11×10102+439

c95

name 名前 Robert Backstrom February 1, 2008 16:00:10 UTC 2008 年 2 月 2 日 (土) 1 時 0 分 10 秒 (日本時間) `10265159244455873112829444643247917139231437952773602587564446967732570287092119648243713514527<95>` ```15986555733012893316173285293<29> 642111998099621810502419011210481164093871271217524484541221231739<66>``` ```GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM] Input number is 10265159244455873112829444643247917139231437952773602587564446967732570287092119648243713514527 (95 digits) Using B1=514000, B2=325250815, polynomial Dickson(3), sigma=355637752 Step 1 took 3969ms Step 2 took 2640ms ********** Factor found in step 2: 15986555733012893316173285293 Found probable prime factor of 29 digits: 15986555733012893316173285293 Probable prime cofactor 642111998099621810502419011210481164093871271217524484541221231739 has 66 digits```

11×10108+439

c102

name 名前 Robert Backstrom February 2, 2008 01:30:36 UTC 2008 年 2 月 2 日 (土) 10 時 30 分 36 秒 (日本時間) `256238648191114710565285519387936251830970731466532285801786220981002210384462564243979166307059018353<102>` ```52998473697593985191483510398970980470758279<44> 4834830709525647808402348659617169367180675927813342017607<58>``` ```Number: n N=256238648191114710565285519387936251830970731466532285801786220981002210384462564243979166307059018353 ( 102 digits) SNFS difficulty: 109 digits. Divisors found: r1=52998473697593985191483510398970980470758279 (pp44) r2=4834830709525647808402348659617169367180675927813342017607 (pp58) Version: GGNFS-0.77.1-20051202-athlon Total time: 0.70 hours. Scaled time: 1.29 units (timescale=1.829). Factorization parameters were as follows: name: KA_1_2_107_7 n: 256238648191114710565285519387936251830970731466532285801786220981002210384462564243979166307059018353 skew: 0.33 deg: 5 c5: 11000 c0: 43 m: 1000000000000000000000 type: snfs rlim: 1000000 alim: 1000000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 20000 Factor base limits: 1000000/1000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved algebraic special-q in [100000, 160001) Primes: RFBsize:78498, AFBsize:78512, largePrimes:3833985 encountered Relations: rels:3288688, finalFF:209248 Max relations in full relation-set: 48 Initial matrix: 157077 x 209248 with sparse part having weight 8669312. Pruned matrix : 107179 x 108028 with weight 3135973. Total sieving time: 0.60 hours. Total relation processing time: 0.05 hours. Matrix solve time: 0.03 hours. Total square root time: 0.03 hours, sqrts: 2. Prototype def-par.txt line would be: snfs,109,5,0,0,0,0,0,0,0,0,1000000,1000000,28,28,48,48,2.5,2.5,50000 total time: 0.70 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 X2 6000+```

11×10110+439

c106

name 名前 Robert Backstrom February 2, 2008 02:12:14 UTC 2008 年 2 月 2 日 (土) 11 時 12 分 14 秒 (日本時間) `2351467422556558135756627397160709972145799530989134082810131831814499148127483737465075364530892937688251<106>` ```81184110247381809060406319688698040691781701091<47> 28964626395377574001973137610529281064629935087612238738761<59>``` ```Number: n N=2351467422556558135756627397160709972145799530989134082810131831814499148127483737465075364530892937688251 ( 106 digits) SNFS difficulty: 111 digits. Divisors found: Sat Feb 2 12:50:25 2008 prp47 factor: 81184110247381809060406319688698040691781701091 Sat Feb 2 12:50:25 2008 prp59 factor: 28964626395377574001973137610529281064629935087612238738761 Sat Feb 2 12:50:25 2008 elapsed time 00:04:27 (Msieve 1.33) Version: GGNFS-0.77.1-20051202-k8 Total time: 0.67 hours. Scaled time: 0.56 units (timescale=0.836). Factorization parameters were as follows: name: KA_1_2_109_7 n: 2351467422556558135756627397160709972145799530989134082810131831814499148127483737465075364530892937688251 type: snfs deg: 5 c5: 11 c0: 43 skew: 1.31 m: 10000000000000000000000 rlim: 1000000 alim: 1000000 lbpr: 28 lbpa: 28 mbpr: 48 mbpa: 48 rlambda: 2.5 alambda: 2.5 qintsize: 20000 Factor base limits: 1000000/1000000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved algebraic special-q in [100000, 160001) Primes: RFBsize:78498, AFBsize:78392, largePrimes:1545266 encountered Relations: rels:1538936, finalFF:190994 Max relations in full relation-set: 28 Initial matrix: 156955 x 190994 with sparse part having weight 6912098. Pruned matrix : 119845 x 120693 with weight 3158427. Total sieving time: 0.60 hours. Total relation processing time: 0.03 hours. Total matrix solve time: 0.04 hours, sqrts: 32. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,111,5,0,0,0,0,0,0,0,0,1000000,1000000,25,25,46,46,2.5,2.5,50000 total time: 0.67 hours. --------- CPU info (if available) ---------- CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03 Total of 2 processors activated (12009.47 BogoMIPS).```

11×10112+439

c98

name 名前 Sinkiti Sibata February 2, 2008 05:21:45 UTC 2008 年 2 月 2 日 (土) 14 時 21 分 45 秒 (日本時間) `51105806753981743159739057597763445623761010676640079468814415944058025931144285169076386486598523<98>` ```143286201861700132912700962874088411962741<42> 356669421688691816769551532579943147017949354032325568303<57>``` ```Number: 12227_112 N=51105806753981743159739057597763445623761010676640079468814415944058025931144285169076386486598523 ( 98 digits) SNFS difficulty: 113 digits. Divisors found: r1=143286201861700132912700962874088411962741 (pp42) r2=356669421688691816769551532579943147017949354032325568303 (pp57) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 2.46 hours. Scaled time: 1.66 units (timescale=0.676). Factorization parameters were as follows: name: 12227_112 n: 51105806753981743159739057597763445623761010676640079468814415944058025931144285169076386486598523 m: 10000000000000000000000 c5: 1100 c0: 43 skew: 0.52 type: snfs Factor base limits: 600000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved algebraic special-q in [400000, 550001) Primes: RFBsize:49098, AFBsize:63799, largePrimes:2296912 encountered Relations: rels:2612701, finalFF:434420 Max relations in full relation-set: 28 Initial matrix: 112964 x 434420 with sparse part having weight 37514997. Pruned matrix : 67377 x 68005 with weight 5864456. Total sieving time: 2.26 hours. Total relation processing time: 0.08 hours. Matrix solve time: 0.09 hours. Time per square root: 0.04 hours. Prototype def-par.txt line would be: snfs,113,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000 total time: 2.46 hours. --------- CPU info (if available) ----------``` `Pentium 4 2.4GHz, Windows XP and Cygwin)`

11×10119+439

c117

name 名前 Jo Yeong Uk February 2, 2008 02:16:33 UTC 2008 年 2 月 2 日 (土) 11 時 16 分 33 秒 (日本時間) `133284866109293590209620743971889010056948988246698170362292499697079849751605476796316490972979522597843208530231431<117>` ```7726724306485600711748047366001<31> 125939710672765832787789653955253825423<39> 136969141012293087278356134180738215385520447897<48>``` ```Number: 12227_119 N=133284866109293590209620743971889010056948988246698170362292499697079849751605476796316490972979522597843208530231431 ( 117 digits) SNFS difficulty: 121 digits. Divisors found: r1=7726724306485600711748047366001 (pp31) r2=125939710672765832787789653955253825423 (pp39) r3=136969141012293087278356134180738215385520447897 (pp48) Version: GGNFS-0.77.1-20050930-nocona Total time: 1.08 hours. Scaled time: 2.01 units (timescale=1.860). Factorization parameters were as follows: n: 133284866109293590209620743971889010056948988246698170362292499697079849751605476796316490972979522597843208530231431 m: 1000000000000000000000000 c5: 11 c0: 430 skew: 2.08 type: snfs Factor base limits: 600000/600000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 45/45 Sieved algebraic special-q in [300000, 480001) Primes: RFBsize:49098, AFBsize:49742, largePrimes:1888339 encountered Relations: rels:1934625, finalFF:187269 Max relations in full relation-set: 28 Initial matrix: 98905 x 187269 with sparse part having weight 16529964. Pruned matrix : 80942 x 81500 with weight 4822120. Total sieving time: 1.03 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.02 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,121,5,0,0,0,0,0,0,0,0,600000,600000,25,25,45,45,2.4,2.4,30000 total time: 1.08 hours. --------- CPU info (if available) ---------- Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory for crash kernel (0x0 to 0x0) notwithin permissible range Memory: 8178280k/8912896k available (2434k kernel code, 208060k reserved, 1235k data, 192k init) Calibrating delay using timer specific routine.. 4812.90 BogoMIPS (lpj=2406453) Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405118) Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405123) Calibrating delay using timer specific routine.. 4810.22 BogoMIPS (lpj=2405114)``` `Core 2 Quad Q6600`

11×10120+439

c117

name 名前 Robert Backstrom February 2, 2008 08:10:52 UTC 2008 年 2 月 2 日 (土) 17 時 10 分 52 秒 (日本時間) `138621098131135558832054238655123309767746651040288331884112761962370672816402656484316913034163799730318954544881731<117>` ```10360202665625776591605886682977757294938234539486161<53> 13380153130697716154258396236743209165877691612680584935690556371<65>``` ```Number: n N=138621098131135558832054238655123309767746651040288331884112761962370672816402656484316913034163799730318954544881731 ( 117 digits) SNFS difficulty: 121 digits. Divisors found: r1=10360202665625776591605886682977757294938234539486161 (pp53) r2=13380153130697716154258396236743209165877691612680584935690556371 (pp65) Version: GGNFS-0.77.1-20051202-athlon Total time: 1.28 hours. Scaled time: 2.34 units (timescale=1.829). Factorization parameters were as follows: name: KA_1_2_119_7 n: 138621098131135558832054238655123309767746651040288331884112761962370672816402656484316913034163799730318954544881731 skew: 1.31 deg: 5 c5: 11 c0: 43 m: 1000000000000000000000000 type: snfs rlim: 1500000 alim: 1500000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 20000 Factor base limits: 1500000/1500000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved algebraic special-q in [100000, 220001) Primes: RFBsize:114155, AFBsize:113573, largePrimes:4315307 encountered Relations: rels:3788011, finalFF:272120 Max relations in full relation-set: 48 Initial matrix: 227793 x 272120 with sparse part having weight 10596266. Pruned matrix : 179876 x 181078 with weight 5024465. Total sieving time: 1.10 hours. Total relation processing time: 0.06 hours. Matrix solve time: 0.09 hours. Total square root time: 0.03 hours, sqrts: 2. Prototype def-par.txt line would be: snfs,121,5,0,0,0,0,0,0,0,0,1500000,1500000,28,28,48,48,2.5,2.5,50000 total time: 1.28 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 X2 6000+```

11×10122+439

c89

name 名前 Robert Backstrom February 1, 2008 17:05:06 UTC 2008 年 2 月 2 日 (土) 2 時 5 分 6 秒 (日本時間) `22138953363959745421379839604225645580332475271142641985681186299008195676740101563880539<89>` ```202819334939982598056638072887<30> 109156029776505315605230350032970862543603279732264658041597<60>``` ```GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM] Input number is 22138953363959745421379839604225645580332475271142641985681186299008195676740101563880539 (89 digits) Using B1=894000, B2=715666600, polynomial Dickson(3), sigma=214239365 Step 1 took 6906ms Step 2 took 5203ms ********** Factor found in step 2: 202819334939982598056638072887 Found probable prime factor of 30 digits: 202819334939982598056638072887 Probable prime cofactor 109156029776505315605230350032970862543603279732264658041597 has 60 digits```

11×10123+439

c103

name 名前 Robert Backstrom February 2, 2008 02:52:17 UTC 2008 年 2 月 2 日 (土) 11 時 52 分 17 秒 (日本時間) `2374938330216790235788393155659587198612028752171208401458971201158981245757458030675331518355144622279<103>` ```479001684843585031175534119002948761<36> 4958100159903010190304866660512588272578698548918562249510374124639<67>``` ```GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM] Input number is 2374938330216790235788393155659587198612028752171208401458971201158981245757458030675331518355144622279 (103 digits) Using B1=810000, B2=621803662, polynomial Dickson(3), sigma=1960967429 Step 1 took 7938ms Step 2 took 5047ms ********** Factor found in step 2: 479001684843585031175534119002948761 Found probable prime factor of 36 digits: 479001684843585031175534119002948761 Probable prime cofactor 4958100159903010190304866660512588272578698548918562249510374124639 has 67 digits```

11×10125+439

c94

name 名前 Sinkiti Sibata February 2, 2008 21:47:52 UTC 2008 年 2 月 3 日 (日) 6 時 47 分 52 秒 (日本時間) `4818502846890221045374101350076711059884336292143407476048410706538319861125528494833125036863<94>` ```26911423347030094859147806513779908366419<41> 179050464360592207024627576920634186756605854426645477<54>``` ```Sat Feb 02 08:18:48 2008 Msieve v. 1.30 Sat Feb 02 08:18:49 2008 random seeds: 9e0bea2a 4bbaab61 Sat Feb 02 08:18:49 2008 factoring 4818502846890221045374101350076711059884336292143407476048410706538319861125528494833125036863 (94 digits) Sat Feb 02 08:18:49 2008 commencing quadratic sieve (94-digit input) Sat Feb 02 08:18:50 2008 using multiplier of 2 Sat Feb 02 08:18:50 2008 using 64kb Pentium 2 sieve core Sat Feb 02 08:18:50 2008 sieve interval: 18 blocks of size 65536 Sat Feb 02 08:18:50 2008 processing polynomials in batches of 6 Sat Feb 02 08:18:50 2008 using a sieve bound of 2057791 (76471 primes) Sat Feb 02 08:18:50 2008 using large prime bound of 283975158 (28 bits) Sat Feb 02 08:18:50 2008 using double large prime bound of 1644010566805608 (42-51 bits) Sat Feb 02 08:18:50 2008 using trial factoring cutoff of 51 bits Sat Feb 02 08:18:50 2008 polynomial 'A' values have 12 factors Sun Feb 03 06:22:02 2008 76863 relations (18980 full + 57883 combined from 1103923 partial), need 76567 Sun Feb 03 06:22:22 2008 begin with 1122903 relations Sun Feb 03 06:23:45 2008 reduce to 199427 relations in 10 passes Sun Feb 03 06:23:46 2008 attempting to read 199427 relations Sun Feb 03 06:24:11 2008 recovered 199427 relations Sun Feb 03 06:24:11 2008 recovered 181755 polynomials Sun Feb 03 06:24:36 2008 attempting to build 76863 cycles Sun Feb 03 06:24:36 2008 found 76863 cycles in 6 passes Sun Feb 03 06:24:41 2008 distribution of cycle lengths: Sun Feb 03 06:24:41 2008 length 1 : 18980 Sun Feb 03 06:24:41 2008 length 2 : 13444 Sun Feb 03 06:24:41 2008 length 3 : 13097 Sun Feb 03 06:24:41 2008 length 4 : 10345 Sun Feb 03 06:24:41 2008 length 5 : 7787 Sun Feb 03 06:24:41 2008 length 6 : 5269 Sun Feb 03 06:24:42 2008 length 7 : 3401 Sun Feb 03 06:24:42 2008 length 9+: 4540 Sun Feb 03 06:24:42 2008 largest cycle: 20 relations Sun Feb 03 06:24:43 2008 matrix is 76471 x 76863 with weight 4943542 (avg 64.32/col) Sun Feb 03 06:24:48 2008 filtering completed in 3 passes Sun Feb 03 06:24:48 2008 matrix is 72682 x 72746 with weight 4694355 (avg 64.53/col) Sun Feb 03 06:24:51 2008 saving the first 48 matrix rows for later Sun Feb 03 06:24:52 2008 matrix is 72634 x 72746 with weight 3670006 (avg 50.45/col) Sun Feb 03 06:24:52 2008 matrix includes 64 packed rows Sun Feb 03 06:24:52 2008 using block size 10922 for processor cache size 256 kB Sun Feb 03 06:24:55 2008 commencing Lanczos iteration Sun Feb 03 06:29:16 2008 lanczos halted after 1149 iterations (dim = 72632) Sun Feb 03 06:29:17 2008 recovered 16 nontrivial dependencies Sun Feb 03 06:32:11 2008 prp41 factor: 26911423347030094859147806513779908366419 Sun Feb 03 06:32:11 2008 prp54 factor: 179050464360592207024627576920634186756605854426645477 Sun Feb 03 06:32:11 2008 elapsed time 22:13:22``` `Pentium3 750MHz, Windows Me`

11×10126+439

c96

name 名前 Robert Backstrom February 2, 2008 12:38:29 UTC 2008 年 2 月 2 日 (土) 21 時 38 分 29 秒 (日本時間) `551392051907478892905276839856959560249645709930693432714313355558298115017072124938461681767467<96>` ```1745478423811049629208332776515371425419<40> 315897374831811624279270914479096464615835238536442426593<57>``` ```Number: n N=551392051907478892905276839856959560249645709930693432714313355558298115017072124938461681767467 ( 96 digits) SNFS difficulty: 127 digits. Divisors found: r1=1745478423811049629208332776515371425419 (pp40) r2=315897374831811624279270914479096464615835238536442426593 (pp57) Version: GGNFS-0.77.1-20051202-athlon Total time: 2.72 hours. Scaled time: 3.93 units (timescale=1.446). Factorization parameters were as follows: name: KA_1_2_125_7 n: 551392051907478892905276839856959560249645709930693432714313355558298115017072124938461681767467 skew: 0.83 deg: 5 c5: 110 c0: 43 m: 10000000000000000000000000 type: snfs rlim: 1500000 alim: 1500000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 50000 Factor base limits: 1500000/1500000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved algebraic special-q in [100000, 400001) Primes: RFBsize:114155, AFBsize:114453, largePrimes:4691482 encountered Relations: rels:4120461, finalFF:271046 Max relations in full relation-set: 28 Initial matrix: 228675 x 271046 with sparse part having weight 12982612. Pruned matrix : 188205 x 189412 with weight 6833727. Total sieving time: 2.23 hours. Total relation processing time: 0.10 hours. Matrix solve time: 0.35 hours. Total square root time: 0.05 hours, sqrts: 2. Prototype def-par.txt line would be: snfs,127,5,0,0,0,0,0,0,0,0,1500000,1500000,28,28,48,48,2.5,2.5,50000 total time: 2.72 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3400+```

11×10129+439

c115

name 名前 Robert Backstrom February 2, 2008 05:58:46 UTC 2008 年 2 月 2 日 (土) 14 時 58 分 46 秒 (日本時間) `1209184384154813126811139566254392827852082625059530960400249371035577422425807826050316547803032649271654458950157<115>` ```137168336280987058909192029624923<33> 8815331708024940951855441988686640906430791155889863737109891988891471546179563959<82>``` ```GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM] Input number is 1209184384154813126811139566254392827852082625059530960400249371035577422425807826050316547803032649271654458950157 (115 digits) Using B1=944000, B2=773367344, polynomial Dickson(3), sigma=1778670717 Step 1 took 9859ms Step 2 took 6953ms ********** Factor found in step 2: 137168336280987058909192029624923 Found probable prime factor of 33 digits: 137168336280987058909192029624923 Probable prime cofactor 8815331708024940951855441988686640906430791155889863737109891988891471546179563959 has 82 digits```

11×10131+439

c129

name 名前 Robert Backstrom February 2, 2008 13:13:45 UTC 2008 年 2 月 2 日 (土) 22 時 13 分 45 秒 (日本時間) `918964076858813700918964076858813700918964076858813700918964076858813700918964076858813700918964076858813700918964076858813700919<129>` ```32415240075876389291454435280241<32> 772883054289567450015728285748118755690584982373<48> 36680521954763531909701891063601113368415398966683<50>``` ```GMP-ECM 6.1.3 [powered by GMP 4.2.1] [ECM] Input number is 918964076858813700918964076858813700918964076858813700918964076858813700918964076858813700918964076858813700918964076858813700919 (129 digits) Using B1=1220000, B2=1426326730, polynomial Dickson(6), sigma=602248389 Step 1 took 12051ms Step 2 took 5386ms ********** Factor found in step 2: 32415240075876389291454435280241 Found probable prime factor of 32 digits: 32415240075876389291454435280241 Composite cofactor 28349753841333173597883662813592007973807145936190394697664372879321221423868495390013541969278759 has 98 digits Number: n N=28349753841333173597883662813592007973807145936190394697664372879321221423868495390013541969278759 ( 98 digits) SNFS difficulty: 132 digits. Divisors found: Sun Feb 3 00:04:25 2008 prp48 factor: 772883054289567450015728285748118755690584982373 Sun Feb 3 00:04:25 2008 prp50 factor: 36680521954763531909701891063601113368415398966683 Sun Feb 3 00:04:25 2008 elapsed time 00:05:46 (Msieve 1.33) Version: GGNFS-0.77.1-20050930-k8 Total time: 3.06 hours. Scaled time: 2.56 units (timescale=0.837). Factorization parameters were as follows: name: KA_1_2_130_7 n: 28349753841333173597883662813592007973807145936190394697664372879321221423868495390013541969278759 type: snfs deg: 5 c5: 110 c0: 43 skew: 0.83 m: 100000000000000000000000000 rlim: 1500000 alim: 1500000 lbpr: 28 lbpa: 28 mbpr: 48 mbpa: 48 rlambda: 2.5 alambda: 2.5 qintsize: 50000 Factor base limits: 1500000/1500000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 44/44 Sieved special-q in [100000, 550337) Primes: RFBsize:114155, AFBsize:114453, largePrimes:1541470 encountered Relations: rels:1615701, finalFF:252787 Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Total sieving time: 3.00 hours. Total relation processing time: 0.06 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,132,5,0,0,0,0,0,0,0,0,1500000,1500000,25,25,44,44,2.5,2.5,50000 total time: 3.06 hours. --------- CPU info (if available) ---------- CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03 Total of 2 processors activated (12009.47 BogoMIPS).```

11×10132+439

c129

name 名前 Robert Backstrom February 2, 2008 15:48:20 UTC 2008 年 2 月 3 日 (日) 0 時 48 分 20 秒 (日本時間) `545391442312459715404829193316475779661857305766274976449005900143785016609648470424909514601616341910853289702017948336556100947<129>` ```111112771172331750872514090492110122437339906630826550009<57> 4908449645869942293694487080630525727438428859396006401801847501095827883<73>``` ```Number: n N=545391442312459715404829193316475779661857305766274976449005900143785016609648470424909514601616341910853289702017948336556100947 ( 129 digits) SNFS difficulty: 133 digits. Divisors found: r1=111112771172331750872514090492110122437339906630826550009 (pp57) r2=4908449645869942293694487080630525727438428859396006401801847501095827883 (pp73) Version: GGNFS-0.77.1-20060513-athlon-xp Total time: 5.51 hours. Scaled time: 7.21 units (timescale=1.309). Factorization parameters were as follows: name: KA_1_2_131_7 n: 545391442312459715404829193316475779661857305766274976449005900143785016609648470424909514601616341910853289702017948336556100947 skew: 0.52 deg: 5 c5: 1100 c0: 43 m: 100000000000000000000000000 type: snfs rlim: 2000000 alim: 2000000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 50000 Factor base limits: 2000000/2000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved algebraic special-q in [100000, 500001) Primes: RFBsize:148933, AFBsize:148846, largePrimes:5439382 encountered Relations: rels:4852705, finalFF:336542 Max relations in full relation-set: 28 Initial matrix: 297846 x 336542 with sparse part having weight 16711281. Pruned matrix : 259856 x 261409 with weight 10061932. Total sieving time: 4.37 hours. Total relation processing time: 0.14 hours. Matrix solve time: 0.95 hours. Total square root time: 0.06 hours, sqrts: 1. Prototype def-par.txt line would be: snfs,133,5,0,0,0,0,0,0,0,0,2000000,2000000,28,28,48,48,2.5,2.5,50000 total time: 5.51 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3200+```

11×10133+439

c106

name 名前 Robert Backstrom February 3, 2008 01:49:07 UTC 2008 年 2 月 3 日 (日) 10 時 49 分 7 秒 (日本時間) `1744355443597675135882479103597911072800396043417938417736429887625152088132861173319540054833362331579867<106>` ```3516588143890561652644886771677592087<37> 496036320496666194477662303711920463713480656308118096409742336798941<69>``` ```Number: n N=1744355443597675135882479103597911072800396043417938417736429887625152088132861173319540054833362331579867 ( 106 digits) SNFS difficulty: 134 digits. Divisors found: r1=3516588143890561652644886771677592087 (pp37) r2=496036320496666194477662303711920463713480656308118096409742336798941 (pp69) Version: GGNFS-0.77.1-20060513-athlon-xp Total time: 5.91 hours. Scaled time: 7.74 units (timescale=1.309). Factorization parameters were as follows: name: KA_1_2_132_7 n: 1744355443597675135882479103597911072800396043417938417736429887625152088132861173319540054833362331579867 skew: 0.33 deg: 5 c5: 11000 c0: 43 m: 100000000000000000000000000 type: snfs rlim: 2000000 alim: 2000000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 50000 Factor base limits: 2000000/2000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved algebraic special-q in [100000, 550001) Primes: RFBsize:148933, AFBsize:149056, largePrimes:5686122 encountered Relations: rels:5129599, finalFF:373496 Max relations in full relation-set: 28 Initial matrix: 298056 x 373496 with sparse part having weight 20625775. Pruned matrix : 230995 x 232549 with weight 9849788. Total sieving time: 5.01 hours. Total relation processing time: 0.15 hours. Matrix solve time: 0.68 hours. Total square root time: 0.06 hours, sqrts: 1. Prototype def-par.txt line would be: snfs,134,5,0,0,0,0,0,0,0,0,2000000,2000000,28,28,48,48,2.5,2.5,75000 total time: 5.91 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3200+```

11×10136+439

c121

name 名前 Robert Backstrom February 2, 2008 14:15:14 UTC 2008 年 2 月 2 日 (土) 23 時 15 分 14 秒 (日本時間) `1041273133644800638436966964039937301980376146456499962236974820226681909664960757201914741690067877385787858958446802111<121>` ```15069402715240311151513397026733944991125470105653<50> 69098500671942225559710465911019554432414961727090137082577263863265187<71>``` ```Number: n N=1041273133644800638436966964039937301980376146456499962236974820226681909664960757201914741690067877385787858958446802111 ( 121 digits) SNFS difficulty: 137 digits. Divisors found: r1=15069402715240311151513397026733944991125470105653 (pp50) r2=69098500671942225559710465911019554432414961727090137082577263863265187 (pp71) Version: GGNFS-0.77.1-20051202-athlon Total time: 3.83 hours. Scaled time: 7.01 units (timescale=1.829). Factorization parameters were as follows: name: KA_1_2_135_7 n: 1041273133644800638436966964039937301980376146456499962236974820226681909664960757201914741690067877385787858958446802111 skew: 0.83 deg: 5 c5: 110 c0: 43 m: 1000000000000000000000000000 type: snfs rlim: 2000000 alim: 2000000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 50000 Factor base limits: 2000000/2000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved algebraic special-q in [100000, 650001) Primes: RFBsize:148933, AFBsize:149531, largePrimes:5785695 encountered Relations: rels:5177843, finalFF:352761 Max relations in full relation-set: 48 Initial matrix: 298531 x 352761 with sparse part having weight 20544999. Pruned matrix : 252227 x 253783 with weight 11036455. Total sieving time: 3.39 hours. Total relation processing time: 0.10 hours. Matrix solve time: 0.29 hours. Total square root time: 0.06 hours, sqrts: 2. Prototype def-par.txt line would be: snfs,137,5,0,0,0,0,0,0,0,0,2000000,2000000,28,28,48,48,2.5,2.5,75000 total time: 3.83 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 X2 6000+```

