Table of contents 目次

88×10108-619

c95

name 名前Erik Branger
date 日付October 14, 2010 18:26:39 UTC 2010 年 10 月 15 日 (金) 3 時 26 分 39 秒 (日本時間)
composite number 合成数
62882457118809252943996193179163864743510473783239092848341034151034645192358155258079053158403<95>
prime factors 素因数
792887417624472042116634870008416717<36>
79308178842348197519401066582095348182956891081652866521359<59>
factorization results 素因数分解の結果
Number: 97771_108
N = 62882457118809252943996193179163864743510473783239092848341034151034645192358155258079053158403 (95 digits)
SNFS difficulty: 110 digits.
Divisors found:
r1=792887417624472042116634870008416717 (pp36)
r2=79308178842348197519401066582095348182956891081652866521359 (pp59)
Version: Msieve v. 1.45
Total time: 0.95 hours.
Factorization parameters were as follows:
n: 62882457118809252943996193179163864743510473783239092848341034151034645192358155258079053158403
m: 2000000000000000000000
deg: 5
c5: 2750
c0: -61
skew: 0.47
type: snfs
lss: 1
rlim: 480000
alim: 480000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 480000/480000
Large primes per side: 3
Large prime bits: 25/25
Sieved rational special-q in [240000, 540000)
Relations: 1126302
Relations in full relation-set: 101750 relations
Pruned matrix : 63507 x 63741
Polynomial selection time: 0.00 hours.
Total sieving time: 0.90 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
time per square root: 0.01 hours.
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 14, 2010 05:00:00 UTC 2010 年 10 月 14 日 (木) 14 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 14, 2010 16:19:19 UTC 2010 年 10 月 15 日 (金) 1 時 19 分 19 秒 (日本時間)
403e6110 / 2126Ignacio SantosOctober 14, 2010 16:19:19 UTC 2010 年 10 月 15 日 (金) 1 時 19 分 19 秒 (日本時間)
4511e632 / 4437Ignacio SantosOctober 14, 2010 16:19:19 UTC 2010 年 10 月 15 日 (金) 1 時 19 分 19 秒 (日本時間)

88×10116-619

c93

name 名前Sinkiti Sibata
date 日付October 14, 2010 22:22:43 UTC 2010 年 10 月 15 日 (金) 7 時 22 分 43 秒 (日本時間)
composite number 合成数
389326764327074907795506081360002098263594999553175817238273145848470046454333459936472340737<93>
prime factors 素因数
533341047191911447523514088063059454133<39>
729977125100187424836393257642379890831306349368351389<54>
factorization results 素因数分解の結果
Number: 97771_116
N=389326764327074907795506081360002098263594999553175817238273145848470046454333459936472340737
  ( 93 digits)
SNFS difficulty: 117 digits.
Divisors found:
 r1=533341047191911447523514088063059454133 (pp39)
 r2=729977125100187424836393257642379890831306349368351389 (pp54)
Version: Msieve-1.40
Total time: 1.40 hours.
Scaled time: 2.80 units (timescale=1.994).
Factorization parameters were as follows:
name: 97771_116
n: 389326764327074907795506081360002098263594999553175817238273145848470046454333459936472340737
m: 100000000000000000000000
deg: 5
c5: 880
c0: -61
skew: 0.59
type: snfs
lss: 1
rlim: 650000
alim: 650000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 650000/650000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [325000, 525001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 74263 x 74511
Total sieving time: 1.33 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,117.000,5,0,0,0,0,0,0,0,0,650000,650000,25,25,45,45,2.2,2.2,50000
total time: 1.40 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 14, 2010 05:00:00 UTC 2010 年 10 月 14 日 (木) 14 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 14, 2010 16:24:50 UTC 2010 年 10 月 15 日 (金) 1 時 24 分 50 秒 (日本時間)
403e6110 / 2126Ignacio SantosOctober 14, 2010 16:24:50 UTC 2010 年 10 月 15 日 (金) 1 時 24 分 50 秒 (日本時間)
4511e632 / 4437Ignacio SantosOctober 14, 2010 16:24:50 UTC 2010 年 10 月 15 日 (金) 1 時 24 分 50 秒 (日本時間)

88×10117-619

c118

name 名前Serge Batalov
date 日付October 14, 2010 20:16:25 UTC 2010 年 10 月 15 日 (金) 5 時 16 分 25 秒 (日本時間)
composite number 合成数
3259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259257<118>
prime factors 素因数
15455753796738547857441578590378578111435963424232285387459<59>
210876758398352833153523815376820529296662468340148324290323<60>
factorization results 素因数分解の結果
Divisors found:
 r1=15455753796738547857441578590378578111435963424232285387459 (pp59)
 r2=210876758398352833153523815376820529296662468340148324290323 (pp60)
Version: Msieve v. 1.46
Total time: 0.44 hours.
Scaled time: 1.33 units (timescale=3.000).
Factorization parameters were as follows:
n: 3259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259257
m: 200000000000000000000000
deg: 5
c5: 275
c0: -61
skew: 0.74
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, 585001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 82515 x 82753
Total sieving time: 0.41 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 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: 0.44 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 14, 2010 05:00:00 UTC 2010 年 10 月 14 日 (木) 14 時 0 分 0 秒 (日本時間)

88×10123-619

c99

name 名前Sinkiti Sibata
date 日付October 15, 2010 04:39:37 UTC 2010 年 10 月 15 日 (金) 13 時 39 分 37 秒 (日本時間)
composite number 合成数
731966137752213512964793549984695948822990915724321073762843498450970911527261499429401357644264283<99>
prime factors 素因数
539455429732333482903291051873663830009<39>
1356861192620491043304925318978799001477647862969493149561587<61>
factorization results 素因数分解の結果
Number: 97771_123
N=731966137752213512964793549984695948822990915724321073762843498450970911527261499429401357644264283
  ( 99 digits)
SNFS difficulty: 124 digits.
Divisors found:
 r1=539455429732333482903291051873663830009 (pp39)
 r2=1356861192620491043304925318978799001477647862969493149561587 (pp61)
Version: Msieve-1.40
Total time: 3.00 hours.
Scaled time: 6.09 units (timescale=2.032).
Factorization parameters were as follows:
name: 97771_123
n: 731966137752213512964793549984695948822990915724321073762843498450970911527261499429401357644264283
m: 2000000000000000000000000
deg: 5
c5: 2750
c0: -61
skew: 0.47
type: snfs
lss: 1
rlim: 850000
alim: 850000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 850000/850000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [425000, 875001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 112987 x 113235
Total sieving time: 2.89 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,124.000,5,0,0,0,0,0,0,0,0,850000,850000,25,25,46,46,2.2,2.2,50000
total time: 3.00 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 14, 2010 05:00:00 UTC 2010 年 10 月 14 日 (木) 14 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 14, 2010 16:56:24 UTC 2010 年 10 月 15 日 (金) 1 時 56 分 24 秒 (日本時間)
403e6110 / 2126Ignacio SantosOctober 14, 2010 16:56:24 UTC 2010 年 10 月 15 日 (金) 1 時 56 分 24 秒 (日本時間)
4511e632 / 4437Ignacio SantosOctober 14, 2010 16:56:24 UTC 2010 年 10 月 15 日 (金) 1 時 56 分 24 秒 (日本時間)

88×10125-619

c108

name 名前Ignacio Santos
date 日付October 14, 2010 17:42:02 UTC 2010 年 10 月 15 日 (金) 2 時 42 分 2 秒 (日本時間)
composite number 合成数
874999424085546247625190162664816610669414627863620797727093537222198734656494235876918632182853789640425977<108>
prime factors 素因数
16151141593093130408672494867859<32>
54175701391889892919870980410233165308553512298899652964073237282696474673603<77>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2329700276
Step 1 took 4758ms
Step 2 took 3557ms
********** Factor found in step 2: 16151141593093130408672494867859
Found probable prime factor of 32 digits: 16151141593093130408672494867859
Probable prime cofactor 54175701391889892919870980410233165308553512298899652964073237282696474673603 has 77 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 14, 2010 05:00:00 UTC 2010 年 10 月 14 日 (木) 14 時 0 分 0 秒 (日本時間)

88×10126-619

c110

name 名前Ignacio Santos
date 日付October 14, 2010 18:25:53 UTC 2010 年 10 月 15 日 (金) 3 時 25 分 53 秒 (日本時間)
composite number 合成数
20060452936193744450470331742007807047209265958149782265137288181416318359164173264586054932977808074675945853<110>
prime factors 素因数
170965132137352775481680960302312183<36>
117336515846267695881024586279588962376384139366236008284326946860890408491<75>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2117276652
Step 1 took 13681ms
Step 2 took 8876ms
********** Factor found in step 2: 170965132137352775481680960302312183
Found probable prime factor of 36 digits: 170965132137352775481680960302312183
Probable prime cofactor 117336515846267695881024586279588962376384139366236008284326946860890408491 has 75 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 14, 2010 05:00:00 UTC 2010 年 10 月 14 日 (木) 14 時 0 分 0 秒 (日本時間)

88×10134-619

c120

name 名前Sinkiti Sibata
date 日付October 15, 2010 11:37:31 UTC 2010 年 10 月 15 日 (金) 20 時 37 分 31 秒 (日本時間)
composite number 合成数
113284417209746556159024098790111959970438790921359741758552697940526371772341625018071315519838493150801352651718067649<120>
prime factors 素因数
69421229520196481036539929158167490987850262835179<50>
1631841124000679184794593397095383277317542133938038330689670998204931<70>
factorization results 素因数分解の結果
Number: 97771_134
N=113284417209746556159024098790111959970438790921359741758552697940526371772341625018071315519838493150801352651718067649
  ( 120 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=69421229520196481036539929158167490987850262835179 (pp50)
 r2=1631841124000679184794593397095383277317542133938038330689670998204931 (pp70)
Version: Msieve-1.40
Total time: 6.25 hours.
Scaled time: 12.73 units (timescale=2.038).
Factorization parameters were as follows:
name: 97771_134
n: 113284417209746556159024098790111959970438790921359741758552697940526371772341625018071315519838493150801352651718067649
m: 200000000000000000000000000
deg: 5
c5: 27500
c0: -61
skew: 0.29
type: snfs
lss: 1
rlim: 1290000
alim: 1290000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1290000/1290000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [645000, 1470001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 205046 x 205279
Total sieving time: 6.00 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.15 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,135.000,5,0,0,0,0,0,0,0,0,1290000,1290000,26,26,47,47,2.3,2.3,75000
total time: 6.25 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 14, 2010 05:00:00 UTC 2010 年 10 月 14 日 (木) 14 時 0 分 0 秒 (日本時間)

88×10135-619

c96

name 名前Erik Branger
date 日付October 14, 2010 17:46:28 UTC 2010 年 10 月 15 日 (金) 2 時 46 分 28 秒 (日本時間)
composite number 合成数
171772540659952564078004423802148363857547429789009211261084957225246073737125807475419908250279<96>
prime factors 素因数
50467932715031325358082257536320195366193027839<47>
3403597718770675529951632921929159631865823823961<49>
factorization results 素因数分解の結果
Number: 97771_135
N = 171772540659952564078004423802148363857547429789009211261084957225246073737125807475419908250279 (96 digits)
Divisors found:
r1=50467932715031325358082257536320195366193027839 (pp47)
r2=3403597718770675529951632921929159631865823823961 (pp49)
Version: Msieve v. 1.45
Total time: 3.81 hours.
Factorization parameters were as follows:
n: 171772540659952564078004423802148363857547429789009211261084957225246073737125807475419908250279
Y0: -89812629502133434249138
Y1: 3886608460597
c0: -1884792271705041608919728565
c1: -494062545675210976584
c2: 1813218093993827
c3: 23188142
c4: 2640
skew: 1148637.67
type: gnfs
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Sieved algebraic special-q in [600000, 900000)
Relations: 2296811
Relations in full relation-set: 178488 relations
Pruned matrix : 114454 x 114679
Polynomial selection time: 0.24 hours.
Total sieving time: 3.47 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
time per square root: 0.03 hours.
Prototype def-par.txt line would be: gnfs,95,4,60,2000,0.0001,0.3,220,15,10000,600,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 3.81 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
3025e40--
351e6118 / 904Makoto KamadaOctober 14, 2010 05:00:00 UTC 2010 年 10 月 14 日 (木) 14 時 0 分 0 秒 (日本時間)

88×10138-619

c135

name 名前Sinkiti Sibata
date 日付October 15, 2010 05:24:52 UTC 2010 年 10 月 15 日 (金) 14 時 24 分 52 秒 (日本時間)
composite number 合成数
474488172843100780209529663598669276351617303720957819079816459347686600561837131934671605657193078942969756770892307360497781228600853<135>
prime factors 素因数
453152324021061890973161993420443378185633181742188171953987299<63>
1047083172017555908199785103681184209875591482203302020448852431858862247<73>
factorization results 素因数分解の結果
Number: 97771_138
N=474488172843100780209529663598669276351617303720957819079816459347686600561837131934671605657193078942969756770892307360497781228600853
  ( 135 digits)
SNFS difficulty: 139 digits.
Divisors found:
 r1=453152324021061890973161993420443378185633181742188171953987299 (pp63)
 r2=1047083172017555908199785103681184209875591482203302020448852431858862247 (pp73)
Version: Msieve v. 1.42
Total time: 0.23 hours.
Scaled time: 0.24 units (timescale=1.024).
Factorization parameters were as follows:
name: 97771_138
n: 474488172843100780209529663598669276351617303720957819079816459347686600561837131934671605657193078942969756770892307360497781228600853
m: 2000000000000000000000000000
deg: 5
c5: 2750
c0: -61
skew: 0.47
type: snfs
lss: 1
rlim: 1500000
alim: 1500000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
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, 1800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 261177 x 261402
Total sieving time: 0.00 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.15 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,139.000,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,48,48,2.3,2.3,75000
total time: 0.23 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU1: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU2: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU3: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
Memory: 3057976k/3145344k available (3786k kernel code, 496k absent, 86872k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 4788.41 BogoMIPS (lpj=2394209)
Calibrating delay using timer specific routine.. 4787.75 BogoMIPS (lpj=2393877)
Calibrating delay using timer specific routine.. 4787.78 BogoMIPS (lpj=2393890)
Calibrating delay using timer specific routine.. 4787.78 BogoMIPS (lpj=2393890)
Total of 4 processors activated (19151.73 BogoMIPS).

Total time : 4 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 14, 2010 05:00:00 UTC 2010 年 10 月 14 日 (木) 14 時 0 分 0 秒 (日本時間)

88×10145-619

c135

name 名前Sinkiti Sibata
date 日付October 15, 2010 11:01:28 UTC 2010 年 10 月 15 日 (金) 20 時 1 分 28 秒 (日本時間)
composite number 合成数
269074807746257014680474255654576896505204702125512903543271874984890752969994944828235042186570890121468720839900144006859619996598157<135>
prime factors 素因数
8609981292570746064166346497099084121953003689157681<52>
31251497372988757192706802161712512384059553106123649204537216070272817068977735197<83>
factorization results 素因数分解の結果
Number: 97771_145
N=269074807746257014680474255654576896505204702125512903543271874984890752969994944828235042186570890121468720839900144006859619996598157
  ( 135 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=8609981292570746064166346497099084121953003689157681 (pp52)
 r2=31251497372988757192706802161712512384059553106123649204537216070272817068977735197 (pp83)
Version: Msieve-1.40
Total time: 9.30 hours.
Scaled time: 21.84 units (timescale=2.349).
Factorization parameters were as follows:
name: 97771_145
n: 269074807746257014680474255654576896505204702125512903543271874984890752969994944828235042186570890121468720839900144006859619996598157
m: 100000000000000000000000000000
deg: 5
c5: 88
c0: -61
skew: 0.93
type: snfs
lss: 1
rlim: 1970000
alim: 1970000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1970000/1970000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [985000, 2085001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 277871 x 278119
Total sieving time: 9.05 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.17 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,146.000,5,0,0,0,0,0,0,0,0,1970000,1970000,26,26,49,49,2.3,2.3,100000
total time: 9.30 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 14, 2010 05:00:00 UTC 2010 年 10 月 14 日 (木) 14 時 0 分 0 秒 (日本時間)

88×10146-619

c134

name 名前Sinkiti Sibata
date 日付October 15, 2010 10:58:57 UTC 2010 年 10 月 15 日 (金) 19 時 58 分 57 秒 (日本時間)
composite number 合成数
85225676507885394316638127993077422300506644331707545548869237180703601857791435514000067328610022683193565960727562325126262489214753<134>
prime factors 素因数
609709401231699706059526523804566314359<39>
139780814164448516945163692831046362122659927379193515169615930110937883614747262539641121955367<96>
factorization results 素因数分解の結果
Number: 97771_146
N=85225676507885394316638127993077422300506644331707545548869237180703601857791435514000067328610022683193565960727562325126262489214753
  ( 134 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=609709401231699706059526523804566314359 (pp39)
 r2=139780814164448516945163692831046362122659927379193515169615930110937883614747262539641121955367 (pp96)
Version: Msieve-1.40
Total time: 12.26 hours.
Scaled time: 34.93 units (timescale=2.849).
Factorization parameters were as follows:
name: 97771_146
n: 85225676507885394316638127993077422300506644331707545548869237180703601857791435514000067328610022683193565960727562325126262489214753
m: 100000000000000000000000000000
deg: 5
c5: 880
c0: -61
skew: 0.59
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1000000, 2500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 328674 x 328922
Total sieving time: 11.92 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.23 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,147.000,5,0,0,0,0,0,0,0,0,2000000,2000000,26,26,49,49,2.3,2.3,100000
total time: 12.26 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 14, 2010 05:00:00 UTC 2010 年 10 月 14 日 (木) 14 時 0 分 0 秒 (日本時間)

88×10151-619

c140

name 名前Sinkiti Sibata
date 日付October 16, 2010 06:04:19 UTC 2010 年 10 月 16 日 (土) 15 時 4 分 19 秒 (日本時間)
composite number 合成数
88562417915926734879922784495815970847959037850307787148317540884449457018054253876334386381873106745443364245558900954152507241722629320237<140>
prime factors 素因数
175333772942317890608739922028950514904236268134478879061<57>
505107580985338207606322496173741231099133616521198497678230473303587096934569124217<84>
factorization results 素因数分解の結果
Number: 97771_151
N=88562417915926734879922784495815970847959037850307787148317540884449457018054253876334386381873106745443364245558900954152507241722629320237
  ( 140 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=175333772942317890608739922028950514904236268134478879061 (pp57)
 r2=505107580985338207606322496173741231099133616521198497678230473303587096934569124217 (pp84)
Version: Msieve-1.40
Total time: 18.19 hours.
Scaled time: 46.83 units (timescale=2.575).
Factorization parameters were as follows:
name: 97771_151
n: 88562417915926734879922784495815970847959037850307787148317540884449457018054253876334386381873106745443364245558900954152507241722629320237
m: 1000000000000000000000000000000
deg: 5
c5: 880
c0: -61
skew: 0.59
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor 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, 2050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 404175 x 404423
Total sieving time: 17.51 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.35 hours.
Time per square root: 0.25 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: 18.19 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 14, 2010 05:00:00 UTC 2010 年 10 月 14 日 (木) 14 時 0 分 0 秒 (日本時間)

88×10152-619

c147

name 名前Sinkiti Sibata
date 日付October 16, 2010 06:07:07 UTC 2010 年 10 月 16 日 (土) 15 時 7 分 7 秒 (日本時間)
composite number 合成数
262551223967561318912946039845907493238783863923996910368801229002279392154533831500412518692975850747267028229537436358552959669834675372865253431<147>
prime factors 素因数
91792215777305469160003645535389491166256542489<47>
2860277658015462989114709992716221119748068250955185790523634047955594148817340052441381159870691279<100>
factorization results 素因数分解の結果
Number: 97771_152
N=262551223967561318912946039845907493238783863923996910368801229002279392154533831500412518692975850747267028229537436358552959669834675372865253431
  ( 147 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=91792215777305469160003645535389491166256542489 (pp47)
 r2=2860277658015462989114709992716221119748068250955185790523634047955594148817340052441381159870691279 (pp100)
Version: Msieve-1.40
Total time: 19.88 hours.
Scaled time: 57.43 units (timescale=2.888).
Factorization parameters were as follows:
name: 97771_152
n: 262551223967561318912946039845907493238783863923996910368801229002279392154533831500412518692975850747267028229537436358552959669834675372865253431
m: 2000000000000000000000000000000
deg: 5
c5: 275
c0: -61
skew: 0.74
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor 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, 2300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 477235 x 477483
Total sieving time: 19.21 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.48 hours.
Time per square root: 0.10 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: 19.88 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
351e6418118Makoto KamadaOctober 14, 2010 05:00:00 UTC 2010 年 10 月 14 日 (木) 14 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 14, 2010 22:25:24 UTC 2010 年 10 月 15 日 (金) 7 時 25 分 24 秒 (日本時間)
403e6110 / 2126Ignacio SantosOctober 14, 2010 22:25:24 UTC 2010 年 10 月 15 日 (金) 7 時 25 分 24 秒 (日本時間)
4511e632 / 4437Ignacio SantosOctober 14, 2010 22:25:24 UTC 2010 年 10 月 15 日 (金) 7 時 25 分 24 秒 (日本時間)

88×10156-619

c137

name 名前Sinkiti Sibata
date 日付October 16, 2010 13:05:17 UTC 2010 年 10 月 16 日 (土) 22 時 5 分 17 秒 (日本時間)
composite number 合成数
50890666719401803630360933845080925461190938181137513741701015213193129891397913968777373947970539295662884078192133721747971503425017713<137>
prime factors 素因数
2153326980425533214972813350879972123617620933<46>
23633506282146226450494327083689222207073642343812127195016362943691273392192531007686857661<92>
factorization results 素因数分解の結果
Number: 97771_156
N=50890666719401803630360933845080925461190938181137513741701015213193129891397913968777373947970539295662884078192133721747971503425017713
  ( 137 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=2153326980425533214972813350879972123617620933 (pp46)
 r2=23633506282146226450494327083689222207073642343812127195016362943691273392192531007686857661 (pp92)
Version: Msieve-1.40
Total time: 24.24 hours.
Scaled time: 66.13 units (timescale=2.728).
Factorization parameters were as follows:
name: 97771_156
n: 50890666719401803630360933845080925461190938181137513741701015213193129891397913968777373947970539295662884078192133721747971503425017713
m: 10000000000000000000000000000000
deg: 5
c5: 880
c0: -61
skew: 0.59
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1500000, 2700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 502392 x 502640
Total sieving time: 23.56 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.54 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,157.000,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 24.24 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
351e6418118Makoto KamadaOctober 14, 2010 05:00:00 UTC 2010 年 10 月 14 日 (木) 14 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 14, 2010 23:23:47 UTC 2010 年 10 月 15 日 (金) 8 時 23 分 47 秒 (日本時間)
403e6110 / 2126Ignacio SantosOctober 14, 2010 23:23:47 UTC 2010 年 10 月 15 日 (金) 8 時 23 分 47 秒 (日本時間)
4511e632 / 4437Ignacio SantosOctober 14, 2010 23:23:47 UTC 2010 年 10 月 15 日 (金) 8 時 23 分 47 秒 (日本時間)

88×10157-619

c118

name 名前Sinkiti Sibata
date 日付October 17, 2010 05:44:12 UTC 2010 年 10 月 17 日 (日) 14 時 44 分 12 秒 (日本時間)
composite number 合成数
1912624468893010677463854424680842653905989931914971713129946934731111219924427833618454906946284530517258039501913323<118>
prime factors 素因数
43722817919653874735813623851519533819<38>
43744309262218561233664656838563063904419100262742269128350693296840725212113617<80>
factorization results 素因数分解の結果
Number: 97771_157
N=1912624468893010677463854424680842653905989931914971713129946934731111219924427833618454906946284530517258039501913323
  ( 118 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=43722817919653874735813623851519533819 (pp38)
 r2=43744309262218561233664656838563063904419100262742269128350693296840725212113617 (pp80)
Version: Msieve-1.40
Total time: 28.12 hours.
Scaled time: 79.78 units (timescale=2.837).
Factorization parameters were as follows:
name: 97771_157
n: 1912624468893010677463854424680842653905989931914971713129946934731111219924427833618454906946284530517258039501913323
m: 20000000000000000000000000000000
deg: 5
c5: 275
c0: -61
skew: 0.74
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3100000/3100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1550000, 2950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 539468 x 539716
Total sieving time: 27.18 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.59 hours.
Time per square root: 0.26 hours.
Prototype def-par.txt line would be:
snfs,158.000,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000
total time: 28.12 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
351e6418118Makoto KamadaOctober 14, 2010 05:00:00 UTC 2010 年 10 月 14 日 (木) 14 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 14, 2010 21:27:26 UTC 2010 年 10 月 15 日 (金) 6 時 27 分 26 秒 (日本時間)
403e6110 / 2126Ignacio SantosOctober 14, 2010 21:27:26 UTC 2010 年 10 月 15 日 (金) 6 時 27 分 26 秒 (日本時間)
4511e632 / 4437Ignacio SantosOctober 14, 2010 21:27:26 UTC 2010 年 10 月 15 日 (金) 6 時 27 分 26 秒 (日本時間)

88×10158-619

c159

name 名前Sinkiti Sibata
date 日付October 16, 2010 05:49:41 UTC 2010 年 10 月 16 日 (土) 14 時 49 分 41 秒 (日本時間)
composite number 合成数
977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777771<159>
prime factors 素因数
2011833765355403860768494047331792714250131995566941271681<58>
486013205770530851023100600717767666738238366324034883594255096380421696317014645763504703955875910891<102>
factorization results 素因数分解の結果
Number: 97771_158
N=977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777771
  ( 159 digits)
SNFS difficulty: 159 digits.
Divisors found:
 r1=2011833765355403860768494047331792714250131995566941271681 (pp58)
 r2=486013205770530851023100600717767666738238366324034883594255096380421696317014645763504703955875910891 (pp102)
Version: Msieve v. 1.42
Total time: 1.04 hours.
Scaled time: 1.06 units (timescale=1.024).
Factorization parameters were as follows:
name: 97771_158
n: 977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777771
m: 20000000000000000000000000000000
deg: 5
c5: 2750
c0: -61
skew: 0.47
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1600000, 3400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 630095 x 630321
Total sieving time: 0.00 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.89 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,159.000,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,50,50,2.4,2.4,100000
total time: 1.04 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU1: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU2: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU3: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
Memory: 3057976k/3145344k available (3786k kernel code, 496k absent, 86872k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 4788.41 BogoMIPS (lpj=2394209)
Calibrating delay using timer specific routine.. 4787.75 BogoMIPS (lpj=2393877)
Calibrating delay using timer specific routine.. 4787.78 BogoMIPS (lpj=2393890)
Calibrating delay using timer specific routine.. 4787.78 BogoMIPS (lpj=2393890)
Total of 4 processors activated (19151.73 BogoMIPS).

Total time: 13 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 14, 2010 05:00:00 UTC 2010 年 10 月 14 日 (木) 14 時 0 分 0 秒 (日本時間)

88×10159-619

c143

name 名前Dmitry Domanov
date 日付October 19, 2010 03:16:08 UTC 2010 年 10 月 19 日 (火) 12 時 16 分 8 秒 (日本時間)
composite number 合成数
10366806524261086248141897452471018433361990943351228996136868062238176970045485728683233214903340694878979464116737660745249478673217700430449<143>
prime factors 素因数
12017817265576453447936384711745032710010321<44>
862619749923766719799622464449304839091879588645199623416711467439329493928613515606755800884382369<99>
factorization results 素因数分解の結果
Number: st12
N=10366806524261086248141897452471018433361990943351228996136868062238176970045485728683233214903340694878979464116737660745249478673217700430449
  ( 143 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=12017817265576453447936384711745032710010321 (pp44)
 r2=862619749923766719799622464449304839091879588645199623416711467439329493928613515606755800884382369 (pp99)
Version: Msieve-1.40
Total time: 32.27 hours.
Scaled time: 60.77 units (timescale=1.883).
Factorization parameters were as follows:
n: 10366806524261086248141897452471018433361990943351228996136868062238176970045485728683233214903340694878979464116737660745249478673217700430449
m: 20000000000000000000000000000000
deg: 5
c5: 27500
c0: -61
skew: 0.29
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1700000, 3600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 694252 x 694478
Total sieving time: 31.49 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.60 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,160.000,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 32.27 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 14, 2010 05:00:00 UTC 2010 年 10 月 14 日 (木) 14 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 15, 2010 06:04:44 UTC 2010 年 10 月 15 日 (金) 15 時 4 分 44 秒 (日本時間)
403e6110 / 2126Ignacio SantosOctober 15, 2010 06:04:44 UTC 2010 年 10 月 15 日 (金) 15 時 4 分 44 秒 (日本時間)
4511e632 / 4437Ignacio SantosOctober 15, 2010 06:04:44 UTC 2010 年 10 月 15 日 (金) 15 時 4 分 44 秒 (日本時間)

88×10160-619

c114

name 名前juno1369
date 日付October 17, 2010 19:12:22 UTC 2010 年 10 月 18 日 (月) 4 時 12 分 22 秒 (日本時間)
composite number 合成数
309348395037845505144301917769513351458821800512363188972806500750493065043489260652486921250118993432750648053009<114>
prime factors 素因数
2185828501950001052163680931738299329<37>
141524549964405937522874693436765036324456673077522259433408339553826575299921<78>
factorization results 素因数分解の結果
Number: 97771_160
N = 309348395037845505144301917769513351458821800512363188972806500750493065043489260652486921250118993432750648053009 (114 digits)
Divisors found:
r1=2185828501950001052163680931738299329 (pp37)
r2=141524549964405937522874693436765036324456673077522259433408339553826575299921 (pp78)
Version: Msieve v. 1.47
Total time: 33.44 hours.
Factorization parameters were as follows:
n: 309348395037845505144301917769513351458821800512363188972806500750493065043489260652486921250118993432750648053009
Y0: -13385097657431621616357
Y1: 752576742497
c0: 3179474669670243122485567792
c1: 164857568105831522471868
c2: -1064467866411750620
c3: -94213447347270
c4: 225577567
c5: 720
skew: 99376.59  
type: gnfs
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 8487648
Relations: 645796 relations
Pruned matrix : 400976 x 401201
Polynomial selection time: 2.22 hours.
Total sieving time: 30.34 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.60 hours.
time per square root: 0.17 hours.
Prototype def-par.txt line would be: gnfs,113,5,61,2000,0.00016,0.25,250,15,50000,2800,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 33.44 hours.
Intel64 Family 6 Model 23 Stepping 10, GenuineIntel
Windows-Vista-6.0.6002-SP2
processors: 2, speed: 2.00GHz
software ソフトウェア
GGNFS + Msieve v. 1.47

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 14, 2010 05:00:00 UTC 2010 年 10 月 14 日 (木) 14 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 14, 2010 19:44:55 UTC 2010 年 10 月 15 日 (金) 4 時 44 分 55 秒 (日本時間)
403e6110 / 2126Ignacio SantosOctober 14, 2010 19:44:55 UTC 2010 年 10 月 15 日 (金) 4 時 44 分 55 秒 (日本時間)
4511e632 / 4437Ignacio SantosOctober 14, 2010 19:44:55 UTC 2010 年 10 月 15 日 (金) 4 時 44 分 55 秒 (日本時間)

88×10167-619

c161

name 名前Ignacio Santos
date 日付October 16, 2010 23:00:49 UTC 2010 年 10 月 17 日 (日) 8 時 0 分 49 秒 (日本時間)
composite number 合成数
53627427118696393787708650988237390605914177700464091144882617697561628532599354239242324408431433284948596618070406315575336032048286720404151891472566917080547<161>
prime factors 素因数
304223047833109471117488937914599749<36>
1778693104573382822717250022047324625493<40>
213623887749775491709684835310526103252729<42>
463920979165346981321004838342497473800535299<45>
factorization results 素因数分解の結果
Number: 3
N=53627427118696393787708650988237390605914177700464091144882617697561628532599354239242324408431433284948596618070406315575336032048286720404151891472566917080547
  ( 161 digits)
SNFS difficulty: 168 digits.
Divisors found:
 r1=304223047833109471117488937914599749 (pp36)
 r2=1778693104573382822717250022047324625493 (pp40)
 r3=213623887749775491709684835310526103252729 (pp42)
 r4=463920979165346981321004838342497473800535299 (pp45)
Version: Msieve-1.40
Total time: 54.16 hours.
Scaled time: 94.19 units (timescale=1.739).
Factorization parameters were as follows:
n: 53627427118696393787708650988237390605914177700464091144882617697561628532599354239242324408431433284948596618070406315575336032048286720404151891472566917080547
m: 2000000000000000000000000000000000
deg: 5
c5: 275
c0: -61
skew: 0.74
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2300000, 5200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 916382 x 916610
Total sieving time: 52.45 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.12 hours.
Time per square root: 0.49 hours.
Prototype def-par.txt line would be:
snfs,168.000,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000
total time: 54.16 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 14, 2010 05:00:00 UTC 2010 年 10 月 14 日 (木) 14 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 15, 2010 06:05:18 UTC 2010 年 10 月 15 日 (金) 15 時 5 分 18 秒 (日本時間)
403e6110 / 2126Ignacio SantosOctober 15, 2010 06:05:18 UTC 2010 年 10 月 15 日 (金) 15 時 5 分 18 秒 (日本時間)
4511e632 / 4437Ignacio SantosOctober 15, 2010 06:05:18 UTC 2010 年 10 月 15 日 (金) 15 時 5 分 18 秒 (日本時間)

88×10168-619

c146

name 名前Markus Tervooren
date 日付December 10, 2010 23:28:41 UTC 2010 年 12 月 11 日 (土) 8 時 28 分 41 秒 (日本時間)
composite number 合成数
17667513544683237032582637405049858538494318129535467141671685621315890964572959541378025967352573163995307525318838337852256604883621621837550003<146>
prime factors 素因数
35281859087267758991602408762663287143169395555778634029673<59>
500753475064440438256149222854864338586121664200650729763013632771631496026166304993211<87>
factorization results 素因数分解の結果
Msieve v. 1.48
Fri Dec 10 23:16:34 2010
random seeds: f6c03c71 88ac5b06
factoring 17667513544683237032582637405049858538494318129535467141671685621315890964572959541378025967352573163995307525318838337852256604883621621837550003 (146 digits)
searching for 15-digit factors
commencing number field sieve (146-digit input)
R0: -2000000000000000000000000000000000
R1:  1
A0: -61
A1:  0
A2:  0
A3:  0
A4:  0
A5:  2750
skew 0.47, size 3.652e-12, alpha 0.870, combined = 1.856e-10 rroots = 1

commencing relation filtering
estimated available RAM is 3960.1 MB
commencing duplicate removal, pass 1
read 10M relations
found 2443472 hash collisions in 17843261 relations
added 697294 free relations
commencing duplicate removal, pass 2
found 1791120 duplicates and 16749435 unique relations
memory use: 82.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 376.5 MB
reading all ideals from disk
memory use: 496.3 MB
keeping 18794111 ideals with weight <= 200, target excess is 116250
commencing in-memory singleton removal
begin with 16749435 relations and 18794111 unique ideals
reduce to 6142127 relations and 5576932 ideals in 18 passes
max relations containing the same ideal: 91
removing 1370758 relations and 1155586 ideals in 215172 cliques
commencing in-memory singleton removal
begin with 4771369 relations and 5576932 unique ideals
reduce to 4561504 relations and 4202135 ideals in 13 passes
max relations containing the same ideal: 73
removing 1030851 relations and 815679 ideals in 215172 cliques
commencing in-memory singleton removal
begin with 3530653 relations and 4202135 unique ideals
reduce to 3360882 relations and 3208592 ideals in 10 passes
max relations containing the same ideal: 59
removing 141859 relations and 124420 ideals in 17439 cliques
commencing in-memory singleton removal
begin with 3219023 relations and 3208592 unique ideals
reduce to 3214917 relations and 3080036 ideals in 6 passes
max relations containing the same ideal: 56
relations with 0 large ideals: 2932
relations with 1 large ideals: 2110
relations with 2 large ideals: 30262
relations with 3 large ideals: 176151
relations with 4 large ideals: 529482
relations with 5 large ideals: 893301
relations with 6 large ideals: 902221
relations with 7+ large ideals: 678458
commencing 2-way merge
reduce to 1914146 relation sets and 1779265 unique ideals
commencing full merge
memory use: 211.7 MB
found 963065 cycles, need 945465
weight of 945465 cycles is about 66242198 (70.06/cycle)
distribution of cycle lengths:
1 relations: 115730
2 relations: 104121
3 relations: 102928
4 relations: 95249
5 relations: 89571
6 relations: 78188
7 relations: 68420
8 relations: 59073
9 relations: 50005
10+ relations: 182180
heaviest cycle: 22 relations
commencing cycle optimization
start with 5626868 relations
pruned 130854 relations
memory use: 186.2 MB
distribution of cycle lengths:
1 relations: 115730
2 relations: 106189
3 relations: 106167
4 relations: 97461
5 relations: 91701
6 relations: 79401
7 relations: 69473
8 relations: 59544
9 relations: 49538
10+ relations: 170261
heaviest cycle: 22 relations
RelProcTime: 504

commencing linear algebra
read 945465 cycles
cycles contain 3112434 unique relations
read 3112434 relations
using 20 quadratic characters above 268433912
building initial matrix
memory use: 381.9 MB
read 945465 cycles
matrix is 945286 x 945465 (283.2 MB) with weight 84069416 (88.92/col)
sparse part has weight 63833958 (67.52/col)
filtering completed in 2 passes
matrix is 943863 x 944042 (283.0 MB) with weight 84017219 (89.00/col)
sparse part has weight 63812821 (67.60/col)
matrix starts at (0, 0)
matrix is 943863 x 944042 (283.0 MB) with weight 84017219 (89.00/col)
sparse part has weight 63812821 (67.60/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 943815 x 944042 (268.0 MB) with weight 66329457 (70.26/col)
sparse part has weight 60810298 (64.41/col)
using block size 65536 for processor cache size 6144 kB
commencing Lanczos iteration (6 threads)
memory use: 247.7 MB
linear algebra at 0.3%, ETA 0h41m944042 dimensions (0.3%, ETA 0h41m)    
linear algebra completed 943437 of 944042 dimensions (99.9%, ETA 0h 0m)    
lanczos halted after 14927 iterations (dim = 943813)
recovered 37 nontrivial dependencies
BLanczosTime: 2490

commencing square root phase
reading relations for dependency 1
read 472931 cycles
cycles contain 1558366 unique relations
read 1558366 relations
multiplying 1558366 relations
multiply complete, coefficients have about 50.99 million bits
initial square root is modulo 20894161
reading relations for dependency 2
read 471861 cycles
cycles contain 1555138 unique relations
read 1555138 relations
multiplying 1555138 relations
multiply complete, coefficients have about 50.88 million bits
initial square root is modulo 20201191
sqrtTime: 360
prp59 factor: 35281859087267758991602408762663287143169395555778634029673
prp87 factor: 500753475064440438256149222854864338586121664200650729763013632771631496026166304993211
elapsed time 00:55:55
execution environment 実行環境
sieved 2h40min on X6 1090T@4.0ghz with optimized gnfs-lasieve4I13e binary,
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 14, 2010 05:00:00 UTC 2010 年 10 月 14 日 (木) 14 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 15, 2010 06:05:42 UTC 2010 年 10 月 15 日 (金) 15 時 5 分 42 秒 (日本時間)
403e6860110Ignacio SantosOctober 15, 2010 06:05:42 UTC 2010 年 10 月 15 日 (金) 15 時 5 分 42 秒 (日本時間)
750Ignacio SantosNovember 28, 2010 23:33:19 UTC 2010 年 11 月 29 日 (月) 8 時 33 分 19 秒 (日本時間)
4511e6246 / 405032Ignacio SantosOctober 15, 2010 06:05:42 UTC 2010 年 10 月 15 日 (金) 15 時 5 分 42 秒 (日本時間)
214Ignacio SantosNovember 28, 2010 23:33:19 UTC 2010 年 11 月 29 日 (月) 8 時 33 分 19 秒 (日本時間)
5043e663 / 746358Ignacio SantosNovember 28, 2010 23:33:19 UTC 2010 年 11 月 29 日 (月) 8 時 33 分 19 秒 (日本時間)
5Markus TervoorenDecember 1, 2010 12:53:02 UTC 2010 年 12 月 1 日 (水) 21 時 53 分 2 秒 (日本時間)

