dat -l 59993_188/59993_188.log -i 59993_188/59993_188.ini -nf 59993_188/59993_188.fb -t 6 -nc3 Tue Jan 24 09:07:39 2017 Tue Jan 24 09:07:39 2017 Tue Jan 24 09:07:39 2017 Msieve v. 1.53 (SVN Unversioned directory) Tue Jan 24 09:07:39 2017 random seeds: 084d2f01 14881043 Tue Jan 24 09:07:39 2017 factoring 312297016861894787823059640939950404416965319490273709945359722179867780054071457407967075343648662418642786754047283079345566061442555349 (138 digits) Tue Jan 24 09:07:40 2017 no P-1/P+1/ECM available, skipping Tue Jan 24 09:07:40 2017 commencing number field sieve (138-digit input) Tue Jan 24 09:07:40 2017 R0: -10000000000000000000000000000000000000 Tue Jan 24 09:07:40 2017 R1: 1 Tue Jan 24 09:07:40 2017 A0: -7 Tue Jan 24 09:07:40 2017 A1: 0 Tue Jan 24 09:07:40 2017 A2: 0 Tue Jan 24 09:07:40 2017 A3: 0 Tue Jan 24 09:07:40 2017 A4: 0 Tue Jan 24 09:07:40 2017 A5: 6000 Tue Jan 24 09:07:40 2017 skew 0.26, size 2.513e-13, alpha 0.209, combined = 3.628e-11 rroots = 1 Tue Jan 24 09:07:40 2017 Tue Jan 24 09:07:40 2017 commencing square root phase Tue Jan 24 09:07:40 2017 reading relations for dependency 1 Tue Jan 24 09:07:40 2017 read 1076266 cycles Tue Jan 24 09:07:41 2017 cycles contain 3558420 unique relations Tue Jan 24 09:07:59 2017 read 3558420 relations Tue Jan 24 09:08:09 2017 multiplying 3558420 relations Tue Jan 24 09:09:58 2017 multiply complete, coefficients have about 121.61 million bits Tue Jan 24 09:09:58 2017 initial square root is modulo 535690721 Tue Jan 24 09:12:12 2017 sqrtTime: 272 Tue Jan 24 09:12:12 2017 p58 factor: 1037060249318566926853395903833359908179576427623996733169 Tue Jan 24 09:12:12 2017 p81 factor: 301136811546965926765661306873457648000605131623211291420171151020499225193725221 Tue Jan 24 09:12:12 2017 elapsed time 00:04:33 |
software ソフトウェア | GGNFS/Msieve v1.53 |
execution environment 実行環境 | 64-bit Ubuntu 16.04.1 LTS, Core i7-2600K 3.4GHz |
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 | October 3, 2007 09:00:00 UTC 2007 年 10 月 3 日 (水) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 2100 | 300 | Dmitry Domanov | May 31, 2011 06:43:12 UTC 2011 年 5 月 31 日 (火) 15 時 43 分 12 秒 (日本時間) |
300 | Serge Batalov | January 9, 2014 04:51:14 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 14 秒 (日本時間) | |||
1500 | Dmitry Domanov | February 12, 2014 22:38:57 UTC 2014 年 2 月 13 日 (木) 7 時 38 分 57 秒 (日本時間) | |||
45 | 11e6 | 1500 / 4015 | Dmitry Domanov | March 14, 2014 12:23:49 UTC 2014 年 3 月 14 日 (金) 21 時 23 分 49 秒 (日本時間) |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | May 6, 2014 05:25:03 UTC 2014 年 5 月 6 日 (火) 14 時 25 分 3 秒 (日本時間) |
composite number 合成数 | 5091996026295996972355044115180103324059082151797359863108314186510785879831228258665298062386003244406935140078577304241176845795411458295531778807268159964165923<163> |
prime factors 素因数 | 15113395120605769321211905289426490021569<41> 336919400681420253618112131228090053850596762515131939852238806800442702391926508897453516033380232251466104732033697303267<123> |
factorization results 素因数分解の結果 | Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2478669635 Step 1 took 87839ms Step 2 took 27732ms ********** Factor found in step 2: 15113395120605769321211905289426490021569 Found probable prime factor of 41 digits: 15113395120605769321211905289426490021569 |
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 | October 3, 2007 09:00:00 UTC 2007 年 10 月 3 日 (水) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 2100 | 300 | Dmitry Domanov | May 31, 2011 06:43:21 UTC 2011 年 5 月 31 日 (火) 15 時 43 分 21 秒 (日本時間) |
300 | Serge Batalov | January 9, 2014 04:51:15 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 15 秒 (日本時間) | |||
1500 | Dmitry Domanov | February 12, 2014 22:39:08 UTC 2014 年 2 月 13 日 (木) 7 時 39 分 8 秒 (日本時間) | |||
45 | 11e6 | 1000 / 4015 | Dmitry Domanov | May 5, 2014 07:28:16 UTC 2014 年 5 月 5 日 (月) 16 時 28 分 16 秒 (日本時間) |
name 名前 | Lionel Debroux |
---|---|
date 日付 | June 6, 2020 21:51:12 UTC 2020 年 6 月 7 日 (日) 6 時 51 分 12 秒 (日本時間) |
composite number 合成数 | 450223138347727453445888029507317200017408842605839505907602077700532006204676554631157532674327613169565073338157187315240032054971886951606085926439865145020110010721697253<174> |
prime factors 素因数 | 30671745863061668663336097476492388567179413<44> |
composite cofactor 合成数の残り | 14678758110405977383204865299647552909548579504273960465977604635251131903413270427146989432598946053279577824726894385868170609681<131> |
factorization results 素因数分解の結果 | GMP-ECM 7.0.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM] Input number is 450223138347727453445888029507317200017408842605839505907602077700532006204676554631157532674327613169565073338157187315240032054971886951606085926439865145020110010721697253 (174 digits) Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:223758800 Step 1 took 36869ms Step 2 took 15881ms ********** Factor found in step 2: 30671745863061668663336097476492388567179413 Found prime factor of 44 digits: 30671745863061668663336097476492388567179413 Composite cofactor 14678758110405977383204865299647552909548579504273960465977604635251131903413270427146989432598946053279577824726894385868170609681 has 131 digits |
execution environment 実行環境 | Core i7-2670QM @ 2.6 GHz, Debian sid amd64 |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | June 12, 2020 07:42:27 UTC 2020 年 6 月 12 日 (金) 16 時 42 分 27 秒 (日本時間) |
composite number 合成数 | 14678758110405977383204865299647552909548579504273960465977604635251131903413270427146989432598946053279577824726894385868170609681<131> |
prime factors 素因数 | 608765517104044942714078957191991636251607038515911844503627<60> 24112335041961995467396440677190800432169351528616583827146263861824403<71> |
factorization results 素因数分解の結果 | 06/11/20 02:04:56 v1.34.5 nfs: commencing nfs on c131: 14678758110405977383204865299647552909548579504273960465977604635251131903413270427146989432598946053279577824726894385868170609681 06/11/20 02:04:56 v1.34.5 nfs: commencing poly selection with 4 threads 06/11/20 02:04:56 v1.34.5 nfs: setting deadline of 14400 seconds 06/11/20 06:10:22 v1.34.5 nfs: completed 141 ranges of size 250 in 14725.9625 seconds 06/11/20 06:10:22 v1.34.5 nfs: best poly = # norm 1.759255e-12 alpha -7.437624 e 7.544e-11 rroots 3 06/11/20 06:10:22 v1.34.5 nfs: commencing lattice sieving with 4 threads 06/11/20 06:33:44 v1.34.5 nfs: commencing lattice sieving with 4 threads 06/11/20 06:56:53 v1.34.5 nfs: commencing lattice sieving with 4 threads 06/11/20 07:21:31 v1.34.5 nfs: commencing lattice sieving with 4 threads 06/11/20 07:47:52 v1.34.5 nfs: commencing lattice sieving with 4 threads 06/11/20 08:13:40 v1.34.5 nfs: commencing lattice sieving with 4 threads 06/11/20 08:38:12 v1.34.5 nfs: commencing lattice sieving with 4 threads 06/11/20 09:04:14 v1.34.5 nfs: commencing lattice sieving with 4 threads 06/11/20 09:30:54 v1.34.5 nfs: commencing lattice sieving with 4 threads 06/11/20 09:57:39 v1.34.5 nfs: commencing lattice sieving with 4 threads 06/11/20 10:21:33 v1.34.5 nfs: commencing lattice sieving with 4 threads 06/11/20 10:45:15 v1.34.5 nfs: commencing lattice sieving with 4 threads 06/11/20 11:09:24 v1.34.5 nfs: commencing lattice sieving with 4 threads 06/11/20 11:35:51 v1.34.5 nfs: commencing lattice sieving with 4 threads 06/11/20 12:01:57 v1.34.5 nfs: commencing lattice sieving with 4 threads 06/11/20 12:28:01 v1.34.5 nfs: commencing lattice sieving with 4 threads 06/11/20 12:53:35 v1.34.5 nfs: commencing lattice sieving with 4 threads 06/11/20 13:19:49 v1.34.5 nfs: commencing lattice sieving with 4 threads 06/11/20 13:45:24 v1.34.5 nfs: commencing lattice sieving with 4 threads 06/11/20 14:10:57 v1.34.5 nfs: commencing lattice sieving with 4 threads 06/11/20 14:37:54 v1.34.5 nfs: commencing lattice sieving with 4 threads 06/11/20 15:03:49 v1.34.5 nfs: commencing lattice sieving with 4 threads 06/11/20 15:30:23 v1.34.5 nfs: commencing lattice sieving with 4 threads 06/11/20 15:57:06 v1.34.5 nfs: commencing lattice sieving with 4 threads 06/11/20 16:20:46 v1.34.5 nfs: commencing lattice sieving with 4 threads 06/11/20 16:44:06 v1.34.5 nfs: commencing lattice sieving with 4 threads 06/11/20 17:08:20 v1.34.5 nfs: commencing lattice sieving with 4 threads 06/11/20 17:32:02 v1.34.5 nfs: commencing lattice sieving with 4 threads 06/11/20 17:56:11 v1.34.5 nfs: commencing lattice sieving with 4 threads 06/11/20 18:20:16 v1.34.5 nfs: commencing lattice sieving with 4 threads 06/11/20 18:43:43 v1.34.5 nfs: commencing lattice sieving with 4 threads 06/11/20 19:06:59 v1.34.5 nfs: commencing lattice sieving with 4 threads 06/11/20 19:30:07 v1.34.5 nfs: commencing lattice sieving with 4 threads 06/11/20 19:53:22 v1.34.5 nfs: commencing lattice sieving with 4 threads 06/11/20 20:16:50 v1.34.5 nfs: commencing lattice sieving with 4 threads 06/11/20 20:41:02 v1.34.5 nfs: commencing lattice sieving with 4 threads 06/11/20 21:05:00 v1.34.5 nfs: commencing lattice sieving with 4 threads 06/11/20 21:28:25 v1.34.5 nfs: commencing lattice sieving with 4 threads 06/11/20 21:52:38 v1.34.5 nfs: commencing lattice sieving with 4 threads 06/11/20 22:16:57 v1.34.5 nfs: commencing lattice sieving with 4 threads 06/11/20 22:41:49 v1.34.5 nfs: commencing lattice sieving with 4 threads 06/11/20 23:05:31 v1.34.5 nfs: commencing lattice sieving with 4 threads 06/11/20 23:28:54 v1.34.5 nfs: commencing lattice sieving with 4 threads 06/11/20 23:53:06 v1.34.5 nfs: commencing lattice sieving with 4 threads 06/12/20 00:17:03 v1.34.5 nfs: commencing lattice sieving with 4 threads 06/12/20 00:41:30 v1.34.5 nfs: commencing lattice sieving with 4 threads 06/12/20 01:05:24 v1.34.5 nfs: commencing lattice sieving with 4 threads 06/12/20 01:28:39 v1.34.5 nfs: commencing lattice sieving with 4 threads 06/12/20 01:52:33 v1.34.5 nfs: commencing lattice sieving with 4 threads 06/12/20 02:16:40 v1.34.5 nfs: commencing lattice sieving with 4 threads 06/12/20 02:41:06 v1.34.5 nfs: commencing lattice sieving with 4 threads 06/12/20 03:06:53 v1.34.5 nfs: commencing lattice sieving with 4 threads 06/12/20 03:36:33 v1.34.5 nfs: commencing lattice sieving with 4 threads 06/12/20 04:02:23 v1.34.5 nfs: commencing lattice sieving with 4 threads 06/12/20 04:26:54 v1.34.5 nfs: commencing lattice sieving with 4 threads 06/12/20 04:51:39 v1.34.5 nfs: commencing lattice sieving with 4 threads 06/12/20 05:17:49 v1.34.5 nfs: commencing lattice sieving with 4 threads 06/12/20 05:43:05 v1.34.5 nfs: commencing lattice sieving with 4 threads 06/12/20 06:08:29 v1.34.5 nfs: commencing lattice sieving with 4 threads 06/12/20 06:35:45 v1.34.5 nfs: commencing lattice sieving with 4 threads 06/12/20 07:01:20 v1.34.5 nfs: commencing msieve filtering 06/12/20 07:15:30 v1.34.5 nfs: commencing msieve linear algebra 06/12/20 09:12:33 v1.34.5 nfs: commencing msieve sqrt 06/12/20 09:32:23 v1.34.5 prp71 = 24112335041961995467396440677190800432169351528616583827146263861824403 06/12/20 09:32:24 v1.34.5 prp60 = 608765517104044942714078957191991636251607038515911844503627 06/12/20 09:32:24 v1.34.5 NFS elapsed time = 113248.2606 seconds. Fri Jun 12 07:01:20 2020 commencing relation filtering Fri Jun 12 07:01:20 2020 estimated available RAM is 3007.7 MB Fri Jun 12 07:01:20 2020 commencing duplicate removal, pass 1 Fri Jun 12 07:04:55 2020 found 2317476 hash collisions in 21315663 relations Fri Jun 12 07:05:37 2020 added 121650 free relations Fri Jun 12 07:05:37 2020 commencing duplicate removal, pass 2 Fri Jun 12 07:05:52 2020 found 1817069 duplicates and 19620244 unique relations Fri Jun 12 07:05:52 2020 memory use: 98.6 MB Fri Jun 12 07:05:52 2020 reading ideals above 9502720 Fri Jun 12 07:05:55 2020 commencing singleton removal, initial pass Fri Jun 12 07:09:56 2020 memory use: 376.5 MB Fri Jun 12 07:09:56 2020 reading all ideals from disk Fri Jun 12 07:09:58 2020 memory use: 349.9 MB Fri Jun 12 07:10:00 2020 commencing in-memory singleton removal Fri Jun 12 07:10:02 2020 begin with 19620244 relations and 20067711 unique ideals Fri Jun 12 07:10:18 2020 reduce to 7617147 relations and 5949054 ideals in 19 passes Fri Jun 12 07:10:18 2020 max relations containing the same ideal: 48 Fri Jun 12 07:10:19 2020 reading ideals above 100000 Fri Jun 12 07:10:19 2020 commencing singleton removal, initial pass Fri Jun 12 07:12:22 2020 memory use: 188.2 MB Fri Jun 12 07:12:22 2020 reading all ideals from disk Fri Jun 12 07:12:23 2020 memory use: 284.2 MB Fri Jun 12 07:12:25 2020 keeping 7178763 ideals with weight <= 200, target excess is 39474 Fri Jun 12 07:12:26 2020 commencing in-memory singleton removal Fri Jun 12 07:12:28 2020 begin with 7617553 relations and 7178763 unique ideals Fri Jun 12 07:12:42 2020 reduce to 7611065 relations and 7170367 ideals in 11 passes Fri Jun 12 07:12:42 2020 max relations containing the same ideal: 200 Fri Jun 12 07:12:50 2020 removing 1473874 relations and 1276420 ideals in 197454 cliques Fri Jun 12 07:12:51 2020 commencing in-memory singleton removal Fri Jun 12 07:12:52 2020 begin with 6137191 relations and 7170367 unique ideals Fri Jun 12 07:13:04 2020 reduce to 5899692 relations and 5648016 ideals in 11 passes Fri Jun 12 07:13:04 2020 max relations containing the same ideal: 175 Fri Jun 12 07:13:10 2020 removing 1110217 relations and 912763 ideals in 197454 cliques Fri Jun 12 07:13:11 2020 commencing in-memory singleton removal Fri Jun 12 07:13:12 2020 begin with 4789475 relations and 5648016 unique ideals Fri Jun 12 07:13:21 2020 reduce to 4613315 relations and 4552967 ideals in 11 passes Fri Jun 12 07:13:21 2020 max relations containing the same ideal: 147 Fri Jun 12 07:13:26 2020 removing 136645 relations and 122087 ideals in 14558 cliques Fri Jun 12 07:13:26 2020 commencing in-memory singleton removal Fri Jun 12 07:13:27 2020 begin with 4476670 relations and 4552967 unique ideals Fri Jun 12 07:13:32 2020 reduce to 4473877 relations and 4428080 ideals in 7 passes Fri Jun 12 07:13:32 2020 max relations containing the same ideal: 146 Fri Jun 12 07:13:34 2020 relations with 0 large ideals: 131 Fri Jun 12 07:13:34 2020 relations with 1 large ideals: 104 Fri Jun 12 07:13:34 2020 relations with 2 large ideals: 1733 Fri Jun 12 07:13:34 2020 relations with 3 large ideals: 20608 Fri Jun 12 07:13:34 2020 relations with 4 large ideals: 130367 Fri Jun 12 07:13:34 2020 relations with 5 large ideals: 471199 Fri Jun 12 07:13:34 2020 relations with 6 large ideals: 1023888 Fri Jun 12 07:13:34 2020 relations with 7+ large ideals: 2825847 Fri Jun 12 07:13:34 2020 commencing 2-way merge Fri Jun 12 07:13:40 2020 reduce to 2552437 relation sets and 2506640 unique ideals Fri Jun 12 07:13:40 2020 commencing full merge Fri Jun 12 07:15:03 2020 memory use: 308.7 MB Fri Jun 12 07:15:03 2020 found 1310445 cycles, need 1304840 Fri Jun 12 07:15:04 2020 weight of 1304840 cycles is about 91563862 (70.17/cycle) Fri Jun 12 07:15:04 2020 distribution of cycle lengths: Fri Jun 12 07:15:04 2020 1 relations: 172960 Fri Jun 12 07:15:04 2020 2 relations: 152419 Fri Jun 12 07:15:04 2020 3 relations: 147049 Fri Jun 12 07:15:04 2020 4 relations: 129863 Fri Jun 12 07:15:04 2020 5 relations: 117881 Fri Jun 12 07:15:04 2020 6 relations: 101918 Fri Jun 12 07:15:04 2020 7 relations: 90713 Fri Jun 12 07:15:04 2020 8 relations: 77481 Fri Jun 12 07:15:04 2020 9 relations: 65821 Fri Jun 12 07:15:04 2020 10+ relations: 248735 Fri Jun 12 07:15:04 2020 heaviest cycle: 23 relations Fri Jun 12 07:15:04 2020 commencing cycle optimization Fri Jun 12 07:15:07 2020 start with 7690848 relations Fri Jun 12 07:15:25 2020 pruned 151887 relations Fri Jun 12 07:15:25 2020 memory use: 261.0 MB Fri Jun 12 07:15:25 2020 distribution of cycle lengths: Fri Jun 12 07:15:25 2020 1 relations: 172960 Fri Jun 12 07:15:25 2020 2 relations: 155379 Fri Jun 12 07:15:25 2020 3 relations: 151142 Fri Jun 12 07:15:25 2020 4 relations: 132361 Fri Jun 12 07:15:25 2020 5 relations: 120032 Fri Jun 12 07:15:25 2020 6 relations: 102840 Fri Jun 12 07:15:25 2020 7 relations: 91257 Fri Jun 12 07:15:25 2020 8 relations: 77445 Fri Jun 12 07:15:25 2020 9 relations: 65737 Fri Jun 12 07:15:25 2020 10+ relations: 235687 Fri Jun 12 07:15:25 2020 heaviest cycle: 23 relations Fri Jun 12 07:15:30 2020 RelProcTime: 850 Fri Jun 12 07:15:30 2020 Fri Jun 12 07:15:30 2020 commencing linear algebra Fri Jun 12 07:15:30 2020 read 1304840 cycles Fri Jun 12 07:15:34 2020 cycles contain 4429238 unique relations Fri Jun 12 07:16:25 2020 read 4429238 relations Fri Jun 12 07:16:33 2020 using 20 quadratic characters above 268432320 Fri Jun 12 07:17:00 2020 building initial matrix Fri Jun 12 07:18:03 2020 memory use: 589.6 MB Fri Jun 12 07:18:05 2020 read 1304840 cycles Fri Jun 12 07:18:06 2020 matrix is 1304662 x 1304840 (397.3 MB) with weight 129111498 (98.95/col) Fri Jun 12 07:18:06 2020 sparse part has weight 88482807 (67.81/col) Fri Jun 12 07:18:24 2020 filtering completed in 2 passes Fri Jun 12 07:18:24 2020 matrix is 1304139 x 1304317 (397.2 MB) with weight 129091365 (98.97/col) Fri Jun 12 07:18:24 2020 sparse part has weight 88479300 (67.84/col) Fri Jun 12 07:18:32 2020 matrix starts at (0, 0) Fri Jun 12 07:18:32 2020 matrix is 1304139 x 1304317 (397.2 MB) with weight 129091365 (98.97/col) Fri Jun 12 07:18:32 2020 sparse part has weight 88479300 (67.84/col) Fri Jun 12 07:18:32 2020 saving the first 48 matrix rows for later Fri Jun 12 07:18:33 2020 matrix includes 128 packed rows Fri Jun 12 07:18:34 2020 matrix is 1304091 x 1304317 (377.9 MB) with weight 103455233 (79.32/col) Fri Jun 12 07:18:34 2020 sparse part has weight 83410579 (63.95/col) Fri Jun 12 07:18:34 2020 using block size 65536 for processor cache size 16384 kB Fri Jun 12 07:18:40 2020 commencing Lanczos iteration (4 threads) Fri Jun 12 07:18:40 2020 memory use: 332.1 MB Fri Jun 12 07:18:48 2020 linear algebra at 0.1%, ETA 1h54m Fri Jun 12 07:18:51 2020 checkpointing every 670000 dimensions Fri Jun 12 09:12:31 2020 lanczos halted after 20625 iterations (dim = 1304090) Fri Jun 12 09:12:33 2020 recovered 31 nontrivial dependencies Fri Jun 12 09:12:33 2020 BLanczosTime: 7023 Fri Jun 12 09:12:33 2020 Fri Jun 12 09:12:33 2020 commencing square root phase Fri Jun 12 09:12:33 2020 reading relations for dependency 1 Fri Jun 12 09:12:34 2020 read 652275 cycles Fri Jun 12 09:12:35 2020 cycles contain 2213596 unique relations Fri Jun 12 09:13:09 2020 read 2213596 relations Fri Jun 12 09:13:22 2020 multiplying 2213596 relations Fri Jun 12 09:15:56 2020 multiply complete, coefficients have about 98.02 million bits Fri Jun 12 09:15:57 2020 initial square root is modulo 10856071 Fri Jun 12 09:19:20 2020 GCD is 1, no factor found Fri Jun 12 09:19:20 2020 reading relations for dependency 2 Fri Jun 12 09:19:21 2020 read 651751 cycles Fri Jun 12 09:19:22 2020 cycles contain 2214882 unique relations Fri Jun 12 09:19:53 2020 read 2214882 relations Fri Jun 12 09:20:07 2020 multiplying 2214882 relations Fri Jun 12 09:22:38 2020 multiply complete, coefficients have about 98.08 million bits Fri Jun 12 09:22:39 2020 initial square root is modulo 10959217 Fri Jun 12 09:25:54 2020 GCD is N, no factor found Fri Jun 12 09:25:54 2020 reading relations for dependency 3 Fri Jun 12 09:25:54 2020 read 652004 cycles Fri Jun 12 09:25:56 2020 cycles contain 2214270 unique relations Fri Jun 12 09:26:23 2020 read 2214270 relations Fri Jun 12 09:26:37 2020 multiplying 2214270 relations Fri Jun 12 09:29:08 2020 multiply complete, coefficients have about 98.04 million bits Fri Jun 12 09:29:09 2020 initial square root is modulo 10902131 Fri Jun 12 09:32:23 2020 sqrtTime: 1190 |
