name 名前 | Robert Backstrom |
---|---|
date 日付 | January 19, 2009 10:04:47 UTC 2009 年 1 月 19 日 (月) 19 時 4 分 47 秒 (日本時間) |
composite number 合成数 | 337539162933012410515382537215517688826646930689241738350758117129791107473305010789348372233<93> |
prime factors 素因数 | 191496859003974475105682158910488587574696781<45> 1762635505817914536013970629736936246987392363693<49> |
factorization results 素因数分解の結果 | Number: n N=337539162933012410515382537215517688826646930689241738350758117129791107473305010789348372233 ( 93 digits) SNFS difficulty: 102 digits. Divisors found: r1=191496859003974475105682158910488587574696781 (pp45) r2=1762635505817914536013970629736936246987392363693 (pp49) Version: GGNFS-0.77.1-20051202-athlon Total time: 0.53 hours. Scaled time: 0.97 units (timescale=1.829). Factorization parameters were as follows: name: KA_4_5_100_7 n: 337539162933012410515382537215517688826646930689241738350758117129791107473305010789348372233 deg: 5 c5: 410 c0: 13 m: 100000000000000000000 skew: 0.50 type: snfs rlim: 320000 alim: 320000 lpbr: 28 lpba: 28 mfbr: 56 mfba: 56 rlambda: 2.5 alambda: 2.5 qintsize: 5000 Factor base limits: 320000/320000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 56/56 Sieved algebraic special-q in [160000, 205001) Primes: RFBsize:27608, AFBsize:27356, largePrimes:3421418 encountered Relations: rels:2947643, finalFF:110338 Max relations in full relation-set: 48 Initial matrix: 55031 x 110338 with sparse part having weight 13990398. Pruned matrix : 47933 x 48272 with weight 3369240. Total sieving time: 0.47 hours. Total relation processing time: 0.04 hours. Matrix solve time: 0.01 hours. Total square root time: 0.01 hours, sqrts: 1. Prototype def-par.txt line would be: snfs,102,5,0,0,0,0,0,0,0,0,320000,320000,28,28,56,56,2.5,2.5,20000 total time: 0.53 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 | January 15, 2009 00:00:00 UTC 2009 年 1 月 15 日 (木) 9 時 0 分 0 秒 (日本時間) |
name 名前 | Robert Backstrom |
---|---|
date 日付 | January 19, 2009 10:52:34 UTC 2009 年 1 月 19 日 (月) 19 時 52 分 34 秒 (日本時間) |
composite number 合成数 | 2467340029083449908401427777071389719828177794433844854548394187576771140822696501492200817<91> |
prime factors 素因数 | 541569653892075251734476295882633<33> 4555905249401482963380109946391715265753948941966190484649<58> |
factorization results 素因数分解の結果 | GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM] Input number is 2467340029083449908401427777071389719828177794433844854548394187576771140822696501492200817 (91 digits) Using B1=998000, B2=1045563762, polynomial Dickson(6), sigma=3539449428 Step 1 took 6203ms Step 2 took 3703ms ********** Factor found in step 2: 541569653892075251734476295882633 Found probable prime factor of 33 digits: 541569653892075251734476295882633 Probable prime cofactor 4555905249401482963380109946391715265753948941966190484649 has 58 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 | January 15, 2009 00:00:00 UTC 2009 年 1 月 15 日 (木) 9 時 0 分 0 秒 (日本時間) |
name 名前 | Robert Backstrom |
---|---|
date 日付 | January 19, 2009 13:13:50 UTC 2009 年 1 月 19 日 (月) 22 時 13 分 50 秒 (日本時間) |
composite number 合成数 | 830245226089949982787598971305914990988801814389567259988255067533361683170321770649818763542109632869611<105> |
prime factors 素因数 | 6977028609160864473596822556661339871<37> 118996964553052701797392385505489843383257279117694713186886257581941<69> |
factorization results 素因数分解の結果 | Number: n N=830245226089949982787598971305914990988801814389567259988255067533361683170321770649818763542109632869611 ( 105 digits) SNFS difficulty: 111 digits. Divisors found: Tue Jan 20 00:07:32 2009 prp37 factor: 6977028609160864473596822556661339871 Tue Jan 20 00:07:32 2009 prp69 factor: 118996964553052701797392385505489843383257279117694713186886257581941 Tue Jan 20 00:07:32 2009 elapsed time 00:06:34 (Msieve 1.39 - dependency 4) Version: GGNFS-0.77.1-20051202-athlon Total time: 0.69 hours. Scaled time: 1.27 units (timescale=1.829). Factorization parameters were as follows: name: KA_4_5_107_7 n: 830245226089949982787598971305914990988801814389567259988255067533361683170321770649818763542109632869611 deg: 5 c5: 41 c0: 1300 m: 10000000000000000000000 skew: 1.99 type: snfs rlim: 450000 alim: 450000 lpbr: 28 lpba: 28 mfbr: 56 mfba: 56 rlambda: 2.5 alambda: 2.5 qintsize: 5000 Factor base limits: 450000/450000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 56/56 Sieved special-q in [100000, 290141) Primes: RFBsize:37706, AFBsize:37795, largePrimes:4122943 encountered Relations: rels:3438265, finalFF:80821 Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 112338 hash collisions in 3530633 relations Msieve: matrix is 89236 x 89484 (23.8 MB) Total sieving time: 0.65 hours. Total relation processing time: 0.05 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,111,5,0,0,0,0,0,0,0,0,450000,450000,28,28,56,56,2.5,2.5,50000 total time: 0.69 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 | January 15, 2009 00:00:00 UTC 2009 年 1 月 15 日 (木) 9 時 0 分 0 秒 (日本時間) |
name 名前 | Robert Backstrom |
---|---|
date 日付 | January 19, 2009 15:39:32 UTC 2009 年 1 月 20 日 (火) 0 時 39 分 32 秒 (日本時間) |
composite number 合成数 | 511860174781523096129837702871410736579275905118601747815230961298377028714107365792759051186017478152309613<108> |
prime factors 素因数 | 2390184965030426407296407175875310828352169<43> 214150863749160623946326406200826672877838975845177529655688925477<66> |
factorization results 素因数分解の結果 | Number: n N=511860174781523096129837702871410736579275905118601747815230961298377028714107365792759051186017478152309613 ( 108 digits) SNFS difficulty: 111 digits. Divisors found: Tue Jan 20 02:34:57 2009 prp43 factor: 2390184965030426407296407175875310828352169 Tue Jan 20 02:34:57 2009 prp66 factor: 214150863749160623946326406200826672877838975845177529655688925477 Tue Jan 20 02:34:57 2009 elapsed time 00:05:39 (Msieve 1.39 - dependency 2) Version: GGNFS-0.77.1-20051202-athlon Total time: 0.77 hours. Scaled time: 1.41 units (timescale=1.829). Factorization parameters were as follows: name: KA_4_5_108_7 n: 511860174781523096129837702871410736579275905118601747815230961298377028714107365792759051186017478152309613 deg: 5 c5: 41 c0: 130 m: 10000000000000000000000 skew: 1.99 type: snfs rlim: 450000 alim: 450000 lpbr: 28 lpba: 28 mfbr: 56 mfba: 56 rlambda: 2.5 alambda: 2.5 qintsize: 5000 Factor base limits: 450000/450000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 56/56 Sieved special-q in [100000, 300191) Primes: RFBsize:37706, AFBsize:37735, largePrimes:4200323 encountered Relations: rels:3518037, finalFF:79232 Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 132689 hash collisions in 3630178 relations Msieve: matrix is 94444 x 94692 (24.7 MB) Total sieving time: 0.72 hours. Total relation processing time: 0.05 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,111,5,0,0,0,0,0,0,0,0,450000,450000,28,28,56,56,2.5,2.5,50000 total time: 0.77 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 | January 15, 2009 00:00:00 UTC 2009 年 1 月 15 日 (木) 9 時 0 分 0 秒 (日本時間) |
name 名前 | Robert Backstrom |
---|---|
date 日付 | January 19, 2009 21:31:40 UTC 2009 年 1 月 20 日 (火) 6 時 31 分 40 秒 (日本時間) |
composite number 合成数 | 243097053108778136984165373438571844484903522635059863349607568848040049721944322939831479478897<96> |
prime factors 素因数 | 1756133435352425513182738620900779191051907<43> 138427438493586209714463563564622332183967287880120571<54> |
factorization results 素因数分解の結果 | Number: n N=243097053108778136984165373438571844484903522635059863349607568848040049721944322939831479478897 ( 96 digits) SNFS difficulty: 113 digits. Divisors found: r1=1756133435352425513182738620900779191051907 (pp43) r2=138427438493586209714463563564622332183967287880120571 (pp54) Version: GGNFS-0.77.1-20051202-athlon Total time: 1.06 hours. Scaled time: 1.94 units (timescale=1.829). Factorization parameters were as follows: name: KA_4_5_111_7 n: 243097053108778136984165373438571844484903522635059863349607568848040049721944322939831479478897 deg: 5 c5: 4100 c0: 13 m: 10000000000000000000000 skew: 0.32 type: snfs rlim: 480000 alim: 480000 lpbr: 28 lpba: 28 mfbr: 56 mfba: 56 rlambda: 2.5 alambda: 2.5 qintsize: 5000 Factor base limits: 480000/480000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 56/56 Sieved algebraic special-q in [240000, 345001) Primes: RFBsize:40005, AFBsize:39921, largePrimes:4792058 encountered Relations: rels:4122235, finalFF:101596 Max relations in full relation-set: 48 Initial matrix: 79993 x 101596 with sparse part having weight 13695970. Pruned matrix : 76115 x 76578 with weight 7943284. Total sieving time: 0.95 hours. Total relation processing time: 0.07 hours. Matrix solve time: 0.04 hours. Total square root time: 0.01 hours, sqrts: 1. Prototype def-par.txt line would be: snfs,113,5,0,0,0,0,0,0,0,0,480000,480000,28,28,56,56,2.5,2.5,50000 total time: 1.06 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 | January 15, 2009 00:00:00 UTC 2009 年 1 月 15 日 (木) 9 時 0 分 0 秒 (日本時間) |
name 名前 | Serge Batalov |
---|---|
date 日付 | January 19, 2009 06:56:52 UTC 2009 年 1 月 19 日 (月) 15 時 56 分 52 秒 (日本時間) |
composite number 合成数 | 345891366977036628673350653360590611769672214501506867825464160558908114163343345178011641<90> |
prime factors 素因数 | 3930355513162091606821126039498691<34> 88005109415345588123073252123601333380510933225681922451<56> |
factorization results 素因数分解の結果 | Factor found in step 2: 3930355513162091606821126039498691 |
software ソフトウェア | GMP-ECM 6.2.1 |
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 | January 15, 2009 00:00:00 UTC 2009 年 1 月 15 日 (木) 9 時 0 分 0 秒 (日本時間) |
name 名前 | Sinkiti Sibata |
---|---|
date 日付 | January 19, 2009 09:53:41 UTC 2009 年 1 月 19 日 (月) 18 時 53 分 41 秒 (日本時間) |
composite number 合成数 | 1518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518519<121> |
prime factors 素因数 | 41942095426732369193715236502410893<35> 36205118105536280255069438315208949195889419727129346127774643983566290888742102900883<86> |
factorization results 素因数分解の結果 | Number: 45557_120 N=1518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518519 ( 121 digits) SNFS difficulty: 121 digits. Divisors found: r1=41942095426732369193715236502410893 r2=36205118105536280255069438315208949195889419727129346127774643983566290888742102900883 Version: Total time: 1.59 hours. Scaled time: 3.17 units (timescale=1.991). Factorization parameters were as follows: name: 45557_120 n: 1518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518519 m: 1000000000000000000000000 deg: 5 c5: 41 c0: 13 skew: 0.79 type: snfs lss: 1 rlim: 740000 alim: 740000 lpbr: 25 lpba: 25 mfbr: 46 mfba: 46 rlambda: 2.2 alambda: 2.2 Factor base limits: 740000/740000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved rational special-q in [370000, 570001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 84577 x 84825 Total sieving time: 1.59 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,121,5,0,0,0,0,0,0,0,0,740000,740000,25,25,46,46,2.2,2.2,50000 total time: 1.59 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 | January 15, 2009 00:00:00 UTC 2009 年 1 月 15 日 (木) 9 時 0 分 0 秒 (日本時間) |
name 名前 | Sinkiti Sibata |
---|---|
date 日付 | January 20, 2009 07:15:42 UTC 2009 年 1 月 20 日 (火) 16 時 15 分 42 秒 (日本時間) |
composite number 合成数 | 1595775276973598678011037831407391019992414694887644832555308608201214056077442928890564306845304585047<103> |
prime factors 素因数 | 10400541347880596513151322002253490415160669<44> 153431943934224431017641592298558521171642330516337258884163<60> |
factorization results 素因数分解の結果 | Mon Jan 19 20:01:43 2009 Msieve v. 1.39 Mon Jan 19 20:01:43 2009 random seeds: 5b18ff20 202f51b7 Mon Jan 19 20:01:43 2009 factoring 1595775276973598678011037831407391019992414694887644832555308608201214056077442928890564306845304585047 (103 digits) Mon Jan 19 20:01:44 2009 searching for 15-digit factors Mon Jan 19 20:01:46 2009 commencing quadratic sieve (103-digit input) Mon Jan 19 20:01:46 2009 using multiplier of 2 Mon Jan 19 20:01:46 2009 using 32kb Intel Core sieve core Mon Jan 19 20:01:46 2009 sieve interval: 36 blocks of size 32768 Mon Jan 19 20:01:46 2009 processing polynomials in batches of 6 Mon Jan 19 20:01:46 2009 using a sieve bound of 3340487 (120000 primes) Mon Jan 19 20:01:46 2009 using large prime bound of 501073050 (28 bits) Mon Jan 19 20:01:46 2009 using double large prime bound of 4569007548480300 (44-53 bits) Mon Jan 19 20:01:46 2009 using trial factoring cutoff of 53 bits Mon Jan 19 20:01:46 2009 polynomial 'A' values have 13 factors Tue Jan 20 14:14:09 2009 120145 relations (28740 full + 91405 combined from 1795883 partial), need 120096 Tue Jan 20 14:14:11 2009 begin with 1824623 relations Tue Jan 20 14:14:12 2009 reduce to 317252 relations in 11 passes Tue Jan 20 14:14:12 2009 attempting to read 317252 relations Tue Jan 20 14:14:19 2009 recovered 317252 relations Tue Jan 20 14:14:19 2009 recovered 308230 polynomials Tue Jan 20 14:14:19 2009 attempting to build 120145 cycles Tue Jan 20 14:14:19 2009 found 120145 cycles in 6 passes Tue Jan 20 14:14:19 2009 distribution of cycle lengths: Tue Jan 20 14:14:19 2009 length 1 : 28740 Tue Jan 20 14:14:19 2009 length 2 : 20336 Tue Jan 20 14:14:19 2009 length 3 : 20009 Tue Jan 20 14:14:19 2009 length 4 : 16310 Tue Jan 20 14:14:19 2009 length 5 : 12547 Tue Jan 20 14:14:19 2009 length 6 : 8606 Tue Jan 20 14:14:19 2009 length 7 : 5637 Tue Jan 20 14:14:19 2009 length 9+: 7960 Tue Jan 20 14:14:19 2009 largest cycle: 20 relations Tue Jan 20 14:14:20 2009 matrix is 120000 x 120145 (35.6 MB) with weight 8849223 (73.65/col) Tue Jan 20 14:14:20 2009 sparse part has weight 8849223 (73.65/col) Tue Jan 20 14:14:22 2009 filtering completed in 3 passes Tue Jan 20 14:14:22 2009 matrix is 115104 x 115168 (34.3 MB) with weight 8541239 (74.16/col) Tue Jan 20 14:14:22 2009 sparse part has weight 8541239 (74.16/col) Tue Jan 20 14:14:22 2009 saving the first 48 matrix rows for later Tue Jan 20 14:14:23 2009 matrix is 115056 x 115168 (24.4 MB) with weight 7127639 (61.89/col) Tue Jan 20 14:14:23 2009 sparse part has weight 5695827 (49.46/col) Tue Jan 20 14:14:23 2009 matrix includes 64 packed rows Tue Jan 20 14:14:23 2009 using block size 43690 for processor cache size 1024 kB Tue Jan 20 14:14:24 2009 commencing Lanczos iteration Tue Jan 20 14:14:24 2009 memory use: 21.6 MB Tue Jan 20 14:16:15 2009 lanczos halted after 1820 iterations (dim = 115054) Tue Jan 20 14:16:16 2009 recovered 17 nontrivial dependencies Tue Jan 20 14:16:17 2009 prp44 factor: 10400541347880596513151322002253490415160669 Tue Jan 20 14:16:17 2009 prp60 factor: 153431943934224431017641592298558521171642330516337258884163 Tue Jan 20 14:16:17 2009 elapsed time 18:14:34 |
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 | January 15, 2009 00:00:00 UTC 2009 年 1 月 15 日 (木) 9 時 0 分 0 秒 (日本時間) |
name 名前 | Serge Batalov |
---|---|
date 日付 | January 19, 2009 07:43:44 UTC 2009 年 1 月 19 日 (月) 16 時 43 分 44 秒 (日本時間) |
composite number 合成数 | 169963756265340783549498213100557605484274414360859585479125756183260725645748273727873102572297814639185600007296005147<120> |
prime factors 素因数 | 27552660149342947824495408694073<32> 6168687718140127868368841956002554606415386279442679587977932353995948714156451167473139<88> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=4175459408 Step 1 took 9950ms Step 2 took 12236ms ********** Factor found in step 2: 27552660149342947824495408694073 Found probable prime factor of 32 digits: 27552660149342947824495408694073 Probable prime cofactor has 88 digits |
software ソフトウェア | GMP-ECM 6.2.1 |
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 | January 15, 2009 00:00:00 UTC 2009 年 1 月 15 日 (木) 9 時 0 分 0 秒 (日本時間) |
name 名前 | Markus Tervooren |
---|---|
date 日付 | January 19, 2009 12:10:28 UTC 2009 年 1 月 19 日 (月) 21 時 10 分 28 秒 (日本時間) |
composite number 合成数 | 778233898767714074587834989358125967216612294690983249179675036097715048329274179205248561263806296443717839721399856767<120> |
prime factors 素因数 | 20243241615867601351382161917901417424745360191571433538399<59> 38444134271346041617717354848500875864662068641723260690270433<62> |
factorization results 素因数分解の結果 | Number: 125 N=778233898767714074587834989358125967216612294690983249179675036097715048329274179205248561263806296443717839721399856767 ( 120 digits) SNFS difficulty: 126 digits. Divisors found: r1=20243241615867601351382161917901417424745360191571433538399 r2=38444134271346041617717354848500875864662068641723260690270433 Version: Total time: 1.52 hours. Scaled time: 3.09 units (timescale=2.031). Factorization parameters were as follows: n: 778233898767714074587834989358125967216612294690983249179675036097715048329274179205248561263806296443717839721399856767 m: 10000000000000000000000000 deg: 5 c5: 41 c0: 13 skew: 0.79 type: snfs lss: 1 rlim: 900000 alim: 900000 lpbr: 26 lpba: 26 mfbr: 46 mfba: 46 rlambda: 2.3 alambda: 2.3 Factor base limits: 900000/900000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 46/46 Sieved rational special-q in [450000, 700001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 109798 x 110038 Total sieving time: 1.52 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,126,5,0,0,0,0,0,0,0,0,900000,900000,26,26,46,46,2.3,2.3,50000 total time: 1.52 hours. |
software ソフトウェア | gnfs-lasieve4I12e / msieve |
execution environment 実行環境 | Q6700 |
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 | January 15, 2009 00:00:00 UTC 2009 年 1 月 15 日 (木) 9 時 0 分 0 秒 (日本時間) |
name 名前 | Serge Batalov |
---|---|
date 日付 | January 19, 2009 07:36:41 UTC 2009 年 1 月 19 日 (月) 16 時 36 分 41 秒 (日本時間) |
composite number 合成数 | 53147767255816148132419865805776540082944220381235415961000427645083358384079728910090959162940813738983018769846964244904393<125> |
prime factors 素因数 | 30674541940541323556463883511<29> 1732634422343984716886855445721622722403019886436256791707786647044682028108458886668414627731263<97> |
factorization results 素因数分解の結果 | Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=855165405 Step 1 took 2745ms Step 2 took 2061ms ********** Factor found in step 2: 30674541940541323556463883511 Found probable prime factor of 29 digits: 30674541940541323556463883511 Probable prime cofactor has 97 digits |
software ソフトウェア | GMP-ECM 6.2.1 |
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 | January 15, 2009 00:00:00 UTC 2009 年 1 月 15 日 (木) 9 時 0 分 0 秒 (日本時間) |
name 名前 | Sinkiti Sibata |
---|---|
date 日付 | January 21, 2009 04:20:33 UTC 2009 年 1 月 21 日 (水) 13 時 20 分 33 秒 (日本時間) |
composite number 合成数 | 411682641408677746814453464337059397301767786709657824132464450814076300835690663029222620192692048097<102> |
prime factors 素因数 | 79005309736995305131116060227523937<35> 5210822446986772338468650809121467546078389156874394153991712631681<67> |
factorization results 素因数分解の結果 | Tue Jan 20 22:13:49 2009 Msieve v. 1.39 Tue Jan 20 22:13:49 2009 random seeds: f46ffff0 52d14748 Tue Jan 20 22:13:49 2009 factoring 411682641408677746814453464337059397301767786709657824132464450814076300835690663029222620192692048097 (102 digits) Tue Jan 20 22:13:50 2009 searching for 15-digit factors Tue Jan 20 22:13:52 2009 commencing quadratic sieve (102-digit input) Tue Jan 20 22:13:52 2009 using multiplier of 2 Tue Jan 20 22:13:52 2009 using 32kb Intel Core sieve core Tue Jan 20 22:13:52 2009 sieve interval: 36 blocks of size 32768 Tue Jan 20 22:13:52 2009 processing polynomials in batches of 6 Tue Jan 20 22:13:52 2009 using a sieve bound of 3198409 (114826 primes) Tue Jan 20 22:13:52 2009 using large prime bound of 479761350 (28 bits) Tue Jan 20 22:13:52 2009 using double large prime bound of 4225182407156700 (44-52 bits) Tue Jan 20 22:13:52 2009 using trial factoring cutoff of 52 bits Tue Jan 20 22:13:52 2009 polynomial 'A' values have 13 factors Wed Jan 21 13:03:10 2009 115071 relations (27861 full + 87210 combined from 1710804 partial), need 114922 Wed Jan 21 13:03:12 2009 begin with 1738665 relations Wed Jan 21 13:03:14 2009 reduce to 301395 relations in 10 passes Wed Jan 21 13:03:14 2009 attempting to read 301395 relations Wed Jan 21 13:03:19 2009 recovered 301395 relations Wed Jan 21 13:03:19 2009 recovered 291722 polynomials Wed Jan 21 13:03:20 2009 attempting to build 115071 cycles Wed Jan 21 13:03:20 2009 found 115071 cycles in 6 passes Wed Jan 21 13:03:20 2009 distribution of cycle lengths: Wed Jan 21 13:03:20 2009 length 1 : 27861 Wed Jan 21 13:03:20 2009 length 2 : 19785 Wed Jan 21 13:03:20 2009 length 3 : 19653 Wed Jan 21 13:03:20 2009 length 4 : 15587 Wed Jan 21 13:03:20 2009 length 5 : 11674 Wed Jan 21 13:03:20 2009 length 6 : 8109 Wed Jan 21 13:03:20 2009 length 7 : 5129 Wed Jan 21 13:03:20 2009 length 9+: 7273 Wed Jan 21 13:03:20 2009 largest cycle: 21 relations Wed Jan 21 13:03:20 2009 matrix is 114826 x 115071 (33.4 MB) with weight 8294028 (72.08/col) Wed Jan 21 13:03:20 2009 sparse part has weight 8294028 (72.08/col) Wed Jan 21 13:03:23 2009 filtering completed in 3 passes Wed Jan 21 13:03:23 2009 matrix is 109772 x 109836 (32.1 MB) with weight 7970453 (72.57/col) Wed Jan 21 13:03:23 2009 sparse part has weight 7970453 (72.57/col) Wed Jan 21 13:03:23 2009 saving the first 48 matrix rows for later Wed Jan 21 13:03:23 2009 matrix is 109724 x 109836 (21.8 MB) with weight 6540242 (59.55/col) Wed Jan 21 13:03:23 2009 sparse part has weight 5054683 (46.02/col) Wed Jan 21 13:03:23 2009 matrix includes 64 packed rows Wed Jan 21 13:03:23 2009 using block size 43690 for processor cache size 1024 kB Wed Jan 21 13:03:24 2009 commencing Lanczos iteration Wed Jan 21 13:03:24 2009 memory use: 19.8 MB Wed Jan 21 13:04:57 2009 lanczos halted after 1737 iterations (dim = 109721) Wed Jan 21 13:04:57 2009 recovered 16 nontrivial dependencies Wed Jan 21 13:04:59 2009 prp35 factor: 79005309736995305131116060227523937 Wed Jan 21 13:04:59 2009 prp67 factor: 5210822446986772338468650809121467546078389156874394153991712631681 Wed Jan 21 13:04:59 2009 elapsed time 14:51:10 |
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 | January 15, 2009 00:00:00 UTC 2009 年 1 月 15 日 (木) 9 時 0 分 0 秒 (日本時間) |
name 名前 | Serge Batalov |
---|---|
date 日付 | January 19, 2009 07:35:14 UTC 2009 年 1 月 19 日 (月) 16 時 35 分 14 秒 (日本時間) |
composite number 合成数 | 8810127531633887692387843254500956372500796145552107246090304210174480645780998443178585263691877638678324796825811054324803<124> |
prime factors 素因数 | 1137775100406018011521513383173<31> 7743294372051181915320432604097700365171873233887895228198421676496704674483207801736789446311<94> |
factorization results 素因数分解の結果 | Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=207593391 Step 1 took 2720ms Step 2 took 2063ms ********** Factor found in step 2: 1137775100406018011521513383173 Found probable prime factor of 31 digits: 1137775100406018011521513383173 Probable prime cofactor has 94 digits |
software ソフトウェア | GMP-ECM 6.2.1 |
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 | January 15, 2009 00:00:00 UTC 2009 年 1 月 15 日 (木) 9 時 0 分 0 秒 (日本時間) |
name 名前 | Serge Batalov |
---|---|
date 日付 | January 19, 2009 07:02:37 UTC 2009 年 1 月 19 日 (月) 16 時 2 分 37 秒 (日本時間) |
composite number 合成数 | 52932524558415951313350193035267023499046130923021769485120560157849505052324683969758414606767300690497<104> |
prime factors 素因数 | 21801657963205126583049668893<29> 2427912805886171394548275652570474227869473125503474032897907815700875098229<76> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=3728230061 Step 1 took 7005ms ********** Factor found in step 1: 21801657963205126583049668893 Found probable prime factor of 29 digits: 21801657963205126583049668893 Probable prime cofactor has 76 digits |
software ソフトウェア | GMP-ECM 6.2.1 |
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 | January 15, 2009 00:00:00 UTC 2009 年 1 月 15 日 (木) 9 時 0 分 0 秒 (日本時間) |
name 名前 | Sinkiti Sibata |
---|---|
date 日付 | January 24, 2009 06:34:11 UTC 2009 年 1 月 24 日 (土) 15 時 34 分 11 秒 (日本時間) |
composite number 合成数 | 1914678584469877649316146631311483016914465974441251203654318046447997277245008118142822154997288621883177708639<112> |
prime factors 素因数 | 152943647887036111477247610987697036703626392511<48> 12518849987703023951410464231756309915231977459305480342194679649<65> |
factorization results 素因数分解の結果 | Number: 45557_141 N=1914678584469877649316146631311483016914465974441251203654318046447997277245008118142822154997288621883177708639 ( 112 digits) SNFS difficulty: 143 digits. Divisors found: r1=152943647887036111477247610987697036703626392511 (pp48) r2=12518849987703023951410464231756309915231977459305480342194679649 (pp65) Version: GGNFS-0.77.1-20050930-pentium4 Total time: 16.53 hours. Scaled time: 7.82 units (timescale=0.473). Factorization parameters were as follows: name: 45557_141 n: 1914678584469877649316146631311483016914465974441251203654318046447997277245008118142822154997288621883177708639 m: 20000000000000000000000000000 deg: 5 c5: 205 c0: 208 skew: 1.00 type: snfs lss: 1 rlim: 1750000 alim: 1750000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.3 alambda: 2.3 Factor base limits: 1750000/1750000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved rational special-q in [875000, 2175001) Primes: RFBsize:131608, AFBsize:131343, largePrimes:3922682 encountered Relations: rels:4027274, finalFF:349003 Max relations in full relation-set: 28 Initial matrix: 263018 x 349003 with sparse part having weight 34653347. Pruned matrix : 235041 x 236420 with weight 20618698. Total sieving time: 14.73 hours. Total relation processing time: 0.21 hours. Matrix solve time: 1.50 hours. Time per square root: 0.08 hours. Prototype def-par.txt line would be: snfs,143,5,0,0,0,0,0,0,0,0,1750000,1750000,26,26,48,48,2.3,2.3,100000 total time: 16.53 hours. --------- CPU info (if available) ---------- |
execution environment 実行環境 | Pentium 4 2.4GHz, Windows XP and Cygwin) |
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 | January 15, 2009 00:00:00 UTC 2009 年 1 月 15 日 (木) 9 時 0 分 0 秒 (日本時間) |
name 名前 | Markus Tervooren |
---|---|
date 日付 | January 20, 2009 02:02:38 UTC 2009 年 1 月 20 日 (火) 11 時 2 分 38 秒 (日本時間) |
composite number 合成数 | 202069021637911006139792365982193405950417196982994491279558455816628051731372278017796256873175681136201678990699486273678958979<129> |
prime factors 素因数 | 10653204168755044912086128475047056724667021761<47> 18967910352320338815022238253260155162161188295244766291718453109239753146705462339<83> |