88×10169-619

c147

name 名前Sinkiti Sibata
date 日付March 30, 2011 22:24:21 UTC 2011 年 3 月 31 日 (木) 7 時 24 分 21 秒 (日本時間)
composite number 合成数
226035421627718940206201013695434467218815132365466984252026827688296255630708200784535967137901128535367504283177227393636329468533696984596898173<147>
prime factors 素因数
9260340579384780025455413547542177453609537072605280989511532439352636149<73>
24408974992876107498411003349439464513185443533394246034751411917041430377<74>
factorization results 素因数分解の結果
Number: 97771_169
N=226035421627718940206201013695434467218815132365466984252026827688296255630708200784535967137901128535367504283177227393636329468533696984596898173
  ( 147 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=9260340579384780025455413547542177453609537072605280989511532439352636149 (pp73)
 r2=24408974992876107498411003349439464513185443533394246034751411917041430377 (pp74)
Version: Msieve-1.40
Total time: 102.22 hours.
Scaled time: 223.66 units (timescale=2.188).
Factorization parameters were as follows:
name: 97771_169
n: 226035421627718940206201013695434467218815132365466984252026827688296255630708200784535967137901128535367504283177227393636329468533696984596898173
m: 2000000000000000000000000000000000
deg: 5
c5: 27500
c0: -61
skew: 0.29
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, 6350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1040987 x 1041235
Total sieving time: 96.61 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 5.27 hours.
Time per square root: 0.18 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: 102.22 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
351e6418118Makoto KamadaOctober 14, 2010 05:00:00 UTC 2010 年 10 月 14 日 (木) 14 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 15, 2010 06:06:06 UTC 2010 年 10 月 15 日 (金) 15 時 6 分 6 秒 (日本時間)
403e6860110Ignacio SantosOctober 15, 2010 06:06:06 UTC 2010 年 10 月 15 日 (金) 15 時 6 分 6 秒 (日本時間)
750Ignacio SantosNovember 29, 2010 16:40:05 UTC 2010 年 11 月 30 日 (火) 1 時 40 分 5 秒 (日本時間)
4511e6246 / 406832Ignacio SantosOctober 15, 2010 06:06:06 UTC 2010 年 10 月 15 日 (金) 15 時 6 分 6 秒 (日本時間)
214Ignacio SantosNovember 29, 2010 16:40:05 UTC 2010 年 11 月 30 日 (火) 1 時 40 分 5 秒 (日本時間)
5043e658 / 7463Ignacio SantosNovember 29, 2010 16:40:05 UTC 2010 年 11 月 30 日 (火) 1 時 40 分 5 秒 (日本時間)

88×10170-619

c154

name 名前Sinkiti Sibata
date 日付April 5, 2011 07:39:33 UTC 2011 年 4 月 5 日 (火) 16 時 39 分 33 秒 (日本時間)
composite number 合成数
7462651122688048514369439323343135160465951472870561234054098864805778104214379368709808509538076527771099307353581940795632636424231968993990927975917893<154>
prime factors 素因数
51064978810696839263538369952287942944024032391242465636745664677<65>
146140296079488615342012890242569284324215348627981335445013784456986352731860951711845409<90>
factorization results 素因数分解の結果
Number: 97771_170
N=7462651122688048514369439323343135160465951472870561234054098864805778104214379368709808509538076527771099307353581940795632636424231968993990927975917893
  ( 154 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=51064978810696839263538369952287942944024032391242465636745664677 (pp65)
 r2=146140296079488615342012890242569284324215348627981335445013784456986352731860951711845409 (pp90)
Version: Msieve-1.40
Total time: 67.70 hours.
Scaled time: 186.31 units (timescale=2.752).
Factorization parameters were as follows:
name: 97771_170
n: 7462651122688048514369439323343135160465951472870561234054098864805778104214379368709808509538076527771099307353581940795632636424231968993990927975917893
m: 10000000000000000000000000000000000
deg: 5
c5: 88
c0: -61
skew: 0.93
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2550000, 5250001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 885645 x 885892
Total sieving time: 65.53 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.74 hours.
Time per square root: 0.31 hours.
Prototype def-par.txt line would be:
snfs,171.000,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 67.70 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 14, 2010 05:00:00 UTC 2010 年 10 月 14 日 (木) 14 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 15, 2010 06:06:36 UTC 2010 年 10 月 15 日 (金) 15 時 6 分 36 秒 (日本時間)
403e6860110Ignacio SantosOctober 15, 2010 06:06:36 UTC 2010 年 10 月 15 日 (金) 15 時 6 分 36 秒 (日本時間)
750Ignacio SantosDecember 1, 2010 17:21:48 UTC 2010 年 12 月 2 日 (木) 2 時 21 分 48 秒 (日本時間)
4511e6246 / 406832Ignacio SantosOctober 15, 2010 06:06:36 UTC 2010 年 10 月 15 日 (金) 15 時 6 分 36 秒 (日本時間)
214Ignacio SantosDecember 1, 2010 17:21:48 UTC 2010 年 12 月 2 日 (木) 2 時 21 分 48 秒 (日本時間)
5043e658 / 7463Ignacio SantosDecember 1, 2010 17:21:48 UTC 2010 年 12 月 2 日 (木) 2 時 21 分 48 秒 (日本時間)

88×10171-619

c145

name 名前Justin Card
date 日付April 17, 2011 21:52:32 UTC 2011 年 4 月 18 日 (月) 6 時 52 分 32 秒 (日本時間)
composite number 合成数
3130619640058487712781463911765084249151608827524108355961845699280810995726917279988370523312196022806598728018215251383959906624835302588284177<145>
prime factors 素因数
1067207613549516042840476075581557651317741760963869207671282909<64>
2933468240210632618137724955260953188778020138849956994370708954795234746606810053<82>
factorization results 素因数分解の結果
Sat Apr 16 15:51:57 2011 -> factmsieve.py (v0.76)
Sat Apr 16 15:51:57 2011 -> This is client 1 of 1
Sat Apr 16 15:51:57 2011 -> Running on 4 Cores with 1 hyper-thread per Core
Sat Apr 16 15:51:57 2011 -> Working with NAME = 97771_171
Sat Apr 16 15:52:58 2011 -> factmsieve.py (v0.76)
Sat Apr 16 15:52:58 2011 -> This is client 1 of 1
Sat Apr 16 15:52:58 2011 -> Running on 4 Cores with 1 hyper-thread per Core
Sat Apr 16 15:52:58 2011 -> Working with NAME = 97771_171
Sat Apr 16 15:52:58 2011 -> Selected lattice siever: gnfs-lasieve4I13e
Sat Apr 16 15:52:58 2011 -> Creating param file to detect parameter changes...
Sat Apr 16 15:52:58 2011 -> Running setup ...
Sat Apr 16 15:52:58 2011 -> Estimated minimum relations needed: 1.17877e+07
Sat Apr 16 15:52:58 2011 -> cleaning up before a restart
Sat Apr 16 15:52:58 2011 -> Running lattice siever ...
Sat Apr 16 15:52:58 2011 -> entering sieving loop
Sat Apr 16 15:52:58 2011 -> making sieve job for q = 2650000 in 2650000 .. 2675000 as file 97771_171.job.T0
Sat Apr 16 15:52:58 2011 -> making sieve job for q = 2675000 in 2675000 .. 2700000 as file 97771_171.job.T1
Sat Apr 16 15:52:58 2011 -> making sieve job for q = 2700000 in 2700000 .. 2725000 as file 97771_171.job.T2
Sat Apr 16 15:52:58 2011 -> making sieve job for q = 2725000 in 2725000 .. 2750000 as file 97771_171.job.T3
Sat Apr 16 15:52:58 2011 -> Lattice sieving rational q from 2650000 to 2750000.
Sat Apr 16 15:52:58 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_171.job.T0
Sat Apr 16 15:55:16 2011 -> factmsieve.py (v0.76)
Sat Apr 16 15:55:16 2011 -> This is client 1 of 1
Sat Apr 16 15:55:16 2011 -> Running on 4 Cores with 1 hyper-thread per Core
Sat Apr 16 15:55:16 2011 -> Working with NAME = 97771_171
Sat Apr 16 15:55:16 2011 -> Selected lattice siever: gnfs-lasieve4I13e
Sat Apr 16 15:55:16 2011 -> Creating param file to detect parameter changes...
Sat Apr 16 15:55:16 2011 -> Running setup ...
Sat Apr 16 15:55:16 2011 -> Estimated minimum relations needed: 1.17877e+07
Sat Apr 16 15:55:16 2011 -> resuming a block for q from 2650000 to 2750000
Sat Apr 16 15:55:16 2011 -> Running lattice siever ...
Sat Apr 16 15:55:16 2011 -> entering sieving loop
Sat Apr 16 15:55:16 2011 -> making sieve job for q = 2650000 in 2650000 .. 2675000 as file 97771_171.job.T0
Sat Apr 16 15:55:16 2011 -> making sieve job for q = 2675000 in 2675000 .. 2700000 as file 97771_171.job.T1
Sat Apr 16 15:55:16 2011 -> making sieve job for q = 2700000 in 2700000 .. 2725000 as file 97771_171.job.T2
Sat Apr 16 15:55:16 2011 -> making sieve job for q = 2725000 in 2725000 .. 2750000 as file 97771_171.job.T3
Sat Apr 16 15:55:16 2011 -> Lattice sieving rational q from 2650000 to 2750000.
Sat Apr 16 15:55:16 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_171.job.T0
Sat Apr 16 16:02:34 2011 -> factmsieve.py (v0.76)
Sat Apr 16 16:02:34 2011 -> This is client 1 of 1
Sat Apr 16 16:02:34 2011 -> Running on 4 Cores with 1 hyper-thread per Core
Sat Apr 16 16:02:34 2011 -> Working with NAME = 97771_171
Sat Apr 16 16:02:34 2011 -> Selected lattice siever: gnfs-lasieve4I13e
Sat Apr 16 16:02:34 2011 -> No parameter change detected, resuming... 
Sat Apr 16 16:02:34 2011 -> Running setup ...
Sat Apr 16 16:02:34 2011 -> Estimated minimum relations needed: 1.17877e+07
Sat Apr 16 16:02:34 2011 -> resuming a block for q from 2650000 to 2750000
Sat Apr 16 16:02:34 2011 -> Running lattice siever ...
Sat Apr 16 16:02:34 2011 -> entering sieving loop
Sat Apr 16 16:02:34 2011 -> making sieve job for q = 2650000 in 2650000 .. 2675000 as file 97771_171.job.T0
Sat Apr 16 16:02:34 2011 -> making sieve job for q = 2675000 in 2675000 .. 2700000 as file 97771_171.job.T1
Sat Apr 16 16:02:34 2011 -> making sieve job for q = 2700000 in 2700000 .. 2725000 as file 97771_171.job.T2
Sat Apr 16 16:02:34 2011 -> making sieve job for q = 2725000 in 2725000 .. 2750000 as file 97771_171.job.T3
Sat Apr 16 16:02:34 2011 -> Lattice sieving rational q from 2650000 to 2750000.
Sat Apr 16 16:02:34 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_171.job.T0
Sat Apr 16 16:02:34 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_171.job.T1
Sat Apr 16 16:02:34 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_171.job.T2
Sat Apr 16 16:02:34 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_171.job.T3
Sat Apr 16 16:36:55 2011 Found 325930 relations, 2.8% of the estimated minimum (11787686).
Sat Apr 16 16:36:55 2011 LatSieveTime: 2060.61
Sat Apr 16 16:36:55 2011 -> making sieve job for q = 2750000 in 2750000 .. 2775000 as file 97771_171.job.T0
Sat Apr 16 16:36:55 2011 -> making sieve job for q = 2775000 in 2775000 .. 2800000 as file 97771_171.job.T1
Sat Apr 16 16:36:55 2011 -> making sieve job for q = 2800000 in 2800000 .. 2825000 as file 97771_171.job.T2
Sat Apr 16 16:36:55 2011 -> making sieve job for q = 2825000 in 2825000 .. 2850000 as file 97771_171.job.T3
Sat Apr 16 16:36:55 2011 -> Lattice sieving rational q from 2750000 to 2850000.
Sat Apr 16 16:36:55 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_171.job.T0
Sat Apr 16 16:36:55 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_171.job.T1
Sat Apr 16 16:36:55 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_171.job.T2
Sat Apr 16 16:36:55 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_171.job.T3
Sat Apr 16 17:01:12 2011 Found 656532 relations, 5.6% of the estimated minimum (11787686).
Sat Apr 16 17:01:12 2011 LatSieveTime: 1457.67
Sat Apr 16 17:01:12 2011 -> making sieve job for q = 2850000 in 2850000 .. 2875000 as file 97771_171.job.T0
Sat Apr 16 17:01:12 2011 -> making sieve job for q = 2875000 in 2875000 .. 2900000 as file 97771_171.job.T1
Sat Apr 16 17:01:12 2011 -> making sieve job for q = 2900000 in 2900000 .. 2925000 as file 97771_171.job.T2
Sat Apr 16 17:01:12 2011 -> making sieve job for q = 2925000 in 2925000 .. 2950000 as file 97771_171.job.T3
Sat Apr 16 17:01:12 2011 -> Lattice sieving rational q from 2850000 to 2950000.
Sat Apr 16 17:01:12 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_171.job.T0
Sat Apr 16 17:01:12 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_171.job.T1
Sat Apr 16 17:01:12 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_171.job.T2
Sat Apr 16 17:01:12 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_171.job.T3
Sat Apr 16 17:24:24 2011 Found 982259 relations, 8.3% of the estimated minimum (11787686).
Sat Apr 16 17:24:24 2011 LatSieveTime: 1391.45
Sat Apr 16 17:24:24 2011 -> making sieve job for q = 2950000 in 2950000 .. 2975000 as file 97771_171.job.T0
Sat Apr 16 17:24:24 2011 -> making sieve job for q = 2975000 in 2975000 .. 3000000 as file 97771_171.job.T1
Sat Apr 16 17:24:24 2011 -> making sieve job for q = 3000000 in 3000000 .. 3025000 as file 97771_171.job.T2
Sat Apr 16 17:24:24 2011 -> making sieve job for q = 3025000 in 3025000 .. 3050000 as file 97771_171.job.T3
Sat Apr 16 17:24:24 2011 -> Lattice sieving rational q from 2950000 to 3050000.
Sat Apr 16 17:24:24 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_171.job.T0
Sat Apr 16 17:24:24 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_171.job.T1
Sat Apr 16 17:24:24 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_171.job.T2
Sat Apr 16 17:24:24 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_171.job.T3
Sat Apr 16 17:55:50 2011 Found 1308470 relations, 11.1% of the estimated minimum (11787686).
Sat Apr 16 17:55:50 2011 LatSieveTime: 1886.14
Sat Apr 16 17:55:50 2011 -> making sieve job for q = 3050000 in 3050000 .. 3075000 as file 97771_171.job.T0
Sat Apr 16 17:55:50 2011 -> making sieve job for q = 3075000 in 3075000 .. 3100000 as file 97771_171.job.T1
Sat Apr 16 17:55:50 2011 -> making sieve job for q = 3100000 in 3100000 .. 3125000 as file 97771_171.job.T2
Sat Apr 16 17:55:50 2011 -> making sieve job for q = 3125000 in 3125000 .. 3150000 as file 97771_171.job.T3
Sat Apr 16 17:55:50 2011 -> Lattice sieving rational q from 3050000 to 3150000.
Sat Apr 16 17:55:50 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_171.job.T0
Sat Apr 16 17:55:50 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_171.job.T1
Sat Apr 16 17:55:50 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_171.job.T2
Sat Apr 16 17:55:50 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_171.job.T3
Sat Apr 16 18:33:33 2011 Found 1638394 relations, 13.9% of the estimated minimum (11787686).
Sat Apr 16 18:33:33 2011 LatSieveTime: 2263.48
Sat Apr 16 18:33:33 2011 -> making sieve job for q = 3150000 in 3150000 .. 3175000 as file 97771_171.job.T0
Sat Apr 16 18:33:33 2011 -> making sieve job for q = 3175000 in 3175000 .. 3200000 as file 97771_171.job.T1
Sat Apr 16 18:33:33 2011 -> making sieve job for q = 3200000 in 3200000 .. 3225000 as file 97771_171.job.T2
Sat Apr 16 18:33:33 2011 -> making sieve job for q = 3225000 in 3225000 .. 3250000 as file 97771_171.job.T3
Sat Apr 16 18:33:33 2011 -> Lattice sieving rational q from 3150000 to 3250000.
Sat Apr 16 18:33:33 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_171.job.T0
Sat Apr 16 18:33:33 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_171.job.T1
Sat Apr 16 18:33:33 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_171.job.T2
Sat Apr 16 18:33:33 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_171.job.T3
Sat Apr 16 19:08:36 2011 Found 1968250 relations, 16.7% of the estimated minimum (11787686).
Sat Apr 16 19:08:36 2011 LatSieveTime: 2102.17
Sat Apr 16 19:08:36 2011 -> making sieve job for q = 3250000 in 3250000 .. 3275000 as file 97771_171.job.T0
Sat Apr 16 19:08:36 2011 -> making sieve job for q = 3275000 in 3275000 .. 3300000 as file 97771_171.job.T1
Sat Apr 16 19:08:36 2011 -> making sieve job for q = 3300000 in 3300000 .. 3325000 as file 97771_171.job.T2
Sat Apr 16 19:08:36 2011 -> making sieve job for q = 3325000 in 3325000 .. 3350000 as file 97771_171.job.T3
Sat Apr 16 19:08:36 2011 -> Lattice sieving rational q from 3250000 to 3350000.
Sat Apr 16 19:08:36 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_171.job.T0
Sat Apr 16 19:08:36 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_171.job.T1
Sat Apr 16 19:08:36 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_171.job.T2
Sat Apr 16 19:08:36 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_171.job.T3
Sat Apr 16 19:32:31 2011 Found 2295276 relations, 19.5% of the estimated minimum (11787686).
Sat Apr 16 19:32:31 2011 LatSieveTime: 1435.5
Sat Apr 16 19:32:31 2011 -> making sieve job for q = 3350000 in 3350000 .. 3375000 as file 97771_171.job.T0
Sat Apr 16 19:32:31 2011 -> making sieve job for q = 3375000 in 3375000 .. 3400000 as file 97771_171.job.T1
Sat Apr 16 19:32:31 2011 -> making sieve job for q = 3400000 in 3400000 .. 3425000 as file 97771_171.job.T2
Sat Apr 16 19:32:31 2011 -> making sieve job for q = 3425000 in 3425000 .. 3450000 as file 97771_171.job.T3
Sat Apr 16 19:32:31 2011 -> Lattice sieving rational q from 3350000 to 3450000.
Sat Apr 16 19:32:31 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_171.job.T0
Sat Apr 16 19:32:31 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_171.job.T1
Sat Apr 16 19:32:31 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_171.job.T2
Sat Apr 16 19:32:31 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_171.job.T3
Sat Apr 16 19:56:21 2011 Found 2625162 relations, 22.3% of the estimated minimum (11787686).
Sat Apr 16 19:56:21 2011 LatSieveTime: 1429.53
Sat Apr 16 19:56:21 2011 -> making sieve job for q = 3450000 in 3450000 .. 3475000 as file 97771_171.job.T0
Sat Apr 16 19:56:21 2011 -> making sieve job for q = 3475000 in 3475000 .. 3500000 as file 97771_171.job.T1
Sat Apr 16 19:56:21 2011 -> making sieve job for q = 3500000 in 3500000 .. 3525000 as file 97771_171.job.T2
Sat Apr 16 19:56:21 2011 -> making sieve job for q = 3525000 in 3525000 .. 3550000 as file 97771_171.job.T3
Sat Apr 16 19:56:21 2011 -> Lattice sieving rational q from 3450000 to 3550000.
Sat Apr 16 19:56:21 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_171.job.T0
Sat Apr 16 19:56:21 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_171.job.T1
Sat Apr 16 19:56:21 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_171.job.T2
Sat Apr 16 19:56:21 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_171.job.T3
Sat Apr 16 20:19:22 2011 Found 2945862 relations, 25.0% of the estimated minimum (11787686).
Sat Apr 16 20:19:22 2011 LatSieveTime: 1381.56
Sat Apr 16 20:19:22 2011 -> making sieve job for q = 3550000 in 3550000 .. 3575000 as file 97771_171.job.T0
Sat Apr 16 20:19:22 2011 -> making sieve job for q = 3575000 in 3575000 .. 3600000 as file 97771_171.job.T1
Sat Apr 16 20:19:22 2011 -> making sieve job for q = 3600000 in 3600000 .. 3625000 as file 97771_171.job.T2
Sat Apr 16 20:19:22 2011 -> making sieve job for q = 3625000 in 3625000 .. 3650000 as file 97771_171.job.T3
Sat Apr 16 20:19:22 2011 -> Lattice sieving rational q from 3550000 to 3650000.
Sat Apr 16 20:19:22 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_171.job.T0
Sat Apr 16 20:19:22 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_171.job.T1
Sat Apr 16 20:19:22 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_171.job.T2
Sat Apr 16 20:19:22 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_171.job.T3
Sat Apr 16 20:43:35 2011 Found 3273329 relations, 27.8% of the estimated minimum (11787686).
Sat Apr 16 20:43:35 2011 LatSieveTime: 1453.11
Sat Apr 16 20:43:35 2011 -> making sieve job for q = 3650000 in 3650000 .. 3675000 as file 97771_171.job.T0
Sat Apr 16 20:43:35 2011 -> making sieve job for q = 3675000 in 3675000 .. 3700000 as file 97771_171.job.T1
Sat Apr 16 20:43:35 2011 -> making sieve job for q = 3700000 in 3700000 .. 3725000 as file 97771_171.job.T2
Sat Apr 16 20:43:35 2011 -> making sieve job for q = 3725000 in 3725000 .. 3750000 as file 97771_171.job.T3
Sat Apr 16 20:43:35 2011 -> Lattice sieving rational q from 3650000 to 3750000.
Sat Apr 16 20:43:35 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_171.job.T0
Sat Apr 16 20:43:35 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_171.job.T1
Sat Apr 16 20:43:35 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_171.job.T2
Sat Apr 16 20:43:35 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_171.job.T3
Sat Apr 16 21:07:44 2011 Found 3601030 relations, 30.5% of the estimated minimum (11787686).
Sat Apr 16 21:07:44 2011 LatSieveTime: 1448.91
Sat Apr 16 21:07:44 2011 -> making sieve job for q = 3750000 in 3750000 .. 3775000 as file 97771_171.job.T0
Sat Apr 16 21:07:44 2011 -> making sieve job for q = 3775000 in 3775000 .. 3800000 as file 97771_171.job.T1
Sat Apr 16 21:07:44 2011 -> making sieve job for q = 3800000 in 3800000 .. 3825000 as file 97771_171.job.T2
Sat Apr 16 21:07:44 2011 -> making sieve job for q = 3825000 in 3825000 .. 3850000 as file 97771_171.job.T3
Sat Apr 16 21:07:44 2011 -> Lattice sieving rational q from 3750000 to 3850000.
Sat Apr 16 21:07:44 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_171.job.T0
Sat Apr 16 21:07:44 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_171.job.T1
Sat Apr 16 21:07:44 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_171.job.T2
Sat Apr 16 21:07:44 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_171.job.T3
Sat Apr 16 21:31:33 2011 Found 3923385 relations, 33.3% of the estimated minimum (11787686).
Sat Apr 16 21:31:33 2011 LatSieveTime: 1429.08
Sat Apr 16 21:31:33 2011 -> making sieve job for q = 3850000 in 3850000 .. 3875000 as file 97771_171.job.T0
Sat Apr 16 21:31:33 2011 -> making sieve job for q = 3875000 in 3875000 .. 3900000 as file 97771_171.job.T1
Sat Apr 16 21:31:33 2011 -> making sieve job for q = 3900000 in 3900000 .. 3925000 as file 97771_171.job.T2
Sat Apr 16 21:31:33 2011 -> making sieve job for q = 3925000 in 3925000 .. 3950000 as file 97771_171.job.T3
Sat Apr 16 21:31:33 2011 -> Lattice sieving rational q from 3850000 to 3950000.
Sat Apr 16 21:31:33 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_171.job.T0
Sat Apr 16 21:31:33 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_171.job.T1
Sat Apr 16 21:31:33 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_171.job.T2
Sat Apr 16 21:31:33 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_171.job.T3
Sat Apr 16 22:03:52 2011 Found 4245964 relations, 36.0% of the estimated minimum (11787686).
Sat Apr 16 22:03:52 2011 LatSieveTime: 1938.25
Sat Apr 16 22:03:52 2011 -> making sieve job for q = 3950000 in 3950000 .. 3975000 as file 97771_171.job.T0
Sat Apr 16 22:03:52 2011 -> making sieve job for q = 3975000 in 3975000 .. 4000000 as file 97771_171.job.T1
Sat Apr 16 22:03:52 2011 -> making sieve job for q = 4000000 in 4000000 .. 4025000 as file 97771_171.job.T2
Sat Apr 16 22:03:52 2011 -> making sieve job for q = 4025000 in 4025000 .. 4050000 as file 97771_171.job.T3
Sat Apr 16 22:03:52 2011 -> Lattice sieving rational q from 3950000 to 4050000.
Sat Apr 16 22:03:52 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_171.job.T0
Sat Apr 16 22:03:52 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_171.job.T1
Sat Apr 16 22:03:52 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_171.job.T2
Sat Apr 16 22:03:52 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_171.job.T3
Sat Apr 16 22:50:02 2011 Found 4567123 relations, 38.7% of the estimated minimum (11787686).
Sat Apr 16 22:50:02 2011 LatSieveTime: 2770.67
Sat Apr 16 22:50:02 2011 -> making sieve job for q = 4050000 in 4050000 .. 4075000 as file 97771_171.job.T0
Sat Apr 16 22:50:02 2011 -> making sieve job for q = 4075000 in 4075000 .. 4100000 as file 97771_171.job.T1
Sat Apr 16 22:50:02 2011 -> making sieve job for q = 4100000 in 4100000 .. 4125000 as file 97771_171.job.T2
Sat Apr 16 22:50:02 2011 -> making sieve job for q = 4125000 in 4125000 .. 4150000 as file 97771_171.job.T3
Sat Apr 16 22:50:02 2011 -> Lattice sieving rational q from 4050000 to 4150000.
Sat Apr 16 22:50:02 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_171.job.T0
Sat Apr 16 22:50:02 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_171.job.T1
Sat Apr 16 22:50:02 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_171.job.T2
Sat Apr 16 22:50:02 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_171.job.T3
Sat Apr 16 23:34:42 2011 Found 4885412 relations, 41.4% of the estimated minimum (11787686).
Sat Apr 16 23:34:42 2011 LatSieveTime: 2679.91
Sat Apr 16 23:34:42 2011 -> making sieve job for q = 4150000 in 4150000 .. 4175000 as file 97771_171.job.T0
Sat Apr 16 23:34:42 2011 -> making sieve job for q = 4175000 in 4175000 .. 4200000 as file 97771_171.job.T1
Sat Apr 16 23:34:42 2011 -> making sieve job for q = 4200000 in 4200000 .. 4225000 as file 97771_171.job.T2
Sat Apr 16 23:34:42 2011 -> making sieve job for q = 4225000 in 4225000 .. 4250000 as file 97771_171.job.T3
Sat Apr 16 23:34:42 2011 -> Lattice sieving rational q from 4150000 to 4250000.
Sat Apr 16 23:34:42 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_171.job.T0
Sat Apr 16 23:34:42 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_171.job.T1
Sat Apr 16 23:34:42 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_171.job.T2
Sat Apr 16 23:34:42 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_171.job.T3
Sun Apr 17 00:14:47 2011 Found 5205346 relations, 44.2% of the estimated minimum (11787686).
Sun Apr 17 00:14:47 2011 LatSieveTime: 2404.69
Sun Apr 17 00:14:47 2011 -> making sieve job for q = 4250000 in 4250000 .. 4275000 as file 97771_171.job.T0
Sun Apr 17 00:14:47 2011 -> making sieve job for q = 4275000 in 4275000 .. 4300000 as file 97771_171.job.T1
Sun Apr 17 00:14:47 2011 -> making sieve job for q = 4300000 in 4300000 .. 4325000 as file 97771_171.job.T2
Sun Apr 17 00:14:47 2011 -> making sieve job for q = 4325000 in 4325000 .. 4350000 as file 97771_171.job.T3
Sun Apr 17 00:14:47 2011 -> Lattice sieving rational q from 4250000 to 4350000.
Sun Apr 17 00:14:47 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_171.job.T0
Sun Apr 17 00:14:47 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_171.job.T1
Sun Apr 17 00:14:47 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_171.job.T2
Sun Apr 17 00:14:47 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_171.job.T3
Sun Apr 17 00:38:36 2011 Found 5520223 relations, 46.8% of the estimated minimum (11787686).
Sun Apr 17 00:38:36 2011 LatSieveTime: 1428.94
Sun Apr 17 00:38:36 2011 -> making sieve job for q = 4350000 in 4350000 .. 4375000 as file 97771_171.job.T0
Sun Apr 17 00:38:36 2011 -> making sieve job for q = 4375000 in 4375000 .. 4400000 as file 97771_171.job.T1
Sun Apr 17 00:38:36 2011 -> making sieve job for q = 4400000 in 4400000 .. 4425000 as file 97771_171.job.T2
Sun Apr 17 00:38:36 2011 -> making sieve job for q = 4425000 in 4425000 .. 4450000 as file 97771_171.job.T3
Sun Apr 17 00:38:36 2011 -> Lattice sieving rational q from 4350000 to 4450000.
Sun Apr 17 00:38:36 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_171.job.T0
Sun Apr 17 00:38:36 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_171.job.T1
Sun Apr 17 00:38:36 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_171.job.T2
Sun Apr 17 00:38:36 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_171.job.T3
Sun Apr 17 01:03:01 2011 Found 5839622 relations, 49.5% of the estimated minimum (11787686).
Sun Apr 17 01:03:01 2011 LatSieveTime: 1464.88
Sun Apr 17 01:03:01 2011 -> making sieve job for q = 4450000 in 4450000 .. 4475000 as file 97771_171.job.T0
Sun Apr 17 01:03:01 2011 -> making sieve job for q = 4475000 in 4475000 .. 4500000 as file 97771_171.job.T1
Sun Apr 17 01:03:01 2011 -> making sieve job for q = 4500000 in 4500000 .. 4525000 as file 97771_171.job.T2
Sun Apr 17 01:03:01 2011 -> making sieve job for q = 4525000 in 4525000 .. 4550000 as file 97771_171.job.T3
Sun Apr 17 01:03:01 2011 -> Lattice sieving rational q from 4450000 to 4550000.
Sun Apr 17 01:03:01 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_171.job.T0
Sun Apr 17 01:03:01 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_171.job.T1
Sun Apr 17 01:03:01 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_171.job.T2
Sun Apr 17 01:03:01 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_171.job.T3
Sun Apr 17 01:26:50 2011 Found 6154329 relations, 52.2% of the estimated minimum (11787686).
Sun Apr 17 01:26:50 2011 LatSieveTime: 1429.34
Sun Apr 17 01:26:50 2011 -> making sieve job for q = 4550000 in 4550000 .. 4575000 as file 97771_171.job.T0
Sun Apr 17 01:26:50 2011 -> making sieve job for q = 4575000 in 4575000 .. 4600000 as file 97771_171.job.T1
Sun Apr 17 01:26:50 2011 -> making sieve job for q = 4600000 in 4600000 .. 4625000 as file 97771_171.job.T2
Sun Apr 17 01:26:50 2011 -> making sieve job for q = 4625000 in 4625000 .. 4650000 as file 97771_171.job.T3
Sun Apr 17 01:26:50 2011 -> Lattice sieving rational q from 4550000 to 4650000.
Sun Apr 17 01:26:50 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_171.job.T0
Sun Apr 17 01:26:50 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_171.job.T1
Sun Apr 17 01:26:50 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_171.job.T2
Sun Apr 17 01:26:50 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_171.job.T3
Sun Apr 17 01:51:11 2011 Found 6469078 relations, 54.9% of the estimated minimum (11787686).
Sun Apr 17 01:51:11 2011 LatSieveTime: 1460.52
Sun Apr 17 01:51:11 2011 -> making sieve job for q = 4650000 in 4650000 .. 4675000 as file 97771_171.job.T0
Sun Apr 17 01:51:11 2011 -> making sieve job for q = 4675000 in 4675000 .. 4700000 as file 97771_171.job.T1
Sun Apr 17 01:51:11 2011 -> making sieve job for q = 4700000 in 4700000 .. 4725000 as file 97771_171.job.T2
Sun Apr 17 01:51:11 2011 -> making sieve job for q = 4725000 in 4725000 .. 4750000 as file 97771_171.job.T3
Sun Apr 17 01:51:11 2011 -> Lattice sieving rational q from 4650000 to 4750000.
Sun Apr 17 01:51:11 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_171.job.T0
Sun Apr 17 01:51:11 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_171.job.T1
Sun Apr 17 01:51:11 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_171.job.T2
Sun Apr 17 01:51:11 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_171.job.T3
Sun Apr 17 02:15:14 2011 Found 6781880 relations, 57.5% of the estimated minimum (11787686).
Sun Apr 17 02:15:14 2011 LatSieveTime: 1443.36
Sun Apr 17 02:15:14 2011 -> making sieve job for q = 4750000 in 4750000 .. 4775000 as file 97771_171.job.T0
Sun Apr 17 02:15:14 2011 -> making sieve job for q = 4775000 in 4775000 .. 4800000 as file 97771_171.job.T1
Sun Apr 17 02:15:14 2011 -> making sieve job for q = 4800000 in 4800000 .. 4825000 as file 97771_171.job.T2
Sun Apr 17 02:15:14 2011 -> making sieve job for q = 4825000 in 4825000 .. 4850000 as file 97771_171.job.T3
Sun Apr 17 02:15:14 2011 -> Lattice sieving rational q from 4750000 to 4850000.
Sun Apr 17 02:15:14 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_171.job.T0
Sun Apr 17 02:15:14 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_171.job.T1
Sun Apr 17 02:15:14 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_171.job.T2
Sun Apr 17 02:15:14 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_171.job.T3
Sun Apr 17 02:39:30 2011 Found 7092411 relations, 60.2% of the estimated minimum (11787686).
Sun Apr 17 02:39:30 2011 LatSieveTime: 1456.44
Sun Apr 17 02:39:30 2011 -> making sieve job for q = 4850000 in 4850000 .. 4875000 as file 97771_171.job.T0
Sun Apr 17 02:39:30 2011 -> making sieve job for q = 4875000 in 4875000 .. 4900000 as file 97771_171.job.T1
Sun Apr 17 02:39:30 2011 -> making sieve job for q = 4900000 in 4900000 .. 4925000 as file 97771_171.job.T2
Sun Apr 17 02:39:30 2011 -> making sieve job for q = 4925000 in 4925000 .. 4950000 as file 97771_171.job.T3
Sun Apr 17 02:39:30 2011 -> Lattice sieving rational q from 4850000 to 4950000.
Sun Apr 17 02:39:30 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_171.job.T0
Sun Apr 17 02:39:30 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_171.job.T1
Sun Apr 17 02:39:30 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_171.job.T2
Sun Apr 17 02:39:30 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_171.job.T3
Sun Apr 17 03:03:55 2011 Found 7406097 relations, 62.8% of the estimated minimum (11787686).
Sun Apr 17 03:03:55 2011 LatSieveTime: 1464.77
Sun Apr 17 03:03:55 2011 -> making sieve job for q = 4950000 in 4950000 .. 4975000 as file 97771_171.job.T0
Sun Apr 17 03:03:55 2011 -> making sieve job for q = 4975000 in 4975000 .. 5000000 as file 97771_171.job.T1
Sun Apr 17 03:03:55 2011 -> making sieve job for q = 5000000 in 5000000 .. 5025000 as file 97771_171.job.T2
Sun Apr 17 03:03:55 2011 -> making sieve job for q = 5025000 in 5025000 .. 5050000 as file 97771_171.job.T3
Sun Apr 17 03:03:55 2011 -> Lattice sieving rational q from 4950000 to 5050000.
Sun Apr 17 03:03:55 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_171.job.T0
Sun Apr 17 03:03:55 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_171.job.T1
Sun Apr 17 03:03:55 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_171.job.T2
Sun Apr 17 03:03:55 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_171.job.T3
Sun Apr 17 03:27:54 2011 Found 7712449 relations, 65.4% of the estimated minimum (11787686).
Sun Apr 17 03:27:54 2011 LatSieveTime: 1438.69
Sun Apr 17 03:27:54 2011 -> making sieve job for q = 5050000 in 5050000 .. 5075000 as file 97771_171.job.T0
Sun Apr 17 03:27:54 2011 -> making sieve job for q = 5075000 in 5075000 .. 5100000 as file 97771_171.job.T1
Sun Apr 17 03:27:54 2011 -> making sieve job for q = 5100000 in 5100000 .. 5125000 as file 97771_171.job.T2
Sun Apr 17 03:27:54 2011 -> making sieve job for q = 5125000 in 5125000 .. 5150000 as file 97771_171.job.T3
Sun Apr 17 03:27:54 2011 -> Lattice sieving rational q from 5050000 to 5150000.
Sun Apr 17 03:27:54 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_171.job.T0
Sun Apr 17 03:27:54 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_171.job.T1
Sun Apr 17 03:27:54 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_171.job.T2
Sun Apr 17 03:27:54 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_171.job.T3
Sun Apr 17 03:52:05 2011 Found 8020983 relations, 68.0% of the estimated minimum (11787686).
Sun Apr 17 03:52:05 2011 LatSieveTime: 1450.89
Sun Apr 17 03:52:05 2011 -> making sieve job for q = 5150000 in 5150000 .. 5175000 as file 97771_171.job.T0
Sun Apr 17 03:52:05 2011 -> making sieve job for q = 5175000 in 5175000 .. 5200000 as file 97771_171.job.T1
Sun Apr 17 03:52:05 2011 -> making sieve job for q = 5200000 in 5200000 .. 5225000 as file 97771_171.job.T2
Sun Apr 17 03:52:05 2011 -> making sieve job for q = 5225000 in 5225000 .. 5250000 as file 97771_171.job.T3
Sun Apr 17 03:52:05 2011 -> Lattice sieving rational q from 5150000 to 5250000.
Sun Apr 17 03:52:05 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_171.job.T0
Sun Apr 17 03:52:05 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_171.job.T1
Sun Apr 17 03:52:05 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_171.job.T2
Sun Apr 17 03:52:05 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_171.job.T3
Sun Apr 17 04:16:22 2011 Found 8328447 relations, 70.7% of the estimated minimum (11787686).
Sun Apr 17 04:16:22 2011 LatSieveTime: 1457.23
Sun Apr 17 04:16:22 2011 -> making sieve job for q = 5250000 in 5250000 .. 5275000 as file 97771_171.job.T0
Sun Apr 17 04:16:22 2011 -> making sieve job for q = 5275000 in 5275000 .. 5300000 as file 97771_171.job.T1
Sun Apr 17 04:16:22 2011 -> making sieve job for q = 5300000 in 5300000 .. 5325000 as file 97771_171.job.T2
Sun Apr 17 04:16:22 2011 -> making sieve job for q = 5325000 in 5325000 .. 5350000 as file 97771_171.job.T3
Sun Apr 17 04:16:22 2011 -> Lattice sieving rational q from 5250000 to 5350000.
Sun Apr 17 04:16:22 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_171.job.T0
Sun Apr 17 04:16:22 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_171.job.T1
Sun Apr 17 04:16:22 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_171.job.T2
Sun Apr 17 04:16:22 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_171.job.T3
Sun Apr 17 04:40:40 2011 Found 8633826 relations, 73.2% of the estimated minimum (11787686).
Sun Apr 17 04:40:40 2011 LatSieveTime: 1458.36
Sun Apr 17 04:40:40 2011 -> making sieve job for q = 5350000 in 5350000 .. 5375000 as file 97771_171.job.T0
Sun Apr 17 04:40:40 2011 -> making sieve job for q = 5375000 in 5375000 .. 5400000 as file 97771_171.job.T1
Sun Apr 17 04:40:40 2011 -> making sieve job for q = 5400000 in 5400000 .. 5425000 as file 97771_171.job.T2
Sun Apr 17 04:40:40 2011 -> making sieve job for q = 5425000 in 5425000 .. 5450000 as file 97771_171.job.T3
Sun Apr 17 04:40:40 2011 -> Lattice sieving rational q from 5350000 to 5450000.
Sun Apr 17 04:40:40 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_171.job.T0
Sun Apr 17 04:40:40 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_171.job.T1
Sun Apr 17 04:40:40 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_171.job.T2
Sun Apr 17 04:40:40 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_171.job.T3
Sun Apr 17 05:04:50 2011 Found 8936564 relations, 75.8% of the estimated minimum (11787686).
Sun Apr 17 05:04:50 2011 LatSieveTime: 1449.38
Sun Apr 17 05:04:50 2011 -> making sieve job for q = 5450000 in 5450000 .. 5475000 as file 97771_171.job.T0
Sun Apr 17 05:04:50 2011 -> making sieve job for q = 5475000 in 5475000 .. 5500000 as file 97771_171.job.T1
Sun Apr 17 05:04:50 2011 -> making sieve job for q = 5500000 in 5500000 .. 5525000 as file 97771_171.job.T2
Sun Apr 17 05:04:50 2011 -> making sieve job for q = 5525000 in 5525000 .. 5550000 as file 97771_171.job.T3
Sun Apr 17 05:04:50 2011 -> Lattice sieving rational q from 5450000 to 5550000.
Sun Apr 17 05:04:50 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_171.job.T0
Sun Apr 17 05:04:50 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_171.job.T1
Sun Apr 17 05:04:50 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_171.job.T2
Sun Apr 17 05:04:50 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_171.job.T3
Sun Apr 17 05:28:51 2011 Found 9237681 relations, 78.4% of the estimated minimum (11787686).
Sun Apr 17 05:28:51 2011 LatSieveTime: 1441.42
Sun Apr 17 05:28:51 2011 -> making sieve job for q = 5550000 in 5550000 .. 5575000 as file 97771_171.job.T0
Sun Apr 17 05:28:51 2011 -> making sieve job for q = 5575000 in 5575000 .. 5600000 as file 97771_171.job.T1
Sun Apr 17 05:28:51 2011 -> making sieve job for q = 5600000 in 5600000 .. 5625000 as file 97771_171.job.T2
Sun Apr 17 05:28:51 2011 -> making sieve job for q = 5625000 in 5625000 .. 5650000 as file 97771_171.job.T3
Sun Apr 17 05:28:51 2011 -> Lattice sieving rational q from 5550000 to 5650000.
Sun Apr 17 05:28:51 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_171.job.T0
Sun Apr 17 05:28:51 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_171.job.T1
Sun Apr 17 05:28:51 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_171.job.T2
Sun Apr 17 05:28:51 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_171.job.T3
Sun Apr 17 05:52:51 2011 Found 9536605 relations, 80.9% of the estimated minimum (11787686).
Sun Apr 17 05:52:51 2011 LatSieveTime: 1439.61
Sun Apr 17 05:52:51 2011 -> making sieve job for q = 5650000 in 5650000 .. 5675000 as file 97771_171.job.T0
Sun Apr 17 05:52:51 2011 -> making sieve job for q = 5675000 in 5675000 .. 5700000 as file 97771_171.job.T1
Sun Apr 17 05:52:51 2011 -> making sieve job for q = 5700000 in 5700000 .. 5725000 as file 97771_171.job.T2
Sun Apr 17 05:52:51 2011 -> making sieve job for q = 5725000 in 5725000 .. 5750000 as file 97771_171.job.T3
Sun Apr 17 05:52:51 2011 -> Lattice sieving rational q from 5650000 to 5750000.
Sun Apr 17 05:52:51 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_171.job.T0
Sun Apr 17 05:52:51 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_171.job.T1
Sun Apr 17 05:52:51 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_171.job.T2
Sun Apr 17 05:52:51 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_171.job.T3
Sun Apr 17 06:17:13 2011 Found 9835142 relations, 83.4% of the estimated minimum (11787686).
Sun Apr 17 06:17:13 2011 LatSieveTime: 1461.89
Sun Apr 17 06:17:13 2011 -> making sieve job for q = 5750000 in 5750000 .. 5775000 as file 97771_171.job.T0
Sun Apr 17 06:17:13 2011 -> making sieve job for q = 5775000 in 5775000 .. 5800000 as file 97771_171.job.T1
Sun Apr 17 06:17:13 2011 -> making sieve job for q = 5800000 in 5800000 .. 5825000 as file 97771_171.job.T2
Sun Apr 17 06:17:13 2011 -> making sieve job for q = 5825000 in 5825000 .. 5850000 as file 97771_171.job.T3
Sun Apr 17 06:17:13 2011 -> Lattice sieving rational q from 5750000 to 5850000.
Sun Apr 17 06:17:13 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_171.job.T0
Sun Apr 17 06:17:13 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_171.job.T1
Sun Apr 17 06:17:13 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_171.job.T2
Sun Apr 17 06:17:13 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_171.job.T3
Sun Apr 17 06:41:18 2011 Found 10128734 relations, 85.9% of the estimated minimum (11787686).
Sun Apr 17 06:41:18 2011 LatSieveTime: 1444.92
Sun Apr 17 06:41:18 2011 -> making sieve job for q = 5850000 in 5850000 .. 5875000 as file 97771_171.job.T0
Sun Apr 17 06:41:18 2011 -> making sieve job for q = 5875000 in 5875000 .. 5900000 as file 97771_171.job.T1
Sun Apr 17 06:41:18 2011 -> making sieve job for q = 5900000 in 5900000 .. 5925000 as file 97771_171.job.T2
Sun Apr 17 06:41:18 2011 -> making sieve job for q = 5925000 in 5925000 .. 5950000 as file 97771_171.job.T3
Sun Apr 17 06:41:18 2011 -> Lattice sieving rational q from 5850000 to 5950000.
Sun Apr 17 06:41:18 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_171.job.T0
Sun Apr 17 06:41:18 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_171.job.T1
Sun Apr 17 06:41:18 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_171.job.T2
Sun Apr 17 06:41:18 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_171.job.T3
Sun Apr 17 07:05:55 2011 Found 10425549 relations, 88.4% of the estimated minimum (11787686).
Sun Apr 17 07:05:55 2011 LatSieveTime: 1477.05
Sun Apr 17 07:05:55 2011 -> making sieve job for q = 5950000 in 5950000 .. 5975000 as file 97771_171.job.T0
Sun Apr 17 07:05:55 2011 -> making sieve job for q = 5975000 in 5975000 .. 6000000 as file 97771_171.job.T1
Sun Apr 17 07:05:55 2011 -> making sieve job for q = 6000000 in 6000000 .. 6025000 as file 97771_171.job.T2
Sun Apr 17 07:05:55 2011 -> making sieve job for q = 6025000 in 6025000 .. 6050000 as file 97771_171.job.T3
Sun Apr 17 07:05:55 2011 -> Lattice sieving rational q from 5950000 to 6050000.
Sun Apr 17 07:05:55 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_171.job.T0
Sun Apr 17 07:05:55 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_171.job.T1
Sun Apr 17 07:05:55 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_171.job.T2
Sun Apr 17 07:05:55 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_171.job.T3
Sun Apr 17 07:30:17 2011 Found 10715444 relations, 90.9% of the estimated minimum (11787686).
Sun Apr 17 07:30:17 2011 LatSieveTime: 1462.16
Sun Apr 17 07:30:17 2011 -> making sieve job for q = 6050000 in 6050000 .. 6075000 as file 97771_171.job.T0
Sun Apr 17 07:30:17 2011 -> making sieve job for q = 6075000 in 6075000 .. 6100000 as file 97771_171.job.T1
Sun Apr 17 07:30:17 2011 -> making sieve job for q = 6100000 in 6100000 .. 6125000 as file 97771_171.job.T2
Sun Apr 17 07:30:17 2011 -> making sieve job for q = 6125000 in 6125000 .. 6150000 as file 97771_171.job.T3
Sun Apr 17 07:30:17 2011 -> Lattice sieving rational q from 6050000 to 6150000.
Sun Apr 17 07:30:17 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_171.job.T0
Sun Apr 17 07:30:17 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_171.job.T1
Sun Apr 17 07:30:17 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_171.job.T2
Sun Apr 17 07:30:17 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_171.job.T3
Sun Apr 17 07:54:18 2011 Found 11006064 relations, 93.4% of the estimated minimum (11787686).
Sun Apr 17 07:54:18 2011 LatSieveTime: 1441.45
Sun Apr 17 07:54:18 2011 -> making sieve job for q = 6150000 in 6150000 .. 6175000 as file 97771_171.job.T0
Sun Apr 17 07:54:18 2011 -> making sieve job for q = 6175000 in 6175000 .. 6200000 as file 97771_171.job.T1
Sun Apr 17 07:54:18 2011 -> making sieve job for q = 6200000 in 6200000 .. 6225000 as file 97771_171.job.T2
Sun Apr 17 07:54:18 2011 -> making sieve job for q = 6225000 in 6225000 .. 6250000 as file 97771_171.job.T3
Sun Apr 17 07:54:18 2011 -> Lattice sieving rational q from 6150000 to 6250000.
Sun Apr 17 07:54:18 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_171.job.T0
Sun Apr 17 07:54:18 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_171.job.T1
Sun Apr 17 07:54:18 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_171.job.T2
Sun Apr 17 07:54:18 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_171.job.T3
Sun Apr 17 08:18:07 2011 Found 11292787 relations, 95.8% of the estimated minimum (11787686).
Sun Apr 17 08:18:07 2011 LatSieveTime: 1428.44
Sun Apr 17 08:18:07 2011 -> making sieve job for q = 6250000 in 6250000 .. 6275000 as file 97771_171.job.T0
Sun Apr 17 08:18:07 2011 -> making sieve job for q = 6275000 in 6275000 .. 6300000 as file 97771_171.job.T1
Sun Apr 17 08:18:07 2011 -> making sieve job for q = 6300000 in 6300000 .. 6325000 as file 97771_171.job.T2
Sun Apr 17 08:18:07 2011 -> making sieve job for q = 6325000 in 6325000 .. 6350000 as file 97771_171.job.T3
Sun Apr 17 08:18:07 2011 -> Lattice sieving rational q from 6250000 to 6350000.
Sun Apr 17 08:18:07 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_171.job.T0
Sun Apr 17 08:18:07 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_171.job.T1
Sun Apr 17 08:18:07 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_171.job.T2
Sun Apr 17 08:18:07 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_171.job.T3
Sun Apr 17 08:42:15 2011 Found 11582219 relations, 98.3% of the estimated minimum (11787686).
Sun Apr 17 08:42:15 2011 LatSieveTime: 1447.73
Sun Apr 17 08:42:15 2011 -> making sieve job for q = 6350000 in 6350000 .. 6375000 as file 97771_171.job.T0
Sun Apr 17 08:42:15 2011 -> making sieve job for q = 6375000 in 6375000 .. 6400000 as file 97771_171.job.T1
Sun Apr 17 08:42:15 2011 -> making sieve job for q = 6400000 in 6400000 .. 6425000 as file 97771_171.job.T2
Sun Apr 17 08:42:15 2011 -> making sieve job for q = 6425000 in 6425000 .. 6450000 as file 97771_171.job.T3
Sun Apr 17 08:42:15 2011 -> Lattice sieving rational q from 6350000 to 6450000.
Sun Apr 17 08:42:15 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_171.job.T0
Sun Apr 17 08:42:15 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_171.job.T1
Sun Apr 17 08:42:15 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_171.job.T2
Sun Apr 17 08:42:15 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_171.job.T3
Sun Apr 17 09:06:06 2011 Found 11863936 relations, 100.6% of the estimated minimum (11787686).
Sun Apr 17 09:06:06 2011  
Sun Apr 17 09:06:06 2011  
Sun Apr 17 09:06:06 2011  Msieve v. 1.48
Sun Apr 17 09:06:06 2011  random seeds: a4081280 02e475ec
Sun Apr 17 09:06:06 2011  factoring 3130619640058487712781463911765084249151608827524108355961845699280810995726917279988370523312196022806598728018215251383959906624835302588284177 (145 digits)
Sun Apr 17 09:06:08 2011  searching for 15-digit factors
Sun Apr 17 09:06:08 2011  commencing number field sieve (145-digit input)
Sun Apr 17 09:06:08 2011  R0: -10000000000000000000000000000000000
Sun Apr 17 09:06:08 2011  R1:  1
Sun Apr 17 09:06:08 2011  A0: -61
Sun Apr 17 09:06:08 2011  A1:  0
Sun Apr 17 09:06:08 2011  A2:  0
Sun Apr 17 09:06:08 2011  A3:  0
Sun Apr 17 09:06:08 2011  A4:  0
Sun Apr 17 09:06:08 2011  A5:  880
Sun Apr 17 09:06:08 2011  skew 0.59, size 3.635e-012, alpha -0.042, combined = 1.823e-010 rroots = 1
Sun Apr 17 09:06:08 2011  
Sun Apr 17 09:06:08 2011  commencing relation filtering
Sun Apr 17 09:06:08 2011  estimated available RAM is 2047.2 MB
Sun Apr 17 09:06:08 2011  commencing duplicate removal, pass 1
Sun Apr 17 09:07:24 2011  found 1547126 hash collisions in 11863935 relations
Sun Apr 17 09:08:06 2011  added 374753 free relations
Sun Apr 17 09:08:06 2011  commencing duplicate removal, pass 2
Sun Apr 17 09:08:14 2011  found 1290604 duplicates and 10948084 unique relations
Sun Apr 17 09:08:14 2011  memory use: 49.3 MB
Sun Apr 17 09:08:14 2011  reading ideals above 6356992
Sun Apr 17 09:08:18 2011  commencing singleton removal, initial pass
Sun Apr 17 09:09:53 2011  memory use: 344.5 MB
Sun Apr 17 09:09:53 2011  reading all ideals from disk
Sun Apr 17 09:09:54 2011  memory use: 195.7 MB
Sun Apr 17 09:09:55 2011  commencing in-memory singleton removal
Sun Apr 17 09:09:56 2011  begin with 10948084 relations and 10647419 unique ideals
Sun Apr 17 09:10:05 2011  reduce to 5351305 relations and 4028335 ideals in 14 passes
Sun Apr 17 09:10:05 2011  max relations containing the same ideal: 44
Sun Apr 17 09:10:06 2011  reading ideals above 100000
Sun Apr 17 09:10:06 2011  commencing singleton removal, initial pass
Sun Apr 17 09:11:02 2011  memory use: 94.1 MB
Sun Apr 17 09:11:02 2011  reading all ideals from disk
Sun Apr 17 09:11:02 2011  memory use: 196.6 MB
Sun Apr 17 09:11:03 2011  keeping 4879258 ideals with weight <= 200, target excess is 28802
Sun Apr 17 09:11:05 2011  commencing in-memory singleton removal
Sun Apr 17 09:11:06 2011  begin with 5352791 relations and 4879258 unique ideals
Sun Apr 17 09:11:14 2011  reduce to 5349916 relations and 4869430 ideals in 7 passes
Sun Apr 17 09:11:14 2011  max relations containing the same ideal: 200
Sun Apr 17 09:11:19 2011  removing 1201908 relations and 978370 ideals in 223538 cliques
Sun Apr 17 09:11:20 2011  commencing in-memory singleton removal
Sun Apr 17 09:11:21 2011  begin with 4148008 relations and 4869430 unique ideals
Sun Apr 17 09:11:29 2011  reduce to 3964743 relations and 3698399 ideals in 9 passes
Sun Apr 17 09:11:29 2011  max relations containing the same ideal: 169
Sun Apr 17 09:11:33 2011  removing 921055 relations and 697517 ideals in 223538 cliques
Sun Apr 17 09:11:33 2011  commencing in-memory singleton removal
Sun Apr 17 09:11:34 2011  begin with 3043688 relations and 3698399 unique ideals
Sun Apr 17 09:11:40 2011  reduce to 2887719 relations and 2836213 ideals in 10 passes
Sun Apr 17 09:11:40 2011  max relations containing the same ideal: 139
Sun Apr 17 09:11:43 2011  removing 127559 relations and 109464 ideals in 18095 cliques
Sun Apr 17 09:11:43 2011  commencing in-memory singleton removal
Sun Apr 17 09:11:44 2011  begin with 2760160 relations and 2836213 unique ideals
Sun Apr 17 09:11:47 2011  reduce to 2756581 relations and 2723141 ideals in 5 passes
Sun Apr 17 09:11:47 2011  max relations containing the same ideal: 135
Sun Apr 17 09:11:48 2011  relations with 0 large ideals: 665
Sun Apr 17 09:11:48 2011  relations with 1 large ideals: 62
Sun Apr 17 09:11:48 2011  relations with 2 large ideals: 840
Sun Apr 17 09:11:48 2011  relations with 3 large ideals: 9788
Sun Apr 17 09:11:48 2011  relations with 4 large ideals: 63239
Sun Apr 17 09:11:48 2011  relations with 5 large ideals: 239567
Sun Apr 17 09:11:48 2011  relations with 6 large ideals: 584337
Sun Apr 17 09:11:48 2011  relations with 7+ large ideals: 1858083
Sun Apr 17 09:11:48 2011  commencing 2-way merge
Sun Apr 17 09:11:52 2011  reduce to 1734278 relation sets and 1700838 unique ideals
Sun Apr 17 09:11:52 2011  commencing full merge
Sun Apr 17 09:12:35 2011  memory use: 192.1 MB
Sun Apr 17 09:12:36 2011  found 887079 cycles, need 883038
Sun Apr 17 09:12:36 2011  weight of 883038 cycles is about 62052498 (70.27/cycle)
Sun Apr 17 09:12:36 2011  distribution of cycle lengths:
Sun Apr 17 09:12:36 2011  1 relations: 105936
Sun Apr 17 09:12:36 2011  2 relations: 100620
Sun Apr 17 09:12:36 2011  3 relations: 99465
Sun Apr 17 09:12:36 2011  4 relations: 91934
Sun Apr 17 09:12:36 2011  5 relations: 85337
Sun Apr 17 09:12:36 2011  6 relations: 74649
Sun Apr 17 09:12:36 2011  7 relations: 64598
Sun Apr 17 09:12:36 2011  8 relations: 54637
Sun Apr 17 09:12:36 2011  9 relations: 45637
Sun Apr 17 09:12:36 2011  10+ relations: 160225
Sun Apr 17 09:12:36 2011  heaviest cycle: 24 relations
Sun Apr 17 09:12:36 2011  commencing cycle optimization
Sun Apr 17 09:12:38 2011  start with 5194815 relations
Sun Apr 17 09:12:49 2011  pruned 135621 relations
Sun Apr 17 09:12:49 2011  memory use: 133.2 MB
Sun Apr 17 09:12:49 2011  distribution of cycle lengths:
Sun Apr 17 09:12:49 2011  1 relations: 105936
Sun Apr 17 09:12:49 2011  2 relations: 102637
Sun Apr 17 09:12:49 2011  3 relations: 102738
Sun Apr 17 09:12:49 2011  4 relations: 94325
Sun Apr 17 09:12:49 2011  5 relations: 87414
Sun Apr 17 09:12:49 2011  6 relations: 76078
Sun Apr 17 09:12:49 2011  7 relations: 65555
Sun Apr 17 09:12:49 2011  8 relations: 54933
Sun Apr 17 09:12:49 2011  9 relations: 45169
Sun Apr 17 09:12:49 2011  10+ relations: 148253
Sun Apr 17 09:12:49 2011  heaviest cycle: 23 relations
Sun Apr 17 09:12:52 2011  RelProcTime: 404
Sun Apr 17 09:12:52 2011  elapsed time 00:06:46
Sun Apr 17 09:12:52 2011 LatSieveTime: 1837.59
Sun Apr 17 09:12:52 2011 -> Running matrix solving step ...
Sun Apr 17 09:12:52 2011  
Sun Apr 17 09:12:52 2011  
Sun Apr 17 09:12:52 2011  Msieve v. 1.48
Sun Apr 17 09:12:52 2011  random seeds: d89f0640 233ce039
Sun Apr 17 09:12:52 2011  factoring 3130619640058487712781463911765084249151608827524108355961845699280810995726917279988370523312196022806598728018215251383959906624835302588284177 (145 digits)
Sun Apr 17 09:12:53 2011  searching for 15-digit factors
Sun Apr 17 09:12:54 2011  commencing number field sieve (145-digit input)
Sun Apr 17 09:12:54 2011  R0: -10000000000000000000000000000000000
Sun Apr 17 09:12:54 2011  R1:  1
Sun Apr 17 09:12:54 2011  A0: -61
Sun Apr 17 09:12:54 2011  A1:  0
Sun Apr 17 09:12:54 2011  A2:  0
Sun Apr 17 09:12:54 2011  A3:  0
Sun Apr 17 09:12:54 2011  A4:  0
Sun Apr 17 09:12:54 2011  A5:  880
Sun Apr 17 09:12:54 2011  skew 0.59, size 3.635e-012, alpha -0.042, combined = 1.823e-010 rroots = 1
Sun Apr 17 09:12:54 2011  
Sun Apr 17 09:12:54 2011  commencing linear algebra
Sun Apr 17 09:12:54 2011  read 883038 cycles
Sun Apr 17 09:12:56 2011  cycles contain 2732722 unique relations
Sun Apr 17 09:13:16 2011  read 2732722 relations
Sun Apr 17 09:13:21 2011  using 20 quadratic characters above 134217440
Sun Apr 17 09:13:37 2011  building initial matrix
Sun Apr 17 09:14:13 2011  memory use: 305.8 MB
Sun Apr 17 09:14:16 2011  read 883038 cycles
Sun Apr 17 09:14:16 2011  matrix is 882861 x 883038 (250.7 MB) with weight 78649716 (89.07/col)
Sun Apr 17 09:14:16 2011  sparse part has weight 59528065 (67.41/col)
Sun Apr 17 09:14:31 2011  filtering completed in 2 passes
Sun Apr 17 09:14:31 2011  matrix is 882664 x 882841 (250.6 MB) with weight 78643777 (89.08/col)
Sun Apr 17 09:14:31 2011  sparse part has weight 59526502 (67.43/col)
Sun Apr 17 09:15:40 2011  matrix starts at (0, 0)
Sun Apr 17 09:15:41 2011  matrix is 882664 x 882841 (250.6 MB) with weight 78643777 (89.08/col)
Sun Apr 17 09:15:41 2011  sparse part has weight 59526502 (67.43/col)
Sun Apr 17 09:15:41 2011  saving the first 48 matrix rows for later
Sun Apr 17 09:15:41 2011  matrix includes 64 packed rows
Sun Apr 17 09:15:41 2011  matrix is 882616 x 882841 (237.1 MB) with weight 62601061 (70.91/col)
Sun Apr 17 09:15:41 2011  sparse part has weight 56848393 (64.39/col)
Sun Apr 17 09:15:41 2011  using block size 21845 for processor cache size 512 kB
Sun Apr 17 09:15:47 2011  commencing Lanczos iteration (4 threads)
Sun Apr 17 09:15:47 2011  memory use: 217.5 MB
Sun Apr 17 09:16:00 2011  linear algebra at 0.4%, ETA 1h 1m
Sun Apr 17 10:17:33 2011  lanczos halted after 13959 iterations (dim = 882615)
Sun Apr 17 10:17:35 2011  recovered 38 nontrivial dependencies
Sun Apr 17 10:17:35 2011  BLanczosTime: 3881
Sun Apr 17 10:17:35 2011  elapsed time 01:04:43
Sun Apr 17 10:17:35 2011 -> Running square root step ...
Sun Apr 17 10:17:35 2011  
Sun Apr 17 10:17:35 2011  
Sun Apr 17 10:17:35 2011  Msieve v. 1.48
Sun Apr 17 10:17:35 2011  random seeds: 2b029ca0 de8f6671
Sun Apr 17 10:17:35 2011  factoring 3130619640058487712781463911765084249151608827524108355961845699280810995726917279988370523312196022806598728018215251383959906624835302588284177 (145 digits)
Sun Apr 17 10:17:36 2011  searching for 15-digit factors
Sun Apr 17 10:17:37 2011  commencing number field sieve (145-digit input)
Sun Apr 17 10:17:37 2011  R0: -10000000000000000000000000000000000
Sun Apr 17 10:17:37 2011  R1:  1
Sun Apr 17 10:17:37 2011  A0: -61
Sun Apr 17 10:17:37 2011  A1:  0
Sun Apr 17 10:17:37 2011  A2:  0
Sun Apr 17 10:17:37 2011  A3:  0
Sun Apr 17 10:17:37 2011  A4:  0
Sun Apr 17 10:17:37 2011  A5:  880
Sun Apr 17 10:17:37 2011  skew 0.59, size 3.635e-012, alpha -0.042, combined = 1.823e-010 rroots = 1
Sun Apr 17 10:17:37 2011  
Sun Apr 17 10:17:37 2011  commencing square root phase
Sun Apr 17 10:17:37 2011  reading relations for dependency 1
Sun Apr 17 10:17:37 2011  read 441300 cycles
Sun Apr 17 10:17:38 2011  cycles contain 1367630 unique relations
Sun Apr 17 10:17:52 2011  read 1367630 relations
Sun Apr 17 10:17:59 2011  multiplying 1367630 relations
Sun Apr 17 10:20:33 2011  multiply complete, coefficients have about 42.82 million bits
Sun Apr 17 10:20:34 2011  initial square root is modulo 1405211
Sun Apr 17 10:24:16 2011  sqrtTime: 399
Sun Apr 17 10:24:16 2011  prp64 factor: 1067207613549516042840476075581557651317741760963869207671282909
Sun Apr 17 10:24:16 2011  prp82 factor: 2933468240210632618137724955260953188778020138849956994370708954795234746606810053
Sun Apr 17 10:24:16 2011  elapsed time 00:06:41
Sun Apr 17 10:24:16 2011 -> Computing 1.30305e+09 scale for this machine...
Sun Apr 17 10:24:16 2011 -> procrels -speedtest> PIPE
Sun Apr 17 10:24:25 2011 -> Factorization summary written to s173-97771_171.txt
software ソフトウェア
ggnfs, msieve 1.48
execution environment 実行環境
Athlon 2 x4 2GHz, 2 GB RAM, Windows XP

