Table of contents 目次

77×10104+139

c95

name 名前Sinkiti Sibata
date 日付February 15, 2010 07:41:54 UTC 2010 年 2 月 15 日 (月) 16 時 41 分 54 秒 (日本時間)
composite number 合成数
39610322273412951955339882599916152914051739664775142616502496235469835934730196330975131217517<95>
prime factors 素因数
39152522733183481023022940028473<32>
1011692721394973247376454582789173893677914046989061248386396629<64>
factorization results 素因数分解の結果
Number: 85557_104
N=39610322273412951955339882599916152914051739664775142616502496235469835934730196330975131217517
  ( 95 digits)
SNFS difficulty: 105 digits.
Divisors found:
 r1=39152522733183481023022940028473 (pp32)
 r2=1011692721394973247376454582789173893677914046989061248386396629 (pp64)
Version: Msieve-1.40
Total time: 0.32 hours.
Scaled time: 0.96 units (timescale=2.996).
Factorization parameters were as follows:
name: 85557_104
n: 39610322273412951955339882599916152914051739664775142616502496235469835934730196330975131217517
m: 100000000000000000000000000
deg: 4
c4: 77
c0: 13
skew: 0.64
type: snfs
lss: 1
rlim: 410000
alim: 410000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 410000/410000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [205000, 265001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 39499 x 39733
Total sieving time: 0.31 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,105.000,4,0,0,0,0,0,0,0,0,410000,410000,25,25,44,44,2.2,2.2,20000
total time: 0.32 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
3025e40--
351e6118 / 904Makoto KamadaFebruary 15, 2010 04:00:00 UTC 2010 年 2 月 15 日 (月) 13 時 0 分 0 秒 (日本時間)

77×10112+139

c107

name 名前Robert Backstrom
date 日付February 15, 2010 11:41:55 UTC 2010 年 2 月 15 日 (月) 20 時 41 分 55 秒 (日本時間)
composite number 合成数
15781957783016977840758037356549945971389852049474756973734579566902496256857798678008934268781211255421743<107>
prime factors 素因数
48889679915208946100860657289133831740627<41>
322807549781225203218900391657616471541362296231631580767548784309<66>
factorization results 素因数分解の結果
Number: n
N=15781957783016977840758037356549945971389852049474756973734579566902496256857798678008934268781211255421743
  ( 107 digits)
SNFS difficulty: 113 digits.
Divisors found:
 r1=48889679915208946100860657289133831740627 (pp41)
 r2=322807549781225203218900391657616471541362296231631580767548784309 (pp66)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 0.89 hours.
Scaled time: 1.62 units (timescale=1.823).
Factorization parameters were as follows:
name: KA_8_5_111_7
n: 15781957783016977840758037356549945971389852049474756973734579566902496256857798678008934268781211255421743
m: 10000000000000000000000
deg: 5
c5: 7700
c0: 13
skew: 0.28
type: snfs
lss: 1
rlim: 550000
alim: 550000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
qintsize: 20000
Factor base limits: 550000/550000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [275000, 475001)
Primes: RFBsize:45322, AFBsize:45350, largePrimes:1183744 encountered
Relations: rels:1131514, finalFF:119353
Max relations in full relation-set: 48
Initial matrix: 90740 x 119353 with sparse part having weight 5925359.
Pruned matrix : 79668 x 80185 with weight 2926172.
Total sieving time: 0.83 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Total square root time: 0.02 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,113,5,0,0,0,0,0,0,0,0,550000,550000,25,25,45,45,2.2,2.2,50000
total time: 0.89 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
3025e40--
351e6118 / 904Makoto KamadaFebruary 15, 2010 04:00:00 UTC 2010 年 2 月 15 日 (月) 13 時 0 分 0 秒 (日本時間)

77×10117+139

c116

name 名前Sinkiti Sibata
date 日付February 15, 2010 11:58:45 UTC 2010 年 2 月 15 日 (月) 20 時 58 分 45 秒 (日本時間)
composite number 合成数
13821576018668102674564710105905582480703643870041285227068748878118829653563094597020283611559863579249685873272303<116>
prime factors 素因数
1368930843571061943952119823505863<34>
10096621084679809943181693088443774319322641548151796985644952462613654214775689881<83>
factorization results 素因数分解の結果
Number: 85557_117
N=13821576018668102674564710105905582480703643870041285227068748878118829653563094597020283611559863579249685873272303
  ( 116 digits)
SNFS difficulty: 118 digits.
Divisors found:
 r1=1368930843571061943952119823505863 (pp34)
 r2=10096621084679809943181693088443774319322641548151796985644952462613654214775689881 (pp83)
Version: Msieve-1.40
Total time: 1.45 hours.
Scaled time: 4.65 units (timescale=3.205).
Factorization parameters were as follows:
name: 85557_117
n: 13821576018668102674564710105905582480703643870041285227068748878118829653563094597020283611559863579249685873272303
m: 100000000000000000000000
deg: 5
c5: 7700
c0: 13
skew: 0.28
type: snfs
lss: 1
rlim: 670000
alim: 670000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 670000/670000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [335000, 635001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 79505 x 79739
Total sieving time: 1.42 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,118.000,5,0,0,0,0,0,0,0,0,670000,670000,25,25,45,45,2.2,2.2,50000
total time: 1.45 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
3025e40--
351e6118 / 904Makoto KamadaFebruary 15, 2010 04:00:00 UTC 2010 年 2 月 15 日 (月) 13 時 0 分 0 秒 (日本時間)

77×10132+139

c131

name 名前Sinkiti Sibata
date 日付February 16, 2010 09:19:55 UTC 2010 年 2 月 16 日 (火) 18 時 19 分 55 秒 (日本時間)
composite number 合成数
75712881022615535889872173058013765978367748279252704031465093411996066863323500491642084562438544739429695181907571288102261553589<131>
prime factors 素因数
138982761589020035091135765487824375056504705297427763<54>
544764546026958723842493679370485281472676284673433492492164806460485230538103<78>
factorization results 素因数分解の結果
Number: 85557_132
N=75712881022615535889872173058013765978367748279252704031465093411996066863323500491642084562438544739429695181907571288102261553589
  ( 131 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=138982761589020035091135765487824375056504705297427763 (pp54)
 r2=544764546026958723842493679370485281472676284673433492492164806460485230538103 (pp78)
Version: Msieve-1.40
Total time: 4.17 hours.
Scaled time: 13.57 units (timescale=3.254).
Factorization parameters were as follows:
name: 85557_132
n: 75712881022615535889872173058013765978367748279252704031465093411996066863323500491642084562438544739429695181907571288102261553589
m: 100000000000000000000000000
deg: 5
c5: 7700
c0: 13
skew: 0.28
type: snfs
lss: 1
rlim: 1190000
alim: 1190000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1190000/1190000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [595000, 1270001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 181277 x 181525
Total sieving time: 4.06 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,133.000,5,0,0,0,0,0,0,0,0,1190000,1190000,26,26,47,47,2.3,2.3,75000
total time: 4.17 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
3025e40--
351e6118 / 904Makoto KamadaFebruary 15, 2010 04:00:00 UTC 2010 年 2 月 15 日 (月) 13 時 0 分 0 秒 (日本時間)

77×10138+139

c117

name 名前Markus Tervooren
date 日付February 16, 2010 04:14:38 UTC 2010 年 2 月 16 日 (火) 13 時 14 分 38 秒 (日本時間)
composite number 合成数
880710332961733163108478187603269274975000581543028224025255823424382728904886606995679432430707279072477115142311527<117>
prime factors 素因数
78073731382434537186645628386809079158087<41>
11280494954797053260262099241782967546051039453553658013662648711396052209121<77>
factorization results 素因数分解の結果
N=880710332961733163108478187603269274975000581543028224025255823424382728904886606995679432430707279072477115142311527
  ( 117 digits)
SNFS difficulty: 139 digits.
Divisors found:
 r1=78073731382434537186645628386809079158087 (pp41)
 r2=11280494954797053260262099241782967546051039453553658013662648711396052209121 (pp77)
Version: Msieve-1.39
Total time: 2.78 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 880710332961733163108478187603269274975000581543028224025255823424382728904886606995679432430707279072477115142311527
m: 1000000000000000000000000000
deg: 5
c5: 77000
c0: 13
skew: 0.18
type: snfs
lss: 1
rlim: 1500000
alim: 1500000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5

Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [750000, 1650001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 244344 x 244577
Total sieving time: 2.67 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,139,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,48,48,2.5,2.5,450000
total time: 2.78 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
3025e40--
351e6118 / 904Makoto KamadaFebruary 15, 2010 04:00:00 UTC 2010 年 2 月 15 日 (月) 13 時 0 分 0 秒 (日本時間)

77×10140+139

c119

name 名前Jo Yeong Uk
date 日付February 16, 2010 02:37:13 UTC 2010 年 2 月 16 日 (火) 11 時 37 分 13 秒 (日本時間)
composite number 合成数
19748618533394398139195482900463268059039180357484053138495712563958379018483257007126795263373137970502942716250690789<119>
prime factors 素因数
13178399932959464012591302658283627661<38>
1733659008072649430087152805608464828923<40>
864391240618796349873507772327714795539163<42>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 19748618533394398139195482900463268059039180357484053138495712563958379018483257007126795263373137970502942716250690789 (119 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=5799085554
Step 1 took 4181ms
Step 2 took 4134ms
********** Factor found in step 2: 13178399932959464012591302658283627661
Found probable prime factor of 38 digits: 13178399932959464012591302658283627661
Composite cofactor 1498559660797869317079008933921656501062419652060413217677623359361487738341611449 has 82 digits

02/16/10 11:25:57 v1.10 @ 조영욱-PC, starting SIQS on c82: 1498559660797869317079008933921656501062419652060413217677623359361487738341611449
02/16/10 11:25:57 v1.10 @ 조영욱-PC, random seeds: 3690620420, 166773568
02/16/10 11:25:57 v1.10 @ 조영욱-PC, ==== sieve params ====
02/16/10 11:25:57 v1.10 @ 조영욱-PC, n = 82 digits, 270 bits
02/16/10 11:25:57 v1.10 @ 조영욱-PC, factor base: 46705 primes (max prime = 1195589)
02/16/10 11:25:57 v1.10 @ 조영욱-PC, single large prime cutoff: 113580955 (95 * pmax)
02/16/10 11:25:57 v1.10 @ 조영욱-PC, double large prime range from 42 to 49 bits
02/16/10 11:25:57 v1.10 @ 조영욱-PC, double large prime cutoff: 315900220261671
02/16/10 11:25:57 v1.10 @ 조영욱-PC, using 14 large prime slices of factor base
02/16/10 11:25:57 v1.10 @ 조영욱-PC, buckets hold 1024 elements
02/16/10 11:25:57 v1.10 @ 조영욱-PC, sieve interval: 7 blocks of size 65536
02/16/10 11:25:57 v1.10 @ 조영욱-PC, polynomial A has ~ 10 factors
02/16/10 11:25:57 v1.10 @ 조영욱-PC, using multiplier of 1
02/16/10 11:25:57 v1.10 @ 조영욱-PC, using small prime variation correction of 17 bits
02/16/10 11:25:57 v1.10 @ 조영욱-PC, using SSE2 for trial division and x128 sieve scanning
02/16/10 11:25:57 v1.10 @ 조영욱-PC, trial factoring cutoff at 93 bits
02/16/10 11:25:57 v1.10 @ 조영욱-PC, ==== sieving started ====
02/16/10 11:36:05 v1.10 @ 조영욱-PC, sieve time = 280.1750, relation time = 120.4790, poly_time = 207.3900
02/16/10 11:36:05 v1.10 @ 조영욱-PC, 46889 relations found: 20540 full + 26349 from 268564 partial, using 148975 polys (287 A polys)
02/16/10 11:36:05 v1.10 @ 조영욱-PC, on average, sieving found 1.94 rels/poly and 475.15 rels/sec
02/16/10 11:36:05 v1.10 @ 조영욱-PC, trial division touched 5459825 sieve locations out of 136685158400
02/16/10 11:36:05 v1.10 @ 조영욱-PC, ==== post processing stage (msieve-1.38) ====
02/16/10 11:36:05 v1.10 @ 조영욱-PC, begin with 289104 relations
02/16/10 11:36:05 v1.10 @ 조영욱-PC, reduce to 74309 relations in 6 passes
02/16/10 11:36:06 v1.10 @ 조영욱-PC, recovered 74309 relations
02/16/10 11:36:06 v1.10 @ 조영욱-PC, recovered 58536 polynomials
02/16/10 11:36:06 v1.10 @ 조영욱-PC, attempting to build 46889 cycles
02/16/10 11:36:06 v1.10 @ 조영욱-PC, found 46889 cycles in 3 passes
02/16/10 11:36:06 v1.10 @ 조영욱-PC, distribution of cycle lengths:
02/16/10 11:36:06 v1.10 @ 조영욱-PC,    length 1 : 20540
02/16/10 11:36:06 v1.10 @ 조영욱-PC,    length 2 : 20200
02/16/10 11:36:06 v1.10 @ 조영욱-PC,    length 3 : 4705
02/16/10 11:36:06 v1.10 @ 조영욱-PC,    length 4 : 1121
02/16/10 11:36:06 v1.10 @ 조영욱-PC,    length 5 : 241
02/16/10 11:36:06 v1.10 @ 조영욱-PC,    length 6 : 69
02/16/10 11:36:06 v1.10 @ 조영욱-PC,    length 7 : 10
02/16/10 11:36:06 v1.10 @ 조영욱-PC,    length 9+: 3
02/16/10 11:36:06 v1.10 @ 조영욱-PC, largest cycle: 9 relations
02/16/10 11:36:06 v1.10 @ 조영욱-PC, matrix is 46705 x 46889 (7.5 MB) with weight 1580386 (33.70/col)
02/16/10 11:36:06 v1.10 @ 조영욱-PC, sparse part has weight 1580386 (33.70/col)
02/16/10 11:36:06 v1.10 @ 조영욱-PC, filtering completed in 4 passes
02/16/10 11:36:06 v1.10 @ 조영욱-PC, matrix is 36465 x 36529 (6.1 MB) with weight 1308812 (35.83/col)
02/16/10 11:36:06 v1.10 @ 조영욱-PC, sparse part has weight 1308812 (35.83/col)
02/16/10 11:36:06 v1.10 @ 조영욱-PC, saving the first 48 matrix rows for later
02/16/10 11:36:06 v1.10 @ 조영욱-PC, matrix is 36417 x 36529 (4.2 MB) with weight 981204 (26.86/col)
02/16/10 11:36:06 v1.10 @ 조영욱-PC, sparse part has weight 731070 (20.01/col)
02/16/10 11:36:06 v1.10 @ 조영욱-PC, matrix includes 64 packed rows
02/16/10 11:36:06 v1.10 @ 조영욱-PC, using block size 14611 for processor cache size 4096 kB
02/16/10 11:36:06 v1.10 @ 조영욱-PC, commencing Lanczos iteration
02/16/10 11:36:06 v1.10 @ 조영욱-PC, memory use: 4.1 MB
02/16/10 11:36:10 v1.10 @ 조영욱-PC, lanczos halted after 578 iterations (dim = 36415)
02/16/10 11:36:10 v1.10 @ 조영욱-PC, recovered 15 nontrivial dependencies
02/16/10 11:36:11 v1.10 @ 조영욱-PC, prp42 = 864391240618796349873507772327714795539163
02/16/10 11:36:11 v1.10 @ 조영욱-PC, prp40 = 1733659008072649430087152805608464828923
02/16/10 11:36:11 v1.10 @ 조영욱-PC, Lanczos elapsed time = 5.1170 seconds.
02/16/10 11:36:11 v1.10 @ 조영욱-PC, Sqrt elapsed time = 1.0920 seconds.
02/16/10 11:36:11 v1.10 @ 조영욱-PC, SIQS elapsed time = 614.6550 seconds.
02/16/10 11:36:11 v1.10 @ 조영욱-PC, 
02/16/10 11:36:11 v1.10 @ 조영욱-PC, 
software ソフトウェア
GMP-ECM v6.2.3 / YAFU v1.10
execution environment 実行環境
Core 2 Quad Q6600