factorization results 素因数分解の結果 | Msieve v. 1.38 Tue Jan 20 02:57:00 2009 random seeds: 4f200b6f 822e0064 factoring 202069021637911006139792365982193405950417196982994491279558455816628051731372278017796256873175681136201678990699486273678958979 (129 digits) searching for 15-digit factors commencing number field sieve (129-digit input) R0: -100000000000000000000000000000 R1: 1 A0: 13 A1: 0 A2: 0 A3: 0 A4: 0 A5: 41 size score = 3.775105e-10, Murphy alpha = 0.741107, combined = 2.948783e-10 commencing relation filtering commencing duplicate removal, pass 1 found 843687 hash collisions in 4404710 relations commencing duplicate removal, pass 2 found 995671 duplicates and 3409039 unique relations memory use: 50.6 MB reading rational ideals above 3080192 reading algebraic ideals above 3080192 commencing singleton removal, pass 1 relations with 0 large ideals: 144617 relations with 1 large ideals: 792976 relations with 2 large ideals: 1430566 relations with 3 large ideals: 787622 relations with 4 large ideals: 99293 relations with 5 large ideals: 2793 relations with 6 large ideals: 151172 relations with 7+ large ideals: 0 3409039 relations and about 3584453 large ideals commencing singleton removal, pass 2 found 1701329 singletons current dataset: 1707710 relations and about 1248457 large ideals commencing singleton removal, pass 3 found 371483 singletons current dataset: 1336227 relations and about 845846 large ideals commencing singleton removal, final pass memory use: 22.6 MB commencing in-memory singleton removal begin with 1336227 relations and 865908 unique ideals reduce to 1165662 relations and 690763 ideals in 12 passes max relations containing the same ideal: 28 reading rational ideals above 720000 reading algebraic ideals above 720000 commencing singleton removal, final pass keeping 999380 ideals with weight <= 20, new excess is 134647 memory use: 33.2 MB commencing in-memory singleton removal begin with 1166216 relations and 999380 unique ideals reduce to 1132823 relations and 962999 ideals in 10 passes max relations containing the same ideal: 20 relations with 0 large ideals: 7191 relations with 1 large ideals: 39881 relations with 2 large ideals: 156236 relations with 3 large ideals: 315706 relations with 4 large ideals: 342583 relations with 5 large ideals: 195715 relations with 6 large ideals: 66642 relations with 7+ large ideals: 8869 commencing 2-way merge reduce to 681219 relation sets and 511407 unique ideals ignored 12 oversize relation sets commencing full merge memory use: 51.5 MB found 312399 cycles, need 285607 weight of 285607 cycles is about 20278239 (71.00/cycle) distribution of cycle lengths: 1 relations: 29107 2 relations: 28315 3 relations: 29668 4 relations: 27878 5 relations: 26181 6 relations: 23644 7 relations: 20696 8 relations: 18433 9 relations: 15797 10+ relations: 65888 heaviest cycle: 19 relations commencing cycle optimization start with 1823210 relations pruned 67262 relations memory use: 56.6 MB distribution of cycle lengths: 1 relations: 29107 2 relations: 29151 3 relations: 31160 4 relations: 29052 5 relations: 27443 6 relations: 24372 7 relations: 21373 8 relations: 18600 9 relations: 15958 10+ relations: 59391 heaviest cycle: 19 relations commencing linear algebra read 285607 cycles cycles contain 910667 unique relations read 910667 relations using 32 quadratic characters above 67108748 building initial matrix memory use: 113.4 MB read 285607 cycles matrix is 285292 x 285607 (84.8 MB) with weight 26928793 (94.29/col) sparse part has weight 19096573 (66.86/col) filtering completed in 3 passes matrix is 283618 x 283818 (84.4 MB) with weight 26775760 (94.34/col) sparse part has weight 18996642 (66.93/col) read 283818 cycles matrix is 283618 x 283818 (84.4 MB) with weight 26775760 (94.34/col) sparse part has weight 18996642 (66.93/col) saving the first 48 matrix rows for later matrix is 283570 x 283818 (80.1 MB) with weight 20525132 (72.32/col) sparse part has weight 18169096 (64.02/col) matrix includes 64 packed rows using block size 65536 for processor cache size 4096 kB commencing Lanczos iteration (4 threads) memory use: 80.8 MB linear algebra completed 283258 of 283818 dimensions (99.8%, ETA 0h 0m) lanczos halted after 4486 iterations (dim = 283568) recovered 47 nontrivial dependencies commencing square root phase reading relations for dependency 1 read 141763 cycles cycles contain 560270 unique relations read 560270 relations multiplying 453468 relations multiply complete, coefficients have about 11.50 million bits initial square root is modulo 4054321 prp47 factor: 10653204168755044912086128475047056724667021761 prp83 factor: 18967910352320338815022238253260155162161188295244766291718453109239753146705462339 elapsed time 00:09:19 |
software ソフトウェア | gnfs-lasieve4I12e / msieve |
execution environment 実行環境 | Q6700, Linux |
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 | January 15, 2009 00:00:00 UTC 2009 年 1 月 15 日 (木) 9 時 0 分 0 秒 (日本時間) |
name 名前 | Sinkiti Sibata |
---|---|
date 日付 | January 22, 2009 03:29:48 UTC 2009 年 1 月 22 日 (木) 12 時 29 分 48 秒 (日本時間) |
composite number 合成数 | 9048644976465349194417936214282020920405826876717322267545304616149531433795128952289790672367809801099<103> |
prime factors 素因数 | 29355415641012754416171952787119471143967<41> 308244485008190237669046414380908430812930699613696887061598997<63> |
factorization results 素因数分解の結果 | Wed Jan 21 17:08:16 2009 Wed Jan 21 17:08:16 2009 Wed Jan 21 17:08:16 2009 Msieve v. 1.39 Wed Jan 21 17:08:16 2009 random seeds: f2c9dc98 27ac341f Wed Jan 21 17:08:16 2009 factoring 9048644976465349194417936214282020920405826876717322267545304616149531433795128952289790672367809801099 (103 digits) Wed Jan 21 17:08:17 2009 searching for 15-digit factors Wed Jan 21 17:08:19 2009 commencing quadratic sieve (103-digit input) Wed Jan 21 17:08:19 2009 using multiplier of 1 Wed Jan 21 17:08:19 2009 using 32kb Intel Core sieve core Wed Jan 21 17:08:19 2009 sieve interval: 36 blocks of size 32768 Wed Jan 21 17:08:19 2009 processing polynomials in batches of 6 Wed Jan 21 17:08:19 2009 using a sieve bound of 3560659 (127500 primes) Wed Jan 21 17:08:19 2009 using large prime bound of 534098850 (28 bits) Wed Jan 21 17:08:19 2009 using double large prime bound of 5125295884020600 (44-53 bits) Wed Jan 21 17:08:19 2009 using trial factoring cutoff of 53 bits Wed Jan 21 17:08:19 2009 polynomial 'A' values have 13 factors Thu Jan 22 09:07:44 2009 127765 relations (31985 full + 95780 combined from 1881547 partial), need 127596 Thu Jan 22 09:07:46 2009 begin with 1913532 relations Thu Jan 22 09:07:48 2009 reduce to 330770 relations in 11 passes Thu Jan 22 09:07:48 2009 attempting to read 330770 relations Thu Jan 22 09:07:54 2009 recovered 330770 relations Thu Jan 22 09:07:54 2009 recovered 319137 polynomials Thu Jan 22 09:07:55 2009 attempting to build 127765 cycles Thu Jan 22 09:07:55 2009 found 127765 cycles in 6 passes Thu Jan 22 09:07:55 2009 distribution of cycle lengths: Thu Jan 22 09:07:55 2009 length 1 : 31985 Thu Jan 22 09:07:55 2009 length 2 : 22531 Thu Jan 22 09:07:55 2009 length 3 : 21549 Thu Jan 22 09:07:55 2009 length 4 : 17313 Thu Jan 22 09:07:55 2009 length 5 : 12810 Thu Jan 22 09:07:55 2009 length 6 : 8530 Thu Jan 22 09:07:55 2009 length 7 : 5448 Thu Jan 22 09:07:55 2009 length 9+: 7599 Thu Jan 22 09:07:55 2009 largest cycle: 19 relations Thu Jan 22 09:07:56 2009 matrix is 127500 x 127765 (37.4 MB) with weight 9284987 (72.67/col) Thu Jan 22 09:07:56 2009 sparse part has weight 9284987 (72.67/col) Thu Jan 22 09:07:59 2009 filtering completed in 4 passes Thu Jan 22 09:07:59 2009 matrix is 121328 x 121392 (35.7 MB) with weight 8883191 (73.18/col) Thu Jan 22 09:07:59 2009 sparse part has weight 8883191 (73.18/col) Thu Jan 22 09:07:59 2009 saving the first 48 matrix rows for later Thu Jan 22 09:07:59 2009 matrix is 121280 x 121392 (26.3 MB) with weight 7483600 (61.65/col) Thu Jan 22 09:07:59 2009 sparse part has weight 6170468 (50.83/col) Thu Jan 22 09:07:59 2009 matrix includes 64 packed rows Thu Jan 22 09:07:59 2009 using block size 43690 for processor cache size 1024 kB Thu Jan 22 09:08:01 2009 commencing Lanczos iteration Thu Jan 22 09:08:01 2009 memory use: 22.9 MB Thu Jan 22 09:10:18 2009 lanczos halted after 1920 iterations (dim = 121278) Thu Jan 22 09:10:18 2009 recovered 16 nontrivial dependencies Thu Jan 22 09:10:19 2009 prp41 factor: 29355415641012754416171952787119471143967 Thu Jan 22 09:10:19 2009 prp63 factor: 308244485008190237669046414380908430812930699613696887061598997 Thu Jan 22 09:10:19 2009 elapsed time 16:02:03 |
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 | January 15, 2009 00:00:00 UTC 2009 年 1 月 15 日 (木) 9 時 0 分 0 秒 (日本時間) |
name 名前 | Jo Yeong Uk |
---|---|
date 日付 | January 22, 2009 22:32:09 UTC 2009 年 1 月 23 日 (金) 7 時 32 分 9 秒 (日本時間) |
composite number 合成数 | 124412600455319753291293023822905556467418502777629884221966937651002000356694604848608553625643657312604663420905456072645167191<129> |
prime factors 素因数 | 1800637357783759974901763552956102654092167352953638442460850199<64> 69093646156740776157080773778646968153929769992325516238093404609<65> |
factorization results 素因数分解の結果 | Number: 45557_148 N=124412600455319753291293023822905556467418502777629884221966937651002000356694604848608553625643657312604663420905456072645167191 ( 129 digits) SNFS difficulty: 151 digits. Divisors found: r1=1800637357783759974901763552956102654092167352953638442460850199 r2=69093646156740776157080773778646968153929769992325516238093404609 Version: Total time: 8.40 hours. Scaled time: 20.02 units (timescale=2.383). Factorization parameters were as follows: n: 124412600455319753291293023822905556467418502777629884221966937651002000356694604848608553625643657312604663420905456072645167191 m: 1000000000000000000000000000000 deg: 5 c5: 41 c0: 1300 skew: 2.00 type: snfs lss: 1 rlim: 2000000 alim: 2000000 lpbr: 27 lpba: 27 mfbr: 49 mfba: 49 rlambda: 2.4 alambda: 2.4 Factor base limits: 2000000/2000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 49/49 Sieved rational special-q in [1000000, 1800001) Primes: rational ideals reading, algebraic ideals reading, Relations: 7444421 Max relations in full relation-set: Initial matrix: Pruned matrix : 326553 x 326801 Total sieving time: 7.79 hours. Total relation processing time: 0.31 hours. Matrix solve time: 0.24 hours. Time per square root: 0.07 hours. Prototype def-par.txt line would be: snfs,151,5,0,0,0,0,0,0,0,0,2000000,2000000,27,27,49,49,2.4,2.4,100000 total time: 8.40 hours. --------- CPU info (if available) ---------- Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Memory: 8046968k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init) Calibrating delay using timer specific routine.. 5347.61 BogoMIPS (lpj=2673805) Calibrating delay using timer specific routine.. 5344.84 BogoMIPS (lpj=2672421) Calibrating delay using timer specific routine.. 5344.41 BogoMIPS (lpj=2672207) Calibrating delay using timer specific routine.. 5291.27 BogoMIPS (lpj=2645639) |
software ソフトウェア | GGNFS / Msieve v1.39 |
execution environment 実行環境 | Core 2 Quad Q6700 |
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 | January 15, 2009 00:00:00 UTC 2009 年 1 月 15 日 (木) 9 時 0 分 0 秒 (日本時間) |
name 名前 | Ignacio Santos |
---|---|
date 日付 | January 20, 2009 07:20:28 UTC 2009 年 1 月 20 日 (火) 16 時 20 分 28 秒 (日本時間) |
composite number 合成数 | 540034926414176023335666056013800139388078340991658921250077831465701719953890647536283401844391126584896158401442443917<120> |
prime factors 素因数 | 154871027594058166313738937531850792514615903<45> 3486997760676672775521582454506981045875820749167242223488415063348339937939<76> |
factorization results 素因数分解の結果 | Number: 45557_149 N=540034926414176023335666056013800139388078340991658921250077831465701719953890647536283401844391126584896158401442443917 ( 120 digits) SNFS difficulty: 151 digits. Divisors found: r1=154871027594058166313738937531850792514615903 (pp45) r2=3486997760676672775521582454506981045875820749167242223488415063348339937939 (pp76) Version: Msieve-1.39 Total time: 16.88 hours. Scaled time: 43.46 units (timescale=2.575). Factorization parameters were as follows: n: 540034926414176023335666056013800139388078340991658921250077831465701719953890647536283401844391126584896158401442443917 m: 1000000000000000000000000000000 deg: 5 c5: 41 c0: 130 skew: 1.26 type: snfs lss: 1 rlim: 2400000 alim: 2400000 lpbr: 27 lpba: 27 mfbr: 49 mfba: 49 rlambda: 2.4 alambda: 2.4 Factor base limits: 2400000/2400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 49/49 Sieved rational special-q in [1200000, 2100001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 383145 x 383393 Total sieving time: 16.88 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,151,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,49,49,2.4,2.4,100000 total time: 16.88 hours. --------- CPU info (if available) ---------- |
software ソフトウェア | GGNFS/Msieve |
execution environment 実行環境 | Q6600 2,40 GHz Windows Vista 32 bits |
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 | January 15, 2009 00:00:00 UTC 2009 年 1 月 15 日 (木) 9 時 0 分 0 秒 (日本時間) |
name 名前 | Serge Batalov |
---|---|
date 日付 | January 20, 2009 05:54:37 UTC 2009 年 1 月 20 日 (火) 14 時 54 分 37 秒 (日本時間) |
composite number 合成数 | 168724279835390946502057613168724279835390946502057613168724279835390946502057613168724279835390946502057613168724279835390946502057613168724279835391<150> |
prime factors 素因数 | 8088307089484207164003143469452132928076569867478172561362749573329874913<73> 20860271249437751623432586664881731562191259384907030463575987885758254647007<77> |
factorization results 素因数分解の結果 | SNFS difficulty: 151 digits. Divisors found: r1=8088307089484207164003143469452132928076569867478172561362749573329874913 (pp73) r2=20860271249437751623432586664881731562191259384907030463575987885758254647007 (pp77) Version: Msieve-1.39 Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.950). Factorization parameters were as follows: n: 168724279835390946502057613168724279835390946502057613168724279835390946502057613168724279835390946502057613168724279835390946502057613168724279835391 m: 1000000000000000000000000000000 deg: 5 c5: 41 c0: 13 skew: 0.79 type: snfs lss: 1 rlim: 2400000 alim: 2400000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.5 alambda: 2.5 Factor base limits: 2400000/2400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved rational special-q in [1200000, 1800001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 378707 x 378955 Total sieving time: 0.00 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,151,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,52,52,2.5,2.5,100000 total time: 10.00 hours. |
software ソフトウェア | Msieve-1.39 |
execution environment 実行環境 | Opteron-2.6GHz; Linux x86_64 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | January 15, 2009 00:00:00 UTC 2009 年 1 月 15 日 (木) 9 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 800 / 2336 | Serge Batalov | January 19, 2009 22:54:58 UTC 2009 年 1 月 20 日 (火) 7 時 54 分 58 秒 (日本時間) |
name 名前 | Serge Batalov |
---|---|
date 日付 | January 20, 2009 06:25:42 UTC 2009 年 1 月 20 日 (火) 15 時 25 分 42 秒 (日本時間) |
composite number 合成数 | 948145681427676141185829615908497004090901732794046570140811196444222439601963817835776542875841479292267062575302423784118791091130675287854716331<147> |
prime factors 素因数 | 412965781222919059431588990535944176008086436258231823868137137<63> 2295942483708757462905739091602534375427222462948952894327050495097814781823941499163<85> |
factorization results 素因数分解の結果 | SNFS difficulty: 153 digits. Divisors found: r1=412965781222919059431588990535944176008086436258231823868137137 (pp63) r2=2295942483708757462905739091602534375427222462948952894327050495097814781823941499163 (pp85) Version: Msieve-1.39 Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.950). Factorization parameters were as follows: n: 948145681427676141185829615908497004090901732794046570140811196444222439601963817835776542875841479292267062575302423784118791091130675287854716331 m: 2000000000000000000000000000000 deg: 5 c5: 205 c0: 208 skew: 1.00 type: snfs lss: 1 rlim: 2600000 alim: 2600000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.5 alambda: 2.5 Factor base limits: 2600000/2600000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved rational special-q in [1300000, 2200001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 484451 x 484699 Total sieving time: 0.00 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,153,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,52,52,2.5,2.5,100000 total time: 13.00 hours. |
software ソフトウェア | Msieve-1.39 |
execution environment 実行環境 | Opteron-2.6GHz; Linux x86_64 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | January 15, 2009 00:00:00 UTC 2009 年 1 月 15 日 (木) 9 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 800 / 2336 | Serge Batalov | January 19, 2009 22:55:13 UTC 2009 年 1 月 20 日 (火) 7 時 55 分 13 秒 (日本時間) |
name 名前 | Jo Yeong Uk |
---|---|
date 日付 | January 24, 2009 01:05:21 UTC 2009 年 1 月 24 日 (土) 10 時 5 分 21 秒 (日本時間) |
composite number 合成数 | 222349174146447297456867387484271193909218826076840028739075777284927827966982782165223823799367958189327915307092989558940264535789<132> |
prime factors 素因数 | 14434671320601927444899804781903476800304653989688760687<56> 15403826606643878294130122774708818300656217739989908114754788714590290120547<77> |
factorization results 素因数分解の結果 | Number: 45557_156 N=222349174146447297456867387484271193909218826076840028739075777284927827966982782165223823799367958189327915307092989558940264535789 ( 132 digits) SNFS difficulty: 157 digits. Divisors found: r1=14434671320601927444899804781903476800304653989688760687 r2=15403826606643878294130122774708818300656217739989908114754788714590290120547 Version: Total time: 14.63 hours. Scaled time: 35.00 units (timescale=2.392). Factorization parameters were as follows: n: 222349174146447297456867387484271193909218826076840028739075777284927827966982782165223823799367958189327915307092989558940264535789 m: 10000000000000000000000000000000 deg: 5 c5: 410 c0: 13 skew: 0.5 type: snfs lss: 1 rlim: 3000000 alim: 3000000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4 Factor base limits: 3000000/3000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved rational special-q in [1500000, 2800001) Primes: rational ideals reading, algebraic ideals reading, Relations: 8452545 Max relations in full relation-set: Initial matrix: Pruned matrix : 548700 x 548948 Total sieving time: 13.28 hours. Total relation processing time: 0.54 hours. Matrix solve time: 0.66 hours. Time per square root: 0.15 hours. Prototype def-par.txt line would be: snfs,157,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000 total time: 14.63 hours. --------- CPU info (if available) ---------- Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Memory: 8046968k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init) Calibrating delay using timer specific routine.. 5347.61 BogoMIPS (lpj=2673805) Calibrating delay using timer specific routine.. 5344.84 BogoMIPS (lpj=2672421) Calibrating delay using timer specific routine.. 5344.41 BogoMIPS (lpj=2672207) Calibrating delay using timer specific routine.. 5291.27 BogoMIPS (lpj=2645639) |
software ソフトウェア | GGNFS / Msieve v1.39 |
execution environment 実行環境 | Core 2 Quad Q6700 |
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 | January 15, 2009 00:00:00 UTC 2009 年 1 月 15 日 (木) 9 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 825 | Jo Yeong Uk | January 23, 2009 08:54:06 UTC 2009 年 1 月 23 日 (金) 17 時 54 分 6 秒 (日本時間) |
name 名前 | Sinkiti Sibata |
---|---|
date 日付 | January 19, 2009 10:59:06 UTC 2009 年 1 月 19 日 (月) 19 時 59 分 6 秒 (日本時間) |
composite number 合成数 | 18243588101280516424498091055426832910648896917003601129649960924737111973905782692799778450369<95> |
prime factors 素因数 | 1323084657260748762081931294088186861983105043<46> 13788677845491133788833382578002306992383451342683<50> |
factorization results 素因数分解の結果 | Mon Jan 19 16:58:58 2009 Msieve v. 1.39 Mon Jan 19 16:58:58 2009 random seeds: b244ea38 8f6c6e48 Mon Jan 19 16:58:58 2009 factoring 18243588101280516424498091055426832910648896917003601129649960924737111973905782692799778450369 (95 digits) Mon Jan 19 16:58:59 2009 searching for 15-digit factors Mon Jan 19 16:59:01 2009 commencing quadratic sieve (95-digit input) Mon Jan 19 16:59:01 2009 using multiplier of 1 Mon Jan 19 16:59:01 2009 using 32kb Intel Core sieve core Mon Jan 19 16:59:01 2009 sieve interval: 36 blocks of size 32768 Mon Jan 19 16:59:01 2009 processing polynomials in batches of 6 Mon Jan 19 16:59:01 2009 using a sieve bound of 2128183 (78513 primes) Mon Jan 19 16:59:01 2009 using large prime bound of 310714718 (28 bits) Mon Jan 19 16:59:01 2009 using double large prime bound of 1933086450144842 (43-51 bits) Mon Jan 19 16:59:01 2009 using trial factoring cutoff of 51 bits Mon Jan 19 16:59:01 2009 polynomial 'A' values have 12 factors Mon Jan 19 19:52:38 2009 78710 relations (19906 full + 58804 combined from 1154571 partial), need 78609 Mon Jan 19 19:52:39 2009 begin with 1174477 relations Mon Jan 19 19:52:41 2009 reduce to 201809 relations in 11 passes Mon Jan 19 19:52:41 2009 attempting to read 201809 relations Mon Jan 19 19:52:44 2009 recovered 201809 relations Mon Jan 19 19:52:44 2009 recovered 181459 polynomials Mon Jan 19 19:52:44 2009 attempting to build 78710 cycles Mon Jan 19 19:52:44 2009 found 78710 cycles in 6 passes Mon Jan 19 19:52:44 2009 distribution of cycle lengths: Mon Jan 19 19:52:44 2009 length 1 : 19906 Mon Jan 19 19:52:44 2009 length 2 : 14145 Mon Jan 19 19:52:44 2009 length 3 : 13515 Mon Jan 19 19:52:44 2009 length 4 : 10573 Mon Jan 19 19:52:44 2009 length 5 : 7714 Mon Jan 19 19:52:44 2009 length 6 : 5210 Mon Jan 19 19:52:44 2009 length 7 : 3266 Mon Jan 19 19:52:44 2009 length 9+: 4381 Mon Jan 19 19:52:44 2009 largest cycle: 20 relations Mon Jan 19 19:52:45 2009 matrix is 78513 x 78710 (19.9 MB) with weight 4897447 (62.22/col) Mon Jan 19 19:52:45 2009 sparse part has weight 4897447 (62.22/col) Mon Jan 19 19:52:46 2009 filtering completed in 3 passes Mon Jan 19 19:52:46 2009 matrix is 74338 x 74402 (18.9 MB) with weight 4664277 (62.69/col) Mon Jan 19 19:52:46 2009 sparse part has weight 4664277 (62.69/col) Mon Jan 19 19:52:46 2009 saving the first 48 matrix rows for later Mon Jan 19 19:52:46 2009 matrix is 74290 x 74402 (11.7 MB) with weight 3587319 (48.22/col) Mon Jan 19 19:52:46 2009 sparse part has weight 2609601 (35.07/col) Mon Jan 19 19:52:46 2009 matrix includes 64 packed rows Mon Jan 19 19:52:46 2009 using block size 29760 for processor cache size 1024 kB Mon Jan 19 19:52:47 2009 commencing Lanczos iteration Mon Jan 19 19:52:47 2009 memory use: 11.5 MB Mon Jan 19 19:53:24 2009 lanczos halted after 1176 iterations (dim = 74290) Mon Jan 19 19:53:24 2009 recovered 17 nontrivial dependencies Mon Jan 19 19:53:25 2009 prp46 factor: 1323084657260748762081931294088186861983105043 Mon Jan 19 19:53:25 2009 prp50 factor: 13788677845491133788833382578002306992383451342683 Mon Jan 19 19:53:25 2009 elapsed time 02:54:27 |
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 | January 15, 2009 00:00:00 UTC 2009 年 1 月 15 日 (木) 9 時 0 分 0 秒 (日本時間) |
name 名前 | Jo Yeong Uk |
---|---|
date 日付 | January 25, 2009 04:33:23 UTC 2009 年 1 月 25 日 (日) 13 時 33 分 23 秒 (日本時間) |
composite number 合成数 | 3034354120104753360064970435795476897443162060598250583531604564172670129454802230625243157344730258350741251453786863506340991<127> |
prime factors 素因数 | 424001769125093094621543918688662607163<39> 7156465706183242170212634190189296953128191851050556387767311790646055779703262249922957<88> |
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 3034354120104753360064970435795476897443162060598250583531604564172670129454802230625243157344730258350741251453786863506340991 (127 digits) Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3609433657 Step 1 took 75297ms Step 2 took 31281ms ********** Factor found in step 2: 424001769125093094621543918688662607163 Found probable prime factor of 39 digits: 424001769125093094621543918688662607163 Probable prime cofactor 7156465706183242170212634190189296953128191851050556387767311790646055779703262249922957 has 88 digits |
execution environment 実行環境 | Celeron M 380 |
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 | January 15, 2009 00:00:00 UTC 2009 年 1 月 15 日 (木) 9 時 0 分 0 秒 (日本時間) |
name 名前 | Serge Batalov |
---|---|
date 日付 | January 20, 2009 19:48:56 UTC 2009 年 1 月 21 日 (水) 4 時 48 分 56 秒 (日本時間) |
composite number 合成数 | 455555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557<165> |
prime factors 素因数 | 59246473337858590252923330703876400107515991544467<50> 7689159031588380373504633593943740054484463334271016968033626444748578728860063210957751627326841633237210040015271<115> |
factorization results 素因数分解の結果 | SNFS difficulty: 166 digits. Divisors found: r1=59246473337858590252923330703876400107515991544467 (pp50) r2=7689159031588380373504633593943740054484463334271016968033626444748578728860063210957751627326841633237210040015271 (pp115) Version: Msieve-1.39 Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.277). Factorization parameters were as follows: n: 455555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557 m: 1000000000000000000000000000000000 deg: 5 c5: 41 c0: 130 skew: 1.26 type: snfs lss: 1 rlim: 4200000 alim: 4200000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 4200000/4200000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved rational special-q in [2100000, 4500001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 873659 x 873907 Total sieving time: 0.00 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,166,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,52,52,2.4,2.4,100000 total time: 52.00 hours. |
software ソフトウェア | Msieve-1.39 |
execution environment 実行環境 | Opteron-2.6GHz; Linux x86_64 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | January 15, 2009 00:00:00 UTC 2009 年 1 月 15 日 (木) 9 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 800 / 2336 | Serge Batalov | January 19, 2009 22:55:37 UTC 2009 年 1 月 20 日 (火) 7 時 55 分 37 秒 (日本時間) |
name 名前 | Serge Batalov |
---|---|
date 日付 | January 20, 2009 19:50:25 UTC 2009 年 1 月 21 日 (水) 4 時 50 分 25 秒 (日本時間) |
composite number 合成数 | 6190604098926198362786063189444719117773555202959582748174219137458090838934192930058064624685244717582473540600487139029119396627414360757347265741432959747<157> |