software ソフトウェア | YAFU v1.34.5 |
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 | October 3, 2007 09:00:00 UTC 2007 年 10 月 3 日 (水) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 2100 | 300 | Dmitry Domanov | May 31, 2011 06:43:28 UTC 2011 年 5 月 31 日 (火) 15 時 43 分 28 秒 (日本時間) |
300 | Serge Batalov | January 9, 2014 04:51:15 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 15 秒 (日本時間) | |||
1500 | Dmitry Domanov | February 12, 2014 22:39:16 UTC 2014 年 2 月 13 日 (木) 7 時 39 分 16 秒 (日本時間) | |||
45 | 11e6 | 2000 / 4015 | 1000 | Dmitry Domanov | May 5, 2014 07:28:32 UTC 2014 年 5 月 5 日 (月) 16 時 28 分 32 秒 (日本時間) |
1000 | Lionel Debroux | June 6, 2020 21:49:01 UTC 2020 年 6 月 7 日 (日) 6 時 49 分 1 秒 (日本時間) |
name 名前 | Eric Jeancolas |
---|---|
date 日付 | May 15, 2020 03:02:24 UTC 2020 年 5 月 15 日 (金) 12 時 2 分 24 秒 (日本時間) |
composite number 合成数 | 288087093994780899488907687303299659184005519625833852010585314422448025212798848947102390487294265886743778132679410286977809299178855264167227<144> |
prime factors 素因数 | 398532447094954651352220190753475613562819050521<48> 722869859392254312525995523744823006798692506836530940804590673515729655350716853217241820943987<96> |
factorization results 素因数分解の結果 | 288087093994780899488907687303299659184005519625833852010585314422448025212798848947102390487294265886743778132679410286977809299178855264167227=398532447094954651352220190753475613562819050521*722869859392254312525995523744823006798692506836530940804590673515729655350716853217241820943987 n: 288087093994780899488907687303299659184005519625833852010585314422448025212798848947102390487294265886743778132679410286977809299178855264167227 skew: 439460.947 c0: 1867638285969035362661639595925080 c1: 22064277878004685953368055930 c2: -117447367647011582709377 c3: -210963150010256008 c4: 290265550420 c5: 206400 Y0: -5812441645057761285999545245 Y1: 220902770820542225887 # MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=3.355e+14) = 1.98e-07 # found by revision 7f9c8bd19 # f(x) = 206400*x^5+290265550420*x^4-210963150010256008*x^3-117447367647011582709377*x^2+22064277878004685953368055930*x+1867638285969035362661639595925080 # g(x) = 220902770820542225887*x-5812441645057761285999545245 Info:Square Root: Factors: 722869859392254312525995523744823006798692506836530940804590673515729655350716853217241820943987 398532447094954651352220190753475613562819050521 Info:Square Root: Total cpu/real time for sqrt: 1576.09/464.05 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: 18.17/5.00469 Info:Generate Free Relations: Total cpu/real time for freerel: 469.02/119.193 Warning:Lattice Sieving: some stats could not be displayed for sieving (see log file for debug info) Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 48227674 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 103.38/79.1326 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 79.0s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 539.29/170.708 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 161.1s Info:Filtering - Singleton removal: Total cpu/real time for purge: 236.81/102.881 Info:Filtering - Merging: Total cpu/real time for merge: 477.84/138.832 Info:Filtering - Merging: Total cpu/real time for replay: 142.15/122.011 Info:Linear Algebra: Total cpu/real time for bwc: 202535/51659.5 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: WCT time 33043.28, iteration CPU time 0.3, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (104960 iterations) Info:Linear Algebra: Lingen CPU time 722.22, WCT time 209.38 Info:Linear Algebra: Mksol: WCT time 17977.37, iteration CPU time 0.33, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (52736 iterations) Info:Quadratic Characters: Total cpu/real time for characters: 136.85/55.3855 Info:Square Root: Total cpu/real time for sqrt: 1576.09/464.05 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 163377/53126.9 Info:root: Cleaning up computation data in /tmp/cado.ec9e7l9c 722869859392254312525995523744823006798692506836530940804590673515729655350716853217241820943987 398532447094954651352220190753475613562819050521 |
software ソフトウェア | cado-nfs-3.0.0 |
execution environment 実行環境 | Linux Ubuntu 18.04 LTS GenuineIntel Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz [Family 6 Model 63 Stepping 2] (12 processors) |
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 | October 3, 2007 09:00:00 UTC 2007 年 10 月 3 日 (水) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 2100 | 300 | Dmitry Domanov | May 31, 2011 06:43:36 UTC 2011 年 5 月 31 日 (火) 15 時 43 分 36 秒 (日本時間) |
300 | Serge Batalov | January 9, 2014 04:51:19 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 19 秒 (日本時間) | |||
1500 | Dmitry Domanov | February 12, 2014 22:39:30 UTC 2014 年 2 月 13 日 (木) 7 時 39 分 30 秒 (日本時間) | |||
45 | 11e6 | 1500 / 4015 | Dmitry Domanov | March 14, 2014 12:24:06 UTC 2014 年 3 月 14 日 (金) 21 時 24 分 6 秒 (日本時間) |
name 名前 | Serge Batalov |
---|---|
date 日付 | October 21, 2008 05:04:14 UTC 2008 年 10 月 21 日 (火) 14 時 4 分 14 秒 (日本時間) |
composite number 合成数 | 135349389584481531511188110470898957796052800981776624737256775349746645851443716550356118814553688382160430639310990209496434328623056109352770175633261676590792407262571619130711212129<186> |
prime factors 素因数 | 1599529266754550409912307759727<31> |
composite cofactor 合成数の残り | 84618263884039984680979205479242373328854046385994102543980925758836773562467373965067601568858438800912633777084401273137347795319481939335873583645268527<155> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1986207576 Step 1 took 23769ms ********** Factor found in step 1: 1599529266754550409912307759727 Found probable prime factor of 31 digits: 1599529266754550409912307759727 Composite cofactor 84618263884039984680979205479242373328854046385994102543980925758836773562467373965067601568858438800912633777084401273137347795319481939335873583645268527 has 155 digits |
software ソフトウェア | GMP-ECM 6.2.1 |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | May 31, 2011 09:45:53 UTC 2011 年 5 月 31 日 (火) 18 時 45 分 53 秒 (日本時間) |
composite number 合成数 | 84618263884039984680979205479242373328854046385994102543980925758836773562467373965067601568858438800912633777084401273137347795319481939335873583645268527<155> |
prime factors 素因数 | 69647709971114263612182443608905343<35> 45610601668477793926926081388624380347<38> 26637377659692163602198554600522012531276958722024202122767771088922418156704594787<83> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3216924143 Step 1 took 60668ms Step 2 took 23037ms ********** Factor found in step 2: 69647709971114263612182443608905343 Found probable prime factor of 35 digits: 69647709971114263612182443608905343 Composite cofactor 1214946821929028510836003673421086893691662287992630951952107466915429704347037085371219298225315203713084839625601451089 has 121 digits N=1214946821929028510836003673421086893691662287992630951952107466915429704347037085371219298225315203713084839625601451089 ( 121 digits) Divisors found: r1=45610601668477793926926081388624380347 (pp38) r2=26637377659692163602198554600522012531276958722024202122767771088922418156704594787 (pp83) Version: Msieve v. 1.48 Total time: 6.76 hours. Scaled time: 10.53 units (timescale=1.557). Factorization parameters were as follows: name: 121 n: 1214946821929028510836003673421086893691662287992630951952107466915429704347037085371219298225315203713084839625601451089 skew: 92898.66 # norm 1.98e+16 c5: 25500 c4: -4781910950 c3: -667537506336091 c2: 28315842795299650522 c1: 3444773796473549827274048 c0: 36295955123939638446854138400 # alpha -5.60 Y1: 6804482531159 Y0: -136648298659084418123773 # Murphy_E 2.77e-10 # M 465052677808573842134204879295430051753711176344344343913760939257508710324137444432570073054576109776151334996265987696 type: gnfs rlim: 4400000 alim: 4400000 lpbr: 27 lpba: 27 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 4400000/4400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 53/53 Sieved algebraic special-q in [2200000, 4300001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 716925 x 717154 Polynomial selection time: 5.98 hours. Total sieving time: 0.00 hours. Total relation processing time: 0.14 hours. Matrix solve time: 0.56 hours. Time per square root: 0.09 hours. Prototype def-par.txt line would be: gnfs,120,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4400000,4400000,27,27,53,53,2.5,2.5,100000 total time: 6.76 hours. |
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 | October 3, 2007 09:00:00 UTC 2007 年 10 月 3 日 (水) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 300 / 2336 | Dmitry Domanov | May 31, 2011 06:43:45 UTC 2011 年 5 月 31 日 (火) 15 時 43 分 45 秒 (日本時間) |
name 名前 | Eric Jeancolas |
---|---|
date 日付 | January 19, 2021 18:07:03 UTC 2021 年 1 月 20 日 (水) 3 時 7 分 3 秒 (日本時間) |
composite number 合成数 | 55781964164349028590157729436650577589204151561565973350167781774731216241446210447356113943731323558126289951339531039899170613012763212243007429039239372321<158> |
prime factors 素因数 | 6568656595375631798967539511461676337751901004941745455934803284595356131<73> 8492141940198216441557390024319366734169358903258047004748665152153638593326039752491<85> |
factorization results 素因数分解の結果 | 55781964164349028590157729436650577589204151561565973350167781774731216241446210447356113943731323558126289951339531039899170613012763212243007429039239372321=6568656595375631798967539511461676337751901004941745455934803284595356131*8492141940198216441557390024319366734169358903258047004748665152153638593326039752491 cado polynomial n: 55781964164349028590157729436650577589204151561565973350167781774731216241446210447356113943731323558126289951339531039899170613012763212243007429039239372321 skew: 0.33 type: snfs c0: -7 c5: 1875 Y0: 2000000000000000000000000000000000000000 Y1: -1 # f(x) = 1875*x^5-7 # g(x) = -x+2000000000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 15000000 tasks.lim1 = 15000000 tasks.lpb0 = 28 tasks.lpb1 = 28 tasks.sieve.mfb0 = 55 tasks.sieve.mfb1 = 55 tasks.sieve.lambda0 = 2.5 tasks.sieve.lambda1 = 2.5 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 6568656595375631798967539511461676337751901004941745455934803284595356131 8492141940198216441557390024319366734169358903258047004748665152153638593326039752491 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: 6.49/2.43458 Info:Generate Free Relations: Total cpu/real time for freerel: 99.37/25.6003 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 31298530 Info:Lattice Sieving: Average J: 1893.61 for 4804952 special-q, max bucket fill -bkmult 1.0,1s:1.075050 Info:Lattice Sieving: Total time: 1.28989e+06s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 60.92/160.757 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 159.50000000000003s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 536.79/550.802 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 479.30000000000007s Info:Filtering - Singleton removal: Total cpu/real time for purge: 462/549.61 Info:Filtering - Merging: Merged matrix has 3006017 rows and total weight 516330627 (171.8 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 432.24/124.923 Info:Filtering - Merging: Total cpu/real time for replay: 116.74/103.521 Info:Linear Algebra: Total cpu/real time for bwc: 172063/44074.9 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: WCT time 28809.32, iteration CPU time 0.29, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (94208 iterations) Info:Linear Algebra: Lingen CPU time 640.96, WCT time 184.03 Info:Linear Algebra: Mksol: WCT time 14733.57, iteration CPU time 0.3, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (47104 iterations) Info:Quadratic Characters: Total cpu/real time for characters: 103.3/44.7412 Info:Square Root: Total cpu/real time for sqrt: 881.11/277.769 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.5613e+06/224394 Info:root: Cleaning up computation data in /tmp/cado.yk_4jxjr 6568656595375631798967539511461676337751901004941745455934803284595356131 8492141940198216441557390024319366734169358903258047004748665152153638593326039752491 |
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 | October 3, 2007 09:00:00 UTC 2007 年 10 月 3 日 (水) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 2100 | 300 | Dmitry Domanov | May 31, 2011 06:43:53 UTC 2011 年 5 月 31 日 (火) 15 時 43 分 53 秒 (日本時間) |
300 | Serge Batalov | January 9, 2014 04:51:19 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 19 秒 (日本時間) | |||
1500 | Dmitry Domanov | February 12, 2014 22:39:40 UTC 2014 年 2 月 13 日 (木) 7 時 39 分 40 秒 (日本時間) | |||
45 | 11e6 | 1500 / 4015 | Dmitry Domanov | March 14, 2014 12:24:20 UTC 2014 年 3 月 14 日 (金) 21 時 24 分 20 秒 (日本時間) |
name 名前 | Eric Jeancolas |
---|---|
date 日付 | February 18, 2021 18:35:53 UTC 2021 年 2 月 19 日 (金) 3 時 35 分 53 秒 (日本時間) |
composite number 合成数 | 2853965710766612718556617790574434704243009056242575623353149656783643731661545494268713236664822833503804455177796090082835687454287932237544332337097<151> |
prime factors 素因数 | 119767253465264908945335997836315181102526958786596546745759805691<66> 23829265748290073580832841134032587831644531175979526975178257287814960876567123033867<86> |