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 15, 2010 04:00:00 UTC 2010 年 2 月 15 日 (月) 13 時 0 分 0 秒 (日本時間)

77×10145+139

c140

name 名前Sinkiti Sibata
date 日付February 16, 2010 23:45:52 UTC 2010 年 2 月 17 日 (水) 8 時 45 分 52 秒 (日本時間)
composite number 合成数
14544380012840987558869558652299614757151070265203169594403141238528757762047558573759962687809737447307552871985221549912978329950442763983<140>
prime factors 素因数
5761628911521508199352687638391449919827<40>
322273143859128942636163135686375160181610953<45>
7832958293305229086037139299739943266524295297691142893<55>
factorization results 素因数分解の結果
Number: 85557_145
N=14544380012840987558869558652299614757151070265203169594403141238528757762047558573759962687809737447307552871985221549912978329950442763983
  ( 140 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=5761628911521508199352687638391449919827 (pp40)
 r2=322273143859128942636163135686375160181610953 (pp45)
 r3=7832958293305229086037139299739943266524295297691142893 (pp55)
Version: Msieve-1.40
Total time: 9.29 hours.
Scaled time: 24.71 units (timescale=2.660).
Factorization parameters were as follows:
name: 85557_145
n: 14544380012840987558869558652299614757151070265203169594403141238528757762047558573759962687809737447307552871985221549912978329950442763983
m: 100000000000000000000000000000
deg: 5
c5: 77
c0: 13
skew: 0.70
type: snfs
lss: 1
rlim: 1960000
alim: 1960000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1960000/1960000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [980000, 2080001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 311800 x 312048
Total sieving time: 8.99 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.21 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,146.000,5,0,0,0,0,0,0,0,0,1960000,1960000,26,26,49,49,2.3,2.3,100000
total time: 9.29 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
3025e40--
351e6118 / 904Makoto KamadaFebruary 15, 2010 04:00:00 UTC 2010 年 2 月 15 日 (月) 13 時 0 分 0 秒 (日本時間)

77×10148+139

c125

name 名前Sinkiti Sibata
date 日付February 17, 2010 23:55:13 UTC 2010 年 2 月 18 日 (木) 8 時 55 分 13 秒 (日本時間)
composite number 合成数
37683467694215001167882354221649807141981554720615720836368357896190753300314636639156712789613562081367098708689779813573383<125>
prime factors 素因数
59239840885585062706907675552963204129291539970470163436453197<62>
636116963362482415205555452674185788108431490115665192848607139<63>
factorization results 素因数分解の結果
Number: 85557_148
N=37683467694215001167882354221649807141981554720615720836368357896190753300314636639156712789613562081367098708689779813573383
  ( 125 digits)
SNFS difficulty: 149 digits.
Divisors found:
 r1=59239840885585062706907675552963204129291539970470163436453197 (pp62)
 r2=636116963362482415205555452674185788108431490115665192848607139 (pp63)
Version: Msieve-1.40
Total time: 15.31 hours.
Scaled time: 37.46 units (timescale=2.447).
Factorization parameters were as follows:
name: 85557_148
n: 37683467694215001167882354221649807141981554720615720836368357896190753300314636639156712789613562081367098708689779813573383
m: 100000000000000000000000000000
deg: 5
c5: 77000
c0: 13
skew: 0.18
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1100000, 3000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 389843 x 390087
Total sieving time: 14.85 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.36 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,149.000,5,0,0,0,0,0,0,0,0,2200000,2200000,26,26,49,49,2.3,2.3,100000
total time: 15.31 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
3025e40--
351e6118 / 904Makoto KamadaFebruary 15, 2010 04:00:00 UTC 2010 年 2 月 15 日 (月) 13 時 0 分 0 秒 (日本時間)

77×10151+139

c151

name 名前Dmitry Domanov
date 日付October 31, 2010 03:17:36 UTC 2010 年 10 月 31 日 (日) 12 時 17 分 36 秒 (日本時間)
composite number 合成数
3168724279835390946502057613168724279835390946502057613168724279835390946502057613168724279835390946502057613168724279835390946502057613168724279835391<151>
prime factors 素因数
17817383757776476181542495487611419849375352293264754837<56>
177844532222773008279293331844405370486249736672739965755586916136917716440115107266543258930243<96>
factorization results 素因数分解の結果
Number: kc1
N=3168724279835390946502057613168724279835390946502057613168724279835390946502057613168724279835390946502057613168724279835390946502057613168724279835391
  ( 151 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=17817383757776476181542495487611419849375352293264754837 (pp56)
 r2=177844532222773008279293331844405370486249736672739965755586916136917716440115107266543258930243 (pp96)
Version: Msieve-1.40
Total time: 15.22 hours.
Scaled time: 28.40 units (timescale=1.866).
Factorization parameters were as follows:
n: 3168724279835390946502057613168724279835390946502057613168724279835390946502057613168724279835390946502057613168724279835390946502057613168724279835391
m: 1000000000000000000000000000000
deg: 5
c5: 770
c0: 13
skew: 0.44
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1250000, 2150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 434431 x 434668
Total sieving time: 14.77 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.23 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,152.000,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 15.22 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
3025e40--
351e6118 / 904Makoto KamadaOctober 30, 2010 10:00:00 UTC 2010 年 10 月 30 日 (土) 19 時 0 分 0 秒 (日本時間)

77×10152+139

c139

name 名前Dmitry Domanov
date 日付October 31, 2010 06:12:13 UTC 2010 年 10 月 31 日 (日) 15 時 12 分 13 秒 (日本時間)
composite number 合成数
8367501085331653540028212840191996692319129926527038858112897540092108796720943237195108891396738834733341739279030848118257655290009281249<139>
prime factors 素因数
6609820874317523620228474789301<31>
167897169431588428704358546814492507103544587514666051<54>
7539850115245467182191183544972725836203379209055441599<55>
factorization results 素因数分解の結果
Number: kc2
N=8367501085331653540028212840191996692319129926527038858112897540092108796720943237195108891396738834733341739279030848118257655290009281249
  ( 139 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=6609820874317523620228474789301 (pp31)
 r2=167897169431588428704358546814492507103544587514666051 (pp54)
 r3=7539850115245467182191183544972725836203379209055441599 (pp55)
Version: Msieve-1.40
Total time: 17.91 hours.
Scaled time: 34.22 units (timescale=1.911).
Factorization parameters were as follows:
n: 8367501085331653540028212840191996692319129926527038858112897540092108796720943237195108891396738834733341739279030848118257655290009281249
m: 1000000000000000000000000000000
deg: 5
c5: 7700
c0: 13
skew: 0.28
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1300000, 2400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 461312 x 461539
Total sieving time: 17.42 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.26 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,153.000,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 17.91 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
3025e40--
351e6118 / 904Makoto KamadaOctober 30, 2010 10:00:00 UTC 2010 年 10 月 30 日 (土) 19 時 0 分 0 秒 (日本時間)

77×10155+139

c156

name 名前Dmitry Domanov
date 日付October 31, 2010 07:23:24 UTC 2010 年 10 月 31 日 (日) 16 時 23 分 24 秒 (日本時間)
composite number 合成数
855555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557<156>
prime factors 素因数
3676518756408386794521834618265002861744369953415854579061130924331071<70>
232708062229866849606822084434059181464377581750065413727617894589387640592129149627867<87>
factorization results 素因数分解の結果
Number: kc3
N=855555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557
  ( 156 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=3676518756408386794521834618265002861744369953415854579061130924331071 (pp70)
 r2=232708062229866849606822084434059181464377581750065413727617894589387640592129149627867 (pp87)
Version: Msieve-1.40
Total time: 17.35 hours.
Scaled time: 32.27 units (timescale=1.860).
Factorization parameters were as follows:
n: 855555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557
m: 10000000000000000000000000000000
deg: 5
c5: 77
c0: 13
skew: 0.70
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1450000, 2450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 444168 x 444393
Total sieving time: 17.00 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.24 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,156.000,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 17.35 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
3025e40--
351e6118 / 904Makoto KamadaOctober 30, 2010 10:00:00 UTC 2010 年 10 月 30 日 (土) 19 時 0 分 0 秒 (日本時間)

77×10160+139

c136

name 名前Dmitry Domanov
date 日付October 31, 2010 12:50:51 UTC 2010 年 10 月 31 日 (日) 21 時 50 分 51 秒 (日本時間)
composite number 合成数
1098491442967505268336492404268839993904081395237190395815337200158191325949508753866015040571215970632680184649130350572207374345234723<136>
prime factors 素因数
139677800385288375048512775745331<33>
2307668066206992696158828559475852128208362811451719<52>
3407971472239858821192882843439901837691267606071207<52>
factorization results 素因数分解の結果
Number: kc4
N=1098491442967505268336492404268839993904081395237190395815337200158191325949508753866015040571215970632680184649130350572207374345234723
  ( 136 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=139677800385288375048512775745331 (pp33)
 r2=2307668066206992696158828559475852128208362811451719 (pp52)
 r3=3407971472239858821192882843439901837691267606071207 (pp52)
Version: Msieve-1.40
Total time: 23.33 hours.
Scaled time: 44.30 units (timescale=1.899).
Factorization parameters were as follows:
n: 1098491442967505268336492404268839993904081395237190395815337200158191325949508753866015040571215970632680184649130350572207374345234723
m: 100000000000000000000000000000000
deg: 5
c5: 77
c0: 13
skew: 0.70
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1750000, 3050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 606792 x 607022
Total sieving time: 22.61 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.45 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
snfs,161.000,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 23.33 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
3025e40--
351e6118 / 904Makoto KamadaOctober 30, 2010 10:00:00 UTC 2010 年 10 月 30 日 (土) 19 時 0 分 0 秒 (日本時間)

77×10162+139

c151

name 名前Dmitry Domanov
date 日付October 31, 2010 19:32:52 UTC 2010 年 11 月 1 日 (月) 4 時 32 分 52 秒 (日本時間)
composite number 合成数
6881883050180063689758829908981955177048083676585154104350799897760798566497630158821507565149250875056388342246920507649916035696577224383747859531793<151>
prime factors 素因数
4324714229300148967999372205122047302501129<43>
1591291975676675177945912263328400905668680210816825648269181758776761312190366839520811901464446749601609417<109>
factorization results 素因数分解の結果
Number: kc5
N=6881883050180063689758829908981955177048083676585154104350799897760798566497630158821507565149250875056388342246920507649916035696577224383747859531793
  ( 151 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=4324714229300148967999372205122047302501129 (pp43)
 r2=1591291975676675177945912263328400905668680210816825648269181758776761312190366839520811901464446749601609417 (pp109)
Version: Msieve-1.40
Total time: 36.45 hours.
Scaled time: 69.22 units (timescale=1.899).
Factorization parameters were as follows:
n: 6881883050180063689758829908981955177048083676585154104350799897760798566497630158821507565149250875056388342246920507649916035696577224383747859531793
m: 100000000000000000000000000000000
deg: 5
c5: 7700
c0: 13
skew: 0.28
type: snfs
lss: 1
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1900000, 4000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 810910 x 811135
Total sieving time: 35.33 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.82 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,163.000,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 36.45 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
3025e40--
351e6118 / 904Makoto KamadaOctober 30, 2010 10:00:00 UTC 2010 年 10 月 30 日 (土) 19 時 0 分 0 秒 (日本時間)

77×10165+139

c152

name 名前Sinkiti Sibata
date 日付October 31, 2010 22:21:56 UTC 2010 年 11 月 1 日 (月) 7 時 21 分 56 秒 (日本時間)
composite number 合成数
33178854533084913917387659994542466587718421758563640376837402419582002431840731906830718280128894281213560281496881833907749874836881970381733429320637<152>
prime factors 素因数
151751910141115086305227603977066519895075176956000941337592719281514177<72>
218638793424291540802668840687198138903939123503931967217418207351284719584169981<81>
factorization results 素因数分解の結果
Number: 85557_165
N=33178854533084913917387659994542466587718421758563640376837402419582002431840731906830718280128894281213560281496881833907749874836881970381733429320637
  ( 152 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=151751910141115086305227603977066519895075176956000941337592719281514177 (pp72)
 r2=218638793424291540802668840687198138903939123503931967217418207351284719584169981 (pp81)
Version: Msieve v. 1.42
Total time: 2.51 hours.
Scaled time: 2.14 units (timescale=0.852).
Factorization parameters were as follows:
name: 85557_165
n: 33178854533084913917387659994542466587718421758563640376837402419582002431840731906830718280128894281213560281496881833907749874836881970381733429320637
m: 1000000000000000000000000000000000
deg: 5
c5: 77
c0: 13
skew: 0.70
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2100000, 4000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 795618 x 795844
Total sieving time: 0.00 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 2.17 hours.
Time per square root: 0.25 hours.
Prototype def-par.txt line would be:
snfs,166.000,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 2.51 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
Memory: 3886124k/4718592k available (3786k kernel code, 656964k absent, 175504k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5827.43 BogoMIPS (lpj=2913718)
Calibrating delay using timer specific routine.. 5826.53 BogoMIPS (lpj=2913267)
Total of 2 processors activated (11653.97 BogoMIPS).

Total time: 23 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 30, 2010 10:00:00 UTC 2010 年 10 月 30 日 (土) 19 時 0 分 0 秒 (日本時間)

77×10166+139

c142

name 名前Sinkiti Sibata
date 日付November 2, 2010 11:14:30 UTC 2010 年 11 月 2 日 (火) 20 時 14 分 30 秒 (日本時間)
composite number 合成数
2118485115621242701713273487379878021776871204209434347273332830080452725193722939069257261322327303864415664202497059714326889533803364762569<142>
prime factors 素因数
2780185588639439792995859869807<31>
761994136031034389027100363133735706870890670410832509702621060107411837410360945620445668525152253719594826567<111>
factorization results 素因数分解の結果
Number: 85557_166
N=2118485115621242701713273487379878021776871204209434347273332830080452725193722939069257261322327303864415664202497059714326889533803364762569
  ( 142 digits)
SNFS difficulty: 167 digits.
Divisors found:
 r1=2780185588639439792995859869807 (pp31)
 r2=761994136031034389027100363133735706870890670410832509702621060107411837410360945620445668525152253719594826567 (pp111)
Version: Msieve-1.40
Total time: 51.18 hours.
Scaled time: 166.54 units (timescale=3.254).
Factorization parameters were as follows:
name: 85557_166
n: 2118485115621242701713273487379878021776871204209434347273332830080452725193722939069257261322327303864415664202497059714326889533803364762569
m: 1000000000000000000000000000000000
deg: 5
c5: 770
c0: 13
skew: 0.44
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2200000, 4800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 851849 x 852097
Total sieving time: 49.60 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.40 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,167.000,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,51,51,2.4,2.4,100000
total time: 51.18 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
3025e40--
351e6118 / 904Makoto KamadaOctober 30, 2010 10:00:00 UTC 2010 年 10 月 30 日 (土) 19 時 0 分 0 秒 (日本時間)

77×10167+139

c108

name 名前Dmitry Domanov
date 日付November 1, 2010 03:42:36 UTC 2010 年 11 月 1 日 (月) 12 時 42 分 36 秒 (日本時間)
composite number 合成数
145896256006745743700872794612134137276380947417845966079847899616474102181380445733500291109778999521297647<108>
prime factors 素因数
356377630563442689727238678843751923384827038177856157<54>
409386682817548929756452723737530606509993343967576571<54>
factorization results 素因数分解の結果
Number: kc7
N=145896256006745743700872794612134137276380947417845966079847899616474102181380445733500291109778999521297647
  ( 108 digits)
Divisors found:
 r1=356377630563442689727238678843751923384827038177856157 (pp54)
 r2=409386682817548929756452723737530606509993343967576571 (pp54)
Version: Msieve-1.40
Total time: 10.66 hours.
Scaled time: 21.01 units (timescale=1.970).
Factorization parameters were as follows:
name: kc7
n: 145896256006745743700872794612134137276380947417845966079847899616474102181380445733500291109778999521297647
skew: 12270.17
# norm 6.37e+014
c5: 43860
c4: -2898550883
c3: 3249455711260
c2: 647586553587939786
c1: 1355537557819751674328
c0: -26378140608218978692360
# alpha -5.68
Y1: 357392952521
Y0: -319448995031628619527
# Murphy_E 1.39e-009
# M 80733918856062980686150566340817263389158765870498695418676192283626671136380381783213602967057538958961533
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 292976 x 293201
Polynomial selection time: 1.12 hours.
Total sieving time: 9.22 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.23 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
gnfs,107,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 10.66 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
3025e40--
351e6118 / 904Makoto KamadaOctober 30, 2010 10:00:00 UTC 2010 年 10 月 30 日 (土) 19 時 0 分 0 秒 (日本時間)