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 14, 2010 05:00:00 UTC 2010 年 10 月 14 日 (木) 14 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 15, 2010 06:07:08 UTC 2010 年 10 月 15 日 (金) 15 時 7 分 8 秒 (日本時間)
403e61935110Ignacio SantosOctober 15, 2010 06:07:08 UTC 2010 年 10 月 15 日 (金) 15 時 7 分 8 秒 (日本時間)
1825Wataru SakaiDecember 2, 2010 05:42:00 UTC 2010 年 12 月 2 日 (木) 14 時 42 分 0 秒 (日本時間)
4511e6246 / 376032Ignacio SantosOctober 15, 2010 06:07:08 UTC 2010 年 10 月 15 日 (金) 15 時 7 分 8 秒 (日本時間)
214Ignacio SantosDecember 2, 2010 07:23:23 UTC 2010 年 12 月 2 日 (木) 16 時 23 分 23 秒 (日本時間)
5043e678 / 742320juno1369October 26, 2010 22:34:11 UTC 2010 年 10 月 27 日 (水) 7 時 34 分 11 秒 (日本時間)
58Ignacio SantosDecember 2, 2010 07:23:23 UTC 2010 年 12 月 2 日 (木) 16 時 23 分 23 秒 (日本時間)

88×10172-619

c133

name 名前Serge Batalov
date 日付October 14, 2010 21:06:46 UTC 2010 年 10 月 15 日 (金) 6 時 6 分 46 秒 (日本時間)
composite number 合成数
2397439680456106252294450351696362192738854802090140703603295000881816293727751485266424960018924341334911840845949020620537517763777<133>
prime factors 素因数
2261548509321007278773816640199813<34>
composite cofactor 合成数の残り
1060087665851526687468353897555641058327590704387953946450692596481462888392724541563722428014588429<100>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=732224639
Step 1 took 3649ms
********** Factor found in step 1: 2261548509321007278773816640199813
Found probable prime factor of 34 digits: 2261548509321007278773816640199813
Composite cofactor 1060087665851526687468353897555641058327590704387953946450692596481462888392724541563722428014588429 has 100 digits

c100

name 名前Dmitry Domanov
date 日付October 16, 2010 06:49:59 UTC 2010 年 10 月 16 日 (土) 15 時 49 分 59 秒 (日本時間)
composite number 合成数
1060087665851526687468353897555641058327590704387953946450692596481462888392724541563722428014588429<100>
prime factors 素因数
6070831686292146537241544786528848983496018542497<49>
174619841338245282639469570080284032422626065861357<51>
factorization results 素因数分解の結果
Number: 3740
N=1060087665851526687468353897555641058327590704387953946450692596481462888392724541563722428014588429
  ( 100 digits)
Divisors found:
 r1=6070831686292146537241544786528848983496018542497 (pp49)
 r2=174619841338245282639469570080284032422626065861357 (pp51)
Version: Msieve-1.40
Total time: 3.30 hours.
Scaled time: 6.48 units (timescale=1.963).
Factorization parameters were as follows:
name: 3740
n: 1060087665851526687468353897555641058327590704387953946450692596481462888392724541563722428014588429
skew: 4314.43
# norm 1.54e+014
c5: 375480
c4: -2878218512
c3: -9982431667754
c2: 100262715714349723
c1: 100909990719847068486
c0: -130705317449668361566125
# alpha -6.97
Y1: 38967655751
Y0: -4899551084920077604
# Murphy_E 3.78e-009
# M 433080231864963161641704132599575178480675316548764644832433470118480894364805372357016159035136195
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 222936 x 223184
Polynomial selection time: 0.38 hours.
Total sieving time: 2.66 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.15 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
gnfs,99,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 3.30 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 14, 2010 05:00:00 UTC 2010 年 10 月 14 日 (木) 14 時 0 分 0 秒 (日本時間)

88×10174-619

c149

name 名前Ignacio Santos
date 日付October 16, 2010 02:41:41 UTC 2010 年 10 月 16 日 (土) 11 時 41 分 41 秒 (日本時間)
composite number 合成数
35642174784298891577512163748831526110773413715075236629515743121841771926496252934584953164011940905456255947438950210184128269552848269504582737127<149>
prime factors 素因数
1668856045341663335464242243761051947<37>
composite cofactor 合成数の残り
21357249406734720794246498473047443885035528217235979158332666167306470718189576503195271823901886634584032965941<113>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3078907105
Step 1 took 6723ms
********** Factor found in step 1: 1668856045341663335464242243761051947
Found probable prime factor of 37 digits: 1668856045341663335464242243761051947
Composite cofactor 21357249406734720794246498473047443885035528217235979158332666167306470718189576503195271823901886634584032965941 has 113 digits
software ソフトウェア
GMP-ECM 6.3

c113

name 名前Dmitry Domanov
date 日付October 17, 2010 06:55:33 UTC 2010 年 10 月 17 日 (日) 15 時 55 分 33 秒 (日本時間)
composite number 合成数
21357249406734720794246498473047443885035528217235979158332666167306470718189576503195271823901886634584032965941<113>
prime factors 素因数
79923482775023485439044764903474108124533546319943<50>
267221205397833027389810954885338157540332181105043736384436387<63>
factorization results 素因数分解の結果
Number: 3691
N=21357249406734720794246498473047443885035528217235979158332666167306470718189576503195271823901886634584032965941
  ( 113 digits)
Divisors found:
 r1=79923482775023485439044764903474108124533546319943 (pp50)
 r2=267221205397833027389810954885338157540332181105043736384436387 (pp63)
Version: Msieve-1.40
Total time: 19.00 hours.
Scaled time: 37.29 units (timescale=1.963).
Factorization parameters were as follows:
name: 3691
n: 21357249406734720794246498473047443885035528217235979158332666167306470718189576503195271823901886634584032965941
skew: 25125.15
# norm 2.38e+015
c5: 32880
c4: -3401336952
c3: -122889172863505
c2: 1553783548680684875
c1: 20529956597088158957255
c0: -192850370965488384538498338
# alpha -5.37
Y1: 555933919783
Y0: -3651943668876163453205
# Murphy_E 7.11e-010
# M 2683935121672285933117494683403753916850741147184224887433141652599504266439108939283554466025442031244494598184
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 2750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 430666 x 430893
Total sieving time: 18.43 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.24 hours.
Time per square root: 0.26 hours.
Prototype def-par.txt line would be:
gnfs,112,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 19.00 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
3025e40--
351e6118 / 904Makoto KamadaOctober 14, 2010 05:00:00 UTC 2010 年 10 月 14 日 (木) 14 時 0 分 0 秒 (日本時間)