prime factors 素因数 | 66025287958999438614254821967763657340307943048925364047<56> 93761107149891665630911409876334871598782580112338751013349869153898971358258464100313470301176153101<101> |
factorization results 素因数分解の結果 | SNFS difficulty: 166 digits. Divisors found: r1=66025287958999438614254821967763657340307943048925364047 (pp56) r2=93761107149891665630911409876334871598782580112338751013349869153898971358258464100313470301176153101 (pp101) Version: Msieve-1.39 Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.950). Factorization parameters were as follows: n: 6190604098926198362786063189444719117773555202959582748174219137458090838934192930058064624685244717582473540600487139029119396627414360757347265741432959747 m: 1000000000000000000000000000000000 deg: 5 c5: 41 c0: 13 skew: 0.79 type: snfs lss: 1 rlim: 4200000 alim: 4200000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 4200000/4200000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved rational special-q in [2100000, 3900001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 708729 x 708977 Total sieving time: 0.00 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,166,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,52,52,2.4,2.4,200000 total time: 33.00 hours. |
software ソフトウェア | Msieve-1.39 |
execution environment 実行環境 | Opteron-2.6GHz; Linux x86_64 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | January 15, 2009 00:00:00 UTC 2009 年 1 月 15 日 (木) 9 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 800 / 2336 | Serge Batalov | January 19, 2009 22:55:48 UTC 2009 年 1 月 20 日 (火) 7 時 55 分 48 秒 (日本時間) |
name 名前 | Jo Yeong Uk |
---|---|
date 日付 | June 21, 2009 14:23:50 UTC 2009 年 6 月 21 日 (日) 23 時 23 分 50 秒 (日本時間) |
composite number 合成数 | 22173303059861962649674962465807468961083598829975529901522059915208172285205905279352766464136854475819255274008388042078205577801<131> |
prime factors 素因数 | 38994801836476403223875236485088157<35> 568622021797804765367548597934605439349622589855711387016954054617774589676260150974346419105693<96> |
factorization results 素因数分解の結果 | GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM] Input number is 22173303059861962649674962465807468961083598829975529901522059915208172285205905279352766464136854475819255274008388042078205577801 (131 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3093000109 Step 1 took 4196ms ********** Factor found in step 1: 38994801836476403223875236485088157 Found probable prime factor of 35 digits: 38994801836476403223875236485088157 Probable prime cofactor 568622021797804765367548597934605439349622589855711387016954054617774589676260150974346419105693 has 96 digits |
execution environment 実行環境 | Core 2 Quad Q6600 |
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 | January 15, 2009 00:00:00 UTC 2009 年 1 月 15 日 (木) 9 時 0 分 0 秒 (日本時間) |
name 名前 | Jo Yeong Uk |
---|---|
date 日付 | January 22, 2009 12:53:48 UTC 2009 年 1 月 22 日 (木) 21 時 53 分 48 秒 (日本時間) |
composite number 合成数 | 45555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557<170> |
prime factors 素因数 | 8672165459367014932964431677102992882630879566220195983511869288408607879899<76> 5253077304509902079900327279449122912774951534438747747863906866303207485311500450868544270143<94> |
factorization results 素因数分解の結果 | Number: 45557_169 N=45555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557 ( 170 digits) SNFS difficulty: 171 digits. Divisors found: r1=8672165459367014932964431677102992882630879566220195983511869288408607879899 r2=5253077304509902079900327279449122912774951534438747747863906866303207485311500450868544270143 Version: Total time: 46.93 hours. Scaled time: 112.17 units (timescale=2.390). Factorization parameters were as follows: n: 45555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557 m: 10000000000000000000000000000000000 deg: 5 c5: 41 c0: 130 skew: 1.26 type: snfs lss: 1 rlim: 6200000 alim: 6200000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 6200000/6200000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved rational special-q in [3100000, 6600001) Primes: rational ideals reading, algebraic ideals reading, Relations: 11408430 Max relations in full relation-set: Initial matrix: Pruned matrix : 1056408 x 1056656 Total sieving time: 42.17 hours. Total relation processing time: 1.99 hours. Matrix solve time: 2.65 hours. Time per square root: 0.13 hours. Prototype def-par.txt line would be: snfs,171,5,0,0,0,0,0,0,0,0,6200000,6200000,27,27,52,52,2.4,2.4,100000 total time: 46.93 hours. --------- CPU info (if available) ---------- Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Memory: 8046968k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init) Calibrating delay using timer specific routine.. 5347.61 BogoMIPS (lpj=2673805) Calibrating delay using timer specific routine.. 5344.84 BogoMIPS (lpj=2672421) Calibrating delay using timer specific routine.. 5344.41 BogoMIPS (lpj=2672207) Calibrating delay using timer specific routine.. 5291.27 BogoMIPS (lpj=2645639) |
software ソフトウェア | GGNFS / Msieve v1.39 |
execution environment 実行環境 | Core 2 Quad Q6700 |
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 | January 15, 2009 00:00:00 UTC 2009 年 1 月 15 日 (木) 9 時 0 分 0 秒 (日本時間) |
name 名前 | Serge Batalov |
---|---|
date 日付 | January 31, 2009 07:41:38 UTC 2009 年 1 月 31 日 (土) 16 時 41 分 38 秒 (日本時間) |
composite number 合成数 | 894518092836540440883213933824080875780792388807894997431695313391332454085486399914701232771571225453111058182290877031803884777922102962656532628162749<153> |
prime factors 素因数 | 13545655697291753895167415183155062115257968864458197026561047<62> 66037267802058900270285640006155171253032916972658859255631851488321722456468401221793505867<92> |
factorization results 素因数分解の結果 | SNFS difficulty: 172 digits. Divisors found: r1=13545655697291753895167415183155062115257968864458197026561047 (pp62) r2=66037267802058900270285640006155171253032916972658859255631851488321722456468401221793505867 (pp92) Version: Msieve-1.39 Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.302). Factorization parameters were as follows: n: 894518092836540440883213933824080875780792388807894997431695313391332454085486399914701232771571225453111058182290877031803884777922102962656532628162749 m: 10000000000000000000000000000000000 deg: 5 c5: 410 c0: 13 skew: 0.50 type: snfs lss: 1 rlim: 5600000 alim: 5600000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 5600000/5600000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved rational special-q in [2800000, 6600001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 982605 x 982853 Total sieving time: 0.00 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,172,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000 total time: 50.00 hours. |
software ソフトウェア | Msieve-1.39 |
execution environment 実行環境 | Opteron-2.6GHz; Linux x86_64 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | January 15, 2009 00:00:00 UTC 2009 年 1 月 15 日 (木) 9 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 230 | Serge Batalov | January 30, 2009 04:56:31 UTC 2009 年 1 月 30 日 (金) 13 時 56 分 31 秒 (日本時間) | |
40 | 3e6 | 920 / 2273 | Serge Batalov | January 30, 2009 04:56:31 UTC 2009 年 1 月 30 日 (金) 13 時 56 分 31 秒 (日本時間) |
name 名前 | Erik Branger |
---|---|
date 日付 | January 27, 2009 09:16:16 UTC 2009 年 1 月 27 日 (火) 18 時 16 分 16 秒 (日本時間) |
composite number 合成数 | 45555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557<173> |
prime factors 素因数 | 846809775727438855533422032738541504094448048857030030647203344013<66> 53796681216181945160186440747727142358218300032577430895455479542146640352712930288135316333731693886056889<107> |
factorization results 素因数分解の結果 | Number: 45557_172 N=45555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557 ( 173 digits) SNFS difficulty: 174 digits. Divisors found: r1=846809775727438855533422032738541504094448048857030030647203344013 r2=53796681216181945160186440747727142358218300032577430895455479542146640352712930288135316333731693886056889 Version: Total time: 153.02 hours. Scaled time: 301.75 units (timescale=1.972). Factorization parameters were as follows: n: 45555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557 m: 20000000000000000000000000000000000 deg: 5 c5: 1025 c0: 104 skew: 0.63 type: snfs lss: 1 rlim: 5700000 alim: 5700000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4Factor base limits: 5700000/5700000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved rational special-q in [2850000, 7850001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 1140833 x 1141081 Total sieving time: 153.02 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,174,5,0,0,0,0,0,0,0,0,5700000,5700000,27,27,52,52,2.4,2.4,100000 total time: 153.02 hours. --------- CPU info (if available) ---------- |
software ソフトウェア | GGNFS, Msieve |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | January 15, 2009 00:00:00 UTC 2009 年 1 月 15 日 (木) 9 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 825 | Jo Yeong Uk | January 21, 2009 13:46:35 UTC 2009 年 1 月 21 日 (水) 22 時 46 分 35 秒 (日本時間) | |
40 | 3e6 | 500 / 2111 | Erik Branger | January 23, 2009 16:44:07 UTC 2009 年 1 月 24 日 (土) 1 時 44 分 7 秒 (日本時間) |
name 名前 | Sinkiti Sibata |
---|---|
date 日付 | January 20, 2009 13:10:07 UTC 2009 年 1 月 20 日 (火) 22 時 10 分 7 秒 (日本時間) |
composite number 合成数 | 925588880807252467568771876878853373863714814721869609944208374600859523491636368735392507978369<96> |
prime factors 素因数 | 19615475179920945071617458596234333359193<41> 47186666258012252043256895418049868713349346463656125033<56> |
factorization results 素因数分解の結果 | Tue Jan 20 16:17:26 2009 Msieve v. 1.39 Tue Jan 20 16:17:26 2009 random seeds: ca946258 b74f2676 Tue Jan 20 16:17:26 2009 factoring 925588880807252467568771876878853373863714814721869609944208374600859523491636368735392507978369 (96 digits) Tue Jan 20 16:17:27 2009 searching for 15-digit factors Tue Jan 20 16:17:28 2009 commencing quadratic sieve (96-digit input) Tue Jan 20 16:17:29 2009 using multiplier of 1 Tue Jan 20 16:17:29 2009 using 32kb Intel Core sieve core Tue Jan 20 16:17:29 2009 sieve interval: 36 blocks of size 32768 Tue Jan 20 16:17:29 2009 processing polynomials in batches of 6 Tue Jan 20 16:17:29 2009 using a sieve bound of 2299939 (84689 primes) Tue Jan 20 16:17:29 2009 using large prime bound of 344990850 (28 bits) Tue Jan 20 16:17:29 2009 using double large prime bound of 2333746148351850 (43-52 bits) Tue Jan 20 16:17:29 2009 using trial factoring cutoff of 52 bits Tue Jan 20 16:17:29 2009 polynomial 'A' values have 12 factors Tue Jan 20 21:50:47 2009 84787 relations (20045 full + 64742 combined from 1295802 partial), need 84785 Tue Jan 20 21:50:48 2009 begin with 1315847 relations Tue Jan 20 21:50:49 2009 reduce to 225957 relations in 11 passes Tue Jan 20 21:50:49 2009 attempting to read 225957 relations Tue Jan 20 21:50:53 2009 recovered 225957 relations Tue Jan 20 21:50:53 2009 recovered 213085 polynomials Tue Jan 20 21:50:53 2009 attempting to build 84787 cycles Tue Jan 20 21:50:54 2009 found 84787 cycles in 6 passes Tue Jan 20 21:50:54 2009 distribution of cycle lengths: Tue Jan 20 21:50:54 2009 length 1 : 20045 Tue Jan 20 21:50:54 2009 length 2 : 14023 Tue Jan 20 21:50:54 2009 length 3 : 14055 Tue Jan 20 21:50:54 2009 length 4 : 11596 Tue Jan 20 21:50:54 2009 length 5 : 8962 Tue Jan 20 21:50:54 2009 length 6 : 6115 Tue Jan 20 21:50:54 2009 length 7 : 4087 Tue Jan 20 21:50:54 2009 length 9+: 5904 Tue Jan 20 21:50:54 2009 largest cycle: 18 relations Tue Jan 20 21:50:54 2009 matrix is 84689 x 84787 (23.6 MB) with weight 5858158 (69.09/col) Tue Jan 20 21:50:54 2009 sparse part has weight 5858158 (69.09/col) Tue Jan 20 21:50:55 2009 filtering completed in 3 passes Tue Jan 20 21:50:55 2009 matrix is 81312 x 81376 (22.9 MB) with weight 5667944 (69.65/col) Tue Jan 20 21:50:55 2009 sparse part has weight 5667944 (69.65/col) Tue Jan 20 21:50:55 2009 saving the first 48 matrix rows for later Tue Jan 20 21:50:56 2009 matrix is 81264 x 81376 (16.5 MB) with weight 4721586 (58.02/col) Tue Jan 20 21:50:56 2009 sparse part has weight 3829854 (47.06/col) Tue Jan 20 21:50:56 2009 matrix includes 64 packed rows Tue Jan 20 21:50:56 2009 using block size 32550 for processor cache size 1024 kB Tue Jan 20 21:50:57 2009 commencing Lanczos iteration Tue Jan 20 21:50:57 2009 memory use: 14.7 MB Tue Jan 20 21:51:46 2009 lanczos halted after 1286 iterations (dim = 81263) Tue Jan 20 21:51:46 2009 recovered 16 nontrivial dependencies Tue Jan 20 21:51:47 2009 prp41 factor: 19615475179920945071617458596234333359193 Tue Jan 20 21:51:47 2009 prp56 factor: 47186666258012252043256895418049868713349346463656125033 Tue Jan 20 21:51:47 2009 elapsed time 05:34:21 |
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 | January 15, 2009 00:00:00 UTC 2009 年 1 月 15 日 (木) 9 時 0 分 0 秒 (日本時間) |
name 名前 | Erik Branger |
---|---|
date 日付 | July 4, 2013 06:44:43 UTC 2013 年 7 月 4 日 (木) 15 時 44 分 43 秒 (日本時間) |
composite number 合成数 | 41417658749333584540951637144671882902080639045729207126061000044811319478585385618889877747201589891348761483232591823979303998017688635294989<143> |
prime factors 素因数 | 1047221797276370977347284433863454255668778992519657<52> 39550035013645827226905037408236024915027162655204502589949159139681448499683714899528550277<92> |
factorization results 素因数分解の結果 | Number: 45557_177 N = 41417658749333584540951637144671882902080639045729207126061000044811319478585385618889877747201589891348761483232591823979303998017688635294989 (143 digits) SNFS difficulty: 179 digits. Divisors found: r1=1047221797276370977347284433863454255668778992519657 (pp52) r2=39550035013645827226905037408236024915027162655204502589949159139681448499683714899528550277 (pp92) Version: Msieve v. 1.51 (SVN 845) Total time: 83.29 hours. Factorization parameters were as follows: n: 41417658749333584540951637144671882902080639045729207126061000044811319478585385618889877747201589891348761483232591823979303998017688635294989 m: 100000000000000000000000000000000000 deg: 5 c5: 4100 c0: 13 skew: 0.32 # Murphy_E = 9.307e-11 type: snfs lss: 1 rlim: 6600000 alim: 6600000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 6600000/6600000 Large primes per side: 3 Large prime bits: 28/28 Sieved rational special-q in [0, 0) Total raw relations: 18953025 Relations: 2520594 relations Pruned matrix : 1479814 x 1480040 Polynomial selection time: 0.00 hours. Total sieving time: 81.20 hours. Total relation processing time: 0.14 hours. Matrix solve time: 1.76 hours. time per square root: 0.19 hours. Prototype def-par.txt line would be: snfs,179,5,0,0,0,0,0,0,0,0,6600000,6600000,28,28,53,53,2.5,2.5,100000 total time: 83.29 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 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | January 15, 2009 00:00:00 UTC 2009 年 1 月 15 日 (木) 9 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 2336 | 300 | Dmitry Domanov | May 25, 2011 07:32:47 UTC 2011 年 5 月 25 日 (水) 16 時 32 分 47 秒 (日本時間) |
2036 | Wataru Sakai | January 16, 2012 01:16:32 UTC 2012 年 1 月 16 日 (月) 10 時 16 分 32 秒 (日本時間) |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | August 22, 2013 05:17:41 UTC 2013 年 8 月 22 日 (木) 14 時 17 分 41 秒 (日本時間) |
composite number 合成数 | 17118406108005089454198390406479729078812897766113981552076670072658864106754375568988935607230857895401478033217665914844946153402771765382658742144738933647<158> |
prime factors 素因数 | 118174613794494108283916840706784534899004063195167013130360338224973<69> 144856882187692461592400317062488242751854092170335791134309548376003016408329960598308939<90> |
factorization results 素因数分解の結果 | N=17118406108005089454198390406479729078812897766113981552076670072658864106754375568988935607230857895401478033217665914844946153402771765382658742144738933647 ( 158 digits) SNFS difficulty: 179 digits. Divisors found: r1=118174613794494108283916840706784534899004063195167013130360338224973 (pp69) r2=144856882187692461592400317062488242751854092170335791134309548376003016408329960598308939 (pp90) Version: Msieve v. 1.50 (SVN unknown) Total time: 112.38 hours. Scaled time: 216.11 units (timescale=1.923). Factorization parameters were as follows: n: 17118406108005089454198390406479729078812897766113981552076670072658864106754375568988935607230857895401478033217665914844946153402771765382658742144738933647 m: 100000000000000000000000000000000000 deg: 5 c5: 41000 c0: 13 skew: 0.20 # Murphy_E = 8.543e-11 type: snfs lss: 1 rlim: 6900000 alim: 6900000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 qintsize: 400000 Factor base limits: 6900000/6900000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved rational special-q in [3450000, 9450001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 1328533 x 1328764 Total sieving time: 110.06 hours. Total relation processing time: 0.24 hours. Matrix solve time: 1.99 hours. Time per square root: 0.09 hours. Prototype def-par.txt line would be: snfs,179.000,5,0,0,0,0,0,0,0,0,6900000,6900000,28,28,53,53,2.5,2.5,100000 total time: 112.38 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 | January 15, 2009 00:00:00 UTC 2009 年 1 月 15 日 (木) 9 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 2336 | 300 | Dmitry Domanov | May 25, 2011 07:32:55 UTC 2011 年 5 月 25 日 (水) 16 時 32 分 55 秒 (日本時間) |
2036 | Wataru Sakai | March 21, 2012 12:44:53 UTC 2012 年 3 月 21 日 (水) 21 時 44 分 53 秒 (日本時間) |
name 名前 | matsui |
---|---|
date 日付 | July 17, 2010 14:08:57 UTC 2010 年 7 月 17 日 (土) 23 時 8 分 57 秒 (日本時間) |
composite number 合成数 | 10121021222594135192567894173989898198843561747230995357929434171398077461660516307210328331334567411667880090712294047184857571842446082376211190323900845184512277157915833<173> |
prime factors 素因数 | 14547059647205508442944274483238922259503396365152972924228610304751<68> 695743433246895659952374489269215403773949247928953530669818726281211108720388431162288664251006506746583<105> |
factorization results 素因数分解の結果 | N=10121021222594135192567894173989898198843561747230995357929434171398077461660516307210328331334567411667880090712294047184857571842446082376211190323900845184512277157915833 ( 173 digits) SNFS difficulty: 180 digits. Divisors found: r1=14547059647205508442944274483238922259503396365152972924228610304751 (pp68) r2=695743433246895659952374489269215403773949247928953530669818726281211108720388431162288664251006506746583 (pp105) Version: Msieve v. 1.46 Total time: Scaled time: 7.70 units (timescale=1.605). Factorization parameters were as follows: n: 10121021222594135192567894173989898198843561747230995357929434171398077461660516307210328331334567411667880090712294047184857571842446082376211190323900845184512277157915833 m: 100000000000000000000000000000000000 deg: 5 c5: 410000 c0: 13 skew: 0.13 type: snfs lss: 1 rlim: 7200000 alim: 7200000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 qintsize: 400000 Factor base limits: 7200000/7200000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved rational special-q in [3600000, 11200001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 1650283 x 1650510 Total sieving time: Total relation processing time: Matrix solve time: Time per square root: Prototype def-par.txt line would be: snfs,180.000,5,0,0,0,0,0,0,0,0,7200000,7200000,28,28,53,53,2.5,2.5,100000 total time: |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | January 15, 2009 00:00:00 UTC 2009 年 1 月 15 日 (木) 9 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 300 | Ignacio Santos | June 19, 2010 12:33:20 UTC 2010 年 6 月 19 日 (土) 21 時 33 分 20 秒 (日本時間) | |
40 | 3e6 | 2144 | 110 | Ignacio Santos | June 19, 2010 12:33:20 UTC 2010 年 6 月 19 日 (土) 21 時 33 分 20 秒 (日本時間) |
2034 | Wataru Sakai | June 29, 2010 05:46:04 UTC 2010 年 6 月 29 日 (火) 14 時 46 分 4 秒 (日本時間) | |||
45 | 11e6 | 32 / 3991 | Ignacio Santos | June 19, 2010 12:33:20 UTC 2010 年 6 月 19 日 (土) 21 時 33 分 20 秒 (日本時間) |
name 名前 | Serge Batalov |
---|---|
date 日付 | January 19, 2009 17:24:21 UTC 2009 年 1 月 20 日 (火) 2 時 24 分 21 秒 (日本時間) |
composite number 合成数 | 24388815269192207415101536582426775795216929883971797866501959610053475357667704940176459281251440274962829403461684200847197479423278893613184618939390517618416809231329<170> |
prime factors 素因数 | 78477341455780825551529021820629<32> 310775248202494631264165765244128945187442184025682887089121058958659378801935873806320769270522775359779824792305932238101974779883118301<138> |
factorization results 素因数分解の結果 | Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=2007374422 Step 1 took 9165ms Step 2 took 7552ms ********** Factor found in step 2: 78477341455780825551529021820629 Found probable prime factor of 32 digits: 78477341455780825551529021820629 Probable prime cofactor has 138 digits |
software ソフトウェア | GMP-ECM 6.2.1 |
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 | January 15, 2009 00:00:00 UTC 2009 年 1 月 15 日 (木) 9 時 0 分 0 秒 (日本時間) |
name 名前 | Serge Batalov |
---|---|
date 日付 | January 19, 2009 09:19:52 UTC 2009 年 1 月 19 日 (月) 18 時 19 分 52 秒 (日本時間) |
composite number 合成数 | 365894166884800078670998724185928518653539252164904493537072292417992526806930515480304656084145823257447222029758329183876468828970823341374275627383706439443<159> |
prime factors 素因数 | 28892316820112975460853426075387<32> 12664064608002915777788152889905085475736571681017867784965528678359881731741429305462714381414364105333224200043928341290790089<128> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=1958335583 Step 1 took 11805ms Step 2 took 12660ms ********** Factor found in step 2: 28892316820112975460853426075387 Found probable prime factor of 32 digits: 28892316820112975460853426075387 Probable prime cofactor has 128 digits |
software ソフトウェア | GMP-ECM 6.2.1 |
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 | January 15, 2009 00:00:00 UTC 2009 年 1 月 15 日 (木) 9 時 0 分 0 秒 (日本時間) |
name 名前 | Serge Batalov |
---|---|
date 日付 | January 19, 2009 17:23:16 UTC 2009 年 1 月 20 日 (火) 2 時 23 分 16 秒 (日本時間) |
composite number 合成数 | 6255297971879821884747043369785056158455859791980388078604418234970138463046074359238080565179950340440541510425815183677827204039382001305960420215480330916471231907<166> |
prime factors 素因数 | 475477038574083556369929814369943<33> |
composite cofactor 合成数の残り | 13155836064426885594128471441995840999104018528889838729522538451337386795995418446303058262145873857043472284395328315703288515892949<134> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=3142684540 Step 1 took 13757ms Step 2 took 15719ms ********** Factor found in step 2: 475477038574083556369929814369943 Found probable prime factor of 33 digits: 475477038574083556369929814369943 Composite cofactor has 134 digits |
software ソフトウェア | GMP-ECM 6.2.1 |
name 名前 | Robert Backstrom |
---|---|
date 日付 | April 30, 2012 15:11:29 UTC 2012 年 5 月 1 日 (火) 0 時 11 分 29 秒 (日本時間) |
composite number 合成数 | 13155836064426885594128471441995840999104018528889838729522538451337386795995418446303058262145873857043472284395328315703288515892949<134> |
prime factors 素因数 | 10321651811128646893116372172944396062778334150519843<53> 1274586307032994917379121637107084401453039125910133418905723077937996081963467943<82> |
factorization results 素因数分解の結果 | Number: n N=13155836064426885594128471441995840999104018528889838729522538451337386795995418446303058262145873857043472284395328315703288515892949 ( 134 digits) Divisors found: Tue May 1 00:57:57 2012 prp53 factor: 10321651811128646893116372172944396062778334150519843 Tue May 1 00:57:57 2012 prp82 factor: 1274586307032994917379121637107084401453039125910133418905723077937996081963467943 Tue May 1 00:57:57 2012 elapsed time 05:12:10 (Msieve 1.44 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.079). Factorization parameters were as follows: name: KA_45557_186 n: 13155836064426885594128471441995840999104018528889838729522538451337386795995418446303058262145873857043472284395328315703288515892949 skew: 249740.29 # norm 4.49e+18 c5: 33120 c4: -74489455304 c3: 53337637534629162 c2: 6603474319354967084911 c1: -289278461174745021278884812 c0: 3043893821503621219972998356323 # alpha -6.14 Y1: 65676558023219 Y0: -52457292278101480931841402 # Murphy_E 4.80e-11 # M 2431135180653467482312429616488574155957021226524480101768902076358700800229489383647663572127387882263779834154372267402569860143706 type: gnfs rlim: 9400000 alim: 9400000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 qintsize: 60000 Factor base limits: 9400000/9400000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved special-q in [100000, 16100000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3140335 hash collisions in 19876463 relations (16939421 unique) Msieve: matrix is 1624227 x 1624452 (470.2 MB) Total sieving time: 0.00 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: gnfs,133,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,9400000,9400000,28,28,53,53,2.5,2.5,60000 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 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | January 15, 2009 00:00:00 UTC 2009 年 1 月 15 日 (木) 9 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 1070 | 300 | Dmitry Domanov | May 25, 2011 07:33:04 UTC 2011 年 5 月 25 日 (水) 16 時 33 分 4 秒 (日本時間) |
770 | Ignacio Santos | July 13, 2011 20:51:27 UTC 2011 年 7 月 14 日 (木) 5 時 51 分 27 秒 (日本時間) | |||
45 | 11e6 | 220 / 4028 | Ignacio Santos | July 13, 2011 20:51:27 UTC 2011 年 7 月 14 日 (木) 5 時 51 分 27 秒 (日本時間) | |
50 | 43e6 | 61 / 7464 | Ignacio Santos | July 13, 2011 20:51:27 UTC 2011 年 7 月 14 日 (木) 5 時 51 分 27 秒 (日本時間) |
name 名前 | Serge Batalov |
---|---|
date 日付 | January 19, 2009 17:25:38 UTC 2009 年 1 月 20 日 (火) 2 時 25 分 38 秒 (日本時間) |
composite number 合成数 | 121822910491953596762006464933869472991117921308936661297544733521297170350918321898321844838615842148409423626097557569496256322534772269896578291573331003841581487196263542770686793<183> |
prime factors 素因数 | 13310078697652045224417963250807<32> 9152681457356347479687513555964152495625936597914799763119468328723604835282886894235884214798391401198686408741531567478099493735823168035935778356799<151> |
factorization results 素因数分解の結果 | Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=2991966525 Step 1 took 10725ms Step 2 took 8230ms ********** Factor found in step 2: 13310078697652045224417963250807 Found probable prime factor of 32 digits: 13310078697652045224417963250807 Probable prime cofactor has 151 digits |
software ソフトウェア | GMP-ECM 6.2.1 |
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 | January 15, 2009 00:00:00 UTC 2009 年 1 月 15 日 (木) 9 時 0 分 0 秒 (日本時間) |