77×10168+139

c106

name 名前Dmitry Domanov
date 日付October 31, 2010 13:09:33 UTC 2010 年 10 月 31 日 (日) 22 時 9 分 33 秒 (日本時間)
composite number 合成数
9966089751873691071441047985007410320104012562997470620321814448059716262293019949324375281090659470387571<106>
prime factors 素因数
46716687187477602327776351319961<32>
213330404013431398150881123377547621237562463565696726114820168987501388011<75>
factorization results 素因数分解の結果
Number: kc6
N=9966089751873691071441047985007410320104012562997470620321814448059716262293019949324375281090659470387571
  ( 106 digits)
Divisors found:
 r1=46716687187477602327776351319961 (pp32)
 r2=213330404013431398150881123377547621237562463565696726114820168987501388011 (pp75)
Version: Msieve-1.40
Total time: 8.38 hours.
Scaled time: 15.69 units (timescale=1.872).
Factorization parameters were as follows:
name: kc6
n: 9966089751873691071441047985007410320104012562997470620321814448059716262293019949324375281090659470387571
skew: 9263.34
# norm 3.44e+014
c5: 122220
c4: 1180548119
c3: -43404900691823
c2: -84021881031798231
c1: 1176733877488183567332
c0: 1870310230795671215692860
# alpha -5.60
Y1: 74787895369
Y0: -152151448250428752791
# Murphy_E 1.59e-009
# M 5689012708960835847854640346712504146373822499026841790525681832178405174601338324814841836855160453300591
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 360487 x 360717
Polynomial selection time: 0.84 hours.
Total sieving time: 7.08 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.36 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
gnfs,105,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 8.38 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
3025e40--
351e6118 / 904Makoto KamadaOctober 30, 2010 10:00:00 UTC 2010 年 10 月 30 日 (土) 19 時 0 分 0 秒 (日本時間)

77×10169+139

c161

name 名前Ignacio Santos
date 日付November 5, 2010 08:39:16 UTC 2010 年 11 月 5 日 (金) 17 時 39 分 16 秒 (日本時間)
composite number 合成数
66842888671453486105859679860913720045950541363103192676468594496777039779072960833108069109130316206230405044622321513878347602578626311824428001158069887168519<161>
prime factors 素因数
3661136396394171567102677685072974166680651897<46>
18257415576564313283454213829535449456936190157547200428067334283006572348272277435093455756578789054600972066380927<116>
factorization results 素因数分解の結果
Number: 8
N=66842888671453486105859679860913720045950541363103192676468594496777039779072960833108069109130316206230405044622321513878347602578626311824428001158069887168519
  ( 161 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=3661136396394171567102677685072974166680651897 (pp46)
 r2=18257415576564313283454213829535449456936190157547200428067334283006572348272277435093455756578789054600972066380927 (pp116)
Version: Msieve-1.40
Total time: 75.99 hours.
Scaled time: 132.14 units (timescale=1.739).
Factorization parameters were as follows:
n: 66842888671453486105859679860913720045950541363103192676468594496777039779072960833108069109130316206230405044622321513878347602578626311824428001158069887168519
m: 1000000000000000000000000000000000
deg: 5
c5: 770000
c0: 13
skew: 0.11
type: snfs
lss: 1
rlim: 4900000
alim: 4900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2450000, 6650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1090570 x 1090806
Total sieving time: 74.03 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.58 hours.
Time per square root: 0.27 hours.
Prototype def-par.txt line would be:
snfs,170.000,5,0,0,0,0,0,0,0,0,4900000,4900000,27,27,52,52,2.4,2.4,100000
total time: 75.99 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 30, 2010 10:00:00 UTC 2010 年 10 月 30 日 (土) 19 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 1, 2010 21:51:57 UTC 2010 年 11 月 2 日 (火) 6 時 51 分 57 秒 (日本時間)
403e6110 / 2126Ignacio SantosNovember 1, 2010 21:51:57 UTC 2010 年 11 月 2 日 (火) 6 時 51 分 57 秒 (日本時間)
4511e632 / 4437Ignacio SantosNovember 1, 2010 21:51:57 UTC 2010 年 11 月 2 日 (火) 6 時 51 分 57 秒 (日本時間)

77×10170+139

c144

name 名前Ignacio Santos
date 日付November 1, 2010 22:33:03 UTC 2010 年 11 月 2 日 (火) 7 時 33 分 3 秒 (日本時間)
composite number 合成数
139113587391414417983722146853265402113149898656840600434817220665013796560161172717598283594291289353702988627248063675874769235824994747558443<144>
prime factors 素因数
1254742898905200908270397036176169764699<40>
110870193019458412238324666599670349915342743901399445024024277607804022578293352212934158021033557209457<105>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1172411521
Step 1 took 7005ms
Step 2 took 5304ms
********** Factor found in step 2: 1254742898905200908270397036176169764699
Found probable prime factor of 40 digits: 1254742898905200908270397036176169764699
Probable prime cofactor 110870193019458412238324666599670349915342743901399445024024277607804022578293352212934158021033557209457 has 105 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 30, 2010 10:00:00 UTC 2010 年 10 月 30 日 (土) 19 時 0 分 0 秒 (日本時間)

77×10172+139

c167

name 名前Serge Batalov
date 日付October 31, 2010 03:18:36 UTC 2010 年 10 月 31 日 (日) 12 時 18 分 36 秒 (日本時間)
composite number 合成数
10371286814987112867980159162616376108331942974785960547975155084074163105510239093315706994661171339328718326207922561345791107548237360071642155477199810208145126467<167>
prime factors 素因数
1437920070677441825847057649048159<34>
composite cofactor 合成数の残り
7212700501566076528100235634923331066223909879373949363200679060819603711345886153102386029792969848211379901061884177080504136595613<133>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2894542090
Step 1 took 7826ms
Step 2 took 1889ms
********** Factor found in step 2: 1437920070677441825847057649048159
Found probable prime factor of 34 digits: 1437920070677441825847057649048159
Composite cofactor 7212700501566076528100235634923331066223909879373949363200679060819603711345886153102386029792969848211379901061884177080504136595613 has 133 digits

c133

name 名前Warut Roonguthai
date 日付September 25, 2011 13:52:56 UTC 2011 年 9 月 25 日 (日) 22 時 52 分 56 秒 (日本時間)
composite number 合成数
7212700501566076528100235634923331066223909879373949363200679060819603711345886153102386029792969848211379901061884177080504136595613<133>
prime factors 素因数
1765038663260567282432801956699570489940942207876420854297<58>
4086426349574693435103388775201343730444808254341937261844248343287232693029<76>
factorization results 素因数分解の結果
N = 7212700501566076528100235634923331066223909879373949363200679060819603711345886153102386029792969848211379901061884177080504136595613 (133 digits)
SNFS difficulty: 174 digits.
Divisors found:
r1=1765038663260567282432801956699570489940942207876420854297 (pp58)
r2=4086426349574693435103388775201343730444808254341937261844248343287232693029 (pp76)
Version: Msieve v. 1.47
Total time: 34.03 hours.
Factorization parameters were as follows:
name: (77*10^172+13)/9
n: 7212700501566076528100235634923331066223909879373949363200679060819603711345886153102386029792969848211379901061884177080504136595613
Y0: 10000000000000000000000000000000000
Y1: -1
c0: 13
c1: 0
c2: 0
c3: 0
c4: 0
c5: 7700
skew: 0.28
type: snfs
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Sieved rational special-q in [0, 0)
Total raw relations: 12405130
Relations: 1757224 relations
Pruned matrix : 1096069 x 1096296
Polynomial selection time: 0.00 hours.
Total sieving time: 31.40 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 2.47 hours.
time per square root: 0.06 hours.
Prototype def-par.txt line would be: snfs,174,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,53,53,2.5,2.5,100000
total time: 34.03 hours.
Intel64 Family 6 Model 37 Stepping 5, GenuineIntel
Windows-7-6.1.7600
processors: 4, speed: 2.53GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 30, 2010 10:00:00 UTC 2010 年 10 月 30 日 (土) 19 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 1, 2010 23:28:00 UTC 2010 年 11 月 2 日 (火) 8 時 28 分 0 秒 (日本時間)
403e6860110Ignacio SantosNovember 1, 2010 23:28:00 UTC 2010 年 11 月 2 日 (火) 8 時 28 分 0 秒 (日本時間)
750Ignacio SantosNovember 15, 2010 09:37:39 UTC 2010 年 11 月 15 日 (月) 18 時 37 分 39 秒 (日本時間)
4511e6246 / 380432Ignacio SantosNovember 1, 2010 23:28:00 UTC 2010 年 11 月 2 日 (火) 8 時 28 分 0 秒 (日本時間)
214Ignacio SantosNovember 15, 2010 09:37:39 UTC 2010 年 11 月 15 日 (月) 18 時 37 分 39 秒 (日本時間)
5043e6133 / 746358Ignacio SantosNovember 15, 2010 09:37:39 UTC 2010 年 11 月 15 日 (月) 18 時 37 分 39 秒 (日本時間)
75Rich DickersonFebruary 25, 2011 03:00:12 UTC 2011 年 2 月 25 日 (金) 12 時 0 分 12 秒 (日本時間)

77×10173+139

c162

name 名前Ignacio Santos
date 日付November 11, 2010 06:56:58 UTC 2010 年 11 月 11 日 (木) 15 時 56 分 58 秒 (日本時間)
composite number 合成数
764737476379358182852833591080223795180022153109790793543146827682726204342237689958223310529254829989268037366757024379721092657632608413692311924970671740431369<162>
prime factors 素因数
5329062809020613995533950638104794405339<40>
143503183164752976901152465440431118943942986859560304532519315246840741420853423798501282734732687948349217433698705985771<123>
factorization results 素因数分解の結果
Number: 5
N=764737476379358182852833591080223795180022153109790793543146827682726204342237689958223310529254829989268037366757024379721092657632608413692311924970671740431369
  ( 162 digits)
SNFS difficulty: 174 digits.
Divisors found:
 r1=5329062809020613995533950638104794405339 (pp40)
 r2=143503183164752976901152465440431118943942986859560304532519315246840741420853423798501282734732687948349217433698705985771 (pp123)
Version: Msieve-1.40
Total time: 89.69 hours.
Scaled time: 155.97 units (timescale=1.739).
Factorization parameters were as follows:
n: 764737476379358182852833591080223795180022153109790793543146827682726204342237689958223310529254829989268037366757024379721092657632608413692311924970671740431369
m: 10000000000000000000000000000000000
deg: 5
c5: 77000
c0: 13
skew: 0.18
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2900000, 7600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1163752 x 1163983
Total sieving time: 87.50 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.82 hours.
Time per square root: 0.27 hours.
Prototype def-par.txt line would be:
snfs,174.000,5,0,0,0,0,0,0,0,0,5800000,5800000,27,27,52,52,2.4,2.4,100000
total time: 89.69 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 30, 2010 10:00:00 UTC 2010 年 10 月 30 日 (土) 19 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 2, 2010 05:34:48 UTC 2010 年 11 月 2 日 (火) 14 時 34 分 48 秒 (日本時間)
403e6110 / 2126Ignacio SantosNovember 2, 2010 05:34:48 UTC 2010 年 11 月 2 日 (火) 14 時 34 分 48 秒 (日本時間)
4511e632 / 4437Ignacio SantosNovember 2, 2010 05:34:48 UTC 2010 年 11 月 2 日 (火) 14 時 34 分 48 秒 (日本時間)

77×10174+139

c120

name 名前Serge Batalov
date 日付October 31, 2010 01:21:44 UTC 2010 年 10 月 31 日 (日) 10 時 21 分 44 秒 (日本時間)
composite number 合成数
809753282292137858822643514005206745141843042929277664987561478080802754817467705837876690473920200971606271492984355903<120>
prime factors 素因数
18697242095374298457796943263975619<35>
43308701794713937383592207175691891319677677146571699293749176688104623551937453582037<86>
factorization results 素因数分解の結果
Using B1=1500000, B2=2140044280, polynomial Dickson(6), sigma=737780641
Step 1 took 2733ms
Step 2 took 1735ms
********** Factor found in step 2: 18697242095374298457796943263975619
Found probable prime factor of 35 digits: 18697242095374298457796943263975619
Probable prime cofactor 43308701794713937383592207175691891319677677146571699293749176688104623551937453582037 has 86 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 30, 2010 10:00:00 UTC 2010 年 10 月 30 日 (土) 19 時 0 分 0 秒 (日本時間)

77×10175+139

c154

name 名前Robert Backstrom
date 日付January 14, 2012 22:52:47 UTC 2012 年 1 月 15 日 (日) 7 時 52 分 47 秒 (日本時間)
composite number 合成数
2552119064710123382693777352627000656931116244328653192467033969201063816765231639973556943421901016499183518479506816501317273826191006857636417214769017<154>
prime factors 素因数
137369294774114406065510016515429574384696974404424068820615062898737<69>
18578526365056651452511133151125480739998981805549130377212478575758215091589334698441<86>
factorization results 素因数分解の結果
Number: n
N=2552119064710123382693777352627000656931116244328653192467033969201063816765231639973556943421901016499183518479506816501317273826191006857636417214769017
  ( 154 digits)
SNFS difficulty: 176 digits.
Divisors found:

Sun Jan 15 02:30:57 2012  prp69 factor: 137369294774114406065510016515429574384696974404424068820615062898737
Sun Jan 15 02:30:57 2012  prp86 factor: 18578526365056651452511133151125480739998981805549130377212478575758215091589334698441
Sun Jan 15 02:30:57 2012  elapsed time 02:17:17 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.649).
Factorization parameters were as follows:
name: KA_85557_175
n: 2552119064710123382693777352627000656931116244328653192467033969201063816765231639973556943421901016499183518479506816501317273826191006857636417214769017
m: 100000000000000000000000000000000000
deg: 5
c5: 77
c0: 13
skew: 0.70
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 9000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 6635676 hash collisions in 75000099 relations
Msieve: matrix is 1030053 x 1030280 (285.1 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.06 BogoMIPS (lpj=2797533)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44760.82 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaOctober 30, 2010 10:00:00 UTC 2010 年 10 月 30 日 (土) 19 時 0 分 0 秒 (日本時間)
786Luigi MorelliNovember 8, 2010 13:35:31 UTC 2010 年 11 月 8 日 (月) 22 時 35 分 31 秒 (日本時間)
403e61414100Rich DickersonFebruary 24, 2011 23:51:50 UTC 2011 年 2 月 25 日 (金) 8 時 51 分 50 秒 (日本時間)
1314Wataru SakaiSeptember 5, 2011 09:11:00 UTC 2011 年 9 月 5 日 (月) 18 時 11 分 0 秒 (日本時間)
4511e64200200Rich DickersonFebruary 25, 2011 03:02:59 UTC 2011 年 2 月 25 日 (金) 12 時 2 分 59 秒 (日本時間)
4000Wataru SakaiSeptember 13, 2011 11:24:38 UTC 2011 年 9 月 13 日 (火) 20 時 24 分 38 秒 (日本時間)
5043e60--
5511e72730 / 17495yoyo@homeMay 25, 2012 21:40:06 UTC 2012 年 5 月 26 日 (土) 6 時 40 分 6 秒 (日本時間)

77×10177+139

c134

name 名前Robert Backstrom
date 日付April 24, 2012 05:50:23 UTC 2012 年 4 月 24 日 (火) 14 時 50 分 23 秒 (日本時間)
composite number 合成数
12346114588667074746475095827559975276012508472137703878289823096787623478204833005631034284800251237670232171731870052650209873868669<134>
prime factors 素因数
10744567216059365477362975737289477521117073148653521671<56>
1149056480396339907824105545315316092160310945940029904453128760561355965928539<79>
factorization results 素因数分解の結果
Number: n
N=12346114588667074746475095827559975276012508472137703878289823096787623478204833005631034284800251237670232171731870052650209873868669
  ( 134 digits)
Divisors found:

Tue Apr 24 15:45:13 2012  prp56 factor: 10744567216059365477362975737289477521117073148653521671
Tue Apr 24 15:45:13 2012  prp79 factor: 1149056480396339907824105545315316092160310945940029904453128760561355965928539
Tue Apr 24 15:45:13 2012  elapsed time 02:57:21 (Msieve 1.44 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.721).
Factorization parameters were as follows:
name: KA_85557_177
n: 12346114588667074746475095827559975276012508472137703878289823096787623478204833005631034284800251237670232171731870052650209873868669
skew: 204223.11
# norm 1.17e+19
c5: 50760
c4: 32805181506
c3: 172888544252245478
c2: -368933358150829444654
c1: -951987951282353954570889443
c0: -11890045420841429997705597296732
# alpha -6.75
Y1: 919671900449093
Y0: -47555489060419339319417535
# Murphy_E 4.53e-11
# M 9236679418977600509908143880849077425971386689534485862904047161961113486268825505690536576883229638213519305165958131603695998896746
type: gnfs
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
qintsize: 60000
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 28680000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 3137660 hash collisions in 13247633 relations
Msieve: matrix is 1366080 x 1366305 (397.0 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,133,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5400000,5400000,27,27,51,51,2.5,2.5,60000
total time: 0.00 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
351e6418118Makoto KamadaOctober 30, 2010 10:00:00 UTC 2010 年 10 月 30 日 (土) 19 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 10, 2010 06:06:52 UTC 2010 年 11 月 10 日 (水) 15 時 6 分 52 秒 (日本時間)
403e6880110Ignacio SantosNovember 10, 2010 06:06:52 UTC 2010 年 11 月 10 日 (水) 15 時 6 分 52 秒 (日本時間)
770Ignacio SantosJuly 15, 2011 07:41:25 UTC 2011 年 7 月 15 日 (金) 16 時 41 分 25 秒 (日本時間)
4511e6252 / 405332Ignacio SantosNovember 10, 2010 06:06:52 UTC 2010 年 11 月 10 日 (水) 15 時 6 分 52 秒 (日本時間)
220Ignacio SantosJuly 15, 2011 07:41:25 UTC 2011 年 7 月 15 日 (金) 16 時 41 分 25 秒 (日本時間)
5043e661 / 7461Ignacio SantosJuly 15, 2011 07:41:25 UTC 2011 年 7 月 15 日 (金) 16 時 41 分 25 秒 (日本時間)

77×10178+139

c155

name 名前Serge Batalov
date 日付October 31, 2010 01:23:25 UTC 2010 年 10 月 31 日 (日) 10 時 23 分 25 秒 (日本時間)
composite number 合成数
61796114014908736231279351696085213378611524871405320415878074642746232933794625010905092553889685111343784490188983554022910378893547577472568057946304161<155>
prime factors 素因数
764631056353168936352036874481<30>
80818210954756531142665820609463261438095313649673271366541305070377914107786512939380508034113904509537665003037224118575281<125>
factorization results 素因数分解の結果
Using B1=1500000, B2=2140044280, polynomial Dickson(6), sigma=246846633
Step 1 took 4049ms
Step 2 took 2176ms
********** Factor found in step 2: 764631056353168936352036874481
Found probable prime factor of 30 digits: 764631056353168936352036874481
Probable prime cofactor 80818210954756531142665820609463261438095313649673271366541305070377914107786512939380508034113904509537665003037224118575281 has 125 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 30, 2010 10:00:00 UTC 2010 年 10 月 30 日 (土) 19 時 0 分 0 秒 (日本時間)

77×10179+139

c121

name 名前Warut Roonguthai
date 日付June 13, 2011 14:32:23 UTC 2011 年 6 月 13 日 (月) 23 時 32 分 23 秒 (日本時間)
composite number 合成数
1800485013924273616277080302416213714297702488568072032612888194660755338496630976045963259724803581322873645120627538429<121>
prime factors 素因数
9266368900652527338204473622892751508784056086849<49>
194303187497476543863336497950606294652056113728839931014486448843775421<72>
factorization results 素因数分解の結果
N = 1800485013924273616277080302416213714297702488568072032612888194660755338496630976045963259724803581322873645120627538429 (121 digits)
Divisors found:
r1=9266368900652527338204473622892751508784056086849 (pp49)
r2=194303187497476543863336497950606294652056113728839931014486448843775421 (pp72)
Version: Msieve v. 1.47
Total time: 14.61 hours.
Factorization parameters were as follows:
n: 1800485013924273616277080302416213714297702488568072032612888194660755338496630976045963259724803581322873645120627538429
Y0: -220325914429871267692405
Y1: 8162779998869
c0: -4200210895458216502761357221244
c1: 56758952585474944135988262
c2: 389619093957367652974
c3: -1508621666931155
c4: -3768370712
c5: 3468
skew: 334365.87 
type: gnfs
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10434233
Relations: 1201892 relations
Pruned matrix : 691847 x 692074
Polynomial selection time: 0.00 hours.
Total sieving time: 13.71 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.77 hours.
time per square root: 0.06 hours.
Prototype def-par.txt line would be: gnfs,120,5,65,2000,1e-05,0.28,250,20,50000,3600,4400000,4400000,27,27,53,53,2.5,2.5,100000
total time: 14.61 hours.
Intel64 Family 6 Model 37 Stepping 5, GenuineIntel
Windows-7-6.1.7600
processors: 4, speed: 2.53GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaOctober 30, 2010 10:00:00 UTC 2010 年 10 月 30 日 (土) 19 時 0 分 0 秒 (日本時間)
786juno1369October 31, 2010 16:42:12 UTC 2010 年 11 月 1 日 (月) 1 時 42 分 12 秒 (日本時間)
403e6500 / 2104Erik BrangerOctober 31, 2010 17:34:25 UTC 2010 年 11 月 1 日 (月) 2 時 34 分 25 秒 (日本時間)

77×10180+139

c145

name 名前Jo Yeong Uk
date 日付March 14, 2014 13:17:43 UTC 2014 年 3 月 14 日 (金) 22 時 17 分 43 秒 (日本時間)
composite number 合成数
6245337445788148452584267294464907090699643046069649072739628247076807475838012862066692260493910057393236137409368686313546357573280807876299561<145>
prime factors 素因数
466754933127274220747229507599706722021189098693571786058374810515763<69>
13380335166345583584760702754912789331129109009785716756287442918379696144947<77>
factorization results 素因数分解の結果
Number: 85557_180
N=6245337445788148452584267294464907090699643046069649072739628247076807475838012862066692260493910057393236137409368686313546357573280807876299561
  ( 145 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=466754933127274220747229507599706722021189098693571786058374810515763
 r2=13380335166345583584760702754912789331129109009785716756287442918379696144947
Version: 
Total time: 51.00 hours.
Scaled time: 264.53 units (timescale=5.187).
Factorization parameters were as follows:
n: 6245337445788148452584267294464907090699643046069649072739628247076807475838012862066692260493910057393236137409368686313546357573280807876299561
m: 1000000000000000000000000000000000000
deg: 5
c5: 77
c0: 13
skew: 0.70
# Murphy_E = 9.626e-11
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [2800000, 5200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 17795039
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1335304 x 1335552
Total sieving time: 47.51 hours.
Total relation processing time: 1.10 hours.
Matrix solve time: 1.97 hours.
Time per square root: 0.43 hours.
Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,5600000,5600000,28,28,53,53,2.5,2.5,100000
total time: 51.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49370224k/51380224k available (5223k kernel code, 1085960k absent, 924040k reserved, 7119k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.85 BogoMIPS (lpj=3399928)
Total of 12 processors activated (81598.27 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7 4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 30, 2010 10:00:00 UTC 2010 年 10 月 30 日 (土) 19 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 10, 2010 06:07:24 UTC 2010 年 11 月 10 日 (水) 15 時 7 分 24 秒 (日本時間)
403e61110110Ignacio SantosNovember 10, 2010 06:07:24 UTC 2010 年 11 月 10 日 (水) 15 時 7 分 24 秒 (日本時間)
1000Dmitry DomanovMay 25, 2012 06:50:48 UTC 2012 年 5 月 25 日 (金) 15 時 50 分 48 秒 (日本時間)
4511e61282 / 421632Ignacio SantosNovember 10, 2010 06:07:24 UTC 2010 年 11 月 10 日 (水) 15 時 7 分 24 秒 (日本時間)
400Dmitry DomanovMay 26, 2012 16:40:36 UTC 2012 年 5 月 27 日 (日) 1 時 40 分 36 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:05:51 UTC 2013 年 11 月 9 日 (土) 2 時 5 分 51 秒 (日本時間)

77×10183+139

c182

name 名前Robert Backstrom
date 日付November 1, 2010 11:21:00 UTC 2010 年 11 月 1 日 (月) 20 時 21 分 0 秒 (日本時間)
composite number 合成数
52488070892978868438991138377641445126107702794819359236537150647580095432856169052488070892978868438991138377641445126107702794819359236537150647580095432856169052488070892978868439<182>
prime factors 素因数
55439416744434340107074122746954389640443019542639<50>
946764485906108266664716528366413333994250694091967219563897465949470995038205648445550739118829881536941684491368454593632989682201<132>
factorization results 素因数分解の結果
Number: n
N=52488070892978868438991138377641445126107702794819359236537150647580095432856169052488070892978868438991138377641445126107702794819359236537150647580095432856169052488070892978868439
  ( 182 digits)
SNFS difficulty: 184 digits.
Divisors found:

Mon Nov  1 22:15:49 2010  prp50 factor: 55439416744434340107074122746954389640443019542639
Mon Nov  1 22:15:49 2010  prp132 factor: 946764485906108266664716528366413333994250694091967219563897465949470995038205648445550739118829881536941684491368454593632989682201
Mon Nov  1 22:15:49 2010  elapsed time 01:46:52 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.092).
Factorization parameters were as follows:
name: KA_8_5_182_7
n: 52488070892978868438991138377641445126107702794819359236537150647580095432856169052488070892978868438991138377641445126107702794819359236537150647580095432856169052488070892978868439
m: 1000000000000000000000000000000000000
deg: 5
c5: 77000
c0: 13
skew: 0.18
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 11700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3857805 hash collisions in 32071709 relations
Msieve: matrix is 1125450 x 1125676 (317.7 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,184,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,56,56,2.5,2.5,100000
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.. 5660.90 BogoMIPS (lpj=2830451)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830457)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830458)
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
3025e40--
351e6118 / 904Makoto KamadaOctober 30, 2010 10:00:00 UTC 2010 年 10 月 30 日 (土) 19 時 0 分 0 秒 (日本時間)

77×10185+139

c152

name 名前Jo Yeong Uk
date 日付January 3, 2015 00:48:05 UTC 2015 年 1 月 3 日 (土) 9 時 48 分 5 秒 (日本時間)
composite number 合成数
27794021330985122861094491957829324075246553389226362046525385733040372593123274060728109769346484269699445330195644156787923359046006399476155312217857<152>
prime factors 素因数
983186927163552502784561027491802151173218021002143192733591475580324446003<75>
28269315389668119109468349348011549395889641595200767289915320928630678714619<77>
factorization results 素因数分解の結果
Number: 85557_185
N=27794021330985122861094491957829324075246553389226362046525385733040372593123274060728109769346484269699445330195644156787923359046006399476155312217857
  ( 152 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=983186927163552502784561027491802151173218021002143192733591475580324446003
 r2=28269315389668119109468349348011549395889641595200767289915320928630678714619
Version: 
Total time: 75.07 hours.
Scaled time: 393.13 units (timescale=5.237).
Factorization parameters were as follows:
n: 27794021330985122861094491957829324075246553389226362046525385733040372593123274060728109769346484269699445330195644156787923359046006399476155312217857
m: 10000000000000000000000000000000000000
deg: 5
c5: 77
c0: 13
skew: 0.70
# Murphy_E = 6.03e-11
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4200000, 7500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20282413
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1697956 x 1698204
Total sieving time: 69.42 hours.
Total relation processing time: 1.76 hours.
Matrix solve time: 3.77 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,54,54,2.5,2.5,100000
total time: 75.07 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.88 BogoMIPS (lpj=3399941)
Total of 12 processors activated (81598.58 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 30, 2010 10:00:00 UTC 2010 年 10 月 30 日 (土) 19 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 10, 2010 06:07:55 UTC 2010 年 11 月 10 日 (水) 15 時 7 分 55 秒 (日本時間)
403e61110110Ignacio SantosNovember 10, 2010 06:07:55 UTC 2010 年 11 月 10 日 (水) 15 時 7 分 55 秒 (日本時間)
1000Dmitry DomanovMay 25, 2012 06:50:58 UTC 2012 年 5 月 25 日 (金) 15 時 50 分 58 秒 (日本時間)
4511e6421632Ignacio SantosNovember 10, 2010 06:07:55 UTC 2010 年 11 月 10 日 (水) 15 時 7 分 55 秒 (日本時間)
400Dmitry DomanovMay 26, 2012 16:40:47 UTC 2012 年 5 月 27 日 (日) 1 時 40 分 47 秒 (日本時間)
3784Jo Yeong UkNovember 16, 2014 08:05:47 UTC 2014 年 11 月 16 日 (日) 17 時 5 分 47 秒 (日本時間)

77×10187+139

c163

name 名前Serge Batalov
date 日付October 31, 2010 01:22:07 UTC 2010 年 10 月 31 日 (日) 10 時 22 分 7 秒 (日本時間)
composite number 合成数
6161571263676539212343977600190118449840105481227086414313937970419933791694967661257333122563298500729951698842588630333475340651160598611344932828939773011667809<163>
prime factors 素因数
17716412372437660491200909040183343<35>
composite cofactor 合成数の残り
347788882655633737307020594575906280265274288831091295397684771737257436196764127322019354446790920119362535834401335019283460463<129>
factorization results 素因数分解の結果
Using B1=1500000, B2=2140044280, polynomial Dickson(6), sigma=822453501
Step 1 took 3863ms
Step 2 took 2218ms
********** Factor found in step 2: 17716412372437660491200909040183343
Found probable prime factor of 35 digits: 17716412372437660491200909040183343
Composite cofactor 347788882655633737307020594575906280265274288831091295397684771737257436196764127322019354446790920119362535834401335019283460463 has 129 digits

c129

name 名前Ignacio Santos
date 日付November 21, 2010 10:35:04 UTC 2010 年 11 月 21 日 (日) 19 時 35 分 4 秒 (日本時間)
composite number 合成数
347788882655633737307020594575906280265274288831091295397684771737257436196764127322019354446790920119362535834401335019283460463<129>
prime factors 素因数
37116249324173855700431638555162531194366613953662051610262157<62>
9370259360476879856802601347961877923837962514968815294322080807659<67>
factorization results 素因数分解の結果
Number: 2
N=347788882655633737307020594575906280265274288831091295397684771737257436196764127322019354446790920119362535834401335019283460463
  ( 129 digits)
Divisors found:
 r1=37116249324173855700431638555162531194366613953662051610262157 (pp62)
 r2=9370259360476879856802601347961877923837962514968815294322080807659 (pp67)
Version: Msieve-1.40
Total time: 103.12 hours.
Scaled time: 179.32 units (timescale=1.739).
Factorization parameters were as follows:
# Murphy_E = 9.885e-11, selected by Erik Branger
n: 347788882655633737307020594575906280265274288831091295397684771737257436196764127322019354446790920119362535834401335019283460463
Y0: -9743790787868030176790653
Y1: 85439538423563
c0: -1011144216291327408673067048607600
c1: 4601263715895331982876415930
c2: 13975257482141138733173
c3: -36093357924945470
c4: -20009653092
c5: 3960
skew: 904750.03
type: gnfs
# selected mechanically
rlim: 8900000
alim: 8900000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8900000/8900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved algebraic special-q in [4450000, 8950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1139934 x 1140159
Total sieving time: 99.64 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 1.80 hours.
Time per square root: 1.44 hours.
Prototype def-par.txt line would be:
gnfs,128,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,8900000,8900000,28,28,53,53,2.5,2.5,100000
total time: 103.12 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 30, 2010 10:00:00 UTC 2010 年 10 月 30 日 (土) 19 時 0 分 0 秒 (日本時間)
403e61260500Erik BrangerOctober 31, 2010 17:34:42 UTC 2010 年 11 月 1 日 (月) 2 時 34 分 42 秒 (日本時間)
760Ignacio SantosNovember 11, 2010 06:48:50 UTC 2010 年 11 月 11 日 (木) 15 時 48 分 50 秒 (日本時間)
4511e6217 / 3986Ignacio SantosNovember 11, 2010 06:48:50 UTC 2010 年 11 月 11 日 (木) 15 時 48 分 50 秒 (日本時間)
5043e660 / 7456Ignacio SantosNovember 11, 2010 06:48:50 UTC 2010 年 11 月 11 日 (木) 15 時 48 分 50 秒 (日本時間)