88×10175-619

c163

name 名前Justin Card
date 日付April 20, 2011 01:09:46 UTC 2011 年 4 月 20 日 (水) 10 時 9 分 46 秒 (日本時間)
composite number 合成数
2157605237605605519983122665172936262569512142927300500344345744657316034918709513113359018138944763060382365994801701861440261449316511529280879172020971793757209<163>
prime factors 素因数
402083738139716100259146126959713782022022289905494725368237<60>
5366059437240609371904208774318809663867801518044958138220520115027677040585076868739968024143633312157<103>
factorization results 素因数分解の結果
Mon Apr 18 06:28:44 2011 -> factmsieve.py (v0.76)
Mon Apr 18 06:28:44 2011 -> This is client 1 of 1
Mon Apr 18 06:28:44 2011 -> Running on 4 Cores with 1 hyper-thread per Core
Mon Apr 18 06:28:44 2011 -> Working with NAME = 97771_175
Mon Apr 18 17:10:39 2011 -> factmsieve.py (v0.76)
Mon Apr 18 17:10:39 2011 -> This is client 1 of 1
Mon Apr 18 17:10:39 2011 -> Running on 4 Cores with 1 hyper-thread per Core
Mon Apr 18 17:10:39 2011 -> Working with NAME = 97771_175
Mon Apr 18 17:10:39 2011 -> Selected lattice siever: gnfs-lasieve4I13e
Mon Apr 18 17:10:39 2011 -> Creating param file to detect parameter changes...
Mon Apr 18 17:10:39 2011 -> Running setup ...
Mon Apr 18 17:10:39 2011 -> Estimated minimum relations needed: 1.34453e+07
Mon Apr 18 17:10:39 2011 -> cleaning up before a restart
Mon Apr 18 17:10:39 2011 -> Running lattice siever ...
Mon Apr 18 17:10:39 2011 -> entering sieving loop
Mon Apr 18 17:10:39 2011 -> making sieve job for q = 3100000 in 3100000 .. 3125000 as file 97771_175.job.T0
Mon Apr 18 17:10:39 2011 -> making sieve job for q = 3125000 in 3125000 .. 3150000 as file 97771_175.job.T1
Mon Apr 18 17:10:39 2011 -> making sieve job for q = 3150000 in 3150000 .. 3175000 as file 97771_175.job.T2
Mon Apr 18 17:10:39 2011 -> making sieve job for q = 3175000 in 3175000 .. 3200000 as file 97771_175.job.T3
Mon Apr 18 17:10:39 2011 -> Lattice sieving rational q from 3100000 to 3200000.
Mon Apr 18 17:10:39 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_175.job.T0
Mon Apr 18 17:10:39 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_175.job.T1
Mon Apr 18 17:10:39 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_175.job.T2
Mon Apr 18 17:10:39 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_175.job.T3
Mon Apr 18 17:50:24 2011 Found 541122 relations, 4.0% of the estimated minimum (13445328).
Mon Apr 18 17:50:24 2011 LatSieveTime: 2385.12
Mon Apr 18 17:50:24 2011 -> making sieve job for q = 3200000 in 3200000 .. 3225000 as file 97771_175.job.T0
Mon Apr 18 17:50:24 2011 -> making sieve job for q = 3225000 in 3225000 .. 3250000 as file 97771_175.job.T1
Mon Apr 18 17:50:24 2011 -> making sieve job for q = 3250000 in 3250000 .. 3275000 as file 97771_175.job.T2
Mon Apr 18 17:50:24 2011 -> making sieve job for q = 3275000 in 3275000 .. 3300000 as file 97771_175.job.T3
Mon Apr 18 17:50:24 2011 -> Lattice sieving rational q from 3200000 to 3300000.
Mon Apr 18 17:50:24 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_175.job.T0
Mon Apr 18 17:50:24 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_175.job.T1
Mon Apr 18 17:50:24 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_175.job.T2
Mon Apr 18 17:50:24 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_175.job.T3
Mon Apr 18 18:30:46 2011 Found 1083356 relations, 8.1% of the estimated minimum (13445328).
Mon Apr 18 18:30:46 2011 LatSieveTime: 2422.45
Mon Apr 18 18:30:46 2011 -> making sieve job for q = 3300000 in 3300000 .. 3325000 as file 97771_175.job.T0
Mon Apr 18 18:30:46 2011 -> making sieve job for q = 3325000 in 3325000 .. 3350000 as file 97771_175.job.T1
Mon Apr 18 18:30:46 2011 -> making sieve job for q = 3350000 in 3350000 .. 3375000 as file 97771_175.job.T2
Mon Apr 18 18:30:46 2011 -> making sieve job for q = 3375000 in 3375000 .. 3400000 as file 97771_175.job.T3
Mon Apr 18 18:30:46 2011 -> Lattice sieving rational q from 3300000 to 3400000.
Mon Apr 18 18:30:46 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_175.job.T0
Mon Apr 18 18:30:46 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_175.job.T1
Mon Apr 18 18:30:46 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_175.job.T2
Mon Apr 18 18:30:46 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_175.job.T3
Mon Apr 18 19:04:56 2011 Found 1621232 relations, 12.1% of the estimated minimum (13445328).
Mon Apr 18 19:04:56 2011 LatSieveTime: 2049.39
Mon Apr 18 19:04:56 2011 -> making sieve job for q = 3400000 in 3400000 .. 3425000 as file 97771_175.job.T0
Mon Apr 18 19:04:56 2011 -> making sieve job for q = 3425000 in 3425000 .. 3450000 as file 97771_175.job.T1
Mon Apr 18 19:04:56 2011 -> making sieve job for q = 3450000 in 3450000 .. 3475000 as file 97771_175.job.T2
Mon Apr 18 19:04:56 2011 -> making sieve job for q = 3475000 in 3475000 .. 3500000 as file 97771_175.job.T3
Mon Apr 18 19:04:56 2011 -> Lattice sieving rational q from 3400000 to 3500000.
Mon Apr 18 19:04:56 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_175.job.T0
Mon Apr 18 19:04:56 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_175.job.T1
Mon Apr 18 19:04:56 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_175.job.T2
Mon Apr 18 19:04:56 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_175.job.T3
Mon Apr 18 19:30:50 2011 Found 2156403 relations, 16.0% of the estimated minimum (13445328).
Mon Apr 18 19:30:50 2011 LatSieveTime: 1554.66
Mon Apr 18 19:30:50 2011 -> making sieve job for q = 3500000 in 3500000 .. 3525000 as file 97771_175.job.T0
Mon Apr 18 19:30:50 2011 -> making sieve job for q = 3525000 in 3525000 .. 3550000 as file 97771_175.job.T1
Mon Apr 18 19:30:50 2011 -> making sieve job for q = 3550000 in 3550000 .. 3575000 as file 97771_175.job.T2
Mon Apr 18 19:30:50 2011 -> making sieve job for q = 3575000 in 3575000 .. 3600000 as file 97771_175.job.T3
Mon Apr 18 19:30:50 2011 -> Lattice sieving rational q from 3500000 to 3600000.
Mon Apr 18 19:30:50 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_175.job.T0
Mon Apr 18 19:30:50 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_175.job.T1
Mon Apr 18 19:30:50 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_175.job.T2
Mon Apr 18 19:30:50 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_175.job.T3
Mon Apr 18 19:56:46 2011 Found 2688558 relations, 20.0% of the estimated minimum (13445328).
Mon Apr 18 19:56:46 2011 LatSieveTime: 1555.78
Mon Apr 18 19:56:46 2011 -> making sieve job for q = 3600000 in 3600000 .. 3625000 as file 97771_175.job.T0
Mon Apr 18 19:56:46 2011 -> making sieve job for q = 3625000 in 3625000 .. 3650000 as file 97771_175.job.T1
Mon Apr 18 19:56:46 2011 -> making sieve job for q = 3650000 in 3650000 .. 3675000 as file 97771_175.job.T2
Mon Apr 18 19:56:46 2011 -> making sieve job for q = 3675000 in 3675000 .. 3700000 as file 97771_175.job.T3
Mon Apr 18 19:56:46 2011 -> Lattice sieving rational q from 3600000 to 3700000.
Mon Apr 18 19:56:46 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_175.job.T0
Mon Apr 18 19:56:46 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_175.job.T1
Mon Apr 18 19:56:46 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_175.job.T2
Mon Apr 18 19:56:46 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_175.job.T3
Mon Apr 18 20:23:10 2011 Found 3228454 relations, 24.0% of the estimated minimum (13445328).
Mon Apr 18 20:23:10 2011 LatSieveTime: 1584.19
Mon Apr 18 20:23:10 2011 -> making sieve job for q = 3700000 in 3700000 .. 3725000 as file 97771_175.job.T0
Mon Apr 18 20:23:10 2011 -> making sieve job for q = 3725000 in 3725000 .. 3750000 as file 97771_175.job.T1
Mon Apr 18 20:23:10 2011 -> making sieve job for q = 3750000 in 3750000 .. 3775000 as file 97771_175.job.T2
Mon Apr 18 20:23:10 2011 -> making sieve job for q = 3775000 in 3775000 .. 3800000 as file 97771_175.job.T3
Mon Apr 18 20:23:10 2011 -> Lattice sieving rational q from 3700000 to 3800000.
Mon Apr 18 20:23:10 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_175.job.T0
Mon Apr 18 20:23:10 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_175.job.T1
Mon Apr 18 20:23:10 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_175.job.T2
Mon Apr 18 20:23:10 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_175.job.T3
Mon Apr 18 20:49:40 2011 Found 3760498 relations, 28.0% of the estimated minimum (13445328).
Mon Apr 18 20:49:40 2011 LatSieveTime: 1589.39
Mon Apr 18 20:49:40 2011 -> making sieve job for q = 3800000 in 3800000 .. 3825000 as file 97771_175.job.T0
Mon Apr 18 20:49:40 2011 -> making sieve job for q = 3825000 in 3825000 .. 3850000 as file 97771_175.job.T1
Mon Apr 18 20:49:40 2011 -> making sieve job for q = 3850000 in 3850000 .. 3875000 as file 97771_175.job.T2
Mon Apr 18 20:49:40 2011 -> making sieve job for q = 3875000 in 3875000 .. 3900000 as file 97771_175.job.T3
Mon Apr 18 20:49:40 2011 -> Lattice sieving rational q from 3800000 to 3900000.
Mon Apr 18 20:49:40 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_175.job.T0
Mon Apr 18 20:49:40 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_175.job.T1
Mon Apr 18 20:49:40 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_175.job.T2
Mon Apr 18 20:49:40 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_175.job.T3
Mon Apr 18 21:34:54 2011 Found 4295025 relations, 31.9% of the estimated minimum (13445328).
Mon Apr 18 21:34:54 2011 LatSieveTime: 2714.59
Mon Apr 18 21:34:54 2011 -> making sieve job for q = 3900000 in 3900000 .. 3925000 as file 97771_175.job.T0
Mon Apr 18 21:34:54 2011 -> making sieve job for q = 3925000 in 3925000 .. 3950000 as file 97771_175.job.T1
Mon Apr 18 21:34:54 2011 -> making sieve job for q = 3950000 in 3950000 .. 3975000 as file 97771_175.job.T2
Mon Apr 18 21:34:54 2011 -> making sieve job for q = 3975000 in 3975000 .. 4000000 as file 97771_175.job.T3
Mon Apr 18 21:34:54 2011 -> Lattice sieving rational q from 3900000 to 4000000.
Mon Apr 18 21:34:54 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_175.job.T0
Mon Apr 18 21:34:54 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_175.job.T1
Mon Apr 18 21:34:54 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_175.job.T2
Mon Apr 18 21:34:54 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_175.job.T3
Mon Apr 18 22:18:30 2011 Found 4823754 relations, 35.9% of the estimated minimum (13445328).
Mon Apr 18 22:18:30 2011 LatSieveTime: 2615.42
Mon Apr 18 22:18:30 2011 -> making sieve job for q = 4000000 in 4000000 .. 4025000 as file 97771_175.job.T0
Mon Apr 18 22:18:30 2011 -> making sieve job for q = 4025000 in 4025000 .. 4050000 as file 97771_175.job.T1
Mon Apr 18 22:18:30 2011 -> making sieve job for q = 4050000 in 4050000 .. 4075000 as file 97771_175.job.T2
Mon Apr 18 22:18:30 2011 -> making sieve job for q = 4075000 in 4075000 .. 4100000 as file 97771_175.job.T3
Mon Apr 18 22:18:30 2011 -> Lattice sieving rational q from 4000000 to 4100000.
Mon Apr 18 22:18:30 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_175.job.T0
Mon Apr 18 22:18:30 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_175.job.T1
Mon Apr 18 22:18:30 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_175.job.T2
Mon Apr 18 22:18:30 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_175.job.T3
Mon Apr 18 23:01:44 2011 Found 5359159 relations, 39.9% of the estimated minimum (13445328).
Mon Apr 18 23:01:44 2011 LatSieveTime: 2593.89
Mon Apr 18 23:01:44 2011 -> making sieve job for q = 4100000 in 4100000 .. 4125000 as file 97771_175.job.T0
Mon Apr 18 23:01:44 2011 -> making sieve job for q = 4125000 in 4125000 .. 4150000 as file 97771_175.job.T1
Mon Apr 18 23:01:44 2011 -> making sieve job for q = 4150000 in 4150000 .. 4175000 as file 97771_175.job.T2
Mon Apr 18 23:01:44 2011 -> making sieve job for q = 4175000 in 4175000 .. 4200000 as file 97771_175.job.T3
Mon Apr 18 23:01:44 2011 -> Lattice sieving rational q from 4100000 to 4200000.
Mon Apr 18 23:01:44 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_175.job.T0
Mon Apr 18 23:01:44 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_175.job.T1
Mon Apr 18 23:01:44 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_175.job.T2
Mon Apr 18 23:01:44 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_175.job.T3
Mon Apr 18 23:28:43 2011 Found 5885259 relations, 43.8% of the estimated minimum (13445328).
Mon Apr 18 23:28:43 2011 LatSieveTime: 1619.5
Mon Apr 18 23:28:43 2011 -> making sieve job for q = 4200000 in 4200000 .. 4225000 as file 97771_175.job.T0
Mon Apr 18 23:28:43 2011 -> making sieve job for q = 4225000 in 4225000 .. 4250000 as file 97771_175.job.T1
Mon Apr 18 23:28:43 2011 -> making sieve job for q = 4250000 in 4250000 .. 4275000 as file 97771_175.job.T2
Mon Apr 18 23:28:43 2011 -> making sieve job for q = 4275000 in 4275000 .. 4300000 as file 97771_175.job.T3
Mon Apr 18 23:28:43 2011 -> Lattice sieving rational q from 4200000 to 4300000.
Mon Apr 18 23:28:43 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_175.job.T0
Mon Apr 18 23:28:43 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_175.job.T1
Mon Apr 18 23:28:43 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_175.job.T2
Mon Apr 18 23:28:43 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_175.job.T3
Mon Apr 18 23:54:47 2011 Found 6410273 relations, 47.7% of the estimated minimum (13445328).
Mon Apr 18 23:54:47 2011 LatSieveTime: 1563.75
Mon Apr 18 23:54:47 2011 -> making sieve job for q = 4300000 in 4300000 .. 4325000 as file 97771_175.job.T0
Mon Apr 18 23:54:47 2011 -> making sieve job for q = 4325000 in 4325000 .. 4350000 as file 97771_175.job.T1
Mon Apr 18 23:54:47 2011 -> making sieve job for q = 4350000 in 4350000 .. 4375000 as file 97771_175.job.T2
Mon Apr 18 23:54:47 2011 -> making sieve job for q = 4375000 in 4375000 .. 4400000 as file 97771_175.job.T3
Mon Apr 18 23:54:47 2011 -> Lattice sieving rational q from 4300000 to 4400000.
Mon Apr 18 23:54:47 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_175.job.T0
Mon Apr 18 23:54:47 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_175.job.T1
Mon Apr 18 23:54:47 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_175.job.T2
Mon Apr 18 23:54:47 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_175.job.T3
Tue Apr 19 00:20:45 2011 Found 6935719 relations, 51.6% of the estimated minimum (13445328).
Tue Apr 19 00:20:45 2011 LatSieveTime: 1558.12
Tue Apr 19 00:20:45 2011 -> making sieve job for q = 4400000 in 4400000 .. 4425000 as file 97771_175.job.T0
Tue Apr 19 00:20:45 2011 -> making sieve job for q = 4425000 in 4425000 .. 4450000 as file 97771_175.job.T1
Tue Apr 19 00:20:45 2011 -> making sieve job for q = 4450000 in 4450000 .. 4475000 as file 97771_175.job.T2
Tue Apr 19 00:20:45 2011 -> making sieve job for q = 4475000 in 4475000 .. 4500000 as file 97771_175.job.T3
Tue Apr 19 00:20:45 2011 -> Lattice sieving rational q from 4400000 to 4500000.
Tue Apr 19 00:20:45 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_175.job.T0
Tue Apr 19 00:20:45 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_175.job.T1
Tue Apr 19 00:20:45 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_175.job.T2
Tue Apr 19 00:20:45 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_175.job.T3
Tue Apr 19 00:47:07 2011 Found 7466190 relations, 55.5% of the estimated minimum (13445328).
Tue Apr 19 00:47:07 2011 LatSieveTime: 1581.61
Tue Apr 19 00:47:07 2011 -> making sieve job for q = 4500000 in 4500000 .. 4525000 as file 97771_175.job.T0
Tue Apr 19 00:47:07 2011 -> making sieve job for q = 4525000 in 4525000 .. 4550000 as file 97771_175.job.T1
Tue Apr 19 00:47:07 2011 -> making sieve job for q = 4550000 in 4550000 .. 4575000 as file 97771_175.job.T2
Tue Apr 19 00:47:07 2011 -> making sieve job for q = 4575000 in 4575000 .. 4600000 as file 97771_175.job.T3
Tue Apr 19 00:47:07 2011 -> Lattice sieving rational q from 4500000 to 4600000.
Tue Apr 19 00:47:07 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_175.job.T0
Tue Apr 19 00:47:07 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_175.job.T1
Tue Apr 19 00:47:07 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_175.job.T2
Tue Apr 19 00:47:07 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_175.job.T3
Tue Apr 19 01:13:36 2011 Found 7988110 relations, 59.4% of the estimated minimum (13445328).
Tue Apr 19 01:13:36 2011 LatSieveTime: 1589.58
Tue Apr 19 01:13:36 2011 -> making sieve job for q = 4600000 in 4600000 .. 4625000 as file 97771_175.job.T0
Tue Apr 19 01:13:36 2011 -> making sieve job for q = 4625000 in 4625000 .. 4650000 as file 97771_175.job.T1
Tue Apr 19 01:13:36 2011 -> making sieve job for q = 4650000 in 4650000 .. 4675000 as file 97771_175.job.T2
Tue Apr 19 01:13:36 2011 -> making sieve job for q = 4675000 in 4675000 .. 4700000 as file 97771_175.job.T3
Tue Apr 19 01:13:36 2011 -> Lattice sieving rational q from 4600000 to 4700000.
Tue Apr 19 01:13:36 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_175.job.T0
Tue Apr 19 01:13:36 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_175.job.T1
Tue Apr 19 01:13:36 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_175.job.T2
Tue Apr 19 01:13:36 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_175.job.T3
Tue Apr 19 01:40:28 2011 Found 8507766 relations, 63.3% of the estimated minimum (13445328).
Tue Apr 19 01:40:28 2011 LatSieveTime: 1612.09
Tue Apr 19 01:40:28 2011 -> making sieve job for q = 4700000 in 4700000 .. 4725000 as file 97771_175.job.T0
Tue Apr 19 01:40:28 2011 -> making sieve job for q = 4725000 in 4725000 .. 4750000 as file 97771_175.job.T1
Tue Apr 19 01:40:28 2011 -> making sieve job for q = 4750000 in 4750000 .. 4775000 as file 97771_175.job.T2
Tue Apr 19 01:40:28 2011 -> making sieve job for q = 4775000 in 4775000 .. 4800000 as file 97771_175.job.T3
Tue Apr 19 01:40:28 2011 -> Lattice sieving rational q from 4700000 to 4800000.
Tue Apr 19 01:40:28 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_175.job.T0
Tue Apr 19 01:40:28 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_175.job.T1
Tue Apr 19 01:40:28 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_175.job.T2
Tue Apr 19 01:40:28 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_175.job.T3
Tue Apr 19 02:06:45 2011 Found 9025225 relations, 67.1% of the estimated minimum (13445328).
Tue Apr 19 02:06:45 2011 LatSieveTime: 1576.77
Tue Apr 19 02:06:45 2011 -> making sieve job for q = 4800000 in 4800000 .. 4825000 as file 97771_175.job.T0
Tue Apr 19 02:06:45 2011 -> making sieve job for q = 4825000 in 4825000 .. 4850000 as file 97771_175.job.T1
Tue Apr 19 02:06:45 2011 -> making sieve job for q = 4850000 in 4850000 .. 4875000 as file 97771_175.job.T2
Tue Apr 19 02:06:45 2011 -> making sieve job for q = 4875000 in 4875000 .. 4900000 as file 97771_175.job.T3
Tue Apr 19 02:06:45 2011 -> Lattice sieving rational q from 4800000 to 4900000.
Tue Apr 19 02:06:45 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_175.job.T0
Tue Apr 19 02:06:45 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_175.job.T1
Tue Apr 19 02:06:45 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_175.job.T2
Tue Apr 19 02:06:45 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_175.job.T3
Tue Apr 19 02:34:02 2011 Found 9548058 relations, 71.0% of the estimated minimum (13445328).
Tue Apr 19 02:34:02 2011 LatSieveTime: 1636.53
Tue Apr 19 02:34:02 2011 -> making sieve job for q = 4900000 in 4900000 .. 4925000 as file 97771_175.job.T0
Tue Apr 19 02:34:02 2011 -> making sieve job for q = 4925000 in 4925000 .. 4950000 as file 97771_175.job.T1
Tue Apr 19 02:34:02 2011 -> making sieve job for q = 4950000 in 4950000 .. 4975000 as file 97771_175.job.T2
Tue Apr 19 02:34:02 2011 -> making sieve job for q = 4975000 in 4975000 .. 5000000 as file 97771_175.job.T3
Tue Apr 19 02:34:02 2011 -> Lattice sieving rational q from 4900000 to 5000000.
Tue Apr 19 02:34:02 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_175.job.T0
Tue Apr 19 02:34:02 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_175.job.T1
Tue Apr 19 02:34:02 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_175.job.T2
Tue Apr 19 02:34:02 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_175.job.T3
Tue Apr 19 03:01:02 2011 Found 10067375 relations, 74.9% of the estimated minimum (13445328).
Tue Apr 19 03:01:02 2011 LatSieveTime: 1620.47
Tue Apr 19 03:01:02 2011 -> making sieve job for q = 5000000 in 5000000 .. 5025000 as file 97771_175.job.T0
Tue Apr 19 03:01:02 2011 -> making sieve job for q = 5025000 in 5025000 .. 5050000 as file 97771_175.job.T1
Tue Apr 19 03:01:02 2011 -> making sieve job for q = 5050000 in 5050000 .. 5075000 as file 97771_175.job.T2
Tue Apr 19 03:01:02 2011 -> making sieve job for q = 5075000 in 5075000 .. 5100000 as file 97771_175.job.T3
Tue Apr 19 03:01:02 2011 -> Lattice sieving rational q from 5000000 to 5100000.
Tue Apr 19 03:01:02 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_175.job.T0
Tue Apr 19 03:01:02 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_175.job.T1
Tue Apr 19 03:01:02 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_175.job.T2
Tue Apr 19 03:01:02 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_175.job.T3
Tue Apr 19 03:27:41 2011 Found 10578828 relations, 78.7% of the estimated minimum (13445328).
Tue Apr 19 03:27:41 2011 LatSieveTime: 1598.74
Tue Apr 19 03:27:41 2011 -> making sieve job for q = 5100000 in 5100000 .. 5125000 as file 97771_175.job.T0
Tue Apr 19 03:27:41 2011 -> making sieve job for q = 5125000 in 5125000 .. 5150000 as file 97771_175.job.T1
Tue Apr 19 03:27:41 2011 -> making sieve job for q = 5150000 in 5150000 .. 5175000 as file 97771_175.job.T2
Tue Apr 19 03:27:41 2011 -> making sieve job for q = 5175000 in 5175000 .. 5200000 as file 97771_175.job.T3
Tue Apr 19 03:27:41 2011 -> Lattice sieving rational q from 5100000 to 5200000.
Tue Apr 19 03:27:41 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_175.job.T0
Tue Apr 19 03:27:41 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_175.job.T1
Tue Apr 19 03:27:41 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_175.job.T2
Tue Apr 19 03:27:41 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_175.job.T3
Tue Apr 19 03:53:50 2011 Found 11087648 relations, 82.5% of the estimated minimum (13445328).
Tue Apr 19 03:53:50 2011 LatSieveTime: 1568.84
Tue Apr 19 03:53:50 2011 -> making sieve job for q = 5200000 in 5200000 .. 5225000 as file 97771_175.job.T0
Tue Apr 19 03:53:50 2011 -> making sieve job for q = 5225000 in 5225000 .. 5250000 as file 97771_175.job.T1
Tue Apr 19 03:53:50 2011 -> making sieve job for q = 5250000 in 5250000 .. 5275000 as file 97771_175.job.T2
Tue Apr 19 03:53:50 2011 -> making sieve job for q = 5275000 in 5275000 .. 5300000 as file 97771_175.job.T3
Tue Apr 19 03:53:50 2011 -> Lattice sieving rational q from 5200000 to 5300000.
Tue Apr 19 03:53:50 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_175.job.T0
Tue Apr 19 03:53:50 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_175.job.T1
Tue Apr 19 03:53:50 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_175.job.T2
Tue Apr 19 03:53:50 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_175.job.T3
Tue Apr 19 04:20:20 2011 Found 11601583 relations, 86.3% of the estimated minimum (13445328).
Tue Apr 19 04:20:20 2011 LatSieveTime: 1590.45
Tue Apr 19 04:20:20 2011 -> making sieve job for q = 5300000 in 5300000 .. 5325000 as file 97771_175.job.T0
Tue Apr 19 04:20:20 2011 -> making sieve job for q = 5325000 in 5325000 .. 5350000 as file 97771_175.job.T1
Tue Apr 19 04:20:20 2011 -> making sieve job for q = 5350000 in 5350000 .. 5375000 as file 97771_175.job.T2
Tue Apr 19 04:20:20 2011 -> making sieve job for q = 5375000 in 5375000 .. 5400000 as file 97771_175.job.T3
Tue Apr 19 04:20:20 2011 -> Lattice sieving rational q from 5300000 to 5400000.
Tue Apr 19 04:20:20 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_175.job.T0
Tue Apr 19 04:20:20 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_175.job.T1
Tue Apr 19 04:20:20 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_175.job.T2
Tue Apr 19 04:20:20 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_175.job.T3
Tue Apr 19 04:47:17 2011 Found 12113695 relations, 90.1% of the estimated minimum (13445328).
Tue Apr 19 04:47:17 2011 LatSieveTime: 1616.83
Tue Apr 19 04:47:17 2011 -> making sieve job for q = 5400000 in 5400000 .. 5425000 as file 97771_175.job.T0
Tue Apr 19 04:47:17 2011 -> making sieve job for q = 5425000 in 5425000 .. 5450000 as file 97771_175.job.T1
Tue Apr 19 04:47:17 2011 -> making sieve job for q = 5450000 in 5450000 .. 5475000 as file 97771_175.job.T2
Tue Apr 19 04:47:17 2011 -> making sieve job for q = 5475000 in 5475000 .. 5500000 as file 97771_175.job.T3
Tue Apr 19 04:47:17 2011 -> Lattice sieving rational q from 5400000 to 5500000.
Tue Apr 19 04:47:17 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_175.job.T0
Tue Apr 19 04:47:17 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_175.job.T1
Tue Apr 19 04:47:17 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_175.job.T2
Tue Apr 19 04:47:17 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_175.job.T3
Tue Apr 19 05:13:58 2011 Found 12622239 relations, 93.9% of the estimated minimum (13445328).
Tue Apr 19 05:13:58 2011 LatSieveTime: 1600.97
Tue Apr 19 05:13:58 2011 -> making sieve job for q = 5500000 in 5500000 .. 5525000 as file 97771_175.job.T0
Tue Apr 19 05:13:58 2011 -> making sieve job for q = 5525000 in 5525000 .. 5550000 as file 97771_175.job.T1
Tue Apr 19 05:13:58 2011 -> making sieve job for q = 5550000 in 5550000 .. 5575000 as file 97771_175.job.T2
Tue Apr 19 05:13:58 2011 -> making sieve job for q = 5575000 in 5575000 .. 5600000 as file 97771_175.job.T3
Tue Apr 19 05:13:58 2011 -> Lattice sieving rational q from 5500000 to 5600000.
Tue Apr 19 05:13:58 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_175.job.T0
Tue Apr 19 05:13:58 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_175.job.T1
Tue Apr 19 05:13:58 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_175.job.T2
Tue Apr 19 05:13:58 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_175.job.T3
Tue Apr 19 05:40:43 2011 Found 13127408 relations, 97.6% of the estimated minimum (13445328).
Tue Apr 19 05:40:43 2011 LatSieveTime: 1604.56
Tue Apr 19 05:40:43 2011 -> making sieve job for q = 5600000 in 5600000 .. 5625000 as file 97771_175.job.T0
Tue Apr 19 05:40:43 2011 -> making sieve job for q = 5625000 in 5625000 .. 5650000 as file 97771_175.job.T1
Tue Apr 19 05:40:43 2011 -> making sieve job for q = 5650000 in 5650000 .. 5675000 as file 97771_175.job.T2
Tue Apr 19 05:40:43 2011 -> making sieve job for q = 5675000 in 5675000 .. 5700000 as file 97771_175.job.T3
Tue Apr 19 05:40:43 2011 -> Lattice sieving rational q from 5600000 to 5700000.
Tue Apr 19 05:40:43 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_175.job.T0
Tue Apr 19 05:40:43 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_175.job.T1
Tue Apr 19 05:40:43 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_175.job.T2
Tue Apr 19 05:40:43 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_175.job.T3
Tue Apr 19 06:14:27 2011 Found 13633520 relations, 101.4% of the estimated minimum (13445328).
Tue Apr 19 06:14:28 2011  
Tue Apr 19 06:14:28 2011  
Tue Apr 19 06:14:28 2011  Msieve v. 1.48
Tue Apr 19 06:14:28 2011  random seeds: 40df230c e82fb3f9
Tue Apr 19 06:14:28 2011  factoring 2157605237605605519983122665172936262569512142927300500344345744657316034918709513113359018138944763060382365994801701861440261449316511529280879172020971793757209 (163 digits)
Tue Apr 19 06:14:29 2011  searching for 15-digit factors
Tue Apr 19 06:14:30 2011  commencing number field sieve (163-digit input)
Tue Apr 19 06:14:30 2011  R0: -100000000000000000000000000000000000
Tue Apr 19 06:14:30 2011  R1:  1
Tue Apr 19 06:14:30 2011  A0: -61
Tue Apr 19 06:14:30 2011  A1:  0
Tue Apr 19 06:14:30 2011  A2:  0
Tue Apr 19 06:14:30 2011  A3:  0
Tue Apr 19 06:14:30 2011  A4:  0
Tue Apr 19 06:14:30 2011  A5:  88
Tue Apr 19 06:14:30 2011  skew 0.93, size 2.740e-012, alpha -0.116, combined = 1.515e-010 rroots = 1
Tue Apr 19 06:14:30 2011  
Tue Apr 19 06:14:30 2011  commencing relation filtering
Tue Apr 19 06:14:30 2011  estimated available RAM is 2047.2 MB
Tue Apr 19 06:14:30 2011  commencing duplicate removal, pass 1
Tue Apr 19 06:16:03 2011  found 1406582 hash collisions in 13633519 relations
Tue Apr 19 06:17:07 2011  added 669775 free relations
Tue Apr 19 06:17:07 2011  commencing duplicate removal, pass 2
Tue Apr 19 06:17:23 2011  found 941935 duplicates and 13361359 unique relations
Tue Apr 19 06:17:23 2011  memory use: 49.3 MB
Tue Apr 19 06:17:23 2011  reading ideals above 5701632
Tue Apr 19 06:17:26 2011  commencing singleton removal, initial pass
Tue Apr 19 06:19:41 2011  memory use: 376.5 MB
Tue Apr 19 06:19:41 2011  reading all ideals from disk
Tue Apr 19 06:19:41 2011  memory use: 253.4 MB
Tue Apr 19 06:19:43 2011  commencing in-memory singleton removal
Tue Apr 19 06:19:44 2011  begin with 13361359 relations and 16604919 unique ideals
Tue Apr 19 06:19:57 2011  reduce to 1093567 relations and 849677 ideals in 73 passes
Tue Apr 19 06:19:57 2011  max relations containing the same ideal: 17
Tue Apr 19 06:19:57 2011  reading ideals above 30000
Tue Apr 19 06:19:57 2011  commencing singleton removal, initial pass
Tue Apr 19 06:20:40 2011  memory use: 94.1 MB
Tue Apr 19 06:20:40 2011  reading all ideals from disk
Tue Apr 19 06:20:40 2011  memory use: 57.3 MB
Tue Apr 19 06:20:41 2011  keeping 4099180 ideals with weight <= 200, target excess is 6520
Tue Apr 19 06:20:41 2011  commencing in-memory singleton removal
Tue Apr 19 06:20:41 2011  begin with 1509221 relations and 4099180 unique ideals
Tue Apr 19 06:20:42 2011  reduce to 162 relations and 0 ideals in 10 passes
Tue Apr 19 06:20:42 2011  max relations containing the same ideal: 0
Tue Apr 19 06:20:42 2011  filtering wants 1000000 more relations
Tue Apr 19 06:20:42 2011  elapsed time 00:06:14
Tue Apr 19 06:20:42 2011 LatSieveTime: 2399.78
Tue Apr 19 06:20:42 2011 -> making sieve job for q = 5700000 in 5700000 .. 5725000 as file 97771_175.job.T0
Tue Apr 19 06:20:42 2011 -> making sieve job for q = 5725000 in 5725000 .. 5750000 as file 97771_175.job.T1
Tue Apr 19 06:20:42 2011 -> making sieve job for q = 5750000 in 5750000 .. 5775000 as file 97771_175.job.T2
Tue Apr 19 06:20:42 2011 -> making sieve job for q = 5775000 in 5775000 .. 5800000 as file 97771_175.job.T3
Tue Apr 19 06:20:42 2011 -> Lattice sieving rational q from 5700000 to 5800000.
Tue Apr 19 06:20:42 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_175.job.T0
Tue Apr 19 06:20:42 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_175.job.T1
Tue Apr 19 06:20:42 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_175.job.T2
Tue Apr 19 06:20:42 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_175.job.T3
Tue Apr 19 06:48:30 2011 Found 14804370 relations, 110.1% of the estimated minimum (13445328).
Tue Apr 19 06:48:30 2011  
Tue Apr 19 06:48:30 2011  
Tue Apr 19 06:48:30 2011  Msieve v. 1.48
Tue Apr 19 06:48:30 2011  random seeds: c94dd298 275ba562
Tue Apr 19 06:48:30 2011  factoring 2157605237605605519983122665172936262569512142927300500344345744657316034918709513113359018138944763060382365994801701861440261449316511529280879172020971793757209 (163 digits)
Tue Apr 19 06:48:31 2011  searching for 15-digit factors
Tue Apr 19 06:48:32 2011  commencing number field sieve (163-digit input)
Tue Apr 19 06:48:32 2011  R0: -100000000000000000000000000000000000
Tue Apr 19 06:48:32 2011  R1:  1
Tue Apr 19 06:48:32 2011  A0: -61
Tue Apr 19 06:48:32 2011  A1:  0
Tue Apr 19 06:48:32 2011  A2:  0
Tue Apr 19 06:48:32 2011  A3:  0
Tue Apr 19 06:48:32 2011  A4:  0
Tue Apr 19 06:48:32 2011  A5:  88
Tue Apr 19 06:48:32 2011  skew 0.93, size 2.740e-012, alpha -0.116, combined = 1.515e-010 rroots = 1
Tue Apr 19 06:48:32 2011  
Tue Apr 19 06:48:32 2011  commencing relation filtering
Tue Apr 19 06:48:32 2011  estimated available RAM is 2047.2 MB
Tue Apr 19 06:48:32 2011  commencing duplicate removal, pass 1
Tue Apr 19 06:50:32 2011  found 1553086 hash collisions in 14804369 relations
Tue Apr 19 06:51:27 2011  added 3875 free relations
Tue Apr 19 06:51:27 2011  commencing duplicate removal, pass 2
Tue Apr 19 06:51:38 2011  found 1003440 duplicates and 13804804 unique relations
Tue Apr 19 06:51:38 2011  memory use: 49.3 MB
Tue Apr 19 06:51:38 2011  reading ideals above 5832704
Tue Apr 19 06:51:41 2011  commencing singleton removal, initial pass
Tue Apr 19 06:53:54 2011  memory use: 376.5 MB
Tue Apr 19 06:53:54 2011  reading all ideals from disk
Tue Apr 19 06:53:54 2011  memory use: 260.7 MB
Tue Apr 19 06:53:56 2011  commencing in-memory singleton removal
Tue Apr 19 06:53:57 2011  begin with 13804804 relations and 16834914 unique ideals
Tue Apr 19 06:54:11 2011  reduce to 2018791 relations and 1710744 ideals in 47 passes
Tue Apr 19 06:54:11 2011  max relations containing the same ideal: 20
Tue Apr 19 06:54:12 2011  reading ideals above 100000