factorization results 素因数分解の結果 | 2853965710766612718556617790574434704243009056242575623353149656783643731661545494268713236664822833503804455177796090082835687454287932237544332337097=119767253465264908945335997836315181102526958786596546745759805691*23829265748290073580832841134032587831644531175979526975178257287814960876567123033867 cado polynomial n: 2853965710766612718556617790574434704243009056242575623353149656783643731661545494268713236664822833503804455177796090082835687454287932237544332337097 skew: 1.03 type: snfs c0: -7 c5: 6 Y0: 10000000000000000000000000000000000000000 Y1: -1 # f(x) = 6*x^5-7 # g(x) = -x+10000000000000000000000000000000000000000 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: 23829265748290073580832841134032587831644531175979526975178257287814960876567123033867 119767253465264908945335997836315181102526958786596546745759805691 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: 6.46/2.51837 Info:Generate Free Relations: Total cpu/real time for freerel: 202.85/52.2628 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 48684696 Info:Lattice Sieving: Average J: 1893.87 for 4560817 special-q, max bucket fill -bkmult 1.0,1s:1.075030 Info:Lattice Sieving: Total time: 1.3248e+06s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 91.12/240.497 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 239.6s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 809.72/661.287 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 556.0s Info:Filtering - Singleton removal: Total cpu/real time for purge: 622.8/670.511 Info:Filtering - Merging: Merged matrix has 3544834 rows and total weight 609942471 (172.1 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 519.76/150.185 Info:Filtering - Merging: Total cpu/real time for replay: 142.83/130.576 Info:Linear Algebra: Total cpu/real time for bwc: 235789/60263.7 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: WCT time 38642.79, iteration CPU time 0.33, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (111104 iterations) Info:Linear Algebra: Lingen CPU time 790.08, WCT time 227.56 Info:Linear Algebra: Mksol: WCT time 20930.61, iteration CPU time 0.36, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (55808 iterations) Info:Quadratic Characters: Total cpu/real time for characters: 129.98/54.7543 Info:Square Root: Total cpu/real time for sqrt: 956.52/306.248 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.58639e+06/144934 Info:root: Cleaning up computation data in /tmp/cado.8g97iygr 23829265748290073580832841134032587831644531175979526975178257287814960876567123033867 119767253465264908945335997836315181102526958786596546745759805691 |
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 | October 3, 2007 09:00:00 UTC 2007 年 10 月 3 日 (水) 18 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 2100 | 300 | Dmitry Domanov | May 31, 2011 06:44:01 UTC 2011 年 5 月 31 日 (火) 15 時 44 分 1 秒 (日本時間) |
300 | Serge Batalov | January 9, 2014 04:51:20 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 20 秒 (日本時間) | |||
1500 | Dmitry Domanov | February 12, 2014 22:39:50 UTC 2014 年 2 月 13 日 (木) 7 時 39 分 50 秒 (日本時間) | |||
45 | 11e6 | 1500 / 4015 | Dmitry Domanov | March 14, 2014 12:24:33 UTC 2014 年 3 月 14 日 (金) 21 時 24 分 33 秒 (日本時間) |
name 名前 | Serge Batalov |
---|---|
date 日付 | January 6, 2014 22:12:08 UTC 2014 年 1 月 7 日 (火) 7 時 12 分 8 秒 (日本時間) |
composite number 合成数 | 11597785197324354984670011536674592157507728460886534173607246712538417745824804955180458767593881866356002190143811552442122143829737463767998280657828920912906332459558367<173> |
prime factors 素因数 | 3547211439276896118449457056186959<34> |
composite cofactor 合成数の残り | 3269550010159129191334502171668099756739664528924157771818243922020755093244974129462793544969517955429661398717090605526319921221879648113<139> |
factorization results 素因数分解の結果 | Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=1424310787 Step 1 took 3628ms Step 2 took 2756ms ********** Factor found in step 2: 3547211439276896118449457056186959 Found probable prime factor of 34 digits: 3547211439276896118449457056186959 Composite cofactor |
name 名前 | Erik Branger |
---|---|
date 日付 | March 1, 2014 09:02:16 UTC 2014 年 3 月 1 日 (土) 18 時 2 分 16 秒 (日本時間) |
composite number 合成数 | 3269550010159129191334502171668099756739664528924157771818243922020755093244974129462793544969517955429661398717090605526319921221879648113<139> |
prime factors 素因数 | 41017411253768868150792082436333055868981909173917<50> 79711271633670150707407854142000413708937270806044717273827983205626316567082134798383589<89> |
factorization results 素因数分解の結果 | Number: 59993_201 N = 3269550010159129191334502171668099756739664528924157771818243922020755093244974129462793544969517955429661398717090605526319921221879648113 (139 digits) Divisors found: r1=41017411253768868150792082436333055868981909173917 (pp50) r2=79711271633670150707407854142000413708937270806044717273827983205626316567082134798383589 (pp89) Version: Msieve v. 1.51 (SVN Official Release) Total time: 168.36 hours. Factorization parameters were as follows: # Murphy_E = 2.499e-11, selected by Erik Branger # expecting poly E from 2.53e-011 to > 2.91e-011 n: 3269550010159129191334502171668099756739664528924157771818243922020755093244974129462793544969517955429661398717090605526319921221879648113 Y0: -848365440130366004258986843 Y1: 58760964881341 c0: 97535157014665071744751636091137680 c1: 239060617817881603091505952396 c2: -18819586336129375608564 c3: -184533704151033207 c4: 51277135030 c5: 7440 skew: 1984222.69 type: gnfs # selected mechanically rlim: 16600000 alim: 16600000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.6 alambda: 2.6 Factor base limits: 16600000/16600000 Large primes per side: 3 Large prime bits: 28/28 Sieved algebraic special-q in [0, 0) Total raw relations: 23341736 Relations: 3965262 relations Pruned matrix : 2438687 x 2438914 Polynomial selection time: 0.00 hours. Total sieving time: 163.44 hours. Total relation processing time: 0.14 hours. Matrix solve time: 4.55 hours. time per square root: 0.23 hours. Prototype def-par.txt line would be: gnfs,138,5,65,2000,1e-05,0.28,250,20,50000,3600,16600000,16600000,28,28,55,55,2.6,2.6,100000 total time: 168.36 hours. Intel64 Family 6 Model 60 Stepping 3, GenuineIntel Windows-7-6.1.7601-SP1 processors: 8, speed: 3.50GHz |
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 | 918 | 118 | Makoto Kamada | October 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間) |
800 | Serge Batalov | January 6, 2014 20:24:58 UTC 2014 年 1 月 7 日 (火) 5 時 24 分 58 秒 (日本時間) | |||
40 | 3e6 | 300 | Serge Batalov | January 9, 2014 04:51:21 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 21 秒 (日本時間) | |
45 | 11e6 | 690 / 4372 | 230 | Ignacio Santos | February 5, 2014 15:50:22 UTC 2014 年 2 月 6 日 (木) 0 時 50 分 22 秒 (日本時間) |
230 | Ignacio Santos | February 5, 2014 19:19:19 UTC 2014 年 2 月 6 日 (木) 4 時 19 分 19 秒 (日本時間) | |||
230 | Ignacio Santos | February 5, 2014 22:44:22 UTC 2014 年 2 月 6 日 (木) 7 時 44 分 22 秒 (日本時間) |
name 名前 | Serge Batalov |
---|---|
date 日付 | November 1, 2013 17:22:06 UTC 2013 年 11 月 2 日 (土) 2 時 22 分 6 秒 (日本時間) |
composite number 合成数 | 1285044226938810477393930307768092351845109335846308710458118266903685935190936154719324923432781478229209055278319162151164035895568739157439335203786596988713028206720781306889978796770255509627123<199> |
prime factors 素因数 | 29304115601019678532608859128163658159<38> |
composite cofactor 合成数の残り | 43852005105183775932699375371637219498640581220292459723088339623406045636819912078647077461793857878353549484422368123070092955380089714795911001533231823782397<161> |
factorization results 素因数分解の結果 | Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1727713119 Step 1 took 252276ms Step 2 took 69691ms ********** Factor found in step 2: 29304115601019678532608859128163658159 Found probable prime factor of 38 digits: 29304115601019678532608859128163658159 Composite cofactor |
name 名前 | Bob Backstrom |
---|---|
date 日付 | December 25, 2023 16:10:39 UTC 2023 年 12 月 26 日 (火) 1 時 10 分 39 秒 (日本時間) |
composite number 合成数 | 43852005105183775932699375371637219498640581220292459723088339623406045636819912078647077461793857878353549484422368123070092955380089714795911001533231823782397<161> |
prime factors 素因数 | 59276867876185391385707246327277191523238281310618224702395727147373<68> 739782763097059871738869536865950516118527937092620845674643802278481742722463938764431329489<93> |
factorization results 素因数分解の結果 | Number: n N=43852005105183775932699375371637219498640581220292459723088339623406045636819912078647077461793857878353549484422368123070092955380089714795911001533231823782397 ( 161 digits) SNFS difficulty: 202 digits. Divisors found: Tue Dec 26 00:28:44 2023 prp68 factor: 59276867876185391385707246327277191523238281310618224702395727147373 Tue Dec 26 00:28:44 2023 prp93 factor: 739782763097059871738869536865950516118527937092620845674643802278481742722463938764431329489 Tue Dec 26 00:28:44 2023 elapsed time 03:03:49 (Msieve 1.44 - dependency 4) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.096). Factorization parameters were as follows: # # N = 6x10^202-7 = 59(201)3 # n: 43852005105183775932699375371637219498640581220292459723088339623406045636819912078647077461793857878353549484422368123070092955380089714795911001533231823782397 m: 10000000000000000000000000000000000000000 deg: 5 c5: 600 c0: -7 skew: 0.41 # Murphy_E = 1.034e-11 type: snfs lss: 1 rlim: 16800000 alim: 16800000 lpbr: 27 lpba: 27 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 16800000/16800000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 56/56 Sieved special-q in [100000, 48400000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3413148 hash collisions in 19152265 relations (16124715 unique) Msieve: matrix is 2352384 x 2352609 (662.9 MB) Sieving start time: 2023/12/25 02:15:13 Sieving end time : 2023/12/25 21:24:29 Total sieving time: 19hrs 9min 16secs. Total relation processing time: 2hrs 47min 16sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 11min 26sec. Prototype def-par.txt line would be: snfs,202,5,0,0,0,0,0,0,0,0,16800000,16800000,27,27,56,56,2.6,2.6,100000 total time: 0.00 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 | |
---|---|---|---|---|---|
35 | 1e6 | 118 | Makoto Kamada | October 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 0 | - | - | |
45 | 11e6 | 0 | - | - | |
50 | 43e6 | 1800 / 7553 | Serge Batalov | November 1, 2013 16:53:21 UTC 2013 年 11 月 2 日 (土) 1 時 53 分 21 秒 (日本時間) |
name 名前 | Serge Batalov |
---|---|
date 日付 | January 9, 2014 17:21:54 UTC 2014 年 1 月 10 日 (金) 2 時 21 分 54 秒 (日本時間) |
composite number 合成数 | 24029656332323767942825450534350586046542467008046614915469692040030025872097707133743065020795930698349958658516899707537629089900849711828502036376900296774543674085312182103205427<182> |
prime factors 素因数 | 167791428673670049774888278616583016267<39> 143211465104442004734481009448674696921951321929459102946061535463538092109500235693148022731218565893444196925501975577958224570303403358743481<144> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1457802403 Step 1 took 14469ms Step 2 took 5387ms ********** Factor found in step 2: 167791428673670049774888278616583016267 Found probable prime factor of 39 digits: 167791428673670049774888278616583016267 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 | 118 | Makoto Kamada | October 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 590 / 2318 | 290 | Cyp | January 5, 2014 15:01:56 UTC 2014 年 1 月 6 日 (月) 0 時 1 分 56 秒 (日本時間) |
300 | Serge Batalov | January 9, 2014 04:51:21 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 21 秒 (日本時間) |
name 名前 | Bob Backstrom |
---|---|
date 日付 | April 9, 2024 05:37:32 UTC 2024 年 4 月 9 日 (火) 14 時 37 分 32 秒 (日本時間) |
composite number 合成数 | 178123559831343631255991671094228070233645558347807184813143994763568414063277042111088630389537618065930118504329107109988560351307876437459903313947922151705991831733<168> |
prime factors 素因数 | 1449903040801717991637054416254215406303664486114313917158009120216147499219933<79> 122852049287965444249532433636590967703352515289247660728838386188979385774979130309244601<90> |
factorization results 素因数分解の結果 | Number: n N=178123559831343631255991671094228070233645558347807184813143994763568414063277042111088630389537618065930118504329107109988560351307876437459903313947922151705991831733 ( 168 digits) SNFS difficulty: 206 digits. Divisors found: Tue Apr 9 15:29:08 2024 prp79 factor: 1449903040801717991637054416254215406303664486114313917158009120216147499219933 Tue Apr 9 15:29:08 2024 prp90 factor: 122852049287965444249532433636590967703352515289247660728838386188979385774979130309244601 Tue Apr 9 15:29:08 2024 elapsed time 03:03:45 (Msieve 1.44 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.085). Factorization parameters were as follows: # # N = 6x10^206-7 = 59(205)3 # n: 178123559831343631255991671094228070233645558347807184813143994763568414063277042111088630389537618065930118504329107109988560351307876437459903313947922151705991831733 m: 100000000000000000000000000000000000000000 deg: 5 c5: 60 c0: -7 skew: 0.65 # Murphy_E = 7.705e-12 type: snfs lss: 1 rlim: 19600000 alim: 19600000 lpbr: 27 lpba: 27 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 19600000/19600000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 56/56 Sieved special-q in [100000, 42600000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3941901 hash collisions in 19725360 relations (16015035 unique) Msieve: matrix is 2403817 x 2404042 (678.4 MB) Sieving start time: 2024/04/08 20:18:04 Sieving end time : 2024/04/09 12:24:58 Total sieving time: 16hrs 6min 54secs. Total relation processing time: 2hrs 53min 21sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 5min 16sec. Prototype def-par.txt line would be: snfs,206,5,0,0,0,0,0,0,0,0,19600000,19600000,27,27,56,56,2.6,2.6,100000 total time: 0.00 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 | |
---|---|---|---|---|---|
35 | 1e6 | 118 | Makoto Kamada | October 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2090 | 290 | Cyp | January 5, 2014 14:50:35 UTC 2014 年 1 月 5 日 (日) 23 時 50 分 35 秒 (日本時間) |
300 | Serge Batalov | January 9, 2014 04:51:22 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 22 秒 (日本時間) | |||
1500 | Dmitry Domanov | February 12, 2014 22:42:57 UTC 2014 年 2 月 13 日 (木) 7 時 42 分 57 秒 (日本時間) | |||
45 | 11e6 | 1500 / 4013 | Dmitry Domanov | May 5, 2014 07:29:27 UTC 2014 年 5 月 5 日 (月) 16 時 29 分 27 秒 (日本時間) |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | February 11, 2014 13:11:03 UTC 2014 年 2 月 11 日 (火) 22 時 11 分 3 秒 (日本時間) |
composite number 合成数 | 807112736270369989223879592234681572834949647814782855225156036558502515505748697574334944883071781801524540028366186621143645743928293470338338032441221468197707541<165> |
prime factors 素因数 | 29818570845730039581013555121715014175341<41> |
composite cofactor 合成数の残り | 27067452040074782392792403471108164263917450963816948404931310798770927319268751914967824102941090089914822700651413493104201<125> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=700051721 Step 1 took 19562ms Step 2 took 8243ms ********** Factor found in step 2: 29818570845730039581013555121715014175341 Found probable prime factor of 41 digits: 29818570845730039581013555121715014175341 |
name 名前 | Cyp |
---|---|
date 日付 | February 16, 2014 18:20:30 UTC 2014 年 2 月 17 日 (月) 3 時 20 分 30 秒 (日本時間) |
composite number 合成数 | 27067452040074782392792403471108164263917450963816948404931310798770927319268751914967824102941090089914822700651413493104201<125> |
prime factors 素因数 | 572878463648348306656074070951385245275469072538326476371<57> 47248157781490066772756840926150893802416713080370380842024732687731<68> |