11×10137+439

c137

name 名前 Robert Backstrom February 2, 2008 17:47:54 UTC 2008 年 2 月 3 日 (日) 2 時 47 分 54 秒 (日本時間) `17460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317461<137>` ```826947682191349154287338776865934602857<39> 21114174253501663398552547882800994034080029605303708859438928706621453258063526161207848053837773<98>``` ```Number: n N=17460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317461 ( 137 digits) SNFS difficulty: 138 digits. Divisors found: r1=826947682191349154287338776865934602857 (pp39) r2=21114174253501663398552547882800994034080029605303708859438928706621453258063526161207848053837773 (pp98) Version: GGNFS-0.77.1-20051202-athlon Total time: 7.20 hours. Scaled time: 12.62 units (timescale=1.753). Factorization parameters were as follows: name: KA_1_2_136_7 n: 17460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317461 type: snfs skew: 0.52 deg: 5 c5: 1100 c0: 43 m: 1000000000000000000000000000 rlim: 1500000 alim: 1500000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 qintsize: 50000 Factor base limits: 1500000/1500000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved special-q in [100000, 1000000) Primes: RFBsize:114155, AFBsize:114198, largePrimes:5398021 encountered Relations: rels:4770513, finalFF:299953 Max relations in full relation-set: 28 Initial matrix: 228420 x 299953 with sparse part having weight 19344439. Pruned matrix : 185538 x 186744 with weight 9834435. Total sieving time: 6.31 hours. Total relation processing time: 0.15 hours. Matrix solve time: 0.67 hours. Total square root time: 0.07 hours, sqrts: 2. Prototype def-par.txt line would be: snfs,138,5,0,0,0,0,0,0,0,0,1500000,1500000,28,28,48,48,2.3,2.3,75000 total time: 7.20 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3200+```

11×10138+439

c95

name 名前 Sinkiti Sibata February 2, 2008 12:26:47 UTC 2008 年 2 月 2 日 (土) 21 時 26 分 47 秒 (日本時間) `31952550845804420141668463672712528275349504043112878808043841079538101373805116809050521099907<95>` ```7463409413579206909424210728917778139<37> 4281227127600524118339409264146075718886687783760343681913<58>``` ```Sat Feb 2 14:26:10 2008 Msieve v. 1.33 Sat Feb 2 14:26:10 2008 random seeds: 518df1e8 4f66404b Sat Feb 2 14:26:10 2008 factoring 31952550845804420141668463672712528275349504043112878808043841079538101373805116809050521099907 (95 digits) Sat Feb 2 14:26:11 2008 searching for 15-digit factors Sat Feb 2 14:26:13 2008 commencing quadratic sieve (95-digit input) Sat Feb 2 14:26:14 2008 using multiplier of 3 Sat Feb 2 14:26:14 2008 using 64kb Pentium 4 sieve core Sat Feb 2 14:26:14 2008 sieve interval: 18 blocks of size 65536 Sat Feb 2 14:26:14 2008 processing polynomials in batches of 6 Sat Feb 2 14:26:14 2008 using a sieve bound of 2119673 (78824 primes) Sat Feb 2 14:26:14 2008 using large prime bound of 309472258 (28 bits) Sat Feb 2 14:26:14 2008 using double large prime bound of 1919194993237322 (43-51 bits) Sat Feb 2 14:26:14 2008 using trial factoring cutoff of 51 bits Sat Feb 2 14:26:14 2008 polynomial 'A' values have 12 factors Sat Feb 2 20:59:00 2008 79041 relations (18875 full + 60166 combined from 1164620 partial), need 78920 Sat Feb 2 20:59:05 2008 begin with 1183495 relations Sat Feb 2 20:59:06 2008 reduce to 207464 relations in 11 passes Sat Feb 2 20:59:06 2008 attempting to read 207464 relations Sat Feb 2 20:59:13 2008 recovered 207464 relations Sat Feb 2 20:59:13 2008 recovered 192697 polynomials Sat Feb 2 20:59:13 2008 attempting to build 79041 cycles Sat Feb 2 20:59:13 2008 found 79041 cycles in 5 passes Sat Feb 2 20:59:13 2008 distribution of cycle lengths: Sat Feb 2 20:59:13 2008 length 1 : 18875 Sat Feb 2 20:59:13 2008 length 2 : 13735 Sat Feb 2 20:59:13 2008 length 3 : 13435 Sat Feb 2 20:59:13 2008 length 4 : 10830 Sat Feb 2 20:59:13 2008 length 5 : 8231 Sat Feb 2 20:59:13 2008 length 6 : 5366 Sat Feb 2 20:59:13 2008 length 7 : 3632 Sat Feb 2 20:59:13 2008 length 9+: 4937 Sat Feb 2 20:59:13 2008 largest cycle: 19 relations Sat Feb 2 20:59:14 2008 matrix is 78824 x 79041 (21.5 MB) with weight 5328815 (67.42/col) Sat Feb 2 20:59:14 2008 sparse part has weight 5328815 (67.42/col) Sat Feb 2 20:59:15 2008 filtering completed in 3 passes Sat Feb 2 20:59:15 2008 matrix is 75388 x 75452 (20.7 MB) with weight 5113466 (67.77/col) Sat Feb 2 20:59:15 2008 sparse part has weight 5113466 (67.77/col) Sat Feb 2 20:59:16 2008 saving the first 48 matrix rows for later Sat Feb 2 20:59:16 2008 matrix is 75340 x 75452 (14.2 MB) with weight 4180469 (55.41/col) Sat Feb 2 20:59:16 2008 sparse part has weight 3274785 (43.40/col) Sat Feb 2 20:59:16 2008 matrix includes 64 packed rows Sat Feb 2 20:59:16 2008 using block size 21845 for processor cache size 512 kB Sat Feb 2 20:59:17 2008 commencing Lanczos iteration Sat Feb 2 20:59:17 2008 memory use: 13.0 MB Sat Feb 2 21:00:18 2008 lanczos halted after 1193 iterations (dim = 75337) Sat Feb 2 21:00:18 2008 recovered 16 nontrivial dependencies Sat Feb 2 21:00:22 2008 prp37 factor: 7463409413579206909424210728917778139 Sat Feb 2 21:00:22 2008 prp58 factor: 4281227127600524118339409264146075718886687783760343681913 Sat Feb 2 21:00:22 2008 elapsed time 06:34:12``` `Pentium 4 2.4GHz, Windows XP and Cygwin)`

11×10142+439

c132

name 名前 Robert Backstrom February 3, 2008 08:16:45 UTC 2008 年 2 月 3 日 (日) 17 時 16 分 45 秒 (日本時間) `890288968133139258467427941637942626811916485305684466174890492674520641988294022763275638082211998002722782842984474256989590786069<132>` ```3068600121073799335852157386784751919947571513958188339<55> 290128701364190538984568387515170669387068553760927649832295688847493293426071<78>``` ```Number: n N=890288968133139258467427941637942626811916485305684466174890492674520641988294022763275638082211998002722782842984474256989590786069 ( 132 digits) SNFS difficulty: 143 digits. Divisors found: Sun Feb 3 19:04:45 2008 prp55 factor: 3068600121073799335852157386784751919947571513958188339 Sun Feb 3 19:04:45 2008 prp78 factor: 290128701364190538984568387515170669387068553760927649832295688847493293426071 Sun Feb 3 19:04:45 2008 elapsed time 00:16:14 (Msieve 1.33) Version: GGNFS-0.77.1-20051202-k8 Total time: 10.62 hours. Scaled time: 8.91 units (timescale=0.839). Factorization parameters were as follows: name: KA_1_2_141_7 n: 890288968133139258467427941637942626811916485305684466174890492674520641988294022763275638082211998002722782842984474256989590786069 type: snfs deg: 5 c5: 1100 c0: 43 skew: 0.52 m: 10000000000000000000000000000 rlim: 2000000 alim: 2000000 lbpr: 28 lbpa: 28 mbpr: 48 mbpa: 48 rlambda: 2.5 alambda: 2.5 qintsize: 50000 Factor base limits: 2000000/2000000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 45/45 Sieved algebraic special-q in [100000, 1700001) Primes: RFBsize:148933, AFBsize:148846, largePrimes:2743285 encountered Relations: rels:2743528, finalFF:343108 Max relations in full relation-set: 28 Initial matrix: 297846 x 343108 with sparse part having weight 16612589. Pruned matrix : 264132 x 265685 with weight 10944419. Total sieving time: 10.12 hours. Total relation processing time: 0.11 hours. Matrix solve time: 0.39 hours. Total time per square root: 0.00 hours, sqrts: 32. Prototype def-par.txt line would be: snfs,143,5,0,0,0,0,0,0,0,0,2000000,2000000,26,26,45,45,2.5,2.5,100000 total time: 10.62 hours. --------- CPU info (if available) ---------- CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03 Total of 2 processors activated (12009.47 BogoMIPS).```

11×10148+439

c145

name 名前 Robert Backstrom February 3, 2008 07:54:49 UTC 2008 年 2 月 3 日 (日) 16 時 54 分 49 秒 (日本時間) `5463666616996970148512392589281279491382307654100233447573635325088163711319723836487359062236129737247305418963890130631301842745740823523568271<145>` ```5708590448834065059889081709749195794968604751<46> 957095567805688585006539301709267550428734463658167833478066966464619925304020149513216150426243521<99>``` ```Number: n N=5463666616996970148512392589281279491382307654100233447573635325088163711319723836487359062236129737247305418963890130631301842745740823523568271 ( 145 digits) SNFS difficulty: 149 digits. Divisors found: r1=5708590448834065059889081709749195794968604751 (pp46) r2=957095567805688585006539301709267550428734463658167833478066966464619925304020149513216150426243521 (pp99) Version: GGNFS-0.77.1-20051202-athlon Total time: 11.16 hours. Scaled time: 20.27 units (timescale=1.817). Factorization parameters were as follows: name: KA_1_2_147_7 n: 5463666616996970148512392589281279491382307654100233447573635325088163711319723836487359062236129737247305418963890130631301842745740823523568271 skew: 0.33 deg: 5 c5: 11000 c0: 43 m: 100000000000000000000000000000 type: snfs rlim: 2500000 alim: 2500000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 50000 Factor base limits: 2500000/2500000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved algebraic special-q in [100000, 1900001) Primes: RFBsize:183072, AFBsize:183037, largePrimes:7044436 encountered Relations: rels:6450847, finalFF:440285 Max relations in full relation-set: 48 Initial matrix: 366176 x 440285 with sparse part having weight 39436571. Pruned matrix : 321112 x 323006 with weight 23568462. Total sieving time: 10.11 hours. Total relation processing time: 0.16 hours. Matrix solve time: 0.84 hours. Total square root time: 0.05 hours, sqrts: 1. Prototype def-par.txt line would be: snfs,149,5,0,0,0,0,0,0,0,0,2500000,2500000,28,28,48,48,2.5,2.5,100000 total time: 11.16 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 X2 6000+```

11×10151+439

c91

name 名前 Robert Backstrom February 2, 2008 04:24:13 UTC 2008 年 2 月 2 日 (土) 13 時 24 分 13 秒 (日本時間) `5636384248435557042913746716336205772629431650068022004880943778426067540786043932194784677<91>` ```919097914080506766975348639423129323618987<42> 6132517724267022835952150979164863488281978181871<49>``` ```Number: n N=5636384248435557042913746716336205772629431650068022004880943778426067540786043932194784677 ( 91 digits) Divisors found: r1=919097914080506766975348639423129323618987 (pp42) r2=6132517724267022835952150979164863488281978181871 (pp49) Version: GGNFS-0.77.1-20051202-athlon Total time: 3.32 hours. Scaled time: 4.80 units (timescale=1.445). Factorization parameters were as follows: name: KA_1_2_150_7 n: 5636384248435557042913746716336205772629431650068022004880943778426067540786043932194784677 m: 829092521266817765468 deg: 4 c4: 11928576 c3: 32904998720 c2: -68584145541624839 c1: -89054554649160018 c0: 84172890122121959585421 skew: 1635.250 type: gnfs # adj. I(F,S) = 51.742 # E(F1,F2) = 1.402664e-04 # GGNFS version 0.77.1-20051202-athlon polyselect. # Options were: # lcd=1, enumLCD=24, maxS1=58.00000000, seed=1201912733. # maxskew=2000.0 # These parameters should be manually set: rlim: 700000 alim: 700000 lpbr: 27 lpba: 27 mfbr: 44 mfba: 44 rlambda: 2.4 alambda: 2.4 qintsize: 20000 type: gnfs Factor base limits: 700000/700000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 44/44 Sieved algebraic special-q in [100000, 600001) Primes: RFBsize:56543, AFBsize:56816, largePrimes:2612032 encountered Relations: rels:2297204, finalFF:127409 Max relations in full relation-set: 28 Initial matrix: 113435 x 127409 with sparse part having weight 9286207. Pruned matrix : 107888 x 108519 with weight 6627776. Total sieving time: 3.02 hours. Total relation processing time: 0.10 hours. Matrix solve time: 0.15 hours. Total square root time: 0.07 hours, sqrts: 3. Prototype def-par.txt line would be: gnfs,90,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,700000,700000,27,27,44,44,2.4,2.4,40000 total time: 3.32 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3400+```

11×10158+439

c157

name 名前 Robert Backstrom February 2, 2008 13:51:54 UTC 2008 年 2 月 2 日 (土) 22 時 51 分 54 秒 (日本時間) `1721439749608763693270735524256651017214397496087636932707355242566510172143974960876369327073552425665101721439749608763693270735524256651017214397496087637<157>` ```73609322750518380920243244497<29> 699257274423233790983654844817<30> 33444292414172749749400378136524476926764366571801070725522241132909588873350783579759308359249013<98>``` ```GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM] Input number is 1721439749608763693270735524256651017214397496087636932707355242566510172143974960876369327073552425665101721439749608763693270735524256651017214397496087637 (157 digits) Using B1=134000, B2=47898319, polynomial x^2, sigma=127925048 Step 1 took 2110ms Step 2 took 1312ms ********** Factor found in step 2: 73609322750518380920243244497 Found probable prime factor of 29 digits: 73609322750518380920243244497 Composite cofactor 23386164758548070620066114406153044282416145001500481278061058924300143160723240900830773588252311771187697532077608769175415621 has 128 digits GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM] Input number is 23386164758548070620066114406153044282416145001500481278061058924300143160723240900830773588252311771187697532077608769175415621 (128 digits) Using B1=784000, B2=593560428, polynomial Dickson(3), sigma=3328095469 Step 1 took 9453ms Step 2 took 5485ms ********** Factor found in step 2: 699257274423233790983654844817 Found probable prime factor of 30 digits: 699257274423233790983654844817 Probable prime cofactor 33444292414172749749400378136524476926764366571801070725522241132909588873350783579759308359249013 has 98 digits```

11×10159+439

c144

name 名前 Robert Backstrom February 4, 2008 13:31:59 UTC 2008 年 2 月 4 日 (月) 22 時 31 分 59 秒 (日本時間) `187500975418943751652660969335071540461164444315032750609349244011086201230476532801845590733194291631585853137616657120810227526386921690265699<144>` ```25040024464232789848294795392827328171553<41> 7488050807888404363384367482738346838595043907027771100444640147357671594913324944576167521340548615683<103>``` ```Number: n N=187500975418943751652660969335071540461164444315032750609349244011086201230476532801845590733194291631585853137616657120810227526386921690265699 ( 144 digits) SNFS difficulty: 161 digits. Divisors found: Tue Feb 05 00:24:40 2008 prp41 factor: 25040024464232789848294795392827328171553 Tue Feb 05 00:24:40 2008 prp103 factor: 7488050807888404363384367482738346838595043907027771100444640147357671594913324944576167521340548615683 Tue Feb 05 00:24:40 2008 elapsed time 01:23:19 (Msieve 1.33) Version: GGNFS-0.77.1-20051202-athlon Total time: 40.04 hours. Scaled time: 57.97 units (timescale=1.448). Factorization parameters were as follows: name: KA_1_2_158_7 n: 187500975418943751652660969335071540461164444315032750609349244011086201230476532801845590733194291631585853137616657120810227526386921690265699 skew: 2.08 deg: 5 c5: 11 c0: 430 m: 100000000000000000000000000000000 type: snfs rlim: 2500000 alim: 2500000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 2500000/2500000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved special-q in [100000, 2000001) Primes: RFBsize:183072, AFBsize:182932, largePrimes:7315120 encountered Relations: rels:6778458, finalFF:413850 Max relations in full relation-set: 28 Initial matrix: 366069 x 413850 with sparse part having weight 39217428. Pruned matrix : Total sieving time: 39.82 hours. Total relation processing time: 0.22 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,161,5,0,0,0,0,0,0,0,0,2500000,2500000,28,28,48,48,2.5,2.5,100000 total time: 40.04 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3400+```

11×10162+439

c152

name 名前 Robert Backstrom February 4, 2008 23:42:10 UTC 2008 年 2 月 5 日 (火) 8 時 42 分 10 秒 (日本時間) `42995686218485684425354382121193634172142999966913173892702721973494978030934860093628100416097942649000816546309174279218259378307775145242162473970669<152>` ```318837544764593718793341618330869638110392459849809<51> 134851390385127161706957990388292357099558851675798087663094956194342092914353779808237658244386936541<102>``` ```Number: n N=42995686218485684425354382121193634172142999966913173892702721973494978030934860093628100416097942649000816546309174279218259378307775145242162473970669 ( 152 digits) SNFS difficulty: 163 digits. Divisors found: Tue Feb 5 10:34:00 2008 prp51 factor: 318837544764593718793341618330869638110392459849809 Tue Feb 5 10:34:00 2008 prp102 factor: 134851390385127161706957990388292357099558851675798087663094956194342092914353779808237658244386936541 Tue Feb 5 10:34:00 2008 elapsed time 01:01:47 (Msieve 1.33) Version: GGNFS-0.77.1-20050930-k8 Total time: 50.89 hours. Scaled time: 42.55 units (timescale=0.836). Factorization parameters were as follows: name: KA_1_2_161_7 n: 42995686218485684425354382121193634172142999966913173892702721973494978030934860093628100416097942649000816546309174279218259378307775145242162473970669 type: snfs deg: 5 c5: 1100 c0: 43 skew: 0.52 m: 100000000000000000000000000000000 rlim: 3000000 alim: 3000000 lbpr: 28 lbpa: 28 mbpr: 48 mbpa: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 3000000/3000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved special-q in [100000, 3200191) Primes: RFBsize:216816, AFBsize:216802, largePrimes:5671714 encountered Relations: rels:5520680, finalFF:479300 Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Total sieving time: 50.71 hours. Total relation processing time: 0.18 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,163,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.5,2.5,100000 total time: 50.89 hours. --------- CPU info (if available) ---------- CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03 Total of 2 processors activated (12009.47 BogoMIPS).```

11×10163+439

c147

name 名前 Robert Backstrom February 4, 2008 15:45:48 UTC 2008 年 2 月 5 日 (火) 0 時 45 分 48 秒 (日本時間) `106431301919120237688735078249834833010124765834094812393480977237992899922947939162691163394995651402773321309581435695350268038541000732252438497<147>` ```3212438113559117047787995708543127<34> 85399350297534323459073364282519538599251337<44> 387953825000560041646082303950754107610352645432704733536989058413903<69>``` ```GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM] Input number is 106431301919120237688735078249834833010124765834094812393480977237992899922947939162691163394995651402773321309581435695350268038541000732252438497 (147 digits) Using B1=1388000, B2=1339451696, polynomial Dickson(6), sigma=2931958485 Step 1 took 15536ms Step 2 took 7792ms ********** Factor found in step 2: 3212438113559117047787995708543127 Found probable prime factor of 34 digits: 3212438113559117047787995708543127 Composite cofactor 33131004600491156047449733045194672547442039666553616380896628350782674308658517596250464372112320545716472138311 has 113 digits Number: n N=33131004600491156047449733045194672547442039666553616380896628350782674308658517596250464372112320545716472138311 ( 113 digits) Divisors found: r1=85399350297534323459073364282519538599251337 (pp44) r2=387953825000560041646082303950754107610352645432704733536989058413903 (pp69) Version: GGNFS-0.77.1-20051202-athlon Total time: 23.43 hours. Scaled time: 42.84 units (timescale=1.828). Factorization parameters were as follows: name: KA_1_2_162_7 n: 33131004600491156047449733045194672547442039666553616380896628350782674308658517596250464372112320545716472138311 skew: 28302.88 # norm 4.59e+15 c5: 67860 c4: -3555859626 c3: -286213861045720 c2: 2436750071245123937 c1: 62076746826681929023734 c0: -171681952438916685211104945 # alpha -6.04 Y1: 1026639632953 Y0: -3449256605174613017842 # Murphy_E 7.06e-10 # M 14313394424989021120980462687781058952527077536141995833789940857339061995942088651721890218689067737197530374193 type: gnfs rlim: 3500000 alim: 3500000 lpbr: 28 lpba: 28 mfbr: 50 mfba: 50 rlambda: 2.6 alambda: 2.6 qintsize: 100000 Factor base limits: 3500000/3500000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 50/50 Sieved algebraic special-q in [100000, 1400001) Primes: RFBsize:250150, AFBsize:250126, largePrimes:9402281 encountered Relations: rels:8572818, finalFF:572608 Max relations in full relation-set: 48 Initial matrix: 500360 x 572608 with sparse part having weight 42902050. Pruned matrix : 432356 x 434921 with weight 24320488. Total sieving time: 21.70 hours. Total relation processing time: 0.25 hours. Matrix solve time: 1.33 hours. Total square root time: 0.15 hours, sqrts: 1. Prototype def-par.txt line would be: gnfs,112,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,28,28,50,50,2.6,2.6,100000 total time: 23.43 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 X2 6000+```

11×10167+439

c165

name 名前 Robert Backstrom February 7, 2008 12:27:22 UTC 2008 年 2 月 7 日 (木) 21 時 27 分 22 秒 (日本時間) `131280582408401957274137725265544814416994868122687671559852010979830528702709153836973385845566296694116242988423439551259100131280582408401957274137725265544814417<165>` ```541971448192550699513304798616393006342507476379452171739705124200789773013<75> 242227856921645093713988883275176251092372232052137498460161900833598670237188488521812109<90>``` ```Number: n N=131280582408401957274137725265544814416994868122687671559852010979830528702709153836973385845566296694116242988423439551259100131280582408401957274137725265544814417 ( 165 digits) SNFS difficulty: 168 digits. Divisors found: Thu Feb 07 23:20:45 2008 prp75 factor: 541971448192550699513304798616393006342507476379452171739705124200789773013 Thu Feb 07 23:20:45 2008 prp90 factor: 242227856921645093713988883275176251092372232052137498460161900833598670237188488521812109 Thu Feb 07 23:20:45 2008 elapsed time 01:25:46 (Msieve 1.33) Version: GGNFS-0.77.1-20051202-athlon Total time: 74.38 hours. Scaled time: 136.04 units (timescale=1.829). Factorization parameters were as follows: name: KA_1_2_166_7 n: 131280582408401957274137725265544814416994868122687671559852010979830528702709153836973385845566296694116242988423439551259100131280582408401957274137725265544814417 skew: 0.55 deg: 5 c5: 1100 c0: 43 m: 1000000000000000000000000000000000 type: snfs rlim: 3500000 alim: 3500000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 3500000/3500000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved special-q in [100000, 5131969) Primes: RFBsize:250150, AFBsize:250467, largePrimes:8087111 encountered Relations: rels:7536817, finalFF:549247 Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Total sieving time: 74.14 hours. Total relation processing time: 0.24 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,168,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000 total time: 74.38 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 X2 6000+```

11×10169+439

c170

name 名前 Jo Yeong Uk February 14, 2008 23:31:50 UTC 2008 年 2 月 15 日 (金) 8 時 31 分 50 秒 (日本時間) `12222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227<170>` ```227030126709317368877348740835730359515559877331<48> 53835243803881555060152528124341137855983903787606163934998794151883156545332025716371870291431461909592002513314902039617<122>``` ```Number: 12227_169 N=12222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227 ( 170 digits) SNFS difficulty: 171 digits. Divisors found: r1=227030126709317368877348740835730359515559877331 (pp48) r2=53835243803881555060152528124341137855983903787606163934998794151883156545332025716371870291431461909592002513314902039617 (pp122) Version: GGNFS-0.77.1-20050930-nocona Total time: 97.15 hours. Scaled time: 180.60 units (timescale=1.859). Factorization parameters were as follows: n: 12222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227 m: 10000000000000000000000000000000000 c5: 11 c0: 430 skew: 2.08 type: snfs Factor base limits: 8000000/8000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 49/49 Sieved algebraic special-q in [4000000, 8500001) Primes: RFBsize:539777, AFBsize:539881, largePrimes:9820148 encountered Relations: rels:9752653, finalFF:1218038 Max relations in full relation-set: 28 Initial matrix: 1079723 x 1218038 with sparse part having weight 64331651. Pruned matrix : 958872 x 964334 with weight 46529221. Total sieving time: 91.68 hours. Total relation processing time: 0.17 hours. Matrix solve time: 5.20 hours. Time per square root: 0.10 hours. Prototype def-par.txt line would be: snfs,171,5,0,0,0,0,0,0,0,0,8000000,8000000,28,28,49,49,2.6,2.6,100000 total time: 97.15 hours. --------- CPU info (if available) ---------- Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory for crash kernel (0x0 to 0x0) notwithin permissible range Memory: 8178280k/8912896k available (2434k kernel code, 208060k reserved, 1235k data, 192k init) Calibrating delay using timer specific routine.. 4812.90 BogoMIPS (lpj=2406452) Calibrating delay using timer specific routine.. 4810.22 BogoMIPS (lpj=2405111) Calibrating delay using timer specific routine.. 4809.73 BogoMIPS (lpj=2404867) Calibrating delay using timer specific routine.. 4714.04 BogoMIPS (lpj=2357021)``` `Core 2 Quad Q6600`

11×10172+439

c144

name 名前 Sinkiti Sibata May 5, 2010 03:23:57 UTC 2010 年 5 月 5 日 (水) 12 時 23 分 57 秒 (日本時間) `512143821392666137322546125031812248897121458111741758928529205443140141103130240684710075417937292211457450671578281851106585219105913330705401<144>` ```35961438828688876721152363297572390090093999231965593<53> 14241471923089303784844237590688688304745969398828592294364284537372998058824838344669436257<92>``` ```Number: 12227_172 N=512143821392666137322546125031812248897121458111741758928529205443140141103130240684710075417937292211457450671578281851106585219105913330705401 ( 144 digits) SNFS difficulty: 173 digits. Divisors found: r1=35961438828688876721152363297572390090093999231965593 (pp53) r2=14241471923089303784844237590688688304745969398828592294364284537372998058824838344669436257 (pp92) Version: Msieve-1.40 Total time: 90.30 hours. Scaled time: 283.82 units (timescale=3.143). Factorization parameters were as follows: name: 12227_172 n: 512143821392666137322546125031812248897121458111741758928529205443140141103130240684710075417937292211457450671578281851106585219105913330705401 m: 10000000000000000000000000000000000 deg: 5 c5: 1100 c0: 43 skew: 0.52 type: snfs lss: 1 rlim: 5400000 alim: 5400000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 5400000/5400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved rational special-q in [2700000, 7000001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 1063863 x 1064111 Total sieving time: 87.47 hours. Total relation processing time: 0.12 hours. Matrix solve time: 2.28 hours. Time per square root: 0.44 hours. Prototype def-par.txt line would be: snfs,173.000,5,0,0,0,0,0,0,0,0,5400000,5400000,27,27,52,52,2.4,2.4,100000 total time: 90.30 hours. --------- CPU info (if available) ----------``` ```Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin) ```

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaFebruary 1, 2008 09:00:00 UTC 2008 年 2 月 1 日 (金) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336Wataru SakaiAugust 21, 2009 06:19:54 UTC 2009 年 8 月 21 日 (金) 15 時 19 分 54 秒 (日本時間)