Tue Apr 19 06:54:12 2011  commencing singleton removal, initial pass
Tue Apr 19 06:54:40 2011  memory use: 47.1 MB
Tue Apr 19 06:54:40 2011  reading all ideals from disk
Tue Apr 19 06:54:40 2011  memory use: 73.8 MB
Tue Apr 19 06:54:41 2011  commencing in-memory singleton removal
Tue Apr 19 06:54:41 2011  begin with 2022669 relations and 2516813 unique ideals
Tue Apr 19 06:55:06 2011  reduce to 1878426 relations and 2352876 ideals in 66 passes
Tue Apr 19 06:55:06 2011  max relations containing the same ideal: 149
Tue Apr 19 06:55:07 2011  filtering wants 1000000 more relations
Tue Apr 19 06:55:07 2011  elapsed time 00:06:37
Tue Apr 19 06:55:07 2011 LatSieveTime: 2064.36
Tue Apr 19 06:55:07 2011 -> making sieve job for q = 5800000 in 5800000 .. 5825000 as file 97771_175.job.T0
Tue Apr 19 06:55:07 2011 -> making sieve job for q = 5825000 in 5825000 .. 5850000 as file 97771_175.job.T1
Tue Apr 19 06:55:07 2011 -> making sieve job for q = 5850000 in 5850000 .. 5875000 as file 97771_175.job.T2
Tue Apr 19 06:55:07 2011 -> making sieve job for q = 5875000 in 5875000 .. 5900000 as file 97771_175.job.T3
Tue Apr 19 06:55:07 2011 -> Lattice sieving rational q from 5800000 to 5900000.
Tue Apr 19 06:55:07 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_175.job.T0
Tue Apr 19 06:55:07 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_175.job.T1
Tue Apr 19 06:55:07 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_175.job.T2
Tue Apr 19 06:55:07 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_175.job.T3
Tue Apr 19 07:21:52 2011 Found 15314310 relations, 113.9% of the estimated minimum (13445328).
Tue Apr 19 07:21:52 2011  
Tue Apr 19 07:21:52 2011  
Tue Apr 19 07:21:52 2011  Msieve v. 1.48
Tue Apr 19 07:21:52 2011  random seeds: 74d7ce58 cc25668b
Tue Apr 19 07:21:52 2011  factoring 2157605237605605519983122665172936262569512142927300500344345744657316034918709513113359018138944763060382365994801701861440261449316511529280879172020971793757209 (163 digits)
Tue Apr 19 07:21:53 2011  searching for 15-digit factors
Tue Apr 19 07:21:54 2011  commencing number field sieve (163-digit input)
Tue Apr 19 07:21:54 2011  R0: -100000000000000000000000000000000000
Tue Apr 19 07:21:54 2011  R1:  1
Tue Apr 19 07:21:54 2011  A0: -61
Tue Apr 19 07:21:54 2011  A1:  0
Tue Apr 19 07:21:54 2011  A2:  0
Tue Apr 19 07:21:54 2011  A3:  0
Tue Apr 19 07:21:54 2011  A4:  0
Tue Apr 19 07:21:54 2011  A5:  88
Tue Apr 19 07:21:54 2011  skew 0.93, size 2.740e-012, alpha -0.116, combined = 1.515e-010 rroots = 1
Tue Apr 19 07:21:54 2011  
Tue Apr 19 07:21:54 2011  commencing relation filtering
Tue Apr 19 07:21:54 2011  estimated available RAM is 2047.2 MB
Tue Apr 19 07:21:54 2011  commencing duplicate removal, pass 1
Tue Apr 19 07:23:58 2011  found 1648404 hash collisions in 15314309 relations
Tue Apr 19 07:24:54 2011  added 3560 free relations
Tue Apr 19 07:24:54 2011  commencing duplicate removal, pass 2
Tue Apr 19 07:25:07 2011  found 1067199 duplicates and 14250670 unique relations
Tue Apr 19 07:25:07 2011  memory use: 49.3 MB
Tue Apr 19 07:25:07 2011  reading ideals above 5832704
Tue Apr 19 07:25:10 2011  commencing singleton removal, initial pass
Tue Apr 19 07:27:28 2011  memory use: 376.5 MB
Tue Apr 19 07:27:28 2011  reading all ideals from disk
Tue Apr 19 07:27:28 2011  memory use: 270.2 MB
Tue Apr 19 07:27:30 2011  commencing in-memory singleton removal
Tue Apr 19 07:27:31 2011  begin with 14250670 relations and 17073741 unique ideals
Tue Apr 19 07:27:45 2011  reduce to 2736190 relations and 2355048 ideals in 33 passes
Tue Apr 19 07:27:45 2011  max relations containing the same ideal: 36
Tue Apr 19 07:27:45 2011  reading ideals above 100000
Tue Apr 19 07:27:45 2011  commencing singleton removal, initial pass
Tue Apr 19 07:28:17 2011  memory use: 86.1 MB
Tue Apr 19 07:28:17 2011  reading all ideals from disk
Tue Apr 19 07:28:17 2011  memory use: 100.3 MB
Tue Apr 19 07:28:18 2011  keeping 3160917 ideals with weight <= 200, target excess is 19295
Tue Apr 19 07:28:18 2011  commencing in-memory singleton removal
Tue Apr 19 07:28:19 2011  begin with 2739751 relations and 3160917 unique ideals
Tue Apr 19 07:28:32 2011  reduce to 2712268 relations and 3115678 ideals in 24 passes
Tue Apr 19 07:28:32 2011  max relations containing the same ideal: 189
Tue Apr 19 07:28:33 2011  filtering wants 1000000 more relations
Tue Apr 19 07:28:33 2011  elapsed time 00:06:41
Tue Apr 19 07:28:33 2011 LatSieveTime: 2005.81
Tue Apr 19 07:28:33 2011 -> making sieve job for q = 5900000 in 5900000 .. 5925000 as file 97771_175.job.T0
Tue Apr 19 07:28:33 2011 -> making sieve job for q = 5925000 in 5925000 .. 5950000 as file 97771_175.job.T1
Tue Apr 19 07:28:33 2011 -> making sieve job for q = 5950000 in 5950000 .. 5975000 as file 97771_175.job.T2
Tue Apr 19 07:28:33 2011 -> making sieve job for q = 5975000 in 5975000 .. 6000000 as file 97771_175.job.T3
Tue Apr 19 07:28:33 2011 -> Lattice sieving rational q from 5900000 to 6000000.
Tue Apr 19 07:28:33 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_175.job.T0
Tue Apr 19 07:28:33 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_175.job.T1
Tue Apr 19 07:28:33 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_175.job.T2
Tue Apr 19 07:28:33 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_175.job.T3
Tue Apr 19 07:55:36 2011 Found 15821761 relations, 117.7% of the estimated minimum (13445328).
Tue Apr 19 07:55:37 2011  
Tue Apr 19 07:55:37 2011  
Tue Apr 19 07:55:37 2011  Msieve v. 1.48
Tue Apr 19 07:55:37 2011  random seeds: 0eb9f6ac 18efed1e
Tue Apr 19 07:55:37 2011  factoring 2157605237605605519983122665172936262569512142927300500344345744657316034918709513113359018138944763060382365994801701861440261449316511529280879172020971793757209 (163 digits)
Tue Apr 19 07:55:38 2011  searching for 15-digit factors
Tue Apr 19 07:55:39 2011  commencing number field sieve (163-digit input)
Tue Apr 19 07:55:39 2011  R0: -100000000000000000000000000000000000
Tue Apr 19 07:55:39 2011  R1:  1
Tue Apr 19 07:55:39 2011  A0: -61
Tue Apr 19 07:55:39 2011  A1:  0
Tue Apr 19 07:55:39 2011  A2:  0
Tue Apr 19 07:55:39 2011  A3:  0
Tue Apr 19 07:55:39 2011  A4:  0
Tue Apr 19 07:55:39 2011  A5:  88
Tue Apr 19 07:55:39 2011  skew 0.93, size 2.740e-012, alpha -0.116, combined = 1.515e-010 rroots = 1
Tue Apr 19 07:55:39 2011  
Tue Apr 19 07:55:39 2011  commencing relation filtering
Tue Apr 19 07:55:39 2011  estimated available RAM is 2047.2 MB
Tue Apr 19 07:55:39 2011  commencing duplicate removal, pass 1
Tue Apr 19 07:57:46 2011  found 1745602 hash collisions in 15821760 relations
Tue Apr 19 07:58:42 2011  added 3382 free relations
Tue Apr 19 07:58:42 2011  commencing duplicate removal, pass 2
Tue Apr 19 07:58:55 2011  found 1132477 duplicates and 14692665 unique relations
Tue Apr 19 07:58:55 2011  memory use: 53.3 MB
Tue Apr 19 07:58:55 2011  reading ideals above 5963776
Tue Apr 19 07:58:58 2011  commencing singleton removal, initial pass
Tue Apr 19 08:01:18 2011  memory use: 376.5 MB
Tue Apr 19 08:01:18 2011  reading all ideals from disk
Tue Apr 19 08:01:19 2011  memory use: 276.9 MB
Tue Apr 19 08:01:20 2011  commencing in-memory singleton removal
Tue Apr 19 08:01:22 2011  begin with 14692665 relations and 17287264 unique ideals
Tue Apr 19 08:01:35 2011  reduce to 3367894 relations and 2878975 ideals in 26 passes
Tue Apr 19 08:01:35 2011  max relations containing the same ideal: 36
Tue Apr 19 08:01:35 2011  reading ideals above 100000
Tue Apr 19 08:01:36 2011  commencing singleton removal, initial pass
Tue Apr 19 08:02:14 2011  memory use: 94.1 MB
Tue Apr 19 08:02:14 2011  reading all ideals from disk
Tue Apr 19 08:02:14 2011  memory use: 123.7 MB
Tue Apr 19 08:02:15 2011  keeping 3700941 ideals with weight <= 200, target excess is 19410
Tue Apr 19 08:02:16 2011  commencing in-memory singleton removal
Tue Apr 19 08:02:16 2011  begin with 3371276 relations and 3700941 unique ideals
Tue Apr 19 08:02:30 2011  reduce to 3359700 relations and 3672504 ideals in 20 passes
Tue Apr 19 08:02:30 2011  max relations containing the same ideal: 200
Tue Apr 19 08:02:31 2011  filtering wants 1000000 more relations
Tue Apr 19 08:02:31 2011  elapsed time 00:06:54
Tue Apr 19 08:02:31 2011 LatSieveTime: 2038.38
Tue Apr 19 08:02:31 2011 -> making sieve job for q = 6000000 in 6000000 .. 6025000 as file 97771_175.job.T0
Tue Apr 19 08:02:31 2011 -> making sieve job for q = 6025000 in 6025000 .. 6050000 as file 97771_175.job.T1
Tue Apr 19 08:02:31 2011 -> making sieve job for q = 6050000 in 6050000 .. 6075000 as file 97771_175.job.T2
Tue Apr 19 08:02:31 2011 -> making sieve job for q = 6075000 in 6075000 .. 6100000 as file 97771_175.job.T3
Tue Apr 19 08:02:31 2011 -> Lattice sieving rational q from 6000000 to 6100000.
Tue Apr 19 08:02:31 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_175.job.T0
Tue Apr 19 08:02:31 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_175.job.T1
Tue Apr 19 08:02:31 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_175.job.T2
Tue Apr 19 08:02:31 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_175.job.T3
Tue Apr 19 08:30:08 2011 Found 16326163 relations, 121.4% of the estimated minimum (13445328).
Tue Apr 19 08:30:09 2011  
Tue Apr 19 08:30:09 2011  
Tue Apr 19 08:30:09 2011  Msieve v. 1.48
Tue Apr 19 08:30:09 2011  random seeds: e3fce800 50985843
Tue Apr 19 08:30:09 2011  factoring 2157605237605605519983122665172936262569512142927300500344345744657316034918709513113359018138944763060382365994801701861440261449316511529280879172020971793757209 (163 digits)
Tue Apr 19 08:30:10 2011  searching for 15-digit factors
Tue Apr 19 08:30:11 2011  commencing number field sieve (163-digit input)
Tue Apr 19 08:30:11 2011  R0: -100000000000000000000000000000000000
Tue Apr 19 08:30:11 2011  R1:  1
Tue Apr 19 08:30:11 2011  A0: -61
Tue Apr 19 08:30:11 2011  A1:  0
Tue Apr 19 08:30:11 2011  A2:  0
Tue Apr 19 08:30:11 2011  A3:  0
Tue Apr 19 08:30:11 2011  A4:  0
Tue Apr 19 08:30:11 2011  A5:  88
Tue Apr 19 08:30:11 2011  skew 0.93, size 2.740e-012, alpha -0.116, combined = 1.515e-010 rroots = 1
Tue Apr 19 08:30:11 2011  
Tue Apr 19 08:30:11 2011  commencing relation filtering
Tue Apr 19 08:30:11 2011  estimated available RAM is 2047.2 MB
Tue Apr 19 08:30:11 2011  commencing duplicate removal, pass 1
Tue Apr 19 08:32:21 2011  found 1844986 hash collisions in 16326162 relations
Tue Apr 19 08:33:18 2011  added 3092 free relations
Tue Apr 19 08:33:18 2011  commencing duplicate removal, pass 2
Tue Apr 19 08:33:32 2011  found 1199020 duplicates and 15130234 unique relations
Tue Apr 19 08:33:32 2011  memory use: 82.6 MB
Tue Apr 19 08:33:32 2011  reading ideals above 6094848
Tue Apr 19 08:33:35 2011  commencing singleton removal, initial pass
Tue Apr 19 08:35:58 2011  memory use: 376.5 MB
Tue Apr 19 08:35:58 2011  reading all ideals from disk
Tue Apr 19 08:35:58 2011  memory use: 283.5 MB
Tue Apr 19 08:36:00 2011  commencing in-memory singleton removal
Tue Apr 19 08:36:02 2011  begin with 15130234 relations and 17491826 unique ideals
Tue Apr 19 08:36:17 2011  reduce to 3955026 relations and 3344613 ideals in 26 passes
Tue Apr 19 08:36:17 2011  max relations containing the same ideal: 39
Tue Apr 19 08:36:17 2011  reading ideals above 100000
Tue Apr 19 08:36:17 2011  commencing singleton removal, initial pass
Tue Apr 19 08:37:02 2011  memory use: 94.1 MB
Tue Apr 19 08:37:02 2011  reading all ideals from disk
Tue Apr 19 08:37:02 2011  memory use: 145.4 MB
Tue Apr 19 08:37:03 2011  keeping 4180060 ideals with weight <= 200, target excess is 20984
Tue Apr 19 08:37:04 2011  commencing in-memory singleton removal
Tue Apr 19 08:37:05 2011  begin with 3958122 relations and 4180060 unique ideals
Tue Apr 19 08:37:17 2011  reduce to 3951924 relations and 4158474 ideals in 15 passes
Tue Apr 19 08:37:17 2011  max relations containing the same ideal: 200
Tue Apr 19 08:37:18 2011  filtering wants 1000000 more relations
Tue Apr 19 08:37:18 2011  elapsed time 00:07:09
Tue Apr 19 08:37:18 2011 LatSieveTime: 2087.08
Tue Apr 19 08:37:18 2011 -> making sieve job for q = 6100000 in 6100000 .. 6125000 as file 97771_175.job.T0
Tue Apr 19 08:37:18 2011 -> making sieve job for q = 6125000 in 6125000 .. 6150000 as file 97771_175.job.T1
Tue Apr 19 08:37:18 2011 -> making sieve job for q = 6150000 in 6150000 .. 6175000 as file 97771_175.job.T2
Tue Apr 19 08:37:18 2011 -> making sieve job for q = 6175000 in 6175000 .. 6200000 as file 97771_175.job.T3
Tue Apr 19 08:37:18 2011 -> Lattice sieving rational q from 6100000 to 6200000.
Tue Apr 19 08:37:18 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_175.job.T0
Tue Apr 19 08:37:18 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_175.job.T1
Tue Apr 19 08:37:18 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_175.job.T2
Tue Apr 19 08:37:18 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_175.job.T3
Tue Apr 19 09:04:43 2011 Found 16828173 relations, 125.2% of the estimated minimum (13445328).
Tue Apr 19 09:04:44 2011  
Tue Apr 19 09:04:44 2011  
Tue Apr 19 09:04:44 2011  Msieve v. 1.48
Tue Apr 19 09:04:44 2011  random seeds: af3f5104 48fa1619
Tue Apr 19 09:04:44 2011  factoring 2157605237605605519983122665172936262569512142927300500344345744657316034918709513113359018138944763060382365994801701861440261449316511529280879172020971793757209 (163 digits)
Tue Apr 19 09:04:45 2011  searching for 15-digit factors
Tue Apr 19 09:04:46 2011  commencing number field sieve (163-digit input)
Tue Apr 19 09:04:46 2011  R0: -100000000000000000000000000000000000
Tue Apr 19 09:04:46 2011  R1:  1
Tue Apr 19 09:04:46 2011  A0: -61
Tue Apr 19 09:04:46 2011  A1:  0
Tue Apr 19 09:04:46 2011  A2:  0
Tue Apr 19 09:04:46 2011  A3:  0
Tue Apr 19 09:04:46 2011  A4:  0
Tue Apr 19 09:04:46 2011  A5:  88
Tue Apr 19 09:04:46 2011  skew 0.93, size 2.740e-012, alpha -0.116, combined = 1.515e-010 rroots = 1
Tue Apr 19 09:04:46 2011  
Tue Apr 19 09:04:46 2011  commencing relation filtering
Tue Apr 19 09:04:46 2011  estimated available RAM is 2047.2 MB
Tue Apr 19 09:04:46 2011  commencing duplicate removal, pass 1
Tue Apr 19 09:07:00 2011  found 1944752 hash collisions in 16828172 relations
Tue Apr 19 09:07:58 2011  added 2889 free relations
Tue Apr 19 09:07:58 2011  commencing duplicate removal, pass 2
Tue Apr 19 09:08:12 2011  found 1266432 duplicates and 15564629 unique relations
Tue Apr 19 09:08:12 2011  memory use: 82.6 MB
Tue Apr 19 09:08:12 2011  reading ideals above 6225920
Tue Apr 19 09:08:15 2011  commencing singleton removal, initial pass
Tue Apr 19 09:10:42 2011  memory use: 376.5 MB
Tue Apr 19 09:10:42 2011  reading all ideals from disk
Tue Apr 19 09:10:42 2011  memory use: 290.4 MB
Tue Apr 19 09:10:44 2011  commencing in-memory singleton removal
Tue Apr 19 09:10:46 2011  begin with 15564629 relations and 17687909 unique ideals
Tue Apr 19 09:11:03 2011  reduce to 4519302 relations and 3773555 ideals in 27 passes
Tue Apr 19 09:11:03 2011  max relations containing the same ideal: 30
Tue Apr 19 09:11:04 2011  reading ideals above 100000
Tue Apr 19 09:11:04 2011  commencing singleton removal, initial pass
Tue Apr 19 09:11:54 2011  memory use: 94.1 MB
Tue Apr 19 09:11:54 2011  reading all ideals from disk
Tue Apr 19 09:11:54 2011  memory use: 166.3 MB
Tue Apr 19 09:11:56 2011  keeping 4621711 ideals with weight <= 200, target excess is 23781
Tue Apr 19 09:11:57 2011  commencing in-memory singleton removal
Tue Apr 19 09:11:58 2011  begin with 4522192 relations and 4621711 unique ideals
Tue Apr 19 09:12:07 2011  reduce to 4517596 relations and 4602749 ideals in 10 passes
Tue Apr 19 09:12:07 2011  max relations containing the same ideal: 200
Tue Apr 19 09:12:08 2011  filtering wants 1000000 more relations
Tue Apr 19 09:12:08 2011  elapsed time 00:07:24
Tue Apr 19 09:12:08 2011 LatSieveTime: 2090.16
Tue Apr 19 09:12:08 2011 -> making sieve job for q = 6200000 in 6200000 .. 6225000 as file 97771_175.job.T0
Tue Apr 19 09:12:08 2011 -> making sieve job for q = 6225000 in 6225000 .. 6250000 as file 97771_175.job.T1
Tue Apr 19 09:12:08 2011 -> making sieve job for q = 6250000 in 6250000 .. 6275000 as file 97771_175.job.T2
Tue Apr 19 09:12:08 2011 -> making sieve job for q = 6275000 in 6275000 .. 6300000 as file 97771_175.job.T3
Tue Apr 19 09:12:08 2011 -> Lattice sieving rational q from 6200000 to 6300000.
Tue Apr 19 09:12:08 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_175.job.T0
Tue Apr 19 09:12:08 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_175.job.T1
Tue Apr 19 09:12:08 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_175.job.T2
Tue Apr 19 09:12:08 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_175.job.T3
Tue Apr 19 09:39:49 2011 Found 17329811 relations, 128.9% of the estimated minimum (13445328).
Tue Apr 19 09:39:50 2011  
Tue Apr 19 09:39:50 2011  
Tue Apr 19 09:39:50 2011  Msieve v. 1.48
Tue Apr 19 09:39:50 2011  random seeds: 443bd8c8 d3ebf6b3
Tue Apr 19 09:39:50 2011  factoring 2157605237605605519983122665172936262569512142927300500344345744657316034918709513113359018138944763060382365994801701861440261449316511529280879172020971793757209 (163 digits)
Tue Apr 19 09:39:51 2011  searching for 15-digit factors
Tue Apr 19 09:39:52 2011  commencing number field sieve (163-digit input)
Tue Apr 19 09:39:52 2011  R0: -100000000000000000000000000000000000
Tue Apr 19 09:39:52 2011  R1:  1
Tue Apr 19 09:39:52 2011  A0: -61
Tue Apr 19 09:39:52 2011  A1:  0
Tue Apr 19 09:39:52 2011  A2:  0
Tue Apr 19 09:39:52 2011  A3:  0
Tue Apr 19 09:39:52 2011  A4:  0
Tue Apr 19 09:39:52 2011  A5:  88
Tue Apr 19 09:39:52 2011  skew 0.93, size 2.740e-012, alpha -0.116, combined = 1.515e-010 rroots = 1
Tue Apr 19 09:39:52 2011  
Tue Apr 19 09:39:52 2011  commencing relation filtering
Tue Apr 19 09:39:52 2011  estimated available RAM is 2047.2 MB
Tue Apr 19 09:39:52 2011  commencing duplicate removal, pass 1
Tue Apr 19 09:42:09 2011  found 2046768 hash collisions in 17329810 relations
Tue Apr 19 09:43:08 2011  added 2655 free relations
Tue Apr 19 09:43:08 2011  commencing duplicate removal, pass 2
Tue Apr 19 09:43:23 2011  found 1335575 duplicates and 15996890 unique relations
Tue Apr 19 09:43:23 2011  memory use: 82.6 MB
Tue Apr 19 09:43:23 2011  reading ideals above 6225920
Tue Apr 19 09:43:27 2011  commencing singleton removal, initial pass
Tue Apr 19 09:45:58 2011  memory use: 376.5 MB
Tue Apr 19 09:45:58 2011  reading all ideals from disk
Tue Apr 19 09:45:58 2011  memory use: 299.7 MB
Tue Apr 19 09:46:00 2011  commencing in-memory singleton removal
Tue Apr 19 09:46:02 2011  begin with 15996890 relations and 17893825 unique ideals
Tue Apr 19 09:46:17 2011  reduce to 5064451 relations and 4188785 ideals in 21 passes
Tue Apr 19 09:46:17 2011  max relations containing the same ideal: 47
Tue Apr 19 09:46:18 2011  reading ideals above 100000
Tue Apr 19 09:46:18 2011  commencing singleton removal, initial pass
Tue Apr 19 09:47:14 2011  memory use: 94.1 MB
Tue Apr 19 09:47:14 2011  reading all ideals from disk
Tue Apr 19 09:47:14 2011  memory use: 186.4 MB
Tue Apr 19 09:47:15 2011  keeping 5032775 ideals with weight <= 200, target excess is 26603
Tue Apr 19 09:47:17 2011  commencing in-memory singleton removal
Tue Apr 19 09:47:18 2011  begin with 5067117 relations and 5032775 unique ideals
Tue Apr 19 09:47:25 2011  reduce to 5063707 relations and 5016160 ideals in 7 passes
Tue Apr 19 09:47:25 2011  max relations containing the same ideal: 200
Tue Apr 19 09:47:31 2011  removing 172815 relations and 164471 ideals in 8344 cliques
Tue Apr 19 09:47:31 2011  commencing in-memory singleton removal
Tue Apr 19 09:47:32 2011  begin with 4890892 relations and 5016160 unique ideals
Tue Apr 19 09:47:40 2011  reduce to 4885411 relations and 4846191 ideals in 8 passes
Tue Apr 19 09:47:40 2011  max relations containing the same ideal: 200
Tue Apr 19 09:47:46 2011  removing 123726 relations and 115382 ideals in 8344 cliques
Tue Apr 19 09:47:46 2011  commencing in-memory singleton removal
Tue Apr 19 09:47:47 2011  begin with 4761685 relations and 4846191 unique ideals
Tue Apr 19 09:47:54 2011  reduce to 4758816 relations and 4727929 ideals in 7 passes
Tue Apr 19 09:47:54 2011  max relations containing the same ideal: 197
Tue Apr 19 09:47:56 2011  relations with 0 large ideals: 611
Tue Apr 19 09:47:56 2011  relations with 1 large ideals: 41
Tue Apr 19 09:47:56 2011  relations with 2 large ideals: 627
Tue Apr 19 09:47:56 2011  relations with 3 large ideals: 8798
Tue Apr 19 09:47:56 2011  relations with 4 large ideals: 68757
Tue Apr 19 09:47:56 2011  relations with 5 large ideals: 311342
Tue Apr 19 09:47:56 2011  relations with 6 large ideals: 898321
Tue Apr 19 09:47:56 2011  relations with 7+ large ideals: 3470319
Tue Apr 19 09:47:56 2011  commencing 2-way merge
Tue Apr 19 09:48:03 2011  reduce to 2620427 relation sets and 2589551 unique ideals
Tue Apr 19 09:48:03 2011  ignored 11 oversize relation sets
Tue Apr 19 09:48:03 2011  commencing full merge
Tue Apr 19 09:50:51 2011  memory use: 81.3 MB
Tue Apr 19 09:50:51 2011  found 40014 cycles, need 539660
Tue Apr 19 09:50:51 2011  too few cycles, matrix probably cannot build
Tue Apr 19 09:50:51 2011 LatSieveTime: 2323.03
Tue Apr 19 09:50:51 2011 -> making sieve job for q = 6300000 in 6300000 .. 6325000 as file 97771_175.job.T0
Tue Apr 19 09:50:51 2011 -> making sieve job for q = 6325000 in 6325000 .. 6350000 as file 97771_175.job.T1
Tue Apr 19 09:50:51 2011 -> making sieve job for q = 6350000 in 6350000 .. 6375000 as file 97771_175.job.T2
Tue Apr 19 09:50:51 2011 -> making sieve job for q = 6375000 in 6375000 .. 6400000 as file 97771_175.job.T3
Tue Apr 19 09:50:51 2011 -> Lattice sieving rational q from 6300000 to 6400000.
Tue Apr 19 09:50:51 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 97771_175.job.T0
Tue Apr 19 09:50:51 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 97771_175.job.T1
Tue Apr 19 09:50:51 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 97771_175.job.T2
Tue Apr 19 09:50:51 2011 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 97771_175.job.T3
Tue Apr 19 10:18:06 2011 Found 17823535 relations, 132.6% of the estimated minimum (13445328).
Tue Apr 19 10:18:06 2011  
Tue Apr 19 10:18:06 2011  
Tue Apr 19 10:18:06 2011  Msieve v. 1.48
Tue Apr 19 10:18:06 2011  random seeds: 4e8a9ae0 52fa5e25
Tue Apr 19 10:18:06 2011  factoring 2157605237605605519983122665172936262569512142927300500344345744657316034918709513113359018138944763060382365994801701861440261449316511529280879172020971793757209 (163 digits)
Tue Apr 19 10:18:08 2011  searching for 15-digit factors
Tue Apr 19 10:18:09 2011  commencing number field sieve (163-digit input)
Tue Apr 19 10:18:09 2011  R0: -100000000000000000000000000000000000
Tue Apr 19 10:18:09 2011  R1:  1
Tue Apr 19 10:18:09 2011  A0: -61
Tue Apr 19 10:18:09 2011  A1:  0
Tue Apr 19 10:18:09 2011  A2:  0
Tue Apr 19 10:18:09 2011  A3:  0
Tue Apr 19 10:18:09 2011  A4:  0
Tue Apr 19 10:18:09 2011  A5:  88
Tue Apr 19 10:18:09 2011  skew 0.93, size 2.740e-012, alpha -0.116, combined = 1.515e-010 rroots = 1
Tue Apr 19 10:18:09 2011  
Tue Apr 19 10:18:09 2011  commencing relation filtering
Tue Apr 19 10:18:09 2011  estimated available RAM is 2047.2 MB
Tue Apr 19 10:18:09 2011  commencing duplicate removal, pass 1
Tue Apr 19 10:20:29 2011  found 2148994 hash collisions in 17823534 relations
Tue Apr 19 10:21:29 2011  added 2565 free relations
Tue Apr 19 10:21:29 2011  commencing duplicate removal, pass 2
Tue Apr 19 10:21:45 2011  found 1404896 duplicates and 16421203 unique relations
Tue Apr 19 10:21:45 2011  memory use: 82.6 MB
Tue Apr 19 10:21:45 2011  reading ideals above 6356992
Tue Apr 19 10:21:48 2011  commencing singleton removal, initial pass
Tue Apr 19 10:24:22 2011  memory use: 376.5 MB
Tue Apr 19 10:24:22 2011  reading all ideals from disk
Tue Apr 19 10:24:22 2011  memory use: 306.1 MB
Tue Apr 19 10:24:24 2011  commencing in-memory singleton removal
Tue Apr 19 10:24:26 2011  begin with 16421203 relations and 18074086 unique ideals
Tue Apr 19 10:24:41 2011  reduce to 5588323 relations and 4557811 ideals in 18 passes
Tue Apr 19 10:24:41 2011  max relations containing the same ideal: 52
Tue Apr 19 10:24:42 2011  reading ideals above 100000
Tue Apr 19 10:24:42 2011  commencing singleton removal, initial pass
Tue Apr 19 10:25:45 2011  memory use: 172.3 MB
Tue Apr 19 10:25:45 2011  reading all ideals from disk
Tue Apr 19 10:25:45 2011  memory use: 205.8 MB
Tue Apr 19 10:25:47 2011  keeping 5415457 ideals with weight <= 200, target excess is 29360
Tue Apr 19 10:25:48 2011  commencing in-memory singleton removal
Tue Apr 19 10:25:49 2011  begin with 5590899 relations and 5415457 unique ideals
Tue Apr 19 10:25:58 2011  reduce to 5587780 relations and 5399592 ideals in 7 passes
Tue Apr 19 10:25:58 2011  max relations containing the same ideal: 200
Tue Apr 19 10:26:04 2011  removing 762108 relations and 685043 ideals in 77065 cliques
Tue Apr 19 10:26:04 2011  commencing in-memory singleton removal
Tue Apr 19 10:26:05 2011  begin with 4825672 relations and 5399592 unique ideals
Tue Apr 19 10:26:16 2011  reduce to 4742550 relations and 4629873 ideals in 10 passes
Tue Apr 19 10:26:16 2011  max relations containing the same ideal: 183
Tue Apr 19 10:26:21 2011  removing 563004 relations and 485939 ideals in 77065 cliques
Tue Apr 19 10:26:21 2011  commencing in-memory singleton removal
Tue Apr 19 10:26:22 2011  begin with 4179546 relations and 4629873 unique ideals
Tue Apr 19 10:26:30 2011  reduce to 4124257 relations and 4087778 ideals in 9 passes
Tue Apr 19 10:26:30 2011  max relations containing the same ideal: 168
Tue Apr 19 10:26:35 2011  relations with 0 large ideals: 677
Tue Apr 19 10:26:35 2011  relations with 1 large ideals: 56
Tue Apr 19 10:26:35 2011  relations with 2 large ideals: 792
Tue Apr 19 10:26:35 2011  relations with 3 large ideals: 10880
Tue Apr 19 10:26:35 2011  relations with 4 large ideals: 77107
Tue Apr 19 10:26:35 2011  relations with 5 large ideals: 320081
Tue Apr 19 10:26:35 2011  relations with 6 large ideals: 841606
Tue Apr 19 10:26:35 2011  relations with 7+ large ideals: 2873058
Tue Apr 19 10:26:35 2011  commencing 2-way merge
Tue Apr 19 10:26:41 2011  reduce to 2356243 relation sets and 2319765 unique ideals
Tue Apr 19 10:26:41 2011  ignored 1 oversize relation sets
Tue Apr 19 10:26:41 2011  commencing full merge
Tue Apr 19 10:27:44 2011  memory use: 247.3 MB
Tue Apr 19 10:27:44 2011  found 1188176 cycles, need 1183965
Tue Apr 19 10:27:44 2011  weight of 1183965 cycles is about 83073126 (70.17/cycle)
Tue Apr 19 10:27:44 2011  distribution of cycle lengths:
Tue Apr 19 10:27:44 2011  1 relations: 158266
Tue Apr 19 10:27:44 2011  2 relations: 140487
Tue Apr 19 10:27:44 2011  3 relations: 135666
Tue Apr 19 10:27:44 2011  4 relations: 118933
Tue Apr 19 10:27:44 2011  5 relations: 106274
Tue Apr 19 10:27:44 2011  6 relations: 90544
Tue Apr 19 10:27:44 2011  7 relations: 78600
Tue Apr 19 10:27:44 2011  8 relations: 66798
Tue Apr 19 10:27:44 2011  9 relations: 56146
Tue Apr 19 10:27:44 2011  10+ relations: 232251
Tue Apr 19 10:27:44 2011  heaviest cycle: 27 relations
Tue Apr 19 10:27:45 2011  commencing cycle optimization
Tue Apr 19 10:27:48 2011  start with 7081503 relations
Tue Apr 19 10:28:03 2011  pruned 131554 relations
Tue Apr 19 10:28:03 2011  memory use: 190.3 MB
Tue Apr 19 10:28:03 2011  distribution of cycle lengths:
Tue Apr 19 10:28:03 2011  1 relations: 158266
Tue Apr 19 10:28:03 2011  2 relations: 142984
Tue Apr 19 10:28:03 2011  3 relations: 139192
Tue Apr 19 10:28:03 2011  4 relations: 120875
Tue Apr 19 10:28:03 2011  5 relations: 108082
Tue Apr 19 10:28:03 2011  6 relations: 91314
Tue Apr 19 10:28:03 2011  7 relations: 79112
Tue Apr 19 10:28:03 2011  8 relations: 66575
Tue Apr 19 10:28:03 2011  9 relations: 55666
Tue Apr 19 10:28:03 2011  10+ relations: 221899
Tue Apr 19 10:28:03 2011  heaviest cycle: 27 relations
Tue Apr 19 10:28:07 2011  RelProcTime: 598
Tue Apr 19 10:28:07 2011  elapsed time 00:10:01
Tue Apr 19 10:28:07 2011 LatSieveTime: 2235.5
Tue Apr 19 10:28:07 2011 -> Running matrix solving step ...
Tue Apr 19 10:28:07 2011  
Tue Apr 19 10:28:07 2011  
Tue Apr 19 10:28:07 2011  Msieve v. 1.48
Tue Apr 19 10:28:07 2011  random seeds: 1b798600 f0c8b9bc
Tue Apr 19 10:28:07 2011  factoring 2157605237605605519983122665172936262569512142927300500344345744657316034918709513113359018138944763060382365994801701861440261449316511529280879172020971793757209 (163 digits)
Tue Apr 19 10:28:08 2011  searching for 15-digit factors
Tue Apr 19 10:28:09 2011  commencing number field sieve (163-digit input)
Tue Apr 19 10:28:09 2011  R0: -100000000000000000000000000000000000
Tue Apr 19 10:28:09 2011  R1:  1
Tue Apr 19 10:28:09 2011  A0: -61
Tue Apr 19 10:28:09 2011  A1:  0
Tue Apr 19 10:28:09 2011  A2:  0
Tue Apr 19 10:28:09 2011  A3:  0
Tue Apr 19 10:28:09 2011  A4:  0
Tue Apr 19 10:28:09 2011  A5:  88
Tue Apr 19 10:28:09 2011  skew 0.93, size 2.740e-012, alpha -0.116, combined = 1.515e-010 rroots = 1
Tue Apr 19 10:28:09 2011  
Tue Apr 19 10:28:09 2011  commencing linear algebra
Tue Apr 19 10:28:09 2011  read 1183965 cycles
Tue Apr 19 10:28:12 2011  cycles contain 4058638 unique relations
Tue Apr 19 10:28:45 2011  read 4058638 relations
Tue Apr 19 10:28:52 2011  using 20 quadratic characters above 268431330
Tue Apr 19 10:29:16 2011  building initial matrix
Tue Apr 19 10:30:09 2011  memory use: 447.0 MB
Tue Apr 19 10:30:12 2011  read 1183965 cycles
Tue Apr 19 10:30:13 2011  matrix is 1183787 x 1183965 (338.3 MB) with weight 107753860 (91.01/col)
Tue Apr 19 10:30:13 2011  sparse part has weight 80386953 (67.90/col)
Tue Apr 19 10:30:33 2011  filtering completed in 2 passes
Tue Apr 19 10:30:33 2011  matrix is 1182790 x 1182967 (338.2 MB) with weight 107720971 (91.06/col)
Tue Apr 19 10:30:33 2011  sparse part has weight 80377836 (67.95/col)
Tue Apr 19 10:32:03 2011  matrix starts at (0, 0)
Tue Apr 19 10:32:04 2011  matrix is 1182790 x 1182967 (338.2 MB) with weight 107720971 (91.06/col)
Tue Apr 19 10:32:04 2011  sparse part has weight 80377836 (67.95/col)
Tue Apr 19 10:32:04 2011  saving the first 48 matrix rows for later
Tue Apr 19 10:32:04 2011  matrix includes 64 packed rows
Tue Apr 19 10:32:04 2011  matrix is 1182742 x 1182967 (321.5 MB) with weight 85203876 (72.03/col)
Tue Apr 19 10:32:04 2011  sparse part has weight 77170417 (65.23/col)
Tue Apr 19 10:32:04 2011  using block size 21845 for processor cache size 512 kB
Tue Apr 19 10:32:12 2011  commencing Lanczos iteration (4 threads)
Tue Apr 19 10:32:12 2011  memory use: 295.6 MB
Tue Apr 19 10:32:22 2011  linear algebra at 0.1%, ETA 2h 9m
Tue Apr 19 10:32:25 2011  checkpointing every 560000 dimensions
Tue Apr 19 12:39:47 2011  lanczos halted after 18702 iterations (dim = 1182739)
Tue Apr 19 12:39:50 2011  recovered 35 nontrivial dependencies
Tue Apr 19 12:39:50 2011  BLanczosTime: 7901
Tue Apr 19 12:39:50 2011  elapsed time 02:11:43
Tue Apr 19 12:39:50 2011 -> Running square root step ...
Tue Apr 19 12:39:50 2011  
Tue Apr 19 12:39:50 2011  
Tue Apr 19 12:39:50 2011  Msieve v. 1.48
Tue Apr 19 12:39:50 2011  random seeds: dd435660 9b1b0135
Tue Apr 19 12:39:50 2011  factoring 2157605237605605519983122665172936262569512142927300500344345744657316034918709513113359018138944763060382365994801701861440261449316511529280879172020971793757209 (163 digits)
Tue Apr 19 12:39:51 2011  searching for 15-digit factors
Tue Apr 19 12:39:52 2011  commencing number field sieve (163-digit input)
Tue Apr 19 12:39:52 2011  R0: -100000000000000000000000000000000000
Tue Apr 19 12:39:52 2011  R1:  1
Tue Apr 19 12:39:52 2011  A0: -61
Tue Apr 19 12:39:52 2011  A1:  0
Tue Apr 19 12:39:52 2011  A2:  0
Tue Apr 19 12:39:52 2011  A3:  0
Tue Apr 19 12:39:52 2011  A4:  0
Tue Apr 19 12:39:52 2011  A5:  88
Tue Apr 19 12:39:52 2011  skew 0.93, size 2.740e-012, alpha -0.116, combined = 1.515e-010 rroots = 1
Tue Apr 19 12:39:52 2011  
Tue Apr 19 12:39:52 2011  commencing square root phase
Tue Apr 19 12:39:52 2011  reading relations for dependency 1
Tue Apr 19 12:39:52 2011  read 591129 cycles
Tue Apr 19 12:39:54 2011  cycles contain 2027784 unique relations
Tue Apr 19 12:40:16 2011  read 2027784 relations
Tue Apr 19 12:40:28 2011  multiplying 2027784 relations
Tue Apr 19 12:44:08 2011  multiply complete, coefficients have about 57.58 million bits
Tue Apr 19 12:44:09 2011  initial square root is modulo 184942721
Tue Apr 19 12:49:20 2011  sqrtTime: 568
Tue Apr 19 12:49:20 2011  prp60 factor: 402083738139716100259146126959713782022022289905494725368237
Tue Apr 19 12:49:20 2011  prp103 factor: 5366059437240609371904208774318809663867801518044958138220520115027677040585076868739968024143633312157
Tue Apr 19 12:49:20 2011  elapsed time 00:09:30
Tue Apr 19 12:49:20 2011 -> Computing 1.30323e+09 scale for this machine...
Tue Apr 19 12:49:20 2011 -> procrels -speedtest> PIPE
Tue Apr 19 12:49:29 2011 -> Factorization summary written to s177-97771_175.txt
software ソフトウェア
ggnfs, msieve 1.4.8
execution environment 実行環境
Athlon x4, 2GHz, 2 GB RAM, Windows XP