factorization results 素因数分解の結果 | 02/16/14 09:49:21 v1.34.3, 02/16/14 09:49:21 v1.34.3, **************************** 02/16/14 09:49:21 v1.34.3, Starting factorization of 27067452040074782392792403471108164263917450963816948404931310798770927319268751914967824102941090089914822700651413493104201 02/16/14 09:49:21 v1.34.3, using pretesting plan: none 02/16/14 09:49:21 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 02/16/14 09:49:21 v1.34.3, **************************** 02/16/14 09:49:21 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C125 02/16/14 09:49:21 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C125 02/16/14 09:49:21 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C125 02/16/14 09:49:22 v1.34.3, final ECM pretested depth: 0.00 02/16/14 09:49:22 v1.34.3, scheduler: switching to sieve method 02/16/14 09:49:22 v1.34.3, nfs: commencing nfs on c125: 27067452040074782392792403471108164263917450963816948404931310798770927319268751914967824102941090089914822700651413493104201 02/16/14 09:49:22 v1.34.3, nfs: commencing poly selection with 8 threads 02/16/14 09:49:22 v1.34.3, nfs: setting deadline of 3388 seconds 02/16/14 10:50:01 v1.34.3, nfs: completed 319 ranges of size 250 in 3639.9410 seconds 02/16/14 10:50:01 v1.34.3, nfs: best poly = # norm 6.379473e-12 alpha -6.645154 e 1.551e-10 rroots 5 02/16/14 10:50:01 v1.34.3, nfs: commencing lattice sieving with 8 threads 02/16/14 10:55:48 v1.34.3, nfs: commencing lattice sieving with 8 threads [58 lines snipped] 02/16/14 17:33:10 v1.34.3, nfs: commencing lattice sieving with 8 threads 02/16/14 17:40:03 v1.34.3, nfs: commencing lattice sieving with 8 threads 02/16/14 17:46:38 v1.34.3, nfs: commencing msieve filtering 02/16/14 17:48:33 v1.34.3, nfs: commencing lattice sieving with 8 threads 02/16/14 17:55:34 v1.34.3, nfs: commencing lattice sieving with 8 threads 02/16/14 18:02:44 v1.34.3, nfs: commencing lattice sieving with 8 threads 02/16/14 18:09:45 v1.34.3, nfs: commencing lattice sieving with 8 threads 02/16/14 18:16:31 v1.34.3, nfs: commencing msieve filtering 02/16/14 18:18:46 v1.34.3, nfs: commencing lattice sieving with 8 threads 02/16/14 18:25:42 v1.34.3, nfs: commencing lattice sieving with 8 threads 02/16/14 18:32:28 v1.34.3, nfs: commencing lattice sieving with 8 threads 02/16/14 18:39:25 v1.34.3, nfs: commencing lattice sieving with 8 threads 02/16/14 18:46:29 v1.34.3, nfs: commencing msieve filtering 02/16/14 18:48:56 v1.34.3, nfs: commencing msieve linear algebra 02/16/14 19:15:12 v1.34.3, nfs: commencing msieve sqrt 02/16/14 19:20:26 v1.34.3, prp57 = 572878463648348306656074070951385245275469072538326476371 02/16/14 19:20:26 v1.34.3, prp68 = 47248157781490066772756840926150893802416713080370380842024732687731 02/16/14 19:20:26 v1.34.3, NFS elapsed time = 34264.5460 seconds. 02/16/14 19:20:26 v1.34.3, 02/16/14 19:20:26 v1.34.3, 02/16/14 19:20:26 v1.34.3, Total factoring time = 34264.5751 seconds -- Sun Feb 16 17:46:38 2014 Sun Feb 16 17:46:38 2014 commencing relation filtering Sun Feb 16 17:46:38 2014 estimated available RAM is 15988.7 MB Sun Feb 16 17:46:38 2014 commencing duplicate removal, pass 1 Sun Feb 16 17:47:15 2014 found 1215363 hash collisions in 10127884 relations Sun Feb 16 17:47:29 2014 added 63201 free relations Sun Feb 16 17:47:29 2014 commencing duplicate removal, pass 2 Sun Feb 16 17:47:38 2014 found 712802 duplicates and 9478283 unique relations Sun Feb 16 17:47:38 2014 memory use: 41.3 MB Sun Feb 16 17:47:38 2014 reading ideals above 100000 Sun Feb 16 17:47:38 2014 commencing singleton removal, initial pass Sun Feb 16 17:48:27 2014 memory use: 344.5 MB Sun Feb 16 17:48:27 2014 reading all ideals from disk Sun Feb 16 17:48:27 2014 memory use: 344.1 MB Sun Feb 16 17:48:28 2014 keeping 10950748 ideals with weight <= 200, target excess is 48524 Sun Feb 16 17:48:28 2014 commencing in-memory singleton removal Sun Feb 16 17:48:29 2014 begin with 9478283 relations and 10950748 unique ideals Sun Feb 16 17:48:33 2014 reduce to 2746687 relations and 2940745 ideals in 29 passes Sun Feb 16 17:48:33 2014 max relations containing the same ideal: 85 Sun Feb 16 18:16:31 2014 Sun Feb 16 18:16:31 2014 commencing relation filtering Sun Feb 16 18:16:31 2014 estimated available RAM is 15988.7 MB Sun Feb 16 18:16:31 2014 commencing duplicate removal, pass 1 Sun Feb 16 18:17:17 2014 found 1356613 hash collisions in 10831013 relations Sun Feb 16 18:17:30 2014 added 83 free relations Sun Feb 16 18:17:30 2014 commencing duplicate removal, pass 2 Sun Feb 16 18:17:39 2014 found 793625 duplicates and 10037471 unique relations Sun Feb 16 18:17:39 2014 memory use: 41.3 MB Sun Feb 16 18:17:39 2014 reading ideals above 720000 Sun Feb 16 18:17:39 2014 commencing singleton removal, initial pass Sun Feb 16 18:18:38 2014 memory use: 344.5 MB Sun Feb 16 18:18:38 2014 reading all ideals from disk Sun Feb 16 18:18:38 2014 memory use: 294.7 MB Sun Feb 16 18:18:39 2014 commencing in-memory singleton removal Sun Feb 16 18:18:39 2014 begin with 10037471 relations and 11126388 unique ideals Sun Feb 16 18:18:46 2014 reduce to 3594789 relations and 3545987 ideals in 20 passes Sun Feb 16 18:18:46 2014 max relations containing the same ideal: 67 Sun Feb 16 18:46:29 2014 Sun Feb 16 18:46:29 2014 commencing relation filtering Sun Feb 16 18:46:29 2014 estimated available RAM is 15988.7 MB Sun Feb 16 18:46:29 2014 commencing duplicate removal, pass 1 Sun Feb 16 18:47:08 2014 found 1493897 hash collisions in 11460034 relations Sun Feb 16 18:47:18 2014 added 64 free relations Sun Feb 16 18:47:18 2014 commencing duplicate removal, pass 2 Sun Feb 16 18:47:30 2014 found 876726 duplicates and 10583372 unique relations Sun Feb 16 18:47:30 2014 memory use: 41.3 MB Sun Feb 16 18:47:30 2014 reading ideals above 720000 Sun Feb 16 18:47:30 2014 commencing singleton removal, initial pass Sun Feb 16 18:48:20 2014 memory use: 344.5 MB Sun Feb 16 18:48:20 2014 reading all ideals from disk Sun Feb 16 18:48:20 2014 memory use: 311.0 MB Sun Feb 16 18:48:21 2014 commencing in-memory singleton removal Sun Feb 16 18:48:21 2014 begin with 10583372 relations and 11348944 unique ideals Sun Feb 16 18:48:25 2014 reduce to 4380704 relations and 4127786 ideals in 18 passes Sun Feb 16 18:48:25 2014 max relations containing the same ideal: 78 Sun Feb 16 18:48:26 2014 removing 557193 relations and 498023 ideals in 59170 cliques Sun Feb 16 18:48:26 2014 commencing in-memory singleton removal Sun Feb 16 18:48:27 2014 begin with 3823511 relations and 4127786 unique ideals Sun Feb 16 18:48:28 2014 reduce to 3761938 relations and 3567074 ideals in 10 passes Sun Feb 16 18:48:28 2014 max relations containing the same ideal: 71 Sun Feb 16 18:48:29 2014 removing 415753 relations and 356583 ideals in 59170 cliques Sun Feb 16 18:48:29 2014 commencing in-memory singleton removal Sun Feb 16 18:48:29 2014 begin with 3346185 relations and 3567074 unique ideals Sun Feb 16 18:48:30 2014 reduce to 3305916 relations and 3169582 ideals in 9 passes Sun Feb 16 18:48:30 2014 max relations containing the same ideal: 65 Sun Feb 16 18:48:32 2014 relations with 0 large ideals: 456 Sun Feb 16 18:48:32 2014 relations with 1 large ideals: 2662 Sun Feb 16 18:48:32 2014 relations with 2 large ideals: 35505 Sun Feb 16 18:48:32 2014 relations with 3 large ideals: 197532 Sun Feb 16 18:48:32 2014 relations with 4 large ideals: 573950 Sun Feb 16 18:48:32 2014 relations with 5 large ideals: 936320 Sun Feb 16 18:48:32 2014 relations with 6 large ideals: 891133 Sun Feb 16 18:48:32 2014 relations with 7+ large ideals: 668358 Sun Feb 16 18:48:32 2014 commencing 2-way merge Sun Feb 16 18:48:33 2014 reduce to 1907317 relation sets and 1770985 unique ideals Sun Feb 16 18:48:33 2014 ignored 2 oversize relation sets Sun Feb 16 18:48:33 2014 commencing full merge Sun Feb 16 18:48:49 2014 memory use: 200.3 MB Sun Feb 16 18:48:49 2014 found 949350 cycles, need 931185 Sun Feb 16 18:48:49 2014 weight of 931185 cycles is about 65500147 (70.34/cycle) Sun Feb 16 18:48:49 2014 distribution of cycle lengths: Sun Feb 16 18:48:49 2014 1 relations: 123322 Sun Feb 16 18:48:49 2014 2 relations: 109737 Sun Feb 16 18:48:49 2014 3 relations: 105965 Sun Feb 16 18:48:49 2014 4 relations: 92946 Sun Feb 16 18:48:49 2014 5 relations: 84246 Sun Feb 16 18:48:49 2014 6 relations: 70440 Sun Feb 16 18:48:49 2014 7 relations: 62481 Sun Feb 16 18:48:49 2014 8 relations: 53216 Sun Feb 16 18:48:49 2014 9 relations: 45042 Sun Feb 16 18:48:49 2014 10+ relations: 183790 Sun Feb 16 18:48:49 2014 heaviest cycle: 21 relations Sun Feb 16 18:48:50 2014 commencing cycle optimization Sun Feb 16 18:48:50 2014 start with 5501514 relations Sun Feb 16 18:48:55 2014 pruned 118846 relations Sun Feb 16 18:48:55 2014 memory use: 186.1 MB Sun Feb 16 18:48:55 2014 distribution of cycle lengths: Sun Feb 16 18:48:55 2014 1 relations: 123322 Sun Feb 16 18:48:55 2014 2 relations: 112137 Sun Feb 16 18:48:55 2014 3 relations: 109398 Sun Feb 16 18:48:55 2014 4 relations: 94843 Sun Feb 16 18:48:55 2014 5 relations: 85820 Sun Feb 16 18:48:55 2014 6 relations: 71375 Sun Feb 16 18:48:55 2014 7 relations: 62800 Sun Feb 16 18:48:55 2014 8 relations: 52858 Sun Feb 16 18:48:55 2014 9 relations: 44795 Sun Feb 16 18:48:55 2014 10+ relations: 173837 Sun Feb 16 18:48:55 2014 heaviest cycle: 21 relations Sun Feb 16 18:48:56 2014 RelProcTime: 147 Sun Feb 16 18:48:56 2014 Sun Feb 16 18:48:56 2014 commencing linear algebra Sun Feb 16 18:48:56 2014 read 931185 cycles Sun Feb 16 18:48:57 2014 cycles contain 3156133 unique relations Sun Feb 16 18:49:13 2014 read 3156133 relations Sun Feb 16 18:49:15 2014 using 20 quadratic characters above 134217104 Sun Feb 16 18:49:25 2014 building initial matrix Sun Feb 16 18:49:44 2014 memory use: 402.7 MB Sun Feb 16 18:49:44 2014 read 931185 cycles Sun Feb 16 18:49:44 2014 matrix is 931002 x 931185 (279.4 MB) with weight 88085696 (94.60/col) Sun Feb 16 18:49:44 2014 sparse part has weight 62994475 (67.65/col) Sun Feb 16 18:49:50 2014 filtering completed in 2 passes Sun Feb 16 18:49:50 2014 matrix is 928170 x 928352 (279.1 MB) with weight 87958268 (94.75/col) Sun Feb 16 18:49:50 2014 sparse part has weight 62948957 (67.81/col) Sun Feb 16 18:49:52 2014 matrix starts at (0, 0) Sun Feb 16 18:49:52 2014 matrix is 928170 x 928352 (279.1 MB) with weight 87958268 (94.75/col) Sun Feb 16 18:49:52 2014 sparse part has weight 62948957 (67.81/col) Sun Feb 16 18:49:52 2014 saving the first 48 matrix rows for later Sun Feb 16 18:49:52 2014 matrix includes 64 packed rows Sun Feb 16 18:49:52 2014 matrix is 928122 x 928352 (269.9 MB) with weight 69780001 (75.17/col) Sun Feb 16 18:49:52 2014 sparse part has weight 61474792 (66.22/col) Sun Feb 16 18:49:52 2014 using block size 65536 for processor cache size 8192 kB Sun Feb 16 18:49:55 2014 commencing Lanczos iteration (8 threads) Sun Feb 16 18:49:55 2014 memory use: 259.5 MB Sun Feb 16 18:50:00 2014 linear algebra at 0.3%, ETA 0h25m Sun Feb 16 19:15:12 2014 lanczos halted after 14679 iterations (dim = 928121) Sun Feb 16 19:15:12 2014 recovered 29 nontrivial dependencies Sun Feb 16 19:15:12 2014 BLanczosTime: 1576 Sun Feb 16 19:15:12 2014 Sun Feb 16 19:15:12 2014 commencing square root phase Sun Feb 16 19:15:12 2014 reading relations for dependency 1 Sun Feb 16 19:15:13 2014 read 463956 cycles Sun Feb 16 19:15:13 2014 cycles contain 1576654 unique relations Sun Feb 16 19:15:25 2014 read 1576654 relations Sun Feb 16 19:15:30 2014 multiplying 1576654 relations Sun Feb 16 19:16:33 2014 multiply complete, coefficients have about 69.47 million bits Sun Feb 16 19:16:33 2014 initial square root is modulo 96973 Sun Feb 16 19:17:50 2014 GCD is 1, no factor found Sun Feb 16 19:17:50 2014 reading relations for dependency 2 Sun Feb 16 19:17:50 2014 read 464148 cycles Sun Feb 16 19:17:51 2014 cycles contain 1577686 unique relations Sun Feb 16 19:18:03 2014 read 1577686 relations Sun Feb 16 19:18:07 2014 multiplying 1577686 relations Sun Feb 16 19:19:08 2014 multiply complete, coefficients have about 69.52 million bits Sun Feb 16 19:19:09 2014 initial square root is modulo 97729 Sun Feb 16 19:20:26 2014 sqrtTime: 314 -- n: 27067452040074782392792403471108164263917450963816948404931310798770927319268751914967824102941090089914822700651413493104201 skew: 370130.51 c0: -1788259487370311761862373794400 c1: 179459002780248033652142168 c2: 379527548046426706736 c3: -2940769990377988 c4: -2485259997 c5: 7560 Y0: -1290580614492332247537461 Y1: 962592266719 rlim: 7000000 alim: 7000000 lpbr: 27 lpba: 27 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 |
software ソフトウェア | yafu v1.34.3 |
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 | 118 | Makoto Kamada | October 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2090 / 2318 | 290 | Cyp | January 6, 2014 18:44:17 UTC 2014 年 1 月 7 日 (火) 3 時 44 分 17 秒 (日本時間) |
300 | Serge Batalov | January 9, 2014 04:51:22 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 22 秒 (日本時間) | |||
1500 | Dmitry Domanov | February 12, 2014 22:43:12 UTC 2014 年 2 月 13 日 (木) 7 時 43 分 12 秒 (日本時間) |
name 名前 | Serge Batalov |
---|---|
date 日付 | November 1, 2013 23:40:47 UTC 2013 年 11 月 2 日 (土) 8 時 40 分 47 秒 (日本時間) |
composite number 合成数 | 9379329200026809503184685115355139268126996457230908860786898219359702354728207841726458182837843713774234506546858652390553669648916482313182936089882814302626090317<166> |
prime factors 素因数 | 311958711826380670228583913287291701<36> 30065931305828818608073114054487705118744870955170156239926997271894378170487281692260457713367886980427662145483223502717158751417<131> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3418943530 Step 1 took 12469ms Step 2 took 10737ms ********** Factor found in step 2: 311958711826380670228583913287291701 Found probable prime factor of 36 digits: 311958711826380670228583913287291701 Probable prime cofactor |
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 | October 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間) |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | February 12, 2014 05:16:45 UTC 2014 年 2 月 12 日 (水) 14 時 16 分 45 秒 (日本時間) |
composite number 合成数 | 47215015295697782720007815306099868225003458293912611265838550124957080473226593822326818588441673255800667642316259188723929862244229817459853447945312326746761914250036839492017941777998772509488667<200> |
prime factors 素因数 | 2567787514036924791971049057952647914417<40> |
composite cofactor 合成数の残り | 18387430828133090868280056066109722518592936333816776513918926624256868385201688498654044065320973694986233174625657861815034078415761034580043831311471916410251<161> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=471481761 Step 1 took 25257ms Step 2 took 8564ms ********** Factor found in step 2: 2567787514036924791971049057952647914417 Found probable prime factor of 40 digits: 2567787514036924791971049057952647914417 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 118 | Makoto Kamada | October 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2090 | 290 | Cyp | January 4, 2014 04:52:58 UTC 2014 年 1 月 4 日 (土) 13 時 52 分 58 秒 (日本時間) |
300 | Serge Batalov | January 9, 2014 04:51:23 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 23 秒 (日本時間) | |||
1500 | Dmitry Domanov | February 12, 2014 22:43:26 UTC 2014 年 2 月 13 日 (木) 7 時 43 分 26 秒 (日本時間) | |||
45 | 11e6 | 1500 / 3876 | Dmitry Domanov | May 5, 2014 07:29:46 UTC 2014 年 5 月 5 日 (月) 16 時 29 分 46 秒 (日本時間) | |
50 | 43e6 | 39 / 7137 | Cyp | January 30, 2014 11:46:30 UTC 2014 年 1 月 30 日 (木) 20 時 46 分 30 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 | 918 | 118 | Makoto Kamada | October 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間) |
800 | Serge Batalov | January 6, 2014 20:24:59 UTC 2014 年 1 月 7 日 (火) 5 時 24 分 59 秒 (日本時間) | |||
40 | 3e6 | 590 | 290 | Cyp | January 6, 2014 21:53:02 UTC 2014 年 1 月 7 日 (火) 6 時 53 分 2 秒 (日本時間) |
300 | Serge Batalov | January 9, 2014 04:51:24 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 24 秒 (日本時間) | |||
45 | 11e6 | 1500 / 4308 | Dmitry Domanov | May 5, 2014 07:30:37 UTC 2014 年 5 月 5 日 (月) 16 時 30 分 37 秒 (日本時間) |
name 名前 | Cyp |
---|---|
date 日付 | January 11, 2014 01:14:35 UTC 2014 年 1 月 11 日 (土) 10 時 14 分 35 秒 (日本時間) |
composite number 合成数 | 112456465061162225672981757516959768759965070222198073351603547007961273646307105552506941436146027354679687127388771847388178939455751719978960594139296907717157684932715371702613172142268669<192> |
prime factors 素因数 | 1636852446870939868159467990675221188181<40> |
composite cofactor 合成数の残り | 68702872562604922118392274357662248085852479607754285781352251160416812924309302732545610041144363075011136560007506457381706401625884135072465280163849<152> |
factorization results 素因数分解の結果 | Run 16 out of 33: Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2040720261 Step 1 took 231783ms Step 2 took 58932ms ********** Factor found in step 2: 1636852446870939868159467990675221188181 Found probable prime factor of 40 digits: 1636852446870939868159467990675221188181 Composite cofactor 68702872562604922118392274357662248085852479607754285781352251160416812924309302732545610041144363075011136560007506457381706401625884135072465280163849 has 152 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 | 918 | 118 | Makoto Kamada | October 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間) |
800 | Serge Batalov | January 6, 2014 20:25:00 UTC 2014 年 1 月 7 日 (火) 5 時 25 分 0 秒 (日本時間) | |||
40 | 3e6 | 513 | 213 | Cyp | December 31, 2013 22:01:20 UTC 2014 年 1 月 1 日 (水) 7 時 1 分 20 秒 (日本時間) |
300 | Serge Batalov | January 9, 2014 04:51:24 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 24 秒 (日本時間) | |||
45 | 11e6 | 1500 / 4209 | Dmitry Domanov | March 14, 2014 12:25:16 UTC 2014 年 3 月 14 日 (金) 21 時 25 分 16 秒 (日本時間) | |
50 | 43e6 | 33 / 7192 | Cyp | January 11, 2014 01:14:34 UTC 2014 年 1 月 11 日 (土) 10 時 14 分 34 秒 (日本時間) |
name 名前 | Cyp |
---|---|
date 日付 | January 4, 2014 19:31:31 UTC 2014 年 1 月 5 日 (日) 4 時 31 分 31 秒 (日本時間) |
composite number 合成数 | 245290684810111740159150959912813958202545520685281150632548269041911827819796987823670836495210539652871793576333450952913689472005030306100398034366627621599575132973755443469<177> |
prime factors 素因数 | 66137465709238095020620052739931682981289137<44> |
composite cofactor 合成数の残り | 3708800786055058745394654337079050419122833318807867230013645124786458423626514438177517995226476455565069942304059160574785366014237<133> |
factorization results 素因数分解の結果 | Run 26 out of 290: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=224963540 Step 1 took 16247ms Step 2 took 5529ms ********** Factor found in step 2: 66137465709238095020620052739931682981289137 Found probable prime factor of 44 digits: 66137465709238095020620052739931682981289137 Composite cofactor 3708800786055058745394654337079050419122833318807867230013645124786458423626514438177517995226476455565069942304059160574785366014237 has 133 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 |
name 名前 | Serge Batalov |
---|---|
date 日付 | August 21, 2015 05:59:19 UTC 2015 年 8 月 21 日 (金) 14 時 59 分 19 秒 (日本時間) |
composite number 合成数 | 3708800786055058745394654337079050419122833318807867230013645124786458423626514438177517995226476455565069942304059160574785366014237<133> |
prime factors 素因数 | 270763510062916212845166504900234502345652383277735171<54> 13697565027108932915992113586640126341512930270793847307919847440870910357137247<80> |