11×10175+439

c106

name 名前 Jo Yeong Uk February 4, 2008 03:35:25 UTC 2008 年 2 月 4 日 (月) 12 時 35 分 25 秒 (日本時間) `3908071027696326886864028499843206919992522378639674173594528479164089521830871500698729823982185555728949<106>` ```47531082292491978658661669522302345299666587893<47> 82221376817115875746030616826703371178580921798546057059393<59>``` ```Number: 12227_175 N=3908071027696326886864028499843206919992522378639674173594528479164089521830871500698729823982185555728949 ( 106 digits) Divisors found: r1=47531082292491978658661669522302345299666587893 (pp47) r2=82221376817115875746030616826703371178580921798546057059393 (pp59) Version: GGNFS-0.77.1-20050930-nocona Total time: 10.32 hours. Scaled time: 19.18 units (timescale=1.858). Factorization parameters were as follows: name: 12227_175 n: 3908071027696326886864028499843206919992522378639674173594528479164089521830871500698729823982185555728949 skew: 8608.29 # norm 1.20e+14 c5: 25260 c4: -60371188 c3: 5757318952065 c2: 46830095000041631 c1: -261301190147423580723 c0: 3535830573716278227215 # alpha -5.17 Y1: 25621186877 Y0: -172944140038548492006 # Murphy_E 1.75e-09 # M 2075970695538704841661361494941305006763486824834160907225439575126500475951541082025147569146320170113636 type: gnfs rlim: 1800000 alim: 1800000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.6 alambda: 2.6 qintsize: 60000 Factor base limits: 1800000/1800000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved algebraic special-q in [900000, 1440001) Primes: RFBsize:135072, AFBsize:135115, largePrimes:4655871 encountered Relations: rels:4809611, finalFF:441492 Max relations in full relation-set: 28 Initial matrix: 270272 x 441492 with sparse part having weight 44629901. Pruned matrix : 194914 x 196329 with weight 18507439. Polynomial selection time: 0.49 hours. Total sieving time: 9.52 hours. Total relation processing time: 0.09 hours. Matrix solve time: 0.16 hours. Time per square root: 0.06 hours. Prototype def-par.txt line would be: gnfs,105,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,49,49,2.6,2.6,60000 total time: 10.32 hours. --------- CPU info (if available) ---------- Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory for crash kernel (0x0 to 0x0) notwithin permissible range Memory: 8178280k/8912896k available (2434k kernel code, 208060k reserved, 1235k data, 192k init) Calibrating delay using timer specific routine.. 4812.90 BogoMIPS (lpj=2406453) Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405118) Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405123) Calibrating delay using timer specific routine.. 4810.22 BogoMIPS (lpj=2405114)``` `Core 2 Quad Q6600`

11×10177+439

c172

name 名前 matsui September 30, 2009 00:16:21 UTC 2009 年 9 月 30 日 (水) 9 時 16 分 21 秒 (日本時間) `4970989755693929834027690220571853623331837517325029068992366819276052166470312571316756438222572902954078448545059084732328018441468177305262606091089320099654787356875037<172>` ```55787633447660991296304360824773479896272139981968559<53> 5262473431773579047842882158186090489494636716739379529237<58> 16932263297944616820513923713596671722409861171887225084414439<62>``` ```N=4970989755693929834027690220571853623331837517325029068992366819276052166470312571316756438222572902954078448545059084732328018441468177305262606091089320099654787356875037 ( 172 digits) SNFS difficulty: 178 digits. Divisors found: r1=55787633447660991296304360824773479896272139981968559 (pp53) r2=5262473431773579047842882158186090489494636716739379529237 (pp58) r3=16932263297944616820513923713596671722409861171887225084414439 (pp62) Version: Msieve v. 1.42 Total time: 233.29 hours. Scaled time: 624.52 units (timescale=2.677). Factorization parameters were as follows: n: 4970989755693929834027690220571853623331837517325029068992366819276052166470312571316756438222572902954078448545059084732328018441468177305262606091089320099654787356875037 m: 200000000000000000000000000000000000 deg: 5 c5: 275 c0: 344 skew: 1.05 type: snfs lss: 1 rlim: 6700000 alim: 6700000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 6700000/6700000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved rational special-q in [3350000, 8950001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 1521728 x 1521960 Total sieving time: 230.29 hours. Total relation processing time: 0.12 hours. Matrix solve time: 2.59 hours. Time per square root: 0.30 hours. Prototype def-par.txt line would be: snfs,178.000,5,0,0,0,0,0,0,0,0,6700000,6700000,28,28,53,53,2.5,2.5,100000 total time: 233.29 hours.```

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaFebruary 1, 2008 09:00:00 UTC 2008 年 2 月 1 日 (金) 18 時 0 分 0 秒 (日本時間)

11×10178+439

c162

name 名前 Rich Dickerson February 5, 2012 21:06:44 UTC 2012 年 2 月 6 日 (月) 6 時 6 分 44 秒 (日本時間) `438197597990589596844359517654788559216279319050317862315674930202266381636381922965446788817937181903450849801595722284582230301044743097984004917042865870297987<162>` ```308715800484785935831708101966275113<36> 1419420701183659546683842616156623454051347742950473211922505987468314251156744959578698233932650715820333979598550073676938699<127>``` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3236567979 Step 1 took 26306ms Step 2 took 9390ms ********** Factor found in step 2: 308715800484785935831708101966275113 Found probable prime factor of 36 digits: 308715800484785935831708101966275113 Probable prime cofactor 1419420701183659546683842616156623454051347742950473211922505987468314251156744959578698233932650715820333979598550073676938699 has 127 digits``` `GMP-ECM 6.3 [configured with GMP 5.0.2 and --enable-asm-redc] [ECM]` `Core i5, 3.3 GHz, openSUSE`

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaFebruary 1, 2008 09:00:00 UTC 2008 年 2 月 1 日 (金) 18 時 0 分 0 秒 (日本時間)
351e6125Rich DickersonSeptember 27, 2010 17:34:29 UTC 2010 年 9 月 28 日 (火) 2 時 34 分 29 秒 (日本時間)
403e6250 / 2302Rich DickersonSeptember 27, 2010 19:09:11 UTC 2010 年 9 月 28 日 (火) 4 時 9 分 11 秒 (日本時間)

11×10181+439

c182

name 名前 Jo Yeong Uk March 5, 2008 02:34:28 UTC 2008 年 3 月 5 日 (水) 11 時 34 分 28 秒 (日本時間) `12222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227<182>` ```17516603088503986712003230092449997330331139625362369248432951964013027291978138942617<86> 697750708882795525763097607759634404119636066233661493021512854651497704755817469884947029848331<96>``` ```Number: 12227_181 N=12222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227 ( 182 digits) SNFS difficulty: 182 digits. Divisors found: r1=17516603088503986712003230092449997330331139625362369248432951964013027291978138942617 (pp86) r2=697750708882795525763097607759634404119636066233661493021512854651497704755817469884947029848331 (pp96) Version: GGNFS-0.77.1-20050930-nocona Total time: 281.88 hours. Scaled time: 523.45 units (timescale=1.857). Factorization parameters were as follows: n: 12222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227 m: 1000000000000000000000000000000000000 c5: 110 c0: 43 skew: 0.83 type: snfs Factor base limits: 10000000/10000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 50/50 Sieved algebraic special-q in [5000000, 9700001) Primes: RFBsize:664579, AFBsize:664856, largePrimes:11128366 encountered Relations: rels:11398297, finalFF:1494512 Max relations in full relation-set: 28 Initial matrix: 1329502 x 1494512 with sparse part having weight 95004589. Pruned matrix : 1185360 x 1192071 with weight 70601132. Total sieving time: 270.41 hours. Total relation processing time: 0.24 hours. Matrix solve time: 11.09 hours. Time per square root: 0.14 hours. Prototype def-par.txt line would be: snfs,182,5,0,0,0,0,0,0,0,0,10000000,10000000,28,28,50,50,2.6,2.6,100000 total time: 281.88 hours. --------- CPU info (if available) ---------- Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory for crash kernel (0x0 to 0x0) notwithin permissible range Memory: 8178280k/8912896k available (2435k kernel code, 208060k reserved, 1235k data, 192k init) Calibrating delay using timer specific routine.. 4812.89 BogoMIPS (lpj=2406449) Calibrating delay using timer specific routine.. 4810.22 BogoMIPS (lpj=2405112) Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133) Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405115)``` `Core 2 Quad Q6600`

11×10182+439

c165

name 名前 Rich Dickerson October 1, 2010 21:00:47 UTC 2010 年 10 月 2 日 (土) 6 時 0 分 47 秒 (日本時間) `116429556501430451511338131229733970888231391754607657542164808058708335523874866476610929520225932754654163349394471111154381304687841115229791168911161292107685643<165>` ```84200960097566242590982528204479227<35> 1382758063168400251916520303711449568511486526913764338333042995730547415343875265159169960928665878996596525343874023930728533809<130>``` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1816708390 Step 1 took 4359ms Step 2 took 2349ms ********** Factor found in step 2: 84200960097566242590982528204479227 Found probable prime factor of 35 digits: 84200960097566242590982528204479227 Probable prime cofactor 1382758063168400251916520303711449568511486526913764338333042995730547415343875265159169960928665878996596525343874023930728533809 has 130 digits``` `GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]` `C2D 3 GHz Mac OS X`

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaFebruary 1, 2008 09:00:00 UTC 2008 年 2 月 1 日 (金) 18 時 0 分 0 秒 (日本時間)

11×10183+439

c152

name 名前 Dmitry Domanov May 24, 2012 03:21:50 UTC 2012 年 5 月 24 日 (木) 12 時 21 分 50 秒 (日本時間) `20736392343938747947190301977296870200912411816270869548141465029494139968754174430660347509316228968072728035572874283848738391485241669584731851941877<152>` ```21975120710555839626873520610864710655912897<44> 943630418101773456319098780056209826795854656595104737297851767687528828360159750786474746381590261595052341<108>``` ```N=20736392343938747947190301977296870200912411816270869548141465029494139968754174430660347509316228968072728035572874283848738391485241669584731851941877 ( 152 digits) SNFS difficulty: 184 digits. Divisors found: r1=21975120710555839626873520610864710655912897 (pp44) r2=943630418101773456319098780056209826795854656595104737297851767687528828360159750786474746381590261595052341 (pp108) Version: Msieve-1.40 Total time: 231.50 hours. Scaled time: 448.88 units (timescale=1.939). Factorization parameters were as follows: n: 20736392343938747947190301977296870200912411816270869548141465029494139968754174430660347509316228968072728035572874283848738391485241669584731851941877 m: 1000000000000000000000000000000000000 deg: 5 c5: 11000 c0: 43 skew: 0.33 type: snfs lss: 1 rlim: 8200000 alim: 8200000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 qintsize: 320000Factor base limits: 8200000/8200000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 54/54 Sieved rational special-q in [4100000, 7620001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 1623122 x 1623349 Total sieving time: 227.77 hours. Total relation processing time: 0.21 hours. Matrix solve time: 3.27 hours. Time per square root: 0.25 hours. Prototype def-par.txt line would be: snfs,184.000,5,0,0,0,0,0,0,0,0,8200000,8200000,28,28,54,54,2.5,2.5,100000 total time: 231.50 hours. --------- CPU info (if available) ----------```

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaFebruary 1, 2008 09:00:00 UTC 2008 年 2 月 1 日 (金) 18 時 0 分 0 秒 (日本時間)
351e6100Rich DickersonOctober 1, 2010 21:17:09 UTC 2010 年 10 月 2 日 (土) 6 時 17 分 9 秒 (日本時間)
403e61300300Rich DickersonOctober 1, 2010 23:15:58 UTC 2010 年 10 月 2 日 (土) 8 時 15 分 58 秒 (日本時間)
1000Dmitry DomanovMay 15, 2012 17:28:46 UTC 2012 年 5 月 16 日 (水) 2 時 28 分 46 秒 (日本時間)
4511e6300 / 4187Dmitry DomanovMay 16, 2012 06:26:59 UTC 2012 年 5 月 16 日 (水) 15 時 26 分 59 秒 (日本時間)

11×10185+439

c173

name 名前 Robert Backstrom February 29, 2012 04:12:09 UTC 2012 年 2 月 29 日 (水) 13 時 12 分 9 秒 (日本時間) `13615701446216060198745849551947364699767636197738966793441884854522548589389509755464276208174490612964270041643017444031605189526394244716929190477032980234231444846069823<173>` ```4884393385364256167394551784716102649229<40> 2787593130195974624366845921413240903278616402854620963087212080268591363407366147530823634685165141745704392872992318661047547016187<133>``` ```Number: n N=13615701446216060198745849551947364699767636197738966793441884854522548589389509755464276208174490612964270041643017444031605189526394244716929190477032980234231444846069823 ( 173 digits) SNFS difficulty: 186 digits. Divisors found: Wed Feb 29 15:06:47 2012 prp40 factor: 4884393385364256167394551784716102649229 Wed Feb 29 15:06:47 2012 prp133 factor: 2787593130195974624366845921413240903278616402854620963087212080268591363407366147530823634685165141745704392872992318661047547016187 Wed Feb 29 15:06:47 2012 elapsed time 02:39:55 (Msieve 1.44 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=1.661). Factorization parameters were as follows: name: KA_12227_185 n: 13615701446216060198745849551947364699767636197738966793441884854522548589389509755464276208174490612964270041643017444031605189526394244716929190477032980234231444846069823 m: 10000000000000000000000000000000000000 # c173, diff: 186.04 skew: 1.31 deg: 5 c5: 11 c0: 43 type: snfs lss: 1 rlim: 15000000 alim: 15000000 lpbr: 29 lpba: 29 mfbr: 57 mfba: 57 rlambda: 2.5 alambda: 2.5 Factor base limits: 15000000/15000000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 57/57 Sieved special-q in [100000, 13100000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 6450896 hash collisions in 75782180 relations (71946979 unique) Msieve: matrix is 1117966 x 1118209 (312.4 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,186,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7 CPU 930 @ 2.80GHz stepping 05 CPU1: Intel(R) Core(TM) i7 CPU 930 @ 2.80GHz stepping 05 CPU2: Intel(R) Core(TM) i7 CPU 930 @ 2.80GHz stepping 05 CPU3: Intel(R) Core(TM) i7 CPU 930 @ 2.80GHz stepping 05 CPU4: Intel(R) Core(TM) i7 CPU 930 @ 2.80GHz stepping 05 CPU5: Intel(R) Core(TM) i7 CPU 930 @ 2.80GHz stepping 05 CPU6: Intel(R) Core(TM) i7 CPU 930 @ 2.80GHz stepping 05 CPU7: Intel(R) Core(TM) i7 CPU 930 @ 2.80GHz stepping 05 Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.93 BogoMIPS (lpj=2798468) Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555) Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554) Calibrating delay using timer specific routine.. 5595.12 BogoMIPS (lpj=2797560) Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554) Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555) Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554) Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556) Total of 8 processors activated (44762.71 BogoMIPS).```

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaFebruary 1, 2008 09:00:00 UTC 2008 年 2 月 1 日 (金) 18 時 0 分 0 秒 (日本時間)
351e6100Rich DickersonOctober 1, 2010 21:17:50 UTC 2010 年 10 月 2 日 (土) 6 時 17 分 50 秒 (日本時間)
403e6300 / 583Rich DickersonOctober 1, 2010 23:28:44 UTC 2010 年 10 月 2 日 (土) 8 時 28 分 44 秒 (日本時間)
4511e6500 / 4408Rich DickersonOctober 2, 2010 14:11:06 UTC 2010 年 10 月 2 日 (土) 23 時 11 分 6 秒 (日本時間)

11×10186+439

c125

name 名前 Sinkiti Sibata January 30, 2010 09:19:00 UTC 2010 年 1 月 30 日 (土) 18 時 19 分 0 秒 (日本時間) `32078518654571540845797512642206599349593095836079225190577270470910073536954138148253200950675967955631430085910975641067001<125>` ```4310696886301911244904480034022931498351881081<46> 7441608514972916505581984098450054955452374957807987761170784033777003524040321<79>``` ```Number: 12227_186 N=32078518654571540845797512642206599349593095836079225190577270470910073536954138148253200950675967955631430085910975641067001 ( 125 digits) Divisors found: r1=4310696886301911244904480034022931498351881081 (pp46) r2=7441608514972916505581984098450054955452374957807987761170784033777003524040321 (pp79) Version: Msieve-1.40 Total time: 101.95 hours. Scaled time: 238.15 units (timescale=2.336). Factorization parameters were as follows: name: 12227_186 # Murphy_E = 1.527969e-10, selected by Jeff Gilchrist n: 32078518654571540845797512642206599349593095836079225190577270470910073536954138148253200950675967955631430085910975641067001 Y0: -1009485039378964555479762 Y1: 34586793430301 c0: -17904376591451933662120893415715 c1: -74790035409910668870168534 c2: 703760013490898711547 c3: -873055532883078 c4: -13484026660 c5: 30600 skew: 277484.61 type: gnfs # selected mechanically rlim: 7000000 alim: 7000000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.5 alambda: 2.5 Factor base limits: 7000000/7000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved algebraic special-q in [3500000, 7200001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 945419 x 945667 Total sieving time: 99.52 hours. Total relation processing time: 0.15 hours. Matrix solve time: 2.12 hours. Time per square root: 0.17 hours. Prototype def-par.txt line would be: gnfs,124,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,7000000,7000000,27,27,52,52,2.5,2.5,100000 total time: 101.95 hours. --------- CPU info (if available) ----------``` `Core i7 2.93GHz,Windows 7 64bit,and Cygwin)`

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaFebruary 1, 2008 09:00:00 UTC 2008 年 2 月 1 日 (金) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336500Erik BrangerMarch 4, 2009 16:25:55 UTC 2009 年 3 月 5 日 (木) 1 時 25 分 55 秒 (日本時間)
1836Wataru SakaiDecember 3, 2009 14:25:47 UTC 2009 年 12 月 3 日 (木) 23 時 25 分 47 秒 (日本時間)

11×10187+439

c140

name 名前 Dmitry Domanov May 26, 2012 14:03:09 UTC 2012 年 5 月 26 日 (土) 23 時 3 分 9 秒 (日本時間) `17755641084295362259041027948146799732690451699087465037686764730559622270392105199457534953037754443500448284903882414686769140387295646183<140>` ```5556368747770156648376414623521081481074137723154611933586258817<64> 3195547648168767225376562283552381036700999008018659650483880168507396464999<76>``` ```N=17755641084295362259041027948146799732690451699087465037686764730559622270392105199457534953037754443500448284903882414686769140387295646183 ( 140 digits) SNFS difficulty: 188 digits. Divisors found: r1=5556368747770156648376414623521081481074137723154611933586258817 (pp64) r2=3195547648168767225376562283552381036700999008018659650483880168507396464999 (pp76) Version: Msieve-1.40 Total time: 354.14 hours. Scaled time: 693.04 units (timescale=1.957). Factorization parameters were as follows: n: 17755641084295362259041027948146799732690451699087465037686764730559622270392105199457534953037754443500448284903882414686769140387295646183 m: 10000000000000000000000000000000000000 deg: 5 c5: 1100 c0: 43 skew: 0.52 type: snfs lss: 1 rlim: 9500000 alim: 9500000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 qintsize: 400000Factor base limits: 9500000/9500000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 54/54 Sieved rational special-q in [4750000, 9950001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 1696909 x 1697134 Total sieving time: 350.02 hours. Total relation processing time: 0.23 hours. Matrix solve time: 3.66 hours. Time per square root: 0.22 hours. Prototype def-par.txt line would be: snfs,188.000,5,0,0,0,0,0,0,0,0,9500000,9500000,28,28,54,54,2.5,2.5,100000 total time: 354.14 hours. --------- CPU info (if available) ----------```

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaFebruary 1, 2008 09:00:00 UTC 2008 年 2 月 1 日 (金) 18 時 0 分 0 秒 (日本時間)
351e6100Rich DickersonOctober 1, 2010 23:27:29 UTC 2010 年 10 月 2 日 (土) 8 時 27 分 29 秒 (日本時間)
403e61300300Rich DickersonOctober 2, 2010 01:41:57 UTC 2010 年 10 月 2 日 (土) 10 時 41 分 57 秒 (日本時間)
1000Dmitry DomanovMay 15, 2012 17:28:56 UTC 2012 年 5 月 16 日 (水) 2 時 28 分 56 秒 (日本時間)
4511e6300 / 4187Rich DickersonOctober 2, 2010 14:07:20 UTC 2010 年 10 月 2 日 (土) 23 時 7 分 20 秒 (日本時間)

11×10188+439

c185

name 名前 Ignacio Santos February 21, 2009 11:43:44 UTC 2009 年 2 月 21 日 (土) 20 時 43 分 44 秒 (日本時間) `92522499789721591386996383211371856337791235595929010009252249978972159138699638321137185633779123559592901000925224997897215913869963832113718563377912355959290100092522499789721591387<185>` ```32500590808365891660494126460420756674718181<44> 543030414799904978254708147320654776932247308215000344723661626079893<69> 5242421637376962007933603554526722658769614576691122109338592923947287939<73>``` ```Number: 12227_188 N=92522499789721591386996383211371856337791235595929010009252249978972159138699638321137185633779123559592901000925224997897215913869963832113718563377912355959290100092522499789721591387 ( 185 digits) SNFS difficulty: 190 digits. Divisors found: r1=32500590808365891660494126460420756674718181 (pp44) r2=543030414799904978254708147320654776932247308215000344723661626079893 (pp69) r3=5242421637376962007933603554526722658769614576691122109338592923947287939 (pp73) Version: Msieve-1.39 Total time: 320.82 hours. Scaled time: 557.90 units (timescale=1.739). Factorization parameters were as follows: n: 92522499789721591386996383211371856337791235595929010009252249978972159138699638321137185633779123559592901000925224997897215913869963832113718563377912355959290100092522499789721591387 m: 50000000000000000000000000000000000000 deg: 5 c5: 88 c0: 1075 skew: 1.65 type: snfs lss: 1 rlim: 10400000 alim: 10400000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 Factor base limits: 10400000/10400000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 54/54 Sieved rational special-q in [5200000, 10500001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 1944125 x 1944373 Total sieving time: 320.82 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,190,5,0,0,0,0,0,0,0,0,10400000,10400000,28,28,54,54,2.5,2.5,100000 total time: 320.82 hours. --------- CPU info (if available) ----------``` `GGNFS, Msieve` `To the records page`

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaFebruary 1, 2008 09:00:00 UTC 2008 年 2 月 1 日 (金) 18 時 0 分 0 秒 (日本時間)

11×10190+439

c155

name 名前 Eric Jeancolas September 29, 2020 03:51:36 UTC 2020 年 9 月 29 日 (火) 12 時 51 分 36 秒 (日本時間) `28181020038260695831236824795016623425821960850021973062635910823067047671943499580758143039375025130700617279927283537049749620832862119573572230978108511<155>` ```36017389366778539266276700156242404897323427093749781686119545969387<68> 782428169662238278342012922366704571034004170357799489465095322534034070825585823113053<87>``` ```28181020038260695831236824795016623425821960850021973062635910823067047671943499580758143039375025130700617279927283537049749620832862119573572230978108511=36017389366778539266276700156242404897323427093749781686119545969387*782428169662238278342012922366704571034004170357799489465095322534034070825585823113053 cado polynomial n: 28181020038260695831236824795016623425821960850021973062635910823067047671943499580758143039375025130700617279927283537049749620832862119573572230978108511 skew: 1.31 type: snfs c0: 43 c5: 11 Y0: 100000000000000000000000000000000000000 Y1: -1 # f(x) = 11*x^5+43 # g(x) = -x+100000000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 10700000 tasks.lim1 = 10700000 tasks.lpb0 = 28 tasks.lpb1 = 28 tasks.sieve.mfb0 = 54 tasks.sieve.mfb1 = 54 tasks.sieve.lambda0 = 2.5 tasks.sieve.lambda1 = 2.5 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 36017389366778539266276700156242404897323427093749781686119545969387 782428169662238278342012922366704571034004170357799489465095322534034070825585823113053 Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info) Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info) Info:Generate Factor Base: Total cpu/real time for makefb: 4.64/1.99725 Info:Generate Free Relations: Total cpu/real time for freerel: 98.43/25.7087 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 25836631 Info:Lattice Sieving: Average J: 1894.19 for 2303837 special-q, max bucket fill -bkmult 1.0,1s:1.115870 Info:Lattice Sieving: Total time: 540916s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 50.87/107.134 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 106.6s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 420.1/385.089 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 332.50000000000006s Info:Filtering - Singleton removal: Total cpu/real time for purge: 342.5/356.149 Info:Filtering - Merging: Merged matrix has 2067660 rows and total weight 354933657 (171.7 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 300.22/86.1178 Info:Filtering - Merging: Total cpu/real time for replay: 79.98/70.197 Info:Linear Algebra: Total cpu/real time for bwc: 73076.5/18712.7 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: WCT time 11936.25, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (64768 iterations) Info:Linear Algebra: Lingen CPU time 426.93, WCT time 123.49 Info:Linear Algebra: Mksol: WCT time 6527.64, iteration CPU time 0.19, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (32512 iterations) Info:Quadratic Characters: Total cpu/real time for characters: 73.95/30.7168 Info:Square Root: Total cpu/real time for sqrt: 527.6/166.707 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.07348e+06/290383 Info:root: Cleaning up computation data in /tmp/cado.yzjf2txu 36017389366778539266276700156242404897323427093749781686119545969387 782428169662238278342012922366704571034004170357799489465095322534034070825585823113053``` `cado-nfs-3.0.0` ```Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)```

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaFebruary 1, 2008 09:00:00 UTC 2008 年 2 月 1 日 (金) 18 時 0 分 0 秒 (日本時間)
351e6100Rich DickersonOctober 1, 2010 23:46:07 UTC 2010 年 10 月 2 日 (土) 8 時 46 分 7 秒 (日本時間)
403e61300300Rich DickersonOctober 2, 2010 04:32:03 UTC 2010 年 10 月 2 日 (土) 13 時 32 分 3 秒 (日本時間)
1000Dmitry DomanovMay 15, 2012 17:29:06 UTC 2012 年 5 月 16 日 (水) 2 時 29 分 6 秒 (日本時間)
4511e64282282Rich DickersonOctober 2, 2010 14:26:36 UTC 2010 年 10 月 2 日 (土) 23 時 26 分 36 秒 (日本時間)
4000Robert BalfourApril 11, 2020 18:48:57 UTC 2020 年 4 月 12 日 (日) 3 時 48 分 57 秒 (日本時間)
5043e6250 / 654310Dmitry DomanovMay 16, 2012 09:00:39 UTC 2012 年 5 月 16 日 (水) 18 時 0 分 39 秒 (日本時間)
240Dmitry DomanovJune 2, 2012 13:30:52 UTC 2012 年 6 月 2 日 (土) 22 時 30 分 52 秒 (日本時間)

