Table of contents 目次

11×10102+439

c95

name 名前Robert Backstrom
date 日付February 1, 2008 16:00:10 UTC 2008 年 2 月 2 日 (土) 1 時 0 分 10 秒 (日本時間)
composite number 合成数
10265159244455873112829444643247917139231437952773602587564446967732570287092119648243713514527<95>
prime factors 素因数
15986555733012893316173285293<29>
642111998099621810502419011210481164093871271217524484541221231739<66>
factorization results 素因数分解の結果
GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 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
date 日付February 2, 2008 01:30:36 UTC 2008 年 2 月 2 日 (土) 10 時 30 分 36 秒 (日本時間)
composite number 合成数
256238648191114710565285519387936251830970731466532285801786220981002210384462564243979166307059018353<102>
prime factors 素因数
52998473697593985191483510398970980470758279<44>
4834830709525647808402348659617169367180675927813342017607<58>
factorization results 素因数分解の結果
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
date 日付February 2, 2008 02:12:14 UTC 2008 年 2 月 2 日 (土) 11 時 12 分 14 秒 (日本時間)
composite number 合成数
2351467422556558135756627397160709972145799530989134082810131831814499148127483737465075364530892937688251<106>
prime factors 素因数
81184110247381809060406319688698040691781701091<47>
28964626395377574001973137610529281064629935087612238738761<59>
factorization results 素因数分解の結果
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
date 日付February 2, 2008 05:21:45 UTC 2008 年 2 月 2 日 (土) 14 時 21 分 45 秒 (日本時間)
composite number 合成数
51105806753981743159739057597763445623761010676640079468814415944058025931144285169076386486598523<98>
prime factors 素因数
143286201861700132912700962874088411962741<42>
356669421688691816769551532579943147017949354032325568303<57>
factorization results 素因数分解の結果
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) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

11×10119+439

c117

name 名前Jo Yeong Uk
date 日付February 2, 2008 02:16:33 UTC 2008 年 2 月 2 日 (土) 11 時 16 分 33 秒 (日本時間)
composite number 合成数
133284866109293590209620743971889010056948988246698170362292499697079849751605476796316490972979522597843208530231431<117>
prime factors 素因数
7726724306485600711748047366001<31>
125939710672765832787789653955253825423<39>
136969141012293087278356134180738215385520447897<48>
factorization results 素因数分解の結果
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)
execution environment 実行環境
Core 2 Quad Q6600

11×10120+439

c117

name 名前Robert Backstrom
date 日付February 2, 2008 08:10:52 UTC 2008 年 2 月 2 日 (土) 17 時 10 分 52 秒 (日本時間)
composite number 合成数
138621098131135558832054238655123309767746651040288331884112761962370672816402656484316913034163799730318954544881731<117>
prime factors 素因数
10360202665625776591605886682977757294938234539486161<53>
13380153130697716154258396236743209165877691612680584935690556371<65>
factorization results 素因数分解の結果
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
date 日付February 1, 2008 17:05:06 UTC 2008 年 2 月 2 日 (土) 2 時 5 分 6 秒 (日本時間)
composite number 合成数
22138953363959745421379839604225645580332475271142641985681186299008195676740101563880539<89>
prime factors 素因数
202819334939982598056638072887<30>
109156029776505315605230350032970862543603279732264658041597<60>
factorization results 素因数分解の結果
GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 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
date 日付February 2, 2008 02:52:17 UTC 2008 年 2 月 2 日 (土) 11 時 52 分 17 秒 (日本時間)
composite number 合成数
2374938330216790235788393155659587198612028752171208401458971201158981245757458030675331518355144622279<103>
prime factors 素因数
479001684843585031175534119002948761<36>
4958100159903010190304866660512588272578698548918562249510374124639<67>
factorization results 素因数分解の結果
GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 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
date 日付February 2, 2008 21:47:52 UTC 2008 年 2 月 3 日 (日) 6 時 47 分 52 秒 (日本時間)
composite number 合成数
4818502846890221045374101350076711059884336292143407476048410706538319861125528494833125036863<94>
prime factors 素因数
26911423347030094859147806513779908366419<41>
179050464360592207024627576920634186756605854426645477<54>
factorization results 素因数分解の結果
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
execution environment 実行環境
Pentium3 750MHz,  Windows Me