factorization results 素因数分解の結果 | Divisors found: r1=270763510062916212845166504900234502345652383277735171 (pp54) r2=13697565027108932915992113586640126341512930270793847307919847440870910357137247 (pp80) Version: Msieve v. 1.51 (SVN 719M) Total time: 64.17 hours. Scaled time: 154.00 units (timescale=2.400). Factorization parameters were as follows: name: test type: gnfs n: 3708800786055058745394654337079050419122833318807867230013645124786458423626514438177517995226476455565069942304059160574785366014237 skew: 1308381.97 Y0: -75498158047287455349371445 Y1: 3602923578943 c0: -2658877374869937775500131710581056 c1: -4988847142472333095682695064 c2: 13707012331301318805428 c3: 5687927879386058 c4: -4780023951 c5: 1512 Factor base limits: 8100000/8100000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved algebraic special-q in [4050000, 10050001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 1602385 x 1602619 Total sieving time: 62.24 hours. Total relation processing time: 0.15 hours. Matrix solve time: 1.59 hours. Time per square root: 0.19 hours. Prototype def-par.txt line would be: gnfs,132,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,8100000,8100000,28,28,55,55,2.5,2.5,100000 total time: 64.17 hours. |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 118 | Makoto Kamada | October 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 590 | 290 | Cyp | January 4, 2014 19:31:30 UTC 2014 年 1 月 5 日 (日) 4 時 31 分 30 秒 (日本時間) |
300 | Serge Batalov | January 9, 2014 04:51:25 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 25 秒 (日本時間) | |||
45 | 11e6 | 3730 | 230 | Ignacio Santos | February 3, 2014 21:32:15 UTC 2014 年 2 月 4 日 (火) 6 時 32 分 15 秒 (日本時間) |
3500 | Serge Batalov | August 19, 2015 21:23:08 UTC 2015 年 8 月 20 日 (木) 6 時 23 分 8 秒 (日本時間) | |||
50 | 43e6 | 180 / 6693 | Ignacio Santos | January 5, 2014 22:16:54 UTC 2014 年 1 月 6 日 (月) 7 時 16 分 54 秒 (日本時間) |
name 名前 | Serge Batalov |
---|---|
date 日付 | May 24, 2014 22:16:17 UTC 2014 年 5 月 25 日 (日) 7 時 16 分 17 秒 (日本時間) |
composite number 合成数 | 19488835687391194482047564240832418818691086006561824982754473530974456293488170593872772814575804028062016390202101587554029193503607022511704893<146> |
prime factors 素因数 | 76360588735912612431535891627398748029297349<44> 255221129250219321357137589287407489493572776856499734241329483025399088846767307115109714780001644057<102> |
factorization results 素因数分解の結果 | Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=3392657045 Step 1 took 37757ms Step 2 took 23080ms ********** Factor found in step 2: 76360588735912612431535891627398748029297349 Found probable prime factor of 44 digits: 76360588735912612431535891627398748029297349 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 | 418 | 118 | Makoto Kamada | October 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間) |
300 | Ignacio Santos | October 21, 2013 22:15:13 UTC 2013 年 10 月 22 日 (火) 7 時 15 分 13 秒 (日本時間) | |||
40 | 3e6 | 110 | Ignacio Santos | October 21, 2013 22:15:13 UTC 2013 年 10 月 22 日 (火) 7 時 15 分 13 秒 (日本時間) | |
45 | 11e6 | 3772 / 4437 | 32 | Ignacio Santos | October 21, 2013 22:15:13 UTC 2013 年 10 月 22 日 (火) 7 時 15 分 13 秒 (日本時間) |
230 | Ignacio Santos | October 26, 2013 11:50:51 UTC 2013 年 10 月 26 日 (土) 20 時 50 分 51 秒 (日本時間) | |||
230 | Ignacio Santos | October 26, 2013 22:05:24 UTC 2013 年 10 月 27 日 (日) 7 時 5 分 24 秒 (日本時間) | |||
230 | Ignacio Santos | October 27, 2013 13:26:01 UTC 2013 年 10 月 27 日 (日) 22 時 26 分 1 秒 (日本時間) | |||
850 | Serge Batalov | November 8, 2013 17:10:16 UTC 2013 年 11 月 9 日 (土) 2 時 10 分 16 秒 (日本時間) | |||
400 | Serge Batalov | January 6, 2014 02:24:25 UTC 2014 年 1 月 6 日 (月) 11 時 24 分 25 秒 (日本時間) | |||
1800 | Serge Batalov | May 24, 2014 17:36:03 UTC 2014 年 5 月 25 日 (日) 2 時 36 分 3 秒 (日本時間) |
name 名前 | Serge Batalov |
---|---|
date 日付 | November 1, 2013 15:52:57 UTC 2013 年 11 月 2 日 (土) 0 時 52 分 57 秒 (日本時間) |
composite number 合成数 | 6372335790527609298736266935328025389322979542315839392103295495192870781104682367168153314728654678935824638510374237541924486637751902721850515438116135239899808741457022279896062147870100873767567822179697879<211> |
prime factors 素因数 | 233782872875344382907556209066067<33> 27257496291977767419291463544724027669713232457928056354148101588477554127056125940713011435036808374406145447997833319235111178347889133973204785673891249671276965840694309120237<179> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2898156848 Step 1 took 18365ms Step 2 took 14125ms ********** Factor found in step 2: 233782872875344382907556209066067 Found probable prime factor of 33 digits: 233782872875344382907556209066067 Probable prime cofactor |
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 | October 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間) |
name 名前 | Serge Batalov |
---|---|
date 日付 | November 2, 2013 13:46:04 UTC 2013 年 11 月 2 日 (土) 22 時 46 分 4 秒 (日本時間) |
composite number 合成数 | 916194903913219606772506621760493245131657131342754331391575303838097732617648702135859518858108421863592657669011733692864501538283608712763109607648847047353487799009559715056666120360005349967442250593690480257<213> |
prime factors 素因数 | 19307126483492120896971149479692957629<38> |
composite cofactor 合成数の残り | 47453716362016886327755889873675821488317867584394039662344793732931687574341667602661706166193207993156351306423928443165834094845553121822162986296658110414637612576318016533<176> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2150748137 Step 1 took 20970ms Step 2 took 14616ms ********** Factor found in step 2: 19307126483492120896971149479692957629 Found probable prime factor of 38 digits: 19307126483492120896971149479692957629 Composite cofactor |
name 名前 | Erik Branger |
---|---|
date 日付 | December 17, 2018 19:29:06 UTC 2018 年 12 月 18 日 (火) 4 時 29 分 6 秒 (日本時間) |
composite number 合成数 | 47453716362016886327755889873675821488317867584394039662344793732931687574341667602661706166193207993156351306423928443165834094845553121822162986296658110414637612576318016533<176> |
prime factors 素因数 | 48985923933948334929852088813345089055715877400004811188377757793577<68> 968721472437726245022408988034421710710860860788557536720550978920910873988994236421551359991115050425436429<108> |
factorization results 素因数分解の結果 | Number: 59993_220 N = 47453716362016886327755889873675821488317867584394039662344793732931687574341667602661706166193207993156351306423928443165834094845553121822162986296658110414637612576318016533 (176 digits) SNFS difficulty: 221 digits. Divisors found: r1=48985923933948334929852088813345089055715877400004811188377757793577 (pp68) r2=968721472437726245022408988034421710710860860788557536720550978920910873988994236421551359991115050425436429 (pp108) Version: Msieve v. 1.52 (SVN unknown) Total time: 76.85 hours. Factorization parameters were as follows: n: 47453716362016886327755889873675821488317867584394039662344793732931687574341667602661706166193207993156351306423928443165834094845553121822162986296658110414637612576318016533 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 6 c0: -7 skew: 1.00 type: snfs lss: 1 rlim: 536870912 alim: 536870912 lpbr: 29 lpba: 28 mfbr: 58 mfba: 56 rlambda: 2.8 alambda: 2.8 side: 1 Factor base limits: 536870912/536870912 Large primes per side: 3 Large prime bits: 29/28 Relations: 7386572 relations Pruned matrix : 6527745 x 6527970 Total pre-computation time approximately 300 CPU-days. Pre-computation saved approximately 8 G relations. Total batch smoothness checking time: 39.85 hours. Total relation processing time: 0.39 hours. Matrix solve time: 36.05 hours. time per square root: 0.56 hours. Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000 total time: 76.85 hours. Intel64 Family 6 Model 60 Stepping 3, GenuineIntel Windows-10-10.0.17134-SP0 processors: 8, speed: 3.50GHz |
software ソフトウェア | GGNFS, NFS_factory, Msieve |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 118 | Makoto Kamada | October 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 590 | 290 | Cyp | January 5, 2014 17:13:09 UTC 2014 年 1 月 6 日 (月) 2 時 13 分 9 秒 (日本時間) |
300 | Serge Batalov | January 9, 2014 04:51:26 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 26 秒 (日本時間) | |||
45 | 11e6 | 1500 / 3682 | Dmitry Domanov | May 5, 2014 07:31:10 UTC 2014 年 5 月 5 日 (月) 16 時 31 分 10 秒 (日本時間) | |
50 | 43e6 | 189 / 7194 | 39 | Cyp | January 30, 2014 04:23:28 UTC 2014 年 1 月 30 日 (木) 13 時 23 分 28 秒 (日本時間) |
150 | Cyp | February 5, 2014 19:35:36 UTC 2014 年 2 月 6 日 (木) 4 時 35 分 36 秒 (日本時間) |
name 名前 | Erik Branger |
---|---|
date 日付 | February 1, 2022 20:44:34 UTC 2022 年 2 月 2 日 (水) 5 時 44 分 34 秒 (日本時間) |
composite number 合成数 | 6294497647424299671186963617441859325515171108300512961930391565436495185841954359612016242074480475451092303458865845210984441622969656470555885006455036834915879584094015998260211838880804801259987<199> |
prime factors 素因数 | 167305860942123330847117343726028946790408797787<48> 37622696610740827755974969366436129155230788686205485615619721625099548199323905918163513006447739826015134599828294413238428758739140887651733270170601<152> |
factorization results 素因数分解の結果 | Number: 59993_222 N = 6294497647424299671186963617441859325515171108300512961930391565436495185841954359612016242074480475451092303458865845210984441622969656470555885006455036834915879584094015998260211838880804801259987 (199 digits) SNFS difficulty: 223 digits. Divisors found: r1=167305860942123330847117343726028946790408797787 (pp48) r2=37622696610740827755974969366436129155230788686205485615619721625099548199323905918163513006447739826015134599828294413238428758739140887651733270170601 (pp152) Version: Msieve v. 1.52 (SVN unknown) Total time: 42.45 hours. Factorization parameters were as follows: n: 6294497647424299671186963617441859325515171108300512961930391565436495185841954359612016242074480475451092303458865845210984441622969656470555885006455036834915879584094015998260211838880804801259987 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 600 c0: -7 skew: 1.00 type: snfs lss: 1 rlim: 536870912 alim: 60000000 lpbr: 29 lpba: 28 mfbr: 58 mfba: 56 rlambda: 2.8 alambda: 2.8 side: 1 Number of cores used: 6 Number of threads per core: 1 Factor base limits: 536870912/60000000 Large primes per side: 3 Large prime bits: 29/28 Total raw relations: 33503313 Relations: 8400860 relations Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G rational relations. Total batch smoothness checking time: 23.64 hours. Total relation processing time: 0.33 hours. Pruned matrix : 7282697 x 7282922 Matrix solve time: 17.90 hours. time per square root: 0.58 hours. Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000 total time: 42.45 hours. Intel64 Family 6 Model 158 Stepping 10, GenuineIntel Windows-10-10.0.22000-SP0 processors: 12, speed: 3.19GHz |
software ソフトウェア | GGNFS, NFS_factory, Msieve |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 118 | Makoto Kamada | October 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2090 | 290 | Cyp | January 2, 2014 09:03:53 UTC 2014 年 1 月 2 日 (木) 18 時 3 分 53 秒 (日本時間) |
300 | Serge Batalov | January 9, 2014 04:51:27 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 27 秒 (日本時間) | |||
1500 | Dmitry Domanov | February 12, 2014 22:44:39 UTC 2014 年 2 月 13 日 (木) 7 時 44 分 39 秒 (日本時間) | |||
45 | 11e6 | 1500 / 3876 | Dmitry Domanov | May 13, 2014 12:07:15 UTC 2014 年 5 月 13 日 (火) 21 時 7 分 15 秒 (日本時間) | |
50 | 43e6 | 39 / 7137 | Cyp | January 25, 2014 23:42:10 UTC 2014 年 1 月 26 日 (日) 8 時 42 分 10 秒 (日本時間) |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | May 19, 2014 05:52:43 UTC 2014 年 5 月 19 日 (月) 14 時 52 分 43 秒 (日本時間) |
composite number 合成数 | 7070990402711603719546776280519659026001023764449177614527660368092722274070732014145108154920249790371097661767909852264466093976183719350119444475767941706796230996787788911898459769673745909852331<199> |
prime factors 素因数 | 2071725456229675594259859746057768800247147<43> 3413092396702055919068854952954541528828992148410843161911584687304886078005444720867110672897268283675367444060018598151246111262783360773098625212178919873<157> |
factorization results 素因数分解の結果 | Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2336274041 Step 1 took 110634ms Step 2 took 35340ms ********** Factor found in step 2: 2071725456229675594259859746057768800247147 Found probable prime factor of 43 digits: 2071725456229675594259859746057768800247147 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 118 | Makoto Kamada | October 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2090 | 290 | Cyp | January 3, 2014 05:09:30 UTC 2014 年 1 月 3 日 (金) 14 時 9 分 30 秒 (日本時間) |
300 | Serge Batalov | January 9, 2014 04:51:27 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 27 秒 (日本時間) | |||
1500 | Dmitry Domanov | February 11, 2014 11:51:15 UTC 2014 年 2 月 11 日 (火) 20 時 51 分 15 秒 (日本時間) | |||
45 | 11e6 | 1500 / 3350 | Dmitry Domanov | May 13, 2014 12:07:43 UTC 2014 年 5 月 13 日 (火) 21 時 7 分 43 秒 (日本時間) | |
50 | 43e6 | 189 / 7137 | Cyp | February 11, 2014 21:15:21 UTC 2014 年 2 月 12 日 (水) 6 時 15 分 21 秒 (日本時間) |
name 名前 | Cyp |
---|---|
date 日付 | January 2, 2014 00:45:29 UTC 2014 年 1 月 2 日 (木) 9 時 45 分 29 秒 (日本時間) |
composite number 合成数 | 286681920501726678365738156117590788044451279426670553088230598860774571454816113737270612076216818650845325319535796878489046055191085944008849788903340116268897899703968502332428267773097<189> |
prime factors 素因数 | 30567829833603084236704826086123006360099231193<47> |
composite cofactor 合成数の残り | 9378550000516506169510074578626353409223866589155226584018332738610749300463955160451447362851513129308232983760539241744143208021858232904529<142> |
factorization results 素因数分解の結果 | Run 196 out of 290: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2627541283 Step 1 took 16113ms Step 2 took 5656ms ********** Factor found in step 2: 30567829833603084236704826086123006360099231193 Found probable prime factor of 47 digits: 30567829833603084236704826086123006360099231193 Composite cofactor 9378550000516506169510074578626353409223866589155226584018332738610749300463955160451447362851513129308232983760539241744143208021858232904529 has 142 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 |
name 名前 | Serge Batalov |
---|---|
date 日付 | January 5, 2014 00:59:05 UTC 2014 年 1 月 5 日 (日) 9 時 59 分 5 秒 (日本時間) |
composite number 合成数 | 9378550000516506169510074578626353409223866589155226584018332738610749300463955160451447362851513129308232983760539241744143208021858232904529<142> |
prime factors 素因数 | 130910239426479561478221478228124361171329<42> 71641072857280879561358142856547995575956976728762722111538799112654979777206772239778163629801230801<101> |
factorization results 素因数分解の結果 | Using B1=43000000, B2=582162027730, polynomial Dickson(30), sigma=3612403732 Step 1 took 134453ms Step 2 took 85164ms ********** Factor found in step 2: 130910239426479561478221478228124361171329 Found probable prime factor of 42 digits: 130910239426479561478221478228124361171329 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 | 118 | Makoto Kamada | October 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 290 | Cyp | January 2, 2014 00:45:28 UTC 2014 年 1 月 2 日 (木) 9 時 45 分 28 秒 (日本時間) | |
45 | 11e6 | 730 / 2657 | 230 | Ignacio Santos | January 4, 2014 18:31:19 UTC 2014 年 1 月 5 日 (日) 3 時 31 分 19 秒 (日本時間) |
500 | Serge Batalov | January 4, 2014 22:39:00 UTC 2014 年 1 月 5 日 (日) 7 時 39 分 0 秒 (日本時間) | |||
50 | 43e6 | 500 / 7378 | Serge Batalov | January 4, 2014 23:01:02 UTC 2014 年 1 月 5 日 (日) 8 時 1 分 2 秒 (日本時間) |
name 名前 | Serge Batalov |
---|---|
date 日付 | November 1, 2013 15:55:57 UTC 2013 年 11 月 2 日 (土) 0 時 55 分 57 秒 (日本時間) |
composite number 合成数 | 138039207133877566706239815828210165908170472322210046504495747432509912096768613012703615495049309041925823937538580361798959640468533052174858024282351492894981004207750225862271<180> |
prime factors 素因数 | 25746420231816094764579034463<29> |
composite cofactor 合成数の残り | 5361491263290104019740161923490298293951336897248555425145980047957451532977618812648481013508427590849554952226499147189915521380231917861880486062817<151> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1909057767 Step 1 took 15625ms Step 2 took 11825ms ********** Factor found in step 2: 25746420231816094764579034463 Found probable prime factor of 29 digits: 25746420231816094764579034463 Composite cofactor |
name 名前 | Serge Batalov |
---|---|
date 日付 | November 8, 2013 03:39:18 UTC 2013 年 11 月 8 日 (金) 12 時 39 分 18 秒 (日本時間) |
composite number 合成数 | 5361491263290104019740161923490298293951336897248555425145980047957451532977618812648481013508427590849554952226499147189915521380231917861880486062817<151> |
prime factors 素因数 | 3833388626898552652550445185856511363<37> 105777202952677195457902263238307515780543849<45> 13222411647535062273267472723169276613120149337477547880080120454825491<71> |