name 名前 | funecm |
---|---|
date 日付 | May 24, 2019 06:14:52 UTC 2019 年 5 月 24 日 (金) 15 時 14 分 52 秒 (日本時間) |
composite number 合成数 | 458571393671194234608098869891726803793170327914095040698989968072603204945169925708085101672909672101835169252424523848774628095183902935774153014507811537537730963518428413<174> |
prime factors 素因数 | 717011926902684686564926435426432730147479<42> |
composite cofactor 合成数の残り | 639558947997015834985732922402701083764916834020644077075054144271958545550351783615157848298493383340908979734485512970491173131147<132> |
factorization results 素因数分解の結果 | -------------------------------------------------- factor not found Stage1: d = 336117098984904960007341623076197741930118330832383115378363395545431843705267622402033608077361513282081035969301673543165007278689043122993454224067970826366821393253971628 Stage1 time: 753.703565 seconds Stage2 time: 304.493870 seconds Stage2 gcd: 1 total time: 1058.197 seconds Y=325655530958482756724096321848985883001245117420018140990778709131215589196808978110926329620847831092947115179123687158290407744612452044133961802705483733575080859048900567 -------------------------------------------------- factor not found Stage1: d = 100963218201791440415216191100074258967703930279811556553879444702030210456943481012926467284797251474233157500661247052654990718118254633749780986107483595440337324837216548 Stage1 time: 752.718484 seconds Stage2 time: 304.298976 seconds Stage2 gcd: 1 total time: 1057.017 seconds Y=187855073217940709336439113290058757490939293702256962348216672674034889397499599543812193678117768092417036928756264998567781229730986819620381938572399015273622995070000840 -------------------------------------------------- factor not found Stage1: d = 83989228647764859516186749951780355878595010950441632656922005434191539083756245595668663073504454339192459159745278790497911601763371Stage1: d = 336117098984904960007341623076197741930118330832383115378363395545431843705267622402033608077361513282081035969301673543165007278689043122993454224067970826366821393253971628 Stage1 time: 753.703565 seconds Stage2 time: 304.493870 seconds Stage2 gcd: 1 total time: 1058.197 seconds Y=325655530958482756724096321848985883001245117420018140990778709131215589196808978110926329620847831092947115179123687158290407744612452044133961802705483733575080859048900567 -------------------------------------------------- factor not found Stage1: d = 100963218201791440415216191100074258967703930279811556553879444702030210456943481012926467284797251474233157500661247052654990718118254633749780986107483595440337324837216548 Stage1 time: 752.718484 seconds Stage2 time: 304.298976 seconds Stage2 gcd: 1 total time: 1057.017 seconds Y=187855073217940709336439113290058757490939293702256962348216672674034889397499599543812193678117768092417036928756264998567781229730986819620381938572399015273622995070000840 -------------------------------------------------- factor not found Stage1: d = 83989228647764859516186749951780355878595010950441632656922005434191539083756245595668663073504454339192459159745278790497911601763371393815772851154313223375274232010080937 Stage1 time: 746.446853 seconds B1=43000000 B2=4300000000 elliptic curves: 4000 window size: 4 threads = 12 -------------------------------------------------- @ probable prime factor found: 717011926902684686564926435426432730147479 digits: 42 cofactor: 639558947997015834985732922402701083764916834020644077075054144271958545550351783615157848298493383340908979734485512970491173131147 total time: 6328.180 seconds |
software ソフトウェア | funecm |
name 名前 | Eric Jeancolas |
---|---|
date 日付 | June 5, 2019 19:34:58 UTC 2019 年 6 月 6 日 (木) 4 時 34 分 58 秒 (日本時間) |
composite number 合成数 | 639558947997015834985732922402701083764916834020644077075054144271958545550351783615157848298493383340908979734485512970491173131147<132> |
prime factors 素因数 | 17129827415210454766497624811435316509375033485005550576758469397<65> 37335983165196314347498770824031843854699375980119394730657180062751<68> |
factorization results 素因数分解の結果 | 24443*1735997*2341159*717011926902684686564926435426432730147479*17129827415210454766497624811435316509375033485005550576758469397*37335983165196314347498770824031843854699375980119394730657180062751 Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 38210.8 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38517/39.500/47.105/51.290/0.842 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 38517/38.440/42.501/47.930/1.245 Info:Polynomial Selection (size optimized): Total time: 15249.4 Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 8462.35 Info:Polynomial Selection (root optimized): Rootsieve time: 8458.87 Info:Generate Factor Base: Total cpu/real time for makefb: 129/68.5517 Info:Generate Free Relations: Total cpu/real time for freerel: 665.29/332.408 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 19235162 Info:Lattice Sieving: Average J: 8192 for 85136 special-q, max bucket fill: 0.625595 Info:Lattice Sieving: Total CPU time: 834368s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 128.81/519.803 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 519.3s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 588.66/878.858 Info:Filtering - Singleton removal: Total cpu/real time for purge: 308.28/467.621 Info:Filtering - Merging: Total cpu/real time for merge: 2146.48/2337.75 Info:Filtering - Merging: Total cpu/real time for replay: 232.9/303.531 Info:Linear Algebra: Total cpu/real time for bwc: 207337/0.000553131 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: WCT time 54942.92 Info:Linear Algebra: Lingen CPU time 17876.68, WCT time 4939.99 Info:Linear Algebra: Mksol: WCT time 15105.59 Info:Quadratic Characters: Total cpu/real time for characters: 199.61/77.5648 Info:Square Root: Total cpu/real time for sqrt: 9189.48/1490.17 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 1.07901e+06/229788 Info:root: Cleaning up computation data in /tmp/cado.q5yx9fb7 37335983165196314347498770824031843854699375980119394730657180062751 17129827415210454766497624811435316509375033485005550576758469397 |
software ソフトウェア | cado-nfs-2.3.0 |
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 | January 15, 2009 00:00:00 UTC 2009 年 1 月 15 日 (木) 9 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 1800 | 300 | Dmitry Domanov | May 25, 2011 07:33:13 UTC 2011 年 5 月 25 日 (水) 16 時 33 分 13 秒 (日本時間) |
1500 | Dmitry Domanov | September 27, 2013 13:04:37 UTC 2013 年 9 月 27 日 (金) 22 時 4 分 37 秒 (日本時間) | |||
45 | 11e6 | 1000 / 4081 | Dmitry Domanov | October 15, 2013 13:50:07 UTC 2013 年 10 月 15 日 (火) 22 時 50 分 7 秒 (日本時間) |
name 名前 | Robert Balfour |
---|---|
date 日付 | July 2, 2020 00:08:26 UTC 2020 年 7 月 2 日 (木) 9 時 8 分 26 秒 (日本時間) |
composite number 合成数 | 3101773432317779575953430800936384993694753617019939656800661632754153790322092602751804366694957861331195126610670880911700228126567695203259640825091<151> |
prime factors 素因数 | 124213120936260231510047772169705097034066517342661<51> 24971383127145237380772096766173127878135501542237777877421838413654953421446105820958557657723246631<101> |
factorization results 素因数分解の結果 | Sun 2020/06/28 03:19:53 UTC GMP-ECM 7.0.5-dev [configured with GMP 6.2.0, --enable-asm-redc, --enable-assert] [ECM] Sun 2020/06/28 03:19:54 UTC Input number is 3101773432317779575953430800936384993694753617019939656800661632754153790322092602751804366694957861331195126610670880911700228126567695203259640825091 (151 digits) Sun 2020/06/28 03:19:54 UTC Run 1709 out of 4000: Sun 2020/06/28 03:19:54 UTC Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2947810851 Sun 2020/06/28 03:19:54 UTC Step 1 took 12866ms Sun 2020/06/28 03:19:54 UTC Step 2 took 6255ms Sun 2020/06/28 03:19:54 UTC ********** Factor found in step 2: 124213120936260231510047772169705097034066517342661 Sun 2020/06/28 03:19:54 UTC Found prime factor of 51 digits: 124213120936260231510047772169705097034066517342661 Sun 2020/06/28 03:19:54 UTC Prime cofactor 24971383127145237380772096766173127878135501542237777877421838413654953421446105820958557657723246631 has 101 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 | January 15, 2009 00:00:00 UTC 2009 年 1 月 15 日 (木) 9 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 1800 | 300 | Dmitry Domanov | May 25, 2011 07:33:34 UTC 2011 年 5 月 25 日 (水) 16 時 33 分 34 秒 (日本時間) |
1500 | Dmitry Domanov | September 27, 2013 13:04:47 UTC 2013 年 9 月 27 日 (金) 22 時 4 分 47 秒 (日本時間) | |||
45 | 11e6 | 6000 | 1000 | Dmitry Domanov | October 15, 2013 13:50:23 UTC 2013 年 10 月 15 日 (火) 22 時 50 分 23 秒 (日本時間) |
1000 | Dmitry Domanov | August 5, 2014 11:08:50 UTC 2014 年 8 月 5 日 (火) 20 時 8 分 50 秒 (日本時間) | |||
4000 | Robert Balfour | April 28, 2020 16:49:20 UTC 2020 年 4 月 29 日 (水) 1 時 49 分 20 秒 (日本時間) |
name 名前 | Robert Backstrom |
---|---|
date 日付 | March 23, 2012 04:32:47 UTC 2012 年 3 月 23 日 (金) 13 時 32 分 47 秒 (日本時間) |
composite number 合成数 | 44572925998870048762466064377256452985973226454363895627304228320428088185945322692931460058570490985460644760927634963379087659550123993357513619357564405690741713250180139445561647<182> |
prime factors 素因数 | 31552157964746452521791070830806572820149600806723377<53> 1412674405619794151393196509724950925260744100687515335395628812153427287740912785272232754817531287263170223760050895950467708511<130> |
factorization results 素因数分解の結果 | Number: n N=44572925998870048762466064377256452985973226454363895627304228320428088185945322692931460058570490985460644760927634963379087659550123993357513619357564405690741713250180139445561647 ( 182 digits) SNFS difficulty: 193 digits. Divisors found: Fri Mar 23 15:28:28 2012 prp53 factor: 31552157964746452521791070830806572820149600806723377 Fri Mar 23 15:28:28 2012 prp130 factor: 1412674405619794151393196509724950925260744100687515335395628812153427287740912785272232754817531287263170223760050895950467708511 Fri Mar 23 15:28:28 2012 elapsed time 05:13:22 (Msieve 1.44 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=1.636). Factorization parameters were as follows: name: KA_45557_192 n: 44572925998870048762466064377256452985973226454363895627304228320428088185945322692931460058570490985460644760927634963379087659550123993357513619357564405690741713250180139445561647 m: 100000000000000000000000000000000000000 # c182, diff: 193.61 skew: 0.32 deg: 5 c5: 4100 c0: 13 type: snfs lss: 1 rlim: 15000000 alim: 15000000 lpbr: 29 lpba: 29 mfbr: 57 mfba: 57 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 15000000/15000000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 57/57 Sieved special-q in [100000, 17200000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 10136098 hash collisions in 80708467 relations (72734794 unique) Msieve: matrix is 1560664 x 1560891 (438.6 MB) Total sieving time: 0.00 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,193,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7 CPU 930 @ 2.80GHz stepping 05 CPU1: Intel(R) Core(TM) i7 CPU 930 @ 2.80GHz stepping 05 CPU2: Intel(R) Core(TM) i7 CPU 930 @ 2.80GHz stepping 05 CPU3: Intel(R) Core(TM) i7 CPU 930 @ 2.80GHz stepping 05 CPU4: Intel(R) Core(TM) i7 CPU 930 @ 2.80GHz stepping 05 CPU5: Intel(R) Core(TM) i7 CPU 930 @ 2.80GHz stepping 05 CPU6: Intel(R) Core(TM) i7 CPU 930 @ 2.80GHz stepping 05 CPU7: Intel(R) Core(TM) i7 CPU 930 @ 2.80GHz stepping 05 Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.73 BogoMIPS (lpj=2797867) Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554) Calibrating delay using timer specific routine.. 5595.12 BogoMIPS (lpj=2797563) Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554) Calibrating delay using timer specific routine.. 5595.09 BogoMIPS (lpj=2797547) Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555) Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554) Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553) Total of 8 processors activated (44761.49 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 | January 15, 2009 00:00:00 UTC 2009 年 1 月 15 日 (木) 9 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 300 / 2336 | Dmitry Domanov | May 25, 2011 07:33:41 UTC 2011 年 5 月 25 日 (水) 16 時 33 分 41 秒 (日本時間) |
name 名前 | Bob Backstrom |
---|---|
date 日付 | March 3, 2021 02:43:16 UTC 2021 年 3 月 3 日 (水) 11 時 43 分 16 秒 (日本時間) |
composite number 合成数 | 19208056827117059360486839296826501233314372447177288996567839624763312392331495251195420331760951050846036769303794666466356643630502635631143611911547437721791623503981547215353<179> |
prime factors 素因数 | 43570563943018531300747945206732510863056527580949837019664309527838921<71> 440849396676097776890610312405494439651860557386086418460475359964674581865874782866635329572124181476431793<108> |
factorization results 素因数分解の結果 | Number: n N=19208056827117059360486839296826501233314372447177288996567839624763312392331495251195420331760951050846036769303794666466356643630502635631143611911547437721791623503981547215353 ( 179 digits) SNFS difficulty: 194 digits. Divisors found: Wed Mar 3 13:38:57 2021 p71 factor: 43570563943018531300747945206732510863056527580949837019664309527838921 Wed Mar 3 13:38:57 2021 p108 factor: 440849396676097776890610312405494439651860557386086418460475359964674581865874782866635329572124181476431793 Wed Mar 3 13:38:57 2021 elapsed time 01:01:01 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.343). Factorization parameters were as follows: # # N = 41x10^193+13 = 45(192)7 # n: 19208056827117059360486839296826501233314372447177288996567839624763312392331495251195420331760951050846036769303794666466356643630502635631143611911547437721791623503981547215353 m: 100000000000000000000000000000000000000 deg: 5 c5: 41000 c0: 13 skew: 0.20 # Murphy_E = 2.093e-11 type: snfs lss: 1 rlim: 12300000 alim: 12300000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 12300000/12300000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved special-q in [100000, 18950000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3793362 hash collisions in 28972259 relations (26731579 unique) Msieve: matrix is 1600189 x 1600415 (559.1 MB) Sieving start time : 2021/03/03 07:06:41 Sieving end time : 2021/03/03 12:37:07 Total sieving time: 5hrs 30min 26secs. Total relation processing time: 0hrs 50min 7sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 2min 31sec. Prototype def-par.txt line would be: snfs,194,5,0,0,0,0,0,0,0,0,12300000,12300000,28,28,55,55,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.116378] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16241916K/16727236K available (14339K kernel code, 2400K rwdata, 4964K rodata, 2732K init, 4968K bss, 485320K reserved, 0K cma-reserved) [ 0.154161] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.20 BogoMIPS (lpj=12798400) [ 0.152017] smpboot: Total of 16 processors activated (102387.20 BogoMIPS) |
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 | January 15, 2009 00:00:00 UTC 2009 年 1 月 15 日 (木) 9 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 1800 | 300 | Dmitry Domanov | May 25, 2011 07:33:49 UTC 2011 年 5 月 25 日 (水) 16 時 33 分 49 秒 (日本時間) |
1500 | Dmitry Domanov | September 27, 2013 13:04:57 UTC 2013 年 9 月 27 日 (金) 22 時 4 分 57 秒 (日本時間) | |||
45 | 11e6 | 1000 / 4081 | Dmitry Domanov | October 15, 2013 13:50:40 UTC 2013 年 10 月 15 日 (火) 22 時 50 分 40 秒 (日本時間) |
name 名前 | Edwin Hall |
---|---|
date 日付 | January 4, 2021 17:46:07 UTC 2021 年 1 月 5 日 (火) 2 時 46 分 7 秒 (日本時間) |
composite number 合成数 | 475096004989104024699341965350478246699380680345103250002598006416873167632536198264506691925924805872754746538288927448548224280255850124814476054583656711154683<162> |
prime factors 素因数 | 1751680347968897837887218867643347094852851711397754929529924445401<67> 271223003409261086555326356501709651957615137632176155995982297691348068059579001697692183626483<96> |
factorization results 素因数分解の結果 | p67 factor: 1751680347968897837887218867643347094852851711397754929529924445401 p96 factor: 271223003409261086555326356501709651957615137632176155995982297691348068059579001697692183626483 Msieve v. 1.54 (SVN 1034) random seeds: 6e5f302a 348017f0 factoring 475096004989104024699341965350478246699380680345103250002598006416873167632536198264506691925924805872754746538288927448548224280255850124814476054583656711154683 (162 digits) searching for 15-digit factors commencing number field sieve (162-digit input) R0: -1000000000000000000000000000000000000000 R1: 1 A0: 13 A1: 0 A2: 0 A3: 0 A4: 0 A5: 41 skew 1.00, size 1.132e-13, alpha 0.741, combined = 2.155e-11 rroots = 1 commencing relation filtering estimated available RAM is 15892.2 MB commencing duplicate removal, pass 1 found 631687 hash collisions in 37241303 relations added 726624 free relations commencing duplicate removal, pass 2 found 0 duplicates and 37967927 unique relations memory use: 144.6 MB reading ideals above 720000 commencing singleton removal, initial pass memory use: 753.0 MB reading all ideals from disk memory use: 1244.1 MB keeping 40275660 ideals with weight <= 200, target excess is 201028 commencing in-memory singleton removal begin with 37967927 relations and 40275660 unique ideals reduce to 14867153 relations and 13271192 ideals in 15 passes max relations containing the same ideal: 108 removing 2092800 relations and 1692800 ideals in 400000 cliques commencing in-memory singleton removal begin with 12774353 relations and 13271192 unique ideals reduce to 12525705 relations and 11321184 ideals in 8 passes max relations containing the same ideal: 99 removing 1676057 relations and 1276057 ideals in 400000 cliques commencing in-memory singleton removal begin with 10849648 relations and 11321184 unique ideals reduce to 10661883 relations and 9851294 ideals in 9 passes max relations containing the same ideal: 88 removing 1575438 relations and 1175438 ideals in 400000 cliques commencing in-memory singleton removal begin with 9086445 relations and 9851294 unique ideals reduce to 8884055 relations and 8466266 ideals in 9 passes max relations containing the same ideal: 78 removing 861262 relations and 676666 ideals in 184596 cliques commencing in-memory singleton removal begin with 8022793 relations and 8466266 unique ideals reduce to 7953558 relations and 7719054 ideals in 9 passes max relations containing the same ideal: 74 relations with 0 large ideals: 4199 relations with 1 large ideals: 10614 relations with 2 large ideals: 89021 relations with 3 large ideals: 411213 relations with 4 large ideals: 1137753 relations with 5 large ideals: 1956702 relations with 6 large ideals: 2196162 relations with 7+ large ideals: 2147894 commencing 2-way merge reduce to 4931345 relation sets and 4696841 unique ideals commencing full merge memory use: 546.3 MB found 2296466 cycles, need 2271041 weight of 2271041 cycles is about 204737426 (90.15/cycle) distribution of cycle lengths: 1 relations: 189573 2 relations: 190062 3 relations: 197429 4 relations: 194354 5 relations: 190262 6 relations: 176919 7 relations: 166284 8 relations: 151606 9 relations: 136332 10+ relations: 678220 heaviest cycle: 26 relations commencing cycle optimization start with 16755453 relations pruned 569321 relations memory use: 495.4 MB distribution of cycle lengths: 1 relations: 189573 2 relations: 194634 3 relations: 204881 4 relations: 200876 5 relations: 197797 6 relations: 182461 7 relations: 171715 8 relations: 155262 9 relations: 139558 10+ relations: 634284 heaviest cycle: 26 relations RelProcTime: 973 elapsed time 00:16:14 Msieve v. 1.54 (SVN 1034) random seeds: 9cdf6f4a a53b2c20 factoring 475096004989104024699341965350478246699380680345103250002598006416873167632536198264506691925924805872754746538288927448548224280255850124814476054583656711154683 (162 digits) searching for 15-digit factors commencing number field sieve (162-digit input) R0: -1000000000000000000000000000000000000000 R1: 1 A0: 13 A1: 0 A2: 0 A3: 0 A4: 0 A5: 41 skew 1.00, size 1.132e-13, alpha 0.741, combined = 2.155e-11 rroots = 1 commencing linear algebra read 2271041 cycles cycles contain 7783076 unique relations read 7783076 relations using 20 quadratic characters above 4294917295 building initial matrix memory use: 953.1 MB read 2271041 cycles matrix is 2270863 x 2271041 (835.0 MB) with weight 244109510 (107.49/col) sparse part has weight 193900160 (85.38/col) filtering completed in 2 passes matrix is 2270171 x 2270349 (834.9 MB) with weight 244083573 (107.51/col) sparse part has weight 193890155 (85.40/col) matrix starts at (0, 0) matrix is 2270171 x 2270349 (834.9 MB) with weight 244083573 (107.51/col) sparse part has weight 193890155 (85.40/col) saving the first 48 matrix rows for later matrix includes 64 packed rows matrix is 2270123 x 2270349 (793.0 MB) with weight 200494086 (88.31/col) sparse part has weight 185169385 (81.56/col) using block size 8192 and superblock size 786432 for processor cache size 8192 kB commencing Lanczos iteration (8 threads) memory use: 753.0 MB linear algebra at 0.1%, ETA 2h28m checkpointing every 920000 dimensions lanczos halted after 35903 iterations (dim = 2270119) recovered 34 nontrivial dependencies BLanczosTime: 8768 elapsed time 02:26:08 Msieve v. 1.54 (SVN 1034) random seeds: da141351 6d65d388 factoring 475096004989104024699341965350478246699380680345103250002598006416873167632536198264506691925924805872754746538288927448548224280255850124814476054583656711154683 (162 digits) searching for 15-digit factors commencing number field sieve (162-digit input) R0: -1000000000000000000000000000000000000000 R1: 1 A0: 13 A1: 0 A2: 0 A3: 0 A4: 0 A5: 41 skew 1.00, size 1.132e-13, alpha 0.741, combined = 2.155e-11 rroots = 1 commencing square root phase reading relations for dependency 1 read 1134751 cycles cycles contain 3891060 unique relations read 3891060 relations multiplying 3891060 relations multiply complete, coefficients have about 106.90 million bits initial square root is modulo 47101331 sqrtTime: 210 p67 factor: 1751680347968897837887218867643347094852851711397754929529924445401 p96 factor: 271223003409261086555326356501709651957615137632176155995982297691348068059579001697692183626483 elapsed time 00:03:31 |
software ソフトウェア | CADO-NFS/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 | January 15, 2009 00:00:00 UTC 2009 年 1 月 15 日 (木) 9 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 1800 | 300 | Dmitry Domanov | May 25, 2011 07:33:57 UTC 2011 年 5 月 25 日 (水) 16 時 33 分 57 秒 (日本時間) |
1500 | Dmitry Domanov | September 27, 2013 13:05:08 UTC 2013 年 9 月 27 日 (金) 22 時 5 分 8 秒 (日本時間) | |||
45 | 11e6 | 2000 / 4081 | 1000 | Dmitry Domanov | October 15, 2013 13:50:55 UTC 2013 年 10 月 15 日 (火) 22 時 50 分 55 秒 (日本時間) |
1000 | Dmitry Domanov | August 6, 2014 06:30:56 UTC 2014 年 8 月 6 日 (水) 15 時 30 分 56 秒 (日本時間) |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | May 25, 2011 07:32:18 UTC 2011 年 5 月 25 日 (水) 16 時 32 分 18 秒 (日本時間) |
composite number 合成数 | 215097887546225092129269062269897906402432861350627836703716588843741047161130187260732959061415610213629994440986511977939879628526922173002591176030223396339484104327398725924681278459<186> |
prime factors 素因数 | 12808864649430124686315649438159<32> |
composite cofactor 合成数の残り | 16792892534452298005194992385220156331581001684609230570141289875543604686804949142143906349767956843884075986898934921822317998556918847748878944285831701<155> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3984862964 Step 1 took 69685ms Step 2 took 26982ms ********** Factor found in step 2: 12808864649430124686315649438159 Found probable prime factor of 32 digits: 12808864649430124686315649438159 Composite cofactor 16792892534452298005194992385220156331581001684609230570141289875543604686804949142143906349767956843884075986898934921822317998556918847748878944285831701 has 155 digits |
name 名前 | Eric Jeancolas |
---|---|
date 日付 | September 12, 2021 19:28:16 UTC 2021 年 9 月 13 日 (月) 4 時 28 分 16 秒 (日本時間) |
composite number 合成数 | 16792892534452298005194992385220156331581001684609230570141289875543604686804949142143906349767956843884075986898934921822317998556918847748878944285831701<155> |
prime factors 素因数 | 852886016557115604793157699922098602949011214118584629158616423275069920899<75> 19689492157745701242289286692615712199913477385438399760526331504054048068907399<80> |
factorization results 素因数分解の結果 | 16792892534452298005194992385220156331581001684609230570141289875543604686804949142143906349767956843884075986898934921822317998556918847748878944285831701=852886016557115604793157699922098602949011214118584629158616423275069920899*19689492157745701242289286692615712199913477385438399760526331504054048068907399 cado polynomial n: 16792892534452298005194992385220156331581001684609230570141289875543604686804949142143906349767956843884075986898934921822317998556918847748878944285831701 skew: 1.21 type: snfs c0: 130 c6: 41 Y0: 1000000000000000000000000000000000 Y1: -1 # f(x) = 41*x^6+130 # g(x) = -x+1000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 14900000 tasks.lim1 = 14900000 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: 852886016557115604793157699922098602949011214118584629158616423275069920899 19689492157745701242289286692615712199913477385438399760526331504054048068907399 Info:Square Root: Total cpu/real time for sqrt: 891.66/272.611 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 135.69/159.784 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 158.90000000000003s Info:Linear Algebra: Total cpu/real time for bwc: 162189/41556.1 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 103649.25, WCT time 26425.54, iteration CPU time 0.27, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (93696 iterations) Info:Linear Algebra: Lingen CPU time 646.0, WCT time 164.0 Info:Linear Algebra: Mksol: CPU time 56758.3, WCT time 14560.68, iteration CPU time 0.29, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (47104 iterations) Info:Generate Free Relations: Total cpu/real time for freerel: 183.59/47.4885 Info:Generate Factor Base: Total cpu/real time for makefb: 9.57/3.724 Info:Square Root: Total cpu/real time for sqrt: 891.66/272.611 Info:Filtering - Merging: Merged matrix has 2987334 rows and total weight 508932038 (170.4 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 840.07/232.714 Info:Filtering - Merging: Total cpu/real time for replay: 118.95/104.793 Info:Filtering - Singleton removal: Total cpu/real time for purge: 497.72/586.106 Info:Quadratic Characters: Total cpu/real time for characters: 103.87/44.6623 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 31139251 Info:Lattice Sieving: Average J: 1893.55 for 5489716 special-q, max bucket fill -bkmult 1.0,1s:1.204670 Info:Lattice Sieving: Total time: 1.20843e+06s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 618.26/638.461 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 522.3s Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.42964e+06/282352 852886016557115604793157699922098602949011214118584629158616423275069920899 19689492157745701242289286692615712199913477385438399760526331504054048068907399 |