11×10126+439

c96

name 名前Robert Backstrom
date 日付February 2, 2008 12:38:29 UTC 2008 年 2 月 2 日 (土) 21 時 38 分 29 秒 (日本時間)
composite number 合成数
551392051907478892905276839856959560249645709930693432714313355558298115017072124938461681767467<96>
prime factors 素因数
1745478423811049629208332776515371425419<40>
315897374831811624279270914479096464615835238536442426593<57>
factorization results 素因数分解の結果
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
date 日付February 2, 2008 05:58:46 UTC 2008 年 2 月 2 日 (土) 14 時 58 分 46 秒 (日本時間)
composite number 合成数
1209184384154813126811139566254392827852082625059530960400249371035577422425807826050316547803032649271654458950157<115>
prime factors 素因数
137168336280987058909192029624923<33>
8815331708024940951855441988686640906430791155889863737109891988891471546179563959<82>
factorization results 素因数分解の結果
GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 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
date 日付February 2, 2008 13:13:45 UTC 2008 年 2 月 2 日 (土) 22 時 13 分 45 秒 (日本時間)
composite number 合成数
918964076858813700918964076858813700918964076858813700918964076858813700918964076858813700918964076858813700918964076858813700919<129>
prime factors 素因数
32415240075876389291454435280241<32>
772883054289567450015728285748118755690584982373<48>
36680521954763531909701891063601113368415398966683<50>
factorization results 素因数分解の結果
GMP-ECM 6.1.3 [powered by GMP 4.2.1] [ECM]
Input number is 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
date 日付February 2, 2008 15:48:20 UTC 2008 年 2 月 3 日 (日) 0 時 48 分 20 秒 (日本時間)
composite number 合成数
545391442312459715404829193316475779661857305766274976449005900143785016609648470424909514601616341910853289702017948336556100947<129>
prime factors 素因数
111112771172331750872514090492110122437339906630826550009<57>
4908449645869942293694487080630525727438428859396006401801847501095827883<73>
factorization results 素因数分解の結果
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
date 日付February 3, 2008 01:49:07 UTC 2008 年 2 月 3 日 (日) 10 時 49 分 7 秒 (日本時間)
composite number 合成数
1744355443597675135882479103597911072800396043417938417736429887625152088132861173319540054833362331579867<106>
prime factors 素因数
3516588143890561652644886771677592087<37>
496036320496666194477662303711920463713480656308118096409742336798941<69>
factorization results 素因数分解の結果
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
date 日付February 2, 2008 14:15:14 UTC 2008 年 2 月 2 日 (土) 23 時 15 分 14 秒 (日本時間)
composite number 合成数
1041273133644800638436966964039937301980376146456499962236974820226681909664960757201914741690067877385787858958446802111<121>
prime factors 素因数
15069402715240311151513397026733944991125470105653<50>
69098500671942225559710465911019554432414961727090137082577263863265187<71>
factorization results 素因数分解の結果
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
date 日付February 2, 2008 17:47:54 UTC 2008 年 2 月 3 日 (日) 2 時 47 分 54 秒 (日本時間)
composite number 合成数
17460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317461<137>
prime factors 素因数
826947682191349154287338776865934602857<39>
21114174253501663398552547882800994034080029605303708859438928706621453258063526161207848053837773<98>
factorization results 素因数分解の結果
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
date 日付February 2, 2008 12:26:47 UTC 2008 年 2 月 2 日 (土) 21 時 26 分 47 秒 (日本時間)
composite number 合成数
31952550845804420141668463672712528275349504043112878808043841079538101373805116809050521099907<95>
prime factors 素因数
7463409413579206909424210728917778139<37>
4281227127600524118339409264146075718886687783760343681913<58>
factorization results 素因数分解の結果
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
execution environment 実行環境
Pentium 4  2.4GHz, Windows XP and Cygwin)

11×10142+439

c132

name 名前Robert Backstrom
date 日付February 3, 2008 08:16:45 UTC 2008 年 2 月 3 日 (日) 17 時 16 分 45 秒 (日本時間)
composite number 合成数
890288968133139258467427941637942626811916485305684466174890492674520641988294022763275638082211998002722782842984474256989590786069<132>
prime factors 素因数
3068600121073799335852157386784751919947571513958188339<55>
290128701364190538984568387515170669387068553760927649832295688847493293426071<78>
factorization results 素因数分解の結果
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
date 日付February 3, 2008 07:54:49 UTC 2008 年 2 月 3 日 (日) 16 時 54 分 49 秒 (日本時間)
composite number 合成数
5463666616996970148512392589281279491382307654100233447573635325088163711319723836487359062236129737247305418963890130631301842745740823523568271<145>
prime factors 素因数
5708590448834065059889081709749195794968604751<46>
957095567805688585006539301709267550428734463658167833478066966464619925304020149513216150426243521<99>
factorization results 素因数分解の結果
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
date 日付February 2, 2008 04:24:13 UTC 2008 年 2 月 2 日 (土) 13 時 24 分 13 秒 (日本時間)
composite number 合成数
5636384248435557042913746716336205772629431650068022004880943778426067540786043932194784677<91>
prime factors 素因数
919097914080506766975348639423129323618987<42>
6132517724267022835952150979164863488281978181871<49>
factorization results 素因数分解の結果
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
date 日付February 2, 2008 13:51:54 UTC 2008 年 2 月 2 日 (土) 22 時 51 分 54 秒 (日本時間)
composite number 合成数
1721439749608763693270735524256651017214397496087636932707355242566510172143974960876369327073552425665101721439749608763693270735524256651017214397496087637<157>
prime factors 素因数
73609322750518380920243244497<29>
699257274423233790983654844817<30>
33444292414172749749400378136524476926764366571801070725522241132909588873350783579759308359249013<98>
factorization results 素因数分解の結果
GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 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
date 日付February 4, 2008 13:31:59 UTC 2008 年 2 月 4 日 (月) 22 時 31 分 59 秒 (日本時間)
composite number 合成数
187500975418943751652660969335071540461164444315032750609349244011086201230476532801845590733194291631585853137616657120810227526386921690265699<144>
prime factors 素因数
25040024464232789848294795392827328171553<41>
7488050807888404363384367482738346838595043907027771100444640147357671594913324944576167521340548615683<103>
factorization results 素因数分解の結果
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
date 日付February 4, 2008 23:42:10 UTC 2008 年 2 月 5 日 (火) 8 時 42 分 10 秒 (日本時間)
composite number 合成数
42995686218485684425354382121193634172142999966913173892702721973494978030934860093628100416097942649000816546309174279218259378307775145242162473970669<152>
prime factors 素因数
318837544764593718793341618330869638110392459849809<51>
134851390385127161706957990388292357099558851675798087663094956194342092914353779808237658244386936541<102>
factorization results 素因数分解の結果
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
date 日付February 4, 2008 15:45:48 UTC 2008 年 2 月 5 日 (火) 0 時 45 分 48 秒 (日本時間)
composite number 合成数
106431301919120237688735078249834833010124765834094812393480977237992899922947939162691163394995651402773321309581435695350268038541000732252438497<147>
prime factors 素因数
3212438113559117047787995708543127<34>
85399350297534323459073364282519538599251337<44>
387953825000560041646082303950754107610352645432704733536989058413903<69>
factorization results 素因数分解の結果
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
date 日付February 7, 2008 12:27:22 UTC 2008 年 2 月 7 日 (木) 21 時 27 分 22 秒 (日本時間)
composite number 合成数
131280582408401957274137725265544814416994868122687671559852010979830528702709153836973385845566296694116242988423439551259100131280582408401957274137725265544814417<165>
prime factors 素因数
541971448192550699513304798616393006342507476379452171739705124200789773013<75>
242227856921645093713988883275176251092372232052137498460161900833598670237188488521812109<90>
factorization results 素因数分解の結果
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
date 日付February 14, 2008 23:31:50 UTC 2008 年 2 月 15 日 (金) 8 時 31 分 50 秒 (日本時間)
composite number 合成数
12222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227<170>
prime factors 素因数
227030126709317368877348740835730359515559877331<48>
53835243803881555060152528124341137855983903787606163934998794151883156545332025716371870291431461909592002513314902039617<122>
factorization results 素因数分解の結果
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)
execution environment 実行環境
Core 2 Quad Q6600