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 14, 2010 05:00:00 UTC 2010 年 10 月 14 日 (木) 14 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 9, 2010 00:10:39 UTC 2010 年 11 月 9 日 (火) 9 時 10 分 39 秒 (日本時間)
403e6110 / 2126Ignacio SantosNovember 9, 2010 00:10:39 UTC 2010 年 11 月 9 日 (火) 9 時 10 分 39 秒 (日本時間)
4511e632 / 4437Ignacio SantosNovember 9, 2010 00:10:39 UTC 2010 年 11 月 9 日 (火) 9 時 10 分 39 秒 (日本時間)

88×10179-619

c152

name 名前Dmitry Domanov
date 日付January 9, 2014 06:41:02 UTC 2014 年 1 月 9 日 (木) 15 時 41 分 2 秒 (日本時間)
composite number 合成数
22136786627399923563144370976981170421955707413312428408013214490485949228930003217757397566308349930733104874797269807439616859596831080060906922363943<152>
prime factors 素因数
23365452816334935979293955309256698551719089332621751915440149<62>
947415263098344744880226358884557737899454733867329518381145842878631794507546928039532107<90>
factorization results 素因数分解の結果
N=22136786627399923563144370976981170421955707413312428408013214490485949228930003217757397566308349930733104874797269807439616859596831080060906922363943
  ( 152 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=23365452816334935979293955309256698551719089332621751915440149 (pp62)
 r2=947415263098344744880226358884557737899454733867329518381145842878631794507546928039532107 (pp90)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 154.34 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 22136786627399923563144370976981170421955707413312428408013214490485949228930003217757397566308349930733104874797269807439616859596831080060906922363943
m: 1000000000000000000000000000000000000
deg: 5
c5: 44
c0: -305
skew: 1.47
# Murphy_E = 7.493e-11
type: snfs
lss: 1
rlim: 7500000
alim: 7500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 7500000/7500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3750000, 11550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1478885 x 1479116
Total sieving time: 151.72 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 2.09 hours.
Time per square root: 0.30 hours.
Prototype def-par.txt line would be:
snfs,181.000,5,0,0,0,0,0,0,0,0,7500000,7500000,28,28,53,53,2.5,2.5,100000
total time: 154.34 hours.
 --------- CPU info (if available) ----------
[    0.074309] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49296732k/51380224k available (5105k kernel code, 1057796k absent, 1025696k reserved, 7223k data, 1316k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.00 BogoMIPS (lpj=2400000)
[    0.707507] Total of 16 processors activated (76799.07 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 14, 2010 05:00:00 UTC 2010 年 10 月 14 日 (木) 14 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 9, 2010 05:37:46 UTC 2010 年 11 月 9 日 (火) 14 時 37 分 46 秒 (日本時間)
403e6110Ignacio SantosNovember 9, 2010 05:37:46 UTC 2010 年 11 月 9 日 (火) 14 時 37 分 46 秒 (日本時間)
4511e61482 / 443732Ignacio SantosNovember 9, 2010 05:37:46 UTC 2010 年 11 月 9 日 (火) 14 時 37 分 46 秒 (日本時間)
600Rich DickersonJune 28, 2012 15:26:03 UTC 2012 年 6 月 29 日 (金) 0 時 26 分 3 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:05:39 UTC 2013 年 11 月 9 日 (土) 2 時 5 分 39 秒 (日本時間)

88×10180-619

c163

name 名前matsui
date 日付March 23, 2011 05:29:51 UTC 2011 年 3 月 23 日 (水) 14 時 29 分 51 秒 (日本時間)
composite number 合成数
2078592543025401018283338937262953686168258558750963786965924538394637607322480773521812605734427069471514221518531824679562229287346674633747067867063050894597823<163>
prime factors 素因数
25298678985257833792522294271506861568461426462423375014379621057262413<71>
82162098038267070131153885002819498137729947036034449911151238357483242423745626123411520571<92>
factorization results 素因数分解の結果
N=2078592543025401018283338937262953686168258558750963786965924538394637607322480773521812605734427069471514221518531824679562229287346674633747067867063050894597823
  ( 163 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=25298678985257833792522294271506861568461426462423375014379621057262413 (pp71)
 r2=82162098038267070131153885002819498137729947036034449911151238357483242423745626123411520571 (pp92)
Version: Msieve v. 1.48
Total time:
Scaled time: 36.24 units (timescale=0.689).
Factorization parameters were as follows:
n: 2078592543025401018283338937262953686168258558750963786965924538394637607322480773521812605734427069471514221518531824679562229287346674633747067867063050894597823
m: 1000000000000000000000000000000000000
deg: 5
c5: 88
c0: -61
skew: 0.93
type: snfs
lss: 1
rlim: 7500000
alim: 7500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7500000/7500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3750000, 8950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1364173 x 1364406
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,181.000,5,0,0,0,0,0,0,0,0,7500000,7500000,28,28,53,53,2.5,2.5,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 14, 2010 05:00:00 UTC 2010 年 10 月 14 日 (木) 14 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 9, 2010 05:38:13 UTC 2010 年 11 月 9 日 (火) 14 時 38 分 13 秒 (日本時間)
403e6110 / 2126Ignacio SantosNovember 9, 2010 05:38:13 UTC 2010 年 11 月 9 日 (火) 14 時 38 分 13 秒 (日本時間)
4511e632 / 4437Ignacio SantosNovember 9, 2010 05:38:13 UTC 2010 年 11 月 9 日 (火) 14 時 38 分 13 秒 (日本時間)

88×10181-619

c154

name 名前Dmitry Domanov
date 日付January 9, 2014 06:41:32 UTC 2014 年 1 月 9 日 (木) 15 時 41 分 32 秒 (日本時間)
composite number 合成数
5295843734975559020681977895226892543393669196170145162925788753710463680810419901768989460949940175256446040898779938512993682675376612846867712192018029<154>
prime factors 素因数
10360539936071479392518203462608466629563<41>
511155187630466555482386380234719176154920242620163086459823685519263577400493977689482773099987815503869476616183<114>
factorization results 素因数分解の結果
N=5295843734975559020681977895226892543393669196170145162925788753710463680810419901768989460949940175256446040898779938512993682675376612846867712192018029
  ( 154 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=10360539936071479392518203462608466629563 (pp41)
 r2=511155187630466555482386380234719176154920242620163086459823685519263577400493977689482773099987815503869476616183 (pp114)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 146.04 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 5295843734975559020681977895226892543393669196170145162925788753710463680810419901768989460949940175256446040898779938512993682675376612846867712192018029
m: 1000000000000000000000000000000000000
deg: 5
c5: 880
c0: -61
skew: 0.59
# Murphy_E = 7.249e-11
type: snfs
lss: 1
rlim: 7800000
alim: 7800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 7800000/7800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3900000, 11100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1365181 x 1365407
Total sieving time: 143.88 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 1.77 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,182.000,5,0,0,0,0,0,0,0,0,7800000,7800000,28,28,53,53,2.5,2.5,100000
total time: 146.04 hours.
 --------- CPU info (if available) ----------
[    0.074309] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49296732k/51380224k available (5105k kernel code, 1057796k absent, 1025696k reserved, 7223k data, 1316k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.00 BogoMIPS (lpj=2400000)
[    0.707507] Total of 16 processors activated (76799.07 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 14, 2010 05:00:00 UTC 2010 年 10 月 14 日 (木) 14 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 9, 2010 05:38:40 UTC 2010 年 11 月 9 日 (火) 14 時 38 分 40 秒 (日本時間)
403e6110Ignacio SantosNovember 9, 2010 05:38:40 UTC 2010 年 11 月 9 日 (火) 14 時 38 分 40 秒 (日本時間)
4511e61572 / 443732Ignacio SantosNovember 9, 2010 05:38:40 UTC 2010 年 11 月 9 日 (火) 14 時 38 分 40 秒 (日本時間)
230Ignacio SantosOctober 1, 2013 20:36:19 UTC 2013 年 10 月 2 日 (水) 5 時 36 分 19 秒 (日本時間)
230Ignacio SantosOctober 13, 2013 13:29:36 UTC 2013 年 10 月 13 日 (日) 22 時 29 分 36 秒 (日本時間)
230Ignacio SantosOctober 16, 2013 22:18:02 UTC 2013 年 10 月 17 日 (木) 7 時 18 分 2 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:06:12 UTC 2013 年 11 月 9 日 (土) 2 時 6 分 12 秒 (日本時間)

88×10183-619

c167

name 名前Serge Batalov
date 日付October 14, 2010 21:22:43 UTC 2010 年 10 月 15 日 (金) 6 時 22 分 43 秒 (日本時間)
composite number 合成数
52213270641528573047836414181499186983336519691860395696754225107769851712429315144057560600528404815590194879579382375370102886546566960820062897804462543443704463531<167>
prime factors 素因数
1243688005427100442213022179880497<34>
41982611727125068649290130047461807148918581878612562754310086470664280606839396938722853651297834447801589647902305019810541885479323<134>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=1001252935
Step 1 took 5146ms
Step 2 took 2733ms
********** Factor found in step 2: 1243688005427100442213022179880497
Found probable prime factor of 34 digits: 1243688005427100442213022179880497
Probable prime cofactor 41982611727125068649290130047461807148918581878612562754310086470664280606839396938722853651297834447801589647902305019810541885479323 has 134 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 14, 2010 05:00:00 UTC 2010 年 10 月 14 日 (木) 14 時 0 分 0 秒 (日本時間)

88×10184-619

c152

name 名前Jo Yeong Uk
date 日付September 3, 2014 11:18:29 UTC 2014 年 9 月 3 日 (水) 20 時 18 分 29 秒 (日本時間)
composite number 合成数
16530624611565168292667973491945275949002428002146578985935176557912506117124580833157051968755973957120941261723395657660951509314095604718618102659743<152>
prime factors 素因数
495130794466520528192080987837223431785171790487943551470177729<63>
33386379510844435357110018542965045249126377953139677932066272793335523975288908037251167<89>
factorization results 素因数分解の結果
Number: 97771_184
N=16530624611565168292667973491945275949002428002146578985935176557912506117124580833157051968755973957120941261723395657660951509314095604718618102659743
  ( 152 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=495130794466520528192080987837223431785171790487943551470177729
 r2=33386379510844435357110018542965045249126377953139677932066272793335523975288908037251167
Version: 
Total time: 94.26 hours.
Scaled time: 464.79 units (timescale=4.931).
Factorization parameters were as follows:
n: 16530624611565168292667973491945275949002428002146578985935176557912506117124580833157051968755973957120941261723395657660951509314095604718618102659743
m: 10000000000000000000000000000000000000
deg: 5
c5: 44
c0: -305
skew: 1.47
# Murphy_E = 4.697e-11
type: snfs
lss: 1
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4000000, 8300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 21053224
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1711815 x 1712063
Total sieving time: 87.79 hours.
Total relation processing time: 2.37 hours.
Matrix solve time: 3.88 hours.
Time per square root: 0.23 hours.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8000000,8000000,28,28,54,54,2.5,2.5,100000
total time: 94.26 hours.
 --------- CPU info (if available) ----------
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 14, 2010 05:00:00 UTC 2010 年 10 月 14 日 (木) 14 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 9, 2010 05:39:19 UTC 2010 年 11 月 9 日 (火) 14 時 39 分 19 秒 (日本時間)
403e6410110Ignacio SantosNovember 9, 2010 05:39:19 UTC 2010 年 11 月 9 日 (火) 14 時 39 分 19 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:12:21 UTC 2014 年 1 月 9 日 (木) 14 時 12 分 21 秒 (日本時間)
4511e61022 / 437132Ignacio SantosNovember 9, 2010 05:39:19 UTC 2010 年 11 月 9 日 (火) 14 時 39 分 19 秒 (日本時間)
230Ignacio SantosFebruary 6, 2014 17:42:05 UTC 2014 年 2 月 7 日 (金) 2 時 42 分 5 秒 (日本時間)
230Ignacio SantosFebruary 6, 2014 21:01:46 UTC 2014 年 2 月 7 日 (金) 6 時 1 分 46 秒 (日本時間)
230Ignacio SantosFebruary 6, 2014 23:45:45 UTC 2014 年 2 月 7 日 (金) 8 時 45 分 45 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:37:16 UTC 2014 年 5 月 27 日 (火) 9 時 37 分 16 秒 (日本時間)

88×10185-619

c146

name 名前Rich Dickerson
date 日付April 22, 2014 12:51:20 UTC 2014 年 4 月 22 日 (火) 21 時 51 分 20 秒 (日本時間)
composite number 合成数
62052779406761202994138229473014520712072549811332652965293392047194607310654145461091490507806893042174604839944369380023655744459236116109746387<146>
prime factors 素因数
17257106045489267210323768742147255601157<41>
composite cofactor 合成数の残り
3595781311373514544743482055342115448318468903922424773536925169644224612700579038724798596132909182342391<106>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2863948234
Step 1 took 24494ms
Step 2 took 8727ms
********** Factor found in step 2: 17257106045489267210323768742147255601157
Found probable prime factor of 41 digits: 17257106045489267210323768742147255601157
Composite cofactor 3595781311373514544743482055342115448318468903922424773536925169644224612700579038724798596132909182342391 has 106 digits
software ソフトウェア
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
execution environment 実行環境
Core-i5, 3.4 GHz, OpenSUSE

c106

name 名前Serge Batalov
date 日付April 23, 2014 02:24:49 UTC 2014 年 4 月 23 日 (水) 11 時 24 分 49 秒 (日本時間)
composite number 合成数
3595781311373514544743482055342115448318468903922424773536925169644224612700579038724798596132909182342391<106>
prime factors 素因数
1320264314158888402508311364374624770383263375231<49>
2723531396563049868181432047277440803183447081846786164361<58>
factorization results 素因数分解の結果
Divisors found:
 r1=1320264314158888402508311364374624770383263375231 (pp49)
 r2=2723531396563049868181432047277440803183447081846786164361 (pp58)
Version: Msieve v. 1.51 (SVN 719M)
Total time: 6.11 hours.
Scaled time: 14.66 units (timescale=2.400).
Factorization parameters were as follows:
name: test
type: gnfs
n:  3595781311373514544743482055342115448318468903922424773536925169644224612700579038724798596132909182342391
skew:  53381097.82
Y0:  -110635323812048136889670717
Y1:  32931625066591
c0:  -29720964021068120791403396196408
c1:  532437995716150169948155
c2:  -54718499747364167
c3:  1259507071
c4:  24
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 : 370539 x 370768
Total sieving time: 5.80 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.20 hours.
Prototype def-par.txt line would be:
gnfs,105,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 6.11 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 14, 2010 05:00:00 UTC 2010 年 10 月 14 日 (木) 14 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 9, 2010 05:39:58 UTC 2010 年 11 月 9 日 (火) 14 時 39 分 58 秒 (日本時間)
403e6410 / 1436110Ignacio SantosNovember 9, 2010 05:39:58 UTC 2010 年 11 月 9 日 (火) 14 時 39 分 58 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:12:21 UTC 2014 年 1 月 9 日 (木) 14 時 12 分 21 秒 (日本時間)
4511e6232 / 437132Ignacio SantosNovember 9, 2010 05:39:58 UTC 2010 年 11 月 9 日 (火) 14 時 39 分 58 秒 (日本時間)
200Rich DickersonApril 22, 2014 12:49:54 UTC 2014 年 4 月 22 日 (火) 21 時 49 分 54 秒 (日本時間)

88×10186-619

c116

name 名前juno1369
date 日付October 24, 2010 16:12:13 UTC 2010 年 10 月 25 日 (月) 1 時 12 分 13 秒 (日本時間)
composite number 合成数
52425163232755069548377661603367984573330085357785144161195055826644929520475885939675351656144181345971885281330253<116>
prime factors 素因数
7782467639130022719851389155463905580316595127901381<52>
6736316251308628844990870866458479360056664967080573968430158313<64>
factorization results 素因数分解の結果
Number: 97771_186
N = 52425163232755069548377661603367984573330085357785144161195055826644929520475885939675351656144181345971885281330253 (116 digits)
Divisors found:
r1=7782467639130022719851389155463905580316595127901381 (pp52)
r2=6736316251308628844990870866458479360056664967080573968430158313 (pp64)
Version: Msieve v. 1.47
Total time: 42.45 hours.
Factorization parameters were as follows:
n: 52425163232755069548377661603367984573330085357785144161195055826644929520475885939675351656144181345971885281330253
Y0: -34452930184970763669093
Y1: 1225897455397
c0: 407708618707773133899460009180
c1: 17379747509788071385313016
c2: 163862449686631786373
c3: -165095049827964
c4: -1033263612
c5: 1080
skew: 327680.68 
type: gnfs
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 9840951
Relations: 941558 relations
Pruned matrix : 535742 x 535971
Polynomial selection time: 2.78 hours.
Total sieving time: 38.35 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 1.10 hours.
time per square root: 0.09 hours.
Prototype def-par.txt line would be: gnfs,115,5,63,2000,2.6e-05,0.28,250,20,50000,3600,3400000,3400000,27,27,53,53,2.5,2.5,100000
total time: 42.45 hours.
Intel64 Family 6 Model 23 Stepping 10, GenuineIntel
Windows-Vista-6.0.6002-SP2
processors: 2, speed: 2.00GHz
software ソフトウェア
GGNFS + Msieve v1.47

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 14, 2010 05:00:00 UTC 2010 年 10 月 14 日 (木) 14 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 14, 2010 20:37:24 UTC 2010 年 10 月 15 日 (金) 5 時 37 分 24 秒 (日本時間)
403e6110 / 2126Ignacio SantosOctober 14, 2010 20:37:24 UTC 2010 年 10 月 15 日 (金) 5 時 37 分 24 秒 (日本時間)
4511e632 / 4437Ignacio SantosOctober 14, 2010 20:37:24 UTC 2010 年 10 月 15 日 (金) 5 時 37 分 24 秒 (日本時間)

88×10187-619

c155

name 名前Jo Yeong Uk
date 日付October 14, 2017 13:11:14 UTC 2017 年 10 月 14 日 (土) 22 時 11 分 14 秒 (日本時間)
composite number 合成数
10923282136842717381122338156121889956329965359990506432242701075046590684581455128606535553706186547676315372590448971963098322365103958823828371006003519<155>
prime factors 素因数
73409637847570509435124441137952720297229528582161<50>
1299998447675492301470338923812772854682552947726627<52>
114460920942379724421756673102155362712520420604059877<54>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 10923282136842717381122338156121889956329965359990506432242701075046590684581455128606535553706186547676315372590448971963098322365103958823828371006003519 (155 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2431617454
Step 1 took 25800ms
Step 2 took 8351ms
********** Factor found in step 2: 73409637847570509435124441137952720297229528582161
Found probable prime factor of 50 digits: 73409637847570509435124441137952720297229528582161
Composite cofactor 148799019544600889148354242884744707560375796812895849284716736362387473740819192838870122873073735244879 has 105 digits

GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 148799019544600889148354242884744707560375796812895849284716736362387473740819192838870122873073735244879 (105 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4796228813
Step 1 took 16288ms
Step 2 took 6484ms
********** Factor found in step 2: 1299998447675492301470338923812772854682552947726627
Found probable prime factor of 52 digits: 1299998447675492301470338923812772854682552947726627
Probable prime cofactor 114460920942379724421756673102155362712520420604059877 has 54 digits
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
351e6904118Makoto KamadaOctober 14, 2010 05:00:00 UTC 2010 年 10 月 14 日 (木) 14 時 0 分 0 秒 (日本時間)
786juno1369October 29, 2010 23:16:37 UTC 2010 年 10 月 30 日 (土) 8 時 16 分 37 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2014 05:12:22 UTC 2014 年 1 月 9 日 (木) 14 時 12 分 22 秒 (日本時間)
4511e6900 / 4372600Rich DickersonApril 22, 2014 14:51:02 UTC 2014 年 4 月 22 日 (火) 23 時 51 分 2 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:37:16 UTC 2014 年 5 月 27 日 (火) 9 時 37 分 16 秒 (日本時間)

88×10188-619

c138

name 名前juno1369
date 日付October 24, 2010 22:25:47 UTC 2010 年 10 月 25 日 (月) 7 時 25 分 47 秒 (日本時間)
composite number 合成数
425229765542307739286691184887563159047300730246546073662251286649616808550360937431085812445325356458063284985628087555343347439769191581<138>
prime factors 素因数
1325898697732119152882754131586493621<37>
320710598984402929266706598769246042371990223540177017864345775919041004893634590231409358194865426761<102>
factorization results 素因数分解の結果
NOTE: No need for a GNFS-138 here!

Input number is 425229765542307739286691184887563159047300730246546073662251286649616808550360937431085812445325356458063284985628087555343347439769191581 (138 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2505258815
Step 1 took 6568ms
Step 2 took 6068ms
********** Factor found in step 2: 1325898697732119152882754131586493621
Found probable prime factor of 37 digits: 1325898697732119152882754131586493621
Probable prime cofactor 320710598984402929266706598769246042371990223540177017864345775919041004893634590231409358194865426761 has 102 digits
software ソフトウェア
GMP-ECM 6.2.3.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 14, 2010 05:00:00 UTC 2010 年 10 月 14 日 (木) 14 時 0 分 0 秒 (日本時間)

88×10189-619

c142

name 名前juno1369
date 日付October 24, 2010 23:49:23 UTC 2010 年 10 月 25 日 (月) 8 時 49 分 23 秒 (日本時間)
composite number 合成数
3474249216695023070458507303153963249860999744872127521980795411517609427923095446928073285327294151011622482817434639629400503396311271152737<142>
prime factors 素因数
256185951730741634265765295513304802983<39>
13561435329391335963109059669429042204657107918914569045794441099976178798217178737047669968936818150839<104>
factorization results 素因数分解の結果
# Lucky again, there is no need for GNFS-142!

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=403810210
Step 1 took 6880ms
Step 2 took 6255ms
********** Factor found in step 2: 256185951730741634265765295513304802983
Found probable prime factor of 39 digits: 256185951730741634265765295513304802983
Probable prime cofactor 13561435329391335963109059669429042204657107918914569045794441099976178798217178737047669968936818150839 has 104 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 14, 2010 05:00:00 UTC 2010 年 10 月 14 日 (木) 14 時 0 分 0 秒 (日本時間)

88×10190-619

c144

name 名前Serge Batalov
date 日付January 9, 2014 04:52:41 UTC 2014 年 1 月 9 日 (木) 13 時 52 分 41 秒 (日本時間)
composite number 合成数
634145247274722605540691292172604011222282264928983332015937343917394902986901020640671615443035109532525311055478468420783099837837138605084429<144>
prime factors 素因数
565935573084209152772997627005273309<36>
1120525511090931372838783903947125048937412867270509221689410712810401342847195069385948547567990578832029681<109>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3021426895
Step 1 took 10204ms
********** Factor found in step 1: 565935573084209152772997627005273309
Found probable prime factor of 36 digits: 565935573084209152772997627005273309
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaOctober 14, 2010 05:00:00 UTC 2010 年 10 月 14 日 (木) 14 時 0 分 0 秒 (日本時間)
786juno1369October 27, 2010 02:07:25 UTC 2010 年 10 月 27 日 (水) 11 時 7 分 25 秒 (日本時間)
403e61000 / 2104juno1369October 27, 2010 11:24:33 UTC 2010 年 10 月 27 日 (水) 20 時 24 分 33 秒 (日本時間)

88×10191-619

c137

name 名前Eric Jeancolas
date 日付March 18, 2019 13:48:39 UTC 2019 年 3 月 18 日 (月) 22 時 48 分 39 秒 (日本時間)
composite number 合成数
78761024284255994537364286677284626648641893142033575895023842594799627275272706772261110334803513557074345605286501795379842907425195971<137>
prime factors 素因数
824321065897866334635602008777306046896493940559341801528763<60>
95546538287806553163567654576058183343884872978546951394891721023515701189017<77>
factorization results 素因数分解の結果
75353*202474429*572866188983489*1420381104991409846770735157*824321065897866334635602008777306046896493940559341801528763*95546538287806553163567654576058183343884872978546951394891721023515701189017

Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.ij9mjs89
Info:Database: Opened connection to database /tmp/cado.ij9mjs89/c135.db
Info:root: Set tasks.threads=12 based on detected logical cpus
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/ng/cado-nfs-2.3.0
Info:root: Command line parameters: ./cado-nfs.py 78761024284255994537364286677284626648641893142033575895023842594799627275272706772261110334803513557074345605286501795379842907425195971
Info:root: If this computation gets interrupted, it can be resumed with ./cado-nfs.py /tmp/cado.ij9mjs89/c135.parameters_snapshot.0
Info:Server Launcher: Adding ng-All-Series to whitelist to allow clients on localhost to connect
Info:HTTP server: Using non-threaded HTTPS server
Info:HTTP server: Using whitelist: localhost,ng-All-Series
Info:Complete Factorization: Factoring 78761024284255994537364286677284626648641893142033575895023842594799627275272706772261110334803513557074345605286501795379842907425195971
Info:HTTP server: serving at https://ng-All-Series:39883 (0.0.0.0)
Info:HTTP server: For debugging purposes, the URL above can be accessed if the server.only_registered=False parameter is added
Info:HTTP server: You can start additional cado-nfs-client.py scripts with parameters: --server=https://ng-All-Series:39883 --certsha1=696546151a343573fbeafc6e9db4b9167c17ce8e
Info:HTTP server: If you want to start additional clients, remember to add their hosts to server.whitelist
Info:Client Launcher: Starting client id localhost on host localhost
Info:Client Launcher: Starting client id localhost+2 on host localhost
Info:Client Launcher: Starting client id localhost+3 on host localhost
Info:Client Launcher: Starting client id localhost+4 on host localhost
Info:Client Launcher: Starting client id localhost+5 on host localhost
Info:Client Launcher: Starting client id localhost+6 on host localhost
Info:Client Launcher: Running clients: localhost (Host localhost, PID 17143), localhost+2 (Host localhost, PID 17146), localhost+3 (Host localhost, PID 17149), localhost+4 (Host localhost, PID 17152), localhost+5 (Host localhost, PID 17155), localhost+6 (Host localhost, PID 17158)
Info:Polynomial Selection (size optimized): Starting
Info:Polynomial Selection (size optimized): 0 polynomials in queue from previous run
Info:Polynomial Selection (size optimized): Adding workunit c135_polyselect1_0-2000 to database
Info:Polynomial Selection (size optimized): Adding workunit c135_polyselect1_2000-4000 to database
Info:Polynomial Selection (size optimized): Adding workunit c135_polyselect1_4000-6000 to database
Info:Polynomial Selection (size optimized): Adding workunit c135_polyselect1_6000-8000 to database
Info:Polynomial Selection (size optimized): Adding workunit c135_polyselect1_8000-10000 to database
Info:Polynomial Selection (size optimized): Adding workunit c135_polyselect1_10000-12000 to database
Info:Polynomial Selection (size optimized): Adding workunit c135_polyselect1_12000-14000 to database
Info:Polynomial Selection (size optimized): Adding workunit c135_polyselect1_14000-16000 to database
Info:Polynomial Selection (size optimized): Adding workunit c135_polyselect1_16000-18000 to database
Info:Polynomial Selection (size optimized): Adding workunit c135_polyselect1_18000-20000 to database
Info:HTTP server: 127.0.0.1 Sending workunit c135_polyselect1_0-2000 to client localhost
Info:HTTP server: 127.0.0.1 Sending workunit c135_polyselect1_2000-4000 to client localhost+2
Info:HTTP server: 127.0.0.1 Sending workunit c135_polyselect1_4000-6000 to client localhost+3
[33;1mWarning:HTTP server: 127.0.0.1 Connection error: [Errno 104] Connection reset by peer
Info:HTTP server: 127.0.0.1 Sending workunit c135_polyselect1_6000-8000 to client localhost+4
[33;1mWarning:HTTP server: 127.0.0.1 Connection error: [Errno 104] Connection reset by peer
Info:HTTP server: 127.0.0.1 Sending workunit c135_polyselect1_8000-10000 to client localhost+5
Info:HTTP server: 127.0.0.1 Sending workunit c135_polyselect1_10000-12000 to client localhost+6
Info:Polynomial Selection (size optimized): Adding workunit c135_polyselect1_20000-22000 to database
Info:Polynomial Selection (size optimized): Adding workunit c135_polyselect1_22000-24000 to database
Info:Polynomial Selection (size optimized): Adding workunit c135_polyselect1_24000-26000 to database
Info:Polynomial Selection (size optimized): Adding workunit c135_polyselect1_26000-28000 to database
Info:Polynomial Selection (size optimized): Adding workunit c135_polyselect1_28000-30000 to database
Info:Polynomial Selection (size optimized): Adding workunit c135_polyselect1_30000-32000 to database
Info:HTTP server: 127.0.0.1 Sending workunit c135_polyselect1_12000-14000 to client localhost+3
Info:Polynomial Selection (size optimized): Adding workunit c135_polyselect1_32000-34000 to database
Info:Polynomial Selection (size optimized): Parsed 354 polynomials, added 221 to priority queue (has 100)
Info:Polynomial Selection (size optimized): Worst polynomial in queue now has lognorm 38.460000
Info:Polynomial Selection (size optimized): Marking workunit c135_polyselect1_4000-6000 as ok (1.0% => ETA Unknown)
Info:Polynomial Selection (size optimized): Parsed 357 polynomials, added 53 to priority queue (has 100)
Info:Polynomial Selection (size optimized): Worst polynomial in queue now has lognorm 38.130000
Info:HTTP server: 127.0.0.1 Sending workunit c135_polyselect1_14000-16000 to client localhost+6
Info:HTTP server: 127.0.0.1 Sending workunit c135_polyselect1_16000-18000 to client localhost+4
Info:HTTP server: 127.0.0.1 Sending workunit c135_polyselect1_18000-20000 to client localhost
Info:HTTP server: 127.0.0.1 Sending workunit c135_polyselect1_20000-22000 to client localhost+5
Info:HTTP server: 127.0.0.1 Sending workunit c135_polyselect1_22000-24000 to client localhost+2
Info:Polynomial Selection (size optimized): Marking workunit c135_polyselect1_10000-12000 as ok (2.0% => ETA Sat Mar 16 09:09:40 2019)
Info:Polynomial Selection (size optimized): Adding workunit c135_polyselect1_34000-36000 to database
Info:Polynomial Selection (size optimized): Adding workunit c135_polyselect1_36000-38000 to database
Info:Polynomial Selection (size optimized): Adding workunit c135_polyselect1_38000-40000 to database
Info:Polynomial Selection (size optimized): Adding workunit c135_polyselect1_40000-42000 to database
Info:Polynomial Selection (size optimized): Adding workunit c135_polyselect1_42000-44000 to database
Info:Polynomial Selection (size optimized): Parsed 372 polynomials, added 52 to priority queue (has 100)
Info:Polynomial Selection (size optimized): Worst polynomial in queue now has lognorm 37.830000
Info:Polynomial Selection (size optimized): Marking workunit c135_polyselect1_0-2000 as ok (3.0% => ETA Sat Mar 16 08:26:12 2019)
Info:Polynomial Selection (size optimized): Parsed 383 polynomials, added 28 to priority queue (has 100)
Info:Polynomial Selection (size optimized): Worst polynomial in queue now has lognorm 37.700000
...EJ: many similar lines
Info:Polynomial Selection (size optimized): Marking workunit c135_polyselect1_196000-198000 as ok (99.0% => ETA Sat Mar 16 08:02:35 2019)
Info:Polynomial Selection (size optimized): Parsed 389 polynomials, added 3 to priority queue (has 100)
Info:Polynomial Selection (size optimized): Worst polynomial in queue now has lognorm 36.810000
Info:Polynomial Selection (size optimized): Marking workunit c135_polyselect1_198000-200000 as ok (100.0% => ETA Sat Mar 16 08:02:25 2019)
Info:Polynomial Selection (size optimized): Finished
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 35600.4
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 36565/41.850/49.229/54.820/0.949
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 36565/39.960/44.365/50.020/1.536
Info:Polynomial Selection (size optimized): Total time: 14364.6
Info:Polynomial Selection (root optimized): Starting
Info:Polynomial Selection (root optimized): No polynomial was previously found
Info:Polynomial Selection (root optimized): Adding workunit c135_polyselect2_0 to database
Info:Polynomial Selection (root optimized): Adding workunit c135_polyselect2_6 to database
Info:Polynomial Selection (root optimized): Adding workunit c135_polyselect2_12 to database
Info:Polynomial Selection (root optimized): Adding workunit c135_polyselect2_18 to database
Info:Polynomial Selection (root optimized): Adding workunit c135_polyselect2_24 to database
Info:Polynomial Selection (root optimized): Adding workunit c135_polyselect2_30 to database
Info:Polynomial Selection (root optimized): Adding workunit c135_polyselect2_36 to database
Info:Polynomial Selection (root optimized): Adding workunit c135_polyselect2_42 to database
Info:Polynomial Selection (root optimized): Adding workunit c135_polyselect2_48 to database
Info:Polynomial Selection (root optimized): Adding workunit c135_polyselect2_54 to database
Info:HTTP server: 127.0.0.1 Sending workunit c135_polyselect2_0 to client localhost
Info:Polynomial Selection (root optimized): Adding workunit c135_polyselect2_60 to database
Info:HTTP server: 127.0.0.1 Sending workunit c135_polyselect2_6 to client localhost+3
Info:Polynomial Selection (root optimized): Adding workunit c135_polyselect2_66 to database
Info:HTTP server: 127.0.0.1 Sending workunit c135_polyselect2_12 to client localhost+4
Info:Polynomial Selection (root optimized): Adding workunit c135_polyselect2_72 to database
Info:HTTP server: 127.0.0.1 Sending workunit c135_polyselect2_18 to client localhost+2
Info:Polynomial Selection (root optimized): Adding workunit c135_polyselect2_78 to database
Info:HTTP server: 127.0.0.1 Sending workunit c135_polyselect2_24 to client localhost+5
Info:Polynomial Selection (root optimized): Adding workunit c135_polyselect2_84 to database
Info:HTTP server: 127.0.0.1 Sending workunit c135_polyselect2_30 to client localhost+6
Info:Polynomial Selection (root optimized): Adding workunit c135_polyselect2_90 to database
Info:HTTP server: 127.0.0.1 Sending workunit c135_polyselect2_36 to client localhost+2
Info:Polynomial Selection (root optimized): Adding workunit c135_polyselect2_96 to database
Info:Polynomial Selection (root optimized): New best polynomial from file /tmp/cado.ij9mjs89/c135.upload/c135.polyselect2.pl6zdw08.opt_18: Murphy E = 2.64e-10
Info:Polynomial Selection (root optimized): Marking workunit c135_polyselect2_18 as ok (4.0% => ETA Unknown)
...EJ: many similar linesInfo:Polynomial Selection (root optimized): Best polynomial from file /tmp/cado.ij9mjs89/c135.upload/c135.polyselect2.jzcwbpro.opt_90 with E=2.39e-10 is no better than current best with E=2.71e-10
Info:Polynomial Selection (root optimized): Marking workunit c135_polyselect2_90 as ok (100.0% => ETA Sat Mar 16 08:13:49 2019)
Info:Polynomial Selection (root optimized): Finished, best polynomial from file /tmp/cado.ij9mjs89/c135.upload/c135.polyselect2.t5acribi.opt_72 has Murphy_E = 2.71e-10
Info:Polynomial Selection (root optimized): Best overall polynomial was 1-th in list after size optimization
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6912.82
Info:Polynomial Selection (root optimized): Rootsieve time: 6910.91
Info:Generate Factor Base: Starting
Info:Generate Factor Base: Finished
Info:Generate Factor Base: Total cpu/real time for makefb: 18.79/2.01102
Info:Generate Free Relations: Starting
Info:Generate Free Relations: Found 63483 free relations
Info:Generate Free Relations: Finished
Info:Generate Free Relations: Total cpu/real time for freerel: 272.32/23.7026
Info:Lattice Sieving: Starting
Info:Lattice Sieving: We want 19112516 relations
Info:Lattice Sieving: Adding workunit c135_sieving_10664570-10670000 to database
Info:Lattice Sieving: Adding workunit c135_sieving_10670000-10680000 to database
...EJ: many similar lines
Info:Lattice Sieving: Adding workunit c135_sieving_10740000-10750000 to database
Info:Lattice Sieving: Adding workunit c135_sieving_10750000-10760000 to database
Info:HTTP server: 127.0.0.1 Sending workunit c135_sieving_10664570-10670000 to client localhost+6
Info:Lattice Sieving: Adding workunit c135_sieving_10760000-10770000 to database
Info:HTTP server: 127.0.0.1 Sending workunit c135_sieving_10670000-10680000 to client localhost
Info:HTTP server: 127.0.0.1 Sending workunit c135_sieving_10680000-10690000 to client localhost+5
Info:Lattice Sieving: Adding workunit c135_sieving_10770000-10780000 to database
Info:Lattice Sieving: Adding workunit c135_sieving_10780000-10790000 to database
Info:HTTP server: 127.0.0.1 Sending workunit c135_sieving_10690000-10700000 to client localhost+4
Info:Lattice Sieving: Adding workunit c135_sieving_10790000-10800000 to database
Info:HTTP server: 127.0.0.1 Sending workunit c135_sieving_10700000-10710000 to client localhost+3
Info:Lattice Sieving: Adding workunit c135_sieving_10800000-10810000 to database
Info:HTTP server: 127.0.0.1 Sending workunit c135_sieving_10710000-10720000 to client localhost+2
Info:Lattice Sieving: Adding workunit c135_sieving_10810000-10820000 to database
Info:HTTP server: 127.0.0.1 Sending workunit c135_sieving_10720000-10730000 to client localhost+6
Info:Lattice Sieving: Adding workunit c135_sieving_10820000-10830000 to database
Info:Lattice Sieving: Found 8360 relations in '/tmp/cado.ij9mjs89/c135.upload/c135.10664570-10670000.53i7c1q8.gz', total is now 8360/19112516
Info:Lattice Sieving: Marking workunit c135_sieving_10664570-10670000 as ok (0.0% => ETA Unknown)
Info:HTTP server: 127.0.0.1 Sending workunit c135_sieving_10730000-10740000 to client localhost
Info:Lattice Sieving: Adding workunit c135_sieving_10830000-10840000 to database
Info:Lattice Sieving: Found 14350 relations in '/tmp/cado.ij9mjs89/c135.upload/c135.10670000-10680000._43yqgfm.gz', total is now 22710/19112516
Info:Lattice Sieving: Marking workunit c135_sieving_10670000-10680000 as ok (0.1% => ETA Sat Mar 23 05:58:34 2019)
...EJ: many similar lines
Info:HTTP server: 127.0.0.1 Sending workunit c135_sieving_26920000-26930000 to client localhost
Info:Lattice Sieving: Adding workunit c135_sieving_27020000-27030000 to database
Info:Lattice Sieving: Found 10380 relations in '/tmp/cado.ij9mjs89/c135.upload/c135.26860000-26870000.31iz9v8t.gz', total is now 19104224/19112516
Info:Lattice Sieving: Marking workunit c135_sieving_26860000-26870000 as ok (100.0% => ETA Mon Mar 18 03:00:35 2019)
Info:HTTP server: 127.0.0.1 Sending workunit c135_sieving_26930000-26940000 to client localhost+3
Info:Lattice Sieving: Adding workunit c135_sieving_27030000-27040000 to database
Info:Lattice Sieving: Found 10508 relations in '/tmp/cado.ij9mjs89/c135.upload/c135.26870000-26880000.p_94pmhp.gz', total is now 19114732/19112516
Info:Lattice Sieving: Marking workunit c135_sieving_26870000-26880000 as ok (100.0% => ETA Mon Mar 18 03:00:33 2019)
Info:HTTP server: 127.0.0.1 Sending workunit c135_sieving_26940000-26950000 to client localhost+6
Info:Lattice Sieving: Adding workunit c135_sieving_27040000-27050000 to database
Info:Lattice Sieving: Reached target of 19112516 relations, now have 19114732
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 19114732
Info:Lattice Sieving: Average J: 3783.91 for 969634 special-q, max bucket fill: 0.668321
Info:Lattice Sieving: Total CPU time: 1.75721e+06s
Info:Filtering - Duplicate Removal, splitting pass: Starting
Info:Filtering - Duplicate Removal, splitting pass: Splitting 1622 new files
Info:HTTP server: 127.0.0.1 Sending workunit c135_sieving_26950000-26960000 to client localhost+4
Info:HTTP server: 127.0.0.1 Sending workunit c135_sieving_26960000-26970000 to client localhost+5
Info:Filtering - Duplicate Removal, splitting pass: Relations per slice: 0: 9552035, 1: 9562697
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 124.82/206.444
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 206.3s
Info:Filtering - Duplicate Removal, removal pass: Starting
Info:Filtering - Duplicate Removal, removal pass: 8155062 unique relations remain on slice 0
Info:HTTP server: 127.0.0.1 Sending workunit c135_sieving_26970000-26980000 to client localhost+2
Info:HTTP server: 127.0.0.1 Sending workunit c135_sieving_26980000-26990000 to client localhost
Info:Filtering - Duplicate Removal, removal pass: 8165242 unique relations remain on slice 1
Info:Filtering - Duplicate Removal, removal pass: Of 19114732 newly added relations 16320304 were unique (ratio 0.853808)
Info:Filtering - Duplicate Removal, removal pass: 16320304 unique relations remain in total
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 502.67/329.678
Info:Filtering - Singleton removal: Starting
Info:Filtering - Singleton removal: Reading 16320304 unique and 63483 free relations, total 16383787
Info:HTTP server: 127.0.0.1 Sending workunit c135_sieving_26990000-27000000 to client localhost+3
Info:HTTP server: 127.0.0.1 Sending workunit c135_sieving_27000000-27010000 to client localhost+6
Info:Filtering - Singleton removal: After purge, 5160584 relations with 5160424 primes remain with weight 101640510 and excess 160
Info:Filtering - Singleton removal: Have enough relations
Info:HTTP server: Got notification to stop serving Workunits
Info:Lattice Sieving: Cancelling remaining workunits
Info:Client Launcher: Stopped client localhost (Host localhost, PID 17143)
Info:Client Launcher: Stopped client localhost+2 (Host localhost, PID 17146)
Info:Client Launcher: Stopped client localhost+3 (Host localhost, PID 17149)
Info:Client Launcher: Stopped client localhost+4 (Host localhost, PID 17152)
Info:Client Launcher: Stopped client localhost+5 (Host localhost, PID 17155)
Info:Client Launcher: Stopped client localhost+6 (Host localhost, PID 17158)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 317.35/234.533
Info:Filtering - Merging: Starting
Info:Filtering - Merging: Merged matrix has 1396311 rows and total weight 237373170 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 694.54/618.932
Info:Filtering - Merging: Total cpu/real time for replay: 45.84/35.3721
Info:Linear Algebra: Starting
Info:Linear Algebra: krylov: N=1000 ; ETA (N=44000): Mon Mar 18 08:56:25 2019 [0.103 s/iter]
Info:Linear Algebra: krylov: N=2000 ; ETA (N=44000): Mon Mar 18 09:01:16 2019 [0.110 s/iter]
...EJ: many similar lines
Info:Linear Algebra: krylov: N=43000 ; ETA (N=44000): Mon Mar 18 09:12:05 2019 [0.124 s/iter]
Info:Linear Algebra: krylov: N=44000 ; ETA (N=44000): Mon Mar 18 09:12:07 2019 [0.124 s/iter]
Info:Linear Algebra: lingen ETA: Mon Mar 18 09:12:19 2019
Info:Linear Algebra: lingen ETA: Mon Mar 18 09:13:08 2019
...EJ: many similar lines
Info:Linear Algebra: lingen ETA: Mon Mar 18 09:13:06 2019
Info:Linear Algebra: lingen ETA: Mon Mar 18 09:13:01 2019
Info:Linear Algebra: mksol: N=1000 ; ETA (N=22000): Mon Mar 18 10:01:04 2019 [0.131 s/iter]
Info:Linear Algebra: mksol: N=2000 ; ETA (N=22000): Mon Mar 18 10:01:48 2019 [0.133 s/iter]
...EJ: many similar lines
Info:Linear Algebra: mksol: N=21000 ; ETA (N=22000): Mon Mar 18 10:02:45 2019 [0.136 s/iter]
Info:Linear Algebra: mksol: N=22000 ; ETA (N=22000): Mon Mar 18 10:02:45 2019 [0.136 s/iter]
Info:Linear Algebra: Total cpu/real time for bwc: 216217/0.000913382
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 5478.7
Info:Linear Algebra: Lingen CPU time 408.54, WCT time 48.48
Info:Linear Algebra: Mksol: WCT time 2989.44
Info:Quadratic Characters: Starting
Info:Quadratic Characters: Total cpu/real time for characters: 94.24/23.0125
Info:Square Root: Starting
Info:Square Root: Creating file of (a,b) values
Info:Square Root: finished
Info:Square Root: Factors: 95546538287806553163567654576058183343884872978546951394891721023515701189017 824321065897866334635602008777306046896493940559341801528763
Info:Square Root: Total cpu/real time for sqrt: 2620.86/376.829
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 35600.4
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 36565/41.850/49.229/54.820/0.949
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 36565/39.960/44.365/50.020/1.536
Info:Polynomial Selection (size optimized): Total time: 14364.6
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6912.82
Info:Polynomial Selection (root optimized): Rootsieve time: 6910.91
Info:Generate Factor Base: Total cpu/real time for makefb: 18.79/2.01102
Info:Generate Free Relations: Total cpu/real time for freerel: 272.32/23.7026
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 19114732
Info:Lattice Sieving: Average J: 3783.91 for 969634 special-q, max bucket fill: 0.668321
Info:Lattice Sieving: Total CPU time: 1.75721e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 124.82/206.444
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 206.3s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 502.67/329.678
Info:Filtering - Singleton removal: Total cpu/real time for purge: 317.35/234.533
Info:Filtering - Merging: Total cpu/real time for merge: 694.54/618.932
Info:Filtering - Merging: Total cpu/real time for replay: 45.84/35.3721
Info:Linear Algebra: Total cpu/real time for bwc: 216217/0.000913382
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 5478.7
Info:Linear Algebra: Lingen CPU time 408.54, WCT time 48.48
Info:Linear Algebra: Mksol: WCT time 2989.44
Info:Quadratic Characters: Total cpu/real time for characters: 94.24/23.0125
Info:Square Root: Total cpu/real time for sqrt: 2620.86/376.829
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 1.9994e+06/9014.8
95546538287806553163567654576058183343884872978546951394891721023515701189017 824321065897866334635602008777306046896493940559341801528763
software ソフトウェア
cado-nfs-2.3.0
execution environment 実行環境
Linux Ubuntu 18.04 LTS 
GenuineIntel Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz [Family 6 Model 63 Stepping 2] (12 processors) 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaOctober 14, 2010 05:00:00 UTC 2010 年 10 月 14 日 (木) 14 時 0 分 0 秒 (日本時間)
786juno1369October 25, 2010 11:13:06 UTC 2010 年 10 月 25 日 (月) 20 時 13 分 6 秒 (日本時間)
403e60--
4511e6802 / 3946502juno1369October 26, 2010 22:24:52 UTC 2010 年 10 月 27 日 (水) 7 時 24 分 52 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:37:17 UTC 2014 年 5 月 27 日 (火) 9 時 37 分 17 秒 (日本時間)
5043e678 / 7296juno1369October 25, 2010 22:23:26 UTC 2010 年 10 月 26 日 (火) 7 時 23 分 26 秒 (日本時間)
5511e730 / 17691juno1369October 25, 2010 22:23:26 UTC 2010 年 10 月 26 日 (火) 7 時 23 分 26 秒 (日本時間)