software ソフトウェア | cado-nfs-3.0.0 |
execution environment 実行環境 | Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | January 15, 2009 00:00:00 UTC 2009 年 1 月 15 日 (木) 9 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 1800 | 300 | Dmitry Domanov | May 25, 2011 07:31:55 UTC 2011 年 5 月 25 日 (水) 16 時 31 分 55 秒 (日本時間) |
1500 | Dmitry Domanov | September 27, 2013 13:05:19 UTC 2013 年 9 月 27 日 (金) 22 時 5 分 19 秒 (日本時間) | |||
45 | 11e6 | 5980 | 1500 | Dmitry Domanov | November 5, 2013 13:14:01 UTC 2013 年 11 月 5 日 (火) 22 時 14 分 1 秒 (日本時間) |
4480 | Ignacio Santos | August 20, 2021 16:48:26 UTC 2021 年 8 月 21 日 (土) 1 時 48 分 26 秒 (日本時間) |
name 名前 | Sinkiti Sibata |
---|---|
date 日付 | November 16, 2009 01:43:15 UTC 2009 年 11 月 16 日 (月) 10 時 43 分 15 秒 (日本時間) |
composite number 合成数 | 48984468339307048984468339307048984468339307048984468339307048984468339307048984468339307048984468339307048984468339307048984468339307048984468339307048984468339307048984468339307048984468339307049<197> |
prime factors 素因数 | 429273887712751328262058289867997079191088552925834213834435798699<66> 114110058266774921221247378607450666721138374033977704640115321152455033337303110382308778010226239545436861604901232470700565846651<132> |
factorization results 素因数分解の結果 | Number: 45557_198 N=48984468339307048984468339307048984468339307048984468339307048984468339307048984468339307048984468339307048984468339307048984468339307048984468339307048984468339307048984468339307048984468339307049 ( 197 digits) SNFS difficulty: 201 digits. Divisors found: r1=429273887712751328262058289867997079191088552925834213834435798699 (pp66) r2=114110058266774921221247378607450666721138374033977704640115321152455033337303110382308778010226239545436861604901232470700565846651 (pp132) Version: Msieve v. 1.42 Total time: 51.51 hours. Scaled time: 43.47 units (timescale=0.844). Factorization parameters were as follows: name: 45557_198 n: 48984468339307048984468339307048984468339307048984468339307048984468339307048984468339307048984468339307048984468339307048984468339307048984468339307048984468339307048984468339307048984468339307049 m: 5000000000000000000000000000000000000000 deg: 5 c5: 328 c0: 325 skew: 1.00 type: snfs rlim: 9500000 alim: 9500000 lpbr: 29 lpba: 29 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 9500000/9500000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 56/56 Sieved rational special-q in [4750000, 15250001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 3000927 x 3001153 Total sieving time: 0.00 hours. Total relation processing time: 0.42 hours. Matrix solve time: 48.31 hours. Time per square root: 2.78 hours. Prototype def-par.txt line would be: snfs,201.000,5,0,0,0,0,0,0,0,0,9500000,9500000,29,29,56,56,2.6,2.6,100000 total time: 51.51 hours. --------- CPU info (if available) ---------- CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02 CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02 Memory: 3886124k/4718592k available (3786k kernel code, 656964k absent, 175504k reserved, 2294k data, 1304k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 5827.16 BogoMIPS (lpj=2913583) Calibrating delay using timer specific routine.. 5826.53 BogoMIPS (lpj=2913268) Total of 2 processors activated (11653.70 BogoMIPS). Total time: 19 days 1 hour. |
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 | January 15, 2009 00:00:00 UTC 2009 年 1 月 15 日 (木) 9 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 2336 | Wataru Sakai | August 26, 2009 04:29:59 UTC 2009 年 8 月 26 日 (水) 13 時 29 分 59 秒 (日本時間) |
name 名前 | Serge Batalov |
---|---|
date 日付 | January 19, 2009 17:26:52 UTC 2009 年 1 月 20 日 (火) 2 時 26 分 52 秒 (日本時間) |
composite number 合成数 | 127854523528136157867778277224787157670755812676158828729946181240571086024400176152223248194429517277714410156878213105373312673461039794614033985568024169731751088911297964191<177> |
prime factors 素因数 | 58353764412673836663918994118972963<35> |
composite cofactor 合成数の残り | 2191024432013634960794090277665614347010855183558630212912013314951732600038683331878702811507365885655845895638870854178571130009885108643157<142> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=2107319941 Step 1 took 16034ms Step 2 took 17177ms ********** Factor found in step 2: 58353764412673836663918994118972963 Found probable prime factor of 35 digits: 58353764412673836663918994118972963 Composite cofactor has 142 digits |
software ソフトウェア | GMP-ECM 6.2.1 |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | August 20, 2013 09:53:29 UTC 2013 年 8 月 20 日 (火) 18 時 53 分 29 秒 (日本時間) |
composite number 合成数 | 2191024432013634960794090277665614347010855183558630212912013314951732600038683331878702811507365885655845895638870854178571130009885108643157<142> |
prime factors 素因数 | 180121409821077295769071464962272637932837821487<48> 12164153246357987949971575965510213907950957910643194037482944346041871691227018248105013076411<95> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2354545831 Step 1 took 21003ms Step 2 took 8947ms ********** Factor found in step 2: 180121409821077295769071464962272637932837821487 Found probable prime factor of 48 digits: 180121409821077295769071464962272637932837821487 |
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 | January 15, 2009 00:00:00 UTC 2009 年 1 月 15 日 (木) 9 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 300 / 2336 | Dmitry Domanov | May 25, 2011 07:34:10 UTC 2011 年 5 月 25 日 (水) 16 時 34 分 10 秒 (日本時間) |
name 名前 | Bob Backstrom |
---|---|
date 日付 | August 29, 2021 18:45:20 UTC 2021 年 8 月 30 日 (月) 3 時 45 分 20 秒 (日本時間) |
composite number 合成数 | 57557994633098580359144906247118572493957116121398937362170448899338776380932844094819689628351682951912928403930438694184600178427692684303399157306297111829155217<164> |
prime factors 素因数 | 153100263704938778310213332160830458128750901<45> 375949676638224159051088093564128355398667482999524378741195354188694256374948126991442115016136182535278904841383479917<120> |
factorization results 素因数分解の結果 | # # N = 41x10^202+13 = 45(201)7 # n: 57557994633098580359144906247118572493957116121398937362170448899338776380932844094819689628351682951912928403930438694184600178427692684303399157306297111829155217 m: 10000000000000000000000000000000000000000 deg: 5 c5: 4100 c0: 13 skew: 0.32 # Murphy_E = 8.759e-12 type: snfs lss: 1 rlim: 17300000 alim: 17300000 lpbr: 29 lpba: 29 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 57557994633098580359144906247118572493957116121398937362170448899338776380932844094819689628351682951912928403930438694184600178427692684303399157306297111829155217 (164 digits) Using B1=40830000, B2=192394462276, polynomial Dickson(12), sigma=1:3211783797 Step 1 took 93888ms Step 2 took 29549ms ********** Factor found in step 2: 153100263704938778310213332160830458128750901 Found prime factor of 45 digits: 153100263704938778310213332160830458128750901 Prime cofactor 375949676638224159051088093564128355398667482999524378741195354188694256374948126991442115016136182535278904841383479917 has 120 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 | January 15, 2009 00:00:00 UTC 2009 年 1 月 15 日 (木) 9 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 1800 | 300 | Dmitry Domanov | May 25, 2011 07:34:17 UTC 2011 年 5 月 25 日 (水) 16 時 34 分 17 秒 (日本時間) |
1500 | Dmitry Domanov | September 27, 2013 13:05:29 UTC 2013 年 9 月 27 日 (金) 22 時 5 分 29 秒 (日本時間) | |||
45 | 11e6 | 1500 / 4081 | Dmitry Domanov | November 5, 2013 13:14:16 UTC 2013 年 11 月 5 日 (火) 22 時 14 分 16 秒 (日本時間) |
name 名前 | Robert Backstrom |
---|---|
date 日付 | February 2, 2011 19:36:50 UTC 2011 年 2 月 3 日 (木) 4 時 36 分 50 秒 (日本時間) |
composite number 合成数 | 9370675254812829663926605799651246779427476014265376622717262654069014259884492805722354146473861412160623768460433092817582886382406958548253484289609257492125130210389418042921171244539790379503<196> |
prime factors 素因数 | 14324209486828596464745812634777698257423807<44> 5313714191938189162326569285181792688443993682358569057360774718852316907<73> 123112466504764154378837227513318858562814746613392863520003666753176088211748147<81> |
factorization results 素因数分解の結果 | Number: n N=9370675254812829663926605799651246779427476014265376622717262654069014259884492805722354146473861412160623768460433092817582886382406958548253484289609257492125130210389418042921171244539790379503 ( 196 digits) SNFS difficulty: 204 digits. Divisors found: Thu Feb 3 06:07:45 2011 prp44 factor: 14324209486828596464745812634777698257423807 Thu Feb 3 06:07:45 2011 prp73 factor: 5313714191938189162326569285181792688443993682358569057360774718852316907 Thu Feb 3 06:07:45 2011 prp81 factor: 123112466504764154378837227513318858562814746613392863520003666753176088211748147 Thu Feb 3 06:07:45 2011 elapsed time 09:24:32 (Msieve 1.44 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.074). Factorization parameters were as follows: name: KA_4_5_202_7 n: 9370675254812829663926605799651246779427476014265376622717262654069014259884492805722354146473861412160623768460433092817582886382406958548253484289609257492125130210389418042921171244539790379503 m: 10000000000000000000000000000000000000000 # Diff: 204.61 deg: 5 c5: 41000 c0: 13 skew: 0.20 type: snfs lss: 1 rlim: 18000000 alim: 18000000 lpbr: 28 lpba: 28 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 18000000/18000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 56/56 Sieved special-q in [100000, 29800000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 6099619 hash collisions in 34468751 relations Msieve: matrix is 2455886 x 2456111 (697.3 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,204,5,0,0,0,0,0,0,0,0,18000000,18000000,28,28,56,56,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU Q9550 @ 2.83GHz stepping 07 CPU1: Intel(R) Core(TM)2 Quad CPU Q9550 @ 2.83GHz stepping 07 CPU2: Intel(R) Core(TM)2 Quad CPU Q9550 @ 2.83GHz stepping 07 CPU3: Intel(R) Core(TM)2 Quad CPU Q9550 @ 2.83GHz stepping 07 Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.85 BogoMIPS (lpj=2830925) Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830449) Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460) Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460) Total of 4 processors activated (22644.58 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 | January 15, 2009 00:00:00 UTC 2009 年 1 月 15 日 (木) 9 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 2336 | Wataru Sakai | June 21, 2010 00:19:37 UTC 2010 年 6 月 21 日 (月) 9 時 19 分 37 秒 (日本時間) |
name 名前 | Bob Backstrom |
---|---|
date 日付 | February 2, 2024 14:41:56 UTC 2024 年 2 月 2 日 (金) 23 時 41 分 56 秒 (日本時間) |
composite number 合成数 | 7189723408506203191108231232562879253157237509747673077973287345371614708229072330284341132703695697072664823864443062110784636352190822757431599641369389486769606970674724667<175> |
prime factors 素因数 | 72743135143839494963707694892366912250294740909589091<53> 98837139673585953324697794455027348770780249757931902686603193094575656094322572668466077441280927480373935684369295211337<122> |
factorization results 素因数分解の結果 | Number: n N=7189723408506203191108231232562879253157237509747673077973287345371614708229072330284341132703695697072664823864443062110784636352190822757431599641369389486769606970674724667 ( 175 digits) SNFS difficulty: 206 digits. Divisors found: Fri Feb 2 21:48:58 2024 prp53 factor: 72743135143839494963707694892366912250294740909589091 Fri Feb 2 21:48:58 2024 prp122 factor: 98837139673585953324697794455027348770780249757931902686603193094575656094322572668466077441280927480373935684369295211337 Fri Feb 2 21:48:58 2024 elapsed time 04:51:03 (Msieve 1.44 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.042). Factorization parameters were as follows: # # N = 41x10^204+13 = 45(203)7 # n: 7189723408506203191108231232562879253157237509747673077973287345371614708229072330284341132703695697072664823864443062110784636352190822757431599641369389486769606970674724667 m: 50000000000000000000000000000000000000000 deg: 5 c5: 656 c0: 65 skew: 0.63 # Murphy_E = 7.137e-12 type: snfs lss: 1 rlim: 19200000 alim: 19200000 lpbr: 27 lpba: 27 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 19200000/19200000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 56/56 Sieved special-q in [100000, 92800000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3548425 hash collisions in 18818778 relations (15951111 unique) Msieve: matrix is 2949042 x 2949268 (831.0 MB) Sieving start time: 2024/01/31 18:38:07 Sieving end time : 2024/02/02 16:57:36 Total sieving time: 46hrs 19min 29secs. Total relation processing time: 4hrs 41min 55sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 3min 41sec. Prototype def-par.txt line would be: snfs,206,5,0,0,0,0,0,0,0,0,19200000,19200000,27,27,56,56,2.6,2.6,100000 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 | |
---|---|---|---|---|---|
30 | 25e4 | 430 | Makoto Kamada | January 15, 2009 00:00:00 UTC 2009 年 1 月 15 日 (木) 9 時 0 分 0 秒 (日本時間) | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 1800 | 300 | Dmitry Domanov | May 25, 2011 07:34:25 UTC 2011 年 5 月 25 日 (水) 16 時 34 分 25 秒 (日本時間) |
1500 | Dmitry Domanov | September 27, 2013 13:05:42 UTC 2013 年 9 月 27 日 (金) 22 時 5 分 42 秒 (日本時間) | |||
45 | 11e6 | 5980 | 1500 | Dmitry Domanov | November 21, 2013 09:27:46 UTC 2013 年 11 月 21 日 (木) 18 時 27 分 46 秒 (日本時間) |
4480 | Ignacio Santos | January 16, 2024 07:08:39 UTC 2024 年 1 月 16 日 (火) 16 時 8 分 39 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 | August 18, 2013 07:00:00 UTC 2013 年 8 月 18 日 (日) 16 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 1500 | Dmitry Domanov | September 27, 2013 13:05:52 UTC 2013 年 9 月 27 日 (金) 22 時 5 分 52 秒 (日本時間) | |
45 | 11e6 | 1500 / 4143 | Dmitry Domanov | November 21, 2013 09:28:03 UTC 2013 年 11 月 21 日 (木) 18 時 28 分 3 秒 (日本時間) |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | August 20, 2013 05:06:19 UTC 2013 年 8 月 20 日 (火) 14 時 6 分 19 秒 (日本時間) |
composite number 合成数 | 824231820435478884492273244579853589660627142105374574252969732422978050812256061214040059807543728045436846247003650813457945935773535578948371456142413<153> |
prime factors 素因数 | 1294441875468964789417813512226337489<37> |
composite cofactor 合成数の残り | 636746876051786427144283030104171928027516035391147300207331763209683559301585344012110370419014741539352882502985917<117> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2997714890 Step 1 took 22295ms ********** Factor found in step 1: 1294441875468964789417813512226337489 Found probable prime factor of 37 digits: 1294441875468964789417813512226337489 |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | August 21, 2013 05:45:01 UTC 2013 年 8 月 21 日 (水) 14 時 45 分 1 秒 (日本時間) |
composite number 合成数 | 636746876051786427144283030104171928027516035391147300207331763209683559301585344012110370419014741539352882502985917<117> |
prime factors 素因数 | 657601321020271559425051517751695737836593<42> 968287099946622123128618656519951291049428981816003990357274984590192277069<75> |
factorization results 素因数分解の結果 | N=636746876051786427144283030104171928027516035391147300207331763209683559301585344012110370419014741539352882502985917 ( 117 digits) Divisors found: r1=657601321020271559425051517751695737836593 (pp42) r2=968287099946622123128618656519951291049428981816003990357274984590192277069 (pp75) Version: Msieve v. 1.50 (SVN unknown) Total time: 39.68 hours. Scaled time: 39.99 units (timescale=1.008). Factorization parameters were as follows: n: 636746876051786427144283030104171928027516035391147300207331763209683559301585344012110370419014741539352882502985917 skew: 58545.60 c0: 9864505677015630807002265600 c1: -144514193972911286841888 c2: -8119459350656968280 c3: -43029563446450 c4: 2113164963 c5: 32760 Y0: -28689598566917217867577 Y1: 586082622341 rlim: 4700000 alim: 4700000 lpbr: 27 lpba: 27 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 type: gnfs qintsize: 200000 Factor base limits: 4700000/4700000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 54/54 Sieved algebraic special-q in [2350000, 3550001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 677455 x 677680 Total sieving time: 38.58 hours. Total relation processing time: 0.25 hours. Matrix solve time: 0.71 hours. Time per square root: 0.13 hours. Prototype def-par.txt line would be: gnfs,116,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4700000,4700000,27,27,54,54,2.5,2.5,100000 total time: 39.68 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 | 0 | - | - | |
35 | 1e6 | 118 / 904 | Makoto Kamada | August 18, 2013 07:00:00 UTC 2013 年 8 月 18 日 (日) 16 時 0 分 0 秒 (日本時間) |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | August 20, 2013 05:05:35 UTC 2013 年 8 月 20 日 (火) 14 時 5 分 35 秒 (日本時間) |
composite number 合成数 | 49311846477370258933709951119399859375016523608244002065093875335851984581256790647308895453700775654558604925458100131498647582729078135240844502350514830542736603565691865312688223<182> |
prime factors 素因数 | 115058541907256990165942924868721068629<39> |
composite cofactor 合成数の残り | 428580491808405704464618881579928761317811383844608485678586183056829299372591001249101115280029307943319936675724289938082081930733851985007587<144> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3426218789 Step 1 took 30834ms Step 2 took 10825ms ********** Factor found in step 2: 115058541907256990165942924868721068629 Found probable prime factor of 39 digits: 115058541907256990165942924868721068629 |
name 名前 | Robert Balfour |
---|---|
date 日付 | March 26, 2020 12:09:12 UTC 2020 年 3 月 26 日 (木) 21 時 9 分 12 秒 (日本時間) |
composite number 合成数 | 428580491808405704464618881579928761317811383844608485678586183056829299372591001249101115280029307943319936675724289938082081930733851985007587<144> |
prime factors 素因数 | 338001906810214504898228920078144974633629160892413863<54> 1267982467474807427150671532182464770921865586774602857430315254897736510354321459088034149<91> |
factorization results 素因数分解の結果 | PID20832 2020-03-25 22:25:24,567 Debug:root: Root parameter dictionary: N = 428580491808405704464618881579928761317811383844608485678586183056829299372591001249101115280029307943319936675724289938082081930733851985007587 name = 45557_211 tasks.I = 14 tasks.lim0 = 13000000 tasks.lim1 = 20000000 tasks.lpb0 = 30 tasks.lpb1 = 31 tasks.qmin = 100000 tasks.threads = 6 tasks.wutimeout = 1800 tasks.filter.target_density = 135.0 tasks.filter.purge.keep = 175 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.bwc.interleaving = 0 tasks.linalg.bwc.threads = 6 tasks.linalg.characters.nchar = 50 tasks.polyselect.P = 300000 tasks.polyselect.admax = 20e4 tasks.polyselect.admin = 12600 tasks.polyselect.adrange = 840 tasks.polyselect.degree = 5 tasks.polyselect.incr = 60 tasks.polyselect.nq = 15625 tasks.polyselect.nrkeep = 100 tasks.polyselect.threads = 2 tasks.sieve.lambda0 = 1.81 tasks.sieve.lambda1 = 1.79 tasks.sieve.mfb0 = 56 tasks.sieve.mfb1 = 58 tasks.sieve.ncurves0 = 19 tasks.sieve.ncurves1 = 22 tasks.sieve.qrange = 5000 tasks.sieve.las.threads = 2 PID20832 2020-03-25 22:46:20,341 Info:Polynomial Selection (root optimized): Best polynomial is: n: 428580491808405704464618881579928761317811383844608485678586183056829299372591001249101115280029307943319936675724289938082081930733851985007587 skew: 490982.363 c0: 51778433805063627525836989045833 c1: 6066352676445891439711202023 c2: -7585948848316700221319 c3: -14401845203404553 c4: 30190631116 c5: 31500 Y0: -6540688515316609558614691790 Y1: 1012212653977794601709 # MurphyE (Bf=2.147e+09,Bg=1.074e+09,area=1.342e+13) = 2.838e-06 PID2144 2020-03-26 05:19:10,173 Info:Square Root: Factors: 1267982467474807427150671532182464770921865586774602857430315254897736510354321459088034149 338001906810214504898228920078144974633629160892413863 PID2144 2020-03-26 05:19:10,173 Debug:Square Root: Exit SqrtTask.run(sqrt) PID2144 2020-03-26 05:19:10,173 Info:Square Root: Total cpu/real time for sqrt: 2074.52/381.009 PID2144 2020-03-26 05:19:10,173 Info:Polynomial Selection (size optimized): Aggregate statistics: PID2144 2020-03-26 05:19:10,173 Info:Polynomial Selection (size optimized): potential collisions: 144726 PID2144 2020-03-26 05:19:10,173 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 146904/41.760/52.314/60.450/1.240 PID2144 2020-03-26 05:19:10,173 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 121913/40.790/46.193/52.740/0.956 PID2144 2020-03-26 05:19:10,173 Info:Polynomial Selection (size optimized): Total time: 63195.3 PID2144 2020-03-26 05:19:10,173 Info:Polynomial Selection (root optimized): Aggregate statistics: PID2144 2020-03-26 05:19:10,173 Info:Polynomial Selection (root optimized): Total time: 1955.24 PID2144 2020-03-26 05:19:10,173 Info:Polynomial Selection (root optimized): Rootsieve time: 1951.42 PID2144 2020-03-26 05:19:10,174 Info:Generate Factor Base: Total cpu/real time for makefb: 14.29/3.19332 PID2144 2020-03-26 05:19:10,174 Info:Generate Free Relations: Total cpu/real time for freerel: 1339.37/226.052 PID2144 2020-03-26 05:19:10,174 Info:Lattice Sieving: Aggregate statistics: PID2144 2020-03-26 05:19:10,174 Info:Lattice Sieving: Total number of relations: 88495068 PID2144 2020-03-26 05:19:10,174 Info:Lattice Sieving: Average J: 7972.19 for 493155 special-q, max bucket fill -bkmult 1.0,1s:1.081560 PID2144 2020-03-26 05:19:10,174 Info:Lattice Sieving: Total time: 470587s PID2144 2020-03-26 05:19:10,174 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 266.07/206.679 PID2144 2020-03-26 05:19:10,174 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: PID2144 2020-03-26 05:19:10,174 Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 204.5s PID2144 2020-03-26 05:19:10,174 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1304.19/647.556 PID2144 2020-03-26 05:19:10,174 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: PID2144 2020-03-26 05:19:10,174 Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 440s PID2144 2020-03-26 05:19:10,174 Info:Filtering - Singleton removal: Total cpu/real time for purge: 676.46/415.372 PID2144 2020-03-26 05:19:10,174 Info:Filtering - Merging: Total cpu/real time for merge: 176.67/40.2557 PID2144 2020-03-26 05:19:10,174 Info:Filtering - Merging: Total cpu/real time for replay: 65.33/64.4161 PID2144 2020-03-26 05:19:10,174 Info:Linear Algebra: Total cpu/real time for bwc: 55467.2/9699.16 PID2144 2020-03-26 05:19:10,174 Info:Linear Algebra: Aggregate statistics: PID2144 2020-03-26 05:19:10,174 Info:Linear Algebra: Krylov: WCT time 6129.46, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (79872 iterations) PID2144 2020-03-26 05:19:10,174 Info:Linear Algebra: Lingen CPU time 319.0, WCT time 59.78 PID2144 2020-03-26 05:19:10,175 Info:Linear Algebra: Mksol: WCT time 3486.2, iteration CPU time 0.08, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (39424 iterations) PID2144 2020-03-26 05:19:10,175 Info:Quadratic Characters: Total cpu/real time for characters: 85.33/26.9844 PID2144 2020-03-26 05:19:10,175 Info:Square Root: Total cpu/real time for sqrt: 2074.52/381.009 PID2144 2020-03-26 05:19:10,175 Info:HTTP server: Shutting down HTTP server PID2144 2020-03-26 05:19:10,625 Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.09065e+06/24782.6 |
software ソフトウェア | CADO-NFS |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 418 | 118 | Makoto Kamada | August 18, 2013 07:00:00 UTC 2013 年 8 月 18 日 (日) 16 時 0 分 0 秒 (日本時間) |
300 | Ignacio Santos | August 29, 2013 10:19:46 UTC 2013 年 8 月 29 日 (木) 19 時 19 分 46 秒 (日本時間) | |||
40 | 3e6 | 1610 | 110 | Ignacio Santos | August 29, 2013 10:19:46 UTC 2013 年 8 月 29 日 (木) 19 時 19 分 46 秒 (日本時間) |
1500 | Dmitry Domanov | September 27, 2013 13:06:04 UTC 2013 年 9 月 27 日 (金) 22 時 6 分 4 秒 (日本時間) | |||
45 | 11e6 | 4312 | 32 | Ignacio Santos | August 29, 2013 10:19:46 UTC 2013 年 8 月 29 日 (木) 19 時 19 分 46 秒 (日本時間) |
230 | Ignacio Santos | October 6, 2013 16:57:03 UTC 2013 年 10 月 7 日 (月) 1 時 57 分 3 秒 (日本時間) | |||
1000 | Dmitry Domanov | November 5, 2013 13:14:40 UTC 2013 年 11 月 5 日 (火) 22 時 14 分 40 秒 (日本時間) | |||
850 | Serge Batalov | November 8, 2013 17:09:54 UTC 2013 年 11 月 9 日 (土) 2 時 9 分 54 秒 (日本時間) | |||
400 | Serge Batalov | January 6, 2014 02:24:07 UTC 2014 年 1 月 6 日 (月) 11 時 24 分 7 秒 (日本時間) | |||
1800 | Serge Batalov | May 24, 2014 17:35:50 UTC 2014 年 5 月 25 日 (日) 2 時 35 分 50 秒 (日本時間) |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | August 20, 2013 05:07:25 UTC 2013 年 8 月 20 日 (火) 14 時 7 分 25 秒 (日本時間) |
composite number 合成数 | 45555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557<215> |
prime factors 素因数 | 42485515767160981359452698853909<32> 1072260857211189838797792039151259305668855144145768084626074232042703470567560354437202706616063986112844305813206342324417503857649623187505404342867712020569638418778520337943977873<184> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3499173548 Step 1 took 42661ms Step 2 took 14027ms ********** Factor found in step 2: 42485515767160981359452698853909 Found probable prime factor of 32 digits: 42485515767160981359452698853909 |
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 | August 18, 2013 07:00:00 UTC 2013 年 8 月 18 日 (日) 16 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 | August 18, 2013 07:00:00 UTC 2013 年 8 月 18 日 (日) 16 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 1500 | Dmitry Domanov | September 27, 2013 13:06:14 UTC 2013 年 9 月 27 日 (金) 22 時 6 分 14 秒 (日本時間) | |
45 | 11e6 | 1500 / 4143 | Dmitry Domanov | November 8, 2013 13:06:12 UTC 2013 年 11 月 8 日 (金) 22 時 6 分 12 秒 (日本時間) |
name 名前 | Bob Backstrom |
---|---|
date 日付 | December 7, 2017 08:56:20 UTC 2017 年 12 月 7 日 (木) 17 時 56 分 20 秒 (日本時間) |
composite number 合成数 | 42651140819191099268657767558148328808671455453536107259505040792695378374394418817350442474377847288734595786296146843924807911224875227208348638331121195505235531562728437169616201108659190649871271575105590181<212> |