11×10172+439

c144

name 名前Sinkiti Sibata
date 日付May 5, 2010 03:23:57 UTC 2010 年 5 月 5 日 (水) 12 時 23 分 57 秒 (日本時間)
composite number 合成数
512143821392666137322546125031812248897121458111741758928529205443140141103130240684710075417937292211457450671578281851106585219105913330705401<144>
prime factors 素因数
35961438828688876721152363297572390090093999231965593<53>
14241471923089303784844237590688688304745969398828592294364284537372998058824838344669436257<92>
factorization results 素因数分解の結果
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) ----------
execution environment 実行環境
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
date 日付February 4, 2008 03:35:25 UTC 2008 年 2 月 4 日 (月) 12 時 35 分 25 秒 (日本時間)
composite number 合成数
3908071027696326886864028499843206919992522378639674173594528479164089521830871500698729823982185555728949<106>
prime factors 素因数
47531082292491978658661669522302345299666587893<47>
82221376817115875746030616826703371178580921798546057059393<59>
factorization results 素因数分解の結果
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)
execution environment 実行環境
Core 2 Quad Q6600

11×10177+439

c172

name 名前matsui
date 日付September 30, 2009 00:16:21 UTC 2009 年 9 月 30 日 (水) 9 時 16 分 21 秒 (日本時間)
composite number 合成数
4970989755693929834027690220571853623331837517325029068992366819276052166470312571316756438222572902954078448545059084732328018441468177305262606091089320099654787356875037<172>
prime factors 素因数
55787633447660991296304360824773479896272139981968559<53>
5262473431773579047842882158186090489494636716739379529237<58>
16932263297944616820513923713596671722409861171887225084414439<62>
factorization results 素因数分解の結果
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
date 日付February 5, 2012 21:06:44 UTC 2012 年 2 月 6 日 (月) 6 時 6 分 44 秒 (日本時間)
composite number 合成数
438197597990589596844359517654788559216279319050317862315674930202266381636381922965446788817937181903450849801595722284582230301044743097984004917042865870297987<162>
prime factors 素因数
308715800484785935831708101966275113<36>
1419420701183659546683842616156623454051347742950473211922505987468314251156744959578698233932650715820333979598550073676938699<127>
factorization results 素因数分解の結果
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
software ソフトウェア
GMP-ECM 6.3 [configured with GMP 5.0.2 and --enable-asm-redc] [ECM]
execution environment 実行環境
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
date 日付March 5, 2008 02:34:28 UTC 2008 年 3 月 5 日 (水) 11 時 34 分 28 秒 (日本時間)
composite number 合成数
12222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227<182>
prime factors 素因数
17516603088503986712003230092449997330331139625362369248432951964013027291978138942617<86>
697750708882795525763097607759634404119636066233661493021512854651497704755817469884947029848331<96>
factorization results 素因数分解の結果
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)
execution environment 実行環境
Core 2 Quad Q6600