11×10191+439

c179

name 名前 matsui March 7, 2020 07:36:24 UTC 2020 年 3 月 7 日 (土) 16 時 36 分 24 秒 (日本時間) `28912593789552500957677664130766885708798910977004569318532951083013586518924010954500784439891759433598235477486169657767065605580025818611146069008449345463309897899772550160707<179>` ```22245736980052707312179114308867765430593030265684052251771517086981<68> 1299691433710549863542644543508720645218167813796632203678243271691734259341874088184612432032270090995330164647<112>``` ```Fri Mar 06 03:57:51 2020 -> factmsieve.py (v0.86) ---------------------------------------------------------------------- --------------------------------------------------------- --------------------------------------------------------- Sat Mar 7 13:06:54 2020 Msieve v. 1.54 (SVN Unversioned directory) Sat Mar 7 13:06:54 2020 random seeds: 24026731 8c0bc98a Sat Mar 7 13:06:54 2020 factoring 28912593789552500957677664130766885708798910977004569318532951083013586518924010954500784439891759433598235477486169657767065605580025818611146069008449345463309897899772550160707 (179 digits) Sat Mar 7 13:06:55 2020 searching for 15-digit factors Sat Mar 7 13:06:56 2020 commencing number field sieve (179-digit input) Sat Mar 7 13:06:56 2020 R0: -100000000000000000000000000000000000000 Sat Mar 7 13:06:56 2020 R1: 1 Sat Mar 7 13:06:56 2020 A0: 43 Sat Mar 7 13:06:56 2020 A1: 0 Sat Mar 7 13:06:56 2020 A2: 0 Sat Mar 7 13:06:56 2020 A3: 0 Sat Mar 7 13:06:56 2020 A4: 0 Sat Mar 7 13:06:56 2020 A5: 110 Sat Mar 7 13:06:56 2020 skew 0.83, size 1.776e-13, alpha 0.622, combined = 2.891e-11 rroots = 1 Sat Mar 7 13:06:56 2020 Sat Mar 7 13:06:56 2020 commencing relation filtering Sat Mar 7 13:06:56 2020 estimated available RAM is 24082.6 MB Sat Mar 7 13:06:56 2020 commencing duplicate removal, pass 1 Sat Mar 7 13:09:58 2020 found 3788939 hash collisions in 23865796 relations Sat Mar 7 13:10:30 2020 added 724576 free relations Sat Mar 7 13:10:30 2020 commencing duplicate removal, pass 2 Sat Mar 7 13:10:38 2020 found 3479828 duplicates and 21110544 unique relations Sat Mar 7 13:10:38 2020 memory use: 106.6 MB Sat Mar 7 13:10:38 2020 reading ideals above 720000 Sat Mar 7 13:10:38 2020 commencing singleton removal, initial pass Sat Mar 7 13:12:58 2020 memory use: 689.0 MB Sat Mar 7 13:12:58 2020 reading all ideals from disk Sat Mar 7 13:12:58 2020 memory use: 683.4 MB Sat Mar 7 13:13:00 2020 keeping 22970054 ideals with weight <= 200, target excess is 117592 Sat Mar 7 13:13:02 2020 commencing in-memory singleton removal Sat Mar 7 13:13:04 2020 begin with 21110544 relations and 22970054 unique ideals Sat Mar 7 13:13:21 2020 reduce to 9328640 relations and 9009815 ideals in 21 passes Sat Mar 7 13:13:21 2020 max relations containing the same ideal: 120 Sat Mar 7 13:13:26 2020 removing 936022 relations and 844813 ideals in 91209 cliques Sat Mar 7 13:13:26 2020 commencing in-memory singleton removal Sat Mar 7 13:13:27 2020 begin with 8392618 relations and 9009815 unique ideals Sat Mar 7 13:13:32 2020 reduce to 8311037 relations and 8082207 ideals in 9 passes Sat Mar 7 13:13:32 2020 max relations containing the same ideal: 112 Sat Mar 7 13:13:36 2020 removing 682293 relations and 591084 ideals in 91209 cliques Sat Mar 7 13:13:37 2020 commencing in-memory singleton removal Sat Mar 7 13:13:37 2020 begin with 7628744 relations and 8082207 unique ideals Sat Mar 7 13:13:43 2020 reduce to 7581342 relations and 7443174 ideals in 10 passes Sat Mar 7 13:13:43 2020 max relations containing the same ideal: 100 Sat Mar 7 13:13:48 2020 relations with 0 large ideals: 2928 Sat Mar 7 13:13:48 2020 relations with 1 large ideals: 738 Sat Mar 7 13:13:48 2020 relations with 2 large ideals: 14451 Sat Mar 7 13:13:48 2020 relations with 3 large ideals: 119190 Sat Mar 7 13:13:48 2020 relations with 4 large ideals: 527166 Sat Mar 7 13:13:48 2020 relations with 5 large ideals: 1357090 Sat Mar 7 13:13:48 2020 relations with 6 large ideals: 2180821 Sat Mar 7 13:13:48 2020 relations with 7+ large ideals: 3378958 Sat Mar 7 13:13:48 2020 commencing 2-way merge Sat Mar 7 13:13:53 2020 reduce to 4524515 relation sets and 4386347 unique ideals Sat Mar 7 13:13:53 2020 commencing full merge Sat Mar 7 13:15:32 2020 memory use: 552.7 MB Sat Mar 7 13:15:33 2020 found 2112343 cycles, need 2110547 Sat Mar 7 13:15:34 2020 weight of 2110547 cycles is about 190098966 (90.07/cycle) Sat Mar 7 13:15:34 2020 distribution of cycle lengths: Sat Mar 7 13:15:34 2020 1 relations: 214781 Sat Mar 7 13:15:34 2020 2 relations: 214532 Sat Mar 7 13:15:34 2020 3 relations: 207797 Sat Mar 7 13:15:34 2020 4 relations: 187755 Sat Mar 7 13:15:34 2020 5 relations: 171194 Sat Mar 7 13:15:34 2020 6 relations: 150410 Sat Mar 7 13:15:34 2020 7 relations: 134033 Sat Mar 7 13:15:34 2020 8 relations: 116526 Sat Mar 7 13:15:34 2020 9 relations: 102161 Sat Mar 7 13:15:34 2020 10+ relations: 611358 Sat Mar 7 13:15:34 2020 heaviest cycle: 28 relations Sat Mar 7 13:15:34 2020 commencing cycle optimization Sat Mar 7 13:15:38 2020 start with 15617404 relations Sat Mar 7 13:16:10 2020 pruned 471594 relations Sat Mar 7 13:16:10 2020 memory use: 467.3 MB Sat Mar 7 13:16:10 2020 distribution of cycle lengths: Sat Mar 7 13:16:10 2020 1 relations: 214781 Sat Mar 7 13:16:10 2020 2 relations: 219440 Sat Mar 7 13:16:10 2020 3 relations: 215501 Sat Mar 7 13:16:10 2020 4 relations: 193207 Sat Mar 7 13:16:10 2020 5 relations: 176206 Sat Mar 7 13:16:10 2020 6 relations: 153489 Sat Mar 7 13:16:10 2020 7 relations: 136097 Sat Mar 7 13:16:10 2020 8 relations: 117899 Sat Mar 7 13:16:10 2020 9 relations: 102572 Sat Mar 7 13:16:10 2020 10+ relations: 581355 Sat Mar 7 13:16:10 2020 heaviest cycle: 28 relations Sat Mar 7 13:16:14 2020 RelProcTime: 558 Sat Mar 7 13:16:14 2020 elapsed time 00:09:20 Sat Mar 07 13:16:14 2020 LatSieveTime: 18383.5 Sat Mar 07 13:16:14 2020 -> Running matrix solving step ... Sat Mar 07 13:16:14 2020 -> ./msieve -s ../../12227_191/12227_191.dat -l ../../12227_191/12227_191.log -i ../../12227_191/12227_191.ini -nf ../../12227_191/12227_191.fb -t 16 -nc2 Sat Mar 7 13:16:14 2020 Sat Mar 7 13:16:14 2020 Sat Mar 7 13:16:14 2020 Msieve v. 1.54 (SVN Unversioned directory) Sat Mar 7 13:16:14 2020 random seeds: a501f900 f5b7aa00 Sat Mar 7 13:16:14 2020 factoring 28912593789552500957677664130766885708798910977004569318532951083013586518924010954500784439891759433598235477486169657767065605580025818611146069008449345463309897899772550160707 (179 digits) Sat Mar 7 13:16:15 2020 searching for 15-digit factors Sat Mar 7 13:16:16 2020 commencing number field sieve (179-digit input) Sat Mar 7 13:16:16 2020 R0: -100000000000000000000000000000000000000 Sat Mar 7 13:16:16 2020 R1: 1 Sat Mar 7 13:16:16 2020 A0: 43 Sat Mar 7 13:16:16 2020 A1: 0 Sat Mar 7 13:16:16 2020 A2: 0 Sat Mar 7 13:16:16 2020 A3: 0 Sat Mar 7 13:16:16 2020 A4: 0 Sat Mar 7 13:16:16 2020 A5: 110 Sat Mar 7 13:16:16 2020 skew 0.83, size 1.776e-13, alpha 0.622, combined = 2.891e-11 rroots = 1 Sat Mar 7 13:16:16 2020 Sat Mar 7 13:16:16 2020 commencing linear algebra Sat Mar 7 13:16:16 2020 read 2110547 cycles Sat Mar 7 13:16:21 2020 cycles contain 7422623 unique relations Sat Mar 7 13:16:52 2020 read 7422623 relations Sat Mar 7 13:17:04 2020 using 20 quadratic characters above 4294917295 Sat Mar 7 13:17:48 2020 building initial matrix Sat Mar 7 13:19:19 2020 memory use: 923.6 MB Sat Mar 7 13:19:20 2020 read 2110547 cycles Sat Mar 7 13:19:20 2020 matrix is 2110370 x 2110547 (777.8 MB) with weight 230905828 (109.41/col) Sat Mar 7 13:19:20 2020 sparse part has weight 180669674 (85.60/col) Sat Mar 7 13:19:45 2020 filtering completed in 2 passes Sat Mar 7 13:19:46 2020 matrix is 2110161 x 2110336 (777.7 MB) with weight 230898133 (109.41/col) Sat Mar 7 13:19:46 2020 sparse part has weight 180667458 (85.61/col) Sat Mar 7 13:19:56 2020 matrix starts at (0, 0) Sat Mar 7 13:19:57 2020 matrix is 2110161 x 2110336 (777.7 MB) with weight 230898133 (109.41/col) Sat Mar 7 13:19:57 2020 sparse part has weight 180667458 (85.61/col) Sat Mar 7 13:19:57 2020 saving the first 240 matrix rows for later Sat Mar 7 13:19:58 2020 matrix includes 256 packed rows Sat Mar 7 13:19:59 2020 matrix is 2109921 x 2110336 (709.8 MB) with weight 162401414 (76.96/col) Sat Mar 7 13:19:59 2020 sparse part has weight 152310800 (72.17/col) Sat Mar 7 13:19:59 2020 using block size 8192 and superblock size 196608 for processor cache size 8192 kB Sat Mar 7 13:20:06 2020 commencing Lanczos iteration (16 threads) Sat Mar 7 13:20:06 2020 memory use: 1051.5 MB Sat Mar 7 13:20:13 2020 linear algebra at 0.1%, ETA 2h17m Sat Mar 7 13:20:15 2020 checkpointing every 920000 dimensions Sat Mar 7 15:39:04 2020 lanczos halted after 8268 iterations (dim = 2109919) Sat Mar 7 15:39:22 2020 recovered 36 nontrivial dependencies Sat Mar 7 15:39:22 2020 BLanczosTime: 8586 Sat Mar 7 15:39:22 2020 elapsed time 02:23:08 Sat Mar 07 15:39:22 2020 -> Running square root step ... Sat Mar 07 15:39:22 2020 -> ./msieve -s ../../12227_191/12227_191.dat -l ../../12227_191/12227_191.log -i ../../12227_191/12227_191.ini -nf ../../12227_191/12227_191.fb -t 16 -nc3 Sat Mar 7 15:39:22 2020 Sat Mar 7 15:39:22 2020 Sat Mar 7 15:39:22 2020 Msieve v. 1.54 (SVN Unversioned directory) Sat Mar 7 15:39:22 2020 random seeds: 35e2b783 b291b00c Sat Mar 7 15:39:22 2020 factoring 28912593789552500957677664130766885708798910977004569318532951083013586518924010954500784439891759433598235477486169657767065605580025818611146069008449345463309897899772550160707 (179 digits) Sat Mar 7 15:39:23 2020 searching for 15-digit factors Sat Mar 7 15:39:24 2020 commencing number field sieve (179-digit input) Sat Mar 7 15:39:24 2020 R0: -100000000000000000000000000000000000000 Sat Mar 7 15:39:24 2020 R1: 1 Sat Mar 7 15:39:24 2020 A0: 43 Sat Mar 7 15:39:24 2020 A1: 0 Sat Mar 7 15:39:24 2020 A2: 0 Sat Mar 7 15:39:24 2020 A3: 0 Sat Mar 7 15:39:24 2020 A4: 0 Sat Mar 7 15:39:24 2020 A5: 110 Sat Mar 7 15:39:24 2020 skew 0.83, size 1.776e-13, alpha 0.622, combined = 2.891e-11 rroots = 1 Sat Mar 7 15:39:24 2020 Sat Mar 7 15:39:24 2020 commencing square root phase Sat Mar 7 15:39:24 2020 reading relations for dependency 1 Sat Mar 7 15:39:25 2020 read 1055838 cycles Sat Mar 7 15:39:27 2020 cycles contain 3713304 unique relations Sat Mar 7 15:39:44 2020 read 3713304 relations Sat Mar 7 15:40:03 2020 multiplying 3713304 relations Sat Mar 7 15:44:02 2020 multiply complete, coefficients have about 109.07 million bits Sat Mar 7 15:44:03 2020 initial square root is modulo 67446571 Sat Mar 7 15:49:16 2020 GCD is N, no factor found Sat Mar 7 15:49:16 2020 reading relations for dependency 2 Sat Mar 7 15:49:17 2020 read 1056345 cycles Sat Mar 7 15:49:19 2020 cycles contain 3712456 unique relations Sat Mar 7 15:49:35 2020 read 3712456 relations Sat Mar 7 15:49:54 2020 multiplying 3712456 relations Sat Mar 7 15:53:51 2020 multiply complete, coefficients have about 109.04 million bits Sat Mar 7 15:53:52 2020 initial square root is modulo 67141951 Sat Mar 7 15:59:05 2020 GCD is 1, no factor found Sat Mar 7 15:59:05 2020 reading relations for dependency 3 Sat Mar 7 15:59:05 2020 read 1054093 cycles Sat Mar 7 15:59:07 2020 cycles contain 3709608 unique relations Sat Mar 7 15:59:24 2020 read 3709608 relations Sat Mar 7 15:59:42 2020 multiplying 3709608 relations Sat Mar 7 16:03:44 2020 multiply complete, coefficients have about 108.96 million bits Sat Mar 7 16:03:44 2020 initial square root is modulo 66252731 Sat Mar 7 16:08:50 2020 sqrtTime: 1766 Sat Mar 7 16:08:50 2020 p68 factor: 22245736980052707312179114308867765430593030265684052251771517086981 Sat Mar 7 16:08:50 2020 p112 factor: 1299691433710549863542644543508720645218167813796632203678243271691734259341874088184612432032270090995330164647 Sat Mar 7 16:08:50 2020 elapsed time 00:29:28 Sat Mar 07 16:08:51 2020 -> Computing time scale for this machine... Sat Mar 07 16:08:51 2020 -> procrels -speedtest> PIPE```

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaFebruary 1, 2008 09:00:00 UTC 2008 年 2 月 1 日 (金) 18 時 0 分 0 秒 (日本時間)
351e6400100Rich DickersonOctober 2, 2010 14:40:26 UTC 2010 年 10 月 2 日 (土) 23 時 40 分 26 秒 (日本時間)
300Ignacio SantosOctober 3, 2010 08:29:29 UTC 2010 年 10 月 3 日 (日) 17 時 29 分 29 秒 (日本時間)
403e61210100Rich DickersonOctober 2, 2010 15:44:35 UTC 2010 年 10 月 3 日 (日) 0 時 44 分 35 秒 (日本時間)
110Ignacio SantosOctober 3, 2010 08:29:29 UTC 2010 年 10 月 3 日 (日) 17 時 29 分 29 秒 (日本時間)
1000Dmitry DomanovMay 15, 2012 17:29:13 UTC 2012 年 5 月 16 日 (水) 2 時 29 分 13 秒 (日本時間)
4511e6332 / 335132Ignacio SantosOctober 3, 2010 08:29:29 UTC 2010 年 10 月 3 日 (日) 17 時 29 分 29 秒 (日本時間)
300Dmitry DomanovMay 16, 2012 09:01:15 UTC 2012 年 5 月 16 日 (水) 18 時 1 分 15 秒 (日本時間)
5043e6240 / 7431Dmitry DomanovJune 2, 2012 13:31:07 UTC 2012 年 6 月 2 日 (土) 22 時 31 分 7 秒 (日本時間)

11×10192+439

c133

name 名前 Sinkiti Sibata May 7, 2011 10:25:47 UTC 2011 年 5 月 7 日 (土) 19 時 25 分 47 秒 (日本時間) `3589226316010269059681018830007721984837214523215582227384325089871286371163106679189583897384898038294948828315383364247681736825979<133>` ```2911603638748899078062843386048247617648166958011<49> 1232731773048800322781434160497829759804827559035853900921341193128650526494151233089<85>``` ```Number: 12227_192 N=3589226316010269059681018830007721984837214523215582227384325089871286371163106679189583897384898038294948828315383364247681736825979 ( 133 digits) Divisors found: r1=2911603638748899078062843386048247617648166958011 (pp49) r2=1232731773048800322781434160497829759804827559035853900921341193128650526494151233089 (pp85) Version: Msieve v. 1.42 Total time: 14.95 hours. Scaled time: 11.90 units (timescale=0.796). Factorization parameters were as follows: name: 12227_192 # Murphy_E = 4.935274e-11, selected by Jeff Gilchrist n: 3589226316010269059681018830007721984837214523215582227384325089871286371163106679189583897384898038294948828315383364247681736825979 Y0: -36440474323719319440392826 Y1: 505688140775389 c0: -502227190342180189471169239301725 c1: -5417889269507151383021670396 c2: 34162140871409488798295 c3: 219796156129478268 c4: -187174948702 c5: 55860 skew: 419466.24 type: gnfs # selected mechanically rlim: 11500000 alim: 11500000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.6 alambda: 2.6 Factor base limits: 11500000/11500000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 54/54 Sieved algebraic special-q in [5750000, 14050001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 1898176 x 1898419 Total sieving time: 0.00 hours. Total relation processing time: 0.24 hours. Matrix solve time: 12.70 hours. Time per square root: 2.00 hours. Prototype def-par.txt line would be: gnfs,132,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,11500000,11500000,28,28,54,54,2.6,2.6,100000 total time: 14.95 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 CPU 6300 @ 1.86GHz stepping 02 CPU1: Intel(R) Core(TM)2 CPU 6300 @ 1.86GHz stepping 02 Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.29 BogoMIPS (lpj=1860648) Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860574) Total of 2 processors activated (7442.44 BogoMIPS). Total time: 10 days.```

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaFebruary 1, 2008 09:00:00 UTC 2008 年 2 月 1 日 (金) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336Wataru SakaiMay 2, 2009 06:18:07 UTC 2009 年 5 月 2 日 (土) 15 時 18 分 7 秒 (日本時間)
4511e64200Wataru SakaiAugust 23, 2010 12:10:18 UTC 2010 年 8 月 23 日 (月) 21 時 10 分 18 秒 (日本時間)
5043e6325 / 6522Rich DickersonOctober 3, 2010 14:24:00 UTC 2010 年 10 月 3 日 (日) 23 時 24 分 0 秒 (日本時間)

11×10194+439

c166

name 名前 Dmitry Domanov June 10, 2012 18:04:04 UTC 2012 年 6 月 11 日 (月) 3 時 4 分 4 秒 (日本時間) `7491437589862158752764970817483965816084980373676026792658421413065214777641128603867447162973945999960635707588751546439656936936058708488229619308959890159410630587<166>` ```5621215615536152865517400692707304962507057091<46> 1332707745484269895974510628985013245064273800058681915881739794384723197540126380319902016735780503492962544100220940457<121>``` ```Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2577768332 Step 1 took 314186ms Step 2 took 66735ms ********** Factor found in step 2: 5621215615536152865517400692707304962507057091 Found probable prime factor of 46 digits: 5621215615536152865517400692707304962507057091```

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaFebruary 1, 2008 09:00:00 UTC 2008 年 2 月 1 日 (金) 18 時 0 分 0 秒 (日本時間)
351e6500100Rich DickersonOctober 2, 2010 14:41:43 UTC 2010 年 10 月 2 日 (土) 23 時 41 分 43 秒 (日本時間)
100Rich DickersonOctober 2, 2010 14:53:58 UTC 2010 年 10 月 2 日 (土) 23 時 53 分 58 秒 (日本時間)
300Ignacio SantosOctober 3, 2010 08:30:15 UTC 2010 年 10 月 3 日 (日) 17 時 30 分 15 秒 (日本時間)
403e61110110Ignacio SantosOctober 3, 2010 08:30:15 UTC 2010 年 10 月 3 日 (日) 17 時 30 分 15 秒 (日本時間)
1000Dmitry DomanovMay 15, 2012 17:29:22 UTC 2012 年 5 月 16 日 (水) 2 時 29 分 22 秒 (日本時間)
4511e6332 / 231632Ignacio SantosOctober 3, 2010 08:30:15 UTC 2010 年 10 月 3 日 (日) 17 時 30 分 15 秒 (日本時間)
300Dmitry DomanovMay 16, 2012 09:01:45 UTC 2012 年 5 月 16 日 (水) 18 時 1 分 45 秒 (日本時間)
5043e6540 / 7434240Dmitry DomanovJune 2, 2012 13:31:29 UTC 2012 年 6 月 2 日 (土) 22 時 31 分 29 秒 (日本時間)
300Dmitry DomanovJune 9, 2012 08:47:20 UTC 2012 年 6 月 9 日 (土) 17 時 47 分 20 秒 (日本時間)

11×10196+439

c182

name 名前 Serge Batalov November 5, 2008 06:34:26 UTC 2008 年 11 月 5 日 (水) 15 時 34 分 26 秒 (日本時間) `96528121724718515231076472662050586383731989940860628197082415131614296614828590316213722485173427671816699673177103146057234359401202747436413777250720784452212715312846742303866761<182>` ```6008741759849951709826487049587<31> 16064614786695207086436049790472937530349258514440848160108671782788638591989327765703152163679992909068260214239814718499452514400361031807712665514003<152>``` ```Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1330018205 Step 1 took 23833ms Step 2 took 15449ms ********** Factor found in step 2: 6008741759849951709826487049587 Found probable prime factor of 31 digits: 6008741759849951709826487049587 Probable prime cofactor 16064614786695207086436049790472937530349258514440848160108671782788638591989327765703152163679992909068260214239814718499452514400361031807712665514003 has 152 digits``` `GMP-ECM 6.2.1`

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaFebruary 1, 2008 09:00:00 UTC 2008 年 2 月 1 日 (金) 18 時 0 分 0 秒 (日本時間)

11×10199+439

c150

name 名前 Ignacio Santos August 5, 2021 09:49:12 UTC 2021 年 8 月 5 日 (木) 18 時 49 分 12 秒 (日本時間) `115886089311405565525703733891960416256369000292382679591178847688610026885332058479340011680220309054994460937121187319820283373106393888000439520539<150>` ```58252347521633465621106040192179432779208883259087<50> 1989380587080518411516404343666848815503209816928056151579646462337735497868150310753470711279249397<100>``` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:724960753 Step 1 took 21672ms Step 2 took 10812ms ********** Factor found in step 2: 58252347521633465621106040192179432779208883259087 Found prime factor of 50 digits: 58252347521633465621106040192179432779208883259087 Prime cofactor 1989380587080518411516404343666848815503209816928056151579646462337735497868150310753470711279249397 has 100 digits ``` `GMP-ECM`

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaFebruary 1, 2008 09:00:00 UTC 2008 年 2 月 1 日 (金) 18 時 0 分 0 秒 (日本時間)
351e6100Rich DickersonOctober 2, 2010 14:55:02 UTC 2010 年 10 月 2 日 (土) 23 時 55 分 2 秒 (日本時間)
403e61300300Rich DickersonOctober 2, 2010 17:18:30 UTC 2010 年 10 月 3 日 (日) 2 時 18 分 30 秒 (日本時間)
1000Dmitry DomanovMay 15, 2012 17:29:31 UTC 2012 年 5 月 16 日 (水) 2 時 29 分 31 秒 (日本時間)
4511e6332 / 2292182Rich DickersonOctober 2, 2010 21:34:53 UTC 2010 年 10 月 3 日 (日) 6 時 34 分 53 秒 (日本時間)
150Dmitry DomanovMay 16, 2012 09:02:14 UTC 2012 年 5 月 16 日 (水) 18 時 2 分 14 秒 (日本時間)
5043e6540 / 7429240Dmitry DomanovJune 2, 2012 13:31:54 UTC 2012 年 6 月 2 日 (土) 22 時 31 分 54 秒 (日本時間)
300Dmitry DomanovJune 9, 2012 08:47:05 UTC 2012 年 6 月 9 日 (土) 17 時 47 分 5 秒 (日本時間)

11×10201+439

c201

name 名前 Serge Batalov May 8, 2012 06:51:24 UTC 2012 年 5 月 8 日 (火) 15 時 51 分 24 秒 (日本時間) `407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407409<201>` `42819653378254423532478529651532516334809<41>` `9514495687494415845265120482917468181841428646380836887865524893842139817207581693282928597653920762822918488566265500658361154721118685624788767879958508261401<160>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=360820367 Step 1 took 16793ms Step 2 took 6745ms ********** Factor found in step 2: 42819653378254423532478529651532516334809 Found probable prime factor of 41 digits: 42819653378254423532478529651532516334809 Composite cofactor 951449568749... has 160 digits```