prime factors 素因数 | 9745559019823284917396189408777006651321701026801445804890583324878789975150825567739<85> 4376469398259771394815717025160144494368476502249952379353302768300176242942337371468813538049676281245288983833386532213869279<127> |
factorization results 素因数分解の結果 | Number: n N=42651140819191099268657767558148328808671455453536107259505040792695378374394418817350442474377847288734595786296146843924807911224875227208348638331121195505235531562728437169616201108659190649871271575105590181 ( 212 digits) SNFS difficulty: 218 digits. Divisors found: Thu Dec 7 19:47:26 2017 p85 factor: 9745559019823284917396189408777006651321701026801445804890583324878789975150825567739 Thu Dec 7 19:47:26 2017 p127 factor: 4376469398259771394815717025160144494368476502249952379353302768300176242942337371468813538049676281245288983833386532213869279 Thu Dec 7 19:47:26 2017 elapsed time 12:49:17 (Msieve 1.53 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.045). Factorization parameters were as follows: # # 41x10^217+13 45(216)7 # n: 42651140819191099268657767558148328808671455453536107259505040792695378374394418817350442474377847288734595786296146843924807911224875227208348638331121195505235531562728437169616201108659190649871271575105590181 m: 1000000000000000000000000000000000000 deg: 6 c6: 410 c0: 13 skew: 0.56 # Murphy_E = 1.945e-12 type: snfs lss: 1 rlim: 31000000 alim: 31000000 lpbr: 29 lpba: 29 mfbr: 58 mfba: 58 rlambda: 2.6 alambda: 2.6 Factor base limits: 31000000/31000000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 58/58 Sieved special-q in [100000, 52300000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 14881547 hash collisions in 72972343 relations (58573231 unique) Msieve: matrix is 4757074 x 4757299 (1351.3 MB) Sieving start time: 2017/12/04 07:03:08 Sieving end time : 2017/12/07 06:56:00 Total sieving time: 71hrs 52min 52secs. Total relation processing time: 12hrs 17min 54sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 9min 48sec. Prototype def-par.txt line would be: snfs,218,6,0,0,0,0,0,0,0,0,31000000,31000000,29,29,58,58,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.068000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1) [ 0.000000] Memory: 16297376K/16703460K available (9294K kernel code, 2479K rwdata, 3996K rodata, 2324K init, 2384K bss, 406084K reserved, 0K cma-reserved) [ 0.100632] x86/mm: Memory block size: 128MB [ 0.008000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.77 BogoMIPS (lpj=11977548) [ 0.098232] smpboot: Total of 16 processors activated (95820.38 BogoMIPS) |
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 | August 18, 2013 07:00:00 UTC 2013 年 8 月 18 日 (日) 16 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 1500 | Dmitry Domanov | September 27, 2013 13:06:28 UTC 2013 年 9 月 27 日 (金) 22 時 6 分 28 秒 (日本時間) | |
45 | 11e6 | 1500 / 4143 | Dmitry Domanov | September 27, 2013 13:06:28 UTC 2013 年 9 月 27 日 (金) 22 時 6 分 28 秒 (日本時間) |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | August 20, 2013 05:05:05 UTC 2013 年 8 月 20 日 (火) 14 時 5 分 5 秒 (日本時間) |
composite number 合成数 | 440022752395977548107365551584618521738197194586646919304120115479141848310205308176910610987690095195166189080996383227620550135763117507539414233126200671839617072882792963928866565783401483198643442051149961900469<216> |
prime factors 素因数 | 99800995574287314877159596424151<32> 4409001632337872376753710635941283754131509072820401376428883598042121905897731141608361580223749967116415082663331730525092391532436724548029375501377170248342913869242729093871201619<184> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4186052332 Step 1 took 42593ms Step 2 took 14040ms ********** Factor found in step 2: 99800995574287314877159596424151 Found probable prime factor of 32 digits: 99800995574287314877159596424151 |
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 | August 18, 2013 07:00:00 UTC 2013 年 8 月 18 日 (日) 16 時 0 分 0 秒 (日本時間) |
name 名前 | Erik Branger |
---|---|
date 日付 | January 25, 2019 08:30:11 UTC 2019 年 1 月 25 日 (金) 17 時 30 分 11 秒 (日本時間) |
composite number 合成数 | 13031841097991246133155644365815347736635596097497352617665041823606536201822007624680732726836462160087013940244821587288257977430748633428513509449850552870373135493458261179497387688552707643002459058924613<209> |
prime factors 素因数 | 3723441444063027872924542152106863278421101636449284540430117067183673061<73> 3499945223731213330275069903912656734959773273696732096162033152609407409634280829094283609892519441232179934782174714624865293905457633<136> |
factorization results 素因数分解の結果 | Number: 45557_220 N = 13031841097991246133155644365815347736635596097497352617665041823606536201822007624680732726836462160087013940244821587288257977430748633428513509449850552870373135493458261179497387688552707643002459058924613 (209 digits) SNFS difficulty: 222 digits. Divisors found: r1=3723441444063027872924542152106863278421101636449284540430117067183673061 (pp73) r2=3499945223731213330275069903912656734959773273696732096162033152609407409634280829094283609892519441232179934782174714624865293905457633 (pp136) Version: Msieve v. 1.52 (SVN unknown) Total time: 58.96 hours. Factorization parameters were as follows: n: 13031841097991246133155644365815347736635596097497352617665041823606536201822007624680732726836462160087013940244821587288257977430748633428513509449850552870373135493458261179497387688552707643002459058924613 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 41 c0: 13 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 Number of cores used: 6 Number of threads per core: 1 Factor base limits: 536870912/536870912 Large primes per side: 3 Large prime bits: 29/28 Total raw relations: 31427209 Relations: 9140630 relations Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G rational relations. Total batch smoothness checking time: 26.61 hours. Total relation processing time: 0.42 hours. Pruned matrix : 7846744 x 7846969 Matrix solve time: 31.62 hours. time per square root: 0.32 hours. Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000 total time: 58.96 hours. Intel64 Family 6 Model 158 Stepping 10, GenuineIntel Windows-10-10.0.17134-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 | August 18, 2013 07:00:00 UTC 2013 年 8 月 18 日 (日) 16 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 1500 | Dmitry Domanov | September 27, 2013 13:06:44 UTC 2013 年 9 月 27 日 (金) 22 時 6 分 44 秒 (日本時間) | |
45 | 11e6 | 1500 / 4143 | Dmitry Domanov | September 27, 2013 13:06:44 UTC 2013 年 9 月 27 日 (金) 22 時 6 分 44 秒 (日本時間) |
name 名前 | Erik Branger |
---|---|
date 日付 | September 16, 2021 14:28:03 UTC 2021 年 9 月 16 日 (木) 23 時 28 分 3 秒 (日本時間) |
composite number 合成数 | 1341100880558422520207923677146964597940048680336495041343425566350749000706590855004425223359267749764615324185715201637525787058302568184846975323153425253782281568684366672237135573971418833591<196> |
prime factors 素因数 | 213592309304303249318391036671056268805365198656258001789572644215271467835335081489718137617<93> 6278788243483836564235462400400648340984631814219834753033688571710440777888547908599696241545695185223<103> |
factorization results 素因数分解の結果 | Number: 45557_221 N = 1341100880558422520207923677146964597940048680336495041343425566350749000706590855004425223359267749764615324185715201637525787058302568184846975323153425253782281568684366672237135573971418833591 (196 digits) SNFS difficulty: 223 digits. Divisors found: r1=213592309304303249318391036671056268805365198656258001789572644215271467835335081489718137617 (pp93) r2=6278788243483836564235462400400648340984631814219834753033688571710440777888547908599696241545695185223 (pp103) Version: Msieve v. 1.52 (SVN unknown) Total time: 43.50 hours. Factorization parameters were as follows: n: 1341100880558422520207923677146964597940048680336495041343425566350749000706590855004425223359267749764615324185715201637525787058302568184846975323153425253782281568684366672237135573971418833591 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 410 c0: 13 skew: 1.00 type: snfs lss: 1 rlim: 536870912 alim: 44739242 lpbr: 29 lpba: 28 mfbr: 58 mfba: 56 rlambda: 2.8 alambda: 2.8 side: 1 Factor base limits: 536870912/44739242 Large primes per side: 3 Large prime bits: 29/28 Relations: 9393224 relations Pruned matrix : 8001549 x 8001774 Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G relations. Total batch smoothness checking time: 37.17 hours. Total relation processing time: 0.30 hours. Matrix solve time: 5.81 hours. time per square root: 0.22 hours. Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000 total time: 43.50 hours. Intel64 Family 6 Model 60 Stepping 3, GenuineIntel Windows-10-10.0.19041-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 | August 18, 2013 07:00:00 UTC 2013 年 8 月 18 日 (日) 16 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 1500 | Dmitry Domanov | September 27, 2013 13:06:58 UTC 2013 年 9 月 27 日 (金) 22 時 6 分 58 秒 (日本時間) | |
45 | 11e6 | 1500 / 4143 | Dmitry Domanov | October 25, 2013 13:52:29 UTC 2013 年 10 月 25 日 (金) 22 時 52 分 29 秒 (日本時間) |
name 名前 | Erik Branger |
---|---|
date 日付 | July 31, 2021 14:04:11 UTC 2021 年 7 月 31 日 (土) 23 時 4 分 11 秒 (日本時間) |
composite number 合成数 | 314324563367921641761047393250794350020231639149761940377977701029405059139467111747274242892670408875079874925030187214324792776782290990417980761296258589169572454400600337514392386689928641775345347<201> |
prime factors 素因数 | 448033385228649771687026724341779691218305012313105983590630622405896539<72> 701565047898180520042117953456375658082030076469729482756780208214127036898882938576309892615783948292752944214439435968953382073<129> |
factorization results 素因数分解の結果 | Number: 45557_222 N = 314324563367921641761047393250794350020231639149761940377977701029405059139467111747274242892670408875079874925030187214324792776782290990417980761296258589169572454400600337514392386689928641775345347 (201 digits) SNFS difficulty: 224 digits. Divisors found: r1=448033385228649771687026724341779691218305012313105983590630622405896539 (pp72) r2=701565047898180520042117953456375658082030076469729482756780208214127036898882938576309892615783948292752944214439435968953382073 (pp129) Version: Msieve v. 1.52 (SVN unknown) Total time: 76.58 hours. Factorization parameters were as follows: n: 314324563367921641761047393250794350020231639149761940377977701029405059139467111747274242892670408875079874925030187214324792776782290990417980761296258589169572454400600337514392386689928641775345347 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 4100 c0: 13 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: 36335102 Relations: 12728218 relations Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G rational relations. Total batch smoothness checking time: 31.04 hours. Total relation processing time: 0.34 hours. Pruned matrix : 10750538 x 10750763 Matrix solve time: 44.28 hours. time per square root: 0.92 hours. Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000 total time: 76.58 hours. Intel64 Family 6 Model 158 Stepping 10, GenuineIntel Windows-10-10.0.19041-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 | August 18, 2013 07:00:00 UTC 2013 年 8 月 18 日 (日) 16 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 1500 | Dmitry Domanov | September 27, 2013 13:07:12 UTC 2013 年 9 月 27 日 (金) 22 時 7 分 12 秒 (日本時間) | |
45 | 11e6 | 1500 / 4143 | Dmitry Domanov | September 27, 2013 13:07:12 UTC 2013 年 9 月 27 日 (金) 22 時 7 分 12 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 118 | Makoto Kamada | August 18, 2013 07:00:00 UTC 2013 年 8 月 18 日 (日) 16 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 1500 | Dmitry Domanov | September 27, 2013 13:07:29 UTC 2013 年 9 月 27 日 (金) 22 時 7 分 29 秒 (日本時間) | |
45 | 11e6 | 1500 / 4143 | Dmitry Domanov | September 27, 2013 13:07:29 UTC 2013 年 9 月 27 日 (金) 22 時 7 分 29 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 118 | Makoto Kamada | August 18, 2013 07:00:00 UTC 2013 年 8 月 18 日 (日) 16 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 1500 | Dmitry Domanov | September 27, 2013 13:07:42 UTC 2013 年 9 月 27 日 (金) 22 時 7 分 42 秒 (日本時間) | |
45 | 11e6 | 1500 / 4143 | Dmitry Domanov | November 19, 2013 11:54:43 UTC 2013 年 11 月 19 日 (火) 20 時 54 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 | 118 | Makoto Kamada | August 18, 2013 07:00:00 UTC 2013 年 8 月 18 日 (日) 16 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 1500 | Dmitry Domanov | September 27, 2013 13:07:52 UTC 2013 年 9 月 27 日 (金) 22 時 7 分 52 秒 (日本時間) | |
45 | 11e6 | 1500 / 4143 | Dmitry Domanov | October 2, 2013 13:39:34 UTC 2013 年 10 月 2 日 (水) 22 時 39 分 34 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 | August 18, 2013 07:00:00 UTC 2013 年 8 月 18 日 (日) 16 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 1500 | Dmitry Domanov | September 27, 2013 13:08:05 UTC 2013 年 9 月 27 日 (金) 22 時 8 分 5 秒 (日本時間) | |
45 | 11e6 | 1500 / 4143 | Dmitry Domanov | September 27, 2013 13:08:05 UTC 2013 年 9 月 27 日 (金) 22 時 8 分 5 秒 (日本時間) |
name 名前 | ebina |
---|---|
date 日付 | June 2, 2023 03:48:11 UTC 2023 年 6 月 2 日 (金) 12 時 48 分 11 秒 (日本時間) |
composite number 合成数 | 1171091022273565513168735051354280551117360154242599517825710983977902289650808262648118844469220460841488274078103063940246835333929318294579507168335673<154> |
prime factors 素因数 | 2476604113575622404476662205408484678332521646974854485974255415683<67> 472861615570358932465120213977068550994755086716088346983228988667175529884203092976531<87> |
factorization results 素因数分解の結果 | Number: 45557_227 N = 1171091022273565513168735051354280551117360154242599517825710983977902289650808262648118844469220460841488274078103063940246835333929318294579507168335673 (154 digits) Divisors found: r1=2476604113575622404476662205408484678332521646974854485974255415683 (pp67) r2=472861615570358932465120213977068550994755086716088346983228988667175529884203092976531 (pp87) Version: Msieve v. 1.53 (SVN unknown) Total time: 96.40 hours. Factorization parameters were as follows: n: 1171091022273565513168735051354280551117360154242599517825710983977902289650808262648118844469220460841488274078103063940246835333929318294579507168335673 # norm 7.904194e-15 alpha -8.674489 e 3.376e-12 rroots 5 skew: 127846859.46 c0: -446115795796934109606817002516406531800755 c1: 77418401851840083638444633199680076 c2: 457860350444651915363207059 c3: -11113463173890258144 c4: -27393013196 c5: 240 Y0: -1373016905500084785459570965922 Y1: 361245938337193 type: gnfs Factor base limits: 25700000/25700000 Large primes per side: 3 Large prime bits: 29/29 Sieved algebraic special-q in [0, 0) Total raw relations: 57100413 Relations: 5946718 relations Pruned matrix : 4129582 x 4129808 Total sieving time: 92.63 hours. Total relation processing time: 0.32 hours. Matrix solve time: 3.32 hours. time per square root: 0.13 hours. Prototype def-par.txt line would be: gnfs,153,5,65,2000,1e-05,0.28,250,20,50000,3600,25700000,25700000,29,29,58,58,2.6,2.6,100000 total time: 96.40 hours. Intel64 Family 6 Model 158 Stepping 12, GenuineIntel processors: 16, speed: 3.60GHz Windows-post2008Server-6.2.9200 Running Python 3.2 |
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 | August 18, 2013 07:00:00 UTC 2013 年 8 月 18 日 (日) 16 時 0 分 0 秒 (日本時間) |
300 | Ignacio Santos | August 29, 2013 11:48:30 UTC 2013 年 8 月 29 日 (木) 20 時 48 分 30 秒 (日本時間) | |||
40 | 3e6 | 1610 | 110 | Ignacio Santos | August 29, 2013 11:48:30 UTC 2013 年 8 月 29 日 (木) 20 時 48 分 30 秒 (日本時間) |
1500 | Dmitry Domanov | September 27, 2013 13:08:19 UTC 2013 年 9 月 27 日 (金) 22 時 8 分 19 秒 (日本時間) | |||
45 | 11e6 | 4108 | 32 | Ignacio Santos | August 29, 2013 11:48:30 UTC 2013 年 8 月 29 日 (木) 20 時 48 分 30 秒 (日本時間) |
230 | Ignacio Santos | October 7, 2013 21:14:49 UTC 2013 年 10 月 8 日 (火) 6 時 14 分 49 秒 (日本時間) | |||
850 | Serge Batalov | November 8, 2013 17:11:42 UTC 2013 年 11 月 9 日 (土) 2 時 11 分 42 秒 (日本時間) | |||
400 | Serge Batalov | January 6, 2014 02:25:36 UTC 2014 年 1 月 6 日 (月) 11 時 25 分 36 秒 (日本時間) | |||
900 | Serge Batalov | May 24, 2014 19:02:35 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 35 秒 (日本時間) | |||
400 | Serge Batalov | June 23, 2015 21:29:36 UTC 2015 年 6 月 24 日 (水) 6 時 29 分 36 秒 (日本時間) | |||
1296 | Ignacio Santos | January 12, 2016 23:25:12 UTC 2016 年 1 月 13 日 (水) 8 時 25 分 12 秒 (日本時間) | |||
50 | 43e6 | 6800 | yoyo@Home | March 20, 2021 09:41:48 UTC 2021 年 3 月 20 日 (土) 18 時 41 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 | |
---|---|---|---|---|---|
35 | 1e6 | 118 | Makoto Kamada | August 18, 2013 07:00:00 UTC 2013 年 8 月 18 日 (日) 16 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 1500 | Dmitry Domanov | September 27, 2013 13:08:34 UTC 2013 年 9 月 27 日 (金) 22 時 8 分 34 秒 (日本時間) | |
45 | 11e6 | 1500 / 4143 | Dmitry Domanov | September 27, 2013 13:08:34 UTC 2013 年 9 月 27 日 (金) 22 時 8 分 34 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 | August 18, 2013 07:00:00 UTC 2013 年 8 月 18 日 (日) 16 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 1500 | Dmitry Domanov | September 27, 2013 13:08:51 UTC 2013 年 9 月 27 日 (金) 22 時 8 分 51 秒 (日本時間) | |
45 | 11e6 | 1500 / 4143 | Dmitry Domanov | September 27, 2013 13:08:51 UTC 2013 年 9 月 27 日 (金) 22 時 8 分 51 秒 (日本時間) |
name 名前 | Erik Branger |
---|---|
date 日付 | June 11, 2014 11:38:27 UTC 2014 年 6 月 11 日 (水) 20 時 38 分 27 秒 (日本時間) |
composite number 合成数 | 354378299432958129230875995555715261518501853117341220526349631871490497717287554454068982247019483048313262545784335663879887083688403<135> |
prime factors 素因数 | 36086247563924264924902807064240518648581421834070558113<56> 9820314478672290457753184319650157233201049939602804719485306231264670758681331<79> |
factorization results 素因数分解の結果 | Number: 45557_230 N = 354378299432958129230875995555715261518501853117341220526349631871490497717287554454068982247019483048313262545784335663879887083688403 (135 digits) Divisors found: r1=36086247563924264924902807064240518648581421834070558113 (pp56) r2=9820314478672290457753184319650157233201049939602804719485306231264670758681331 (pp79) Version: Msieve v. 1.51 (SVN 845) Total time: 176.10 hours. Factorization parameters were as follows: # Murphy_E = 4.18e-11, selected by Erik Branger # expecting poly E from 4.40e-011 to > 5.06e-011 n: 354378299432958129230875995555715261518501853117341220526349631871490497717287554454068982247019483048313262545784335663879887083688403 Y0: -147707956889300641896377437 Y1: 485461253305039 c0: -875398034587530041475722840614608 c1: 8531726049443826387353389266 c2: -49661862151136327419953 c3: 32289177938950124 c4: 60481185116 c5: 5040 skew: 1041172.37 type: gnfs # selected mechanically rlim: 13000000 alim: 13000000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.6 alambda: 2.6 Factor base limits: 13000000/13000000 Large primes per side: 3 Large prime bits: 28/28 Sieved algebraic special-q in [0, 0) Total raw relations: 20582601 Relations: 3317954 relations Pruned matrix : 1970907 x 1971133 Polynomial selection time: 0.00 hours. Total sieving time: 171.36 hours. Total relation processing time: 0.17 hours. Matrix solve time: 3.67 hours. time per square root: 0.90 hours. Prototype def-par.txt line would be: gnfs,134,5,65,2000,1e-05,0.28,250,20,50000,3600,13000000,13000000,28,28,54,54,2.6,2.6,100000 total time: 176.10 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 | 918 | 118 | Makoto Kamada | August 18, 2013 07:00:00 UTC 2013 年 8 月 18 日 (日) 16 時 0 分 0 秒 (日本時間) |
800 | JPascoa | August 21, 2013 12:42:12 UTC 2013 年 8 月 21 日 (水) 21 時 42 分 12 秒 (日本時間) | |||
40 | 3e6 | 1500 | Dmitry Domanov | September 27, 2013 13:09:05 UTC 2013 年 9 月 27 日 (金) 22 時 9 分 5 秒 (日本時間) | |
45 | 11e6 | 3330 | 230 | Ignacio Santos | October 2, 2013 21:25:19 UTC 2013 年 10 月 3 日 (木) 6 時 25 分 19 秒 (日本時間) |
1000 | Dmitry Domanov | November 5, 2013 13:15:00 UTC 2013 年 11 月 5 日 (火) 22 時 15 分 0 秒 (日本時間) | |||
850 | Serge Batalov | November 8, 2013 01:45:26 UTC 2013 年 11 月 8 日 (金) 10 時 45 分 26 秒 (日本時間) | |||
850 | Serge Batalov | November 8, 2013 17:08:34 UTC 2013 年 11 月 9 日 (土) 2 時 8 分 34 秒 (日本時間) | |||
400 | Serge Batalov | January 6, 2014 02:22:51 UTC 2014 年 1 月 6 日 (月) 11 時 22 分 51 秒 (日本時間) | |||
50 | 43e6 | 250 / 6744 | Ignacio Santos | May 6, 2014 11:24:36 UTC 2014 年 5 月 6 日 (火) 20 時 24 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 | August 18, 2013 07:00:00 UTC 2013 年 8 月 18 日 (日) 16 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 1500 | Dmitry Domanov | September 27, 2013 13:09:16 UTC 2013 年 9 月 27 日 (金) 22 時 9 分 16 秒 (日本時間) | |
45 | 11e6 | 1500 / 4143 | Dmitry Domanov | November 21, 2013 09:28:23 UTC 2013 年 11 月 21 日 (木) 18 時 28 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 | August 18, 2013 07:00:00 UTC 2013 年 8 月 18 日 (日) 16 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 1500 | Dmitry Domanov | September 27, 2013 13:09:30 UTC 2013 年 9 月 27 日 (金) 22 時 9 分 30 秒 (日本時間) | |
45 | 11e6 | 1500 / 4143 | Dmitry Domanov | September 27, 2013 13:09:30 UTC 2013 年 9 月 27 日 (金) 22 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 | 418 | 118 | Makoto Kamada | August 18, 2013 07:00:00 UTC 2013 年 8 月 18 日 (日) 16 時 0 分 0 秒 (日本時間) |
300 | Ignacio Santos | September 12, 2013 20:19:23 UTC 2013 年 9 月 13 日 (金) 5 時 19 分 23 秒 (日本時間) | |||
40 | 3e6 | 1610 | 110 | Ignacio Santos | September 12, 2013 20:19:23 UTC 2013 年 9 月 13 日 (金) 5 時 19 分 23 秒 (日本時間) |
1500 | Dmitry Domanov | September 27, 2013 13:09:54 UTC 2013 年 9 月 27 日 (金) 22 時 9 分 54 秒 (日本時間) | |||
45 | 11e6 | 4105 | 32 | Ignacio Santos | September 12, 2013 20:19:23 UTC 2013 年 9 月 13 日 (金) 5 時 19 分 23 秒 (日本時間) |
850 | Serge Batalov | November 8, 2013 17:16:54 UTC 2013 年 11 月 9 日 (土) 2 時 16 分 54 秒 (日本時間) | |||
400 | Serge Batalov | January 6, 2014 02:29:32 UTC 2014 年 1 月 6 日 (月) 11 時 29 分 32 秒 (日本時間) | |||
800 | Serge Batalov | February 23, 2014 19:24:59 UTC 2014 年 2 月 24 日 (月) 4 時 24 分 59 秒 (日本時間) | |||
900 | Serge Batalov | May 24, 2014 19:04:14 UTC 2014 年 5 月 25 日 (日) 4 時 4 分 14 秒 (日本時間) | |||
1123 | KTakahashi | October 15, 2014 10:26:01 UTC 2014 年 10 月 15 日 (水) 19 時 26 分 1 秒 (日本時間) |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | October 28, 2013 05:07:10 UTC 2013 年 10 月 28 日 (月) 14 時 7 分 10 秒 (日本時間) |
composite number 合成数 | 6251491109830440123972425258165172709881448892289519318002800124768009989137254623959466126880971373506001847968464857286720940883842139712265660550163360444414752932021207833035815175337546060786669847<202> |
prime factors 素因数 | 4466197587811372526207385909151645050311<40> |
composite cofactor 合成数の残り | 1399734558742157584490679241440195781789313316064512623346011391913793648647200221078896249138418663512034399240765276428845032515486653788961063426317633684156977<163> |
factorization results 素因数分解の結果 | Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=753809090 Step 1 took 103118ms Step 2 took 36035ms ********** Factor found in step 2: 4466197587811372526207385909151645050311 Found probable prime factor of 40 digits: 4466197587811372526207385909151645050311 |
name 名前 | yoyo@Home |
---|---|
date 日付 | March 11, 2021 11:59:44 UTC 2021 年 3 月 11 日 (木) 20 時 59 分 44 秒 (日本時間) |
composite number 合成数 | 1399734558742157584490679241440195781789313316064512623346011391913793648647200221078896249138418663512034399240765276428845032515486653788961063426317633684156977<163> |
prime factors 素因数 | 64419494565355107737216332827508790845443585149<47> |
composite cofactor 合成数の残り | 21728431248744021412156776597256341471048537453413000229137948948103715680988290080976849301824994208339621925643973<116> |
factorization results 素因数分解の結果 | GMP-ECM 7.0.5-dev [configured with GMP 6.0.0, --enable-asm-redc, --enable-assert] [ECM] Tuned for x86_64/core2/params.h Running on ef-p-cpu-1304.ssn.nks.net Input number is 1399734558742157584490679241440195781789313316064512623346011391913793648647200221078896249138418663512034399240765276428845032515486653788961063426317633684156977 (163 digits) [Thu Mar 11 01:04:07 2021] Using MODMULN [mulredc:1, sqrredc:1] Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=0:8555521784078522966 dF=131072, k=4, d=1345890, d2=11, i0=71 Expected number of curves to find a factor of n digits: 35 40 45 50 55 60 65 70 75 80 34 135 614 3135 17884 111314 752662 5482978 4.3e+07 3.6e+08 Writing checkpoint to checkpnt at p = 101519267 Writing checkpoint to checkpnt at p = 110000000 Step 1 took 650416ms Using 20 small primes for NTT Estimated memory usage: 471.18MB Initializing tables of differences for F took 584ms Computing roots of F took 20720ms Building F from its roots took 10064ms Computing 1/F took 4528ms Initializing table of differences for G took 492ms Computing roots of G took 17888ms Building G from its roots took 11444ms Computing roots of G took 17880ms Building G from its roots took 11380ms Computing G * H took 2248ms Reducing G * H mod F took 2560ms Computing roots of G took 17932ms Building G from its roots took 11436ms Computing G * H took 2264ms Reducing G * H mod F took 2528ms Computing roots of G took 17908ms Building G from its roots took 11364ms Computing G * H took 2244ms Reducing G * H mod F took 2532ms Computing polyeval(F,G) took 21012ms Computing product of all F(g_i) took 88ms Step 2 took 189988ms ********** Factor found in step 2: 64419494565355107737216332827508790845443585149 Found prime factor of 47 digits: 64419494565355107737216332827508790845443585149 Composite cofactor 21728431248744021412156776597256341471048537453413000229137948948103715680988290080976849301824994208339621925643973 has 116 digits Peak memory usage: 616MB |
software ソフトウェア | GMP-ECM 7.0.5-dev |
name 名前 | Eric Jeancolas |
---|---|
date 日付 | March 12, 2021 08:34:50 UTC 2021 年 3 月 12 日 (金) 17 時 34 分 50 秒 (日本時間) |
composite number 合成数 | 21728431248744021412156776597256341471048537453413000229137948948103715680988290080976849301824994208339621925643973<116> |
prime factors 素因数 | 33143695394626011512053646985597998648532020647495529<53> 655582637664088445607097061441182323052840403145179812706448637<63> |