11×10182+439

c165

name 名前Rich Dickerson
date 日付October 1, 2010 21:00:47 UTC 2010 年 10 月 2 日 (土) 6 時 0 分 47 秒 (日本時間)
composite number 合成数
116429556501430451511338131229733970888231391754607657542164808058708335523874866476610929520225932754654163349394471111154381304687841115229791168911161292107685643<165>
prime factors 素因数
84200960097566242590982528204479227<35>
1382758063168400251916520303711449568511486526913764338333042995730547415343875265159169960928665878996596525343874023930728533809<130>
factorization results 素因数分解の結果
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
software ソフトウェア
GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
execution environment 実行環境
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
date 日付May 24, 2012 03:21:50 UTC 2012 年 5 月 24 日 (木) 12 時 21 分 50 秒 (日本時間)
composite number 合成数
20736392343938747947190301977296870200912411816270869548141465029494139968754174430660347509316228968072728035572874283848738391485241669584731851941877<152>
prime factors 素因数
21975120710555839626873520610864710655912897<44>
943630418101773456319098780056209826795854656595104737297851767687528828360159750786474746381590261595052341<108>
factorization results 素因数分解の結果
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
date 日付February 29, 2012 04:12:09 UTC 2012 年 2 月 29 日 (水) 13 時 12 分 9 秒 (日本時間)
composite number 合成数
13615701446216060198745849551947364699767636197738966793441884854522548589389509755464276208174490612964270041643017444031605189526394244716929190477032980234231444846069823<173>
prime factors 素因数
4884393385364256167394551784716102649229<40>
2787593130195974624366845921413240903278616402854620963087212080268591363407366147530823634685165141745704392872992318661047547016187<133>
factorization results 素因数分解の結果
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
date 日付January 30, 2010 09:19:00 UTC 2010 年 1 月 30 日 (土) 18 時 19 分 0 秒 (日本時間)
composite number 合成数
32078518654571540845797512642206599349593095836079225190577270470910073536954138148253200950675967955631430085910975641067001<125>
prime factors 素因数
4310696886301911244904480034022931498351881081<46>
7441608514972916505581984098450054955452374957807987761170784033777003524040321<79>
factorization results 素因数分解の結果
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) ----------
execution environment 実行環境
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
date 日付May 26, 2012 14:03:09 UTC 2012 年 5 月 26 日 (土) 23 時 3 分 9 秒 (日本時間)
composite number 合成数
17755641084295362259041027948146799732690451699087465037686764730559622270392105199457534953037754443500448284903882414686769140387295646183<140>
prime factors 素因数
5556368747770156648376414623521081481074137723154611933586258817<64>
3195547648168767225376562283552381036700999008018659650483880168507396464999<76>
factorization results 素因数分解の結果
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
date 日付February 21, 2009 11:43:44 UTC 2009 年 2 月 21 日 (土) 20 時 43 分 44 秒 (日本時間)
composite number 合成数
92522499789721591386996383211371856337791235595929010009252249978972159138699638321137185633779123559592901000925224997897215913869963832113718563377912355959290100092522499789721591387<185>
prime factors 素因数
32500590808365891660494126460420756674718181<44>
543030414799904978254708147320654776932247308215000344723661626079893<69>
5242421637376962007933603554526722658769614576691122109338592923947287939<73>
factorization results 素因数分解の結果
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) ----------
software ソフトウェア
GGNFS, Msieve
execution environment 実行環境
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
date 日付September 29, 2020 03:51:36 UTC 2020 年 9 月 29 日 (火) 12 時 51 分 36 秒 (日本時間)
composite number 合成数
28181020038260695831236824795016623425821960850021973062635910823067047671943499580758143039375025130700617279927283537049749620832862119573572230978108511<155>
prime factors 素因数
36017389366778539266276700156242404897323427093749781686119545969387<68>
782428169662238278342012922366704571034004170357799489465095322534034070825585823113053<87>
factorization results 素因数分解の結果
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
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

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
date 日付March 7, 2020 07:36:24 UTC 2020 年 3 月 7 日 (土) 16 時 36 分 24 秒 (日本時間)
composite number 合成数
28912593789552500957677664130766885708798910977004569318532951083013586518924010954500784439891759433598235477486169657767065605580025818611146069008449345463309897899772550160707<179>
prime factors 素因数
22245736980052707312179114308867765430593030265684052251771517086981<68>
1299691433710549863542644543508720645218167813796632203678243271691734259341874088184612432032270090995330164647<112>
factorization results 素因数分解の結果
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
date 日付May 7, 2011 10:25:47 UTC 2011 年 5 月 7 日 (土) 19 時 25 分 47 秒 (日本時間)
composite number 合成数
3589226316010269059681018830007721984837214523215582227384325089871286371163106679189583897384898038294948828315383364247681736825979<133>
prime factors 素因数
2911603638748899078062843386048247617648166958011<49>
1232731773048800322781434160497829759804827559035853900921341193128650526494151233089<85>
factorization results 素因数分解の結果
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
date 日付June 10, 2012 18:04:04 UTC 2012 年 6 月 11 日 (月) 3 時 4 分 4 秒 (日本時間)
composite number 合成数
7491437589862158752764970817483965816084980373676026792658421413065214777641128603867447162973945999960635707588751546439656936936058708488229619308959890159410630587<166>
prime factors 素因数
5621215615536152865517400692707304962507057091<46>
1332707745484269895974510628985013245064273800058681915881739794384723197540126380319902016735780503492962544100220940457<121>
factorization results 素因数分解の結果
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
date 日付November 5, 2008 06:34:26 UTC 2008 年 11 月 5 日 (水) 15 時 34 分 26 秒 (日本時間)
composite number 合成数
96528121724718515231076472662050586383731989940860628197082415131614296614828590316213722485173427671816699673177103146057234359401202747436413777250720784452212715312846742303866761<182>
prime factors 素因数
6008741759849951709826487049587<31>
16064614786695207086436049790472937530349258514440848160108671782788638591989327765703152163679992909068260214239814718499452514400361031807712665514003<152>
factorization results 素因数分解の結果
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
software ソフトウェア
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
date 日付August 5, 2021 09:49:12 UTC 2021 年 8 月 5 日 (木) 18 時 49 分 12 秒 (日本時間)
composite number 合成数
115886089311405565525703733891960416256369000292382679591178847688610026885332058479340011680220309054994460937121187319820283373106393888000439520539<150>
prime factors 素因数
58252347521633465621106040192179432779208883259087<50>
1989380587080518411516404343666848815503209816928056151579646462337735497868150310753470711279249397<100>
factorization results 素因数分解の結果
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
 