c160

name 名前 Dmitry Domanov June 1, 2012 12:06:43 UTC 2012 年 6 月 1 日 (金) 21 時 6 分 43 秒 (日本時間) `9514495687494415845265120482917468181841428646380836887865524893842139817207581693282928597653920762822918488566265500658361154721118685624788767879958508261401<160>` ```6400782907999646456438557684902248842276458576533<49> 1213930642585931648753600050677480458010190425920347<52> 1224500034460454146188880623799964077259089006404862168291951<61>``` ```Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2265881494 Step 1 took 303227ms Step 2 took 82984ms ********** Factor found in step 2: 6400782907999646456438557684902248842276458576533 Found probable prime factor of 49 digits: 6400782907999646456438557684902248842276458576533 Composite cofactor 1486458113679074549384883685639709426832854674287771313175874683882172113959530134100118098532570186770167226997 has 112 digits gnfs with yafu: Fri Jun 1 15:39:07 2012 commencing relation filtering Fri Jun 1 15:39:07 2012 estimated available RAM is 24048.2 MB Fri Jun 1 15:39:07 2012 commencing duplicate removal, pass 1 Fri Jun 1 15:41:20 2012 found 646457 hash collisions in 6975303 relations Fri Jun 1 15:41:38 2012 added 246 free relations Fri Jun 1 15:41:38 2012 commencing duplicate removal, pass 2 Fri Jun 1 15:41:43 2012 found 383667 duplicates and 6591882 unique relations Fri Jun 1 15:41:43 2012 memory use: 24.6 MB Fri Jun 1 15:41:43 2012 reading ideals above 100000 Fri Jun 1 15:41:43 2012 commencing singleton removal, initial pass Fri Jun 1 15:44:30 2012 memory use: 172.2 MB Fri Jun 1 15:44:30 2012 reading all ideals from disk Fri Jun 1 15:44:30 2012 memory use: 223.8 MB Fri Jun 1 15:44:31 2012 keeping 6271856 ideals with weight <= 200, target excess is 34690 Fri Jun 1 15:44:32 2012 commencing in-memory singleton removal Fri Jun 1 15:44:32 2012 begin with 6591882 relations and 6271856 unique ideals Fri Jun 1 15:44:39 2012 reduce to 3785984 relations and 3112598 ideals in 12 passes Fri Jun 1 15:44:39 2012 max relations containing the same ideal: 142 Fri Jun 1 15:44:41 2012 removing 1182393 relations and 865820 ideals in 316573 cliques Fri Jun 1 15:44:43 2012 commencing in-memory singleton removal Fri Jun 1 15:44:43 2012 begin with 2603591 relations and 3112598 unique ideals Fri Jun 1 15:44:45 2012 reduce to 2395161 relations and 2017636 ideals in 8 passes Fri Jun 1 15:44:45 2012 max relations containing the same ideal: 102 Fri Jun 1 15:44:47 2012 removing 889555 relations and 572982 ideals in 316573 cliques Fri Jun 1 15:44:48 2012 commencing in-memory singleton removal Fri Jun 1 15:44:49 2012 begin with 1505606 relations and 2017636 unique ideals Fri Jun 1 15:44:50 2012 reduce to 1295446 relations and 1204300 ideals in 9 passes Fri Jun 1 15:44:50 2012 max relations containing the same ideal: 70 Fri Jun 1 15:44:51 2012 removing 224232 relations and 173327 ideals in 50905 cliques Fri Jun 1 15:44:51 2012 commencing in-memory singleton removal Fri Jun 1 15:44:51 2012 begin with 1071214 relations and 1204300 unique ideals Fri Jun 1 15:44:52 2012 reduce to 1046142 relations and 1004897 ideals in 10 passes Fri Jun 1 15:44:52 2012 max relations containing the same ideal: 57 Fri Jun 1 15:44:54 2012 relations with 0 large ideals: 113 Fri Jun 1 15:44:54 2012 relations with 1 large ideals: 365 Fri Jun 1 15:44:54 2012 relations with 2 large ideals: 4634 Fri Jun 1 15:44:54 2012 relations with 3 large ideals: 32563 Fri Jun 1 15:44:54 2012 relations with 4 large ideals: 117525 Fri Jun 1 15:44:54 2012 relations with 5 large ideals: 243516 Fri Jun 1 15:44:54 2012 relations with 6 large ideals: 302591 Fri Jun 1 15:44:54 2012 relations with 7+ large ideals: 344835 Fri Jun 1 15:44:54 2012 commencing 2-way merge Fri Jun 1 15:44:55 2012 reduce to 676761 relation sets and 635516 unique ideals Fri Jun 1 15:44:55 2012 commencing full merge Fri Jun 1 15:45:09 2012 memory use: 77.9 MB Fri Jun 1 15:45:09 2012 found 337674 cycles, need 331716 Fri Jun 1 15:45:09 2012 weight of 331716 cycles is about 23242341 (70.07/cycle) Fri Jun 1 15:45:09 2012 distribution of cycle lengths: Fri Jun 1 15:45:09 2012 1 relations: 31342 Fri Jun 1 15:45:09 2012 2 relations: 34312 Fri Jun 1 15:45:09 2012 3 relations: 36829 Fri Jun 1 15:45:09 2012 4 relations: 36119 Fri Jun 1 15:45:09 2012 5 relations: 33712 Fri Jun 1 15:45:09 2012 6 relations: 30510 Fri Jun 1 15:45:09 2012 7 relations: 26510 Fri Jun 1 15:45:09 2012 8 relations: 22644 Fri Jun 1 15:45:09 2012 9 relations: 18760 Fri Jun 1 15:45:09 2012 10+ relations: 60978 Fri Jun 1 15:45:09 2012 heaviest cycle: 20 relations Fri Jun 1 15:45:10 2012 commencing cycle optimization Fri Jun 1 15:45:11 2012 start with 1997329 relations Fri Jun 1 15:45:15 2012 pruned 61486 relations Fri Jun 1 15:45:16 2012 memory use: 62.9 MB Fri Jun 1 15:45:16 2012 distribution of cycle lengths: Fri Jun 1 15:45:16 2012 1 relations: 31342 Fri Jun 1 15:45:16 2012 2 relations: 35156 Fri Jun 1 15:45:16 2012 3 relations: 38318 Fri Jun 1 15:45:16 2012 4 relations: 37186 Fri Jun 1 15:45:16 2012 5 relations: 35005 Fri Jun 1 15:45:16 2012 6 relations: 31296 Fri Jun 1 15:45:16 2012 7 relations: 27103 Fri Jun 1 15:45:16 2012 8 relations: 22771 Fri Jun 1 15:45:16 2012 9 relations: 18577 Fri Jun 1 15:45:16 2012 10+ relations: 54962 Fri Jun 1 15:45:16 2012 heaviest cycle: 20 relations Fri Jun 1 15:45:16 2012 RelProcTime: 369 Fri Jun 1 15:45:16 2012 Fri Jun 1 15:45:16 2012 commencing linear algebra Fri Jun 1 15:45:16 2012 read 331716 cycles Fri Jun 1 15:45:18 2012 cycles contain 1014944 unique relations Fri Jun 1 15:45:43 2012 read 1014944 relations Fri Jun 1 15:45:45 2012 using 20 quadratic characters above 67108838 Fri Jun 1 15:45:52 2012 building initial matrix Fri Jun 1 15:46:18 2012 memory use: 131.0 MB Fri Jun 1 15:46:18 2012 read 331716 cycles Fri Jun 1 15:46:19 2012 matrix is 331539 x 331716 (98.5 MB) with weight 30640966 (92.37/col) Fri Jun 1 15:46:19 2012 sparse part has weight 22166284 (66.82/col) Fri Jun 1 15:46:29 2012 filtering completed in 2 passes Fri Jun 1 15:46:29 2012 matrix is 331338 x 331514 (98.5 MB) with weight 30631832 (92.40/col) Fri Jun 1 15:46:29 2012 sparse part has weight 22162584 (66.85/col) Fri Jun 1 15:46:30 2012 matrix starts at (0, 0) Fri Jun 1 15:46:30 2012 matrix is 331338 x 331514 (98.5 MB) with weight 30631832 (92.40/col) Fri Jun 1 15:46:30 2012 sparse part has weight 22162584 (66.85/col) Fri Jun 1 15:46:30 2012 saving the first 48 matrix rows for later Fri Jun 1 15:46:30 2012 matrix includes 64 packed rows Fri Jun 1 15:46:31 2012 matrix is 331290 x 331514 (93.9 MB) with weight 24121780 (72.76/col) Fri Jun 1 15:46:31 2012 sparse part has weight 21297032 (64.24/col) Fri Jun 1 15:46:31 2012 using block size 65536 for processor cache size 12288 kB Fri Jun 1 15:46:39 2012 commencing Lanczos iteration (16 threads) Fri Jun 1 15:46:39 2012 memory use: 109.8 MB Fri Jun 1 15:46:41 2012 checkpointing every 3650000 dimensions Fri Jun 1 15:46:52 2012 linear algebra at 3.7%, ETA 0h 5m Fri Jun 1 15:51:55 2012 lanczos halted after 5241 iterations (dim = 331290) Fri Jun 1 15:51:56 2012 recovered 29 nontrivial dependencies Fri Jun 1 15:51:56 2012 BLanczosTime: 400 Fri Jun 1 15:51:56 2012 Fri Jun 1 15:51:56 2012 commencing square root phase Fri Jun 1 15:51:56 2012 reading relations for dependency 1 Fri Jun 1 15:51:56 2012 read 165766 cycles Fri Jun 1 15:51:57 2012 cycles contain 507670 unique relations Fri Jun 1 15:52:10 2012 read 507670 relations Fri Jun 1 15:52:13 2012 multiplying 507670 relations Fri Jun 1 15:53:12 2012 multiply complete, coefficients have about 22.07 million bits Fri Jun 1 15:53:13 2012 initial square root is modulo 2183107 Fri Jun 1 15:54:35 2012 GCD is N, no factor found Fri Jun 1 15:54:35 2012 reading relations for dependency 2 Fri Jun 1 15:54:35 2012 read 166066 cycles Fri Jun 1 15:54:36 2012 cycles contain 508228 unique relations Fri Jun 1 15:54:50 2012 read 508228 relations Fri Jun 1 15:54:53 2012 multiplying 508228 relations Fri Jun 1 15:55:52 2012 multiply complete, coefficients have about 22.09 million bits Fri Jun 1 15:55:52 2012 initial square root is modulo 2216857 Fri Jun 1 15:57:04 2012 GCD is 1, no factor found Fri Jun 1 15:57:04 2012 reading relations for dependency 3 Fri Jun 1 15:57:04 2012 read 165874 cycles Fri Jun 1 15:57:05 2012 cycles contain 507500 unique relations Fri Jun 1 15:57:17 2012 read 507500 relations Fri Jun 1 15:57:19 2012 multiplying 507500 relations Fri Jun 1 15:58:10 2012 multiply complete, coefficients have about 22.06 million bits Fri Jun 1 15:58:10 2012 initial square root is modulo 2171219 Fri Jun 1 15:59:21 2012 sqrtTime: 445 prp52 = 1213930642585931648753600050677480458010190425920347 prp61 = 1224500034460454146188880623799964077259089006404862168291951 NFS elapsed time = 7895.7319 seconds.```

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 5, 2012 01:00:00 UTC 2012 年 5 月 5 日 (土) 10 時 0 分 0 秒 (日本時間)
403e61300300Serge BatalovMay 8, 2012 06:14:07 UTC 2012 年 5 月 8 日 (火) 15 時 14 分 7 秒 (日本時間)
1000Dmitry DomanovMay 15, 2012 17:29:40 UTC 2012 年 5 月 16 日 (水) 2 時 29 分 40 秒 (日本時間)
4511e6300 / 3065Dmitry DomanovMay 16, 2012 09:03:01 UTC 2012 年 5 月 16 日 (水) 18 時 3 分 1 秒 (日本時間)
5043e6320 / 7436Dmitry DomanovMay 31, 2012 22:03:35 UTC 2012 年 6 月 1 日 (金) 7 時 3 分 35 秒 (日本時間)

11×10204+439

c197

name 名前 Bob Backstrom May 8, 2021 08:39:45 UTC 2021 年 5 月 8 日 (土) 17 時 39 分 45 秒 (日本時間) `78426321390651538286307734632677811203788921031560227568373439448994347479923093438124587669159247661432258698090411046823629534077851513492182710257242398070718197522436932814159641325917311863971<197>` ```7193555653629378742653622832302565781959227236640081384793858235548315505466011190918534759<91> 10902302723004993022811841959045064465931308198002716700496568478662816122559323337625133252525880282618469<107>``` ```Number: n N=78426321390651538286307734632677811203788921031560227568373439448994347479923093438124587669159247661432258698090411046823629534077851513492182710257242398070718197522436932814159641325917311863971 ( 197 digits) SNFS difficulty: 205 digits. Divisors found: Sat May 8 18:34:31 2021 p91 factor: 7193555653629378742653622832302565781959227236640081384793858235548315505466011190918534759 Sat May 8 18:34:31 2021 p107 factor: 10902302723004993022811841959045064465931308198002716700496568478662816122559323337625133252525880282618469 Sat May 8 18:34:31 2021 elapsed time 02:20:42 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.344). Factorization parameters were as follows: # # N = 11x10^204+43 = 12(203)7 # n: 78426321390651538286307734632677811203788921031560227568373439448994347479923093438124587669159247661432258698090411046823629534077851513492182710257242398070718197522436932814159641325917311863971 m: 50000000000000000000000000000000000000000 deg: 5 c5: 176 c0: 215 skew: 1.04 # Murphy_E = 8.528e-12 type: snfs lss: 1 rlim: 18800000 alim: 18800000 lpbr: 29 lpba: 29 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 18800000/18800000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 56/56 Sieved special-q in [100000, 36600000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 7537965 hash collisions in 53842849 relations (48279574 unique) Msieve: matrix is 2391148 x 2391374 (836.5 MB) Sieving start time : 2021/05/08 04:42:53 Sieving end time : 2021/05/08 16:12:42 Total sieving time: 11hrs 29min 49secs. Total relation processing time: 2hrs 3min 3sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 3min 24sec. Prototype def-par.txt line would be: snfs,205,5,0,0,0,0,0,0,0,0,18800000,18800000,29,29,56,56,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.118393] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16241108K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486128K reserved, 0K cma-reserved) [ 0.153523] x86/mm: Memory block size: 128MB [ 0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.30 BogoMIPS (lpj=12798612) [ 0.152049] smpboot: Total of 16 processors activated (102388.89 BogoMIPS)```

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 5, 2012 01:00:00 UTC 2012 年 5 月 5 日 (土) 10 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiMay 15, 2012 02:59:42 UTC 2012 年 5 月 15 日 (火) 11 時 59 分 42 秒 (日本時間)
4511e60 / 1507--
5043e6700 / 7465400Dmitry DomanovMay 31, 2012 22:04:39 UTC 2012 年 6 月 1 日 (金) 7 時 4 分 39 秒 (日本時間)
300Dmitry DomanovJune 9, 2012 08:40:16 UTC 2012 年 6 月 9 日 (土) 17 時 40 分 16 秒 (日本時間)

11×10205+439

c203

name 名前 Robert Backstrom July 3, 2012 05:32:21 UTC 2012 年 7 月 3 日 (火) 14 時 32 分 21 秒 (日本時間) `20336476243298206692549454612682566093547790719171750785727491218339804030319837308190053614346459604363098539471251617674246625993714180070253281567757441301534479571085228323165095211684229987058606027<203>` ```103654394525632745408220386551695031898723603<45> 196195022279245378603851004080194882339184670639648583314328432631516379213419230542500240807496045817230362680490383023768461473657525080177099676627792591209<159>``` ```Number: n N=20336476243298206692549454612682566093547790719171750785727491218339804030319837308190053614346459604363098539471251617674246625993714180070253281567757441301534479571085228323165095211684229987058606027 ( 203 digits) SNFS difficulty: 206 digits. Divisors found: Tue Jul 3 15:23:13 2012 prp45 factor: 103654394525632745408220386551695031898723603 Tue Jul 3 15:23:13 2012 prp159 factor: 196195022279245378603851004080194882339184670639648583314328432631516379213419230542500240807496045817230362680490383023768461473657525080177099676627792591209 Tue Jul 3 15:23:13 2012 elapsed time 08:19:39 (Msieve 1.44 - dependency 3) Version: GGNFS-0.77.1-20060513-nocona Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.095). Factorization parameters were as follows: name: KA_12227_205 n: 20336476243298206692549454612682566093547790719171750785727491218339804030319837308190053614346459604363098539471251617674246625993714180070253281567757441301534479571085228323165095211684229987058606027 m: 100000000000000000000000000000000000000000 # c203, diff: 206.04 skew: 1.313 deg: 5 c5: 11 c0: 43 # Murphy_E = 8.931e-12 type: snfs lss: 1 rlim: 19000000 alim: 19000000 lpbr: 28 lpba: 28 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 qintsize: 100000 Factor base limits: 19000000/19000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 56/56 Sieved special-q in [100000, 36100000) Primes: RFBsize:1211050, AFBsize:1210913, Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 8184677 hash collisions in 44690486 relations (37330249 unique) Msieve: matrix is 2301365 x 2301591 (647.2 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: snfs,206,5,0,0,0,0,0,0,0,0,19000000,19000000,28,28,56,56,2.6,2.6,100000 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.. 5661.11 BogoMIPS (lpj=2830559) Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830449) Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830459) Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830459) Total of 4 processors activated (22643.85 BogoMIPS).```

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 5, 2012 01:00:00 UTC 2012 年 5 月 5 日 (土) 10 時 0 分 0 秒 (日本時間)
403e623181800Serge BatalovMay 8, 2012 08:52:51 UTC 2012 年 5 月 8 日 (火) 17 時 52 分 51 秒 (日本時間)
518Wataru SakaiMay 14, 2012 11:48:34 UTC 2012 年 5 月 14 日 (月) 20 時 48 分 34 秒 (日本時間)
4511e64000Wataru SakaiMay 29, 2012 06:39:57 UTC 2012 年 5 月 29 日 (火) 15 時 39 分 57 秒 (日本時間)

11×10206+439

c174

name 名前 Dmitry Domanov June 12, 2012 14:03:22 UTC 2012 年 6 月 12 日 (火) 23 時 3 分 22 秒 (日本時間) `139001690154504683913783662203149704495920161554543430129196270985235374350347515294913399512309584845630161932385925877575355471817108093175914715586760464389571862919391697<174>` ```2228135616012949906737242249709243373497213677767<49> 1339880863946461351516773976551876788059313393102457709<55> 46559925380753674540845604927912038017954170155270463416187212888982499<71>``` ```Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=4243552914 Step 1 took 287962ms Step 2 took 84207ms ********** Factor found in step 2: 2228135616012949906737242249709243373497213677767 Found probable prime factor of 49 digits: 2228135616012949906737242249709243373497213677767 Composite cofactor 62384753044447006936597607871681602550563527856180183798024660639535958207312193724539901017491506812982951681009525188634791 has 125 digits N=62384753044447006936597607871681602550563527856180183798024660639535958207312193724539901017491506812982951681009525188634791 ( 125 digits) Divisors found: r1=1339880863946461351516773976551876788059313393102457709 (pp55) r2=46559925380753674540845604927912038017954170155270463416187212888982499 (pp71) Version: Msieve-1.40 Total time: 124.79 hours. Scaled time: 245.71 units (timescale=1.969). Factorization parameters were as follows: n: 62384753044447006936597607871681602550563527856180183798024660639535958207312193724539901017491506812982951681009525188634791 skew: 417177.74 c0: -22716241081459350347063918666655 c1: 198270862614542467038696183 c2: 1191794382337853085127 c3: -1750902659691343 c4: -6822458048 c5: 6384 Y0: -1577602196062214250249512 Y1: 6556331300207 rlim: 5500000 alim: 5500000 lpbr: 27 lpba: 27 mfbr: 54 mfba: 54 rlambda: 2.500000 alambda: 2.500000 type:gnfs qintsize: 240000 Factor base limits: 5500000/5500000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 54/54 Sieved rational special-q in [2750000, 19310001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 1171634 x 1171859 Total sieving time: 123.06 hours. Total relation processing time: 0.10 hours. Matrix solve time: 1.43 hours. Time per square root: 0.20 hours. Prototype def-par.txt line would be: type:gnfs,124,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5500000,5500000,27,27,54,54,2.500000,2.500000, total time: 124.79 hours. --------- CPU info (if available) ----------```

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 5, 2012 01:00:00 UTC 2012 年 5 月 5 日 (土) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 15, 2012 17:30:01 UTC 2012 年 5 月 16 日 (水) 2 時 30 分 1 秒 (日本時間)
4511e6600 / 1974Dmitry DomanovMay 16, 2012 22:04:13 UTC 2012 年 5 月 17 日 (木) 7 時 4 分 13 秒 (日本時間)
5043e6650 / 7380350Dmitry DomanovMay 31, 2012 22:06:04 UTC 2012 年 6 月 1 日 (金) 7 時 6 分 4 秒 (日本時間)
300Dmitry DomanovJune 9, 2012 08:40:32 UTC 2012 年 6 月 9 日 (土) 17 時 40 分 32 秒 (日本時間)

11×10208+439

c195

name 名前 Dmitry Domanov May 17, 2012 07:52:02 UTC 2012 年 5 月 17 日 (木) 16 時 52 分 2 秒 (日本時間) `295334348359045610243334313068494685068044598153992061395201026099361374342334092819351392540993535103156215839245278668828557812549877889501834554179857713192373267958874441374925054845309635293<195>` `2139402933574064545653236638092945605419723<43>` `138045219871538216601191587209783018962186126422018614587202791595895887408778051790230017157856267437969600538520804448198200661419721132382278971673591<153>` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1130722672 Step 1 took 104366ms Step 2 took 32582ms ********** Factor found in step 2: 2139402933574064545653236638092945605419723 Found probable prime factor of 43 digits: 2139402933574064545653236638092945605419723```

c153

name 名前 Dmitry Domanov June 1, 2012 05:41:05 UTC 2012 年 6 月 1 日 (金) 14 時 41 分 5 秒 (日本時間) `138045219871538216601191587209783018962186126422018614587202791595895887408778051790230017157856267437969600538520804448198200661419721132382278971673591<153>` ```28965534565064530909909202624084470389563<41> 4765844026163260016799829234014022325001590457699373237092773046422971263947916210009852342191950845619114749557<112>``` ```Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1655070394 Step 1 took 325584ms Step 2 took 93522ms ********** Factor found in step 2: 28965534565064530909909202624084470389563 Found probable prime factor of 41 digits: 28965534565064530909909202624084470389563```

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 5, 2012 01:00:00 UTC 2012 年 5 月 5 日 (土) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 15, 2012 17:30:11 UTC 2012 年 5 月 16 日 (水) 2 時 30 分 11 秒 (日本時間)
4511e6600 / 2851Dmitry DomanovMay 16, 2012 22:03:48 UTC 2012 年 5 月 17 日 (木) 7 時 3 分 48 秒 (日本時間)
5043e6400 / 7380Dmitry DomanovMay 31, 2012 22:06:37 UTC 2012 年 6 月 1 日 (金) 7 時 6 分 37 秒 (日本時間)

11×10209+439

c182

name 名前 Dmitry Domanov June 1, 2012 09:43:44 UTC 2012 年 6 月 1 日 (金) 18 時 43 分 44 秒 (日本時間) `72943069360416497151557501091951165038992763322190971859184565668388662234962108364474894753139244172222579738336643544899934446036563924719086823178486250126862729537390550345163481<182>` ```220718444644300686108698341898315301095059<42> 330480171142779060815347636415447959037815916818886892042345276793376241264893106884699177732166443463269036469233014430865738957727183145059<141>``` ```Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1521927009 Step 1 took 463115ms Step 2 took 115749ms ********** Factor found in step 2: 220718444644300686108698341898315301095059 Found probable prime factor of 42 digits: 220718444644300686108698341898315301095059```

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 5, 2012 01:00:00 UTC 2012 年 5 月 5 日 (土) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 15, 2012 17:30:20 UTC 2012 年 5 月 16 日 (水) 2 時 30 分 20 秒 (日本時間)
4511e6600 / 2851Dmitry DomanovMay 16, 2012 22:03:25 UTC 2012 年 5 月 17 日 (木) 7 時 3 分 25 秒 (日本時間)
5043e6400 / 7380Dmitry DomanovMay 31, 2012 22:07:14 UTC 2012 年 6 月 1 日 (金) 7 時 7 分 14 秒 (日本時間)

11×10210+439

c183

composite cofactor 合成数の残り `351370891752328328047410552218463505443498455180728256030998553885265611911623463128794458146469185286468194954132093399650180143421751978856720547414331232927226498296874389749705211<183>`

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 5, 2012 01:00:00 UTC 2012 年 5 月 5 日 (土) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 15, 2012 17:30:29 UTC 2012 年 5 月 16 日 (水) 2 時 30 分 29 秒 (日本時間)
4511e6600 / 2149Dmitry DomanovMay 16, 2012 22:03:01 UTC 2012 年 5 月 17 日 (木) 7 時 3 分 1 秒 (日本時間)
5043e6600 / 7380Dmitry DomanovMay 31, 2012 22:07:52 UTC 2012 年 6 月 1 日 (金) 7 時 7 分 52 秒 (日本時間)

11×10211+439

c195

composite cofactor 合成数の残り `591989261217473055461977788029715880458340760596398248752928498163317700572801119994592730224186249237923358963734054103655620517986718963752327158089215380425976995895392860855040063621562780197<195>`

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 5, 2012 01:00:00 UTC 2012 年 5 月 5 日 (土) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 15, 2012 17:30:38 UTC 2012 年 5 月 16 日 (水) 2 時 30 分 38 秒 (日本時間)
4511e6600 / 2289Dmitry DomanovMay 16, 2012 22:02:35 UTC 2012 年 5 月 17 日 (木) 7 時 2 分 35 秒 (日本時間)
5043e6560 / 7380Dmitry DomanovMay 31, 2012 22:08:31 UTC 2012 年 6 月 1 日 (金) 7 時 8 分 31 秒 (日本時間)

11×10213+439

c175

composite cofactor 合成数の残り `4553183081643266116835654549921184999714955985124358017895480513447471152327181375258314082221029546346650101665070421546789795239264590621057886865811699316401678459736983173<175>`

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 5, 2012 01:00:00 UTC 2012 年 5 月 5 日 (土) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 15, 2012 17:33:19 UTC 2012 年 5 月 16 日 (水) 2 時 33 分 19 秒 (日本時間)
4511e6600 / 2149Dmitry DomanovMay 16, 2012 22:02:07 UTC 2012 年 5 月 17 日 (木) 7 時 2 分 7 秒 (日本時間)
5043e6600 / 7380Dmitry DomanovMay 31, 2012 22:09:09 UTC 2012 年 6 月 1 日 (金) 7 時 9 分 9 秒 (日本時間)

11×10214+439

c189

composite cofactor 合成数の残り `100287448019013216455384923411682573634567410909792059660266499603239565337749795640657841312284660774741678855218843916486665797203716649072610066364650528675544943227004155616675807539003<189>`

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 5, 2012 01:00:00 UTC 2012 年 5 月 5 日 (土) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 15, 2012 17:33:27 UTC 2012 年 5 月 16 日 (水) 2 時 33 分 27 秒 (日本時間)
4511e6600 / 2149Dmitry DomanovMay 16, 2012 22:01:34 UTC 2012 年 5 月 17 日 (木) 7 時 1 分 34 秒 (日本時間)
5043e6600 / 7380Dmitry DomanovMay 31, 2012 22:09:36 UTC 2012 年 6 月 1 日 (金) 7 時 9 分 36 秒 (日本時間)

11×10215+439

c191

name 名前 Dmitry Domanov May 16, 2012 06:26:21 UTC 2012 年 5 月 16 日 (水) 15 時 26 分 21 秒 (日本時間) `11917113199963412842714053410730491763894123644747647935650733534983325208325010520390184102767974215050741914612122388796544605721484743381556939129460937124657635885962858499965153836431603<191>` `78546212389049543526813047823514336123874833<44>` `151721042141871980459177249933621431879008481578302345626199657241726105652714660465922774938511218012278689314504031397294572546268465575416234691<147>` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2802316983 Step 1 took 86061ms Step 2 took 30402ms ********** Factor found in step 2: 78546212389049543526813047823514336123874833 Found probable prime factor of 44 digits: 78546212389049543526813047823514336123874833```

c147

name 名前 Eric Jeancolas November 3, 2021 08:24:27 UTC 2021 年 11 月 3 日 (水) 17 時 24 分 27 秒 (日本時間) `151721042141871980459177249933621431879008481578302345626199657241726105652714660465922774938511218012278689314504031397294572546268465575416234691<147>` ```102667562359161161184190348730170999888716250654761818685306834077<66> 1477789465879275480489272994056140211282996636411053865061406423646093810195381983<82>``` ```151721042141871980459177249933621431879008481578302345626199657241726105652714660465922774938511218012278689314504031397294572546268465575416234691=102667562359161161184190348730170999888716250654761818685306834077*1477789465879275480489272994056140211282996636411053865061406423646093810195381983 cado polynomial n: 151721042141871980459177249933621431879008481578302345626199657241726105652714660465922774938511218012278689314504031397294572546268465575416234691 skew: 627333.571 c0: 12608359900914298556910487957605864 c1: -50195691935895514583509777630 c2: -196619784121608158863167 c3: 533668597322890669 c4: 342183300192 c5: -101520 Y0: -28232067175935447291947437021 Y1: 731655313489775521 # MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=3.355e+14) = 1.597e-07 # f(x) = -101520*x^5+342183300192*x^4+533668597322890669*x^3-196619784121608158863167*x^2-50195691935895514583509777630*x+12608359900914298556910487957605864 # g(x) = 731655313489775521*x-28232067175935447291947437021 cado parameters (extracts) tasks.lim0 = 10000000 tasks.lim1 = 20000000 tasks.lpb0 = 29 tasks.lpb1 = 29 tasks.sieve.mfb0 = 58 tasks.sieve.mfb1 = 87 tasks.I = 13 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 102667562359161161184190348730170999888716250654761818685306834077 1477789465879275480489272994056140211282996636411053865061406423646093810195381983 Info:Square Root: Total cpu/real time for sqrt: 5186.31/1599.83 Info:Generate Free Relations: Total cpu/real time for freerel: 499.8/126.594 Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 77228.6 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 78311/44.500/52.699/58.000/0.888 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 63776/43.190/47.324/53.450/1.272 Info:Polynomial Selection (size optimized): Total time: 40710.6 Info:Generate Factor Base: Total cpu/real time for makefb: 18.51/4.92526 Info:Filtering - Singleton removal: Total cpu/real time for purge: 838.71/948.304 Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 6033.21 Info:Polynomial Selection (root optimized): Rootsieve time: 6030.76 Info:Filtering - Merging: Total cpu/real time for merge: 1002.36/281.849 Info:Filtering - Merging: Total cpu/real time for replay: 163.04/140.112 Info:Linear Algebra: Total cpu/real time for bwc: 259860/66608 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 167841.43, WCT time 42895.86, iteration CPU time 0.35, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (117248 iterations) Info:Linear Algebra: Lingen CPU time 835.7, WCT time 212.3 Info:Linear Algebra: Mksol: CPU time 89676.41, WCT time 22941.64, iteration CPU time 0.37, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (58880 iterations) Info:Square Root: Total cpu/real time for sqrt: 5186.31/1599.83 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 50230715 Info:Lattice Sieving: Average J: 3810.72 for 1381664 special-q, max bucket fill -bkmult 1.0,1s:1.132230 Info:Lattice Sieving: Total time: 1.63628e+06s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1056.89/1045.66 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 875.7999999999998s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 229.74/283.421 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 282.5s Info:Quadratic Characters: Total cpu/real time for characters: 148.03/64.0169 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3.48469e+06/545.636 102667562359161161184190348730170999888716250654761818685306834077 1477789465879275480489272994056140211282996636411053865061406423646093810195381983``` `cado-nfs-3.0.0` ```Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)```