77×10188+139

c185

name 名前Robert Backstrom
date 日付November 3, 2010 06:56:36 UTC 2010 年 11 月 3 日 (水) 15 時 56 分 36 秒 (日本時間)
composite number 合成数
18886853033302182290018666097608237611328187279091272556911975000674530465475077938929238074914579914690292402824688305603999107166947516624109926390329931246949282667510442958024582343<185>
prime factors 素因数
29892131052075468374469455795388267420350848216761719500987218026683436153<74>
631833608664405732200507720964684534366221613069417424143651694843494215477510368915520201124092849926829927231<111>
factorization results 素因数分解の結果
Number: n
N=18886853033302182290018666097608237611328187279091272556911975000674530465475077938929238074914579914690292402824688305603999107166947516624109926390329931246949282667510442958024582343
  ( 185 digits)
SNFS difficulty: 189 digits.
Divisors found:

Wed Nov  3 17:51:26 2010  prp74 factor: 29892131052075468374469455795388267420350848216761719500987218026683436153
Wed Nov  3 17:51:26 2010  prp111 factor: 631833608664405732200507720964684534366221613069417424143651694843494215477510368915520201124092849926829927231
Wed Nov  3 17:51:26 2010  elapsed time 02:29:24 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.096).
Factorization parameters were as follows:
name: KA_8_5_187_7
n: 18886853033302182290018666097608237611328187279091272556911975000674530465475077938929238074914579914690292402824688305603999107166947516624109926390329931246949282667510442958024582343
m: 10000000000000000000000000000000000000
deg: 5
c5: 77000
c0: 13
skew: 0.18
type: snfs
lss: 1
rlim: 10200000
alim: 10200000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
Factor base limits: 10200000/10200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 19400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4620911 hash collisions in 34287154 relations
Msieve: matrix is 1347335 x 1347560 (381.7 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,189,5,0,0,0,0,0,0,0,0,10200000,10200000,28,28,56,56,2.5,2.5,100000
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.. 5660.90 BogoMIPS (lpj=2830451)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830457)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830458)
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
351e6904118Makoto KamadaOctober 30, 2010 10:00:00 UTC 2010 年 10 月 30 日 (土) 19 時 0 分 0 秒 (日本時間)
786Serge BatalovOctober 31, 2010 03:20:57 UTC 2010 年 10 月 31 日 (日) 12 時 20 分 57 秒 (日本時間)

77×10191+139

c164

name 名前Serge Batalov
date 日付October 31, 2010 05:02:48 UTC 2010 年 10 月 31 日 (日) 14 時 2 分 48 秒 (日本時間)
composite number 合成数
75558889033104160311091157829719274555975459107418216377539950504980179725705748802037990691349248373423236158646672798529926353865648807920957402587935443256500091<164>
prime factors 素因数
669564917463893785668086132742201980293<39>
composite cofactor 合成数の残り
112847741962494122265988467097484593886210804935884615274808058281605655981867060870362659325296185815252124225953818488492287<126>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1683187010
Step 1 took 7734ms
Step 2 took 3799ms
********** Factor found in step 2: 669564917463893785668086132742201980293
Found probable prime factor of 39 digits: 669564917463893785668086132742201980293
Composite cofactor 112847741962494122265988467097484593886210804935884615274808058281605655981867060870362659325296185815252124225953818488492287 has 126 digits

c126

name 名前Warut Roonguthai
date 日付June 14, 2011 18:41:28 UTC 2011 年 6 月 15 日 (水) 3 時 41 分 28 秒 (日本時間)
composite number 合成数
112847741962494122265988467097484593886210804935884615274808058281605655981867060870362659325296185815252124225953818488492287<126>
prime factors 素因数
442485696176794039783472885176295587090066460372194962217229<60>
255031389573791087320583745215526636165340143720155012785558681403<66>
factorization results 素因数分解の結果
N = 112847741962494122265988467097484593886210804935884615274808058281605655981867060870362659325296185815252124225953818488492287 (126 digits)
Divisors found:
r1=442485696176794039783472885176295587090066460372194962217229 (pp60)
r2=255031389573791087320583745215526636165340143720155012785558681403 (pp66)
Version: Msieve v. 1.47
Total time: 28.79 hours.
Factorization parameters were as follows:
n: 112847741962494122265988467097484593886210804935884615274808058281605655981867060870362659325296185815252124225953818488492287
Y0: -1847423164132032075272881
Y1: 21113255341447
c0: 64953345554253144839783551680
c1: 19231407832395084991886928
c2: 119069544800029800452
c3: -586421575949256
c4: -1831453591
c5: 5244
skew: 232626.43 
type: gnfs
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 18333741
Relations: 2106586 relations
Pruned matrix : 1158631 x 1158856
Polynomial selection time: 0.00 hours.
Total sieving time: 25.63 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 2.73 hours.
time per square root: 0.30 hours.
Prototype def-par.txt line would be: gnfs,125,5,65,2000,1e-05,0.28,250,20,50000,3600,5800000,5800000,28,28,55,55,2.5,2.5,100000
total time: 28.79 hours.
Intel64 Family 6 Model 37 Stepping 5, GenuineIntel
Windows-7-6.1.7600
processors: 4, speed: 2.53GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 30, 2010 10:00:00 UTC 2010 年 10 月 30 日 (土) 19 時 0 分 0 秒 (日本時間)
403e6500 / 2318Erik BrangerOctober 31, 2010 17:34:34 UTC 2010 年 11 月 1 日 (月) 2 時 34 分 34 秒 (日本時間)

77×10192+139

c188

name 名前Robert Backstrom
date 日付November 2, 2010 11:16:37 UTC 2010 年 11 月 2 日 (火) 20 時 16 分 37 秒 (日本時間)
composite number 合成数
69061578711813207264560557587042254026424574441655074187382898021161544001643127431169373970242531707785213108784543121780676570276434664607375955987145577323406404071224910242370265133679<188>
prime factors 素因数
5645431907404362738089925297916919371644430394327<49>
12233178939105493940943897479139273964205295331433471818792209113486919362275547138715609899769878454903242129984309643273082350800132641577<140>
factorization results 素因数分解の結果
Number: n
N=69061578711813207264560557587042254026424574441655074187382898021161544001643127431169373970242531707785213108784543121780676570276434664607375955987145577323406404071224910242370265133679
  ( 188 digits)
SNFS difficulty: 193 digits.
Divisors found:

Tue Nov  2 22:07:47 2010  prp49 factor: 5645431907404362738089925297916919371644430394327
Tue Nov  2 22:07:47 2010  prp140 factor: 12233178939105493940943897479139273964205295331433471818792209113486919362275547138715609899769878454903242129984309643273082350800132641577
Tue Nov  2 22:07:47 2010  elapsed time 04:36:41 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.097).
Factorization parameters were as follows:
name: KA_8_5_191_7
n: 69061578711813207264560557587042254026424574441655074187382898021161544001643127431169373970242531707785213108784543121780676570276434664607375955987145577323406404071224910242370265133679
m: 100000000000000000000000000000000000000
deg: 5
c5: 7700
c0: 13
skew: 0.28
type: snfs
lss: 1
rlim: 11900000
alim: 11900000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
Factor base limits: 11900000/11900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 23650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3956704 hash collisions in 29819187 relations
Msieve: matrix is 1780326 x 1780551 (505.2 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,193,5,0,0,0,0,0,0,0,0,11900000,11900000,28,28,56,56,2.5,2.5,100000
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.. 5660.90 BogoMIPS (lpj=2830451)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830457)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830458)
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
3025e40--
351e6118 / 904Makoto KamadaOctober 30, 2010 10:00:00 UTC 2010 年 10 月 30 日 (土) 19 時 0 分 0 秒 (日本時間)

77×10193+139

c179

composite cofactor 合成数の残り
52782032538187763400484386671266394656287133089318421945252649661265289102713730158588245074667688119843986146732890771526316500140409135536224181251279029722544029111942283350401<179>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 30, 2010 10:00:00 UTC 2010 年 10 月 30 日 (土) 19 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 10, 2010 06:08:44 UTC 2010 年 11 月 10 日 (水) 15 時 8 分 44 秒 (日本時間)
403e61110110Ignacio SantosNovember 10, 2010 06:08:44 UTC 2010 年 11 月 10 日 (水) 15 時 8 分 44 秒 (日本時間)
1000Dmitry DomanovMay 25, 2012 06:51:09 UTC 2012 年 5 月 25 日 (金) 15 時 51 分 9 秒 (日本時間)
4511e6432 / 421632Ignacio SantosNovember 10, 2010 06:08:44 UTC 2010 年 11 月 10 日 (水) 15 時 8 分 44 秒 (日本時間)
400Dmitry DomanovMay 25, 2012 22:48:38 UTC 2012 年 5 月 26 日 (土) 7 時 48 分 38 秒 (日本時間)

77×10194+139

c180

composite cofactor 合成数の残り
104645256613729237273431621644154919937792543771368188478916536686833724755136373863168520707723657516150049828850853610472367247826674106985018882537594713196473071099418579523377<180>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 30, 2010 10:00:00 UTC 2010 年 10 月 30 日 (土) 19 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 10, 2010 06:09:20 UTC 2010 年 11 月 10 日 (水) 15 時 9 分 20 秒 (日本時間)
403e61110110Ignacio SantosNovember 10, 2010 06:09:20 UTC 2010 年 11 月 10 日 (水) 15 時 9 分 20 秒 (日本時間)
1000Dmitry DomanovMay 25, 2012 06:51:18 UTC 2012 年 5 月 25 日 (金) 15 時 51 分 18 秒 (日本時間)
4511e6432 / 421632Ignacio SantosNovember 10, 2010 06:09:20 UTC 2010 年 11 月 10 日 (水) 15 時 9 分 20 秒 (日本時間)
400Dmitry DomanovMay 25, 2012 22:48:50 UTC 2012 年 5 月 26 日 (土) 7 時 48 分 50 秒 (日本時間)

77×10195+139

c180

name 名前Serge Batalov
date 日付October 31, 2010 01:22:58 UTC 2010 年 10 月 31 日 (日) 10 時 22 分 58 秒 (日本時間)
composite number 合成数
364662303367408572554420774653800219844261007146561526887394896648071984934165399268969286952049097703228955263941252834090142079346612063305654952639034783261361871481674761726029<180>
prime factors 素因数
1451135271160098570341922896219<31>
251294493776505197609523924115960581010336332979214247005982038342482393625629246958724251771900980707255270315781587493960717378710753200506637167991<150>
factorization results 素因数分解の結果
Using B1=1500000, B2=2140044280, polynomial Dickson(6), sigma=2712925149
Step 1 took 4552ms
********** Factor found in step 1: 1451135271160098570341922896219
Found probable prime factor of 31 digits: 1451135271160098570341922896219
Probable prime cofactor 251294493776505197609523924115960581010336332979214247005982038342482393625629246958724251771900980707255270315781587493960717378710753200506637167991 has 150 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 30, 2010 10:00:00 UTC 2010 年 10 月 30 日 (土) 19 時 0 分 0 秒 (日本時間)

77×10196+139

c173

name 名前Serge Batalov
date 日付October 31, 2010 01:21:17 UTC 2010 年 10 月 31 日 (日) 10 時 21 分 17 秒 (日本時間)
composite number 合成数
29837752233830679832715580331465424982361539647169990968254599516199840492725091489073548271846401378452753432299335855864754932392254811909825630436626168201785473224356737<173>
prime factors 素因数
252617366249928595700260223920049<33>
composite cofactor 合成数の残り
118114414209791539657267740806479931235438879209194088128968380885920459947592331813503250762459157476618212290512041452315580631985727048913<141>
factorization results 素因数分解の結果
Using B1=1500000, B2=2140044280, polynomial Dickson(6), sigma=4014892291
Step 1 took 3862ms
Step 2 took 2287ms
********** Factor found in step 2: 252617366249928595700260223920049
Found probable prime factor of 33 digits: 252617366249928595700260223920049
Composite cofactor 118114414209791539657267740806479931235438879209194088128968380885920459947592331813503250762459157476618212290512041452315580631985727048913 has 141 digits

c141

name 名前Ignacio Santos
date 日付November 10, 2010 06:05:55 UTC 2010 年 11 月 10 日 (水) 15 時 5 分 55 秒 (日本時間)
composite number 合成数
118114414209791539657267740806479931235438879209194088128968380885920459947592331813503250762459157476618212290512041452315580631985727048913<141>
prime factors 素因数
1425979163680502988582342043533758071<37>
82830392770209931764403113273976801264256973019350871818538620754274728722079435074298340824324073875703<104>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=227401820
Step 1 took 71401ms
Step 2 took 35085ms
********** Factor found in step 2: 1425979163680502988582342043533758071
Found probable prime factor of 37 digits: 1425979163680502988582342043533758071
Probable prime cofactor 82830392770209931764403113273976801264256973019350871818538620754274728722079435074298340824324073875703 has 104 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 30, 2010 10:00:00 UTC 2010 年 10 月 30 日 (土) 19 時 0 分 0 秒 (日本時間)

77×10197+139

c180

composite cofactor 合成数の残り
125810044868781526448763635305083742671951962007675933869144398242470364342589672822784647386913322266862161763960742496797385071382373040596413040770096506909581517694320189042989<180>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 30, 2010 10:00:00 UTC 2010 年 10 月 30 日 (土) 19 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 10, 2010 07:26:25 UTC 2010 年 11 月 10 日 (水) 16 時 26 分 25 秒 (日本時間)
403e61110110Ignacio SantosNovember 10, 2010 07:26:25 UTC 2010 年 11 月 10 日 (水) 16 時 26 分 25 秒 (日本時間)
1000Dmitry DomanovMay 25, 2012 06:51:26 UTC 2012 年 5 月 25 日 (金) 15 時 51 分 26 秒 (日本時間)
4511e6432 / 421632Ignacio SantosNovember 10, 2010 07:26:25 UTC 2010 年 11 月 10 日 (水) 16 時 26 分 25 秒 (日本時間)
400Dmitry DomanovMay 25, 2012 22:49:04 UTC 2012 年 5 月 26 日 (土) 7 時 49 分 4 秒 (日本時間)

77×10198+139

c199

name 名前Robert Backstrom
date 日付November 4, 2010 22:38:54 UTC 2010 年 11 月 5 日 (金) 7 時 38 分 54 秒 (日本時間)
composite number 合成数
8555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557<199>
prime factors 素因数
57793953536183871679753447143199463715714981117571709179<56>
148035478316932562920872750082758113117387966257948491299089636709043304411238660928591183518746621952047399304334901345441884895885259043860383<144>
factorization results 素因数分解の結果
Number: n
N=8555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557
  ( 199 digits)
SNFS difficulty: 199 digits.
Divisors found:

Fri Nov  5 09:19:33 2010  prp56 factor: 57793953536183871679753447143199463715714981117571709179
Fri Nov  5 09:19:33 2010  prp144 factor: 148035478316932562920872750082758113117387966257948491299089636709043304411238660928591183518746621952047399304334901345441884895885259043860383
Fri Nov  5 09:19:33 2010  elapsed time 07:26:54 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.075).
Factorization parameters were as follows:
name: KA_8_5_197_7
n: 8555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557
m: 1000000000000000000000000000000000000000
deg: 5
c5: 77000
c0: 13
skew: 0.18
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4559364 hash collisions in 30920094 relations
Msieve: matrix is 2265957 x 2266181 (644.6 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,199,5,0,0,0,0,0,0,0,0,15000000,15000000,28,28,56,56,2.5,2.5,100000
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.. 5660.90 BogoMIPS (lpj=2830451)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830457)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830458)
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
351e6418118Makoto KamadaOctober 30, 2010 10:00:00 UTC 2010 年 10 月 30 日 (土) 19 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 2, 2010 05:35:27 UTC 2010 年 11 月 2 日 (火) 14 時 35 分 27 秒 (日本時間)
403e6110 / 2126Ignacio SantosNovember 2, 2010 05:35:27 UTC 2010 年 11 月 2 日 (火) 14 時 35 分 27 秒 (日本時間)
4511e632 / 4437Ignacio SantosNovember 2, 2010 05:35:27 UTC 2010 年 11 月 2 日 (火) 14 時 35 分 27 秒 (日本時間)

77×10199+139

c185

name 名前matsui
date 日付April 9, 2011 00:24:07 UTC 2011 年 4 月 9 日 (土) 9 時 24 分 7 秒 (日本時間)
composite number 合成数
17804090326385433671793767847078418281815208316115438929700345704670618617935819018029210281264364489892323576876464816116128276662594181287132800959073931670593398185468537179668643999<185>
prime factors 素因数
39934767454874308239871783427141683304717<41>
445829322694912153059388886993020013432001878065675097785460624518851958872950171809227323501300344463278487008201244517830891308459718541081947<144>
factorization results 素因数分解の結果
N=17804090326385433671793767847078418281815208316115438929700345704670618617935819018029210281264364489892323576876464816116128276662594181287132800959073931670593398185468537179668643999
  ( 185 digits)
SNFS difficulty: 200 digits.
Divisors found:
 r1=39934767454874308239871783427141683304717 (pp41)
 r2=445829322694912153059388886993020013432001878065675097785460624518851958872950171809227323501300344463278487008201244517830891308459718541081947 (pp144)
Version: Msieve v. 1.49
Total time:
Scaled time: 219.95 units (timescale=1.753).
Factorization parameters were as follows:
n: 17804090326385433671793767847078418281815208316115438929700345704670618617935819018029210281264364489892323576876464816116128276662594181287132800959073931670593398185468537179668643999
m: 1000000000000000000000000000000000000000
deg: 5
c5: 770000
c0: 13
skew: 0.11
type: snfs
lss: 1
rlim: 15600000
alim: 15600000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 320000
Factor base limits: 15600000/15600000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [7800000, 20920001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3703743 x 3703971
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,200.000,5,0,0,0,0,0,0,0,0,15600000,15600000,29,29,56,56,2.6,2.6,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 30, 2010 10:00:00 UTC 2010 年 10 月 30 日 (土) 19 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 10, 2010 14:20:04 UTC 2010 年 11 月 10 日 (水) 23 時 20 分 4 秒 (日本時間)
403e6110 / 2126Ignacio SantosNovember 10, 2010 14:20:04 UTC 2010 年 11 月 10 日 (水) 23 時 20 分 4 秒 (日本時間)
4511e632 / 4437Ignacio SantosNovember 10, 2010 14:20:04 UTC 2010 年 11 月 10 日 (水) 23 時 20 分 4 秒 (日本時間)

77×10200+139

c199

name 名前Robert Backstrom
date 日付November 8, 2010 04:46:42 UTC 2010 年 11 月 8 日 (月) 13 時 46 分 42 秒 (日本時間)
composite number 合成数
3253062948880439374735952682720743557245458386142796789184621884241656104773975496408956485002112378538234051542036332910857625686523024926066751161808196028728348119983100971694127587663709336713139<199>
prime factors 素因数
252140655056780191560896990064232487576391223<45>
1456043934962058762987076672475066753276947151<46>
8860844411298575568514998820583873357962630325882339371969977642855889966431954474970794472372660052671650443<109>
factorization results 素因数分解の結果
Number: n
N=3253062948880439374735952682720743557245458386142796789184621884241656104773975496408956485002112378538234051542036332910857625686523024926066751161808196028728348119983100971694127587663709336713139
  ( 199 digits)
SNFS difficulty: 201 digits.
Divisors found:

Mon Nov  8 15:21:20 2010  prp45 factor: 252140655056780191560896990064232487576391223
Mon Nov  8 15:21:20 2010  prp46 factor: 1456043934962058762987076672475066753276947151
Mon Nov  8 15:21:20 2010  prp109 factor: 8860844411298575568514998820583873357962630325882339371969977642855889966431954474970794472372660052671650443
Mon Nov  8 15:21:20 2010  elapsed time 20:13:56 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.084).
Factorization parameters were as follows:
name: KA_8_5_199_7
n: 3253062948880439374735952682720743557245458386142796789184621884241656104773975496408956485002112378538234051542036332910857625686523024926066751161808196028728348119983100971694127587663709336713139
m: 10000000000000000000000000000000000000000
deg: 5
c5: 77
c0: 13
skew: 0.70
type: snfs
lss: 1
rlim: 16200000
alim: 16200000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 16200000/16200000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 19000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4446186 hash collisions in 37105452 relations
Msieve: matrix is 3415559 x 3415787 (984.2 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,201,5,0,0,0,0,0,0,0,0,16200000,16200000,29,29,56,56,2.6,2.6,100000
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.. 5660.90 BogoMIPS (lpj=2830451)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830457)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830458)
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
351e6418118Makoto KamadaOctober 30, 2010 10:00:00 UTC 2010 年 10 月 30 日 (土) 19 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 2, 2010 05:35:58 UTC 2010 年 11 月 2 日 (火) 14 時 35 分 58 秒 (日本時間)
403e6110 / 2126Ignacio SantosNovember 2, 2010 05:35:58 UTC 2010 年 11 月 2 日 (火) 14 時 35 分 58 秒 (日本時間)
4511e632 / 4437Ignacio SantosNovember 2, 2010 05:35:58 UTC 2010 年 11 月 2 日 (火) 14 時 35 分 58 秒 (日本時間)

77×10201+139

c117

name 名前Dmitry Domanov
date 日付May 24, 2012 07:59:37 UTC 2012 年 5 月 24 日 (木) 16 時 59 分 37 秒 (日本時間)
composite number 合成数
200420374122263010382425782445225693619003000394465142505207817989403895047171355872020027426666265129802508857060941<117>
prime factors 素因数
157032126417530947531536789951721269847<39>
1276301726879552920414956196494196038883137873194191504712044521860971896606203<79>
factorization results 素因数分解の結果
Thu May 24 05:01:21 2012  commencing relation filtering
Thu May 24 05:01:21 2012  estimated available RAM is 2006.1 MB
Thu May 24 05:01:21 2012  commencing duplicate removal, pass 1
Thu May 24 05:04:53 2012  found 736141 hash collisions in 9821954 relations
Thu May 24 05:05:42 2012  added 62888 free relations
Thu May 24 05:05:42 2012  commencing duplicate removal, pass 2
Thu May 24 05:05:52 2012  found 461190 duplicates and 9423652 unique relations
Thu May 24 05:05:52 2012  memory use: 32.6 MB
Thu May 24 05:05:52 2012  reading ideals above 100000
Thu May 24 05:05:52 2012  commencing singleton removal, initial pass
Thu May 24 05:10:13 2012  memory use: 344.5 MB
Thu May 24 05:10:13 2012  reading all ideals from disk
Thu May 24 05:10:13 2012  memory use: 328.4 MB
Thu May 24 05:10:17 2012  keeping 10565637 ideals with weight <= 200, target excess is 48575
Thu May 24 05:10:21 2012  commencing in-memory singleton removal
Thu May 24 05:10:24 2012  begin with 9423652 relations and 10565637 unique ideals
Thu May 24 05:10:51 2012  reduce to 3057710 relations and 2957701 ideals in 22 passes
Thu May 24 05:10:51 2012  max relations containing the same ideal: 94
Thu May 24 05:10:57 2012  removing 301897 relations and 280066 ideals in 21831 cliques
Thu May 24 05:10:57 2012  commencing in-memory singleton removal
Thu May 24 05:10:58 2012  begin with 2755813 relations and 2957701 unique ideals
Thu May 24 05:11:06 2012  reduce to 2731440 relations and 2653015 ideals in 9 passes
Thu May 24 05:11:06 2012  max relations containing the same ideal: 88
Thu May 24 05:11:11 2012  removing 216821 relations and 194990 ideals in 21831 cliques
Thu May 24 05:11:11 2012  commencing in-memory singleton removal
Thu May 24 05:11:12 2012  begin with 2514619 relations and 2653015 unique ideals
Thu May 24 05:11:19 2012  reduce to 2500260 relations and 2443529 ideals in 9 passes
Thu May 24 05:11:19 2012  max relations containing the same ideal: 85
Thu May 24 05:11:28 2012  relations with 0 large ideals: 172
Thu May 24 05:11:28 2012  relations with 1 large ideals: 476
Thu May 24 05:11:28 2012  relations with 2 large ideals: 7603
Thu May 24 05:11:28 2012  relations with 3 large ideals: 59338
Thu May 24 05:11:28 2012  relations with 4 large ideals: 245283
Thu May 24 05:11:28 2012  relations with 5 large ideals: 566544
Thu May 24 05:11:28 2012  relations with 6 large ideals: 753501
Thu May 24 05:11:28 2012  relations with 7+ large ideals: 867343
Thu May 24 05:11:28 2012  commencing 2-way merge
Thu May 24 05:11:34 2012  reduce to 1374736 relation sets and 1318008 unique ideals
Thu May 24 05:11:34 2012  ignored 3 oversize relation sets
Thu May 24 05:11:34 2012  commencing full merge
Thu May 24 05:12:34 2012  memory use: 142.1 MB
Thu May 24 05:12:34 2012  found 677823 cycles, need 672208
Thu May 24 05:12:36 2012  weight of 672208 cycles is about 47329535 (70.41/cycle)
Thu May 24 05:12:36 2012  distribution of cycle lengths:
Thu May 24 05:12:36 2012  1 relations: 83498
Thu May 24 05:12:36 2012  2 relations: 80635
Thu May 24 05:12:36 2012  3 relations: 79852
Thu May 24 05:12:36 2012  4 relations: 69228
Thu May 24 05:12:36 2012  5 relations: 59759
Thu May 24 05:12:36 2012  6 relations: 50818
Thu May 24 05:12:36 2012  7 relations: 43598
Thu May 24 05:12:36 2012  8 relations: 36717
Thu May 24 05:12:36 2012  9 relations: 30434
Thu May 24 05:12:36 2012  10+ relations: 137669
Thu May 24 05:12:36 2012  heaviest cycle: 25 relations
Thu May 24 05:12:37 2012  commencing cycle optimization
Thu May 24 05:12:44 2012  start with 4110543 relations
Thu May 24 05:13:01 2012  pruned 73721 relations
Thu May 24 05:13:01 2012  memory use: 141.8 MB
Thu May 24 05:13:01 2012  distribution of cycle lengths:
Thu May 24 05:13:01 2012  1 relations: 83498
Thu May 24 05:13:01 2012  2 relations: 82262
Thu May 24 05:13:01 2012  3 relations: 81967
Thu May 24 05:13:01 2012  4 relations: 70350
Thu May 24 05:13:01 2012  5 relations: 60687
Thu May 24 05:13:01 2012  6 relations: 51024
Thu May 24 05:13:01 2012  7 relations: 43720
Thu May 24 05:13:01 2012  8 relations: 36305
Thu May 24 05:13:01 2012  9 relations: 30152
Thu May 24 05:13:01 2012  10+ relations: 132243
Thu May 24 05:13:01 2012  heaviest cycle: 25 relations
Thu May 24 05:13:04 2012  RelProcTime: 703
Thu May 24 05:13:04 2012  
Thu May 24 05:13:04 2012  commencing linear algebra
Thu May 24 05:13:04 2012  read 672208 cycles
Thu May 24 05:13:11 2012  cycles contain 2423591 unique relations
Thu May 24 05:14:08 2012  read 2423591 relations
Thu May 24 05:14:15 2012  using 20 quadratic characters above 134217594
Thu May 24 05:14:51 2012  building initial matrix
Thu May 24 05:16:15 2012  memory use: 309.2 MB
Thu May 24 05:16:17 2012  read 672208 cycles
Thu May 24 05:16:17 2012  matrix is 672031 x 672208 (205.2 MB) with weight 64762734 (96.34/col)
Thu May 24 05:16:17 2012  sparse part has weight 45718621 (68.01/col)
Thu May 24 05:16:57 2012  filtering completed in 2 passes
Thu May 24 05:16:57 2012  matrix is 670276 x 670453 (205.0 MB) with weight 64688501 (96.48/col)
Thu May 24 05:16:57 2012  sparse part has weight 45697637 (68.16/col)
Thu May 24 05:17:02 2012  matrix starts at (0, 0)
Thu May 24 05:17:02 2012  matrix is 670276 x 670453 (205.0 MB) with weight 64688501 (96.48/col)
Thu May 24 05:17:02 2012  sparse part has weight 45697637 (68.16/col)
Thu May 24 05:17:02 2012  saving the first 48 matrix rows for later
Thu May 24 05:17:03 2012  matrix includes 64 packed rows
Thu May 24 05:17:03 2012  matrix is 670228 x 670453 (197.1 MB) with weight 51483474 (76.79/col)
Thu May 24 05:17:03 2012  sparse part has weight 44966066 (67.07/col)
Thu May 24 05:17:03 2012  using block size 65536 for processor cache size 2048 kB
Thu May 24 05:17:34 2012  commencing Lanczos iteration (8 threads)
Thu May 24 05:17:34 2012  memory use: 187.5 MB
Thu May 24 05:17:44 2012  checkpointing every 740000 dimensions
Thu May 24 05:17:49 2012  linear algebra at 0.5%, ETA 0h54m
Thu May 24 06:12:32 2012  lanczos halted after 10599 iterations (dim = 670227)
Thu May 24 06:12:35 2012  recovered 30 nontrivial dependencies
Thu May 24 06:12:35 2012  BLanczosTime: 3571
Thu May 24 06:12:35 2012  
Thu May 24 06:12:35 2012  commencing square root phase
Thu May 24 06:12:35 2012  reading relations for dependency 1
Thu May 24 06:12:36 2012  read 335819 cycles
Thu May 24 06:12:39 2012  cycles contain 1212384 unique relations
Thu May 24 06:13:10 2012  read 1212384 relations
Thu May 24 06:13:23 2012  multiplying 1212384 relations
Thu May 24 06:16:56 2012  multiply complete, coefficients have about 50.29 million bits
Thu May 24 06:16:57 2012  initial square root is modulo 16578061
Thu May 24 06:21:41 2012  sqrtTime: 546


prp79 = 1276301726879552920414956196494196038883137873194191504712044521860971896606203
prp39 = 157032126417530947531536789951721269847
NFS elapsed time = 30064.1225 seconds.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 22, 2012 00:00:00 UTC 2012 年 5 月 22 日 (火) 9 時 0 分 0 秒 (日本時間)

77×10202+139

c197

name 名前Dmitry Domanov
date 日付May 22, 2012 13:29:06 UTC 2012 年 5 月 22 日 (火) 22 時 29 分 6 秒 (日本時間)
composite number 合成数
41430198428590237420325558499251862085648918238687121132269029199519603397857370031449825043500363213707132725191825854133310648954557367561779555079484911794300463743814592436879613044098895067369<197>
prime factors 素因数
145800568743710916616953996818615797<36>
composite cofactor 合成数の残り
284156631113123296147920102837929124244449520483224742262610864055330308439439619810096214417383418953863010041951218719665272525992793823599171688213367316583077<162>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3369953188
Step 1 took 36075ms
Step 2 took 12392ms
********** Factor found in step 2: 145800568743710916616953996818615797
Found probable prime factor of 36 digits: 145800568743710916616953996818615797

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 22, 2012 00:00:00 UTC 2012 年 5 月 22 日 (火) 9 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 25, 2012 06:51:35 UTC 2012 年 5 月 25 日 (金) 15 時 51 分 35 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMay 25, 2012 22:49:15 UTC 2012 年 5 月 26 日 (土) 7 時 49 分 15 秒 (日本時間)