software ソフトウェア
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
date 日付May 8, 2012 06:51:24 UTC 2012 年 5 月 8 日 (火) 15 時 51 分 24 秒 (日本時間)
composite number 合成数
407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407409<201>
prime factors 素因数
42819653378254423532478529651532516334809<41>
composite cofactor 合成数の残り
9514495687494415845265120482917468181841428646380836887865524893842139817207581693282928597653920762822918488566265500658361154721118685624788767879958508261401<160>
factorization results 素因数分解の結果
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
date 日付June 1, 2012 12:06:43 UTC 2012 年 6 月 1 日 (金) 21 時 6 分 43 秒 (日本時間)
composite number 合成数
9514495687494415845265120482917468181841428646380836887865524893842139817207581693282928597653920762822918488566265500658361154721118685624788767879958508261401<160>
prime factors 素因数
6400782907999646456438557684902248842276458576533<49>
1213930642585931648753600050677480458010190425920347<52>
1224500034460454146188880623799964077259089006404862168291951<61>
factorization results 素因数分解の結果
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
date 日付May 8, 2021 08:39:45 UTC 2021 年 5 月 8 日 (土) 17 時 39 分 45 秒 (日本時間)
composite number 合成数
78426321390651538286307734632677811203788921031560227568373439448994347479923093438124587669159247661432258698090411046823629534077851513492182710257242398070718197522436932814159641325917311863971<197>
prime factors 素因数
7193555653629378742653622832302565781959227236640081384793858235548315505466011190918534759<91>
10902302723004993022811841959045064465931308198002716700496568478662816122559323337625133252525880282618469<107>
factorization results 素因数分解の結果
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
date 日付July 3, 2012 05:32:21 UTC 2012 年 7 月 3 日 (火) 14 時 32 分 21 秒 (日本時間)
composite number 合成数
20336476243298206692549454612682566093547790719171750785727491218339804030319837308190053614346459604363098539471251617674246625993714180070253281567757441301534479571085228323165095211684229987058606027<203>
prime factors 素因数
103654394525632745408220386551695031898723603<45>
196195022279245378603851004080194882339184670639648583314328432631516379213419230542500240807496045817230362680490383023768461473657525080177099676627792591209<159>
factorization results 素因数分解の結果
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
date 日付June 12, 2012 14:03:22 UTC 2012 年 6 月 12 日 (火) 23 時 3 分 22 秒 (日本時間)
composite number 合成数
139001690154504683913783662203149704495920161554543430129196270985235374350347515294913399512309584845630161932385925877575355471817108093175914715586760464389571862919391697<174>
prime factors 素因数
2228135616012949906737242249709243373497213677767<49>
1339880863946461351516773976551876788059313393102457709<55>
46559925380753674540845604927912038017954170155270463416187212888982499<71>
factorization results 素因数分解の結果
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
date 日付May 17, 2012 07:52:02 UTC 2012 年 5 月 17 日 (木) 16 時 52 分 2 秒 (日本時間)
composite number 合成数
295334348359045610243334313068494685068044598153992061395201026099361374342334092819351392540993535103156215839245278668828557812549877889501834554179857713192373267958874441374925054845309635293<195>
prime factors 素因数
2139402933574064545653236638092945605419723<43>
composite cofactor 合成数の残り
138045219871538216601191587209783018962186126422018614587202791595895887408778051790230017157856267437969600538520804448198200661419721132382278971673591<153>
factorization results 素因数分解の結果
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
date 日付June 1, 2012 05:41:05 UTC 2012 年 6 月 1 日 (金) 14 時 41 分 5 秒 (日本時間)
composite number 合成数
138045219871538216601191587209783018962186126422018614587202791595895887408778051790230017157856267437969600538520804448198200661419721132382278971673591<153>
prime factors 素因数
28965534565064530909909202624084470389563<41>
4765844026163260016799829234014022325001590457699373237092773046422971263947916210009852342191950845619114749557<112>
factorization results 素因数分解の結果
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
date 日付June 1, 2012 09:43:44 UTC 2012 年 6 月 1 日 (金) 18 時 43 分 44 秒 (日本時間)
composite number 合成数
72943069360416497151557501091951165038992763322190971859184565668388662234962108364474894753139244172222579738336643544899934446036563924719086823178486250126862729537390550345163481<182>
prime factors 素因数
220718444644300686108698341898315301095059<42>
330480171142779060815347636415447959037815916818886892042345276793376241264893106884699177732166443463269036469233014430865738957727183145059<141>
factorization results 素因数分解の結果
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
date 日付May 16, 2012 06:26:21 UTC 2012 年 5 月 16 日 (水) 15 時 26 分 21 秒 (日本時間)
composite number 合成数
11917113199963412842714053410730491763894123644747647935650733534983325208325010520390184102767974215050741914612122388796544605721484743381556939129460937124657635885962858499965153836431603<191>
prime factors 素因数
78546212389049543526813047823514336123874833<44>
composite cofactor 合成数の残り
151721042141871980459177249933621431879008481578302345626199657241726105652714660465922774938511218012278689314504031397294572546268465575416234691<147>
factorization results 素因数分解の結果
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
date 日付November 3, 2021 08:24:27 UTC 2021 年 11 月 3 日 (水) 17 時 24 分 27 秒 (日本時間)
composite number 合成数
151721042141871980459177249933621431879008481578302345626199657241726105652714660465922774938511218012278689314504031397294572546268465575416234691<147>
prime factors 素因数
102667562359161161184190348730170999888716250654761818685306834077<66>
1477789465879275480489272994056140211282996636411053865061406423646093810195381983<82>
factorization results 素因数分解の結果
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
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