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 5, 2012 01:00:00 UTC 2012 年 5 月 5 日 (土) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 15, 2012 17:33:35 UTC 2012 年 5 月 16 日 (水) 2 時 33 分 35 秒 (日本時間)
4511e63450400Dmitry DomanovMay 15, 2012 17:39:14 UTC 2012 年 5 月 16 日 (水) 2 時 39 分 14 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:10:24 UTC 2013 年 11 月 9 日 (土) 2 時 10 分 24 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:24:31 UTC 2014 年 1 月 6 日 (月) 11 時 24 分 31 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:36:10 UTC 2014 年 5 月 25 日 (日) 2 時 36 分 10 秒 (日本時間)
5043e67054600Dmitry DomanovMay 26, 2012 16:50:04 UTC 2012 年 5 月 27 日 (日) 1 時 50 分 4 秒 (日本時間)
6454Ignacio SantosMay 8, 2021 21:41:48 UTC 2021 年 5 月 9 日 (日) 6 時 41 分 48 秒 (日本時間)

11×10218+439

c195

name 名前 Dmitry Domanov May 12, 2012 06:25:08 UTC 2012 年 5 月 12 日 (土) 15 時 25 分 8 秒 (日本時間) `502891041361217305886707293581240050454958901303825369028066978229015849850664893333111893586327334590667563592339356030955058185451199614875384467469102714970538952911400403450256361081518120861<195>` ```753637930081011807701097770784223957<36> 667284675158480104764470931934961824999909202965638263275590232256040846224970599064108194589741822049561196120161413086257329969028358693755342912196000796073<159>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1390011719 Step 1 took 27182ms Step 2 took 9910ms ********** Factor found in step 2: 753637930081011807701097770784223957 Found probable prime factor of 36 digits: 753637930081011807701097770784223957```

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 5, 2012 01:00:00 UTC 2012 年 5 月 5 日 (土) 10 時 0 分 0 秒 (日本時間)

11×10219+439

c193

name 名前 Erik Branger May 11, 2020 12:13:41 UTC 2020 年 5 月 11 日 (月) 21 時 13 分 41 秒 (日本時間) `1884264080058172151616670067486912777033657996828283448159839632002718973589954244276542474517848941528645236564742828989106839972356024779390620394049338248159217082707684700932706641510408389<193>` ```381161458457025198356128409818155364537307237399861004723688674114505233486742845496691<87> 4943480087640123320111163106605858980856635674967915492050925301845576852370385456977453412606367853787879<106>``` ```Number: 12227_219 N = 1884264080058172151616670067486912777033657996828283448159839632002718973589954244276542474517848941528645236564742828989106839972356024779390620394049338248159217082707684700932706641510408389 (193 digits) SNFS difficulty: 222 digits. Divisors found: r1=381161458457025198356128409818155364537307237399861004723688674114505233486742845496691 (pp87) r2=4943480087640123320111163106605858980856635674967915492050925301845576852370385456977453412606367853787879 (pp106) Version: Msieve v. 1.52 (SVN unknown) Total time: 47.28 hours. Factorization parameters were as follows: n: 1884264080058172151616670067486912777033657996828283448159839632002718973589954244276542474517848941528645236564742828989106839972356024779390620394049338248159217082707684700932706641510408389 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 11 c0: 430 skew: 1.00 type: snfs lss: 1 rlim: 536870912 alim: 44739242 lpbr: 29 lpba: 28 mfbr: 58 mfba: 56 rlambda: 2.8 alambda: 2.8 side: 1 Number of cores used: 6 Number of threads per core: 1 Factor base limits: 536870912/44739242 Large primes per side: 3 Large prime bits: 29/28 Total raw relations: 36213922 Relations: 7986618 relations Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G rational relations. Total batch smoothness checking time: 20.48 hours. Total relation processing time: 0.36 hours. Pruned matrix : 7105636 x 7105862 Matrix solve time: 26.16 hours. time per square root: 0.28 hours. Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000 total time: 47.28 hours. Intel64 Family 6 Model 158 Stepping 10, GenuineIntel Windows-10-10.0.18362-SP0 processors: 12, speed: 3.19GHz``` `GGNFS, NFS_factory, Msieve`

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 5, 2012 01:00:00 UTC 2012 年 5 月 5 日 (土) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 15, 2012 17:33:45 UTC 2012 年 5 月 16 日 (水) 2 時 33 分 45 秒 (日本時間)
4511e6400 / 2430Dmitry DomanovMay 15, 2012 17:39:01 UTC 2012 年 5 月 16 日 (水) 2 時 39 分 1 秒 (日本時間)
5043e6520 / 7425Dmitry DomanovMay 31, 2012 22:10:11 UTC 2012 年 6 月 1 日 (金) 7 時 10 分 11 秒 (日本時間)

11×10220+439

c215

name 名前 Serge Batalov May 5, 2012 17:20:05 UTC 2012 年 5 月 6 日 (日) 2 時 20 分 5 秒 (日本時間) `71352724409183225363688079619261862552598309459360407151618701419335420724852867438962609226426195012185099345695517167789823414980309891368720392673502257665066419656507984694191953099205584712873393671791738262639<215>` `1733851830199289226929485727026740098651<40>` `41152723183377169532663998520447368304500368447325780442275832680582744865606857562872896117387925553410986310134413299295260014578561203179906197232784195145294086226259377789<176>` ```Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3850915020 Step 1 took 16969ms Step 2 took 13837ms ********** Factor found in step 2: 1733851830199289226929485727026740098651 Found probable prime factor of 40 digits: 1733851830199289226929485727026740098651 Composite cofactor 411527231833... has 176 digits```

c176

name 名前 Erik Branger November 16, 2018 08:21:07 UTC 2018 年 11 月 16 日 (金) 17 時 21 分 7 秒 (日本時間) `41152723183377169532663998520447368304500368447325780442275832680582744865606857562872896117387925553410986310134413299295260014578561203179906197232784195145294086226259377789<176>` ```21226914213395009056608441820864462850400336998160706061<56> 234425991555405648941789499876277491294041366110316567975321<60> 8270008435253736221329745028039255963772624318125633766471769<61>``` ```Number: 12227_220 N = 41152723183377169532663998520447368304500368447325780442275832680582744865606857562872896117387925553410986310134413299295260014578561203179906197232784195145294086226259377789 (176 digits) SNFS difficulty: 222 digits. Divisors found: r1=21226914213395009056608441820864462850400336998160706061 (pp56) r2=234425991555405648941789499876277491294041366110316567975321 (pp60) r3=8270008435253736221329745028039255963772624318125633766471769 (pp61) Version: Msieve v. 1.52 (SVN unknown) Total time: 48.19 hours. Factorization parameters were as follows: n: 41152723183377169532663998520447368304500368447325780442275832680582744865606857562872896117387925553410986310134413299295260014578561203179906197232784195145294086226259377789 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 11 c0: 43 skew: 1.00 type: snfs lss: 1 rlim: 536870912 alim: 536870912 lpbr: 29 lpba: 27 mfbr: 58 mfba: 54 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: 29/27 Total raw relations: 26191557 Relations: 10368038 relations Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G rational relations. Total batch smoothness checking time: 20.81 hours. Total relation processing time: 0.27 hours. Pruned matrix : 8783914 x 8784139 Matrix solve time: 26.80 hours. time per square root: 0.32 hours. Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,536870912,29,27,58,54,2.8,2.8,100000 total time: 48.19 hours. Intel64 Family 6 Model 158 Stepping 10, GenuineIntel Windows-10-10.0.17134-SP0 processors: 12, speed: 3.19GHz``` `GGNFS, NFS_factory, Msieve`

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 5, 2012 01:00:00 UTC 2012 年 5 月 5 日 (土) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 15, 2012 17:33:55 UTC 2012 年 5 月 16 日 (水) 2 時 33 分 55 秒 (日本時間)
4511e6500 / 1798Dmitry DomanovMay 16, 2012 22:00:54 UTC 2012 年 5 月 17 日 (木) 7 時 0 分 54 秒 (日本時間)
5043e6700 / 7403400Dmitry DomanovMay 31, 2012 22:11:15 UTC 2012 年 6 月 1 日 (金) 7 時 11 分 15 秒 (日本時間)
300Dmitry DomanovJune 9, 2012 08:41:40 UTC 2012 年 6 月 9 日 (土) 17 時 41 分 40 秒 (日本時間)

11×10221+439

c166

name 名前 Erik Branger May 13, 2020 16:16:49 UTC 2020 年 5 月 14 日 (木) 1 時 16 分 49 秒 (日本時間) `7041169540589069750857431846303788030677182392065831992644501926245160685899315321249976696835505102693595216311998889664171437378647325159113200940280047005500906013<166>` ```6668960742383393865595261244264865305924517556498412808635177900445779<70> 1055812114148486295448601767884611538845917470828351904206890292203423388332421892185858997853647<97>``` ```Number: 12227_221 N = 7041169540589069750857431846303788030677182392065831992644501926245160685899315321249976696835505102693595216311998889664171437378647325159113200940280047005500906013 (166 digits) SNFS difficulty: 223 digits. Divisors found: r1=6668960742383393865595261244264865305924517556498412808635177900445779 (pp70) r2=1055812114148486295448601767884611538845917470828351904206890292203423388332421892185858997853647 (pp97) Version: Msieve v. 1.52 (SVN unknown) Total time: 48.73 hours. Factorization parameters were as follows: n: 7041169540589069750857431846303788030677182392065831992644501926245160685899315321249976696835505102693595216311998889664171437378647325159113200940280047005500906013 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 110 c0: 43 skew: 1.00 type: snfs lss: 1 rlim: 536870912 alim: 44739242 lpbr: 29 lpba: 28 mfbr: 58 mfba: 56 rlambda: 2.8 alambda: 2.8 side: 1 Number of cores used: 6 Number of threads per core: 1 Factor base limits: 536870912/44739242 Large primes per side: 3 Large prime bits: 29/28 Total raw relations: 36756263 Relations: 7936802 relations Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G rational relations. Total batch smoothness checking time: 20.21 hours. Total relation processing time: 0.36 hours. Pruned matrix : 7165606 x 7165832 Matrix solve time: 27.57 hours. time per square root: 0.59 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: 48.73 hours. Intel64 Family 6 Model 158 Stepping 10, GenuineIntel Windows-10-10.0.18362-SP0 processors: 12, speed: 3.19GHz``` `GGNFS, NFS_Factory, Msieve`

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 5, 2012 01:00:00 UTC 2012 年 5 月 5 日 (土) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 15, 2012 17:34:03 UTC 2012 年 5 月 16 日 (水) 2 時 34 分 3 秒 (日本時間)
4511e6540 / 2500Dmitry DomanovMay 16, 2012 22:00:27 UTC 2012 年 5 月 17 日 (木) 7 時 0 分 27 秒 (日本時間)
5043e6500 / 7394Dmitry DomanovMay 31, 2012 08:06:23 UTC 2012 年 5 月 31 日 (木) 17 時 6 分 23 秒 (日本時間)

11×10223+439

c224

name 名前 matsui November 4, 2012 13:12:42 UTC 2012 年 11 月 4 日 (日) 22 時 12 分 42 秒 (日本時間) `12222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227<224>` ```165882247951138415040705782477938305575526036511743734603310015877338520896986040851<84> 73680109675282126396859148682084579961499439856671576393471928163947476279343030236411087198845078788003882722068000999739930640760767131777<140>``` ```N=12222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227 ( 224 digits) SNFS difficulty: 224 digits. Divisors found: r1=165882247951138415040705782477938305575526036511743734603310015877338520896986040851 (pp84) r2=73680109675282126396859148682084579961499439856671576393471928163947476279343030236411087198845078788003882722068000999739930640760767131777 (pp140) Version: Msieve v. 1.51 (SVN Unversioned directory) Total time: Scaled time: 302.32 units (timescale=1.911). Factorization parameters were as follows: n: 12222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227 m: 10000000000000000000000000000000000000 deg: 6 c6: 110 c0: 43 skew: 0.86 # Murphy_E = 1.548e-12 type: snfs lss: 1 rlim: 38000000 alim: 38000000 lpbr: 29 lpba: 29 mfbr: 59 mfba: 59 rlambda: 2.6 alambda: 2.6 qintsize: 320000 Factor base limits: 38000000/38000000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 59/59 Sieved rational special-q in [19000000, 77880001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 7330471 x 7330700 Total sieving time: Total relation processing time: Matrix solve time: Time per square root: Prototype def-par.txt line would be: snfs,224.000,6,0,0,0,0,0,0,0,0,38000000,38000000,29,29,59,59,2.6,2.6,100000 total time:```

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 5, 2012 01:00:00 UTC 2012 年 5 月 5 日 (土) 10 時 0 分 0 秒 (日本時間)
403e61400Serge BatalovMay 5, 2012 17:32:01 UTC 2012 年 5 月 6 日 (日) 2 時 32 分 1 秒 (日本時間)
4511e6650350Serge BatalovMay 6, 2012 02:35:25 UTC 2012 年 5 月 6 日 (日) 11 時 35 分 25 秒 (日本時間)
300Serge BatalovMay 6, 2012 06:28:38 UTC 2012 年 5 月 6 日 (日) 15 時 28 分 38 秒 (日本時間)
5043e61000 / 7352Dmitry DomanovMay 15, 2012 17:40:40 UTC 2012 年 5 月 16 日 (水) 2 時 40 分 40 秒 (日本時間)
5511e71 / 17361Dmitry DomanovMay 15, 2012 17:42:01 UTC 2012 年 5 月 16 日 (水) 2 時 42 分 1 秒 (日本時間)

11×10225+439

c218

name 名前 Dmitry Domanov May 20, 2012 20:44:01 UTC 2012 年 5 月 21 日 (月) 5 時 44 分 1 秒 (日本時間) `35611169065051385476327211517618109532982729719323481153774554228854977279054362110353230973689681611641599365846660902383851476976312483061830704871325952387614444463836344689867880717462625989038305908314130900694231<218>` ```302725712612390295571242668088637915035481<42> 117635098643397666361900000096516407952448716941156062032925985795390162167451911498823589150267062629360769276350483264888473165973545963361545238875700101346355622610009208751<177>``` ```Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1693054967 Step 1 took 444213ms Step 2 took 111230ms ********** Factor found in step 2: 302725712612390295571242668088637915035481 Found probable prime factor of 42 digits: 302725712612390295571242668088637915035481```

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 5, 2012 01:00:00 UTC 2012 年 5 月 5 日 (土) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 15, 2012 17:34:19 UTC 2012 年 5 月 16 日 (水) 2 時 34 分 19 秒 (日本時間)
4511e6800 / 2500Dmitry DomanovMay 16, 2012 21:59:42 UTC 2012 年 5 月 17 日 (木) 6 時 59 分 42 秒 (日本時間)
5043e6500 / 7335Dmitry DomanovMay 20, 2012 12:29:39 UTC 2012 年 5 月 20 日 (日) 21 時 29 分 39 秒 (日本時間)

11×10227+439

c206

name 名前 Dmitry Domanov May 13, 2012 12:51:47 UTC 2012 年 5 月 13 日 (日) 21 時 51 分 47 秒 (日本時間) `57025805487622206568113146235057792979515662425230428829038587743585846877595894610658022402944428001964944515429263676471935956732834346509262004025451229066301809255292835807893286963605366711651777049363<206>` `19134933843059589627043314994506451<35>` `2980193501338180610340534689586820115264538755171796433184206365401834896190942988936452713575959534851520179735626707049646230270862234003077977036019987903296167397240513<172>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1456208218 Step 1 took 26976ms Step 2 took 10224ms ********** Factor found in step 2: 19134933843059589627043314994506451 Found probable prime factor of 35 digits: 19134933843059589627043314994506451```

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 5, 2012 01:00:00 UTC 2012 年 5 月 5 日 (土) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 15, 2012 17:34:30 UTC 2012 年 5 月 16 日 (水) 2 時 34 分 30 秒 (日本時間)
4511e6500 / 2500Dmitry DomanovMay 16, 2012 21:59:10 UTC 2012 年 5 月 17 日 (木) 6 時 59 分 10 秒 (日本時間)
5043e6500 / 7403Dmitry DomanovMay 31, 2012 08:06:03 UTC 2012 年 5 月 31 日 (木) 17 時 6 分 3 秒 (日本時間)

11×10228+439

c192

name 名前 Dmitry Domanov June 1, 2012 13:37:25 UTC 2012 年 6 月 1 日 (金) 22 時 37 分 25 秒 (日本時間) `125080235820620700994710131570244252552854113425374643332521808070898321753130059023403691584002457680692115491947355113893821549341894118907028003945025211678435016831243800582532492588889699<192>` `24224483053021830442854673145101023895483<41>` `5163381011964168170957069768685462030903901355307702254491065040687544959646660066147962104705178812246638232205549799269076533053613348727948779877753<151>` ```Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2605230103 Step 1 took 336733ms Step 2 took 93849ms ********** Factor found in step 2: 24224483053021830442854673145101023895483 Found probable prime factor of 41 digits: 24224483053021830442854673145101023895483```

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 5, 2012 01:00:00 UTC 2012 年 5 月 5 日 (土) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 15, 2012 17:34:38 UTC 2012 年 5 月 16 日 (水) 2 時 34 分 38 秒 (日本時間)
4511e6400Dmitry DomanovMay 15, 2012 17:38:32 UTC 2012 年 5 月 16 日 (水) 2 時 38 分 32 秒 (日本時間)
5043e67554500Dmitry DomanovMay 31, 2012 08:05:52 UTC 2012 年 5 月 31 日 (木) 17 時 5 分 52 秒 (日本時間)
600Dmitry DomanovJune 9, 2012 08:42:35 UTC 2012 年 6 月 9 日 (土) 17 時 42 分 35 秒 (日本時間)
6454Ignacio SantosJanuary 18, 2024 07:19:41 UTC 2024 年 1 月 18 日 (木) 16 時 19 分 41 秒 (日本時間)

11×10229+439

c226

composite cofactor 合成数の残り `1900516594965358765700858687952452530278684842516283971734135005787936902849047150088978731491559978575994747663228459372138426717807840494825411634617045906114480208711276974377580815148845004232968779695571796333730714075917<226>`

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 5, 2012 01:00:00 UTC 2012 年 5 月 5 日 (土) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 15, 2012 17:34:46 UTC 2012 年 5 月 16 日 (水) 2 時 34 分 46 秒 (日本時間)
4511e6800Dmitry DomanovMay 16, 2012 21:57:33 UTC 2012 年 5 月 17 日 (木) 6 時 57 分 33 秒 (日本時間)
5043e61000 / 7335500Dmitry DomanovMay 20, 2012 12:29:01 UTC 2012 年 5 月 20 日 (日) 21 時 29 分 1 秒 (日本時間)
500Dmitry DomanovMay 30, 2012 13:53:03 UTC 2012 年 5 月 30 日 (水) 22 時 53 分 3 秒 (日本時間)

11×10230+439

c228

name 名前 Dmitry Domanov May 13, 2012 12:53:00 UTC 2012 年 5 月 13 日 (日) 21 時 53 分 0 秒 (日本時間) `319118073687264287786480997969248621990136350449666376559326950971859588047577603713373948360893530606324340005802146794313896141572381781259065854366115462721206846533217290397447055410501885697708152016246011024078909196402669<228>` `962710285888120793129143662863725750649658097391<48>` `331478824278761134729657132941552785402179112901927238905394674413566016534771955032492589108428539912668207640938000128591575913041085428222565491421400669905001261441021477842659<180>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1139163248 Step 1 took 30718ms Step 2 took 11273ms ********** Factor found in step 2: 962710285888120793129143662863725750649658097391 Found probable prime factor of 48 digits: 962710285888120793129143662863725750649658097391```

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 5, 2012 01:00:00 UTC 2012 年 5 月 5 日 (土) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 15, 2012 17:34:54 UTC 2012 年 5 月 16 日 (水) 2 時 34 分 54 秒 (日本時間)
4511e6800 / 2500Dmitry DomanovMay 16, 2012 21:58:31 UTC 2012 年 5 月 17 日 (木) 6 時 58 分 31 秒 (日本時間)
5043e6500 / 7335Dmitry DomanovMay 31, 2012 08:04:03 UTC 2012 年 5 月 31 日 (木) 17 時 4 分 3 秒 (日本時間)

11×10231+439

c215

name 名前 Dmitry Domanov May 12, 2012 06:24:34 UTC 2012 年 5 月 12 日 (土) 15 時 24 分 34 秒 (日本時間) `39362074841446142843868483587991243312918711402615164242925486032428010461932595671764012043517756112973759464370883114696544528816781010022630443552244515645039730081539892732668475149936042600136433199340547936531<215>` `15728884519033726252083457756711542643<38>` `2502534416462501700263855843915254461109872153749344805583582659782228711807784664897935951476420623423652451217351727132040193232587720795494772355982682522623619449844873781217<178>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1100790143 Step 1 took 30697ms Step 2 took 10972ms ********** Factor found in step 2: 15728884519033726252083457756711542643 Found probable prime factor of 38 digits: 15728884519033726252083457756711542643```

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 5, 2012 01:00:00 UTC 2012 年 5 月 5 日 (土) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 15, 2012 17:35:03 UTC 2012 年 5 月 16 日 (水) 2 時 35 分 3 秒 (日本時間)
4511e6800 / 2500Dmitry DomanovMay 16, 2012 21:58:00 UTC 2012 年 5 月 17 日 (木) 6 時 58 分 0 秒 (日本時間)
5043e6500 / 7335Dmitry DomanovMay 31, 2012 08:05:39 UTC 2012 年 5 月 31 日 (木) 17 時 5 分 39 秒 (日本時間)

11×10232+439

c233

name 名前 Serge Batalov May 6, 2012 06:24:05 UTC 2012 年 5 月 6 日 (日) 15 時 24 分 5 秒 (日本時間) `12222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227<233>` `19317369138072628404706142930177603635319<41>` `632706355345947614876810460388280087578001243314345356565428524419006563533219920690827491600475945146011647577719211239455872632636934649586682725527400787690811430676319610028017548627419333<192>` ```Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=985661351 Step 1 took 83949ms Step 2 took 39642ms ********** Factor found in step 2: 19317369138072628404706142930177603635319 Found probable prime factor of 41 digits: 19317369138072628404706142930177603635319 Composite cofactor 632706355345... has 192 digits```

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 5, 2012 01:00:00 UTC 2012 年 5 月 5 日 (土) 10 時 0 分 0 秒 (日本時間)
403e61400Serge BatalovMay 5, 2012 17:32:34 UTC 2012 年 5 月 6 日 (日) 2 時 32 分 34 秒 (日本時間)
4511e6350Serge BatalovMay 6, 2012 02:35:06 UTC 2012 年 5 月 6 日 (日) 11 時 35 分 6 秒 (日本時間)
5043e61100 / 7421500Dmitry DomanovMay 31, 2012 08:03:37 UTC 2012 年 5 月 31 日 (木) 17 時 3 分 37 秒 (日本時間)
600Dmitry DomanovJune 9, 2012 08:43:16 UTC 2012 年 6 月 9 日 (土) 17 時 43 分 16 秒 (日本時間)

11×10233+439

c227

composite cofactor 合成数の残り `12886023833778820749117749592294991824579324330243346819963023437463300457689308898292640500095807587204145532269690468218713264215747276395359283606425079257539638902920011658805782118212329410862822032425148631206133119444081<227>`

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 5, 2012 01:00:00 UTC 2012 年 5 月 5 日 (土) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 15, 2012 17:35:22 UTC 2012 年 5 月 16 日 (水) 2 時 35 分 22 秒 (日本時間)
4511e6800Dmitry DomanovMay 16, 2012 21:56:47 UTC 2012 年 5 月 17 日 (木) 6 時 56 分 47 秒 (日本時間)
5043e61000 / 7335500Dmitry DomanovMay 20, 2012 12:27:24 UTC 2012 年 5 月 20 日 (日) 21 時 27 分 24 秒 (日本時間)
500Dmitry DomanovMay 30, 2012 13:53:46 UTC 2012 年 5 月 30 日 (水) 22 時 53 分 46 秒 (日本時間)

11×10234+439

c209

composite cofactor 合成数の残り `11274230718665319094592609231026520647966391673712055753735459597572853680368083362108088070081631543064747427293217888311590828564190170360990663105870741097407516857833913820284210054986694180863444041962019<209>`

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 5, 2012 01:00:00 UTC 2012 年 5 月 5 日 (土) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 15, 2012 17:35:30 UTC 2012 年 5 月 16 日 (水) 2 時 35 分 30 秒 (日本時間)
4511e6400 / 1447Dmitry DomanovMay 15, 2012 17:38:13 UTC 2012 年 5 月 16 日 (水) 2 時 38 分 13 秒 (日本時間)
5043e6800 / 7425500Dmitry DomanovMay 20, 2012 12:30:27 UTC 2012 年 5 月 20 日 (日) 21 時 30 分 27 秒 (日本時間)
300Dmitry DomanovJune 9, 2012 08:44:29 UTC 2012 年 6 月 9 日 (土) 17 時 44 分 29 秒 (日本時間)

11×10237+439

c228

composite cofactor 合成数の残り `316638436014167905184308075992001037342289039750886004653497327595247174530665602086103089731920181278385452172607347466450373806528375171131283482080270613194776692255813099423468244634980362519288397702352095291383027788309093<228>`

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 5, 2012 01:00:00 UTC 2012 年 5 月 5 日 (土) 10 時 0 分 0 秒 (日本時間)
403e6600Lionel DebrouxMay 13, 2012 16:23:21 UTC 2012 年 5 月 14 日 (月) 1 時 23 分 21 秒 (日本時間)
4511e65000Wataru SakaiMay 14, 2012 03:22:02 UTC 2012 年 5 月 14 日 (月) 12 時 22 分 2 秒 (日本時間)

11×10238+439

c213

composite cofactor 合成数の残り `330536026018167526796373331216826811153220180939376160049124388003964314387178350041097802126925405150381562526493902642786346944054291489878312911392203098407664873173657655695368180186703627034737775269562015137<213>`

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 5, 2012 01:00:00 UTC 2012 年 5 月 5 日 (土) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 15, 2012 17:35:48 UTC 2012 年 5 月 16 日 (水) 2 時 35 分 48 秒 (日本時間)
4511e6400 / 2289Dmitry DomanovMay 15, 2012 17:37:52 UTC 2012 年 5 月 16 日 (水) 2 時 37 分 52 秒 (日本時間)
5043e6560 / 7425Dmitry DomanovMay 20, 2012 22:41:34 UTC 2012 年 5 月 21 日 (月) 7 時 41 分 34 秒 (日本時間)

11×10239+439

c193

composite cofactor 合成数の残り `1201981307759928386250972813772234545265196484323103392685854276743838560612997610447820394901165301623587558573035290066471179805575467316214621792551013323629707600953903981953080173090876789<193>`

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 5, 2012 01:00:00 UTC 2012 年 5 月 5 日 (土) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 15, 2012 17:35:56 UTC 2012 年 5 月 16 日 (水) 2 時 35 分 56 秒 (日本時間)
4511e6400 / 1447Dmitry DomanovMay 15, 2012 17:37:31 UTC 2012 年 5 月 16 日 (水) 2 時 37 分 31 秒 (日本時間)
5043e6800 / 7425500Dmitry DomanovMay 31, 2012 08:02:20 UTC 2012 年 5 月 31 日 (木) 17 時 2 分 20 秒 (日本時間)
300Dmitry DomanovJune 9, 2012 08:45:53 UTC 2012 年 6 月 9 日 (土) 17 時 45 分 53 秒 (日本時間)

11×10240+439

c214

composite cofactor 合成数の残り `2104984632698481862487853862140284425371051687222340714093273400717834380912763538140924916410560566018226164954936490434496877607413646824181047784342295017113391694455124522616045112543134216333089686274043155657<214>`