77×10203+139

c140

name 名前Dmitry Domanov
date 日付May 26, 2012 08:34:55 UTC 2012 年 5 月 26 日 (土) 17 時 34 分 55 秒 (日本時間)
composite number 合成数
11612867879341985018740348744253197892765588723686544699546107235358422010652432487782592239077687241920592870254973101671555945753030858899<140>
prime factors 素因数
2306359032379852036707086309340815333<37>
5035151819948461668999821727182678403592046251218427451495898783249787344237805756169549236167914561303<103>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3333869779
Step 1 took 153465ms
Step 2 took 40169ms
********** Factor found in step 2: 2306359032379852036707086309340815333
Found probable prime factor of 37 digits: 2306359032379852036707086309340815333

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 22, 2012 00:00:00 UTC 2012 年 5 月 22 日 (火) 9 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 25, 2012 06:51:45 UTC 2012 年 5 月 25 日 (金) 15 時 51 分 45 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMay 25, 2012 22:45:27 UTC 2012 年 5 月 26 日 (土) 7 時 45 分 27 秒 (日本時間)

77×10204+139

c189

composite cofactor 合成数の残り
197364871120598054661284302419813882114863809217417318037328350887367992169515965219455881805474763447111388123535191660045340222050180507625063283275764113629422439143013330100788652032419<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 22, 2012 00:00:00 UTC 2012 年 5 月 22 日 (火) 9 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 25, 2012 06:51:53 UTC 2012 年 5 月 25 日 (金) 15 時 51 分 53 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMay 25, 2012 22:49:29 UTC 2012 年 5 月 26 日 (土) 7 時 49 分 29 秒 (日本時間)

77×10205+139

c193

name 名前Serge Batalov
date 日付May 22, 2012 05:34:20 UTC 2012 年 5 月 22 日 (火) 14 時 34 分 20 秒 (日本時間)
composite number 合成数
2572803944417144815761697347107431689548642485181081200119462156062046656812603950742889386320157788177520855760124881186045632380107467753606515172008937522171661081108133897413419338151865687<193>
prime factors 素因数
302679826008410907539363501993<30>
8500083994186158264838483021051097290994471844551623950169332642068446131158931561964878063024104350454763586286226325904052347855327272893517197858752577184021759<163>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=509791514
Step 1 took 8888ms
Step 2 took 6601ms
********** Factor found in step 2: 302679826008410907539363501993
Found probable prime factor of 30 digits: 302679826008410907539363501993
Probable prime cofactor 8500083994186158264838483021051097290994471844551623950169332642068446131158931561964878063024104350454763586286226325904052347855327272893517197858752577184021759 has 163 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 22, 2012 00:00:00 UTC 2012 年 5 月 22 日 (火) 9 時 0 分 0 秒 (日本時間)

77×10207+139

c208

name 名前Serge Batalov
date 日付May 23, 2012 03:33:22 UTC 2012 年 5 月 23 日 (水) 12 時 33 分 22 秒 (日本時間)
composite number 合成数
8555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557<208>
prime factors 素因数
75880648335032462165916772291560438317<38>
112750164149633915236101110051859571579721059632867431111638290505740076242052025878053307249225457817022669532323558423362293596433836833445512322493357284621439555437721<171>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=4046398345
Step 1 took 61252ms
Step 2 took 32722ms
********** Factor found in step 2: 75880648335032462165916772291560438317
Found probable prime factor of 38 digits: 75880648335032462165916772291560438317
Probable prime cofactor 112750164149633915236101110051859571579721059632867431111638290505740076242052025878053307249225457817022669532323558423362293596433836833445512322493357284621439555437721 has 171 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 22, 2012 00:00:00 UTC 2012 年 5 月 22 日 (火) 9 時 0 分 0 秒 (日本時間)
403e60 / 938--
4511e6400 / 4475200Serge BatalovMay 23, 2012 01:50:13 UTC 2012 年 5 月 23 日 (水) 10 時 50 分 13 秒 (日本時間)
200Serge BatalovMay 23, 2012 03:10:23 UTC 2012 年 5 月 23 日 (水) 12 時 10 分 23 秒 (日本時間)

77×10208+139

c197

composite cofactor 合成数の残り
86485225716768103025155853519491824946428775722625800708612237889347360512800877912795809099145981372801468106322200024131547046902972279410692488836917500605577054185325936583495641018396048469823<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 22, 2012 00:00:00 UTC 2012 年 5 月 22 日 (火) 9 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 25, 2012 06:52:02 UTC 2012 年 5 月 25 日 (金) 15 時 52 分 2 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMay 25, 2012 22:49:43 UTC 2012 年 5 月 26 日 (土) 7 時 49 分 43 秒 (日本時間)

77×10210+139

c196

name 名前Serge Batalov
date 日付May 22, 2012 09:06:11 UTC 2012 年 5 月 22 日 (火) 18 時 6 分 11 秒 (日本時間)
composite number 合成数
4141724300583530671685498893203860802963218745520078590304558447246744963904888362145460707172551205073407014142553393518586313843316740230796857851779319588011765657431243280574703625337349628791<196>
prime factors 素因数
71223047180715973093317959885922301<35>
58151461704167650718706656397772119635642384185799696560234709600263089464436992298216395401046792010307555810598458564035912493039784214161011269606395500079491<161>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=3346011765
Step 1 took 10016ms
Step 2 took 6961ms
********** Factor found in step 2: 71223047180715973093317959885922301
Found probable prime factor of 35 digits: 71223047180715973093317959885922301
Probable prime cofactor 58151461704167650718706656397772119635642384185799696560234709600263089464436992298216395401046792010307555810598458564035912493039784214161011269606395500079491 has 161 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 22, 2012 00:00:00 UTC 2012 年 5 月 22 日 (火) 9 時 0 分 0 秒 (日本時間)

77×10211+139

c188

name 名前Serge Batalov
date 日付May 22, 2012 07:17:06 UTC 2012 年 5 月 22 日 (火) 16 時 17 分 6 秒 (日本時間)
composite number 合成数
43246654262034053650553660678333800713123989844319139465931977402761520960710658788566175550091189575075248795416156731792072694871210133005428163187016414275539506865324451063754486310483<188>
prime factors 素因数
89842328272925107713772656302460857<35>
composite cofactor 合成数の残り
481361682108887079503359066707186636279434167386018648946779355880830134818112250197413494710037013177556332173828033789466916535665301374544307878720619<153>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=2326702266
Step 1 took 8601ms
Step 2 took 6468ms
********** Factor found in step 2: 89842328272925107713772656302460857
Found probable prime factor of 35 digits: 89842328272925107713772656302460857
Composite cofactor 481361682108887079503359066707186636279434167386018648946779355880830134818112250197413494710037013177556332173828033789466916535665301374544307878720619 has 153 digits

c153

name 名前Dmitry Domanov
date 日付May 22, 2012 14:18:27 UTC 2012 年 5 月 22 日 (火) 23 時 18 分 27 秒 (日本時間)
composite number 合成数
481361682108887079503359066707186636279434167386018648946779355880830134818112250197413494710037013177556332173828033789466916535665301374544307878720619<153>
prime factors 素因数
9984602247085691190144750648351793<34>
48210401395747845340323378636507410206845604614757741637673041175813457903840780974211488835962125518240684573955022683<119>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2178403125
Step 1 took 16591ms
Step 2 took 7408ms
********** Factor found in step 2: 9984602247085691190144750648351793
Found probable prime factor of 34 digits: 9984602247085691190144750648351793

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 22, 2012 00:00:00 UTC 2012 年 5 月 22 日 (火) 9 時 0 分 0 秒 (日本時間)

77×10212+139

c187

composite cofactor 合成数の残り
6789314458338515888639776950775949088988499517736732115709024017155258862167755699179781437968736728999798279121856659177858179254891629969392860901955397563743135702249463399823382409873<187>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 22, 2012 00:00:00 UTC 2012 年 5 月 22 日 (火) 9 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 25, 2012 06:52:12 UTC 2012 年 5 月 25 日 (金) 15 時 52 分 12 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMay 25, 2012 22:49:56 UTC 2012 年 5 月 26 日 (土) 7 時 49 分 56 秒 (日本時間)

77×10213+139

c180

name 名前Dmitry Domanov
date 日付May 22, 2012 10:06:26 UTC 2012 年 5 月 22 日 (火) 19 時 6 分 26 秒 (日本時間)
composite number 合成数
281072302406068986027591714564631782294877886855824437438780977152107219110550826844764662907746412058094189379441235388093660356625972802799471925921146841427239790014047231683103<180>
prime factors 素因数
2143812194728112535693293683921813<34>
composite cofactor 合成数の残り
131108640531693487194876842543037359101419326711386466633661983414534408013006573073054740091191747299954978294693718531764918731477032505644751331<147>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4108681378
Step 1 took 23270ms
********** Factor found in step 1: 2143812194728112535693293683921813
Found probable prime factor of 34 digits: 2143812194728112535693293683921813

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 22, 2012 00:00:00 UTC 2012 年 5 月 22 日 (火) 9 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 25, 2012 06:52:21 UTC 2012 年 5 月 25 日 (金) 15 時 52 分 21 秒 (日本時間)
4511e64400400Dmitry DomanovMay 25, 2012 22:50:09 UTC 2012 年 5 月 26 日 (土) 7 時 50 分 9 秒 (日本時間)
4000Wataru SakaiMay 28, 2012 01:47:35 UTC 2012 年 5 月 28 日 (月) 10 時 47 分 35 秒 (日本時間)
5043e6600 / 6527Dmitry DomanovMay 26, 2012 16:50:35 UTC 2012 年 5 月 27 日 (日) 1 時 50 分 35 秒 (日本時間)

77×10214+139

c133

name 名前Erik Branger
date 日付May 31, 2012 09:04:16 UTC 2012 年 5 月 31 日 (木) 18 時 4 分 16 秒 (日本時間)
composite number 合成数
6435400694362727147958014230196354585147379852229538322502973682931879014797107931984497377754674195713734729282818089546049697515773<133>
prime factors 素因数
64147667587912746799071237411687117575815382152605047507055379<62>
100321663068157142022122305046382410018673681359700538661684884900218287<72>
factorization results 素因数分解の結果
Number: 85557_214
N = 6435400694362727147958014230196354585147379852229538322502973682931879014797107931984497377754674195713734729282818089546049697515773 (133 digits)
Divisors found:
r1=64147667587912746799071237411687117575815382152605047507055379 (pp62)
r2=100321663068157142022122305046382410018673681359700538661684884900218287 (pp72)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 122.10 hours.
Factorization parameters were as follows:
n: 6435400694362727147958014230196354585147379852229538322502973682931879014797107931984497377754674195713734729282818089546049697515773
Y0: -61095743511953451485844167
Y1: 321092935503451
c0: 123814316842834429029181013149680
c1: 4401236628854327052977439108
c2: 3169428850774700099790
c3: -18037408726372759
c4: -3227088536
c5: 7560
skew: 817486.45 
type: gnfs
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [4200000, 10800000)
Relations: 21399582
Relations in full relation-set: 2835336 relations
Pruned matrix : 1636710 x 1636946
Polynomial selection time: 0.00 hours.
Total sieving time: 119.23 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 2.16 hours.
time per square root: 0.63 hours.
Prototype def-par.txt line would be: gnfs,132,5,65,2000,1e-05,0.28,250,20,50000,3600,8400000,8400000,28,28,55,55,2.5,2.5,100000
total time: 122.10 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 22, 2012 00:00:00 UTC 2012 年 5 月 22 日 (火) 9 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 25, 2012 06:52:29 UTC 2012 年 5 月 25 日 (金) 15 時 52 分 29 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMay 25, 2012 22:46:33 UTC 2012 年 5 月 26 日 (土) 7 時 46 分 33 秒 (日本時間)

77×10215+139

c119

name 名前Dmitry Domanov
date 日付May 29, 2012 12:59:55 UTC 2012 年 5 月 29 日 (火) 21 時 59 分 55 秒 (日本時間)
composite number 合成数
86945772593184037533906323585302262196363598061481271021375291918378608913909486442573215056536398487221471490650129703<119>
prime factors 素因数
2067536815347865145709083161824681709<37>
42052829215790928477989893909877148522072619671862109642129500110501728877279632867<83>
factorization results 素因数分解の結果
N=86945772593184037533906323585302262196363598061481271021375291918378608913909486442573215056536398487221471490650129703
  ( 119 digits)
Divisors found:
 r1=2067536815347865145709083161824681709 (pp37)
 r2=42052829215790928477989893909877148522072619671862109642129500110501728877279632867 (pp83)
Version: Msieve-1.40
Total time: 33.77 hours.
Scaled time: 65.89 units (timescale=1.951).
Factorization parameters were as follows:
n: 86945772593184037533906323585302262196363598061481271021375291918378608913909486442573215056536398487221471490650129703
skew: 116934.09
c0: 5370360614013111966251598792
c1: 1613128816244780321849822
c2: -13627175843713317191
c3: -284945545631788
c4: 876464224
c5: 6636
Y0: -105552470804336936793829
Y1: 136698261737
rlim: 4900000
alim: 4900000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.500000
alambda: 2.500000
type: gnfs
qintsize: 200000Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2450000, 4050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 695421 x 695645
Total sieving time: 32.97 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.59 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
gnfs,118,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4900000,4900000,27,27,54,54,2.500000,2.500000,100000
total time: 33.77 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
3025e40--
351e6118 / 904Makoto KamadaMay 22, 2012 00:00:00 UTC 2012 年 5 月 22 日 (火) 9 時 0 分 0 秒 (日本時間)

77×10216+139

c198

composite cofactor 合成数の残り
134717567626994856682679192294054089467086531825181082168552943093751325306554251870803537053475070655151499506919657862372532716013565503207662532093746899847120691693835238842482073016906792518461<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 22, 2012 00:00:00 UTC 2012 年 5 月 22 日 (火) 9 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 25, 2012 06:52:41 UTC 2012 年 5 月 25 日 (金) 15 時 52 分 41 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMay 25, 2012 22:50:22 UTC 2012 年 5 月 26 日 (土) 7 時 50 分 22 秒 (日本時間)

77×10217+139

c198

composite cofactor 合成数の残り
127025752533821444668234630164230293197622381462414176587536917853173156367453688402964732133111408719172361663101402422633774103112291028635422105847240649844895026875922570220146901179470104755499<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 22, 2012 00:00:00 UTC 2012 年 5 月 22 日 (火) 9 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 25, 2012 06:52:49 UTC 2012 年 5 月 25 日 (金) 15 時 52 分 49 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMay 25, 2012 22:50:33 UTC 2012 年 5 月 26 日 (土) 7 時 50 分 33 秒 (日本時間)

77×10219+139

c198

name 名前Serge Batalov
date 日付May 22, 2012 09:05:46 UTC 2012 年 5 月 22 日 (火) 18 時 5 分 46 秒 (日本時間)
composite number 合成数
818951994847937244595219995829163348759982726103051650064260311776289092277012985278737930403583117424541060107152358663349395207277540873888228323116111697940619986468415208871603050545078876150809<198>
prime factors 素因数
995648997694361577693779612589173<33>
822530828378671525845402084528939090692985660555164960912433119680633978105084174175356948448851433727565491574138819363005802299820379199177137032519071393998019733<165>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=826843999
Step 1 took 10017ms
Step 2 took 6924ms
********** Factor found in step 2: 995648997694361577693779612589173
Found probable prime factor of 33 digits: 995648997694361577693779612589173
Probable prime cofactor 822530828378671525845402084528939090692985660555164960912433119680633978105084174175356948448851433727565491574138819363005802299820379199177137032519071393998019733 has 165 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 22, 2012 00:00:00 UTC 2012 年 5 月 22 日 (火) 9 時 0 分 0 秒 (日本時間)