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
date 日付May 12, 2012 06:25:08 UTC 2012 年 5 月 12 日 (土) 15 時 25 分 8 秒 (日本時間)
composite number 合成数
502891041361217305886707293581240050454958901303825369028066978229015849850664893333111893586327334590667563592339356030955058185451199614875384467469102714970538952911400403450256361081518120861<195>
prime factors 素因数
753637930081011807701097770784223957<36>
667284675158480104764470931934961824999909202965638263275590232256040846224970599064108194589741822049561196120161413086257329969028358693755342912196000796073<159>
factorization results 素因数分解の結果
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
date 日付May 11, 2020 12:13:41 UTC 2020 年 5 月 11 日 (月) 21 時 13 分 41 秒 (日本時間)
composite number 合成数
1884264080058172151616670067486912777033657996828283448159839632002718973589954244276542474517848941528645236564742828989106839972356024779390620394049338248159217082707684700932706641510408389<193>
prime factors 素因数
381161458457025198356128409818155364537307237399861004723688674114505233486742845496691<87>
4943480087640123320111163106605858980856635674967915492050925301845576852370385456977453412606367853787879<106>
factorization results 素因数分解の結果
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
software ソフトウェア
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
date 日付May 5, 2012 17:20:05 UTC 2012 年 5 月 6 日 (日) 2 時 20 分 5 秒 (日本時間)
composite number 合成数
71352724409183225363688079619261862552598309459360407151618701419335420724852867438962609226426195012185099345695517167789823414980309891368720392673502257665066419656507984694191953099205584712873393671791738262639<215>
prime factors 素因数
1733851830199289226929485727026740098651<40>
composite cofactor 合成数の残り
41152723183377169532663998520447368304500368447325780442275832680582744865606857562872896117387925553410986310134413299295260014578561203179906197232784195145294086226259377789<176>
factorization results 素因数分解の結果
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
date 日付November 16, 2018 08:21:07 UTC 2018 年 11 月 16 日 (金) 17 時 21 分 7 秒 (日本時間)
composite number 合成数
41152723183377169532663998520447368304500368447325780442275832680582744865606857562872896117387925553410986310134413299295260014578561203179906197232784195145294086226259377789<176>
prime factors 素因数
21226914213395009056608441820864462850400336998160706061<56>
234425991555405648941789499876277491294041366110316567975321<60>
8270008435253736221329745028039255963772624318125633766471769<61>
factorization results 素因数分解の結果
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
software ソフトウェア
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
date 日付May 13, 2020 16:16:49 UTC 2020 年 5 月 14 日 (木) 1 時 16 分 49 秒 (日本時間)
composite number 合成数
7041169540589069750857431846303788030677182392065831992644501926245160685899315321249976696835505102693595216311998889664171437378647325159113200940280047005500906013<166>
prime factors 素因数
6668960742383393865595261244264865305924517556498412808635177900445779<70>
1055812114148486295448601767884611538845917470828351904206890292203423388332421892185858997853647<97>
factorization results 素因数分解の結果
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
software ソフトウェア
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
date 日付November 4, 2012 13:12:42 UTC 2012 年 11 月 4 日 (日) 22 時 12 分 42 秒 (日本時間)
composite number 合成数
12222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227<224>
prime factors 素因数
165882247951138415040705782477938305575526036511743734603310015877338520896986040851<84>
73680109675282126396859148682084579961499439856671576393471928163947476279343030236411087198845078788003882722068000999739930640760767131777<140>
factorization results 素因数分解の結果
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
date 日付May 20, 2012 20:44:01 UTC 2012 年 5 月 21 日 (月) 5 時 44 分 1 秒 (日本時間)
composite number 合成数
35611169065051385476327211517618109532982729719323481153774554228854977279054362110353230973689681611641599365846660902383851476976312483061830704871325952387614444463836344689867880717462625989038305908314130900694231<218>
prime factors 素因数
302725712612390295571242668088637915035481<42>
117635098643397666361900000096516407952448716941156062032925985795390162167451911498823589150267062629360769276350483264888473165973545963361545238875700101346355622610009208751<177>
factorization results 素因数分解の結果
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
date 日付May 13, 2012 12:51:47 UTC 2012 年 5 月 13 日 (日) 21 時 51 分 47 秒 (日本時間)
composite number 合成数
57025805487622206568113146235057792979515662425230428829038587743585846877595894610658022402944428001964944515429263676471935956732834346509262004025451229066301809255292835807893286963605366711651777049363<206>
prime factors 素因数
19134933843059589627043314994506451<35>
composite cofactor 合成数の残り
2980193501338180610340534689586820115264538755171796433184206365401834896190942988936452713575959534851520179735626707049646230270862234003077977036019987903296167397240513<172>
factorization results 素因数分解の結果
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
date 日付June 1, 2012 13:37:25 UTC 2012 年 6 月 1 日 (金) 22 時 37 分 25 秒 (日本時間)
composite number 合成数
125080235820620700994710131570244252552854113425374643332521808070898321753130059023403691584002457680692115491947355113893821549341894118907028003945025211678435016831243800582532492588889699<192>
prime factors 素因数
24224483053021830442854673145101023895483<41>
composite cofactor 合成数の残り
5163381011964168170957069768685462030903901355307702254491065040687544959646660066147962104705178812246638232205549799269076533053613348727948779877753<151>
factorization results 素因数分解の結果
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
date 日付May 13, 2012 12:53:00 UTC 2012 年 5 月 13 日 (日) 21 時 53 分 0 秒 (日本時間)
composite number 合成数
319118073687264287786480997969248621990136350449666376559326950971859588047577603713373948360893530606324340005802146794313896141572381781259065854366115462721206846533217290397447055410501885697708152016246011024078909196402669<228>
prime factors 素因数