factorization results 素因数分解の結果 | Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2973114681 Step 1 took 36275ms Step 2 took 16035ms ********** Factor found in step 2: 105777202952677195457902263238307515780543849 Found probable prime factor of 45 digits: 105777202952677195457902263238307515780543849 Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2014910838 Step 1 took 33674ms Step 2 took 13738ms ********** Factor found in step 2: 3833388626898552652550445185856511363 Found probable prime factor of 37 digits: 3833388626898552652550445185856511363 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 418 | 118 | Makoto Kamada | October 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間) |
300 | Ignacio Santos | November 3, 2013 11:12:22 UTC 2013 年 11 月 3 日 (日) 20 時 12 分 22 秒 (日本時間) | |||
40 | 3e6 | 110 / 2126 | Ignacio Santos | November 3, 2013 11:12:22 UTC 2013 年 11 月 3 日 (日) 20 時 12 分 22 秒 (日本時間) | |
45 | 11e6 | 32 / 4437 | Ignacio Santos | November 3, 2013 11:12:22 UTC 2013 年 11 月 3 日 (日) 20 時 12 分 22 秒 (日本時間) |
name 名前 | Ignacio Santos |
---|---|
date 日付 | October 21, 2013 21:56:38 UTC 2013 年 10 月 22 日 (火) 6 時 56 分 38 秒 (日本時間) |
composite number 合成数 | 4687291059435870822838869666649473738634237024896093084122055712998652695503296228721638248381156501865051745509651<115> |
prime factors 素因数 | 298284815694203150657662861008473<33> 15714145718504179822763169201172156470076284685051829424071607056339193193508832587<83> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:24939721 Step 1 took 4750ms Step 2 took 4344ms ********** Factor found in step 2: 298284815694203150657662861008473 Found probable prime factor of 33 digits: 298284815694203150657662861008473 Probable prime cofactor 15714145718504179822763169201172156470076284685051829424071607056339193193508832587 has 83 digits |
software ソフトウェア | GMP-ECM 7.0 |
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 | October 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間) |
name 名前 | Cyp |
---|---|
date 日付 | February 10, 2014 13:26:03 UTC 2014 年 2 月 10 日 (月) 22 時 26 分 3 秒 (日本時間) |
composite number 合成数 | 4848513297693468348257508892557456540469413496043142388866227315159153558269715486321396614106624708962221429028455583435430827855445485653243757527763982059435885161166273783117<178> |
prime factors 素因数 | 114893172391293634859321757591092614451571239<45> |
composite cofactor 合成数の残り | 42200186458258842372845957720364485099963897997016258329360454584610325511251700953574216360321197640478985230733607731031049517834603<134> |
factorization results 素因数分解の結果 | Run 80 out of 150: Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3666709892 Step 1 took 231681ms Step 2 took 57359ms ********** Factor found in step 2: 114893172391293634859321757591092614451571239 Found probable prime factor of 45 digits: 114893172391293634859321757591092614451571239 Composite cofactor 42200186458258842372845957720364485099963897997016258329360454584610325511251700953574216360321197640478985230733607731031049517834603 has 134 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 |
name 名前 | Erik Branger |
---|---|
date 日付 | May 16, 2014 11:20:37 UTC 2014 年 5 月 16 日 (金) 20 時 20 分 37 秒 (日本時間) |
composite number 合成数 | 42200186458258842372845957720364485099963897997016258329360454584610325511251700953574216360321197640478985230733607731031049517834603<134> |
prime factors 素因数 | 62354198385784078652543639394712953073286592013441715910118636939<65> 676781797388640941520194795527082530187599398601858376197776967247777<69> |
factorization results 素因数分解の結果 | Number: 59993_228 N = 42200186458258842372845957720364485099963897997016258329360454584610325511251700953574216360321197640478985230733607731031049517834603 (134 digits) Divisors found: r1=62354198385784078652543639394712953073286592013441715910118636939 (pp65) r2=676781797388640941520194795527082530187599398601858376197776967247777 (pp69) Version: Msieve v. 1.51 (SVN 845) Total time: 142.00 hours. Factorization parameters were as follows: # Murphy_E = 4.934e-11, selected by Erik Branger # expecting poly E from 5.01e-011 to > 5.76e-011 n: 42200186458258842372845957720364485099963897997016258329360454584610325511251700953574216360321197640478985230733607731031049517834603 Y0: -113103469904290615671885256 Y1: 150915256670101 c0: 363809583699070830832192769322375 c1: -5212050837200201256560426615 c2: -3041567468701355978919 c3: 934561537420029 c4: -477833102 c5: 2280 skew: 1129297.31 type: gnfs # selected mechanically rlim: 12300000 alim: 12300000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.6 alambda: 2.6 Factor base limits: 12300000/12300000 Large primes per side: 3 Large prime bits: 28/28 Sieved algebraic special-q in [0, 0) Total raw relations: 21163405 Relations: 2625766 relations Pruned matrix : 1622042 x 1622268 Polynomial selection time: 0.00 hours. Total sieving time: 138.68 hours. Total relation processing time: 0.17 hours. Matrix solve time: 2.33 hours. time per square root: 0.82 hours. Prototype def-par.txt line would be: gnfs,133,5,65,2000,1e-05,0.28,250,20,50000,3600,12300000,12300000,28,28,54,54,2.6,2.6,100000 total time: 142.00 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 | 118 | Makoto Kamada | October 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 590 | 290 | Cyp | January 2, 2014 07:20:02 UTC 2014 年 1 月 2 日 (木) 16 時 20 分 2 秒 (日本時間) |
300 | Serge Batalov | January 9, 2014 04:51:28 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 28 秒 (日本時間) | |||
45 | 11e6 | 0 / 2103 | - | - | |
50 | 43e6 | 639 / 7530 | 39 | Cyp | January 23, 2014 18:07:38 UTC 2014 年 1 月 24 日 (金) 3 時 7 分 38 秒 (日本時間) |
150 | Cyp | February 10, 2014 13:26:02 UTC 2014 年 2 月 10 日 (月) 22 時 26 分 2 秒 (日本時間) | |||
450 | Ignacio Santos | April 29, 2014 15:41:23 UTC 2014 年 4 月 30 日 (水) 0 時 41 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 | 118 | Makoto Kamada | October 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2090 | 290 | Cyp | January 6, 2014 18:18:05 UTC 2014 年 1 月 7 日 (火) 3 時 18 分 5 秒 (日本時間) |
300 | Serge Batalov | January 9, 2014 04:51:29 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 29 秒 (日本時間) | |||
1500 | Dmitry Domanov | February 12, 2014 22:45:10 UTC 2014 年 2 月 13 日 (木) 7 時 45 分 10 秒 (日本時間) | |||
45 | 11e6 | 1500 / 3876 | Dmitry Domanov | May 13, 2014 12:08:13 UTC 2014 年 5 月 13 日 (火) 21 時 8 分 13 秒 (日本時間) | |
50 | 43e6 | 39 / 7137 | Cyp | January 25, 2014 12:59:49 UTC 2014 年 1 月 25 日 (土) 21 時 59 分 49 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 | 118 | Makoto Kamada | October 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2090 | 290 | Cyp | January 2, 2014 15:58:47 UTC 2014 年 1 月 3 日 (金) 0 時 58 分 47 秒 (日本時間) |
300 | Serge Batalov | January 9, 2014 04:51:30 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 30 秒 (日本時間) | |||
1500 | Dmitry Domanov | February 12, 2014 22:45:19 UTC 2014 年 2 月 13 日 (木) 7 時 45 分 19 秒 (日本時間) | |||
45 | 11e6 | 1500 / 3876 | Dmitry Domanov | May 13, 2014 12:08:30 UTC 2014 年 5 月 13 日 (火) 21 時 8 分 30 秒 (日本時間) | |
50 | 43e6 | 39 / 7137 | Cyp | January 24, 2014 14:25:51 UTC 2014 年 1 月 24 日 (金) 23 時 25 分 51 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 | 918 | 118 | Makoto Kamada | October 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間) |
800 | Serge Batalov | January 6, 2014 20:25:01 UTC 2014 年 1 月 7 日 (火) 5 時 25 分 1 秒 (日本時間) | |||
40 | 3e6 | 1800 | 300 | Serge Batalov | January 9, 2014 04:51:32 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 32 秒 (日本時間) |
1500 | Dmitry Domanov | February 12, 2014 22:45:32 UTC 2014 年 2 月 13 日 (木) 7 時 45 分 32 秒 (日本時間) | |||
45 | 11e6 | 1500 / 3875 | Dmitry Domanov | May 13, 2014 12:08:47 UTC 2014 年 5 月 13 日 (火) 21 時 8 分 47 秒 (日本時間) | |
50 | 43e6 | 47 / 7143 | Cyp | January 22, 2014 15:23:27 UTC 2014 年 1 月 23 日 (木) 0 時 23 分 27 秒 (日本時間) |
name 名前 | Serge Batalov |
---|---|
date 日付 | November 1, 2013 15:51:19 UTC 2013 年 11 月 2 日 (土) 0 時 51 分 19 秒 (日本時間) |
composite number 合成数 | 582810943713672322112715229008718292129815052360146535799789382368784881405652676015273365820962154548025488856188502405746308519594969128858914526769397760423747035531007043019966676360001505607<195> |
prime factors 素因数 | 22959090971763588806138577180481<32> |
composite cofactor 合成数の残り | 25384756932687219930453518491249876151812998558356222673663613374518774284411564972964658099752552521270073374713652965116597216285816352805048553746849223166183047<164> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=691027848 Step 1 took 18389ms ********** Factor found in step 1: 22959090971763588806138577180481 Found probable prime factor of 32 digits: 22959090971763588806138577180481 Composite cofactor |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 118 | Makoto Kamada | October 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2090 | 290 | Cyp | January 3, 2014 02:02:08 UTC 2014 年 1 月 3 日 (金) 11 時 2 分 8 秒 (日本時間) |
300 | Serge Batalov | January 9, 2014 04:51:33 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 33 秒 (日本時間) | |||
1500 | Dmitry Domanov | February 12, 2014 22:45:42 UTC 2014 年 2 月 13 日 (木) 7 時 45 分 42 秒 (日本時間) | |||
45 | 11e6 | 1500 / 3876 | Dmitry Domanov | May 6, 2014 09:51:42 UTC 2014 年 5 月 6 日 (火) 18 時 51 分 42 秒 (日本時間) | |
50 | 43e6 | 39 / 7137 | Cyp | January 27, 2014 01:53:43 UTC 2014 年 1 月 27 日 (月) 10 時 53 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 | |
---|---|---|---|---|---|
35 | 1e6 | 918 | 118 | Makoto Kamada | October 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間) |
800 | Serge Batalov | January 6, 2014 20:25:02 UTC 2014 年 1 月 7 日 (火) 5 時 25 分 2 秒 (日本時間) | |||
40 | 3e6 | 1800 | 300 | Serge Batalov | January 9, 2014 04:51:33 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 33 秒 (日本時間) |
1500 | Dmitry Domanov | February 12, 2014 22:45:52 UTC 2014 年 2 月 13 日 (木) 7 時 45 分 52 秒 (日本時間) | |||
45 | 11e6 | 1508 / 4040 | 8 | Cyp | January 10, 2014 17:52:33 UTC 2014 年 1 月 11 日 (土) 2 時 52 分 33 秒 (日本時間) |
1500 | Dmitry Domanov | May 13, 2014 12:09:13 UTC 2014 年 5 月 13 日 (火) 21 時 9 分 13 秒 (日本時間) |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | February 13, 2014 05:36:21 UTC 2014 年 2 月 13 日 (木) 14 時 36 分 21 秒 (日本時間) |
composite number 合成数 | 2564921495617023582343765462892474754680486209859280018358518044649548328155408969960170701415738731790800059852954545569471328494086423429199159935228996016545168831679260395313357443102502569193375574125604641438482200629<223> |
prime factors 素因数 | 5759252780179237635923525639895493<34> |
composite cofactor 合成数の残り | 445356644953027901331247310741740642869010445393480147283961861498034854521409795693118571063181259880481998367355453802637935024930174156525318073927379485466089114967695978220510146501553<189> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3830289319 Step 1 took 30637ms Step 2 took 11410ms ********** Factor found in step 2: 5759252780179237635923525639895493 Found probable prime factor of 34 digits: 5759252780179237635923525639895493 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 918 | 118 | Makoto Kamada | October 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間) |
800 | Serge Batalov | January 6, 2014 20:25:02 UTC 2014 年 1 月 7 日 (火) 5 時 25 分 2 秒 (日本時間) | |||
40 | 3e6 | 1800 | 300 | Serge Batalov | January 9, 2014 04:51:34 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 34 秒 (日本時間) |
1500 | Dmitry Domanov | February 12, 2014 22:46:03 UTC 2014 年 2 月 13 日 (木) 7 時 46 分 3 秒 (日本時間) | |||
45 | 11e6 | 1587 / 4040 | 87 | Cyp | March 6, 2014 13:30:27 UTC 2014 年 3 月 6 日 (木) 22 時 30 分 27 秒 (日本時間) |
1500 | Dmitry Domanov | May 13, 2014 12:09:30 UTC 2014 年 5 月 13 日 (火) 21 時 9 分 30 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 | 918 | 118 | Makoto Kamada | October 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間) |
800 | Serge Batalov | January 6, 2014 20:25:03 UTC 2014 年 1 月 7 日 (火) 5 時 25 分 3 秒 (日本時間) | |||
40 | 3e6 | 1800 | 300 | Serge Batalov | January 9, 2014 04:51:35 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 35 秒 (日本時間) |
1500 | Dmitry Domanov | February 12, 2014 22:46:15 UTC 2014 年 2 月 13 日 (木) 7 時 46 分 15 秒 (日本時間) | |||
45 | 11e6 | 1587 / 4040 | 87 | Cyp | March 7, 2014 17:58:48 UTC 2014 年 3 月 8 日 (土) 2 時 58 分 48 秒 (日本時間) |
1500 | Dmitry Domanov | May 13, 2014 12:09:46 UTC 2014 年 5 月 13 日 (火) 21 時 9 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 | 118 | Makoto Kamada | October 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2090 | 290 | Cyp | January 3, 2014 02:09:26 UTC 2014 年 1 月 3 日 (金) 11 時 9 分 26 秒 (日本時間) |
300 | Serge Batalov | January 9, 2014 04:51:35 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 35 秒 (日本時間) | |||
1500 | Dmitry Domanov | February 12, 2014 22:46:24 UTC 2014 年 2 月 13 日 (木) 7 時 46 分 24 秒 (日本時間) | |||
45 | 11e6 | 1500 / 4013 | Dmitry Domanov | May 13, 2014 12:10:03 UTC 2014 年 5 月 13 日 (火) 21 時 10 分 3 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 | 118 | Makoto Kamada | October 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2090 | 290 | Cyp | January 5, 2014 08:35:52 UTC 2014 年 1 月 5 日 (日) 17 時 35 分 52 秒 (日本時間) |
300 | Serge Batalov | January 9, 2014 04:51:37 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 37 秒 (日本時間) | |||
1500 | Dmitry Domanov | February 12, 2014 22:46:36 UTC 2014 年 2 月 13 日 (木) 7 時 46 分 36 秒 (日本時間) | |||
45 | 11e6 | 1500 / 4013 | Dmitry Domanov | May 13, 2014 12:10:19 UTC 2014 年 5 月 13 日 (火) 21 時 10 分 19 秒 (日本時間) |
composite cofactor 合成数の残り | 1145589400607813183439206502949792919389991135109531260911262874682046042097739557031246776452129457702678681528962513018633468046934458590775164481767798028553497311059<169> |
---|
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 118 | Makoto Kamada | October 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2090 | 290 | Cyp | January 4, 2014 23:49:27 UTC 2014 年 1 月 5 日 (日) 8 時 49 分 27 秒 (日本時間) |
300 | Serge Batalov | January 9, 2014 04:51:38 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 38 秒 (日本時間) | |||
1500 | Dmitry Domanov | February 12, 2014 22:46:46 UTC 2014 年 2 月 13 日 (木) 7 時 46 分 46 秒 (日本時間) | |||
45 | 11e6 | 1500 / 4013 | Dmitry Domanov | May 6, 2014 09:52:14 UTC 2014 年 5 月 6 日 (火) 18 時 52 分 14 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 | 118 | Makoto Kamada | October 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 0 | - | - | |
45 | 11e6 | 2050 | 850 | Serge Batalov | November 8, 2013 17:17:19 UTC 2013 年 11 月 9 日 (土) 2 時 17 分 19 秒 (日本時間) |
400 | Serge Batalov | January 6, 2014 02:29:53 UTC 2014 年 1 月 6 日 (月) 11 時 29 分 53 秒 (日本時間) | |||
800 | Serge Batalov | February 23, 2014 19:25:13 UTC 2014 年 2 月 24 日 (月) 4 時 25 分 13 秒 (日本時間) | |||
50 | 43e6 | 690 / 7090 | Dmitry Domanov | May 19, 2014 06:13:32 UTC 2014 年 5 月 19 日 (月) 15 時 13 分 32 秒 (日本時間) | |
55 | 11e7 | 1 / 17395 | Dmitry Domanov | May 19, 2014 06:13:32 UTC 2014 年 5 月 19 日 (月) 15 時 13 分 32 秒 (日本時間) |
name 名前 | Serge Batalov |
---|---|
date 日付 | November 1, 2013 23:11:01 UTC 2013 年 11 月 2 日 (土) 8 時 11 分 1 秒 (日本時間) |
composite number 合成数 | 7653054480434444490438660945332938242188210948276804266564822646755529342538196350724589294857819235155764559111812098900159843181615686674564313548768153261308829387904170203719755704121882797550609583192200566527<214> |
prime factors 素因数 | 9365535225043372970562338374352940781<37> |
composite cofactor 合成数の残り | 817150787065562740799608135512986065617721357546705538848641321766113003200265160987715166767242153549914911779324553709434089761265652106304676156159209153543466721939449738267<177> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3759282747 Step 1 took 20770ms Step 2 took 14573ms ********** Factor found in step 2: 9365535225043372970562338374352940781 Found probable prime factor of 37 digits: 9365535225043372970562338374352940781 Composite cofactor |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 118 | Makoto Kamada | October 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2090 | 290 | Cyp | January 1, 2014 20:59:56 UTC 2014 年 1 月 2 日 (木) 5 時 59 分 56 秒 (日本時間) |
300 | Serge Batalov | January 9, 2014 04:51:38 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 38 秒 (日本時間) | |||
1500 | Dmitry Domanov | February 12, 2014 22:47:02 UTC 2014 年 2 月 13 日 (木) 7 時 47 分 2 秒 (日本時間) | |||
45 | 11e6 | 1500 / 4013 | Dmitry Domanov | May 13, 2014 12:10:55 UTC 2014 年 5 月 13 日 (火) 21 時 10 分 55 秒 (日本時間) |
name 名前 | Cyp |
---|---|
date 日付 | February 8, 2014 07:27:56 UTC 2014 年 2 月 8 日 (土) 16 時 27 分 56 秒 (日本時間) |
composite number 合成数 | 41307589741563819450917404783037526262240074435812552696253683878353932829075098705044962027697860111476690806090942792402358499637236370614888489027630777424723904052603332388479590617740515607161940297<203> |
prime factors 素因数 | 11308512835624223767543421314805572991<38> 359268505810217724534014033961759422250623<42> |
composite cofactor 合成数の残り | 10167290021848044300876608045559411497007011152134677011598368528202961127505305156655142208087903821076319744490835444608329<125> |