88×10192-619

c188

name 名前Serge Batalov
date 日付October 14, 2010 21:06:22 UTC 2010 年 10 月 15 日 (金) 6 時 6 分 22 秒 (日本時間)
composite number 合成数
30245819460641424468111798172396359090741926514344595432950001941919090370727820963996132659538964348771418250533684047358079225487052211502141438388062799944870119983103585401305313331223<188>
prime factors 素因数
4476531037535297569557508133201129<34>
composite cofactor 合成数の残り
6756530716984431352814360981151257093158995424012446874855871820280735103357925717768403462820238836164588561278571789422548741378616241344140220125177087<154>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=448124697
Step 1 took 6033ms
Step 2 took 3047ms
********** Factor found in step 2: 4476531037535297569557508133201129
Found probable prime factor of 34 digits: 4476531037535297569557508133201129
Composite cofactor 6756530716984431352814360981151257093158995424012446874855871820280735103357925717768403462820238836164588561278571789422548741378616241344140220125177087 has 154 digits

c154

name 名前ivelive
date 日付August 19, 2020 02:11:58 UTC 2020 年 8 月 19 日 (水) 11 時 11 分 58 秒 (日本時間)
composite number 合成数
6756530716984431352814360981151257093158995424012446874855871820280735103357925717768403462820238836164588561278571789422548741378616241344140220125177087<154>
prime factors 素因数
2219777707584459887708192745869264743872297196601<49>
3043787084580113721789449586357545684009652124651020106962481072884795750857365758229275199159413724592887<106>
factorization results 素因数分解の結果
08/19/20 04:42:19 v1.34.5 @ DESKTOP-RJPVCOL, prp49 = 2219777707584459887708192745869264743872297196601 (curve 518 stg2 B1=43000000 sigma=1522999281 thread=7)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 14, 2010 05:00:00 UTC 2010 年 10 月 14 日 (木) 14 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 9, 2010 06:23:38 UTC 2010 年 11 月 9 日 (火) 15 時 23 分 38 秒 (日本時間)
403e63210110Ignacio SantosNovember 9, 2010 06:23:38 UTC 2010 年 11 月 9 日 (火) 15 時 23 分 38 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:12:23 UTC 2014 年 1 月 9 日 (木) 14 時 12 分 23 秒 (日本時間)
1500Dmitry DomanovJanuary 13, 2014 13:43:18 UTC 2014 年 1 月 13 日 (月) 22 時 43 分 18 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:08:21 UTC 2014 年 5 月 27 日 (火) 3 時 8 分 21 秒 (日本時間)
4511e632Ignacio SantosNovember 9, 2010 06:23:38 UTC 2010 年 11 月 9 日 (火) 15 時 23 分 38 秒 (日本時間)
5043e62592 / 74221296iveliveAugust 18, 2020 03:54:46 UTC 2020 年 8 月 18 日 (火) 12 時 54 分 46 秒 (日本時間)
1296iveliveAugust 18, 2020 12:18:51 UTC 2020 年 8 月 18 日 (火) 21 時 18 分 51 秒 (日本時間)

88×10193-619

c155

name 名前Serge Batalov
date 日付October 14, 2010 20:23:29 UTC 2010 年 10 月 15 日 (金) 5 時 23 分 29 秒 (日本時間)
composite number 合成数
16819862469243036266940538588561823525608121258876294585483410507159902705707625031322433487945515671637232718521134346017417026243051369254159606696335131<155>
prime factors 素因数
23715477539397227351896833692333<32>
709235664401069620059642277067954749967732754729276088235561456616806868603767149831515914140616809926259609082488505733607<123>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=4071984509
Step 1 took 5407ms
Step 2 took 2647ms
********** Factor found in step 2: 23715477539397227351896833692333
Found probable prime factor of 32 digits: 23715477539397227351896833692333
Probable prime cofactor has 123 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 14, 2010 05:00:00 UTC 2010 年 10 月 14 日 (木) 14 時 0 分 0 秒 (日本時間)

88×10196-619

c190

name 名前Robert Backstrom
date 日付October 24, 2010 01:12:59 UTC 2010 年 10 月 24 日 (日) 10 時 12 分 59 秒 (日本時間)
composite number 合成数
1312097999359043109354015075269448531219681823064029110528274197754916527747172719187614642978484764211016961966473239117927746493708472946338169394061409565022351567053774492111429010091049<190>
prime factors 素因数
267009876333725993048935530358944216561516567803985842520257946416683456808938801791258427823<93>
4914042946183381049373055312350810182582967339077252408494687169892384228167383672807699696983463<97>
factorization results 素因数分解の結果
Number: n
N=1312097999359043109354015075269448531219681823064029110528274197754916527747172719187614642978484764211016961966473239117927746493708472946338169394061409565022351567053774492111429010091049
  ( 190 digits)
SNFS difficulty: 197 digits.
Divisors found:

Sun Oct 24 12:08:20 2010  prp93 factor: 267009876333725993048935530358944216561516567803985842520257946416683456808938801791258427823
Sun Oct 24 12:08:20 2010  prp97 factor: 4914042946183381049373055312350810182582967339077252408494687169892384228167383672807699696983463
Sun Oct 24 12:08:20 2010  elapsed time 07:14:38 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.090).
Factorization parameters were as follows:
name: KA_9_7_195_1
n: 1312097999359043109354015075269448531219681823064029110528274197754916527747172719187614642978484764211016961966473239117927746493708472946338169394061409565022351567053774492111429010091049
m: 1000000000000000000000000000000000000000
deg: 5
c5: 880
c0: -61
skew: 0.59
type: snfs
lss: 1
rlim: 13900000
alim: 13900000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
Factor base limits: 13900000/13900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 14850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3443199 hash collisions in 26413683 relations
Msieve: matrix is 2176338 x 2176563 (621.6 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,197,5,0,0,0,0,0,0,0,0,13900000,13900000,28,28,56,56,2.5,2.5,100000
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: 4015340k/5242880k available (3972k kernel code, 1049604k absent, 177936k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.05 BogoMIPS (lpj=2830525)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830446)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.93 BogoMIPS (lpj=2830468)
Total of 4 processors activated (22643.79 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 14, 2010 05:00:00 UTC 2010 年 10 月 14 日 (木) 14 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 15, 2010 06:38:48 UTC 2010 年 10 月 15 日 (金) 15 時 38 分 48 秒 (日本時間)
403e62126110Ignacio SantosOctober 15, 2010 06:38:48 UTC 2010 年 10 月 15 日 (金) 15 時 38 分 48 秒 (日本時間)
2016Wataru SakaiOctober 16, 2010 03:45:35 UTC 2010 年 10 月 16 日 (土) 12 時 45 分 35 秒 (日本時間)
4511e632 / 3991Ignacio SantosOctober 15, 2010 06:38:48 UTC 2010 年 10 月 15 日 (金) 15 時 38 分 48 秒 (日本時間)

88×10198-619

c158

name 名前Serge Batalov
date 日付January 9, 2014 06:18:09 UTC 2014 年 1 月 9 日 (木) 15 時 18 分 9 秒 (日本時間)
composite number 合成数
45427329526014600218071653026501861862165232128837140152665870960095241537525349616985735805383892140750912526666927373123132484193498757247352821526062269789<158>
prime factors 素因数
24693428336748419355239773996896221<35>
composite cofactor 合成数の残り
1839652595278164562465166813417376625885267565574668077191807528635650689323178196930637977644582037336818662208708962087809<124>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3758457314
Step 1 took 11639ms
Step 2 took 4786ms
********** Factor found in step 2: 24693428336748419355239773996896221
Found probable prime factor of 35 digits: 24693428336748419355239773996896221
Composite cofactor 

c124

name 名前Cyp
date 日付January 15, 2014 19:52:54 UTC 2014 年 1 月 16 日 (木) 4 時 52 分 54 秒 (日本時間)
composite number 合成数
1839652595278164562465166813417376625885267565574668077191807528635650689323178196930637977644582037336818662208708962087809<124>
prime factors 素因数
16838651574171952410752329174038919083543463000859857007<56>
109251776317999514902743160223276777951156243677644431265033102332687<69>
factorization results 素因数分解の結果
01/15/14 13:11:55 v1.34.3, nfs: commencing nfs on c124: 1839652595278164562465166813417376625885267565574668077191807528635650689323178196930637977644582037336818662208708962087809
01/15/14 13:11:55 v1.34.3, nfs: commencing poly selection with 8 threads
01/15/14 13:11:55 v1.34.3, nfs: setting deadline of 2964 seconds
01/15/14 14:03:23 v1.34.3, nfs: completed 257 ranges of size 250 in 3088.2400 seconds
01/15/14 14:03:23 v1.34.3, nfs: best poly = # norm 9.263571e-12 alpha -7.012647 e 1.915e-10 rroots 5
01/15/14 14:03:23 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/15/14 14:09:18 v1.34.3, nfs: commencing lattice sieving with 8 threads
[50 lines snipped]
01/15/14 19:17:49 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/15/14 19:24:08 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/15/14 19:30:23 v1.34.3, nfs: commencing msieve filtering
01/15/14 19:32:15 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/15/14 19:38:28 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/15/14 19:44:53 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/15/14 19:51:08 v1.34.3, nfs: commencing msieve filtering
01/15/14 19:53:06 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/15/14 19:59:18 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/15/14 20:06:00 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/15/14 20:12:17 v1.34.3, nfs: commencing msieve filtering
01/15/14 20:14:46 v1.34.3, nfs: commencing msieve linear algebra
01/15/14 20:38:26 v1.34.3, nfs: commencing msieve sqrt
01/15/14 20:52:53 v1.34.3, prp69 = 109251776317999514902743160223276777951156243677644431265033102332687
01/15/14 20:52:53 v1.34.3, prp56 = 16838651574171952410752329174038919083543463000859857007
01/15/14 20:52:54 v1.34.3, NFS elapsed time = 27658.6374 seconds.
01/15/14 20:52:54 v1.34.3, 
01/15/14 20:52:54 v1.34.3, 
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaOctober 14, 2010 05:00:00 UTC 2010 年 10 月 14 日 (木) 14 時 0 分 0 秒 (日本時間)
786juno1369October 30, 2010 02:46:02 UTC 2010 年 10 月 30 日 (土) 11 時 46 分 2 秒 (日本時間)
403e6300 / 2104Serge BatalovJanuary 9, 2014 05:12:24 UTC 2014 年 1 月 9 日 (木) 14 時 12 分 24 秒 (日本時間)

88×10200-619

c200

name 名前Serge Batalov
date 日付October 14, 2010 19:13:57 UTC 2010 年 10 月 15 日 (金) 4 時 13 分 57 秒 (日本時間)
composite number 合成数
31541218637992831541218637992831541218637992831541218637992831541218637992831541218637992831541218637992831541218637992831541218637992831541218637992831541218637992831541218637992831541218637992831541<200>
prime factors 素因数
4155266846648055808340566539516869465771<40>
composite cofactor 合成数の残り
7590660191519661578664544829694248061232994568503354453033664836014113362236385412977157808924868931044205323113624779765570673776890751442551272521122226995871<160>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2425934600
Step 1 took 3541ms
Step 2 took 1992ms
********** Factor found in step 2: 4155266846648055808340566539516869465771
Found probable prime factor of 40 digits: 4155266846648055808340566539516869465771
Composite cofactor 7590660191519661578664544829694248061232994568503354453033664836014113362236385412977157808924868931044205323113624779765570673776890751442551272521122226995871 has 160 digits

c160

name 名前Serge Batalov
date 日付May 26, 2014 18:30:42 UTC 2014 年 5 月 27 日 (火) 3 時 30 分 42 秒 (日本時間)
composite number 合成数
7590660191519661578664544829694248061232994568503354453033664836014113362236385412977157808924868931044205323113624779765570673776890751442551272521122226995871<160>
prime factors 素因数
18163811307549411611458497764685050521<38>
composite cofactor 合成数の残り
417900189723109545513622047423454160708436236273049712602713799313158016354661631947097487751185043900068265822432298703351<123>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3461701770
Step 1 took 11388ms
********** Factor found in step 1: 18163811307549411611458497764685050521
Found probable prime factor of 38 digits: 18163811307549411611458497764685050521
Composite cofactor

c123

name 名前Cyp
date 日付May 28, 2014 01:07:33 UTC 2014 年 5 月 28 日 (水) 10 時 7 分 33 秒 (日本時間)
composite number 合成数
417900189723109545513622047423454160708436236273049712602713799313158016354661631947097487751185043900068265822432298703351<123>
prime factors 素因数
134165789798644330603404492394906406992336511<45>
3114804380090431894048241851823842231243784182046041575402360642578665680482441<79>
factorization results 素因数分解の結果
05/27/14 20:21:42 v1.34.3, 
05/27/14 20:21:42 v1.34.3, ****************************
05/27/14 20:21:42 v1.34.3, Starting factorization of 417900189723109545513622047423454160708436236273049712602713799313158016354661631947097487751185043900068265822432298703351
05/27/14 20:21:42 v1.34.3, using pretesting plan: none
05/27/14 20:21:42 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
05/27/14 20:21:42 v1.34.3, ****************************
05/27/14 20:21:42 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C123
05/27/14 20:21:42 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C123
05/27/14 20:21:42 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C123
05/27/14 20:21:42 v1.34.3, final ECM pretested depth: 0.00
05/27/14 20:21:42 v1.34.3, scheduler: switching to sieve method
05/27/14 20:21:42 v1.34.3, nfs: commencing nfs on c123: 417900189723109545513622047423454160708436236273049712602713799313158016354661631947097487751185043900068265822432298703351
05/27/14 20:21:42 v1.34.3, nfs: commencing poly selection with 8 threads
05/27/14 20:21:42 v1.34.3, nfs: setting deadline of 2752 seconds
05/27/14 21:11:49 v1.34.3, nfs: completed 197 ranges of size 250 in 3006.4870 seconds
05/27/14 21:11:49 v1.34.3, nfs: best poly = # norm 1.022561e-11 alpha -7.214686 e 2.007e-10 rroots 3
05/27/14 21:11:49 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/27/14 21:18:07 v1.34.3, nfs: commencing lattice sieving with 8 threads
[47 lines snipped]
05/28/14 02:09:46 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/28/14 02:15:30 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/28/14 02:21:34 v1.34.3, nfs: commencing msieve filtering
05/28/14 02:23:16 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/28/14 02:29:10 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/28/14 02:34:56 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/28/14 02:40:50 v1.34.3, nfs: commencing msieve filtering
05/28/14 02:43:02 v1.34.3, nfs: commencing msieve linear algebra
05/28/14 03:05:09 v1.34.3, nfs: commencing msieve sqrt
05/28/14 03:07:32 v1.34.3, prp79 = 3114804380090431894048241851823842231243784182046041575402360642578665680482441
05/28/14 03:07:32 v1.34.3, prp45 = 134165789798644330603404492394906406992336511
05/28/14 03:07:32 v1.34.3, NFS elapsed time = 24349.4491 seconds.
05/28/14 03:07:32 v1.34.3, 
05/28/14 03:07:32 v1.34.3, 
05/28/14 03:07:32 v1.34.3, Total factoring time = 24349.4914 seconds
--
Wed May 28 02:21:34 2014  
Wed May 28 02:21:34 2014  commencing relation filtering
Wed May 28 02:21:34 2014  estimated available RAM is 15988.7 MB
Wed May 28 02:21:34 2014  commencing duplicate removal, pass 1
Wed May 28 02:22:08 2014  found 1171489 hash collisions in 10188358 relations
Wed May 28 02:22:18 2014  added 62895 free relations
Wed May 28 02:22:18 2014  commencing duplicate removal, pass 2
Wed May 28 02:22:26 2014  found 643108 duplicates and 9608145 unique relations
Wed May 28 02:22:26 2014  memory use: 41.3 MB
Wed May 28 02:22:26 2014  reading ideals above 100000
Wed May 28 02:22:26 2014  commencing singleton removal, initial pass
Wed May 28 02:23:11 2014  memory use: 344.5 MB
Wed May 28 02:23:11 2014  reading all ideals from disk
Wed May 28 02:23:11 2014  memory use: 344.3 MB
Wed May 28 02:23:11 2014  keeping 10912987 ideals with weight <= 200, target excess is 48929
Wed May 28 02:23:12 2014  commencing in-memory singleton removal
Wed May 28 02:23:12 2014  begin with 9608145 relations and 10912987 unique ideals
Wed May 28 02:23:16 2014  reduce to 3051171 relations and 3119868 ideals in 23 passes
Wed May 28 02:23:16 2014  max relations containing the same ideal: 97
Wed May 28 02:40:50 2014  
Wed May 28 02:40:50 2014  commencing relation filtering
Wed May 28 02:40:50 2014  estimated available RAM is 15988.7 MB
Wed May 28 02:40:50 2014  commencing duplicate removal, pass 1
Wed May 28 02:41:26 2014  found 1299412 hash collisions in 10843997 relations
Wed May 28 02:41:36 2014  added 86 free relations
Wed May 28 02:41:36 2014  commencing duplicate removal, pass 2
Wed May 28 02:41:45 2014  found 710437 duplicates and 10133646 unique relations
Wed May 28 02:41:45 2014  memory use: 41.3 MB
Wed May 28 02:41:45 2014  reading ideals above 720000
Wed May 28 02:41:45 2014  commencing singleton removal, initial pass
Wed May 28 02:42:28 2014  memory use: 344.5 MB
Wed May 28 02:42:30 2014  reading all ideals from disk
Wed May 28 02:42:30 2014  memory use: 293.5 MB
Wed May 28 02:42:30 2014  commencing in-memory singleton removal
Wed May 28 02:42:31 2014  begin with 10133646 relations and 11074212 unique ideals
Wed May 28 02:42:34 2014  reduce to 3799669 relations and 3625751 ideals in 18 passes
Wed May 28 02:42:34 2014  max relations containing the same ideal: 71
Wed May 28 02:42:35 2014  removing 280391 relations and 260438 ideals in 19953 cliques
Wed May 28 02:42:35 2014  commencing in-memory singleton removal
Wed May 28 02:42:35 2014  begin with 3519278 relations and 3625751 unique ideals
Wed May 28 02:42:36 2014  reduce to 3500822 relations and 3346707 ideals in 10 passes
Wed May 28 02:42:36 2014  max relations containing the same ideal: 67
Wed May 28 02:42:37 2014  removing 201764 relations and 181811 ideals in 19953 cliques
Wed May 28 02:42:37 2014  commencing in-memory singleton removal
Wed May 28 02:42:37 2014  begin with 3299058 relations and 3346707 unique ideals
Wed May 28 02:42:38 2014  reduce to 3288359 relations and 3154126 ideals in 8 passes
Wed May 28 02:42:38 2014  max relations containing the same ideal: 66
Wed May 28 02:42:39 2014  relations with 0 large ideals: 500
Wed May 28 02:42:39 2014  relations with 1 large ideals: 2987
Wed May 28 02:42:39 2014  relations with 2 large ideals: 39549
Wed May 28 02:42:39 2014  relations with 3 large ideals: 214123
Wed May 28 02:42:39 2014  relations with 4 large ideals: 606318
Wed May 28 02:42:39 2014  relations with 5 large ideals: 958401
Wed May 28 02:42:39 2014  relations with 6 large ideals: 866562
Wed May 28 02:42:39 2014  relations with 7+ large ideals: 599919
Wed May 28 02:42:39 2014  commencing 2-way merge
Wed May 28 02:42:41 2014  reduce to 1844768 relation sets and 1710537 unique ideals
Wed May 28 02:42:41 2014  ignored 2 oversize relation sets
Wed May 28 02:42:41 2014  commencing full merge
Wed May 28 02:42:55 2014  memory use: 184.4 MB
Wed May 28 02:42:56 2014  found 912390 cycles, need 896737
Wed May 28 02:42:56 2014  weight of 896737 cycles is about 62790034 (70.02/cycle)
Wed May 28 02:42:56 2014  distribution of cycle lengths:
Wed May 28 02:42:56 2014  1 relations: 118984
Wed May 28 02:42:56 2014  2 relations: 110934
Wed May 28 02:42:56 2014  3 relations: 106296
Wed May 28 02:42:56 2014  4 relations: 92437
Wed May 28 02:42:56 2014  5 relations: 80274
Wed May 28 02:42:56 2014  6 relations: 66660
Wed May 28 02:42:56 2014  7 relations: 57999
Wed May 28 02:42:56 2014  8 relations: 48250
Wed May 28 02:42:56 2014  9 relations: 39966
Wed May 28 02:42:56 2014  10+ relations: 174937
Wed May 28 02:42:56 2014  heaviest cycle: 23 relations
Wed May 28 02:42:56 2014  commencing cycle optimization
Wed May 28 02:42:57 2014  start with 5321518 relations
Wed May 28 02:43:01 2014  pruned 104219 relations
Wed May 28 02:43:01 2014  memory use: 183.0 MB
Wed May 28 02:43:01 2014  distribution of cycle lengths:
Wed May 28 02:43:01 2014  1 relations: 118984
Wed May 28 02:43:01 2014  2 relations: 113325
Wed May 28 02:43:01 2014  3 relations: 109559
Wed May 28 02:43:01 2014  4 relations: 93993
Wed May 28 02:43:01 2014  5 relations: 81424
Wed May 28 02:43:01 2014  6 relations: 67143
Wed May 28 02:43:01 2014  7 relations: 58062
Wed May 28 02:43:01 2014  8 relations: 47956
Wed May 28 02:43:01 2014  9 relations: 39225
Wed May 28 02:43:01 2014  10+ relations: 167066
Wed May 28 02:43:01 2014  heaviest cycle: 23 relations
Wed May 28 02:43:02 2014  RelProcTime: 132
Wed May 28 02:43:02 2014  
Wed May 28 02:43:02 2014  commencing linear algebra
Wed May 28 02:43:02 2014  read 896737 cycles
Wed May 28 02:43:03 2014  cycles contain 3126989 unique relations
Wed May 28 02:43:18 2014  read 3126989 relations
Wed May 28 02:43:20 2014  using 20 quadratic characters above 134217530
Wed May 28 02:43:30 2014  building initial matrix
Wed May 28 02:43:47 2014  memory use: 400.9 MB
Wed May 28 02:43:47 2014  read 896737 cycles
Wed May 28 02:43:47 2014  matrix is 896550 x 896737 (273.0 MB) with weight 86423774 (96.38/col)
Wed May 28 02:43:47 2014  sparse part has weight 60791582 (67.79/col)
Wed May 28 02:43:52 2014  filtering completed in 2 passes
Wed May 28 02:43:52 2014  matrix is 892771 x 892957 (272.5 MB) with weight 86245190 (96.58/col)
Wed May 28 02:43:52 2014  sparse part has weight 60730525 (68.01/col)
Wed May 28 02:43:54 2014  matrix starts at (0, 0)
Wed May 28 02:43:55 2014  matrix is 892771 x 892957 (272.5 MB) with weight 86245190 (96.58/col)
Wed May 28 02:43:55 2014  sparse part has weight 60730525 (68.01/col)
Wed May 28 02:43:55 2014  saving the first 48 matrix rows for later
Wed May 28 02:43:55 2014  matrix includes 64 packed rows
Wed May 28 02:43:55 2014  matrix is 892723 x 892957 (263.3 MB) with weight 68641265 (76.87/col)
Wed May 28 02:43:55 2014  sparse part has weight 60103258 (67.31/col)
Wed May 28 02:43:55 2014  using block size 65536 for processor cache size 8192 kB
Wed May 28 02:43:57 2014  commencing Lanczos iteration (8 threads)
Wed May 28 02:43:57 2014  memory use: 250.8 MB
Wed May 28 02:44:01 2014  linear algebra at 0.3%, ETA 0h19m
Wed May 28 03:05:09 2014  lanczos halted after 14121 iterations (dim = 892723)
Wed May 28 03:05:09 2014  recovered 31 nontrivial dependencies
Wed May 28 03:05:09 2014  BLanczosTime: 1327
Wed May 28 03:05:09 2014  
Wed May 28 03:05:09 2014  commencing square root phase
Wed May 28 03:05:09 2014  reading relations for dependency 1
Wed May 28 03:05:09 2014  read 446263 cycles
Wed May 28 03:05:10 2014  cycles contain 1561990 unique relations
Wed May 28 03:05:21 2014  read 1561990 relations
Wed May 28 03:05:25 2014  multiplying 1561990 relations
Wed May 28 03:06:20 2014  multiply complete, coefficients have about 68.49 million bits
Wed May 28 03:06:21 2014  initial square root is modulo 82559
Wed May 28 03:07:32 2014  sqrtTime: 143
--
n: 417900189723109545513622047423454160708436236273049712602713799313158016354661631947097487751185043900068265822432298703351
skew: 357854.92
c0: -14618829113129494097199433750848
c1: 69046759764031046178851918
c2: 310228910544993221229
c3: -1961785226962488
c4: -2365964026
c5: 8520
Y0: -547175854339526600628133
Y1: 7485388213579
rlim: 6400000
alim: 6400000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 14, 2010 05:00:00 UTC 2010 年 10 月 14 日 (木) 14 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 9, 2010 11:59:51 UTC 2010 年 11 月 9 日 (火) 20 時 59 分 51 秒 (日本時間)
403e63210110Ignacio SantosNovember 9, 2010 11:59:51 UTC 2010 年 11 月 9 日 (火) 20 時 59 分 51 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:12:24 UTC 2014 年 1 月 9 日 (木) 14 時 12 分 24 秒 (日本時間)
1500Dmitry DomanovJanuary 13, 2014 13:43:37 UTC 2014 年 1 月 13 日 (月) 22 時 43 分 37 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:08:21 UTC 2014 年 5 月 27 日 (火) 3 時 8 分 21 秒 (日本時間)
4511e632 / 3752Ignacio SantosNovember 9, 2010 11:59:51 UTC 2010 年 11 月 9 日 (火) 20 時 59 分 51 秒 (日本時間)