962710285888120793129143662863725750649658097391<48>
composite cofactor 合成数の残り
331478824278761134729657132941552785402179112901927238905394674413566016534771955032492589108428539912668207640938000128591575913041085428222565491421400669905001261441021477842659<180>
factorization results 素因数分解の結果
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
date 日付May 12, 2012 06:24:34 UTC 2012 年 5 月 12 日 (土) 15 時 24 分 34 秒 (日本時間)
composite number 合成数
39362074841446142843868483587991243312918711402615164242925486032428010461932595671764012043517756112973759464370883114696544528816781010022630443552244515645039730081539892732668475149936042600136433199340547936531<215>
prime factors 素因数
15728884519033726252083457756711542643<38>
composite cofactor 合成数の残り
2502534416462501700263855843915254461109872153749344805583582659782228711807784664897935951476420623423652451217351727132040193232587720795494772355982682522623619449844873781217<178>
factorization results 素因数分解の結果
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
date 日付May 6, 2012 06:24:05 UTC 2012 年 5 月 6 日 (日) 15 時 24 分 5 秒 (日本時間)
composite number 合成数
12222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227<233>
prime factors 素因数
19317369138072628404706142930177603635319<41>
composite cofactor 合成数の残り
632706355345947614876810460388280087578001243314345356565428524419006563533219920690827491600475945146011647577719211239455872632636934649586682725527400787690811430676319610028017548627419333<192>
factorization results 素因数分解の結果
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
date 日付May 5, 2012 06:45:08 UTC 2012 年 5 月 5 日 (土) 15 時 45 分 8 秒 (日本時間)
composite number 合成数
72607823283123619836491839119159880760708366480878755265001759552180766887257725360775029873441689459353551064446062313391421158990848763730103028098139364304778452636142884989899419030320063346087935293552516416811<215>
prime factors 素因数
181069371355895188535807396741<30>
composite cofactor 合成数の残り
400994506908689731950306412004104155944361731594459334896670928173295962686679437843125671241509876106719973380625666992324111038030882384593216637468177256418855573184470039576345900271<186>
factorization results 素因数分解の結果
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
date 日付November 16, 2015 07:26:39 UTC 2015 年 11 月 16 日 (月) 16 時 26 分 39 秒 (日本時間)
composite number 合成数
487108367676577203317733549272056985493002228545220431340769948524278939213879933119180572069563105584209554537644371468084909280741544741520169237040199279477401328851949753368520647198175330285838862051<204>
prime factors 素因数
35362596653920799702873887308655895135191<41>
composite cofactor 合成数の残り
13774677590667523888211436749873643415743557954089545552163776043376657187084854948664653101155157747805019334608792083756569051263267370316183684536098297771029461<164>
factorization results 素因数分解の結果
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
date 日付November 16, 2015 07:26:07 UTC 2015 年 11 月 16 日 (月) 16 時 26 分 7 秒 (日本時間)
composite number 合成数
119728130905728558382232975600356446095662233326684930515610545203944514928937207254718826074553938321805001858299019088389222757427790105309107950271699247738094511335282280773303022580392092993637325242931232933163618619<222>
prime factors 素因数
851947805128417555350698664870017<33>
composite cofactor 合成数の残り
140534584613057898052801683158411979876525116650099978200648755272037976703446116957781014011670962033081180476539702470493518243102940391007538471397997791384712772467524305872131345560507<189>
factorization results 素因数分解の結果
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
date 日付November 19, 2015 09:29:17 UTC 2015 年 11 月 19 日 (木) 18 時 29 分 17 秒 (日本時間)
composite number 合成数
140534584613057898052801683158411979876525116650099978200648755272037976703446116957781014011670962033081180476539702470493518243102940391007538471397997791384712772467524305872131345560507<189>
prime factors 素因数
1351053163725684232239242082954982979<37>
composite cofactor 合成数の残り
104018545225502188415505191573346366381905533730933994504510795363877449939631648349579888371534560567858449406183808865936590598555508440626359269441833<153>
factorization results 素因数分解の結果
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
date 日付November 15, 2021 02:40:49 UTC 2021 年 11 月 15 日 (月) 11 時 40 分 49 秒 (日本時間)
composite number 合成数
104018545225502188415505191573346366381905533730933994504510795363877449939631648349579888371534560567858449406183808865936590598555508440626359269441833<153>
prime factors 素因数
40315988099240586215703985137665270195142280019796342480514799<62>
2580081752416767333625170470371684759394701435149478259309476845707989748359988487198609767<91>
factorization results 素因数分解の結果
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
date 日付November 23, 2015 16:33:06 UTC 2015 年 11 月 24 日 (火) 1 時 33 分 6 秒 (日本時間)
composite number 合成数
98621172522447652308565245522331584711922244663550917759757287606738650054955310123262943867320730944794932511283087561278841688970882998874279845056610104260829441425607577967475972104147413725777392620108122296581798242351727<227>
prime factors 素因数
64722459052233727327625136436379668161649<41>
1523755029808991768489900203034502116294716378630404942041082035529430043710207766895052375619820109491469880169929444702890662240476409983538860349998562595132526995403750373186676096223<187>
factorization results 素因数分解の結果
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
date 日付November 16, 2015 12:22:02 UTC 2015 年 11 月 16 日 (月) 21 時 22 分 2 秒 (日本時間)
composite number 合成数
116431845779604268347212155883509626032307443500229245130117067251333246674453374524115122585076365816901344313320504222230924741770344954597931740506646658938165090728623335666449199457747193599742485673088164734693630312646898377814653<237>
prime factors 素因数
83169565050074884265559290547658372834021<41>
1399933325483940779227404601326077684252726721197417410898924407622189256082173829462538879833377664338893544844703769866552918562011844730831060808420389449644357591151473746904974513722094116793<196>
factorization results 素因数分解の結果
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