factorization results 素因数分解の結果 | 21728431248744021412156776597256341471048537453413000229137948948103715680988290080976849301824994208339621925643973=33143695394626011512053646985597998648532020647495529*655582637664088445607097061441182323052840403145179812706448637 cado polynomial n: 21728431248744021412156776597256341471048537453413000229137948948103715680988290080976849301824994208339621925643973 skew: 14538.785 c0: -80796946002193535608602402 c1: 16248016264353990800485 c2: 476965284638063136 c3: -248081582852503 c4: -2798845152 c5: 196560 Y0: -16873377927893630248377 Y1: 30772560714634801 # MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.033e-06 # f(x) = 196560*x^5-2798845152*x^4-248081582852503*x^3+476965284638063136*x^2+16248016264353990800485*x-80796946002193535608602402 # g(x) = 30772560714634801*x-16873377927893630248377 cado parameters (extracts) tasks.lim0 = 2500000 tasks.lim1 = 4500000 tasks.lpb0 = 26 tasks.lpb1 = 26 tasks.sieve.mfb0 = 52 tasks.sieve.mfb1 = 52 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 cado log (extracts) Info:Square Root: Factors: 33143695394626011512053646985597998648532020647495529 655582637664088445607097061441182323052840403145179812706448637 Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 21492.9 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21688/32.950/41.155/47.200/1.070 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 17115/32.320/36.427/41.600/0.845 Info:Polynomial Selection (size optimized): Total time: 4885.1 Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 1018.98 Info:Polynomial Selection (root optimized): Rootsieve time: 1002.42 Info:Generate Factor Base: Total cpu/real time for makefb: 11.4/14.4993 Info:Generate Free Relations: Total cpu/real time for freerel: 147.53/183.561 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 7262409 Info:Lattice Sieving: Average J: 1895.68 for 160738 special-q, max bucket fill -bkmult 1.0,1s:1.256060 Info:Lattice Sieving: Total time: 207835s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 30.82/201.855 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 197.89999999999998s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 238.58/559.45 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 491.69999999999993s Info:Filtering - Singleton removal: Total cpu/real time for purge: 184.83/401.336 Info:Filtering - Merging: Merged matrix has 463880 rows and total weight 71919071 (155.0 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 145.89/186.322 Info:Filtering - Merging: Total cpu/real time for replay: 36.64/64.4885 Info:Linear Algebra: Total cpu/real time for bwc: 10190.7/13402 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: WCT time 5688.25, iteration CPU time 0.3, COMM 0.04, cpu-wait 0.05, comm-wait 0.0 (14592 iterations) Info:Linear Algebra: Lingen CPU time 3828.02, WCT time 4488.87 Info:Linear Algebra: Mksol: WCT time 3117.06, iteration CPU time 0.34, COMM 0.04, cpu-wait 0.05, comm-wait 0.0 (7296 iterations) Info:Quadratic Characters: Total cpu/real time for characters: 37.04/51.1767 Info:Square Root: Total cpu/real time for sqrt: 1470.86/1821.64 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 138964/53022.4 Info:root: Cleaning up computation data in /tmp/cado.0rsjptak 33143695394626011512053646985597998648532020647495529 655582637664088445607097061441182323052840403145179812706448637 |
software ソフトウェア | cado-nfs-3.0.0 |
execution environment 実行環境 | Linux Ubuntu 20.04.1 LTS [5.4.0-48-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 | |
---|---|---|---|---|---|
35 | 1e6 | 118 | Makoto Kamada | August 18, 2013 07:00:00 UTC 2013 年 8 月 18 日 (日) 16 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 1500 | Dmitry Domanov | September 27, 2013 13:10:03 UTC 2013 年 9 月 27 日 (金) 22 時 10 分 3 秒 (日本時間) | |
45 | 11e6 | 2750 | 1500 | Dmitry Domanov | October 25, 2013 13:53:11 UTC 2013 年 10 月 25 日 (金) 22 時 53 分 11 秒 (日本時間) |
850 | Serge Batalov | November 8, 2013 17:13:05 UTC 2013 年 11 月 9 日 (土) 2 時 13 分 5 秒 (日本時間) | |||
400 | Serge Batalov | January 6, 2014 02:26:45 UTC 2014 年 1 月 6 日 (月) 11 時 26 分 45 秒 (日本時間) | |||
50 | 43e6 | 400 / 2105 | Erik Branger | March 21, 2014 20:30:36 UTC 2014 年 3 月 22 日 (土) 5 時 30 分 36 秒 (日本時間) | |
55 | 11e7 | 1980 / 17443 | yoyo@Home | March 11, 2021 11:58:48 UTC 2021 年 3 月 11 日 (木) 20 時 58 分 48 秒 (日本時間) |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | November 26, 2013 06:16:28 UTC 2013 年 11 月 26 日 (火) 15 時 16 分 28 秒 (日本時間) |
composite number 合成数 | 15427964781644063381240174314929690437134072663983179153402850237472125712776676559755009939936675354116006028044502829883847368660889157260217724707084096217969898836577175816221180420678454911152044135719580409028460041891063592227<233> |
prime factors 素因数 | 35030488362230348607770143741885186974511<41> |
composite cofactor 合成数の残り | 440415349683745705543239279711828188623248745486940201003162524475336609130312385582337533495500723720858376780600398692194664194730955839847112398929444077491816559664727544791084710235054157<192> |
factorization results 素因数分解の結果 | Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3316740770 Step 1 took 130563ms Step 2 took 35948ms ********** Factor found in step 2: 35030488362230348607770143741885186974511 Found probable prime factor of 41 digits: 35030488362230348607770143741885186974511 |
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 | August 18, 2013 07:00:00 UTC 2013 年 8 月 18 日 (日) 16 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 1500 | Dmitry Domanov | September 27, 2013 13:10:13 UTC 2013 年 9 月 27 日 (金) 22 時 10 分 13 秒 (日本時間) | |
45 | 11e6 | 1500 / 4143 | Dmitry Domanov | November 21, 2013 09:28:41 UTC 2013 年 11 月 21 日 (木) 18 時 28 分 41 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 | August 18, 2013 07:00:00 UTC 2013 年 8 月 18 日 (日) 16 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 1500 | Dmitry Domanov | September 27, 2013 13:10:23 UTC 2013 年 9 月 27 日 (金) 22 時 10 分 23 秒 (日本時間) | |
45 | 11e6 | 1500 / 4143 | Dmitry Domanov | October 25, 2013 13:53:26 UTC 2013 年 10 月 25 日 (金) 22 時 53 分 26 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 | August 18, 2013 07:00:00 UTC 2013 年 8 月 18 日 (日) 16 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 1500 | Dmitry Domanov | September 27, 2013 13:10:37 UTC 2013 年 9 月 27 日 (金) 22 時 10 分 37 秒 (日本時間) | |
45 | 11e6 | 1500 / 4143 | Dmitry Domanov | October 25, 2013 13:53:41 UTC 2013 年 10 月 25 日 (金) 22 時 53 分 41 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 | August 18, 2013 07:00:00 UTC 2013 年 8 月 18 日 (日) 16 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 1500 | Dmitry Domanov | September 27, 2013 13:10:46 UTC 2013 年 9 月 27 日 (金) 22 時 10 分 46 秒 (日本時間) | |
45 | 11e6 | 1500 / 4143 | Dmitry Domanov | November 21, 2013 09:29:00 UTC 2013 年 11 月 21 日 (木) 18 時 29 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 | August 18, 2013 07:00:00 UTC 2013 年 8 月 18 日 (日) 16 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 1500 | Dmitry Domanov | September 27, 2013 13:10:57 UTC 2013 年 9 月 27 日 (金) 22 時 10 分 57 秒 (日本時間) | |
45 | 11e6 | 1500 / 4143 | Dmitry Domanov | November 21, 2013 09:29:13 UTC 2013 年 11 月 21 日 (木) 18 時 29 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 | 118 | Makoto Kamada | August 18, 2013 07:00:00 UTC 2013 年 8 月 18 日 (日) 16 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 1500 | Dmitry Domanov | September 27, 2013 13:11:06 UTC 2013 年 9 月 27 日 (金) 22 時 11 分 6 秒 (日本時間) | |
45 | 11e6 | 1500 / 4143 | Dmitry Domanov | November 8, 2013 13:06:55 UTC 2013 年 11 月 8 日 (金) 22 時 6 分 55 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 118 | Makoto Kamada | August 18, 2013 07:00:00 UTC 2013 年 8 月 18 日 (日) 16 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 1500 | Dmitry Domanov | September 27, 2013 13:11:19 UTC 2013 年 9 月 27 日 (金) 22 時 11 分 19 秒 (日本時間) | |
45 | 11e6 | 1500 / 4143 | Dmitry Domanov | November 21, 2013 09:29:26 UTC 2013 年 11 月 21 日 (木) 18 時 29 分 26 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 | August 18, 2013 07:00:00 UTC 2013 年 8 月 18 日 (日) 16 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 1500 | Dmitry Domanov | September 27, 2013 13:11:29 UTC 2013 年 9 月 27 日 (金) 22 時 11 分 29 秒 (日本時間) | |
45 | 11e6 | 1500 / 4143 | Dmitry Domanov | November 8, 2013 13:07:15 UTC 2013 年 11 月 8 日 (金) 22 時 7 分 15 秒 (日本時間) |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | August 20, 2013 05:06:52 UTC 2013 年 8 月 20 日 (火) 14 時 6 分 52 秒 (日本時間) |
composite number 合成数 | 1308788109669196379100946119949484307927207013511236751589954019014288442719891880390826458331621558767188466693258046854277327283232635685770004480693743681446445425929690110998587901413286696582293324254547<208> |
prime factors 素因数 | 4462674928861656187447062318653119<34> |
composite cofactor 合成数の残り | 293274354626372803288706850584764976702316153250128364580516939429115576854090011310480366314896644543018213380813422633854566921883904353710753376751135955745233733200956013<174> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1216973022 Step 1 took 37147ms Step 2 took 13069ms ********** Factor found in step 2: 4462674928861656187447062318653119 Found probable prime factor of 34 digits: 4462674928861656187447062318653119 |
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 | August 18, 2013 07:00:00 UTC 2013 年 8 月 18 日 (日) 16 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 1500 | Dmitry Domanov | September 27, 2013 13:11:40 UTC 2013 年 9 月 27 日 (金) 22 時 11 分 40 秒 (日本時間) | |
45 | 11e6 | 1500 / 4143 | Dmitry Domanov | November 21, 2013 09:29:41 UTC 2013 年 11 月 21 日 (木) 18 時 29 分 41 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 | August 18, 2013 07:00:00 UTC 2013 年 8 月 18 日 (日) 16 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 1500 | Dmitry Domanov | August 30, 2013 10:34:43 UTC 2013 年 8 月 30 日 (金) 19 時 34 分 43 秒 (日本時間) | |
45 | 11e6 | 2000 | Dmitry Domanov | August 30, 2013 10:34:43 UTC 2013 年 8 月 30 日 (金) 19 時 34 分 43 秒 (日本時間) | |
50 | 43e6 | 620 / 7047 | 400 | Dmitry Domanov | September 6, 2013 13:20:56 UTC 2013 年 9 月 6 日 (金) 22 時 20 分 56 秒 (日本時間) |
220 | Dmitry Domanov | September 12, 2013 15:26:11 UTC 2013 年 9 月 13 日 (金) 0 時 26 分 11 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 | |
---|---|---|---|---|---|
20 | 11e3 | 74 | Makoto Kamada | January 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間) | |
25 | 5e4 | 214 | Makoto Kamada | January 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間) | |
30 | 25e4 | 0 | - | - | |
35 | 1e6 | 904 | Ignacio Santos | April 28, 2021 16:27:09 UTC 2021 年 4 月 29 日 (木) 1 時 27 分 9 秒 (日本時間) | |
40 | 3e6 | 2960 | 610 | Marlon Trifunovic | February 18, 2022 04:08:18 UTC 2022 年 2 月 18 日 (金) 13 時 8 分 18 秒 (日本時間) |
2350 | Ignacio Santos | May 1, 2024 15:42:18 UTC 2024 年 5 月 2 日 (木) 0 時 42 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 | |
---|---|---|---|---|---|
20 | 11e3 | 74 | Makoto Kamada | January 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間) | |
25 | 5e4 | 214 | Makoto Kamada | January 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間) | |
30 | 25e4 | 0 | - | - | |
35 | 1e6 | 904 | Ignacio Santos | April 28, 2021 16:27:19 UTC 2021 年 4 月 29 日 (木) 1 時 27 分 19 秒 (日本時間) | |
40 | 3e6 | 2960 | 610 | Marlon Trifunovic | February 16, 2022 08:30:56 UTC 2022 年 2 月 16 日 (水) 17 時 30 分 56 秒 (日本時間) |
2350 | Ignacio Santos | May 1, 2024 16:09:37 UTC 2024 年 5 月 2 日 (木) 1 時 9 分 37 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 | |
---|---|---|---|---|---|
20 | 11e3 | 74 | Makoto Kamada | January 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間) | |
25 | 5e4 | 214 | Makoto Kamada | January 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間) | |
30 | 25e4 | 0 | - | - | |
35 | 1e6 | 904 | Ignacio Santos | April 28, 2021 16:27:29 UTC 2021 年 4 月 29 日 (木) 1 時 27 分 29 秒 (日本時間) | |
40 | 3e6 | 2960 | 610 | Marlon Trifunovic | February 19, 2022 13:19:53 UTC 2022 年 2 月 19 日 (土) 22 時 19 分 53 秒 (日本時間) |
2350 | Ignacio Santos | May 1, 2024 16:09:47 UTC 2024 年 5 月 2 日 (木) 1 時 9 分 47 秒 (日本時間) |
name 名前 | Ignacio Santos |
---|---|
date 日付 | February 26, 2021 11:17:23 UTC 2021 年 2 月 26 日 (金) 20 時 17 分 23 秒 (日本時間) |
composite number 合成数 | 13960262066313215395650192544315393158319031223051509238524502820637388049512376883407039320792288713584865616063027428445227418703826150519777064357572465837369<161> |
prime factors 素因数 | 209277277322086019204553780456561682631<39> 66707013035284375924334917978765346889073807111176167385664676880037533343008832550045601897960138791342808718431897919999<122> |
factorization results 素因数分解の結果 | Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:745485159 Step 1 took 26157ms Step 2 took 11687ms ********** Factor found in step 2: 209277277322086019204553780456561682631 Found prime factor of 39 digits: 209277277322086019204553780456561682631 Prime cofactor 66707013035284375924334917978765346889073807111176167385664676880037533343008832550045601897960138791342808718431897919999 has 122 digits |
software ソフトウェア | GMP-ECM |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
20 | 11e3 | 74 | Makoto Kamada | January 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間) | |
25 | 5e4 | 214 | Makoto Kamada | January 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間) | |
30 | 25e4 | 0 | - | - | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 1200 / 2350 | Dmitry Domanov | January 13, 2021 21:03:23 UTC 2021 年 1 月 14 日 (木) 6 時 3 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 | |
---|---|---|---|---|---|
20 | 11e3 | 74 | Makoto Kamada | January 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間) | |
25 | 5e4 | 214 | Makoto Kamada | January 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間) | |
30 | 25e4 | 0 | - | - | |
35 | 1e6 | 904 | Ignacio Santos | April 28, 2021 16:27:38 UTC 2021 年 4 月 29 日 (木) 1 時 27 分 38 秒 (日本時間) | |
40 | 3e6 | 2104 | Marlon Trifunovic | February 15, 2022 23:29:23 UTC 2022 年 2 月 16 日 (水) 8 時 29 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 | |
---|---|---|---|---|---|
20 | 11e3 | 74 | Makoto Kamada | January 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間) | |
25 | 5e4 | 214 | Makoto Kamada | January 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間) | |
30 | 25e4 | 0 | - | - | |
35 | 1e6 | 904 | Ignacio Santos | April 28, 2021 16:27:48 UTC 2021 年 4 月 29 日 (木) 1 時 27 分 48 秒 (日本時間) | |
40 | 3e6 | 2960 | 610 | Marlon Trifunovic | March 7, 2022 09:28:07 UTC 2022 年 3 月 7 日 (月) 18 時 28 分 7 秒 (日本時間) |
2350 | Ignacio Santos | May 1, 2024 16:39:27 UTC 2024 年 5 月 2 日 (木) 1 時 39 分 27 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
20 | 11e3 | 74 | Makoto Kamada | January 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間) | |
25 | 5e4 | 214 | Makoto Kamada | January 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間) | |
30 | 25e4 | 0 | - | - | |
35 | 1e6 | 904 | Ignacio Santos | April 28, 2021 16:27:58 UTC 2021 年 4 月 29 日 (木) 1 時 27 分 58 秒 (日本時間) | |
40 | 3e6 | 2960 | 610 | Marlon Trifunovic | March 8, 2022 07:53:30 UTC 2022 年 3 月 8 日 (火) 16 時 53 分 30 秒 (日本時間) |
2350 | Ignacio Santos | May 1, 2024 16:45:39 UTC 2024 年 5 月 2 日 (木) 1 時 45 分 39 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 | |
---|---|---|---|---|---|
20 | 11e3 | 74 | Makoto Kamada | January 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間) | |
25 | 5e4 | 214 | Makoto Kamada | January 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間) | |
30 | 25e4 | 0 | - | - | |
35 | 1e6 | 904 | Ignacio Santos | April 28, 2021 16:28:12 UTC 2021 年 4 月 29 日 (木) 1 時 28 分 12 秒 (日本時間) | |
40 | 3e6 | 2960 | 610 | Marlon Trifunovic | February 19, 2022 00:17:40 UTC 2022 年 2 月 19 日 (土) 9 時 17 分 40 秒 (日本時間) |
2350 | Ignacio Santos | May 1, 2024 16:58:22 UTC 2024 年 5 月 2 日 (木) 1 時 58 分 22 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 | |
---|---|---|---|---|---|
20 | 11e3 | 74 | Makoto Kamada | January 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間) | |
25 | 5e4 | 214 | Makoto Kamada | January 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間) | |
30 | 25e4 | 0 | - | - | |
35 | 1e6 | 904 | Ignacio Santos | April 28, 2021 16:28:25 UTC 2021 年 4 月 29 日 (木) 1 時 28 分 25 秒 (日本時間) | |
40 | 3e6 | 2960 | 610 | Marlon Trifunovic | February 19, 2022 18:28:58 UTC 2022 年 2 月 20 日 (日) 3 時 28 分 58 秒 (日本時間) |
2350 | Ignacio Santos | May 1, 2024 17:07:14 UTC 2024 年 5 月 2 日 (木) 2 時 7 分 14 秒 (日本時間) |
name 名前 | Ignacio Santos |
---|---|
date 日付 | June 29, 2021 13:52:46 UTC 2021 年 6 月 29 日 (火) 22 時 52 分 46 秒 (日本時間) |
composite number 合成数 | 45555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557<269> |
prime factors 素因数 | 585459577549914183106152518220242799610316473<45> |
composite cofactor 合成数の残り | 77811615528096219982498484713315852875972107701996397669060976357629945844578210742275644648384745029391001316254480540766179938757893021316856651799701281218192005343775061339738413871849117411704805858754093511140559220109<224> |
factorization results 素因数分解の結果 | Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1379018272 Step 1 took 55719ms Step 2 took 19531ms ********** Factor found in step 2: 585459577549914183106152518220242799610316473 Found prime factor of 45 digits: 585459577549914183106152518220242799610316473 Composite cofactor 77811615528096219982498484713315852875972107701996397669060976357629945844578210742275644648384745029391001316254480540766179938757893021316856651799701281218192005343775061339738413871849117411704805858754093511140559220109 has 224 digits |
software ソフトウェア | GMP-ECM |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
20 | 11e3 | 74 | Makoto Kamada | January 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間) | |
25 | 5e4 | 214 | Makoto Kamada | January 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間) | |
30 | 25e4 | 0 | - | - | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 3550 | 1200 | Dmitry Domanov | February 27, 2021 22:44:49 UTC 2021 年 2 月 28 日 (日) 7 時 44 分 49 秒 (日本時間) |
2350 | Ignacio Santos | April 3, 2021 15:42:00 UTC 2021 年 4 月 4 日 (日) 0 時 42 分 0 秒 (日本時間) | |||
45 | 11e6 | 2000 / 3696 | 1000 | Dmitry Domanov | April 14, 2021 08:48:01 UTC 2021 年 4 月 14 日 (水) 17 時 48 分 1 秒 (日本時間) |
1000 | Dmitry Domanov | May 29, 2021 13:26:39 UTC 2021 年 5 月 29 日 (土) 22 時 26 分 39 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 | |
---|---|---|---|---|---|
20 | 11e3 | 74 | Makoto Kamada | January 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間) | |
25 | 5e4 | 214 | Makoto Kamada | January 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間) | |
30 | 25e4 | 0 | - | - | |
35 | 1e6 | 904 | Ignacio Santos | April 28, 2021 16:28:45 UTC 2021 年 4 月 29 日 (木) 1 時 28 分 45 秒 (日本時間) | |
40 | 3e6 | 2960 | 610 | Marlon Trifunovic | March 2, 2022 08:18:13 UTC 2022 年 3 月 2 日 (水) 17 時 18 分 13 秒 (日本時間) |
2350 | Ignacio Santos | May 2, 2024 06:33:43 UTC 2024 年 5 月 2 日 (木) 15 時 33 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 | |
---|---|---|---|---|---|
20 | 11e3 | 74 | Makoto Kamada | January 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間) | |
25 | 5e4 | 214 | Makoto Kamada | January 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間) | |
30 | 25e4 | 0 | - | - | |
35 | 1e6 | 904 | Ignacio Santos | April 28, 2021 16:28:58 UTC 2021 年 4 月 29 日 (木) 1 時 28 分 58 秒 (日本時間) | |
40 | 3e6 | 2960 | 610 | Marlon Trifunovic | February 20, 2022 02:55:16 UTC 2022 年 2 月 20 日 (日) 11 時 55 分 16 秒 (日本時間) |
2350 | Ignacio Santos | May 2, 2024 06:52:16 UTC 2024 年 5 月 2 日 (木) 15 時 52 分 16 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
20 | 11e3 | 74 | Makoto Kamada | January 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間) | |
25 | 5e4 | 214 | Makoto Kamada | January 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間) | |
30 | 25e4 | 0 | - | - | |
35 | 1e6 | 904 | Ignacio Santos | April 28, 2021 16:29:08 UTC 2021 年 4 月 29 日 (木) 1 時 29 分 8 秒 (日本時間) | |
40 | 3e6 | 2960 | 610 | Marlon Trifunovic | February 20, 2022 05:49:15 UTC 2022 年 2 月 20 日 (日) 14 時 49 分 15 秒 (日本時間) |
2350 | Ignacio Santos | May 2, 2024 06:57:25 UTC 2024 年 5 月 2 日 (木) 15 時 57 分 25 秒 (日本時間) |
name 名前 | Marlon Trifunovic |
---|---|
date 日付 | February 21, 2022 17:53:12 UTC 2022 年 2 月 22 日 (火) 2 時 53 分 12 秒 (日本時間) |
composite number 合成数 | 626218662804023871948064488222897033381930968143758127806937577372827545507882851687939187385692432780095723942646702130215294165824388845900293925159071626204592709770570885886141592923127258794516794123286818455647<216> |
prime factors 素因数 | 2067498964801836941629208997282773791<37> |
composite cofactor 合成数の残り | 302887050230782048378294427695724788792091286670673675139295707164378008550301723058057265400448746653419625967293397294855087415675361106993854895376388400060541255021502407873217<180> |
factorization results 素因数分解の結果 | Run 168 out of 610: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:486895905 Step 1 took 20597ms Step 2 took 8190ms ********** Factor found in step 2: 2067498964801836941629208997282773791 Found prime factor of 37 digits: 2067498964801836941629208997282773791 Composite cofactor 302887050230782048378294427695724788792091286670673675139295707164378008550301723058057265400448746653419625967293397294855087415675361106993854895376388400060541255021502407873217 has 180 digits |
software ソフトウェア | GMP-ECM 7.0.5-dev |
execution environment 実行環境 | Intel Xeon CPU E5-2695 v4 @ 2.10GHz |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
20 | 11e3 | 74 | Makoto Kamada | January 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間) | |
25 | 5e4 | 214 | Makoto Kamada | January 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間) | |
30 | 25e4 | 0 | - | - | |
35 | 1e6 | 904 | Ignacio Santos | April 28, 2021 16:29:18 UTC 2021 年 4 月 29 日 (木) 1 時 29 分 18 秒 (日本時間) | |
40 | 3e6 | 2960 | 610 | Marlon Trifunovic | February 20, 2022 06:30:52 UTC 2022 年 2 月 20 日 (日) 15 時 30 分 52 秒 (日本時間) |
2350 | Ignacio Santos | February 22, 2022 15:51:36 UTC 2022 年 2 月 23 日 (水) 0 時 51 分 36 秒 (日本時間) | |||
45 | 11e6 | 4480 | Ignacio Santos | March 6, 2022 17:48:11 UTC 2022 年 3 月 7 日 (月) 2 時 48 分 11 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 | |
---|---|---|---|---|---|
20 | 11e3 | 74 | Makoto Kamada | January 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間) | |
25 | 5e4 | 214 | Makoto Kamada | January 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間) | |
30 | 25e4 | 0 | - | - | |
35 | 1e6 | 904 | Ignacio Santos | April 28, 2021 16:29:31 UTC 2021 年 4 月 29 日 (木) 1 時 29 分 31 秒 (日本時間) | |
40 | 3e6 | 2960 | 610 | Marlon Trifunovic | March 3, 2022 22:49:17 UTC 2022 年 3 月 4 日 (金) 7 時 49 分 17 秒 (日本時間) |
2350 | Ignacio Santos | May 2, 2024 07:24:48 UTC 2024 年 5 月 2 日 (木) 16 時 24 分 48 秒 (日本時間) |
name 名前 | Marlon Trifunovic |
---|---|
date 日付 | April 15, 2022 00:34:42 UTC 2022 年 4 月 15 日 (金) 9 時 34 分 42 秒 (日本時間) |
composite number 合成数 | 324314310558795930124346061720810149803944089162072279851293187493142927610593750684718475798677382960700145553844599814729517514436139625062598594516699299805403503559586861536852744770886573284711499085947801058008202304419288728092271692810750655530187848385749249509<270> |
prime factors 素因数 | 3006563534310511035176414712004398311<37> |
composite cofactor 合成数の残り | 107868770061820847810909229991925543339614484752354438238148094508853769538741918943882981108001196150077124421720161715939289739275632427081770687194171303169323081358768752649451828164351230102496879332062192478908835512383435745619<234> |
factorization results 素因数分解の結果 | Run 420 out of 610: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1356564298 Step 1 took 26745ms Step 2 took 10277ms ********** Factor found in step 2: 3006563534310511035176414712004398311 Found prime factor of 37 digits: 3006563534310511035176414712004398311 Composite cofactor 107868770061820847810909229991925543339614484752354438238148094508853769538741918943882981108001196150077124421720161715939289739275632427081770687194171303169323081358768752649451828164351230102496879332062192478908835512383435745619 has 234 digits |
software ソフトウェア | GMP-ECM 7.0.5-dev |
execution environment 実行環境 | Intel Xeon CPU E5-2695 v4 @ 2.10GHz |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
20 | 11e3 | 74 | Makoto Kamada | January 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間) | |
25 | 5e4 | 214 | Makoto Kamada | January 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間) | |
30 | 25e4 | 0 | - | - | |
35 | 1e6 | 904 | Ignacio Santos | April 28, 2021 16:29:41 UTC 2021 年 4 月 29 日 (木) 1 時 29 分 41 秒 (日本時間) | |
40 | 3e6 | 2960 | 610 | Marlon Trifunovic | March 8, 2022 10:40:11 UTC 2022 年 3 月 8 日 (火) 19 時 40 分 11 秒 (日本時間) |
2350 | Ignacio Santos | May 2, 2024 07:41:49 UTC 2024 年 5 月 2 日 (木) 16 時 41 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 | |
---|---|---|---|---|---|
20 | 11e3 | 74 | Makoto Kamada | January 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間) | |
25 | 5e4 | 214 | Makoto Kamada | January 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間) | |
30 | 25e4 | 0 | - | - | |
35 | 1e6 | 904 | Ignacio Santos | April 28, 2021 16:29:50 UTC 2021 年 4 月 29 日 (木) 1 時 29 分 50 秒 (日本時間) | |
40 | 3e6 | 2960 | 610 | Marlon Trifunovic | March 7, 2022 18:50:04 UTC 2022 年 3 月 8 日 (火) 3 時 50 分 4 秒 (日本時間) |
2350 | Ignacio Santos | May 2, 2024 08:05:38 UTC 2024 年 5 月 2 日 (木) 17 時 5 分 38 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 | |
---|---|---|---|---|---|
20 | 11e3 | 74 | Makoto Kamada | January 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間) | |
25 | 5e4 | 214 | Makoto Kamada | January 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間) | |
30 | 25e4 | 0 | - | - | |
35 | 1e6 | 904 | Ignacio Santos | April 28, 2021 16:30:03 UTC 2021 年 4 月 29 日 (木) 1 時 30 分 3 秒 (日本時間) | |
40 | 3e6 | 2960 | 610 | Marlon Trifunovic | March 10, 2022 00:24:24 UTC 2022 年 3 月 10 日 (木) 9 時 24 分 24 秒 (日本時間) |
2350 | Ignacio Santos | May 2, 2024 08:06:14 UTC 2024 年 5 月 2 日 (木) 17 時 6 分 14 秒 (日本時間) |
name 名前 | Ignacio Santos |
---|---|
date 日付 | May 2, 2024 08:43:12 UTC 2024 年 5 月 2 日 (木) 17 時 43 分 12 秒 (日本時間) |
composite number 合成数 | 5284431973184987727873406663204719281306940560064722691698892035059241704634021508153685201747368320655207698154276800351195615622791574656328255509761441407442722879618448544905878466571263336262970863833205798078760978568535022701790868217995449975182503013737332024340867<274> |
prime factors 素因数 | 248909769077536191655035584891118356989<39> |
composite cofactor 合成数の残り | 21230311661808943360383944627308122086694567339361898697953167908711373245949686318511435850008885410572643066741399841091761473489459175740990870701184996327019250309742526067819583635540454057853864655893633743394322495830401099039103<236> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:210762962 Step 1 took 11562ms Step 2 took 4063ms ********** Factor found in step 2: 248909769077536191655035584891118356989 Found prime factor of 39 digits: 248909769077536191655035584891118356989 Composite cofactor 21230311661808943360383944627308122086694567339361898697953167908711373245949686318511435850008885410572643066741399841091761473489459175740990870701184996327019250309742526067819583635540454057853864655893633743394322495830401099039103 has 236 digits |