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 5, 2012 01:00:00 UTC 2012 年 5 月 5 日 (土) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 15, 2012 17:36:08 UTC 2012 年 5 月 16 日 (水) 2 時 36 分 8 秒 (日本時間)
4511e6400 / 1447Dmitry DomanovMay 15, 2012 17:37:42 UTC 2012 年 5 月 16 日 (水) 2 時 37 分 42 秒 (日本時間)
5043e6800 / 7425500Dmitry DomanovMay 31, 2012 08:02:35 UTC 2012 年 5 月 31 日 (木) 17 時 2 分 35 秒 (日本時間)
300Dmitry DomanovJune 9, 2012 08:46:19 UTC 2012 年 6 月 9 日 (土) 17 時 46 分 19 秒 (日本時間)

11×10242+439

c235

composite cofactor 合成数の残り `2993368255219170899636338139792904470361190072764128957363112949942672779984556886622060091601041625754465882975100762830238284440350169769833030109210945433892796853602051593646264567998766971748310119123021799593456506790568818585227<235>`

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 5, 2012 01:00:00 UTC 2012 年 5 月 5 日 (土) 10 時 0 分 0 秒 (日本時間)
403e6600Lionel DebrouxMay 12, 2012 19:13:23 UTC 2012 年 5 月 13 日 (日) 4 時 13 分 23 秒 (日本時間)
4511e65000Wataru SakaiMay 14, 2012 07:47:28 UTC 2012 年 5 月 14 日 (月) 16 時 47 分 28 秒 (日本時間)

11×10244+439

c234

composite cofactor 合成数の残り `361667256536772441942335120294985807231932031664053492296994152964401981992340173085592689415850089673460187710802630034377222272769972315833404039832706867526727460079724936235102837057783794915886122597024425025697672052780466629903<234>`

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 5, 2012 01:00:00 UTC 2012 年 5 月 5 日 (土) 10 時 0 分 0 秒 (日本時間)
403e6600Lionel DebrouxMay 12, 2012 14:43:55 UTC 2012 年 5 月 12 日 (土) 23 時 43 分 55 秒 (日本時間)
4511e65000Wataru SakaiMay 14, 2012 07:48:09 UTC 2012 年 5 月 14 日 (月) 16 時 48 分 9 秒 (日本時間)

11×10249+439

c199

composite cofactor 合成数の残り `8089928271241207992823472183382168216389520333281724479655099375791145566299858708678167356947904701076141775107961462342794574486397969355748893533922279648292530246602582394753733673643185488356449<199>`

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 5, 2012 01:00:00 UTC 2012 年 5 月 5 日 (土) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 15, 2012 17:36:25 UTC 2012 年 5 月 16 日 (水) 2 時 36 分 25 秒 (日本時間)
4511e6400Dmitry DomanovMay 15, 2012 17:37:15 UTC 2012 年 5 月 16 日 (水) 2 時 37 分 15 秒 (日本時間)
5043e61100 / 7425500Dmitry DomanovMay 31, 2012 08:01:38 UTC 2012 年 5 月 31 日 (木) 17 時 1 分 38 秒 (日本時間)
600Dmitry DomanovJune 1, 2012 23:54:47 UTC 2012 年 6 月 2 日 (土) 8 時 54 分 47 秒 (日本時間)

11×10250+439

c215

name 名前 Serge Batalov May 5, 2012 06:45:08 UTC 2012 年 5 月 5 日 (土) 15 時 45 分 8 秒 (日本時間) `72607823283123619836491839119159880760708366480878755265001759552180766887257725360775029873441689459353551064446062313391421158990848763730103028098139364304778452636142884989899419030320063346087935293552516416811<215>` `181069371355895188535807396741<30>` `400994506908689731950306412004104155944361731594459334896670928173295962686679437843125671241509876106719973380625666992324111038030882384593216637468177256418855573184470039576345900271<186>` ```Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1917524399 Step 1 took 21693ms Step 2 took 15033ms ********** Factor found in step 2: 181069371355895188535807396741 Found probable prime factor of 30 digits: 181069371355895188535807396741 Composite cofactor 400994506908... has 186 digits```

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 5, 2012 01:00:00 UTC 2012 年 5 月 5 日 (土) 10 時 0 分 0 秒 (日本時間)
403e64000Dmitry DomanovMay 9, 2012 16:19:25 UTC 2012 年 5 月 10 日 (木) 1 時 19 分 25 秒 (日本時間)
4511e60--
5043e61025 / 7402800Dmitry DomanovMay 16, 2012 21:53:41 UTC 2012 年 5 月 17 日 (木) 6 時 53 分 41 秒 (日本時間)
225Dmitry DomanovMay 18, 2012 14:38:49 UTC 2012 年 5 月 18 日 (金) 23 時 38 分 49 秒 (日本時間)

11×10252+439

c216

composite cofactor 合成数の残り `399654137680789681205542136152746115286587868826375397558066256776850791529591772748631305992807827939981994115527347349735949272909620649582503504190076644100503165570620498105857325064579641883073452291470494228913<216>`

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 15, 2015 20:38:23 UTC 2015 年 11 月 16 日 (月) 5 時 38 分 23 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovNovember 23, 2015 15:49:48 UTC 2015 年 11 月 24 日 (火) 0 時 49 分 48 秒 (日本時間)

11×10253+439

c251

composite cofactor 合成数の残り `15530142594945644500917690244246788084145136241705492023154030777918960892277283636877029507270930396724551743611464068897359875758859240434843992658478046025695326838910066356063814767753776648312861781730904983763941832556826203586051108287448821121<251>`

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovNovember 14, 2015 09:56:09 UTC 2015 年 11 月 14 日 (土) 18 時 56 分 9 秒 (日本時間)
4511e6800 / 4305Dmitry DomanovFebruary 4, 2016 17:58:19 UTC 2016 年 2 月 5 日 (金) 2 時 58 分 19 秒 (日本時間)

11×10254+439

c232

composite cofactor 合成数の残り `3510918975972727687335321565173075741543069701474790756295258335275940478924921978391886313776862368926430822883754681027521063564793289839980219684675276744094111422740444851315517336056472664466388325690678656072496253043470527343<232>`

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 15, 2015 20:38:41 UTC 2015 年 11 月 16 日 (月) 5 時 38 分 41 秒 (日本時間)
4511e61000 / 4346Lionel DebrouxJuly 19, 2020 06:08:50 UTC 2020 年 7 月 19 日 (日) 15 時 8 分 50 秒 (日本時間)

11×10255+439

c201

composite cofactor 合成数の残り `579764280486734040271813875169094017061446934201354262239021374931338637680004321869468101646532490331151797382649542363978092580856991889436280749801704049381157246967366224789522420499526803902952611<201>`

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 15, 2015 20:38:55 UTC 2015 年 11 月 16 日 (月) 5 時 38 分 55 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovNovember 18, 2015 22:36:13 UTC 2015 年 11 月 19 日 (木) 7 時 36 分 13 秒 (日本時間)

11×10257+439

c227

composite cofactor 合成数の残り `91862240938228155441874153680533895756517595942963802755859821167143794124641207130166106846366568825653097142065762520582610286499743582398160832327751350285858034065998544833622254298427504274786993773618717760024767407535363<227>`

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62336600Dmitry DomanovNovember 15, 2015 20:39:09 UTC 2015 年 11 月 16 日 (月) 5 時 39 分 9 秒 (日本時間)
1736ebinaJuly 13, 2022 04:57:06 UTC 2022 年 7 月 13 日 (水) 13 時 57 分 6 秒 (日本時間)

11×10258+439

c231

composite cofactor 合成数の残り `551207664993083189717578111704229727329985398356030653004591695296171402259287567419477021930754589654476537708268436724238136417440167906893024145987381544169249593268613761568305497833345420442307321887446303120006821646780364563<231>`

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62336600Dmitry DomanovNovember 15, 2015 20:39:24 UTC 2015 年 11 月 16 日 (月) 5 時 39 分 24 秒 (日本時間)
1736ebinaJuly 13, 2022 05:01:10 UTC 2022 年 7 月 13 日 (水) 14 時 1 分 10 秒 (日本時間)

11×10261+439

c256

composite cofactor 合成数の残り `1299764896162373247813529583653400439013317745607414993307983191440362828189159275435424194225522679774913804909306541161368293227905857792250069094320275540705150814674912847809701185231976721447030622106472250196707600989664624027052124944272580077038247<256>`

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 14, 2015 09:51:54 UTC 2015 年 11 月 14 日 (土) 18 時 51 分 54 秒 (日本時間)
4511e6800 / 4346Dmitry DomanovFebruary 4, 2016 18:02:19 UTC 2016 年 2 月 5 日 (金) 3 時 2 分 19 秒 (日本時間)

11×10262+439

c254

composite cofactor 合成数の残り `25536879087067660285923857064178980168450415233287157153907238971685939577984821182263047780092995344966118612531037618605718610815237928090267123167910266363594335631698185398333234785356169108001941758354201891004364184615020113044460171029630734943141<254>`

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
403e62089600Dmitry DomanovNovember 15, 2015 20:39:48 UTC 2015 年 11 月 16 日 (月) 5 時 39 分 48 秒 (日本時間)
1489ebinaJuly 13, 2022 05:18:03 UTC 2022 年 7 月 13 日 (水) 14 時 18 分 3 秒 (日本時間)

11×10263+439

c204

name 名前 Dmitry Domanov November 16, 2015 07:26:39 UTC 2015 年 11 月 16 日 (月) 16 時 26 分 39 秒 (日本時間) `487108367676577203317733549272056985493002228545220431340769948524278939213879933119180572069563105584209554537644371468084909280741544741520169237040199279477401328851949753368520647198175330285838862051<204>` `35362596653920799702873887308655895135191<41>` `13774677590667523888211436749873643415743557954089545552163776043376657187084854948664653101155157747805019334608792083756569051263267370316183684536098297771029461<164>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2211387369 Step 1 took 32975ms Step 2 took 11552ms ********** Factor found in step 2: 35362596653920799702873887308655895135191 Found probable prime factor of 41 digits: 35362596653920799702873887308655895135191```

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 15, 2015 20:40:05 UTC 2015 年 11 月 16 日 (月) 5 時 40 分 5 秒 (日本時間)
4511e61400600Dmitry DomanovNovember 18, 2015 22:36:34 UTC 2015 年 11 月 19 日 (木) 7 時 36 分 34 秒 (日本時間)
800Dmitry DomanovFebruary 11, 2016 12:11:30 UTC 2016 年 2 月 11 日 (木) 21 時 11 分 30 秒 (日本時間)
5043e6600 / 6927Dmitry DomanovFebruary 27, 2016 20:23:23 UTC 2016 年 2 月 28 日 (日) 5 時 23 分 23 秒 (日本時間)
5511e7120 / 17463Dmitry DomanovFebruary 29, 2016 21:17:57 UTC 2016 年 3 月 1 日 (火) 6 時 17 分 57 秒 (日本時間)

11×10264+439

c222

name 名前 Dmitry Domanov November 16, 2015 07:26:07 UTC 2015 年 11 月 16 日 (月) 16 時 26 分 7 秒 (日本時間) `119728130905728558382232975600356446095662233326684930515610545203944514928937207254718826074553938321805001858299019088389222757427790105309107950271699247738094511335282280773303022580392092993637325242931232933163618619<222>` `851947805128417555350698664870017<33>` `140534584613057898052801683158411979876525116650099978200648755272037976703446116957781014011670962033081180476539702470493518243102940391007538471397997791384712772467524305872131345560507<189>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=652403698 Step 1 took 43194ms Step 2 took 14637ms ********** Factor found in step 2: 851947805128417555350698664870017 Found probable prime factor of 33 digits: 851947805128417555350698664870017```

c189

name 名前 Dmitry Domanov November 19, 2015 09:29:17 UTC 2015 年 11 月 19 日 (木) 18 時 29 分 17 秒 (日本時間) `140534584613057898052801683158411979876525116650099978200648755272037976703446116957781014011670962033081180476539702470493518243102940391007538471397997791384712772467524305872131345560507<189>` `1351053163725684232239242082954982979<37>` `104018545225502188415505191573346366381905533730933994504510795363877449939631648349579888371534560567858449406183808865936590598555508440626359269441833<153>` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2888284884 Step 1 took 109993ms Step 2 took 37657ms ********** Factor found in step 2: 1351053163725684232239242082954982979 Found probable prime factor of 37 digits: 1351053163725684232239242082954982979```

c153

name 名前 NFS@Home November 15, 2021 02:40:49 UTC 2021 年 11 月 15 日 (月) 11 時 40 分 49 秒 (日本時間) `104018545225502188415505191573346366381905533730933994504510795363877449939631648349579888371534560567858449406183808865936590598555508440626359269441833<153>` ```40315988099240586215703985137665270195142280019796342480514799<62> 2580081752416767333625170470371684759394701435149478259309476845707989748359988487198609767<91>``` ```Sun Nov 14 08:19:37 2021 Sun Nov 14 08:19:37 2021 Sun Nov 14 08:19:37 2021 Msieve v. 1.53 (SVN 988) Sun Nov 14 08:19:37 2021 random seeds: 521d2708 68c3b2b8 Sun Nov 14 08:19:37 2021 factoring 104018545225502188415505191573346366381905533730933994504510795363877449939631648349579888371534560567858449406183808865936590598555508440626359269441833 (153 digits) Sun Nov 14 08:19:38 2021 searching for 15-digit factors Sun Nov 14 08:19:38 2021 commencing number field sieve (153-digit input) Sun Nov 14 08:19:38 2021 R0: -310370787356771522724155636833 Sun Nov 14 08:19:38 2021 R1: 61492753366980099467 Sun Nov 14 08:19:38 2021 A0: 55277698112715231635097861858469920 Sun Nov 14 08:19:38 2021 A1: -1665759480384372950848913124052 Sun Nov 14 08:19:38 2021 A2: 3111493529847002924785497 Sun Nov 14 08:19:38 2021 A3: 4440044960356108183 Sun Nov 14 08:19:38 2021 A4: -726451748148 Sun Nov 14 08:19:38 2021 A5: 1517040 Sun Nov 14 08:19:38 2021 skew 1.00, size 8.435e-015, alpha -7.722, combined = 6.431e-014 rroots = 3 Sun Nov 14 08:19:38 2021 Sun Nov 14 08:19:38 2021 commencing relation filtering Sun Nov 14 08:19:38 2021 setting target matrix density to 100.0 Sun Nov 14 08:19:38 2021 estimated available RAM is 12041.5 MB Sun Nov 14 08:19:38 2021 commencing duplicate removal, pass 1 Sun Nov 14 08:20:14 2021 error -9 reading relation 2836157 Sun Nov 14 08:21:54 2021 error -9 reading relation 10641231 Sun Nov 14 08:22:11 2021 error -9 reading relation 11971605 Sun Nov 14 08:22:14 2021 error -9 reading relation 12176422 Sun Nov 14 08:22:20 2021 error -9 reading relation 12696228 Sun Nov 14 08:22:26 2021 error -5 reading relation 13197518 Sun Nov 14 08:23:58 2021 error -15 reading relation 20450387 Sun Nov 14 08:25:22 2021 error -1 reading relation 26973900 Sun Nov 14 08:25:29 2021 error -1 reading relation 27538608 Sun Nov 14 08:25:48 2021 error -1 reading relation 29009425 Sun Nov 14 08:25:55 2021 error -9 reading relation 29584675 Sun Nov 14 08:26:21 2021 error -9 reading relation 31629338 Sun Nov 14 08:26:35 2021 error -1 reading relation 32776111 Sun Nov 14 08:26:42 2021 error -1 reading relation 33300881 Sun Nov 14 08:26:46 2021 error -15 reading relation 33597018 Sun Nov 14 08:27:22 2021 error -5 reading relation 36510113 Sun Nov 14 08:27:43 2021 error -15 reading relation 38155300 Sun Nov 14 08:27:45 2021 error -9 reading relation 38281653 Sun Nov 14 08:27:45 2021 error -15 reading relation 38313583 Sun Nov 14 08:27:47 2021 error -15 reading relation 38504292 Sun Nov 14 08:27:48 2021 error -15 reading relation 38570876 Sun Nov 14 08:28:01 2021 error -15 reading relation 39615846 Sun Nov 14 08:28:14 2021 error -9 reading relation 40598098 Sun Nov 14 08:28:36 2021 error -9 reading relation 42294535 Sun Nov 14 08:28:52 2021 error -15 reading relation 43544101 Sun Nov 14 08:29:07 2021 error -9 reading relation 44675620 Sun Nov 14 08:29:15 2021 error -15 reading relation 45308316 Sun Nov 14 08:29:21 2021 error -5 reading relation 45702378 Sun Nov 14 08:29:23 2021 error -9 reading relation 45863798 Sun Nov 14 08:29:30 2021 error -5 reading relation 46343460 Sun Nov 14 08:32:34 2021 error -15 reading relation 60763405 Sun Nov 14 08:32:35 2021 error -15 reading relation 60836003 Sun Nov 14 08:32:39 2021 error -9 reading relation 61146639 Sun Nov 14 08:32:43 2021 skipped 19 relations with composite factors Sun Nov 14 08:32:43 2021 found 11149259 hash collisions in 61411851 relations Sun Nov 14 08:33:20 2021 added 122491 free relations Sun Nov 14 08:33:20 2021 commencing duplicate removal, pass 2 Sun Nov 14 08:34:10 2021 found 10411497 duplicates and 51122845 unique relations Sun Nov 14 08:34:10 2021 memory use: 330.4 MB Sun Nov 14 08:34:10 2021 reading ideals above 720000 Sun Nov 14 08:34:10 2021 commencing singleton removal, initial pass Sun Nov 14 08:44:52 2021 memory use: 1378.0 MB Sun Nov 14 08:44:52 2021 reading all ideals from disk Sun Nov 14 08:44:55 2021 memory use: 1811.9 MB Sun Nov 14 08:45:03 2021 keeping 46686785 ideals with weight <= 200, target excess is 277519 Sun Nov 14 08:45:11 2021 commencing in-memory singleton removal Sun Nov 14 08:45:19 2021 begin with 51122845 relations and 46686785 unique ideals Sun Nov 14 08:46:19 2021 reduce to 32994350 relations and 26707317 ideals in 14 passes Sun Nov 14 08:46:19 2021 max relations containing the same ideal: 156 Sun Nov 14 08:46:42 2021 removing 4504227 relations and 3504227 ideals in 1000000 cliques Sun Nov 14 08:46:44 2021 commencing in-memory singleton removal Sun Nov 14 08:46:48 2021 begin with 28490123 relations and 26707317 unique ideals Sun Nov 14 08:47:15 2021 reduce to 28014208 relations and 22709650 ideals in 8 passes Sun Nov 14 08:47:15 2021 max relations containing the same ideal: 140 Sun Nov 14 08:47:35 2021 removing 3546636 relations and 2546636 ideals in 1000000 cliques Sun Nov 14 08:47:36 2021 commencing in-memory singleton removal Sun Nov 14 08:47:39 2021 begin with 24467572 relations and 22709650 unique ideals Sun Nov 14 08:48:02 2021 reduce to 24124692 relations and 19808347 ideals in 8 passes Sun Nov 14 08:48:02 2021 max relations containing the same ideal: 126 Sun Nov 14 08:48:20 2021 removing 3288661 relations and 2288661 ideals in 1000000 cliques Sun Nov 14 08:48:21 2021 commencing in-memory singleton removal Sun Nov 14 08:48:24 2021 begin with 20836031 relations and 19808347 unique ideals Sun Nov 14 08:48:43 2021 reduce to 20510986 relations and 17182506 ideals in 8 passes Sun Nov 14 08:48:43 2021 max relations containing the same ideal: 115 Sun Nov 14 08:48:59 2021 removing 3170893 relations and 2170893 ideals in 1000000 cliques Sun Nov 14 08:49:00 2021 commencing in-memory singleton removal Sun Nov 14 08:49:02 2021 begin with 17340093 relations and 17182506 unique ideals Sun Nov 14 08:49:18 2021 reduce to 17001842 relations and 14658916 ideals in 8 passes Sun Nov 14 08:49:18 2021 max relations containing the same ideal: 102 Sun Nov 14 08:49:31 2021 removing 3106827 relations and 2106827 ideals in 1000000 cliques Sun Nov 14 08:49:32 2021 commencing in-memory singleton removal Sun Nov 14 08:49:34 2021 begin with 13895015 relations and 14658916 unique ideals Sun Nov 14 08:49:47 2021 reduce to 13515301 relations and 12153210 ideals in 8 passes Sun Nov 14 08:49:47 2021 max relations containing the same ideal: 85 Sun Nov 14 08:49:57 2021 removing 3079423 relations and 2079423 ideals in 1000000 cliques Sun Nov 14 08:49:58 2021 commencing in-memory singleton removal Sun Nov 14 08:50:00 2021 begin with 10435878 relations and 12153210 unique ideals Sun Nov 14 08:50:10 2021 reduce to 9975740 relations and 9584066 ideals in 9 passes Sun Nov 14 08:50:10 2021 max relations containing the same ideal: 70 Sun Nov 14 08:50:18 2021 removing 374491 relations and 304740 ideals in 69751 cliques Sun Nov 14 08:50:18 2021 commencing in-memory singleton removal Sun Nov 14 08:50:19 2021 begin with 9601249 relations and 9584066 unique ideals Sun Nov 14 08:50:26 2021 reduce to 9592045 relations and 9270055 ideals in 6 passes Sun Nov 14 08:50:26 2021 max relations containing the same ideal: 69 Sun Nov 14 08:50:28 2021 relations with 0 large ideals: 894 Sun Nov 14 08:50:28 2021 relations with 1 large ideals: 4073 Sun Nov 14 08:50:28 2021 relations with 2 large ideals: 57749 Sun Nov 14 08:50:28 2021 relations with 3 large ideals: 361907 Sun Nov 14 08:50:28 2021 relations with 4 large ideals: 1188297 Sun Nov 14 08:50:28 2021 relations with 5 large ideals: 2268447 Sun Nov 14 08:50:28 2021 relations with 6 large ideals: 2662187 Sun Nov 14 08:50:28 2021 relations with 7+ large ideals: 3048491 Sun Nov 14 08:50:28 2021 commencing 2-way merge Sun Nov 14 08:50:37 2021 reduce to 6187605 relation sets and 5865615 unique ideals Sun Nov 14 08:50:37 2021 commencing full merge Sun Nov 14 08:53:25 2021 memory use: 747.7 MB Sun Nov 14 08:53:27 2021 found 2963927 cycles, need 2923815 Sun Nov 14 08:53:27 2021 weight of 2923815 cycles is about 292398050 (100.01/cycle) Sun Nov 14 08:53:27 2021 distribution of cycle lengths: Sun Nov 14 08:53:27 2021 1 relations: 151231 Sun Nov 14 08:53:27 2021 2 relations: 217946 Sun Nov 14 08:53:27 2021 3 relations: 253046 Sun Nov 14 08:53:27 2021 4 relations: 258581 Sun Nov 14 08:53:27 2021 5 relations: 263268 Sun Nov 14 08:53:27 2021 6 relations: 258242 Sun Nov 14 08:53:27 2021 7 relations: 241939 Sun Nov 14 08:53:27 2021 8 relations: 222158 Sun Nov 14 08:53:27 2021 9 relations: 199133 Sun Nov 14 08:53:27 2021 10+ relations: 858271 Sun Nov 14 08:53:27 2021 heaviest cycle: 24 relations Sun Nov 14 08:53:29 2021 commencing cycle optimization Sun Nov 14 08:53:34 2021 start with 21730867 relations Sun Nov 14 08:54:41 2021 pruned 893404 relations Sun Nov 14 08:54:41 2021 memory use: 620.4 MB Sun Nov 14 08:54:41 2021 distribution of cycle lengths: Sun Nov 14 08:54:41 2021 1 relations: 151231 Sun Nov 14 08:54:41 2021 2 relations: 223910 Sun Nov 14 08:54:41 2021 3 relations: 264789 Sun Nov 14 08:54:41 2021 4 relations: 270223 Sun Nov 14 08:54:41 2021 5 relations: 276647 Sun Nov 14 08:54:41 2021 6 relations: 269616 Sun Nov 14 08:54:41 2021 7 relations: 253525 Sun Nov 14 08:54:41 2021 8 relations: 229915 Sun Nov 14 08:54:41 2021 9 relations: 204399 Sun Nov 14 08:54:41 2021 10+ relations: 779560 Sun Nov 14 08:54:41 2021 heaviest cycle: 23 relations Sun Nov 14 08:54:46 2021 RelProcTime: 2108 Sun Nov 14 08:54:46 2021 Sun Nov 14 08:54:46 2021 commencing linear algebra Sun Nov 14 08:54:46 2021 read 2923815 cycles Sun Nov 14 08:54:54 2021 cycles contain 9421310 unique relations Sun Nov 14 08:56:27 2021 read 9421310 relations Sun Nov 14 08:56:49 2021 using 20 quadratic characters above 4294917295 Sun Nov 14 08:57:53 2021 building initial matrix Sun Nov 14 09:00:44 2021 memory use: 1317.8 MB Sun Nov 14 09:00:48 2021 read 2923815 cycles Sun Nov 14 09:00:49 2021 matrix is 2923637 x 2923815 (1179.1 MB) with weight 366696507 (125.42/col) Sun Nov 14 09:00:49 2021 sparse part has weight 274004587 (93.71/col) Sun Nov 14 09:01:33 2021 filtering completed in 2 passes Sun Nov 14 09:01:33 2021 matrix is 2923359 x 2923537 (1179.1 MB) with weight 366683434 (125.42/col) Sun Nov 14 09:01:33 2021 sparse part has weight 274000712 (93.72/col) Sun Nov 14 09:01:44 2021 matrix starts at (0, 0) Sun Nov 14 09:01:44 2021 matrix is 2923359 x 2923537 (1179.1 MB) with weight 366683434 (125.42/col) Sun Nov 14 09:01:44 2021 sparse part has weight 274000712 (93.72/col) Sun Nov 14 09:01:44 2021 saving the first 48 matrix rows for later Sun Nov 14 09:01:46 2021 matrix includes 64 packed rows Sun Nov 14 09:01:46 2021 matrix is 2923311 x 2923537 (1144.6 MB) with weight 307190693 (105.08/col) Sun Nov 14 09:01:46 2021 sparse part has weight 270804663 (92.63/col) Sun Nov 14 09:01:46 2021 using block size 8192 and superblock size 786432 for processor cache size 8192 kB Sun Nov 14 09:02:06 2021 commencing Lanczos iteration (6 threads) Sun Nov 14 09:02:06 2021 memory use: 931.6 MB Sun Nov 14 09:02:19 2021 linear algebra at 0.1%, ETA 6h25m Sun Nov 14 09:02:23 2021 checkpointing every 460000 dimensions Sun Nov 14 15:23:53 2021 lanczos halted after 46227 iterations (dim = 2923309) Sun Nov 14 15:23:57 2021 recovered 31 nontrivial dependencies Sun Nov 14 15:23:58 2021 BLanczosTime: 23352 Sun Nov 14 15:23:58 2021 Sun Nov 14 15:23:58 2021 commencing square root phase Sun Nov 14 15:23:58 2021 handling dependencies 1 to 64 Sun Nov 14 15:23:58 2021 reading relations for dependency 1 Sun Nov 14 15:23:59 2021 read 1462951 cycles Sun Nov 14 15:24:02 2021 cycles contain 4712272 unique relations Sun Nov 14 15:25:01 2021 read 4712272 relations Sun Nov 14 15:25:34 2021 multiplying 4712272 relations Sun Nov 14 15:31:17 2021 multiply complete, coefficients have about 259.88 million bits Sun Nov 14 15:31:19 2021 initial square root is modulo 2120098469 Sun Nov 14 15:38:01 2021 GCD is N, no factor found Sun Nov 14 15:38:01 2021 reading relations for dependency 2 Sun Nov 14 15:38:02 2021 read 1461959 cycles Sun Nov 14 15:38:06 2021 cycles contain 4709380 unique relations Sun Nov 14 15:39:04 2021 read 4709380 relations Sun Nov 14 15:39:37 2021 multiplying 4709380 relations Sun Nov 14 15:45:22 2021 multiply complete, coefficients have about 259.72 million bits Sun Nov 14 15:45:25 2021 initial square root is modulo 2092240441 Sun Nov 14 15:52:05 2021 GCD is N, no factor found Sun Nov 14 15:52:05 2021 reading relations for dependency 3 Sun Nov 14 15:52:06 2021 read 1462553 cycles Sun Nov 14 15:52:09 2021 cycles contain 4710154 unique relations Sun Nov 14 15:53:06 2021 read 4710154 relations Sun Nov 14 15:53:39 2021 multiplying 4710154 relations Sun Nov 14 15:59:20 2021 multiply complete, coefficients have about 259.76 million bits Sun Nov 14 15:59:22 2021 initial square root is modulo 2098737539 Sun Nov 14 16:06:01 2021 GCD is N, no factor found Sun Nov 14 16:06:01 2021 reading relations for dependency 4 Sun Nov 14 16:06:02 2021 read 1461889 cycles Sun Nov 14 16:06:05 2021 cycles contain 4710486 unique relations Sun Nov 14 16:07:06 2021 read 4710486 relations Sun Nov 14 16:07:41 2021 multiplying 4710486 relations Sun Nov 14 16:13:27 2021 multiply complete, coefficients have about 259.78 million bits Sun Nov 14 16:13:29 2021 initial square root is modulo 2102847737 Sun Nov 14 16:20:15 2021 sqrtTime: 3377 Sun Nov 14 16:20:15 2021 p62 factor: 40315988099240586215703985137665270195142280019796342480514799 Sun Nov 14 16:20:15 2021 p91 factor: 2580081752416767333625170470371684759394701435149478259309476845707989748359988487198609767 Sun Nov 14 16:20:15 2021 elapsed time 08:00:38```