factorization results 素因数分解の結果 | Run 83 out of 197: Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3115601812 Step 1 took 272018ms Step 2 took 65843ms ********** Factor found in step 2: 11308512835624223767543421314805572991 Found probable prime factor of 38 digits: 11308512835624223767543421314805572991 Composite cofactor 3652787094288482799328817448332737460263637644586738484999638132230149525240800076767026766359356631038083308135141305726954620487881375836141939508003167059911238967 has 166 digits -- Run 92 out of 197: Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3255574250 Step 1 took 196786ms Step 2 took 53042ms ********** Factor found in step 2: 359268505810217724534014033961759422250623 Found probable prime factor of 42 digits: 359268505810217724534014033961759422250623 Composite cofactor 10167290021848044300876608045559411497007011152134677011598368528202961127505305156655142208087903821076319744490835444608329 has 125 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 |
name 名前 | Cyp |
---|---|
date 日付 | February 9, 2014 01:24:54 UTC 2014 年 2 月 9 日 (日) 10 時 24 分 54 秒 (日本時間) |
composite number 合成数 | 10167290021848044300876608045559411497007011152134677011598368528202961127505305156655142208087903821076319744490835444608329<125> |
prime factors 素因数 | 18805445164525970963694641657320827008628539<44> 540656705166826678404710296075078464976448561036780676408732753726278823803489611<81> |
factorization results 素因数分解の結果 | 02/08/14 17:30:23 v1.34.3, 02/08/14 17:30:23 v1.34.3, **************************** 02/08/14 17:30:23 v1.34.3, Starting factorization of 10167290021848044300876608045559411497007011152134677011598368528202961127505305156655142208087903821076319744490835444608329 02/08/14 17:30:23 v1.34.3, using pretesting plan: none 02/08/14 17:30:23 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 02/08/14 17:30:23 v1.34.3, **************************** 02/08/14 17:30:23 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C125 02/08/14 17:30:23 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C125 02/08/14 17:30:23 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C125 02/08/14 17:30:23 v1.34.3, final ECM pretested depth: 0.00 02/08/14 17:30:23 v1.34.3, scheduler: switching to sieve method 02/08/14 17:30:23 v1.34.3, nfs: commencing nfs on c125: 10167290021848044300876608045559411497007011152134677011598368528202961127505305156655142208087903821076319744490835444608329 02/08/14 17:30:23 v1.34.3, nfs: commencing poly selection with 8 threads 02/08/14 17:30:23 v1.34.3, nfs: setting deadline of 3176 seconds 02/08/14 18:25:00 v1.34.3, nfs: completed 295 ranges of size 250 in 3276.2527 seconds 02/08/14 18:25:00 v1.34.3, nfs: best poly = # norm 7.961053e-12 alpha -5.993403 e 1.754e-10 rroots 5 02/08/14 18:25:00 v1.34.3, nfs: commencing lattice sieving with 8 threads 02/08/14 18:30:26 v1.34.3, nfs: commencing lattice sieving with 8 threads [60 lines snipped] 02/09/14 00:34:49 v1.34.3, nfs: commencing lattice sieving with 8 threads 02/09/14 00:41:12 v1.34.3, nfs: commencing lattice sieving with 8 threads 02/09/14 00:47:39 v1.34.3, nfs: commencing msieve filtering 02/09/14 00:49:25 v1.34.3, nfs: commencing lattice sieving with 8 threads 02/09/14 00:55:35 v1.34.3, nfs: commencing lattice sieving with 8 threads 02/09/14 01:01:59 v1.34.3, nfs: commencing lattice sieving with 8 threads 02/09/14 01:08:29 v1.34.3, nfs: commencing lattice sieving with 8 threads 02/09/14 01:14:41 v1.34.3, nfs: commencing msieve filtering 02/09/14 01:16:30 v1.34.3, nfs: commencing lattice sieving with 8 threads 02/09/14 01:22:54 v1.34.3, nfs: commencing lattice sieving with 8 threads 02/09/14 01:29:23 v1.34.3, nfs: commencing lattice sieving with 8 threads 02/09/14 01:35:32 v1.34.3, nfs: commencing lattice sieving with 8 threads 02/09/14 01:41:12 v1.34.3, nfs: commencing msieve filtering 02/09/14 01:43:38 v1.34.3, nfs: commencing msieve linear algebra 02/09/14 02:10:44 v1.34.3, nfs: commencing msieve sqrt 02/09/14 02:24:53 v1.34.3, prp81 = 540656705166826678404710296075078464976448561036780676408732753726278823803489611 02/09/14 02:24:53 v1.34.3, prp44 = 18805445164525970963694641657320827008628539 02/09/14 02:24:53 v1.34.3, NFS elapsed time = 32069.4258 seconds. 02/09/14 02:24:53 v1.34.3, 02/09/14 02:24:53 v1.34.3, 02/09/14 02:24:53 v1.34.3, Total factoring time = 32069.4533 seconds -- Sun Feb 9 00:47:39 2014 Sun Feb 9 00:47:39 2014 commencing relation filtering Sun Feb 9 00:47:39 2014 estimated available RAM is 15988.7 MB Sun Feb 9 00:47:39 2014 commencing duplicate removal, pass 1 Sun Feb 9 00:48:13 2014 found 1223145 hash collisions in 10145975 relations Sun Feb 9 00:48:24 2014 added 62758 free relations Sun Feb 9 00:48:24 2014 commencing duplicate removal, pass 2 Sun Feb 9 00:48:32 2014 found 720842 duplicates and 9487891 unique relations Sun Feb 9 00:48:32 2014 memory use: 41.3 MB Sun Feb 9 00:48:32 2014 reading ideals above 100000 Sun Feb 9 00:48:32 2014 commencing singleton removal, initial pass Sun Feb 9 00:49:19 2014 memory use: 344.5 MB Sun Feb 9 00:49:19 2014 reading all ideals from disk Sun Feb 9 00:49:19 2014 memory use: 345.9 MB Sun Feb 9 00:49:19 2014 keeping 10975710 ideals with weight <= 200, target excess is 48777 Sun Feb 9 00:49:20 2014 commencing in-memory singleton removal Sun Feb 9 00:49:20 2014 begin with 9487891 relations and 10975710 unique ideals Sun Feb 9 00:49:25 2014 reduce to 2741829 relations and 2952183 ideals in 30 passes Sun Feb 9 00:49:25 2014 max relations containing the same ideal: 86 Sun Feb 9 01:14:41 2014 Sun Feb 9 01:14:41 2014 commencing relation filtering Sun Feb 9 01:14:41 2014 estimated available RAM is 15988.7 MB Sun Feb 9 01:14:41 2014 commencing duplicate removal, pass 1 Sun Feb 9 01:15:17 2014 found 1363255 hash collisions in 10838615 relations Sun Feb 9 01:15:28 2014 added 100 free relations Sun Feb 9 01:15:28 2014 commencing duplicate removal, pass 2 Sun Feb 9 01:15:37 2014 found 801345 duplicates and 10037370 unique relations Sun Feb 9 01:15:37 2014 memory use: 41.3 MB Sun Feb 9 01:15:37 2014 reading ideals above 720000 Sun Feb 9 01:15:37 2014 commencing singleton removal, initial pass Sun Feb 9 01:16:23 2014 memory use: 344.5 MB Sun Feb 9 01:16:24 2014 reading all ideals from disk Sun Feb 9 01:16:24 2014 memory use: 296.0 MB Sun Feb 9 01:16:25 2014 commencing in-memory singleton removal Sun Feb 9 01:16:25 2014 begin with 10037370 relations and 11147926 unique ideals Sun Feb 9 01:16:30 2014 reduce to 3576638 relations and 3548706 ideals in 24 passes Sun Feb 9 01:16:30 2014 max relations containing the same ideal: 71 Sun Feb 9 01:41:12 2014 Sun Feb 9 01:41:12 2014 commencing relation filtering Sun Feb 9 01:41:12 2014 estimated available RAM is 15988.7 MB Sun Feb 9 01:41:12 2014 commencing duplicate removal, pass 1 Sun Feb 9 01:41:51 2014 found 1501133 hash collisions in 11467497 relations Sun Feb 9 01:42:02 2014 added 47 free relations Sun Feb 9 01:42:02 2014 commencing duplicate removal, pass 2 Sun Feb 9 01:42:11 2014 found 885039 duplicates and 10582505 unique relations Sun Feb 9 01:42:11 2014 memory use: 41.3 MB Sun Feb 9 01:42:11 2014 reading ideals above 720000 Sun Feb 9 01:42:11 2014 commencing singleton removal, initial pass Sun Feb 9 01:42:59 2014 memory use: 344.5 MB Sun Feb 9 01:42:59 2014 reading all ideals from disk Sun Feb 9 01:43:00 2014 memory use: 312.2 MB Sun Feb 9 01:43:00 2014 commencing in-memory singleton removal Sun Feb 9 01:43:00 2014 begin with 10582505 relations and 11369453 unique ideals Sun Feb 9 01:43:05 2014 reduce to 4366644 relations and 4135561 ideals in 20 passes Sun Feb 9 01:43:05 2014 max relations containing the same ideal: 82 Sun Feb 9 01:43:06 2014 removing 491021 relations and 442811 ideals in 48210 cliques Sun Feb 9 01:43:06 2014 commencing in-memory singleton removal Sun Feb 9 01:43:06 2014 begin with 3875623 relations and 4135561 unique ideals Sun Feb 9 01:43:08 2014 reduce to 3827854 relations and 3644258 ideals in 9 passes Sun Feb 9 01:43:08 2014 max relations containing the same ideal: 75 Sun Feb 9 01:43:09 2014 removing 363873 relations and 315663 ideals in 48210 cliques Sun Feb 9 01:43:09 2014 commencing in-memory singleton removal Sun Feb 9 01:43:09 2014 begin with 3463981 relations and 3644258 unique ideals Sun Feb 9 01:43:11 2014 reduce to 3433877 relations and 3298071 ideals in 10 passes Sun Feb 9 01:43:11 2014 max relations containing the same ideal: 70 Sun Feb 9 01:43:12 2014 relations with 0 large ideals: 479 Sun Feb 9 01:43:12 2014 relations with 1 large ideals: 2313 Sun Feb 9 01:43:12 2014 relations with 2 large ideals: 33400 Sun Feb 9 01:43:12 2014 relations with 3 large ideals: 190024 Sun Feb 9 01:43:12 2014 relations with 4 large ideals: 571081 Sun Feb 9 01:43:12 2014 relations with 5 large ideals: 962157 Sun Feb 9 01:43:12 2014 relations with 6 large ideals: 941999 Sun Feb 9 01:43:12 2014 relations with 7+ large ideals: 732424 Sun Feb 9 01:43:12 2014 commencing 2-way merge Sun Feb 9 01:43:13 2014 reduce to 1978606 relation sets and 1842800 unique ideals Sun Feb 9 01:43:13 2014 commencing full merge Sun Feb 9 01:43:30 2014 memory use: 207.7 MB Sun Feb 9 01:43:31 2014 found 980247 cycles, need 963000 Sun Feb 9 01:43:31 2014 weight of 963000 cycles is about 67531176 (70.13/cycle) Sun Feb 9 01:43:31 2014 distribution of cycle lengths: Sun Feb 9 01:43:31 2014 1 relations: 127010 Sun Feb 9 01:43:31 2014 2 relations: 113716 Sun Feb 9 01:43:31 2014 3 relations: 109799 Sun Feb 9 01:43:31 2014 4 relations: 96422 Sun Feb 9 01:43:31 2014 5 relations: 86747 Sun Feb 9 01:43:31 2014 6 relations: 72557 Sun Feb 9 01:43:31 2014 7 relations: 64282 Sun Feb 9 01:43:31 2014 8 relations: 53970 Sun Feb 9 01:43:31 2014 9 relations: 46027 Sun Feb 9 01:43:31 2014 10+ relations: 192470 Sun Feb 9 01:43:31 2014 heaviest cycle: 22 relations Sun Feb 9 01:43:31 2014 commencing cycle optimization Sun Feb 9 01:43:32 2014 start with 5731918 relations Sun Feb 9 01:43:37 2014 pruned 123232 relations Sun Feb 9 01:43:37 2014 memory use: 193.8 MB Sun Feb 9 01:43:37 2014 distribution of cycle lengths: Sun Feb 9 01:43:37 2014 1 relations: 127010 Sun Feb 9 01:43:37 2014 2 relations: 116282 Sun Feb 9 01:43:37 2014 3 relations: 113259 Sun Feb 9 01:43:37 2014 4 relations: 98460 Sun Feb 9 01:43:37 2014 5 relations: 88309 Sun Feb 9 01:43:37 2014 6 relations: 73374 Sun Feb 9 01:43:37 2014 7 relations: 64475 Sun Feb 9 01:43:37 2014 8 relations: 53728 Sun Feb 9 01:43:37 2014 9 relations: 45659 Sun Feb 9 01:43:37 2014 10+ relations: 182444 Sun Feb 9 01:43:37 2014 heaviest cycle: 22 relations Sun Feb 9 01:43:38 2014 RelProcTime: 146 Sun Feb 9 01:43:38 2014 Sun Feb 9 01:43:38 2014 commencing linear algebra Sun Feb 9 01:43:38 2014 read 963000 cycles Sun Feb 9 01:43:39 2014 cycles contain 3285692 unique relations Sun Feb 9 01:43:55 2014 read 3285692 relations Sun Feb 9 01:43:58 2014 using 20 quadratic characters above 134217222 Sun Feb 9 01:44:08 2014 building initial matrix Sun Feb 9 01:44:28 2014 memory use: 417.5 MB Sun Feb 9 01:44:28 2014 read 963000 cycles Sun Feb 9 01:44:28 2014 matrix is 962818 x 963000 (288.6 MB) with weight 91379031 (94.89/col) Sun Feb 9 01:44:28 2014 sparse part has weight 65061554 (67.56/col) Sun Feb 9 01:44:34 2014 filtering completed in 2 passes Sun Feb 9 01:44:34 2014 matrix is 960095 x 960277 (288.3 MB) with weight 91259533 (95.03/col) Sun Feb 9 01:44:34 2014 sparse part has weight 65022046 (67.71/col) Sun Feb 9 01:44:36 2014 matrix starts at (0, 0) Sun Feb 9 01:44:36 2014 matrix is 960095 x 960277 (288.3 MB) with weight 91259533 (95.03/col) Sun Feb 9 01:44:36 2014 sparse part has weight 65022046 (67.71/col) Sun Feb 9 01:44:36 2014 saving the first 48 matrix rows for later Sun Feb 9 01:44:37 2014 matrix includes 64 packed rows Sun Feb 9 01:44:37 2014 matrix is 960047 x 960277 (278.4 MB) with weight 72253551 (75.24/col) Sun Feb 9 01:44:37 2014 sparse part has weight 63385343 (66.01/col) Sun Feb 9 01:44:37 2014 using block size 65536 for processor cache size 8192 kB Sun Feb 9 01:44:39 2014 commencing Lanczos iteration (8 threads) Sun Feb 9 01:44:39 2014 memory use: 269.1 MB Sun Feb 9 01:44:44 2014 linear algebra at 0.3%, ETA 0h26m Sun Feb 9 02:10:43 2014 lanczos halted after 15184 iterations (dim = 960044) Sun Feb 9 02:10:44 2014 recovered 27 nontrivial dependencies Sun Feb 9 02:10:44 2014 BLanczosTime: 1626 Sun Feb 9 02:10:44 2014 Sun Feb 9 02:10:44 2014 commencing square root phase Sun Feb 9 02:10:44 2014 reading relations for dependency 1 Sun Feb 9 02:10:44 2014 read 479614 cycles Sun Feb 9 02:10:45 2014 cycles contain 1642200 unique relations Sun Feb 9 02:10:57 2014 read 1642200 relations Sun Feb 9 02:11:02 2014 multiplying 1642200 relations Sun Feb 9 02:12:10 2014 multiply complete, coefficients have about 76.10 million bits Sun Feb 9 02:12:11 2014 initial square root is modulo 289889 Sun Feb 9 02:13:34 2014 GCD is N, no factor found Sun Feb 9 02:13:34 2014 reading relations for dependency 2 Sun Feb 9 02:13:34 2014 read 480487 cycles Sun Feb 9 02:13:34 2014 cycles contain 1643628 unique relations Sun Feb 9 02:13:47 2014 read 1643628 relations Sun Feb 9 02:13:51 2014 multiplying 1643628 relations Sun Feb 9 02:15:00 2014 multiply complete, coefficients have about 76.16 million bits Sun Feb 9 02:15:00 2014 initial square root is modulo 293201 Sun Feb 9 02:16:23 2014 GCD is N, no factor found Sun Feb 9 02:16:23 2014 reading relations for dependency 3 Sun Feb 9 02:16:23 2014 read 480116 cycles Sun Feb 9 02:16:24 2014 cycles contain 1642948 unique relations Sun Feb 9 02:16:36 2014 read 1642948 relations Sun Feb 9 02:16:41 2014 multiplying 1642948 relations Sun Feb 9 02:17:50 2014 multiply complete, coefficients have about 76.13 million bits Sun Feb 9 02:17:50 2014 initial square root is modulo 291677 Sun Feb 9 02:19:13 2014 GCD is 1, no factor found Sun Feb 9 02:19:13 2014 reading relations for dependency 4 Sun Feb 9 02:19:13 2014 read 479963 cycles Sun Feb 9 02:19:13 2014 cycles contain 1640410 unique relations Sun Feb 9 02:19:25 2014 read 1640410 relations Sun Feb 9 02:19:30 2014 multiplying 1640410 relations Sun Feb 9 02:20:39 2014 multiply complete, coefficients have about 76.01 million bits Sun Feb 9 02:20:39 2014 initial square root is modulo 286001 Sun Feb 9 02:22:03 2014 GCD is 1, no factor found Sun Feb 9 02:22:03 2014 reading relations for dependency 5 Sun Feb 9 02:22:03 2014 read 479586 cycles Sun Feb 9 02:22:03 2014 cycles contain 1639880 unique relations Sun Feb 9 02:22:16 2014 read 1639880 relations Sun Feb 9 02:22:20 2014 multiplying 1639880 relations Sun Feb 9 02:23:29 2014 multiply complete, coefficients have about 75.99 million bits Sun Feb 9 02:23:29 2014 initial square root is modulo 284989 Sun Feb 9 02:24:53 2014 sqrtTime: 849 -- n: 10167290021848044300876608045559411497007011152134677011598368528202961127505305156655142208087903821076319744490835444608329 skew: 97726.42 c0: 195885800647920612194165679941 c1: 3041667501422697976098755 c2: -97966782295981099143 c3: -925392035283971 c4: 13563724018 c5: 21840 Y0: -858202772861754358330668 Y1: 9580273671217 rlim: 7000000 alim: 7000000 lpbr: 27 lpba: 27 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 |
software ソフトウェア | yafu v1.34.3 |
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 | 918 | 118 | Makoto Kamada | October 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間) |
800 | Serge Batalov | January 6, 2014 20:25:04 UTC 2014 年 1 月 7 日 (火) 5 時 25 分 4 秒 (日本時間) | |||
40 | 3e6 | 300 | Serge Batalov | January 9, 2014 04:51:39 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 39 秒 (日本時間) | |
45 | 11e6 | 0 / 3681 | - | - | |
50 | 43e6 | 197 / 7537 | Cyp | February 8, 2014 07:27:54 UTC 2014 年 2 月 8 日 (土) 16 時 27 分 54 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 | 118 | Makoto Kamada | October 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2090 | 290 | Cyp | January 1, 2014 10:25:10 UTC 2014 年 1 月 1 日 (水) 19 時 25 分 10 秒 (日本時間) |
300 | Serge Batalov | January 9, 2014 04:51:40 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 40 秒 (日本時間) | |||
1500 | Dmitry Domanov | February 12, 2014 22:47:16 UTC 2014 年 2 月 13 日 (木) 7 時 47 分 16 秒 (日本時間) | |||
45 | 11e6 | 1500 / 4013 | Dmitry Domanov | May 13, 2014 12:11:36 UTC 2014 年 5 月 13 日 (火) 21 時 11 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 | |
---|---|---|---|---|---|
35 | 1e6 | 118 | Makoto Kamada | October 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2090 | 290 | Cyp | January 4, 2014 03:22:21 UTC 2014 年 1 月 4 日 (土) 12 時 22 分 21 秒 (日本時間) |
300 | Serge Batalov | January 9, 2014 04:51:40 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 40 秒 (日本時間) | |||
1500 | Dmitry Domanov | February 12, 2014 22:47:26 UTC 2014 年 2 月 13 日 (木) 7 時 47 分 26 秒 (日本時間) | |||
45 | 11e6 | 1567 / 4013 | 67 | Cyp | March 10, 2014 01:39:34 UTC 2014 年 3 月 10 日 (月) 10 時 39 分 34 秒 (日本時間) |
1500 | Dmitry Domanov | May 13, 2014 12:11:53 UTC 2014 年 5 月 13 日 (火) 21 時 11 分 53 秒 (日本時間) |
name 名前 | Serge Batalov |
---|---|
date 日付 | October 28, 2013 02:43:25 UTC 2013 年 10 月 28 日 (月) 11 時 43 分 25 秒 (日本時間) |
composite number 合成数 | 473599174548212040769627074591317458973090173835366349878809917892900440534058845171036789894277666933645045785594865427189218104338792011108110772636797345571346492181153894394172330583905947624193687538682199246172193871610894706984585373<240> |