software ソフトウェア | GMP-ECM |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
20 | 11e3 | 74 | Makoto Kamada | January 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間) | |
25 | 5e4 | 214 | Makoto Kamada | January 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間) | |
30 | 25e4 | 0 | - | - | |
35 | 1e6 | 904 | Ignacio Santos | April 28, 2021 16:30:12 UTC 2021 年 4 月 29 日 (木) 1 時 30 分 12 秒 (日本時間) | |
40 | 3e6 | 2960 | 610 | Marlon Trifunovic | March 10, 2022 07:17:46 UTC 2022 年 3 月 10 日 (木) 16 時 17 分 46 秒 (日本時間) |
2350 | Ignacio Santos | May 8, 2024 14:15:08 UTC 2024 年 5 月 8 日 (水) 23 時 15 分 8 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
20 | 11e3 | 74 | Makoto Kamada | January 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間) | |
25 | 5e4 | 214 | Makoto Kamada | January 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間) | |
30 | 25e4 | 0 | - | - | |
35 | 1e6 | 904 | Ignacio Santos | April 28, 2021 16:30:23 UTC 2021 年 4 月 29 日 (木) 1 時 30 分 23 秒 (日本時間) | |
40 | 3e6 | 2960 | 610 | Marlon Trifunovic | March 10, 2022 10:11:30 UTC 2022 年 3 月 10 日 (木) 19 時 11 分 30 秒 (日本時間) |
2350 | Ignacio Santos | May 2, 2024 08:43:41 UTC 2024 年 5 月 2 日 (木) 17 時 43 分 41 秒 (日本時間) |
name 名前 | Marlon Trifunovic |
---|---|
date 日付 | April 15, 2022 00:34:46 UTC 2022 年 4 月 15 日 (金) 9 時 34 分 46 秒 (日本時間) |
composite number 合成数 | 2618998219211644478922337104658212335565957049574156681865444307797561796389195084281995122080545079697540888909615827219207986915586848027898026488583189203698161855810168278124875327245351306687787488185778964087385206370079409319262672849830137185230033117<259> |
prime factors 素因数 | 2040962023600014829754982941896115033<37> |
composite cofactor 合成数の残り | 1283217516508240750943180591305000526373281302293208289153452605491289728692967966421725604700320056548270753642012391633767685201226407474023737196449427284515515627554107385467209221849212416347440439375025511381147360549<223> |
factorization results 素因数分解の結果 | Run 466 out of 610: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4181766926 Step 1 took 26416ms Step 2 took 10140ms ********** Factor found in step 2: 2040962023600014829754982941896115033 Found prime factor of 37 digits: 2040962023600014829754982941896115033 Composite cofactor 1283217516508240750943180591305000526373281302293208289153452605491289728692967966421725604700320056548270753642012391633767685201226407474023737196449427284515515627554107385467209221849212416347440439375025511381147360549 has 223 digits |
software ソフトウェア | GMP-ECM 7.0.5-dev |
execution environment 実行環境 | Intel Xeon CPU E5-2695 v4 @ 2.10GHz |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
20 | 11e3 | 74 | Makoto Kamada | January 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間) | |
25 | 5e4 | 214 | Makoto Kamada | January 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間) | |
30 | 25e4 | 0 | - | - | |
35 | 1e6 | 904 | Ignacio Santos | April 28, 2021 16:30:35 UTC 2021 年 4 月 29 日 (木) 1 時 30 分 35 秒 (日本時間) | |
40 | 3e6 | 2960 | 610 | Marlon Trifunovic | March 7, 2022 17:36:44 UTC 2022 年 3 月 8 日 (火) 2 時 36 分 44 秒 (日本時間) |
2350 | Ignacio Santos | May 2, 2024 09:06:12 UTC 2024 年 5 月 2 日 (木) 18 時 6 分 12 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
20 | 11e3 | 74 | Makoto Kamada | January 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間) | |
25 | 5e4 | 214 | Makoto Kamada | January 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間) | |
30 | 25e4 | 0 | - | - | |
35 | 1e6 | 904 | Ignacio Santos | April 28, 2021 16:30:44 UTC 2021 年 4 月 29 日 (木) 1 時 30 分 44 秒 (日本時間) | |
40 | 3e6 | 2960 | 610 | Marlon Trifunovic | March 5, 2022 17:49:20 UTC 2022 年 3 月 6 日 (日) 2 時 49 分 20 秒 (日本時間) |
2350 | Ignacio Santos | May 2, 2024 09:08:13 UTC 2024 年 5 月 2 日 (木) 18 時 8 分 13 秒 (日本時間) |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | February 27, 2021 20:52:39 UTC 2021 年 2 月 28 日 (日) 5 時 52 分 39 秒 (日本時間) |
composite number 合成数 | 1621392111151448900005731565316243797681984036281587230088228216886676768487630928052561951488771042232193307789310323652529806025953266118187104276961001688085620082252075991380013187997<187> |
prime factors 素因数 | 10617975199599425278627955589819835231<38> |
composite cofactor 合成数の残り | 152702570939572140817643416743133088823123498375152299534752415338049826105218986014845442278021261203761490331166863392486830981361476816572231865987<150> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:825638516 Step 1 took 9344ms Step 2 took 4629ms ********** Factor found in step 2: 10617975199599425278627955589819835231 Found prime factor of 38 digits: 10617975199599425278627955589819835231 Composite cofactor 152702570939572140817643416743133088823123498375152299534752415338049826105218986014845442278021261203761490331166863392486830981361476816572231865987 has 150 digits |
name 名前 | Bob Backstrom |
---|---|
date 日付 | June 17, 2024 15:18:52 UTC 2024 年 6 月 18 日 (火) 0 時 18 分 52 秒 (日本時間) |
composite number 合成数 | 152702570939572140817643416743133088823123498375152299534752415338049826105218986014845442278021261203761490331166863392486830981361476816572231865987<150> |
prime factors 素因数 | 62928314421170539994445391862310301839462114929673365179<56> 2426611491888291626918923785183017387800288696372428915419608932962424204477268599955546318553<94> |
factorization results 素因数分解の結果 | CADO: STA:Sat Jun 15 09:42:59 AM AEST 2024 (152702570939572140817643416743133088823123498375152299534752415338049826105218986014845442278021261203761490331166863392486830981361476816572231865987 - C150) /home/bob/Downloads/Math/cado-nfs/cado-nfs.py -t 18 --no-colors --screenlog DEBUG 152702570939572140817643416743133088823123498375152299534752415338049826105218986014845442278021261203761490331166863392486830981361476816572231865987 2>&1 | tee -a log-38 /home/bob/Downloads/Math/cado-nfs/cado-nfs.py:93: DeprecationWarning: 'locale.getdefaultlocale' is deprecated and slated for removal in Python 3.15. Use setlocale(), getencoding() and getlocale() instead. loc = locale.getdefaultlocale()[1] Debug:root: Looking for parameter file for c150 in directory /home/bob/Downloads/Math/cado-nfs/parameters/factor Info:root: Using default parameter file /home/bob/Downloads/Math/cado-nfs/parameters/factor/params.c150 Debug:Parameters: Reading parameter file /home/bob/Downloads/Math/cado-nfs/parameters/factor/params.c150 Info:root: No database exists yet Info:root: Created temporary directory /tmp/cado.ze3z5q83 Info:Database: Opened connection to database /tmp/cado.ze3z5q83/c150.db Info:root: Set tasks.threads=18 based on --server-threads 18 Info:root: tasks.threads = 18 [via tasks.threads] Info:root: tasks.polyselect.threads = 2 [via tasks.polyselect.threads] Info:root: tasks.sieve.las.threads = 2 [via tasks.sieve.las.threads] Info:root: tasks.linalg.bwc.threads = 18 [via tasks.threads] Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads] Info:root: slaves.scriptpath is /home/bob/Downloads/Math/cado-nfs/build/VM9 Info:root: Command line parameters: /home/bob/Downloads/Math/cado-nfs/cado-nfs.py -t 18 --no-colors --screenlog DEBUG 152702570939572140817643416743133088823123498375152299534752415338049826105218986014845442278021261203761490331166863392486830981361476816572231865987 Debug:root: Root parameter dictionary: N = 152702570939572140817643416743133088823123498375152299534752415338049826105218986014845442278021261203761490331166863392486830981361476816572231865987 name = c150 === Info:Polynomial Selection (root optimized): Best polynomial is: n: 152702570939572140817643416743133088823123498375152299534752415338049826105218986014845442278021261203761490331166863392486830981361476816572231865987 skew: 1576035.605 c0: -19440809855745253759350804823388964 c1: 32124850129750343683599792831 c2: -1319917674549883565957674 c3: 38256829559297404 c4: 324933208682 c5: 11340 Y0: -72384475582557430152129061585 Y1: 21511184364139815673717 # MurphyE (Bf=2.147e+09,Bg=2.147e+09,area=4.027e+14) = 6.371e-07 # f(x) = 11340*x^5+324933208682*x^4+38256829559297404*x^3-1319917674549883565957674*x^2+32124850129750343683599792831*x-19440809855745253759350804823388964 # g(x) = 21511184364139815673717*x-72384475582557430152129061585 === Debug:Command: Process with PID 558623 finished successfully Info:Square Root: finished Info:Square Root: Factors: 62928314421170539994445391862310301839462114929673365179 2426611491888291626918923785183017387800288696372428915419608932962424204477268599955546318553 Debug:Square Root: Exit SqrtTask.run(sqrt) Info:Complete Factorization / Discrete logarithm: Square Root Info:Square Root: Total cpu/real time for sqrt: 3471.98/421.972 Info:HTTP server: Got notification to stop serving Workunits Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 6171.25 Info:Polynomial Selection (root optimized): Rootsieve time: 6170.64 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 704.58/624.753 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 624.6s Info:Filtering - Merging: Total cpu/real time for merge: 354.29/54.2842 Info:Filtering - Merging: Total cpu/real time for replay: 57.68/50.9138 Info:Linear Algebra: Total cpu/real time for bwc: 106530/13768.8 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 65264.94, WCT time 8362.87, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.02, comm-wait 0.0 (96000 iterations) Info:Linear Algebra: Lingen CPU time 123.29, WCT time 124.79 Info:Linear Algebra: Mksol: CPU time 34970.58, WCT time 4516.29, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.02, comm-wait 0.0 (48000 iterations) Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 161982 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 112162/45.020/55.963/68.900/2.615 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 95578/43.620/48.606/61.850/1.525 Info:Polynomial Selection (size optimized): Total time: 75035.1 Info:Generate Free Relations: Total cpu/real time for freerel: 870.42/107.391 Info:Filtering - Singleton removal: Total cpu/real time for purge: 989.51/813.957 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 2090.97/1365.33 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 1178.7s Info:Quadratic Characters: Total cpu/real time for characters: 91.19/25.1139 Info:Generate Factor Base: Total cpu/real time for makefb: 10.62/1.86381 Info:Square Root: Total cpu/real time for sqrt: 3471.98/421.972 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 163073628 Info:Lattice Sieving: Average J: 8049.52 for 670894 special-q, max bucket fill -bkmult 1.0,1s:1.123790 Info:Lattice Sieving: Total time: 1.43796e+06s Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 1.56223e+06/188661 [2d 04:24:21] Info:root: Cleaning up computation data in /tmp/cado.ze3z5q83 62928314421170539994445391862310301839462114929673365179 2426611491888291626918923785183017387800288696372428915419608932962424204477268599955546318553 END:Mon Jun 17 02:07:22 PM AEST 2024 (152702570939572140817643416743133088823123498375152299534752415338049826105218986014845442278021261203761490331166863392486830981361476816572231865987 - C150) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
20 | 11e3 | 74 | Makoto Kamada | January 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間) | |
25 | 5e4 | 214 | Makoto Kamada | January 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間) | |
30 | 25e4 | 0 | - | - | |
35 | 1e6 | 904 | Ignacio Santos | February 27, 2021 17:44:54 UTC 2021 年 2 月 28 日 (日) 2 時 44 分 54 秒 (日本時間) | |
40 | 3e6 | 3550 | 1200 | Dmitry Domanov | February 27, 2021 20:13:21 UTC 2021 年 2 月 28 日 (日) 5 時 13 分 21 秒 (日本時間) |
2350 | Ignacio Santos | March 1, 2021 09:39:10 UTC 2021 年 3 月 1 日 (月) 18 時 39 分 10 秒 (日本時間) | |||
45 | 11e6 | 4480 | Ignacio Santos | March 1, 2021 22:02:29 UTC 2021 年 3 月 2 日 (火) 7 時 2 分 29 秒 (日本時間) | |
50 | 43e6 | 6454 | Ignacio Santos | December 1, 2023 15:18:42 UTC 2023 年 12 月 2 日 (土) 0 時 18 分 42 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 | |
---|---|---|---|---|---|
20 | 11e3 | 74 | Makoto Kamada | January 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間) | |
25 | 5e4 | 214 | Makoto Kamada | January 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間) | |
30 | 25e4 | 0 | - | - | |
35 | 1e6 | 904 | Ignacio Santos | April 28, 2021 16:31:04 UTC 2021 年 4 月 29 日 (木) 1 時 31 分 4 秒 (日本時間) | |
40 | 3e6 | 2960 | 610 | Marlon Trifunovic | March 8, 2022 02:41:08 UTC 2022 年 3 月 8 日 (火) 11 時 41 分 8 秒 (日本時間) |
2350 | Ignacio Santos | May 2, 2024 09:37:54 UTC 2024 年 5 月 2 日 (木) 18 時 37 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 | |
---|---|---|---|---|---|
20 | 11e3 | 74 | Makoto Kamada | January 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間) | |
25 | 5e4 | 214 | Makoto Kamada | January 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間) | |
30 | 25e4 | 0 | - | - | |
35 | 1e6 | 904 | Ignacio Santos | April 28, 2021 16:31:22 UTC 2021 年 4 月 29 日 (木) 1 時 31 分 22 秒 (日本時間) | |
40 | 3e6 | 2960 | 610 | Marlon Trifunovic | March 9, 2022 20:06:15 UTC 2022 年 3 月 10 日 (木) 5 時 6 分 15 秒 (日本時間) |
2350 | Ignacio Santos | May 2, 2024 09:42:13 UTC 2024 年 5 月 2 日 (木) 18 時 42 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 | |
---|---|---|---|---|---|
20 | 11e3 | 74 | Makoto Kamada | January 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間) | |
25 | 5e4 | 214 | Makoto Kamada | January 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間) | |
30 | 25e4 | 0 | - | - | |
35 | 1e6 | 904 | Ignacio Santos | April 28, 2021 16:31:33 UTC 2021 年 4 月 29 日 (木) 1 時 31 分 33 秒 (日本時間) | |
40 | 3e6 | 2960 | 610 | Marlon Trifunovic | March 2, 2022 23:06:56 UTC 2022 年 3 月 3 日 (木) 8 時 6 分 56 秒 (日本時間) |
2350 | Ignacio Santos | May 2, 2024 09:58:51 UTC 2024 年 5 月 2 日 (木) 18 時 58 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 | |
---|---|---|---|---|---|
20 | 11e3 | 74 | Makoto Kamada | January 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間) | |
25 | 5e4 | 214 | Makoto Kamada | January 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間) | |
30 | 25e4 | 0 | - | - | |
35 | 1e6 | 904 | Ignacio Santos | April 28, 2021 16:31:45 UTC 2021 年 4 月 29 日 (木) 1 時 31 分 45 秒 (日本時間) | |
40 | 3e6 | 2960 | 610 | Marlon Trifunovic | March 8, 2022 06:42:27 UTC 2022 年 3 月 8 日 (火) 15 時 42 分 27 秒 (日本時間) |
2350 | Ignacio Santos | May 2, 2024 10:10:47 UTC 2024 年 5 月 2 日 (木) 19 時 10 分 47 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 | |
---|---|---|---|---|---|
20 | 11e3 | 74 | Makoto Kamada | January 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間) | |
25 | 5e4 | 214 | Makoto Kamada | January 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間) | |
30 | 25e4 | 0 | - | - | |
35 | 1e6 | 904 | Ignacio Santos | April 28, 2021 16:31:56 UTC 2021 年 4 月 29 日 (木) 1 時 31 分 56 秒 (日本時間) | |
40 | 3e6 | 2960 | 610 | Marlon Trifunovic | March 8, 2022 00:15:39 UTC 2022 年 3 月 8 日 (火) 9 時 15 分 39 秒 (日本時間) |
2350 | Ignacio Santos | May 2, 2024 11:41:49 UTC 2024 年 5 月 2 日 (木) 20 時 41 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 | |
---|---|---|---|---|---|
20 | 11e3 | 74 | Makoto Kamada | January 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間) | |
25 | 5e4 | 214 | Makoto Kamada | January 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間) | |
30 | 25e4 | 0 | - | - | |
35 | 1e6 | 904 | Ignacio Santos | April 28, 2021 16:32:07 UTC 2021 年 4 月 29 日 (木) 1 時 32 分 7 秒 (日本時間) | |
40 | 3e6 | 2960 | 610 | Marlon Trifunovic | March 9, 2022 22:36:56 UTC 2022 年 3 月 10 日 (木) 7 時 36 分 56 秒 (日本時間) |
2350 | Ignacio Santos | May 2, 2024 11:42:02 UTC 2024 年 5 月 2 日 (木) 20 時 42 分 2 秒 (日本時間) |
name 名前 | Seth Troisi |
---|---|
date 日付 | November 18, 2023 02:00:10 UTC 2023 年 11 月 18 日 (土) 11 時 0 分 10 秒 (日本時間) |
composite number 合成数 | 18655118844614901646934721045377135485523518196315404559817638824439495939358726366788458216124839921965353625883365285992450763813327221726589617700338346890455824633572920088133847672212558054283644499722075916563296839565361057637<233> |
prime factors 素因数 | 3541046238469364940092058655977042864880459<43> |
composite cofactor 合成数の残り | 5268250564465566161396841490679252526613322949381132209596066448180118171540902643583219014963761355455880854495935340159905123974558232651263346278699833900580352092458747294449742751728143<190> |
factorization results 素因数分解の結果 | Resuming P-1 residue saved by five@five with GMP-ECM 7.0.6-dev on Thu Nov 16 02:50:40 2023 Input number is 18655118844614901646934721045377135485523518196315404559817638824439495939358726366788458216124839921965353625883365285992450763813327221726589617700338346890455824633572920088133847672212558054283644499722075916563296839565361057637 (233 digits) Using mpz_mod Using lmax = 8388608 with NTT which takes about 2784MB of memory Using B1=4000000000-4000000000, B2=205705378426380, polynomial x^1 P = 24249225, l = 8388608, s_1 = 4147200, k = s_2 = 2, m_1 = 79 Probability of finding a factor of n digits (assuming one exists): 20 25 30 35 40 45 50 55 60 65 0.71 0.43 0.21 0.087 0.032 0.01 0.003 0.00079 0.00019 4.5e-05 Step 1 took 0ms Computing F from factored S_1 took 28874ms Computing h took 4067ms Computing DCT-I of h took 8576ms Multi-point evaluation 1 of 2: Computing g_i took 13928ms Computing g*h took 16801ms Computing gcd of coefficients and N took 3898ms Step 2 took 76515ms ********** Factor found in step 2: 3541046238469364940092058655977042864880459 Found prime factor of 43 digits: 3541046238469364940092058655977042864880459 Composite cofactor 5268250564465566161396841490679252526613322949381132209596066448180118171540902643583219014963761355455880854495935340159905123974558232651263346278699833900580352092458747294449742751728143 has 190 digits |
name 名前 | Ignacio Santos |
---|---|
date 日付 | May 1, 2024 10:36:01 UTC 2024 年 5 月 1 日 (水) 19 時 36 分 1 秒 (日本時間) |
composite number 合成数 | 5268250564465566161396841490679252526613322949381132209596066448180118171540902643583219014963761355455880854495935340159905123974558232651263346278699833900580352092458747294449742751728143<190> |
prime factors 素因数 | 7653200878513189731000123555903917627294443<43> |
composite cofactor 合成数の残り | 688372178921435155888793496849324584194432198409971495658274151894632617225103643105146985687985836240760486570576354987350338731097754818016545901<147> |
factorization results 素因数分解の結果 | Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3481558123 Step 1 took 27453ms Step 2 took 11547ms ********** Factor found in step 2: 7653200878513189731000123555903917627294443 Found prime factor of 43 digits: 7653200878513189731000123555903917627294443 Composite cofactor 688372178921435155888793496849324584194432198409971495658274151894632617225103643105146985687985836240760486570576354987350338731097754818016545901 has 147 digits |
software ソフトウェア | GMP-ECM |
name 名前 | Bob Backstrom |
---|---|
date 日付 | May 25, 2024 14:52:09 UTC 2024 年 5 月 25 日 (土) 23 時 52 分 9 秒 (日本時間) |
composite number 合成数 | 688372178921435155888793496849324584194432198409971495658274151894632617225103643105146985687985836240760486570576354987350338731097754818016545901<147> |
prime factors 素因数 | 5483236100365463356612159703938141501259127131727741439394511496232153231<73> 125541225349671599637903420063506210190879856250981194042292994116903221571<75> |
factorization results 素因数分解の結果 | CADO: STA:Fri May 24 04:40:13 AM AEST 2024 (688372178921435155888793496849324584194432198409971495658274151894632617225103643105146985687985836240760486570576354987350338731097754818016545901 - C147) /home/bob/Downloads/Math/cado-nfs/cado-nfs.py -t 18 --no-colors --screenlog DEBUG 688372178921435155888793496849324584194432198409971495658274151894632617225103643105146985687985836240760486570576354987350338731097754818016545901 2>&1 | tee -a log-25 /home/bob/Downloads/Math/cado-nfs/cado-nfs.py:93: DeprecationWarning: 'locale.getdefaultlocale' is deprecated and slated for removal in Python 3.15. Use setlocale(), getencoding() and getlocale() instead. loc = locale.getdefaultlocale()[1] Debug:root: Looking for parameter file for c147 in directory /home/bob/Downloads/Math/cado-nfs/parameters/factor Info:root: Using default parameter file /home/bob/Downloads/Math/cado-nfs/parameters/factor/params.c148 Debug:Parameters: Reading parameter file /home/bob/Downloads/Math/cado-nfs/parameters/factor/params.c148 Info:root: No database exists yet Info:root: Created temporary directory /tmp/cado._tv28hs6 Info:Database: Opened connection to database /tmp/cado._tv28hs6/c148.db Info:root: Set tasks.threads=18 based on --server-threads 18 Info:root: tasks.threads = 18 [via tasks.threads] Info:root: tasks.polyselect.threads = 2 [via tasks.polyselect.threads] Info:root: tasks.sieve.las.threads = 2 [via tasks.sieve.las.threads] Info:root: tasks.linalg.bwc.threads = 18 [via tasks.threads] Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads] Info:root: slaves.scriptpath is /home/bob/Downloads/Math/cado-nfs/build/VM9 Info:root: Command line parameters: /home/bob/Downloads/Math/cado-nfs/cado-nfs.py -t 18 --no-colors --screenlog DEBUG 688372178921435155888793496849324584194432198409971495658274151894632617225103643105146985687985836240760486570576354987350338731097754818016545901 Debug:root: Root parameter dictionary: N = 688372178921435155888793496849324584194432198409971495658274151894632617225103643105146985687985836240760486570576354987350338731097754818016545901 name = c148 === Info:Polynomial Selection (root optimized): Best polynomial is: n: 688372178921435155888793496849324584194432198409971495658274151894632617225103643105146985687985836240760486570576354987350338731097754818016545901 skew: 867342.37 c0: -8467880177766368511061435329109705 c1: 16583418776936124788670145487 c2: 283603916827570563797802 c3: -51926098434949445 c4: -154989029579 c5: -36960 Y0: -27710943116862954950748134376 Y1: 915627930753728993293 # MurphyE (Bf=2.147e+09,Bg=1.074e+09,area=3.087e+14) = 6.932e-07 # f(x) = -36960*x^5-154989029579*x^4-51926098434949445*x^3+283603916827570563797802*x^2+16583418776936124788670145487*x-8467880177766368511061435329109705 # g(x) = 915627930753728993293*x-27710943116862954950748134376 === Debug:Command: Process with PID 990618 finished successfully Info:Square Root: finished Info:Square Root: Factors: 5483236100365463356612159703938141501259127131727741439394511496232153231 125541225349671599637903420063506210190879856250981194042292994116903221571 Debug:Square Root: Exit SqrtTask.run(sqrt) Info:Complete Factorization / Discrete logarithm: Square Root Info:Square Root: Total cpu/real time for sqrt: 2482.82/301.2 Info:HTTP server: Got notification to stop serving Workunits Info:Filtering - Merging: Total cpu/real time for merge: 221.32/35.5926 Info:Filtering - Merging: Total cpu/real time for replay: 41.08/36.3519 Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 4187.35 Info:Polynomial Selection (root optimized): Rootsieve time: 4186.74 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 512.6/467.561 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 467.2s Info:Linear Algebra: Total cpu/real time for bwc: 57503/7612.28 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 35179.99, WCT time 4593.71, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (76000 iterations) Info:Linear Algebra: Lingen CPU time 99.52, WCT time 100.48 Info:Linear Algebra: Mksol: CPU time 18310.12, WCT time 2423.46, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (36000 iterations) Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 117089 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 80624/43.480/54.703/65.470/2.263 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 68367/42.800/47.559/58.670/1.154 Info:Polynomial Selection (size optimized): Total time: 50849.2 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1498.78/989.53 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 840.8s Info:Filtering - Singleton removal: Total cpu/real time for purge: 679.85/519.112 Info:Generate Free Relations: Total cpu/real time for freerel: 856.08/101.094 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 119089636 Info:Lattice Sieving: Average J: 7950.98 for 541576 special-q, max bucket fill -bkmult 1.0,1s:1.146460 Info:Lattice Sieving: Total time: 1.05171e+06s Info:Quadratic Characters: Total cpu/real time for characters: 69.54/18.9521 Info:Square Root: Total cpu/real time for sqrt: 2482.82/301.2 Info:Generate Factor Base: Total cpu/real time for makefb: 6.51/1.18903 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 1.11438e+06/134324 [1d 13:18:44] Info:root: Cleaning up computation data in /tmp/cado._tv28hs6 5483236100365463356612159703938141501259127131727741439394511496232153231 125541225349671599637903420063506210190879856250981194042292994116903221571 END:Sat May 25 05:58:58 PM AEST 2024 (688372178921435155888793496849324584194432198409971495658274151894632617225103643105146985687985836240760486570576354987350338731097754818016545901 - C147) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
20 | 11e3 | 74 | Makoto Kamada | January 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間) | |
25 | 5e4 | 214 | Makoto Kamada | January 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間) | |
30 | 25e4 | 0 | - | - | |
35 | 1e6 | 904 | Ignacio Santos | April 28, 2021 16:32:18 UTC 2021 年 4 月 29 日 (木) 1 時 32 分 18 秒 (日本時間) | |
40 | 3e6 | 2110 | 610 | Marlon Trifunovic | March 2, 2022 10:49:20 UTC 2022 年 3 月 2 日 (水) 19 時 49 分 20 秒 (日本時間) |
1500 | Dmitry Domanov | April 28, 2024 16:14:21 UTC 2024 年 4 月 29 日 (月) 1 時 14 分 21 秒 (日本時間) | |||
45 | 11e6 | 5980 | 1500 | Dmitry Domanov | April 28, 2024 16:36:10 UTC 2024 年 4 月 29 日 (月) 1 時 36 分 10 秒 (日本時間) |
4480 | Ignacio Santos | May 9, 2024 09:11:09 UTC 2024 年 5 月 9 日 (木) 18 時 11 分 9 秒 (日本時間) | |||
50 | 43e6 | 6454 | Ignacio Santos | May 10, 2024 08:41:27 UTC 2024 年 5 月 10 日 (金) 17 時 41 分 27 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
20 | 11e3 | 74 | Makoto Kamada | January 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間) | |
25 | 5e4 | 214 | Makoto Kamada | January 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間) | |
30 | 25e4 | 0 | - | - | |
35 | 1e6 | 0 | - | - | |
40 | 3e6 | 1200 | Dmitry Domanov | January 13, 2021 10:47:01 UTC 2021 年 1 月 13 日 (水) 19 時 47 分 1 秒 (日本時間) | |
45 | 11e6 | 2000 | Dmitry Domanov | April 22, 2021 23:24:52 UTC 2021 年 4 月 23 日 (金) 8 時 24 分 52 秒 (日本時間) | |
50 | 43e6 | 640 / 7059 | Dmitry Domanov | April 29, 2021 21:01:53 UTC 2021 年 4 月 30 日 (金) 6 時 1 分 53 秒 (日本時間) |