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 15, 2015 20:40:18 UTC 2015 年 11 月 16 日 (月) 5 時 40 分 18 秒 (日本時間)
4511e64400600Dmitry DomanovNovember 18, 2015 22:36:48 UTC 2015 年 11 月 19 日 (木) 7 時 36 分 48 秒 (日本時間)
800Dmitry DomanovMarch 1, 2016 13:14:41 UTC 2016 年 3 月 1 日 (火) 22 時 14 分 41 秒 (日本時間)
3000Lionel DebrouxJanuary 3, 2018 15:38:56 UTC 2018 年 1 月 4 日 (木) 0 時 38 分 56 秒 (日本時間)
5043e65000yoyo@HomeMarch 22, 2021 13:02:21 UTC 2021 年 3 月 22 日 (月) 22 時 2 分 21 秒 (日本時間)
5511e73000 / 15705yoyo@HomeAugust 3, 2021 23:10:53 UTC 2021 年 8 月 4 日 (水) 8 時 10 分 53 秒 (日本時間)

11×10265+439

c242

composite cofactor 合成数の残り `16631159315591539523038651730226396670333572952342333495682926903556807236274686256022943152670998055782662135107735322053390735351059622641517214073218061479947435503874513700855038320719097926230131539194183393155387833586204829733045557063<242>`

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62336600Dmitry DomanovNovember 15, 2015 20:40:30 UTC 2015 年 11 月 16 日 (月) 5 時 40 分 30 秒 (日本時間)
1736ebinaJuly 13, 2022 20:09:03 UTC 2022 年 7 月 14 日 (木) 5 時 9 分 3 秒 (日本時間)

11×10267+439

c253

composite cofactor 合成数の残り `9333158712459365784563322215569386407113406127575311791837630067260446490983726836868240028371489852719119525672962405905249011748750181979536569538490431672760022996208293488001959352752459351718020641604550696330932831406448509115405761805239721454539<253>`

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62400600Dmitry DomanovNovember 15, 2015 20:40:46 UTC 2015 年 11 月 16 日 (月) 5 時 40 分 46 秒 (日本時間)
1800ebinaJuly 20, 2022 23:49:03 UTC 2022 年 7 月 21 日 (木) 8 時 49 分 3 秒 (日本時間)

11×10268+439

c245

composite cofactor 合成数の残り `12242570648895331020508247031216104287471760662572958317719726436205464065981574634546518963509408691202534625068707868810259239207380952731297325460648040946683210111827991285866386016169301557089872976327186968692113908609161819809219063364157<245>`

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62400600Dmitry DomanovNovember 15, 2015 20:40:59 UTC 2015 年 11 月 16 日 (月) 5 時 40 分 59 秒 (日本時間)
1800ebinaJuly 21, 2022 20:08:55 UTC 2022 年 7 月 22 日 (金) 5 時 8 分 55 秒 (日本時間)

11×10269+439

c223

composite cofactor 合成数の残り `5502871987869002968806419051429275942865673434983408575586100066011923480734573472321955839523829017273942587561687333792353595749865308468522328253671593595612305891411585510034881729214485326683063175516160645931526710991<223>`

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 15, 2015 20:41:19 UTC 2015 年 11 月 16 日 (月) 5 時 41 分 19 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovNovember 23, 2015 15:50:40 UTC 2015 年 11 月 24 日 (火) 0 時 50 分 40 秒 (日本時間)

11×10270+439

c243

composite cofactor 合成数の残り `108811467488845857785323838970911727125021598159691592497443344195322049426584376829066930851464536062350170839694379147281783725157233932230212479153390703544060088718263654733451512971875603765844872246019825403465924213267351209642646576121<243>`

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62400600Dmitry DomanovNovember 15, 2015 20:41:33 UTC 2015 年 11 月 16 日 (月) 5 時 41 分 33 秒 (日本時間)
1800ebinaJuly 21, 2022 03:06:10 UTC 2022 年 7 月 21 日 (木) 12 時 6 分 10 秒 (日本時間)

11×10271+439

c239

composite cofactor 合成数の残り `67596828381427761381226247558470842596018823169067428455048339990246451317407093938053688233335217918967932630656098264436486688275813470333617824945551185838466630004835333148457032594522604611338621261550784655996346584091819428539613673<239>`

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
403e62100600Dmitry DomanovNovember 15, 2015 20:41:49 UTC 2015 年 11 月 16 日 (月) 5 時 41 分 49 秒 (日本時間)
1500ebinaJuly 21, 2022 04:03:09 UTC 2022 年 7 月 21 日 (木) 13 時 3 分 9 秒 (日本時間)

11×10272+439

c227

name 名前 Dmitry Domanov November 23, 2015 16:33:06 UTC 2015 年 11 月 24 日 (火) 1 時 33 分 6 秒 (日本時間) `98621172522447652308565245522331584711922244663550917759757287606738650054955310123262943867320730944794932511283087561278841688970882998874279845056610104260829441425607577967475972104147413725777392620108122296581798242351727<227>` ```64722459052233727327625136436379668161649<41> 1523755029808991768489900203034502116294716378630404942041082035529430043710207766895052375619820109491469880169929444702890662240476409983538860349998562595132526995403750373186676096223<187>``` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2231632808 Step 1 took 90636ms Step 2 took 26517ms ********** Factor found in step 2: 64722459052233727327625136436379668161649 Found probable prime factor of 41 digits: 64722459052233727327625136436379668161649```

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovNovember 15, 2015 20:42:16 UTC 2015 年 11 月 16 日 (月) 5 時 42 分 16 秒 (日本時間)
4511e6600 / 4305Dmitry DomanovNovember 23, 2015 15:51:05 UTC 2015 年 11 月 24 日 (火) 0 時 51 分 5 秒 (日本時間)

11×10273+439

c209

composite cofactor 合成数の残り `76654944112149900724496696832561043054887684313356529403876429969844619912262854986633528569584729048280971973372853350353652077155733594702232454523765437097127668939952013425949658763696693230556208890680277<209>`

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 15, 2015 20:42:32 UTC 2015 年 11 月 16 日 (月) 5 時 42 分 32 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovNovember 23, 2015 15:51:24 UTC 2015 年 11 月 24 日 (火) 0 時 51 分 24 秒 (日本時間)

11×10274+439

c271

composite cofactor 合成数の残り `2828563346961865823240505027128493918588804031988480032914191673738075034071331224767929234487901463138676746637866748952145851011854251844994728586489752886420324513358533261333539047031294196302296279153488132891048882717477950062999820000514284244902157422407364550387<271>`

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 14, 2015 09:49:04 UTC 2015 年 11 月 14 日 (土) 18 時 49 分 4 秒 (日本時間)
4511e6800 / 4346Dmitry DomanovJanuary 23, 2016 15:36:44 UTC 2016 年 1 月 24 日 (日) 0 時 36 分 44 秒 (日本時間)

11×10275+439

c213

composite cofactor 合成数の残り `308323924456544174889849056078371461198983027268826090696209705410584572373084098348183291766328158646891877088607014149639305126416238710292380647564488248348608392277054411652019953569287617446849281496153912349<213>`

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62400600Dmitry DomanovNovember 15, 2015 20:42:54 UTC 2015 年 11 月 16 日 (月) 5 時 42 分 54 秒 (日本時間)
1800ebinaJuly 21, 2022 05:03:16 UTC 2022 年 7 月 21 日 (木) 14 時 3 分 16 秒 (日本時間)

11×10276+439

c244

composite cofactor 合成数の残り `5510230116475843925382794717012719229852504682611805208806958062098141143614309596535147886430171774525795817525240755287545369689202684895465941049633011763781003515350997797619480583937595848867155814453050097334067910796884573581543750335031<244>`

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
403e62100600Dmitry DomanovNovember 15, 2015 20:46:18 UTC 2015 年 11 月 16 日 (月) 5 時 46 分 18 秒 (日本時間)
1500ebinaJuly 21, 2022 05:54:19 UTC 2022 年 7 月 21 日 (木) 14 時 54 分 19 秒 (日本時間)

11×10277+439

c230

composite cofactor 合成数の残り `69519456401800394623509487743219987512840956009885688104421272407197571505715608613591590893078596919920756153398863403157015268389051878725703381127813308148613061354824095709978522641748497510722701154461875303796138859299036349<230>`

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62400600Dmitry DomanovNovember 16, 2015 08:14:06 UTC 2015 年 11 月 16 日 (月) 17 時 14 分 6 秒 (日本時間)
1800ebinaJuly 21, 2022 07:00:50 UTC 2022 年 7 月 21 日 (木) 16 時 0 分 50 秒 (日本時間)

11×10278+439

c246

composite cofactor 合成数の残り `124981153849785719943015834621412578007177222656609664502323666743927618383325557174900093044137470502675630715673938331669463967884538255512054088539429758309773127523777005819834126888888040096570066155063646485320598302302270365485679955693049<246>`

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62400600Dmitry DomanovNovember 15, 2015 20:46:30 UTC 2015 年 11 月 16 日 (月) 5 時 46 分 30 秒 (日本時間)
1800ebinaJuly 21, 2022 08:54:47 UTC 2022 年 7 月 21 日 (木) 17 時 54 分 47 秒 (日本時間)

11×10280+439

c237

name 名前 Dmitry Domanov November 16, 2015 12:22:02 UTC 2015 年 11 月 16 日 (月) 21 時 22 分 2 秒 (日本時間) `116431845779604268347212155883509626032307443500229245130117067251333246674453374524115122585076365816901344313320504222230924741770344954597931740506646658938165090728623335666449199457747193599742485673088164734693630312646898377814653<237>` ```83169565050074884265559290547658372834021<41> 1399933325483940779227404601326077684252726721197417410898924407622189256082173829462538879833377664338893544844703769866552918562011844730831060808420389449644357591151473746904974513722094116793<196>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1276756544 Step 1 took 44366ms Step 2 took 16196ms ********** Factor found in step 2: 83169565050074884265559290547658372834021 Found probable prime factor of 41 digits: 83169565050074884265559290547658372834021```

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 16, 2015 08:14:26 UTC 2015 年 11 月 16 日 (月) 17 時 14 分 26 秒 (日本時間)

11×10281+439

c267

composite cofactor 合成数の残り `171201537565602708983406035805356655865073761193810097554606613085889766798467224566592374169004904702025127545190250436154526742232686417267781634639388046110347317365940670940591248909602636561018622032691490038711842698881112967822232091524109964097940088381203123<267>`

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62400600Dmitry DomanovNovember 15, 2015 20:43:40 UTC 2015 年 11 月 16 日 (月) 5 時 43 分 40 秒 (日本時間)
1800ebinaJuly 21, 2022 09:59:34 UTC 2022 年 7 月 21 日 (木) 18 時 59 分 34 秒 (日本時間)

11×10282+439

c208

name 名前 ebina July 21, 2022 10:42:34 UTC 2022 年 7 月 21 日 (木) 19 時 42 分 34 秒 (日本時間) `2217888154784067111901190451693537568115591896849992406647425891313746720148102107202658390395180741657511787484873359206325675291347960885094874992943551724340607296511673182899333022610873276587769462151307<208>` `35580599775358911850459370801683397056229419<44>` `62334198096347144263830204344883860549601661794643403077764941673279107770161488758656448380313575925219499038233735822921583035221027276544426953073253603507185953<164>` ```C:\MYDATA\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:2790935096 3e6 GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM] Input number is 2217888154784067111901190451693537568115591896849992406647425891313746720148102107202658390395180741657511787484873359206325675291347960885094874992943551724340607296511673182899333022610873276587769462151307 (208 digits) Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2790935096 Step 1 took 6016ms Step 2 took 4453ms ********** Factor found in step 2: 35580599775358911850459370801683397056229419 Found probable prime factor of 44 digits: 35580599775358911850459370801683397056229419 Composite cofactor 62334198096347144263830204344883860549601661794643403077764941673279107770161488758656448380313575925219499038233735822921583035221027276544426953073253603507185953 has 164 digits```

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e64172600Dmitry DomanovNovember 16, 2015 08:14:42 UTC 2015 年 11 月 16 日 (月) 17 時 14 分 42 秒 (日本時間)
1222ebinaJuly 21, 2022 10:41:57 UTC 2022 年 7 月 21 日 (木) 19 時 41 分 57 秒 (日本時間)
2350Ignacio SantosJuly 26, 2022 08:25:40 UTC 2022 年 7 月 26 日 (火) 17 時 25 分 40 秒 (日本時間)
4511e64480Ignacio SantosJuly 31, 2022 15:58:03 UTC 2022 年 8 月 1 日 (月) 0 時 58 分 3 秒 (日本時間)

11×10283+439

c257

name 名前 Dmitry Domanov November 16, 2015 07:29:00 UTC 2015 年 11 月 16 日 (月) 16 時 29 分 0 秒 (日本時間) `43377034689192754872681001283073310131025247641866897551316928603600099703746960889126608032922168840113859702396838356680392443157502033763552416846053530322748848242997245994310316105700042602215932649798167366250364274958363367726552389774585299858297341<257>` `3361028608143402005752664914679491<34>` `12905880831866464635396069400821794157492054842666716537867772965292100561883763438816119414774512178192066417902857202340279046124729637341076043737605146174464731378302807283396171445505241503947480517059698002609177356351<224>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1723534048 Step 1 took 38383ms Step 2 took 10616ms ********** Factor found in step 2: 3361028608143402005752664914679491 Found probable prime factor of 34 digits: 3361028608143402005752664914679491```

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62392600Dmitry DomanovNovember 15, 2015 20:43:58 UTC 2015 年 11 月 16 日 (月) 5 時 43 分 58 秒 (日本時間)
1792Dmitry DomanovSeptember 28, 2023 09:02:45 UTC 2023 年 9 月 28 日 (木) 18 時 2 分 45 秒 (日本時間)

11×10284+439

c249

composite cofactor 合成数の残り `207957709978559499730080665132927571427339134235176276746193066921866935902260432813864742432712312857156984143484620256522902951873583066569177033296677852058598362391044705986794229224398789793360927682722684838421627087547390004183729646872685273<249>`

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62392600Dmitry DomanovNovember 15, 2015 20:44:12 UTC 2015 年 11 月 16 日 (月) 5 時 44 分 12 秒 (日本時間)
1792Dmitry DomanovSeptember 28, 2023 09:02:56 UTC 2023 年 9 月 28 日 (木) 18 時 2 分 56 秒 (日本時間)

11×10286+439

c237

name 名前 Dmitry Domanov November 16, 2015 11:08:08 UTC 2015 年 11 月 16 日 (月) 20 時 8 分 8 秒 (日本時間) `863020856451655158190797484784450866995337481251620218734050682264895264610016276703656871508683930302695372174170038307922084470700846147905211039755489898811966263497837750605762150549516534506478260843533123093252863489961332832314873<237>` `982867633691769227156434128536627<33>` `878064173514438422335310883356241836038821182547487418289302305812047672294372585571753173773420253910553694397861939372433940392810390959379227910391015894956949224580557675977809650446422001699724894499<204>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3556721144 Step 1 took 47501ms Step 2 took 15514ms ********** Factor found in step 2: 982867633691769227156434128536627 Found probable prime factor of 33 digits: 982867633691769227156434128536627```

c204

name 名前 Dmitry Domanov November 19, 2015 09:28:34 UTC 2015 年 11 月 19 日 (木) 18 時 28 分 34 秒 (日本時間) `878064173514438422335310883356241836038821182547487418289302305812047672294372585571753173773420253910553694397861939372433940392810390959379227910391015894956949224580557675977809650446422001699724894499<204>` `35600893774938935297234090804920676321<38>` `24664104757183010598763977545107134253117632167432545645538802952391957776952244342243878413282050734572514886408801780943457956722228350414081230767658087328410796419<167>` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3440326221 Step 1 took 127110ms ********** Factor found in step 1: 35600893774938935297234090804920676321 Found probable prime factor of 38 digits: 35600893774938935297234090804920676321```

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 16, 2015 08:14:59 UTC 2015 年 11 月 16 日 (月) 17 時 14 分 59 秒 (日本時間)
4511e61400600Dmitry DomanovNovember 18, 2015 22:37:28 UTC 2015 年 11 月 19 日 (木) 7 時 37 分 28 秒 (日本時間)
800Dmitry DomanovFebruary 11, 2016 06:20:53 UTC 2016 年 2 月 11 日 (木) 15 時 20 分 53 秒 (日本時間)
5043e62392 / 6927600Dmitry DomanovFebruary 12, 2016 23:46:37 UTC 2016 年 2 月 13 日 (土) 8 時 46 分 37 秒 (日本時間)
1792Dmitry DomanovJuly 1, 2024 19:08:41 UTC 2024 年 7 月 2 日 (火) 4 時 8 分 41 秒 (日本時間)
5511e7120 / 16824Dmitry DomanovFebruary 28, 2016 22:08:05 UTC 2016 年 2 月 29 日 (月) 7 時 8 分 5 秒 (日本時間)

11×10287+439

c277

composite cofactor 合成数の残り `3347461931734060105024523996834587180489284422555007558012769761133783039104314067042055032388281814642572714136898596003511506056551481064851814880868395376834812680071249695833506829964855361534739636156453317635650161014882202831253077931201131067786866915937690209692052347<277>`

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62392600Dmitry DomanovNovember 15, 2015 20:44:24 UTC 2015 年 11 月 16 日 (月) 5 時 44 分 24 秒 (日本時間)
1792Dmitry DomanovSeptember 28, 2023 09:03:04 UTC 2023 年 9 月 28 日 (木) 18 時 3 分 4 秒 (日本時間)

11×10289+439

c251

composite cofactor 合成数の残り `41935453016945858122365847594499358914767750755756481146405439560436199637232714264172658735450931225309281596061012415481784298264226040016319449920983242963195770077609252370969166670365676916988455500150654960625223879753218858045799397043228359537<251>`

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62392600Dmitry DomanovNovember 15, 2015 20:44:36 UTC 2015 年 11 月 16 日 (月) 5 時 44 分 36 秒 (日本時間)
1792Dmitry DomanovSeptember 28, 2023 09:03:13 UTC 2023 年 9 月 28 日 (木) 18 時 3 分 13 秒 (日本時間)

11×10290+439

c270

name 名前 Dmitry Domanov November 16, 2015 07:29:41 UTC 2015 年 11 月 16 日 (月) 16 時 29 分 41 秒 (日本時間) `223566986480908992069215500579595331700734504749244741516824005682071782694105315532531417914493661816274488585581094678256518782897146218219416578323161322740138241029302845706815238050124135515459353261040361321314347288935742699876998808348625765425615015052011633021<270>` `69628643261214561542817728850671<32>` `3210847950062573424172079141574252564525946516350499510992771543955493207499044759043797754026167810489447969045081140817194259075537331274673794291347364402510907170685651076534823087605681014265301390272386930128515658768493848133472851<238>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1016722854 Step 1 took 35823ms Step 2 took 10073ms ********** Factor found in step 2: 69628643261214561542817728850671 Found probable prime factor of 32 digits: 69628643261214561542817728850671```

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62392600Dmitry DomanovNovember 15, 2015 20:44:51 UTC 2015 年 11 月 16 日 (月) 5 時 44 分 51 秒 (日本時間)
1792Dmitry DomanovSeptember 28, 2023 09:03:20 UTC 2023 年 9 月 28 日 (木) 18 時 3 分 20 秒 (日本時間)

11×10291+439

c263

composite cofactor 合成数の残り `16990512658819224450907215473907534684089430985837998030318012195268255309424783340959620844094048173701031703764530673038131102515675327686329295262950795669117906300876053637308795757580725939043013543306217058612647458141809300010120994734569539020364871757127<263>`

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62392600Dmitry DomanovNovember 15, 2015 20:45:04 UTC 2015 年 11 月 16 日 (月) 5 時 45 分 4 秒 (日本時間)
1792Dmitry DomanovSeptember 28, 2023 09:03:27 UTC 2023 年 9 月 28 日 (木) 18 時 3 分 27 秒 (日本時間)

11×10292+439

c258

name 名前 Dmitry Domanov November 16, 2015 00:06:35 UTC 2015 年 11 月 16 日 (月) 9 時 6 分 35 秒 (日本時間) `580658103107232533326596708718062141153298588467565413631792493706635038871398535295250749437901993061025585005653153611047023476404925595328327110125547573844572999465701197663926045955690932192773581556899093337084860327112887610112155151039461327027718901<258>` `2621950587330035584500939145923679<34>` `221460353186336663872056284047475282383648396440667407323358147454839778948562380431957226274832931324122020691600656309841321537821458071045590910471347521846244453465596302663219038264251374419738573682739714588141729311019<225>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2620987041 Step 1 took 35788ms Step 2 took 11978ms ********** Factor found in step 2: 2621950587330035584500939145923679 Found probable prime factor of 34 digits: 2621950587330035584500939145923679```

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62392600Dmitry DomanovNovember 15, 2015 20:45:22 UTC 2015 年 11 月 16 日 (月) 5 時 45 分 22 秒 (日本時間)
1792Dmitry DomanovSeptember 28, 2023 09:03:34 UTC 2023 年 9 月 28 日 (木) 18 時 3 分 34 秒 (日本時間)

11×10293+439

c226

composite cofactor 合成数の残り `1779771045827567285462439376680579329073005481790963926335942192056297632697737831024987062750085113877112084534240957250357085832769784973002770287090386425800674497867777445721194606701246700690581613771815129643085362567193<226>`

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62392600Dmitry DomanovNovember 16, 2015 14:03:57 UTC 2015 年 11 月 16 日 (月) 23 時 3 分 57 秒 (日本時間)
1792Dmitry DomanovSeptember 28, 2023 09:03:42 UTC 2023 年 9 月 28 日 (木) 18 時 3 分 42 秒 (日本時間)

11×10295+439

c286

composite cofactor 合成数の残り `6540753987864571535940742440448820680510149767727274465518641411298302441970944514814067874583727321670259094629690433172417150732870170401434785550641481732946912889590200899438905301980450526757698836386837566176895323200786965348416058961631104825972167548282617911855045505008687821<286>`

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62392600Dmitry DomanovNovember 16, 2015 08:15:28 UTC 2015 年 11 月 16 日 (月) 17 時 15 分 28 秒 (日本時間)
1792Dmitry DomanovSeptember 28, 2023 09:03:50 UTC 2023 年 9 月 28 日 (木) 18 時 3 分 50 秒 (日本時間)

11×10296+439

c265

composite cofactor 合成数の残り `2369119181958570630406471091017256779358278432390706890008831656526463316546426351495625383233788170064676110534304164164774608349610977126856481797135008232060888510194042643588571411482791893956220147070931149349347977167564305696928440769977784400722572928759283<265>`

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62392600Dmitry DomanovNovember 16, 2015 13:26:12 UTC 2015 年 11 月 16 日 (月) 22 時 26 分 12 秒 (日本時間)
1792Dmitry DomanovSeptember 28, 2023 09:03:57 UTC 2023 年 9 月 28 日 (木) 18 時 3 分 57 秒 (日本時間)

11×10297+439

c281

name 名前 Dmitry Domanov November 16, 2015 15:45:25 UTC 2015 年 11 月 17 日 (火) 0 時 45 分 25 秒 (日本時間) `42279254052140892059513699101879612922190099293582666301264822371055853160260585919790047630207634901965762357887023489332348967833518582407916943639651696301772562145840296444697508685408689378566952884499663501897719073506181828967131446707765343764463049498338258142502406211719<281>` `44555300920175281504108016389093<32>` `948916361891211856556095293998904791628901223793951517924173599746784736044372786448486628493810901515179747530553805212060600129550909466700309208098419256332225093011950707877692608918794971232907320312051882621364807318146667893210673582964569083<249>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4278829958 Step 1 took 45461ms Step 2 took 15491ms ********** Factor found in step 2: 44555300920175281504108016389093 Found probable prime factor of 32 digits: 44555300920175281504108016389093```

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62392600Dmitry DomanovNovember 16, 2015 13:26:00 UTC 2015 年 11 月 16 日 (月) 22 時 26 分 0 秒 (日本時間)
1792Dmitry DomanovSeptember 28, 2023 09:04:05 UTC 2023 年 9 月 28 日 (木) 18 時 4 分 5 秒 (日本時間)

11×10298+439

c277

composite cofactor 合成数の残り `8427376481810208874025290131481479125062124059240464879622775099162065133157856992224302328177393509057407680529752323959542642894044256881526982338366523431003172439845165246303854651920021144863574074090217099462410271516700260946414005364485781586772226174264278937718095447<277>`

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62392600Dmitry DomanovNovember 16, 2015 13:25:47 UTC 2015 年 11 月 16 日 (月) 22 時 25 分 47 秒 (日本時間)
1792Dmitry DomanovSeptember 28, 2023 09:04:13 UTC 2023 年 9 月 28 日 (木) 18 時 4 分 13 秒 (日本時間)

11×10299+439

c269

composite cofactor 合成数の残り `36665168774060053442470498293461894687675166424770779891713193120401382003129398844111366921721052403194416313708695747520283256880429308059087331258955486023136532088382861969557902330737388545247578909258001174044742354702449166264598683579766516896272212073736502791<269>`

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62392600Dmitry DomanovNovember 16, 2015 13:25:34 UTC 2015 年 11 月 16 日 (月) 22 時 25 分 34 秒 (日本時間)
1792Dmitry DomanovSeptember 28, 2023 09:04:21 UTC 2023 年 9 月 28 日 (木) 18 時 4 分 21 秒 (日本時間)

11×10300+439

c251

name 名前 Dmitry Domanov November 19, 2015 06:21:53 UTC 2015 年 11 月 19 日 (木) 15 時 21 分 53 秒 (日本時間) `28950143240264401759503535608955159780736943494193495594708353935331865012501957227260667623831136935711109606553042221647489938703059779192345371496107411804819369212282034724387914791046927556993126185506760982548990147148867960534610662985450115391<251>` ```8055413996608870807653973360936901605119034393<46> 3593874039552987956751349074677196514249830572596485044491991751109071669464509541786557558653663105758007842701081657689686783014001358879141083962523121737182925358954849700939487784636170092669436062487<205>``` ```Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2641970550 Step 1 took 550505ms Step 2 took 131636ms ********** Factor found in step 2: 8055413996608870807653973360936901605119034393 Found probable prime factor of 46 digits: 8055413996608870807653973360936901605119034393```

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e61200Dmitry DomanovNovember 14, 2015 22:51:37 UTC 2015 年 11 月 15 日 (日) 7 時 51 分 37 秒 (日本時間)
4511e61200Dmitry DomanovNovember 16, 2015 23:43:07 UTC 2015 年 11 月 17 日 (火) 8 時 43 分 7 秒 (日本時間)
5043e6864 / 7239Dmitry DomanovNovember 18, 2015 17:15:20 UTC 2015 年 11 月 19 日 (木) 2 時 15 分 20 秒 (日本時間)