77×10220+139

c220

composite cofactor 合成数の残り
1500974658869395711500974658869395711500974658869395711500974658869395711500974658869395711500974658869395711500974658869395711500974658869395711500974658869395711500974658869395711500974658869395711500974658869395711501<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 22, 2012 00:00:00 UTC 2012 年 5 月 22 日 (火) 9 時 0 分 0 秒 (日本時間)
403e60--
4511e64850200Serge BatalovMay 23, 2012 01:50:36 UTC 2012 年 5 月 23 日 (水) 10 時 50 分 36 秒 (日本時間)
200Serge BatalovMay 23, 2012 03:10:50 UTC 2012 年 5 月 23 日 (水) 12 時 10 分 50 秒 (日本時間)
800Serge BatalovMay 23, 2012 06:36:23 UTC 2012 年 5 月 23 日 (水) 15 時 36 分 23 秒 (日本時間)
800Serge BatalovMay 23, 2012 07:35:24 UTC 2012 年 5 月 23 日 (水) 16 時 35 分 24 秒 (日本時間)
2000Serge BatalovMay 23, 2012 07:45:34 UTC 2012 年 5 月 23 日 (水) 16 時 45 分 34 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:15:15 UTC 2013 年 11 月 9 日 (土) 2 時 15 分 15 秒 (日本時間)

77×10221+139

c205

name 名前Serge Batalov
date 日付May 22, 2012 07:09:10 UTC 2012 年 5 月 22 日 (火) 16 時 9 分 10 秒 (日本時間)
composite number 合成数
5484467091508476792023156753782185406363216187712502084953141074977783850331310633357599107248847082079464549124135561708394802110949452832738615634529538249910322299239383763441072893467574313882792610021<205>
prime factors 素因数
213520405263893891357211214752497<33>
composite cofactor 合成数の残り
25685915520486768429693247040025892211188062075599078153695747895436163470114175304832439574412288688506839744804836708566000208211094983620288041563348450816450204740957493<173>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=1344980222
Step 1 took 10180ms
Step 2 took 7229ms
********** Factor found in step 2: 213520405263893891357211214752497
Found probable prime factor of 33 digits: 213520405263893891357211214752497
Composite cofactor 25685915520486768429693247040025892211188062075599078153695747895436163470114175304832439574412288688506839744804836708566000208211094983620288041563348450816450204740957493 has 173 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 22, 2012 00:00:00 UTC 2012 年 5 月 22 日 (火) 9 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 25, 2012 07:13:01 UTC 2012 年 5 月 25 日 (金) 16 時 13 分 1 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMay 25, 2012 22:50:46 UTC 2012 年 5 月 26 日 (土) 7 時 50 分 46 秒 (日本時間)

77×10222+139

c175

composite cofactor 合成数の残り
4560731663417937947028030622298650965540096170569297234193216624009332861749094848625486217797797282990344293017084831335129117070826264353147549543713830468346672360033022293<175>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 22, 2012 00:00:00 UTC 2012 年 5 月 22 日 (火) 9 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 25, 2012 07:13:09 UTC 2012 年 5 月 25 日 (金) 16 時 13 分 9 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMay 25, 2012 22:50:58 UTC 2012 年 5 月 26 日 (土) 7 時 50 分 58 秒 (日本時間)

77×10223+139

c216

composite cofactor 合成数の残り
156487261648416535894072673521211529143398161650610873439782346070573958854840469759208292882366944491082221095396064831862018861757983063470247861309781800476720070600923032633961459402258822857135794022075356813571<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 22, 2012 00:00:00 UTC 2012 年 5 月 22 日 (火) 9 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 25, 2012 07:13:18 UTC 2012 年 5 月 25 日 (金) 16 時 13 分 18 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMay 26, 2012 16:38:33 UTC 2012 年 5 月 27 日 (日) 1 時 38 分 33 秒 (日本時間)

77×10226+139

c182

composite cofactor 合成数の残り
26788588224693801841767933213123360052042440471344528923854936724872538975173417491020253358726598775388456479053212380189441698293138242684327659421486414630816784203445920658706357<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 22, 2012 00:00:00 UTC 2012 年 5 月 22 日 (火) 9 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 25, 2012 07:13:27 UTC 2012 年 5 月 25 日 (金) 16 時 13 分 27 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMay 25, 2012 22:51:13 UTC 2012 年 5 月 26 日 (土) 7 時 51 分 13 秒 (日本時間)

77×10227+139

c216

composite cofactor 合成数の残り
123902440754363469166406305468486266335521304371831053128765276860315740861075312423009724041479923206225247634064449480981342339509603071885401303204018148369720053199796739212743015170923696274942254722763427951449<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 22, 2012 00:00:00 UTC 2012 年 5 月 22 日 (火) 9 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 25, 2012 07:13:36 UTC 2012 年 5 月 25 日 (金) 16 時 13 分 36 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMay 26, 2012 16:38:47 UTC 2012 年 5 月 27 日 (日) 1 時 38 分 47 秒 (日本時間)

77×10228+139

c199

composite cofactor 合成数の残り
2069622863996959938923104366518073047990539623244058549606961082002630093619327608370519109133374417538750497804272160157498241335950542113973698167767258547904255018517757347951517642776455179089927<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 22, 2012 00:00:00 UTC 2012 年 5 月 22 日 (火) 9 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 25, 2012 07:13:44 UTC 2012 年 5 月 25 日 (金) 16 時 13 分 44 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMay 26, 2012 16:38:59 UTC 2012 年 5 月 27 日 (日) 1 時 38 分 59 秒 (日本時間)

77×10229+139

c207

composite cofactor 合成数の残り
474621338024856190759030492525836196378599552157850520129887661234235417023932156736519573936020765193020049244386949853608461405863065988284068975601495809024089892637917307648257978418215284670195893953309<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 22, 2012 00:00:00 UTC 2012 年 5 月 22 日 (火) 9 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 25, 2012 07:13:53 UTC 2012 年 5 月 25 日 (金) 16 時 13 分 53 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMay 26, 2012 16:39:09 UTC 2012 年 5 月 27 日 (日) 1 時 39 分 9 秒 (日本時間)

77×10231+139

c205

composite cofactor 合成数の残り
5422768183878552657946800642754492856357848183736910083283950592404783906152662011624029101726387615149007677292839555046389075785341395575727356432024827611394460012770640676963981600784380359452659898461<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 22, 2012 00:00:00 UTC 2012 年 5 月 22 日 (火) 9 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 25, 2012 07:14:00 UTC 2012 年 5 月 25 日 (金) 16 時 14 分 0 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMay 26, 2012 16:39:19 UTC 2012 年 5 月 27 日 (日) 1 時 39 分 19 秒 (日本時間)

77×10232+139

c219

name 名前Serge Batalov
date 日付May 22, 2012 09:05:18 UTC 2012 年 5 月 22 日 (火) 18 時 5 分 18 秒 (日本時間)
composite number 合成数
173412528538152287763986246408883603558624813662707538202880037464506486620578951585916007336328662539268146847802983417777665780963693227444311205567112168953368214087588608180765968686947446508464795301157547301303967<219>
prime factors 素因数
14447353490334348942293375883081533<35>
composite cofactor 合成数の残り
12003065381778727111999963462845608560236877958244201143520987169507550506745365418566600435084429734955202318485273091970181344602306652139819736148379353499412791027939485232326943499<185>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=214671544
Step 1 took 11373ms
Step 2 took 7612ms
********** Factor found in step 2: 14447353490334348942293375883081533
Found probable prime factor of 35 digits: 14447353490334348942293375883081533
Composite cofactor 12003065381778727111999963462845608560236877958244201143520987169507550506745365418566600435084429734955202318485273091970181344602306652139819736148379353499412791027939485232326943499 has 185 digits

c185

name 名前Dmitry Domanov
date 日付May 22, 2012 14:17:25 UTC 2012 年 5 月 22 日 (火) 23 時 17 分 25 秒 (日本時間)
composite number 合成数
12003065381778727111999963462845608560236877958244201143520987169507550506745365418566600435084429734955202318485273091970181344602306652139819736148379353499412791027939485232326943499<185>
prime factors 素因数
5340656880390025586656582881569599<34>
2247488586254608638636608246419093674699672442862419602977801368541030875897145360349709929176492826598474229904761219229050593542274696057957857186101<151>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3459743068
Step 1 took 42644ms
Step 2 took 14080ms
********** Factor found in step 2: 5340656880390025586656582881569599
Found probable prime factor of 34 digits: 5340656880390025586656582881569599

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 22, 2012 00:00:00 UTC 2012 年 5 月 22 日 (火) 9 時 0 分 0 秒 (日本時間)

77×10233+139

c179

name 名前Dmitry Domanov
date 日付May 22, 2012 10:07:20 UTC 2012 年 5 月 22 日 (火) 19 時 7 分 20 秒 (日本時間)
composite number 合成数
32015202569516389260290381620619210395643708555487337901531018149629770573911015013777273446498504602062061134684967638331694639757881859530536801649170245286569686851070206232543<179>
prime factors 素因数
5251977689296395830716923206069<31>
6095837504177487460633483165247997178991557421907803617752249654248566465131420771458898120736751611470426575554084006575147456764837944765671671747<148>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1350085351
Step 1 took 23550ms
Step 2 took 8950ms
********** Factor found in step 2: 5251977689296395830716923206069
Found probable prime factor of 31 digits: 5251977689296395830716923206069

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 22, 2012 00:00:00 UTC 2012 年 5 月 22 日 (火) 9 時 0 分 0 秒 (日本時間)

77×10235+139

c197

composite cofactor 合成数の残り
10728032484491175308749298423506475854810371861599945594133366080684313281611131818970928158630053890708757882238533933975058861741406429112661297420075387093231719816058034855447246696575891303463<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 22, 2012 00:00:00 UTC 2012 年 5 月 22 日 (火) 9 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 25, 2012 07:14:10 UTC 2012 年 5 月 25 日 (金) 16 時 14 分 10 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMay 25, 2012 22:52:07 UTC 2012 年 5 月 26 日 (土) 7 時 52 分 7 秒 (日本時間)

77×10236+139

c208

composite cofactor 合成数の残り
1949937388496319260681420368483141326886485578545636247022061784734148534584161930898021036963065388605453895275219827344857486220580039083545373725397807003599019488907236652093471567753160464870783441609301<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 22, 2012 00:00:00 UTC 2012 年 5 月 22 日 (火) 9 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 25, 2012 07:14:18 UTC 2012 年 5 月 25 日 (金) 16 時 14 分 18 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMay 26, 2012 16:39:32 UTC 2012 年 5 月 27 日 (日) 1 時 39 分 32 秒 (日本時間)

77×10238+139

c228

composite cofactor 合成数の残り
330302832942138927127045260812917658740908750686294823404554450675602227452336481408759343765217142306707957138447254040551745024041988066803008288389013439024930732929082229142313321445182066512602279077424843617846192647591981<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 22, 2012 00:00:00 UTC 2012 年 5 月 22 日 (火) 9 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 25, 2012 07:14:25 UTC 2012 年 5 月 25 日 (金) 16 時 14 分 25 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMay 26, 2012 16:39:44 UTC 2012 年 5 月 27 日 (日) 1 時 39 分 44 秒 (日本時間)

77×10239+139

c240

name 名前Serge Batalov
date 日付May 23, 2012 05:09:58 UTC 2012 年 5 月 23 日 (水) 14 時 9 分 58 秒 (日本時間)
composite number 合成数
855555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557<240>
prime factors 素因数
52387044680163776579287191418292933952641<41>
composite cofactor 合成数の残り
16331433864592661904331679366380910910904527790726139160203496230412650560109701638351183746147845930156669410643442038622340578147623996497852746440413406714224220081657989741886731920177689065714277<200>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=3429632087
Step 1 took 82073ms
Step 2 took 40403ms
********** Factor found in step 2: 52387044680163776579287191418292933952641
Found probable prime factor of 41 digits: 52387044680163776579287191418292933952641
Composite cofactor 16331433864592661904331679366380910910904527790726139160203496230412650560109701638351183746147845930156669410643442038622340578147623996497852746440413406714224220081657989741886731920177689065714277 has 200 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 22, 2012 00:00:00 UTC 2012 年 5 月 22 日 (火) 9 時 0 分 0 秒 (日本時間)
403e60--
4511e63200 / 4475200Serge BatalovMay 23, 2012 01:50:49 UTC 2012 年 5 月 23 日 (水) 10 時 50 分 49 秒 (日本時間)
3000Serge BatalovMay 24, 2012 04:27:32 UTC 2012 年 5 月 24 日 (木) 13 時 27 分 32 秒 (日本時間)

77×10241+139

c228

composite cofactor 合成数の残り
136619665891378273707423660234772808876035723678155809988728270682377624558929411177198131481285159903227114838480891783675796751976421607046502972881330961045113415769907128129325258670998633884823729329197786312530567387657949<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 22, 2012 00:00:00 UTC 2012 年 5 月 22 日 (火) 9 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 25, 2012 07:14:42 UTC 2012 年 5 月 25 日 (金) 16 時 14 分 42 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMay 26, 2012 16:39:57 UTC 2012 年 5 月 27 日 (日) 1 時 39 分 57 秒 (日本時間)

77×10243+139

c170

composite cofactor 合成数の残り
32279551486731155616819673993126150026545250837118534061726195024398114273009755087211764460004164900524691056113396839708656643016169220374035717151597726074038836692723<170>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 22, 2012 00:00:00 UTC 2012 年 5 月 22 日 (火) 9 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 25, 2012 07:14:50 UTC 2012 年 5 月 25 日 (金) 16 時 14 分 50 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMay 25, 2012 22:51:36 UTC 2012 年 5 月 26 日 (土) 7 時 51 分 36 秒 (日本時間)

77×10244+139

c234

composite cofactor 合成数の残り
834654037073471054804708105454512180056148817136596258769927442331142845762790986194081822551961387974991038800370087327013457410445971878972756168336643483513555692859572155524954870248600574289623678056110705122764691221906196395633<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 22, 2012 00:00:00 UTC 2012 年 5 月 22 日 (火) 9 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 25, 2012 07:14:59 UTC 2012 年 5 月 25 日 (金) 16 時 14 分 59 秒 (日本時間)
4511e62400Dmitry DomanovMay 25, 2012 23:01:45 UTC 2012 年 5 月 26 日 (土) 8 時 1 分 45 秒 (日本時間)
5043e6550 / 6976Dmitry DomanovMay 31, 2012 22:14:26 UTC 2012 年 6 月 1 日 (金) 7 時 14 分 26 秒 (日本時間)

77×10247+139

c226

name 名前Serge Batalov
date 日付May 22, 2012 07:18:00 UTC 2012 年 5 月 22 日 (火) 16 時 18 分 0 秒 (日本時間)
composite number 合成数
2348925280627404700075090247923230319413922134937001018396278008416774598241634730432114894989609858425754447665509672971325989087752151119786374216495758302505173296286174524859428910806982027562650040403506918759532378292349<226>
prime factors 素因数
767477558168904351280348313747<30>
composite cofactor 合成数の残り
3060578456823697353353326476777253255502060828462839235093139904754130382619765729750452251312913426393035596351851344576429994037434517044657121583848941569251881377706623841525290272925091617967<196>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=3648428226
Step 1 took 11353ms
Step 2 took 7816ms
********** Factor found in step 2: 767477558168904351280348313747
Found probable prime factor of 30 digits: 767477558168904351280348313747
Composite cofactor 3060578456823697353353326476777253255502060828462839235093139904754130382619765729750452251312913426393035596351851344576429994037434517044657121583848941569251881377706623841525290272925091617967 has 196 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 22, 2012 00:00:00 UTC 2012 年 5 月 22 日 (火) 9 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 25, 2012 07:15:09 UTC 2012 年 5 月 25 日 (金) 16 時 15 分 9 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMay 25, 2012 22:51:49 UTC 2012 年 5 月 26 日 (土) 7 時 51 分 49 秒 (日本時間)

77×10248+139

c212

composite cofactor 合成数の残り
46652612315751572957460840680494036415157929389777799813454742452678013078725494715140476326256311030657706268998953459289321244671396449415203575767463171258999378018619882966033611240180114980538732008737726563<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 22, 2012 00:00:00 UTC 2012 年 5 月 22 日 (火) 9 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 25, 2012 07:15:17 UTC 2012 年 5 月 25 日 (金) 16 時 15 分 17 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMay 26, 2012 16:40:18 UTC 2012 年 5 月 27 日 (日) 1 時 40 分 18 秒 (日本時間)