prime factors 素因数 | 79185560280536316602920477227070112291<38> 5980877989249031763041421765607091778713546104697997874426092659332549200886077790772981180182234410914727167204088189403564435292415014525748979304104736690734722714371543319564592527691886707137533503<202> |
factorization results 素因数分解の結果 | GMP-ECM 6.4.4 [configured with GMP 5.1.3, --enable-asm-redc] [P-1] Using B1=200000000, B2=32834242809628, polynomial x^1, x0=2495813513 Step 1 took 160914ms Step 2 took 301903ms ********** Factor found in step 2: 79185560280536316602920477227070112291 Found probable prime factor of 38 digits: 79185560280536316602920477227070112291 Probable prime cofactor |
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 | October 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 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 | 118 | Makoto Kamada | October 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2090 | 290 | Cyp | January 3, 2014 23:50:00 UTC 2014 年 1 月 4 日 (土) 8 時 50 分 0 秒 (日本時間) |
300 | Serge Batalov | January 9, 2014 04:51:41 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 41 秒 (日本時間) | |||
1500 | Dmitry Domanov | February 12, 2014 22:47:37 UTC 2014 年 2 月 13 日 (木) 7 時 47 分 37 秒 (日本時間) | |||
45 | 11e6 | 1500 / 4013 | Dmitry Domanov | May 13, 2014 12:12:13 UTC 2014 年 5 月 13 日 (火) 21 時 12 分 13 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 | 918 | 118 | Makoto Kamada | October 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間) |
800 | Serge Batalov | January 6, 2014 20:25:05 UTC 2014 年 1 月 7 日 (火) 5 時 25 分 5 秒 (日本時間) | |||
40 | 3e6 | 1935 | 135 | Cyp | December 31, 2013 22:01:13 UTC 2014 年 1 月 1 日 (水) 7 時 1 分 13 秒 (日本時間) |
300 | Serge Batalov | January 9, 2014 04:51:42 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 42 秒 (日本時間) | |||
1500 | Dmitry Domanov | February 12, 2014 22:47:47 UTC 2014 年 2 月 13 日 (木) 7 時 47 分 47 秒 (日本時間) | |||
45 | 11e6 | 1500 / 4010 | Dmitry Domanov | May 13, 2014 12:12:32 UTC 2014 年 5 月 13 日 (火) 21 時 12 分 32 秒 (日本時間) |
name 名前 | Serge Batalov |
---|---|
date 日付 | November 2, 2013 13:45:01 UTC 2013 年 11 月 2 日 (土) 22 時 45 分 1 秒 (日本時間) |
composite number 合成数 | 11021112808811727147890954588908245757234001152878189402970927784858966169177468123420428220742758939232512354240209082982161802371240049682979620306475236068968787519073640791694424355391382544079968915238955731933163<218> |
prime factors 素因数 | 6837114297083333388507144355550317<34> 1611953863856460489751940106720545763960009598534595440622470584793666191691439561200746490581611219354395861044760899077664711187949329497235732601318715162216637236775541681785632439<184> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3058474683 Step 1 took 20713ms Step 2 took 14569ms ********** Factor found in step 2: 6837114297083333388507144355550317 Found probable prime factor of 34 digits: 6837114297083333388507144355550317 Probable prime cofactor |
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 | October 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間) |
name 名前 | Serge Batalov |
---|---|
date 日付 | January 9, 2014 17:29:34 UTC 2014 年 1 月 10 日 (金) 2 時 29 分 34 秒 (日本時間) |
composite number 合成数 | 102913635172209421799967455909910795535736596621431473704584406801921621435081781300081064816799316761572709078161580173634886925374678971273739876529774758138988435054334486493359181819236551815357730686584974294817890177139279<228> |
prime factors 素因数 | 457243100175300144353938200139543487<36> |
composite cofactor 合成数の残り | 225074222296091243675655871284100707850715595512113991139178138260951637968132165989494988445348391494517834124998025176981442814659577297833119976457098799505496937497481564260179574972700017<192> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4277155030 Step 1 took 20860ms Step 2 took 8149ms ********** Factor found in step 2: 457243100175300144353938200139543487 Found probable prime factor of 36 digits: 457243100175300144353938200139543487 Composite cofactor |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | March 4, 2014 06:01:05 UTC 2014 年 3 月 4 日 (火) 15 時 1 分 5 秒 (日本時間) |
composite number 合成数 | 225074222296091243675655871284100707850715595512113991139178138260951637968132165989494988445348391494517834124998025176981442814659577297833119976457098799505496937497481564260179574972700017<192> |
prime factors 素因数 | 10641006840191269172806186347061341221712871<44> |
composite cofactor 合成数の残り | 21151590791764362440855282219326306305380033809233825201883675449232821719640515175216135479709590982580392451419418402662587185780478168318857527527<149> |
factorization results 素因数分解の結果 | Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2398104050 Step 1 took 84018ms Step 2 took 30254ms ********** Factor found in step 2: 10641006840191269172806186347061341221712871 Found probable prime factor of 44 digits: 10641006840191269172806186347061341221712871 |
name 名前 | Thomas Kozlowski |
---|---|
date 日付 | August 18, 2024 15:03:38 UTC 2024 年 8 月 19 日 (月) 0 時 3 分 38 秒 (日本時間) |
composite number 合成数 | 21151590791764362440855282219326306305380033809233825201883675449232821719640515175216135479709590982580392451419418402662587185780478168318857527527<149> |
prime factors 素因数 | 6615856868936033452057657907503613366845660444064514737741<58> 3197105259498453370744122138815922795759667311438269813261257852011016237744004551677535747<91> |
factorization results 素因数分解の結果 | 6615856868936033452057657907503613366845660444064514737741 3197105259498453370744122138815922795759667311438269813261257852011016237744004551677535747 |
software ソフトウェア | cado-nfs |
execution environment 実行環境 | 2x Xeon E5-2698v4, 256GB DDR4, Ubuntu Server 22.04 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 118 | Makoto Kamada | October 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2090 | 290 | Cyp | January 4, 2014 10:25:51 UTC 2014 年 1 月 4 日 (土) 19 時 25 分 51 秒 (日本時間) |
300 | Serge Batalov | January 9, 2014 04:51:43 UTC 2014 年 1 月 9 日 (木) 13 時 51 分 43 秒 (日本時間) | |||
1500 | Dmitry Domanov | February 12, 2014 22:47:56 UTC 2014 年 2 月 13 日 (木) 7 時 47 分 56 秒 (日本時間) | |||
45 | 11e6 | 1567 | 67 | Cyp | February 18, 2014 15:00:20 UTC 2014 年 2 月 19 日 (水) 0 時 0 分 20 秒 (日本時間) |
1500 | Dmitry Domanov | February 28, 2014 19:33:37 UTC 2014 年 3 月 1 日 (土) 4 時 33 分 37 秒 (日本時間) | |||
50 | 43e6 | 6954 | 500 | Dmitry Domanov | March 11, 2014 11:46:07 UTC 2014 年 3 月 11 日 (火) 20 時 46 分 7 秒 (日本時間) |
6454 | Ignacio Santos | November 2, 2023 17:28:17 UTC 2023 年 11 月 3 日 (金) 2 時 28 分 17 秒 (日本時間) | |||
55 | 11e7 | 100 / 15173 | Dmitry Domanov | March 14, 2014 06:00:30 UTC 2014 年 3 月 14 日 (金) 15 時 0 分 30 秒 (日本時間) |
name 名前 | NFS@Home + Greg Childers |
---|---|
date 日付 | July 22, 2022 22:40:13 UTC 2022 年 7 月 23 日 (土) 7 時 40 分 13 秒 (日本時間) |
composite number 合成数 | 599999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993<252> |
prime factors 素因数 | 232350683105746112770709151339707709930636889163488057552108911395236389495916717<81> 2582303576559451881554996886679465754203241259986571893097310300520915264736107327736845477232306671460860551567715077817919752896447719728354148426932013239111238294405629<172> |
factorization results 素因数分解の結果 | p81 factor: 232350683105746112770709151339707709930636889163488057552108911395236389495916717 p172 factor: 2582303576559451881554996886679465754203241259986571893097310300520915264736107327736845477232306671460860551567715077817919752896447719728354148426932013239111238294405629 Complete log at: https://pastebin.com/DP9FYSLu |
software ソフトウェア | GGNFS + Msieve |
execution environment 実行環境 | The LA only phase: The 9.66M matrix took about 30 minutes to solve on 4x A100's. |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
40 | 3e6 | 2880 | Erik Branger | April 15, 2019 00:00:00 UTC 2019 年 4 月 15 日 (月) 9 時 0 分 0 秒 (日本時間) | |
45 | 11e6 | 2000 | Dmitry Domanov | April 18, 2019 16:55:43 UTC 2019 年 4 月 19 日 (金) 1 時 55 分 43 秒 (日本時間) | |
50 | 43e6 | 5000 | 2000 | Dmitry Domanov | April 19, 2019 20:19:24 UTC 2019 年 4 月 20 日 (土) 5 時 19 分 24 秒 (日本時間) |
3000 | Dmitry Domanov | June 6, 2019 22:13:29 UTC 2019 年 6 月 7 日 (金) 7 時 13 分 29 秒 (日本時間) | |||
55 | 11e7 | 1000 / 15837 | Dmitry Domanov | September 8, 2019 08:33:18 UTC 2019 年 9 月 8 日 (日) 17 時 33 分 18 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 | |
---|---|---|---|---|---|
40 | 3e6 | 2880 | Erik Branger | April 15, 2019 00:00:00 UTC 2019 年 4 月 15 日 (月) 9 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 | |
---|---|---|---|---|---|
40 | 3e6 | 2880 | Erik Branger | April 15, 2019 00:00:00 UTC 2019 年 4 月 15 日 (月) 9 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 | |
---|---|---|---|---|---|
40 | 3e6 | 2880 | Erik Branger | April 15, 2019 00:00:00 UTC 2019 年 4 月 15 日 (月) 9 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 | |
---|---|---|---|---|---|
40 | 3e6 | 2880 | Erik Branger | April 15, 2019 00:00:00 UTC 2019 年 4 月 15 日 (月) 9 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 | |
---|---|---|---|---|---|
40 | 3e6 | 2880 | Erik Branger | April 15, 2019 00:00:00 UTC 2019 年 4 月 15 日 (月) 9 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 | |
---|---|---|---|---|---|
40 | 3e6 | 2880 | Erik Branger | April 15, 2019 00:00:00 UTC 2019 年 4 月 15 日 (月) 9 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 | |
---|---|---|---|---|---|
40 | 3e6 | 2880 | Erik Branger | April 15, 2019 00:00:00 UTC 2019 年 4 月 15 日 (月) 9 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 | |
---|---|---|---|---|---|
40 | 3e6 | 2880 | Erik Branger | April 15, 2019 00:00:00 UTC 2019 年 4 月 15 日 (月) 9 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 | |
---|---|---|---|---|---|
40 | 3e6 | 2880 | Erik Branger | April 15, 2019 00:00:00 UTC 2019 年 4 月 15 日 (月) 9 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 | |
---|---|---|---|---|---|
40 | 3e6 | 2880 | Erik Branger | April 15, 2019 00:00:00 UTC 2019 年 4 月 15 日 (月) 9 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 | |
---|---|---|---|---|---|
40 | 3e6 | 2880 | Erik Branger | April 15, 2019 00:00:00 UTC 2019 年 4 月 15 日 (月) 9 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 | |
---|---|---|---|---|---|
40 | 3e6 | 2880 | Erik Branger | April 15, 2019 00:00:00 UTC 2019 年 4 月 15 日 (月) 9 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 | |
---|---|---|---|---|---|
40 | 3e6 | 2880 | Erik Branger | April 15, 2019 00:00:00 UTC 2019 年 4 月 15 日 (月) 9 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 | |
---|---|---|---|---|---|
40 | 3e6 | 2880 | Erik Branger | April 15, 2019 00:00:00 UTC 2019 年 4 月 15 日 (月) 9 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 | |
---|---|---|---|---|---|
40 | 3e6 | 2880 | Erik Branger | April 15, 2019 00:00:00 UTC 2019 年 4 月 15 日 (月) 9 時 0 分 0 秒 (日本時間) |
name 名前 | Thomas Kozlowski |
---|---|
date 日付 | September 17, 2024 02:54:27 UTC 2024 年 9 月 17 日 (火) 11 時 54 分 27 秒 (日本時間) |
composite number 合成数 | 70027308660793538728282942000922898763117334573624826484120924797120864256740460716270699449157098095173481520207372071550745268959657301592869524973<149> |
prime factors 素因数 | 11621140739432079137931178188430601920063089913<47> 6025854968194434540212066832241832745873127925887012823737736441686208831185562307288322258862518153621<103> |
factorization results 素因数分解の結果 | FACTORS 11621140739432079137931178188430601920063089913 6025854968194434540212066832241832745873127925887012823737736441686208831185562307288322258862518153621 POLYNOMIAL n: 70027308660793538728282942000922898763117334573624826484120924797120864256740460716270699449157098095173481520207372071550745268959657301592869524973 skew: 212502.332 c0: -3736288814668390822899914417707020 c1: -87246722254254484291098315156 c2: 350648818090473163332775 c3: 3795410717848326989 c4: -3618677238870 c5: 415800 Y0: 21396041671062761614667338369 Y1: 160329558185069187924659 # MurphyE (Bf=2.147e+09,Bg=2.147e+09,area=4.027e+14) = 7.098e-07 # f(x) = 415800*x^5-3618677238870*x^4+3795410717848326989*x^3+350648818090473163332775*x^2-87246722254254484291098315156*x-3736288814668390822899914417707020 # g(x) = 160329558185069187924659*x+21396041671062761614667338369 |
software ソフトウェア | cado-nfs |
execution environment 実行環境 | 4x Xeon E7-8890v4, 1024GB DDR4, Ubuntu Server 24.04 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
40 | 3e6 | 2880 | Erik Branger | April 15, 2019 00:00:00 UTC 2019 年 4 月 15 日 (月) 9 時 0 分 0 秒 (日本時間) | |
45 | 11e6 | 5000 | 1000 | Dmitry Domanov | April 29, 2019 06:13:19 UTC 2019 年 4 月 29 日 (月) 15 時 13 分 19 秒 (日本時間) |
4000 | Robert Balfour | April 12, 2020 11:26:51 UTC 2020 年 4 月 12 日 (日) 20 時 26 分 51 秒 (日本時間) | |||
50 | 43e6 | 6454 | Ignacio Santos | November 21, 2023 16:07:48 UTC 2023 年 11 月 22 日 (水) 1 時 7 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 | |
---|---|---|---|---|---|
40 | 3e6 | 2880 | Erik Branger | April 15, 2019 00:00:00 UTC 2019 年 4 月 15 日 (月) 9 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 | |
---|---|---|---|---|---|
40 | 3e6 | 2880 | Erik Branger | April 15, 2019 00:00:00 UTC 2019 年 4 月 15 日 (月) 9 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 | |
---|---|---|---|---|---|
40 | 3e6 | 2880 | Erik Branger | April 15, 2019 00:00:00 UTC 2019 年 4 月 15 日 (月) 9 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 | |
---|---|---|---|---|---|
40 | 3e6 | 2880 | Erik Branger | April 15, 2019 00:00:00 UTC 2019 年 4 月 15 日 (月) 9 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 | |
---|---|---|---|---|---|
40 | 3e6 | 2880 | Erik Branger | April 15, 2019 00:00:00 UTC 2019 年 4 月 15 日 (月) 9 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 | |
---|---|---|---|---|---|
40 | 3e6 | 2880 | Erik Branger | April 15, 2019 00:00:00 UTC 2019 年 4 月 15 日 (月) 9 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 | |
---|---|---|---|---|---|
40 | 3e6 | 2880 | Erik Branger | April 15, 2019 00:00:00 UTC 2019 年 4 月 15 日 (月) 9 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 | |
---|---|---|---|---|---|
40 | 3e6 | 2880 | Erik Branger | April 15, 2019 00:00:00 UTC 2019 年 4 月 15 日 (月) 9 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 | |
---|---|---|---|---|---|
40 | 3e6 | 2880 | Erik Branger | April 15, 2019 00:00:00 UTC 2019 年 4 月 15 日 (月) 9 時 0 分 0 秒 (日本時間) |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | April 17, 2019 09:12:58 UTC 2019 年 4 月 17 日 (水) 18 時 12 分 58 秒 (日本時間) |
composite number 合成数 | 9128390085010030542226420643447325118812551459278023271966177674302739782539413433040323113911837650093312147059541408761721027925609837427564969995618029960709940188440121834664938551716023136427<196> |
prime factors 素因数 | 7093755403827560610404280766186747046129<40> |
composite cofactor 合成数の残り | 1286820529515952434840307849859247523540977614385340551277832846199846072651991117356805673802731949340827323098739919192495754384760495257075914700964860763<157> |
factorization results 素因数分解の結果 | Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1294301738 Step 1 took 65719ms ********** Factor found in step 1: 7093755403827560610404280766186747046129 Found prime factor of 40 digits: 7093755403827560610404280766186747046129 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
40 | 3e6 | 2880 | Erik Branger | April 15, 2019 00:00:00 UTC 2019 年 4 月 15 日 (月) 9 時 0 分 0 秒 (日本時間) | |
45 | 11e6 | 6000 | 2000 | Dmitry Domanov | April 16, 2019 20:17:15 UTC 2019 年 4 月 17 日 (水) 5 時 17 分 15 秒 (日本時間) |
4000 | Robert Balfour | April 12, 2020 11:28:32 UTC 2020 年 4 月 12 日 (日) 20 時 28 分 32 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 | |
---|---|---|---|---|---|
40 | 3e6 | 2880 | Erik Branger | April 15, 2019 00:00:00 UTC 2019 年 4 月 15 日 (月) 9 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 | |
---|---|---|---|---|---|
40 | 3e6 | 2880 | Erik Branger | April 15, 2019 00:00:00 UTC 2019 年 4 月 15 日 (月) 9 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 | |
---|---|---|---|---|---|
40 | 3e6 | 2880 | Erik Branger | April 15, 2019 00:00:00 UTC 2019 年 4 月 15 日 (月) 9 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 | |
---|---|---|---|---|---|
40 | 3e6 | 2880 | Erik Branger | April 15, 2019 00:00:00 UTC 2019 年 4 月 15 日 (月) 9 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 | |
---|---|---|---|---|---|
40 | 3e6 | 2880 | Erik Branger | April 15, 2019 00:00:00 UTC 2019 年 4 月 15 日 (月) 9 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 | |
---|---|---|---|---|---|
40 | 3e6 | 2880 | Erik Branger | April 15, 2019 00:00:00 UTC 2019 年 4 月 15 日 (月) 9 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 | |
---|---|---|---|---|---|
40 | 3e6 | 2880 | Erik Branger | April 15, 2019 00:00:00 UTC 2019 年 4 月 15 日 (月) 9 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 | |
---|---|---|---|---|---|
40 | 3e6 | 2880 | Erik Branger | April 15, 2019 00:00:00 UTC 2019 年 4 月 15 日 (月) 9 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 | |
---|---|---|---|---|---|
40 | 3e6 | 2880 | Erik Branger | April 15, 2019 00:00:00 UTC 2019 年 4 月 15 日 (月) 9 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 | |
---|---|---|---|---|---|
40 | 3e6 | 2880 | Erik Branger | April 15, 2019 00:00:00 UTC 2019 年 4 月 15 日 (月) 9 時 0 分 0 秒 (日本時間) |