date 日付July 21, 2022 10:42:34 UTC 2022 年 7 月 21 日 (木) 19 時 42 分 34 秒 (日本時間)
composite number 合成数
2217888154784067111901190451693537568115591896849992406647425891313746720148102107202658390395180741657511787484873359206325675291347960885094874992943551724340607296511673182899333022610873276587769462151307<208>
prime factors 素因数
35580599775358911850459370801683397056229419<44>
composite cofactor 合成数の残り
62334198096347144263830204344883860549601661794643403077764941673279107770161488758656448380313575925219499038233735822921583035221027276544426953073253603507185953<164>
factorization results 素因数分解の結果
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
date 日付November 16, 2015 07:29:00 UTC 2015 年 11 月 16 日 (月) 16 時 29 分 0 秒 (日本時間)
composite number 合成数
43377034689192754872681001283073310131025247641866897551316928603600099703746960889126608032922168840113859702396838356680392443157502033763552416846053530322748848242997245994310316105700042602215932649798167366250364274958363367726552389774585299858297341<257>
prime factors 素因数
3361028608143402005752664914679491<34>
composite cofactor 合成数の残り
12905880831866464635396069400821794157492054842666716537867772965292100561883763438816119414774512178192066417902857202340279046124729637341076043737605146174464731378302807283396171445505241503947480517059698002609177356351<224>
factorization results 素因数分解の結果
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
date 日付November 16, 2015 11:08:08 UTC 2015 年 11 月 16 日 (月) 20 時 8 分 8 秒 (日本時間)
composite number 合成数
863020856451655158190797484784450866995337481251620218734050682264895264610016276703656871508683930302695372174170038307922084470700846147905211039755489898811966263497837750605762150549516534506478260843533123093252863489961332832314873<237>
prime factors 素因数
982867633691769227156434128536627<33>
composite cofactor 合成数の残り
878064173514438422335310883356241836038821182547487418289302305812047672294372585571753173773420253910553694397861939372433940392810390959379227910391015894956949224580557675977809650446422001699724894499<204>
factorization results 素因数分解の結果
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
date 日付November 19, 2015 09:28:34 UTC 2015 年 11 月 19 日 (木) 18 時 28 分 34 秒 (日本時間)
composite number 合成数
878064173514438422335310883356241836038821182547487418289302305812047672294372585571753173773420253910553694397861939372433940392810390959379227910391015894956949224580557675977809650446422001699724894499<204>
prime factors 素因数
35600893774938935297234090804920676321<38>
composite cofactor 合成数の残り
24664104757183010598763977545107134253117632167432545645538802952391957776952244342243878413282050734572514886408801780943457956722228350414081230767658087328410796419<167>
factorization results 素因数分解の結果
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)
5043e6600 / 6927Dmitry DomanovFebruary 12, 2016 23:46:37 UTC 2016 年 2 月 13 日 (土) 8 時 46 分 37 秒 (日本時間)
5511e7120 / 17463Dmitry 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
date 日付November 16, 2015 07:29:41 UTC 2015 年 11 月 16 日 (月) 16 時 29 分 41 秒 (日本時間)
composite number 合成数
223566986480908992069215500579595331700734504749244741516824005682071782694105315532531417914493661816274488585581094678256518782897146218219416578323161322740138241029302845706815238050124135515459353261040361321314347288935742699876998808348625765425615015052011633021<270>
prime factors 素因数
69628643261214561542817728850671<32>
composite cofactor 合成数の残り
3210847950062573424172079141574252564525946516350499510992771543955493207499044759043797754026167810489447969045081140817194259075537331274673794291347364402510907170685651076534823087605681014265301390272386930128515658768493848133472851<238>
factorization results 素因数分解の結果
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
date 日付November 16, 2015 00:06:35 UTC 2015 年 11 月 16 日 (月) 9 時 6 分 35 秒 (日本時間)
composite number 合成数
580658103107232533326596708718062141153298588467565413631792493706635038871398535295250749437901993061025585005653153611047023476404925595328327110125547573844572999465701197663926045955690932192773581556899093337084860327112887610112155151039461327027718901<258>
prime factors 素因数
2621950587330035584500939145923679<34>
composite cofactor 合成数の残り
221460353186336663872056284047475282383648396440667407323358147454839778948562380431957226274832931324122020691600656309841321537821458071045590910471347521846244453465596302663219038264251374419738573682739714588141729311019<225>
factorization results 素因数分解の結果
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
date 日付November 16, 2015 15:45:25 UTC 2015 年 11 月 17 日 (火) 0 時 45 分 25 秒 (日本時間)
composite number 合成数
42279254052140892059513699101879612922190099293582666301264822371055853160260585919790047630207634901965762357887023489332348967833518582407916943639651696301772562145840296444697508685408689378566952884499663501897719073506181828967131446707765343764463049498338258142502406211719<281>
prime factors 素因数
44555300920175281504108016389093<32>
composite cofactor 合成数の残り
948916361891211856556095293998904791628901223793951517924173599746784736044372786448486628493810901515179747530553805212060600129550909466700309208098419256332225093011950707877692608918794971232907320312051882621364807318146667893210673582964569083<249>
factorization results 素因数分解の結果
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
date 日付November 19, 2015 06:21:53 UTC 2015 年 11 月 19 日 (木) 15 時 21 分 53 秒 (日本時間)
composite number 合成数
28950143240264401759503535608955159780736943494193495594708353935331865012501957227260667623831136935711109606553042221647489938703059779192345371496107411804819369212282034724387914791046927556993126185506760982548990147148867960534610662985450115391<251>
prime factors 素因数
8055413996608870807653973360936901605119034393<46>
3593874039552987956751349074677196514249830572596485044491991751109071669464509541786557558653663105758007842701081657689686783014001358879141083962523121737182925358954849700939487784636170092669436062487<205>
factorization results 素因数分解の結果
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)