88×10201-619

c184

name 名前ivelive
date 日付August 20, 2020 01:25:50 UTC 2020 年 8 月 20 日 (木) 10 時 25 分 50 秒 (日本時間)
composite number 合成数
6420906150615029175515190598975607360228449266252293526180040377713537000262384354021861122959006095721096630726322538837637519462800006921017565730229425563463969210832979205598162107<184>
prime factors 素因数
8377739977711540800657514189103248150967545246751<49>
composite cofactor 合成数の残り
766424616626614453607917340719090060447804678528870089749096651494963138851902964276250256353217118342396449892228325903588178429072357<135>
factorization results 素因数分解の結果
GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 6420906150615029175515190598975607360228449266252293526180040377713537000262384354021861122959006095721096630726322538837637519462800006921017565730229425563463969210832979205598162107 (184 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1796633394
Step 1 took 18781ms
Step 2 took 8328ms
********** Factor found in step 2: 8377739977711540800657514189103248150967545246751
Found prime factor of 49 digits: 8377739977711540800657514189103248150967545246751
Composite cofactor 766424616626614453607917340719090060447804678528870089749096651494963138851902964276250256353217118342396449892228325903588178429072357 has 135 digits

c135

name 名前ivelive
date 日付August 21, 2020 13:17:44 UTC 2020 年 8 月 21 日 (金) 22 時 17 分 44 秒 (日本時間)
composite number 合成数
766424616626614453607917340719090060447804678528870089749096651494963138851902964276250256353217118342396449892228325903588178429072357<135>
prime factors 素因数
1760433101013653803704033267296868916181141<43>
435361398388446977136229194576462554259840088275125536728171463323227686686652638995003394577<93>
factorization results 素因数分解の結果
08/20/20 14:59:02 v1.34.5 @ DESKTOP-RJPVCOL, nfs: previous data file found - commencing search for last special-q
08/20/20 14:59:03 v1.34.5 @ DESKTOP-RJPVCOL, nfs: parsing special-q from .dat file
08/20/20 14:59:03 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing nfs on c135: 766424616626614453607917340719090060447804678528870089749096651494963138851902964276250256353217118342396449892228325903588178429072357
08/20/20 14:59:03 v1.34.5 @ DESKTOP-RJPVCOL, nfs: resuming with filtering
08/20/20 14:59:03 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 32 threads
08/20/20 14:59:30 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing nfs on c135: 766424616626614453607917340719090060447804678528870089749096651494963138851902964276250256353217118342396449892228325903588178429072357
08/20/20 14:59:30 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing poly selection with 32 threads
08/20/20 14:59:30 v1.34.5 @ DESKTOP-RJPVCOL, nfs: setting deadline of 3600 seconds
08/20/20 20:50:16 v1.34.5 @ DESKTOP-RJPVCOL, nfs: completed 32 ranges of size 250 in 21045.8245 seconds
08/20/20 20:50:16 v1.34.5 @ DESKTOP-RJPVCOL, nfs: best poly = # norm 6.435537e-013 alpha -6.690030 e 4.361e-011 rroots 5
08/20/20 20:50:16 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 32 threads
08/20/20 21:14:38 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 32 threads
08/20/20 21:39:49 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 32 threads
08/20/20 22:04:50 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 32 threads
08/20/20 22:29:09 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 32 threads
08/20/20 22:54:26 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 32 threads
08/20/20 23:18:39 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 32 threads
08/20/20 23:44:09 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 32 threads
08/21/20 00:08:29 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 32 threads
08/21/20 00:33:28 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 32 threads
08/21/20 00:59:05 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 32 threads
08/21/20 01:24:50 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 32 threads
08/21/20 01:50:09 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 32 threads
08/21/20 02:16:11 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 32 threads
08/21/20 02:41:07 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 32 threads
08/21/20 03:06:17 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 32 threads
08/21/20 03:31:44 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 32 threads
08/21/20 03:56:37 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 32 threads
08/21/20 04:21:55 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 32 threads
08/21/20 04:46:51 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 32 threads
08/21/20 05:11:23 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 32 threads
08/21/20 05:36:32 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 32 threads
08/21/20 06:02:09 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 32 threads
08/21/20 06:26:47 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 32 threads
08/21/20 06:52:24 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 32 threads
08/21/20 07:17:27 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 32 threads
08/21/20 07:42:35 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 32 threads
08/21/20 08:07:30 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 32 threads
08/21/20 08:33:11 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 32 threads
08/21/20 08:58:01 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 32 threads
08/21/20 09:23:18 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 32 threads
08/21/20 09:49:10 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 32 threads
08/21/20 10:14:46 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 32 threads
08/21/20 10:40:11 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 32 threads
08/21/20 11:05:55 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 32 threads
08/21/20 11:31:17 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 32 threads
08/21/20 11:56:55 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 32 threads
08/21/20 12:23:01 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 32 threads
08/21/20 12:48:33 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 32 threads
08/21/20 13:13:38 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 32 threads
08/21/20 13:39:12 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 32 threads
08/21/20 14:05:42 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 32 threads
08/21/20 14:31:28 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 32 threads
08/21/20 14:57:55 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve filtering
08/21/20 15:03:04 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve linear algebra
08/21/20 16:22:09 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve sqrt
08/21/20 16:25:17 v1.34.5 @ DESKTOP-RJPVCOL, prp93 = 435361398388446977136229194576462554259840088275125536728171463323227686686652638995003394577
08/21/20 16:25:17 v1.34.5 @ DESKTOP-RJPVCOL, prp43 = 1760433101013653803704033267296868916181141
08/21/20 16:25:18 v1.34.5 @ DESKTOP-RJPVCOL, NFS elapsed time = 91548.0582 seconds.
Fri Aug 21 15:00:16 2020  found 1957659 hash collisions in 21051214 relations
Fri Aug 21 15:00:33 2020  added 121163 free relations
Fri Aug 21 15:00:33 2020  commencing duplicate removal, pass 2
Fri Aug 21 15:00:40 2020  found 1395667 duplicates and 19776710 unique relations
Fri Aug 21 15:00:40 2020  memory use: 98.6 MB
Fri Aug 21 15:00:40 2020  reading ideals above 720000
Fri Aug 21 15:00:40 2020  commencing singleton removal, initial pass
Fri Aug 21 15:01:59 2020  memory use: 689.0 MB
Fri Aug 21 15:01:59 2020  reading all ideals from disk
Fri Aug 21 15:01:59 2020  memory use: 631.0 MB
Fri Aug 21 15:02:00 2020  keeping 21598796 ideals with weight <= 200, target excess is 125639
Fri Aug 21 15:02:00 2020  commencing in-memory singleton removal
Fri Aug 21 15:02:01 2020  begin with 19776710 relations and 21598796 unique ideals
Fri Aug 21 15:02:09 2020  reduce to 7592530 relations and 7311985 ideals in 20 passes
Fri Aug 21 15:02:09 2020  max relations containing the same ideal: 104
Fri Aug 21 15:02:11 2020  removing 787145 relations and 719743 ideals in 67402 cliques
Fri Aug 21 15:02:11 2020  commencing in-memory singleton removal
Fri Aug 21 15:02:11 2020  begin with 6805385 relations and 7311985 unique ideals
Fri Aug 21 15:02:14 2020  reduce to 6733231 relations and 6519117 ideals in 10 passes
Fri Aug 21 15:02:14 2020  max relations containing the same ideal: 97
Fri Aug 21 15:02:16 2020  removing 575212 relations and 507810 ideals in 67402 cliques
Fri Aug 21 15:02:16 2020  commencing in-memory singleton removal
Fri Aug 21 15:02:16 2020  begin with 6158019 relations and 6519117 unique ideals
Fri Aug 21 15:02:18 2020  reduce to 6112993 relations and 5965801 ideals in 9 passes
Fri Aug 21 15:02:18 2020  max relations containing the same ideal: 92
Fri Aug 21 15:02:20 2020  relations with 0 large ideals: 513
Fri Aug 21 15:02:20 2020  relations with 1 large ideals: 1082
Fri Aug 21 15:02:20 2020  relations with 2 large ideals: 19451
Fri Aug 21 15:02:20 2020  relations with 3 large ideals: 145383
Fri Aug 21 15:02:20 2020  relations with 4 large ideals: 582763
Fri Aug 21 15:02:20 2020  relations with 5 large ideals: 1326865
Fri Aug 21 15:02:20 2020  relations with 6 large ideals: 1783056
Fri Aug 21 15:02:20 2020  relations with 7+ large ideals: 2253880
Fri Aug 21 15:02:20 2020  commencing 2-way merge
Fri Aug 21 15:02:22 2020  reduce to 3441933 relation sets and 3294746 unique ideals
Fri Aug 21 15:02:22 2020  ignored 5 oversize relation sets
Fri Aug 21 15:02:22 2020  commencing full merge
Fri Aug 21 15:02:52 2020  memory use: 362.0 MB
Fri Aug 21 15:02:53 2020  found 1755677 cycles, need 1736946
Fri Aug 21 15:02:53 2020  weight of 1736946 cycles is about 121709315 (70.07/cycle)
Fri Aug 21 15:02:53 2020  distribution of cycle lengths:
Fri Aug 21 15:02:53 2020  1 relations: 225402
Fri Aug 21 15:02:53 2020  2 relations: 221556
Fri Aug 21 15:02:53 2020  3 relations: 220355
Fri Aug 21 15:02:53 2020  4 relations: 193382
Fri Aug 21 15:02:53 2020  5 relations: 159955
Fri Aug 21 15:02:53 2020  6 relations: 138236
Fri Aug 21 15:02:53 2020  7 relations: 114447
Fri Aug 21 15:02:53 2020  8 relations: 93027
Fri Aug 21 15:02:53 2020  9 relations: 76333
Fri Aug 21 15:02:53 2020  10+ relations: 294253
Fri Aug 21 15:02:53 2020  heaviest cycle: 23 relations
Fri Aug 21 15:02:53 2020  commencing cycle optimization
Fri Aug 21 15:02:54 2020  start with 9748467 relations
Fri Aug 21 15:03:02 2020  pruned 167654 relations
Fri Aug 21 15:03:02 2020  memory use: 343.8 MB
Fri Aug 21 15:03:02 2020  distribution of cycle lengths:
Fri Aug 21 15:03:02 2020  1 relations: 225402
Fri Aug 21 15:03:02 2020  2 relations: 226090
Fri Aug 21 15:03:02 2020  3 relations: 226572
Fri Aug 21 15:03:02 2020  4 relations: 196087
Fri Aug 21 15:03:02 2020  5 relations: 162180
Fri Aug 21 15:03:02 2020  6 relations: 138251
Fri Aug 21 15:03:02 2020  7 relations: 114064
Fri Aug 21 15:03:02 2020  8 relations: 91810
Fri Aug 21 15:03:02 2020  9 relations: 75309
Fri Aug 21 15:03:02 2020  10+ relations: 281181
Fri Aug 21 15:03:02 2020  heaviest cycle: 23 relations
Fri Aug 21 15:03:04 2020  RelProcTime: 309
Fri Aug 21 15:03:04 2020  
Fri Aug 21 15:03:04 2020  commencing linear algebra
Fri Aug 21 15:03:04 2020  read 1736946 cycles
Fri Aug 21 15:03:05 2020  cycles contain 5920763 unique relations
Fri Aug 21 15:03:24 2020  read 5920763 relations
Fri Aug 21 15:03:29 2020  using 20 quadratic characters above 268435130
Fri Aug 21 15:03:46 2020  building initial matrix
Fri Aug 21 15:04:20 2020  memory use: 772.5 MB
Fri Aug 21 15:04:20 2020  read 1736946 cycles
Fri Aug 21 15:04:21 2020  matrix is 1736765 x 1736946 (530.8 MB) with weight 166166431 (95.67/col)
Fri Aug 21 15:04:21 2020  sparse part has weight 118311580 (68.11/col)
Fri Aug 21 15:04:28 2020  filtering completed in 2 passes
Fri Aug 21 15:04:28 2020  matrix is 1731664 x 1731844 (530.4 MB) with weight 165962809 (95.83/col)
Fri Aug 21 15:04:28 2020  sparse part has weight 118254752 (68.28/col)
Fri Aug 21 15:04:30 2020  matrix starts at (0, 0)
Fri Aug 21 15:04:31 2020  matrix is 1731664 x 1731844 (530.4 MB) with weight 165962809 (95.83/col)
Fri Aug 21 15:04:31 2020  sparse part has weight 118254752 (68.28/col)
Fri Aug 21 15:04:31 2020  saving the first 48 matrix rows for later
Fri Aug 21 15:04:31 2020  matrix includes 64 packed rows
Fri Aug 21 15:04:31 2020  matrix is 1731616 x 1731844 (510.4 MB) with weight 133227534 (76.93/col)
Fri Aug 21 15:04:31 2020  sparse part has weight 116486992 (67.26/col)
Fri Aug 21 15:04:31 2020  using block size 65536 for processor cache size 12288 kB
Fri Aug 21 15:04:36 2020  commencing Lanczos iteration (32 threads)
Fri Aug 21 15:04:36 2020  memory use: 811.0 MB
Fri Aug 21 15:04:40 2020  linear algebra at 0.1%, ETA 1h15m
Fri Aug 21 15:04:42 2020  checkpointing every 1220000 dimensions
Fri Aug 21 16:22:08 2020  lanczos halted after 27383 iterations (dim = 1731616)
Fri Aug 21 16:22:09 2020  recovered 31 nontrivial dependencies
Fri Aug 21 16:22:09 2020  BLanczosTime: 4745
Fri Aug 21 16:22:09 2020  
Fri Aug 21 16:22:09 2020  commencing square root phase
Fri Aug 21 16:22:09 2020  reading relations for dependency 1
Fri Aug 21 16:22:09 2020  read 866232 cycles
Fri Aug 21 16:22:10 2020  cycles contain 2959412 unique relations
Fri Aug 21 16:22:30 2020  read 2959412 relations
Fri Aug 21 16:22:38 2020  multiplying 2959412 relations
Fri Aug 21 16:23:52 2020  multiply complete, coefficients have about 128.30 million bits
Fri Aug 21 16:23:52 2020  initial square root is modulo 1618315729
Fri Aug 21 16:25:17 2020  sqrtTime: 188
n: 766424616626614453607917340719090060447804678528870089749096651494963138851902964276250256353217118342396449892228325903588178429072357
skew: 2570703.31
c0: -6239801253322525255013752093592100
c1: 30639138228262473938192911170
c2: 13295237332025778538302
c3: -16840466106735083
c4: -2111627482
c5: 528
Y0: -270624559586964199044761419
Y1: 79755871121423
rlim: 11500000
alim: 11500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
execution environment 実行環境
YAFU v1.34.5

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e63390290CypJanuary 4, 2014 01:49:32 UTC 2014 年 1 月 4 日 (土) 10 時 49 分 32 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:12:25 UTC 2014 年 1 月 9 日 (木) 14 時 12 分 25 秒 (日本時間)
1500Dmitry DomanovJanuary 13, 2014 13:43:49 UTC 2014 年 1 月 13 日 (月) 22 時 43 分 49 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:08:22 UTC 2014 年 5 月 27 日 (火) 3 時 8 分 22 秒 (日本時間)
4511e64096iveliveAugust 19, 2020 04:00:52 UTC 2020 年 8 月 19 日 (水) 13 時 0 分 52 秒 (日本時間)

88×10204-619

c195

name 名前Bob Backstrom
date 日付May 27, 2021 04:10:24 UTC 2021 年 5 月 27 日 (木) 13 時 10 分 24 秒 (日本時間)
composite number 合成数
290144590109332458498781746462198257596071862648329282199434681087741059574719115862701736210089249966238723565590640788329240574698306432228383310742260277976114132536960172411952975646993729681<195>
prime factors 素因数
2828434579663423660236072707003312803520079287707957524105993939037145593235919893<82>
102581333220674634858374618787277336963313456627750106616395229083385312716646168039803679710608617965520885765517<114>
factorization results 素因数分解の結果
Number: n
N=290144590109332458498781746462198257596071862648329282199434681087741059574719115862701736210089249966238723565590640788329240574698306432228383310742260277976114132536960172411952975646993729681
  ( 195 digits)
SNFS difficulty: 206 digits.
Divisors found:

Thu May 27 14:01:33 2021  p82 factor: 2828434579663423660236072707003312803520079287707957524105993939037145593235919893
Thu May 27 14:01:33 2021  p114 factor: 102581333220674634858374618787277336963313456627750106616395229083385312716646168039803679710608617965520885765517
Thu May 27 14:01:33 2021  elapsed time 02:37:51 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.345).
Factorization parameters were as follows:
#
# N = 88x10^204-61 = 97(203)1
#
n: 290144590109332458498781746462198257596071862648329282199434681087741059574719115862701736210089249966238723565590640788329240574698306432228383310742260277976114132536960172411952975646993729681
m: 100000000000000000000000000000000000000000
deg: 5
c5: 44
c0: -305
skew: 1.47
# Murphy_E = 6.164e-12
type: snfs
lss: 1
rlim: 19500000
alim: 19500000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19500000/19500000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 51350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9584946 hash collisions in 59756717 relations (52108302 unique)
Msieve: matrix is 2596209 x 2596434 (902.5 MB)

Sieving start time : 2021/05/26 17:54:48
Sieving end time  : 2021/05/27 11:22:25

Total sieving time: 17hrs 27min 37secs.

Total relation processing time: 2hrs 15min 40sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 20sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19500000,19500000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117662] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241088K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486148K reserved, 0K cma-reserved)
[    0.152608] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.07 BogoMIPS (lpj=12798140)
[    0.150211] smpboot: Total of 16 processors activated (102385.12 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:27:45 UTC 2014 年 1 月 7 日 (火) 5 時 27 分 45 秒 (日本時間)
403e63100300Serge BatalovJanuary 9, 2014 05:12:29 UTC 2014 年 1 月 9 日 (木) 14 時 12 分 29 秒 (日本時間)
1500Dmitry DomanovJanuary 13, 2014 13:44:03 UTC 2014 年 1 月 13 日 (月) 22 時 44 分 3 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:08:22 UTC 2014 年 5 月 27 日 (火) 3 時 8 分 22 秒 (日本時間)
4511e64096iveliveAugust 20, 2020 01:29:24 UTC 2020 年 8 月 20 日 (木) 10 時 29 分 24 秒 (日本時間)

88×10205-619

c192

name 名前Dmitry Domanov
date 日付January 14, 2014 06:03:53 UTC 2014 年 1 月 14 日 (火) 15 時 3 分 53 秒 (日本時間)
composite number 合成数
676283246712004441872820430842414717838329866556005120672301495541129058505941360534444232597255018553370368269257882232972332279975409086785748727616273868857583484766051490726538724023925161<192>
prime factors 素因数
343802102922478906581156442543745334053<39>
1967071291778846272049515781319670451209775891231744884781126272807334261937130018872147151209215331703556529354845282209013270586849400952909921812848437<154>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1856179082
Step 1 took 26526ms
Step 2 took 7512ms
********** Factor found in step 2: 343802102922478906581156442543745334053
Found probable prime factor of 39 digits: 343802102922478906581156442543745334053

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62090 / 2318290CypJanuary 4, 2014 03:37:48 UTC 2014 年 1 月 4 日 (土) 12 時 37 分 48 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:12:30 UTC 2014 年 1 月 9 日 (木) 14 時 12 分 30 秒 (日本時間)
1500Dmitry DomanovJanuary 13, 2014 13:44:14 UTC 2014 年 1 月 13 日 (月) 22 時 44 分 14 秒 (日本時間)

88×10206-619

c188

name 名前Serge Batalov
date 日付January 9, 2014 08:02:20 UTC 2014 年 1 月 9 日 (木) 17 時 2 分 20 秒 (日本時間)
composite number 合成数
99196374288215466176528900710967876263296091880671149187546839933936674856363673636454640166750755258888856360643194703878693619019750912622834744162555658103990009901648198898163867076183<188>
prime factors 素因数
2163164759758749251437105694502983<34>
composite cofactor 合成数の残り
45857059126313853234944998704445730025641761253082183764855289549172151714778160209593307669307854090173459051833875338689857861303714467625582290482860401<155>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=542294285
Step 1 took 13738ms
Step 2 took 5529ms
********** Factor found in step 2: 2163164759758749251437105694502983
Found probable prime factor of 34 digits: 2163164759758749251437105694502983
Composite cofactor

c155

name 名前Dmitry Domanov
date 日付January 14, 2014 13:21:27 UTC 2014 年 1 月 14 日 (火) 22 時 21 分 27 秒 (日本時間)
composite number 合成数
45857059126313853234944998704445730025641761253082183764855289549172151714778160209593307669307854090173459051833875338689857861303714467625582290482860401<155>
prime factors 素因数
42259262877292992794491190609853138041<38>
22799149532532613025089273138774971819062101<44>
47595471664650270086156718779660743068624620382328423251167528245513915861<74>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4138059483
Step 1 took 19464ms
Step 2 took 8791ms
********** Factor found in step 2: 42259262877292992794491190609853138041
Found probable prime factor of 38 digits: 42259262877292992794491190609853138041
Composite cofactor 1085136275553780434322333717708591344603326119351569124291976101960898641683827715041225521867059994454186780847883961 has 118 digits

N=1085136275553780434322333717708591344603326119351569124291976101960898641683827715041225521867059994454186780847883961
  ( 118 digits)
Divisors found:
 r1=22799149532532613025089273138774971819062101 (pp44)
 r2=47595471664650270086156718779660743068624620382328423251167528245513915861 (pp74)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 38.84 hours.
Scaled time: 69.37 units (timescale=1.786).
Factorization parameters were as follows:
n: 1085136275553780434322333717708591344603326119351569124291976101960898641683827715041225521867059994454186780847883961
skew: 268637.87
c0: -514434478410093937190377917440
c1: -152325036000596856520672
c2: 32982264776198379996
c3: -3548356563968
c4: -327683923
c5: 636
Y0: -70211047606251704884239
Y1: 31139425933
rlim: 4800000
alim: 4800000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
type: gnfs
Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2400000, 4000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 480065 x 480308
Total sieving time: 38.13 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 0.36 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
gnfs,117,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4800000,4800000,27,27,54,54,2.5,2.5,100000
total time: 38.84 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
351e6918118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:27:46 UTC 2014 年 1 月 7 日 (火) 5 時 27 分 46 秒 (日本時間)
403e61800 / 2100300Serge BatalovJanuary 9, 2014 05:12:30 UTC 2014 年 1 月 9 日 (木) 14 時 12 分 30 秒 (日本時間)
1500Dmitry DomanovJanuary 13, 2014 13:44:25 UTC 2014 年 1 月 13 日 (月) 22 時 44 分 25 秒 (日本時間)

88×10207-619

c139

name 名前Serge Batalov
date 日付December 4, 2013 05:01:54 UTC 2013 年 12 月 4 日 (水) 14 時 1 分 54 秒 (日本時間)
composite number 合成数
3431279010903172167030980987677973538405441829904349755062396635365749002475289425036250665940413734939922567895499086674469402678328132463<139>
prime factors 素因数
960106592671970846807050277790321214062162338327<48>
3573852150472108945914872198968649771407918285756744908523556320934469723083966423199217769<91>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=1693122484
Step 1 took 37658ms
Step 2 took 22926ms
********** Factor found in step 2: 960106592671970846807050277790321214062162338327
Found probable prime factor of 48 digits: 960106592671970846807050277790321214062162338327
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)

88×10209-619

c165

name 名前Dmitry Domanov
date 日付January 14, 2014 06:21:47 UTC 2014 年 1 月 14 日 (火) 15 時 21 分 47 秒 (日本時間)
composite number 合成数
754901746853459121645774702206074680245265182166452792620666835587361350420633284600240803532156427905424418404347991546118314035611256989847300609521245447045428769<165>
prime factors 素因数
3065488440215620561240944439177944863<37>
composite cofactor 合成数の残り
246258226568409693504795780251336326293249938456990170636071599919602432033275245753534202719155879830729975403337076593932124863<129>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1860851732
Step 1 took 22624ms
Step 2 took 6960ms
********** Factor found in step 2: 3065488440215620561240944439177944863
Found probable prime factor of 37 digits: 3065488440215620561240944439177944863

c129

name 名前Cyp
date 日付January 23, 2014 19:15:39 UTC 2014 年 1 月 24 日 (金) 4 時 15 分 39 秒 (日本時間)
composite number 合成数
246258226568409693504795780251336326293249938456990170636071599919602432033275245753534202719155879830729975403337076593932124863<129>
prime factors 素因数
5048901301574428407757137745514405309873<40>
48774616863993271394838796880364615604226675129398724028668055939987710855524073389515631<89>
factorization results 素因数分解の結果
01/23/14 01:54:48 v1.34.3, 
01/23/14 01:54:48 v1.34.3, ****************************
01/23/14 01:54:48 v1.34.3, Starting factorization of 246258226568409693504795780251336326293249938456990170636071599919602432033275245753534202719155879830729975403337076593932124863
01/23/14 01:54:48 v1.34.3, using pretesting plan: none
01/23/14 01:54:48 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/23/14 01:54:48 v1.34.3, ****************************
01/23/14 01:54:48 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C129
01/23/14 01:54:48 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C129
01/23/14 01:54:48 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C129
01/23/14 01:54:48 v1.34.3, final ECM pretested depth: 0.00
01/23/14 01:54:48 v1.34.3, scheduler: switching to sieve method
01/23/14 01:54:48 v1.34.3, nfs: commencing nfs on c129: 246258226568409693504795780251336326293249938456990170636071599919602432033275245753534202719155879830729975403337076593932124863
01/23/14 01:54:48 v1.34.3, nfs: commencing poly selection with 6 threads
01/23/14 01:54:48 v1.34.3, nfs: setting deadline of 7905 seconds
01/23/14 04:09:32 v1.34.3, nfs: completed 491 ranges of size 250 in 8083.9295 seconds
01/23/14 04:09:32 v1.34.3, nfs: best poly = # norm 2.545788e-12 alpha -6.114812 e 9.417e-11 rroots 3
01/23/14 04:09:32 v1.34.3, nfs: commencing lattice sieving with 6 threads
01/23/14 04:23:29 v1.34.3, nfs: commencing lattice sieving with 6 threads
[56 lines snipped]
01/23/14 18:42:26 v1.34.3, nfs: commencing lattice sieving with 6 threads
01/23/14 18:58:23 v1.34.3, nfs: commencing lattice sieving with 6 threads
01/23/14 19:15:00 v1.34.3, nfs: commencing msieve filtering
01/23/14 19:20:20 v1.34.3, nfs: commencing msieve linear algebra
01/23/14 20:10:54 v1.34.3, nfs: commencing msieve sqrt
01/23/14 20:15:38 v1.34.3, prp40 = 5048901301574428407757137745514405309873
01/23/14 20:15:38 v1.34.3, prp89 = 48774616863993271394838796880364615604226675129398724028668055939987710855524073389515631
01/23/14 20:15:38 v1.34.3, NFS elapsed time = 66050.2869 seconds.
01/23/14 20:15:38 v1.34.3, 
01/23/14 20:15:38 v1.34.3, 
01/23/14 20:15:38 v1.34.3, Total factoring time = 66050.3136 seconds
--
Thu Jan 23 19:15:00 2014  
Thu Jan 23 19:15:00 2014  commencing relation filtering
Thu Jan 23 19:15:00 2014  estimated available RAM is 15988.7 MB
Thu Jan 23 19:15:00 2014  commencing duplicate removal, pass 1
Thu Jan 23 19:16:28 2014  found 2815031 hash collisions in 21261612 relations
Thu Jan 23 19:16:49 2014  added 120970 free relations
Thu Jan 23 19:16:49 2014  commencing duplicate removal, pass 2
Thu Jan 23 19:17:13 2014  found 1796460 duplicates and 19586122 unique relations
Thu Jan 23 19:17:13 2014  memory use: 82.6 MB
Thu Jan 23 19:17:13 2014  reading ideals above 720000
Thu Jan 23 19:17:13 2014  commencing singleton removal, initial pass
Thu Jan 23 19:19:20 2014  memory use: 689.0 MB
Thu Jan 23 19:19:20 2014  reading all ideals from disk
Thu Jan 23 19:19:20 2014  memory use: 599.1 MB
Thu Jan 23 19:19:21 2014  keeping 21105482 ideals with weight <= 200, target excess is 121581
Thu Jan 23 19:19:22 2014  commencing in-memory singleton removal
Thu Jan 23 19:19:23 2014  begin with 19586122 relations and 21105482 unique ideals
Thu Jan 23 19:19:31 2014  reduce to 7645448 relations and 7050313 ideals in 19 passes
Thu Jan 23 19:19:31 2014  max relations containing the same ideal: 107
Thu Jan 23 19:19:34 2014  removing 1582961 relations and 1355910 ideals in 227051 cliques
Thu Jan 23 19:19:34 2014  commencing in-memory singleton removal
Thu Jan 23 19:19:34 2014  begin with 6062487 relations and 7050313 unique ideals
Thu Jan 23 19:19:38 2014  reduce to 5790449 relations and 5411458 ideals in 11 passes
Thu Jan 23 19:19:38 2014  max relations containing the same ideal: 86
Thu Jan 23 19:19:39 2014  removing 1194625 relations and 967574 ideals in 227051 cliques
Thu Jan 23 19:19:40 2014  commencing in-memory singleton removal
Thu Jan 23 19:19:40 2014  begin with 4595824 relations and 5411458 unique ideals
Thu Jan 23 19:19:42 2014  reduce to 4387189 relations and 4226640 ideals in 10 passes
Thu Jan 23 19:19:42 2014  max relations containing the same ideal: 69
Thu Jan 23 19:19:44 2014  removing 171281 relations and 151766 ideals in 19515 cliques
Thu Jan 23 19:19:44 2014  commencing in-memory singleton removal
Thu Jan 23 19:19:44 2014  begin with 4215908 relations and 4226640 unique ideals
Thu Jan 23 19:19:47 2014  reduce to 4211474 relations and 4070417 ideals in 8 passes
Thu Jan 23 19:19:47 2014  max relations containing the same ideal: 68
Thu Jan 23 19:19:47 2014  relations with 0 large ideals: 493
Thu Jan 23 19:19:47 2014  relations with 1 large ideals: 1973
Thu Jan 23 19:19:47 2014  relations with 2 large ideals: 30712
Thu Jan 23 19:19:47 2014  relations with 3 large ideals: 189539
Thu Jan 23 19:19:47 2014  relations with 4 large ideals: 619123
Thu Jan 23 19:19:47 2014  relations with 5 large ideals: 1125357
Thu Jan 23 19:19:47 2014  relations with 6 large ideals: 1193983
Thu Jan 23 19:19:47 2014  relations with 7+ large ideals: 1050294
Thu Jan 23 19:19:47 2014  commencing 2-way merge
Thu Jan 23 19:19:49 2014  reduce to 2396346 relation sets and 2255289 unique ideals
Thu Jan 23 19:19:49 2014  commencing full merge
Thu Jan 23 19:20:11 2014  memory use: 266.6 MB
Thu Jan 23 19:20:11 2014  found 1224186 cycles, need 1205489
Thu Jan 23 19:20:11 2014  weight of 1205489 cycles is about 84484116 (70.08/cycle)
Thu Jan 23 19:20:11 2014  distribution of cycle lengths:
Thu Jan 23 19:20:11 2014  1 relations: 157430
Thu Jan 23 19:20:11 2014  2 relations: 138149
Thu Jan 23 19:20:11 2014  3 relations: 133658
Thu Jan 23 19:20:11 2014  4 relations: 120851
Thu Jan 23 19:20:11 2014  5 relations: 110838
Thu Jan 23 19:20:11 2014  6 relations: 95241
Thu Jan 23 19:20:11 2014  7 relations: 85225
Thu Jan 23 19:20:11 2014  8 relations: 74423
Thu Jan 23 19:20:11 2014  9 relations: 63320
Thu Jan 23 19:20:11 2014  10+ relations: 226354
Thu Jan 23 19:20:11 2014  heaviest cycle: 20 relations
Thu Jan 23 19:20:11 2014  commencing cycle optimization
Thu Jan 23 19:20:12 2014  start with 7029825 relations
Thu Jan 23 19:20:18 2014  pruned 141950 relations
Thu Jan 23 19:20:18 2014  memory use: 240.3 MB
Thu Jan 23 19:20:18 2014  distribution of cycle lengths:
Thu Jan 23 19:20:18 2014  1 relations: 157430
Thu Jan 23 19:20:18 2014  2 relations: 140859
Thu Jan 23 19:20:18 2014  3 relations: 137746
Thu Jan 23 19:20:18 2014  4 relations: 123235
Thu Jan 23 19:20:18 2014  5 relations: 112706
Thu Jan 23 19:20:18 2014  6 relations: 96437
Thu Jan 23 19:20:18 2014  7 relations: 86139
Thu Jan 23 19:20:18 2014  8 relations: 74569
Thu Jan 23 19:20:18 2014  9 relations: 63022
Thu Jan 23 19:20:18 2014  10+ relations: 213346
Thu Jan 23 19:20:18 2014  heaviest cycle: 20 relations
Thu Jan 23 19:20:20 2014  RelProcTime: 320
Thu Jan 23 19:20:20 2014  
Thu Jan 23 19:20:20 2014  commencing linear algebra
Thu Jan 23 19:20:20 2014  read 1205489 cycles
Thu Jan 23 19:20:21 2014  cycles contain 4087379 unique relations
Thu Jan 23 19:20:48 2014  read 4087379 relations
Thu Jan 23 19:20:52 2014  using 20 quadratic characters above 268435400
Thu Jan 23 19:21:09 2014  building initial matrix
Thu Jan 23 19:21:41 2014  memory use: 519.4 MB
Thu Jan 23 19:21:42 2014  read 1205489 cycles
Thu Jan 23 19:21:42 2014  matrix is 1205333 x 1205489 (362.3 MB) with weight 114570901 (95.04/col)
Thu Jan 23 19:21:42 2014  sparse part has weight 81704405 (67.78/col)
Thu Jan 23 19:21:49 2014  filtering completed in 2 passes
Thu Jan 23 19:21:50 2014  matrix is 1203706 x 1203881 (362.1 MB) with weight 114505655 (95.11/col)
Thu Jan 23 19:21:50 2014  sparse part has weight 81685405 (67.85/col)
Thu Jan 23 19:21:53 2014  matrix starts at (0, 0)
Thu Jan 23 19:21:53 2014  matrix is 1203706 x 1203881 (362.1 MB) with weight 114505655 (95.11/col)
Thu Jan 23 19:21:53 2014  sparse part has weight 81685405 (67.85/col)
Thu Jan 23 19:21:53 2014  saving the first 48 matrix rows for later
Thu Jan 23 19:21:53 2014  matrix includes 64 packed rows
Thu Jan 23 19:21:53 2014  matrix is 1203658 x 1203881 (349.7 MB) with weight 90762458 (75.39/col)
Thu Jan 23 19:21:53 2014  sparse part has weight 79624939 (66.14/col)
Thu Jan 23 19:21:53 2014  using block size 65536 for processor cache size 8192 kB
Thu Jan 23 19:21:57 2014  commencing Lanczos iteration (6 threads)
Thu Jan 23 19:21:57 2014  memory use: 319.5 MB
Thu Jan 23 19:22:01 2014  linear algebra at 0.1%, ETA 0h52m
Thu Jan 23 19:22:02 2014  checkpointing every 1460000 dimensions
Thu Jan 23 20:10:53 2014  lanczos halted after 19035 iterations (dim = 1203656)
Thu Jan 23 20:10:54 2014  recovered 31 nontrivial dependencies
Thu Jan 23 20:10:54 2014  BLanczosTime: 3034
Thu Jan 23 20:10:54 2014  
Thu Jan 23 20:10:54 2014  commencing square root phase
Thu Jan 23 20:10:54 2014  reading relations for dependency 1
Thu Jan 23 20:10:54 2014  read 602159 cycles
Thu Jan 23 20:10:55 2014  cycles contain 2042722 unique relations
Thu Jan 23 20:11:18 2014  read 2042722 relations
Thu Jan 23 20:11:26 2014  multiplying 2042722 relations
Thu Jan 23 20:13:15 2014  multiply complete, coefficients have about 83.78 million bits
Thu Jan 23 20:13:16 2014  initial square root is modulo 1031623
Thu Jan 23 20:15:38 2014  sqrtTime: 284
--
n: 246258226568409693504795780251336326293249938456990170636071599919602432033275245753534202719155879830729975403337076593932124863
skew: 1339150.61
c0: -220007889548679266379358334981184
c1: 874264079257183790309072896
c2: -714730914507989958096
c3: -1981785937893339
c4: 623761688
c5: 360
Y0: -14689856438587901253158275
Y1: 9549440876363
rlim: 8600000
alim: 8600000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62090 / 2318290CypJanuary 5, 2014 10:00:01 UTC 2014 年 1 月 5 日 (日) 19 時 0 分 1 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:12:31 UTC 2014 年 1 月 9 日 (木) 14 時 12 分 31 秒 (日本時間)
1500Dmitry DomanovJanuary 13, 2014 13:44:37 UTC 2014 年 1 月 13 日 (月) 22 時 44 分 37 秒 (日本時間)

88×10211-619

c209

name 名前Serge Batalov
date 日付December 4, 2013 05:16:39 UTC 2013 年 12 月 4 日 (水) 14 時 16 分 39 秒 (日本時間)
composite number 合成数
56551635499003920056551635499003920056551635499003920056551635499003920056551635499003920056551635499003920056551635499003920056551635499003920056551635499003920056551635499003920056551635499003920056551635499<209>
prime factors 素因数
119331685204144643102545362045127<33>
composite cofactor 合成数の残り
473902932002168369094253138451500303121998831320534054174698345538654907908142697198101137852433264251809754084951448024918685456488874599639074083436066271943991479317553645437<177>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=899448567
Step 1 took 67860ms
Step 2 took 35138ms
********** Factor found in step 2: 119331685204144643102545362045127
Found probable prime factor of 33 digits: 119331685204144643102545362045127
Composite cofactor 

c177

name 名前ebina
date 日付August 14, 2022 22:12:49 UTC 2022 年 8 月 15 日 (月) 7 時 12 分 49 秒 (日本時間)
composite number 合成数
473902932002168369094253138451500303121998831320534054174698345538654907908142697198101137852433264251809754084951448024918685456488874599639074083436066271943991479317553645437<177>
prime factors 素因数
16615247350268536392107083611839116537896991<44>
3990545746115866752863033906904317847100495561<46>
7147436257580152362247890726069074792199833841488757676543084006249876594562476626675787<88>
factorization results 素因数分解の結果
Z:\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:307021238 11e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 473902932002168369094253138451500303121998831320534054174698345538654907908142697198101137852433264251809754084951448024918685456488874599639074083436066271943991479317553645437 (177 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:307021238
Step 1 took 31953ms
Step 2 took 19922ms
********** Factor found in step 2: 16615247350268536392107083611839116537896991
Found probable prime factor of 44 digits: 16615247350268536392107083611839116537896991
Composite cofactor 28522171353320787493661498805995563401458256846034874114624823485075358711283974445181588280453451274776171874808618105017759779681507 has 134 digits

Number: 97771_211
N = 28522171353320787493661498805995563401458256846034874114624823485075358711283974445181588280453451274776171874808618105017759779681507 (134 digits)
Divisors found:
r1=3990545746115866752863033906904317847100495561 (pp46)
r2=7147436257580152362247890726069074792199833841488757676543084006249876594562476626675787 (pp88)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 38.89 hours.
Factorization parameters were as follows:
n: 28522171353320787493661498805995563401458256846034874114624823485075358711283974445181588280453451274776171874808618105017759779681507
# norm 7.947535e-13 alpha -6.590212 e 4.887e-11 rroots 3
skew: 2544926.68
c0: -3631500481560337995459199732445865
c1: -19002805753496281546508350715
c2: 5702956764900726045125
c3: 8054815928787171
c4: -614310652
c5: 120
Y0: -188451874542241998315382454
Y1: 82236028418087
type: gnfs
Factor base limits: 8900000/8900000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 21491081
Relations: 2875854 relations
Pruned matrix : 1672339 x 1672570
Polynomial selection time: 0.22 hours.
Total sieving time: 36.46 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 1.94 hours.
time per square root: 0.09 hours.
Prototype def-par.txt line would be: gnfs,133,5,65,2000,1e-05,0.28,250,20,50000,3600,8900000,8900000,28,28,55,55,2.5,2.5,100000
total time: 38.89 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
processors: 2, speed: 2.99GHz
Windows-7-6.1.7601-SP1
Running Python 3.2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62010210Serge BatalovDecember 4, 2013 17:31:58 UTC 2013 年 12 月 5 日 (木) 2 時 31 分 58 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:12:32 UTC 2014 年 1 月 9 日 (木) 14 時 12 分 32 秒 (日本時間)
1500Dmitry DomanovJanuary 13, 2014 13:44:50 UTC 2014 年 1 月 13 日 (月) 22 時 44 分 50 秒 (日本時間)
4511e6360 / 374360Serge BatalovDecember 4, 2013 17:31:58 UTC 2013 年 12 月 5 日 (木) 2 時 31 分 58 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:37:17 UTC 2014 年 5 月 27 日 (火) 9 時 37 分 17 秒 (日本時間)
5043e682 / 7396CypFebruary 12, 2014 06:04:55 UTC 2014 年 2 月 12 日 (水) 15 時 4 分 55 秒 (日本時間)

88×10212-619

c136

name 名前Erik Branger
date 日付January 13, 2015 07:03:20 UTC 2015 年 1 月 13 日 (火) 16 時 3 分 20 秒 (日本時間)
composite number 合成数
4733885803043539402488229259671390439685643628032156118459160254801993382632804091348948250826261721862074049135824640138337739374218621<136>
prime factors 素因数
1390735394799312431785195561375974758511031356641<49>
3403872383449803744756421274342131242226290156672556083351855310150721254135012915402781<88>
factorization results 素因数分解の結果
Number: 97771_212
N = 4733885803043539402488229259671390439685643628032156118459160254801993382632804091348948250826261721862074049135824640138337739374218621 (136 digits)
Divisors found:
r1=1390735394799312431785195561375974758511031356641 (pp49)
r2=3403872383449803744756421274342131242226290156672556083351855310150721254135012915402781 (pp88)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 91.57 hours.
Factorization parameters were as follows:
# Murphy_E = 3.804e-11, selected by Erik Branger
# expecting poly E from 3.76e-011 to > 4.32e-011
n: 4733885803043539402488229259671390439685643628032156118459160254801993382632804091348948250826261721862074049135824640138337739374218621
Y0: -206523515226297628980525063
Y1: 23205375640927
c0: -13982875731447947167704788400585224
c1: 49226954680477987785927288482
c2: 140473040635221546988811
c3: -79356375863464718
c4: -80231810940
c5: 12600
skew: 1339742.16
type: gnfs
# selected mechanically
rlim: 13900000
alim: 13900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 13900000/13900000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 22241209
Relations: 3365146 relations
Pruned matrix : 2002639 x 2002867
Polynomial selection time: 0.00 hours.
Total sieving time: 88.85 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 2.52 hours.
time per square root: 0.09 hours.
Prototype def-par.txt line would be: gnfs,135,5,65,2000,1e-05,0.28,250,20,50000,3600,13900000,13900000,28,28,55,55,2.6,2.6,100000
total time: 91.57 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
300Ignacio SantosDecember 4, 2013 13:56:59 UTC 2013 年 12 月 4 日 (水) 22 時 56 分 59 秒 (日本時間)
403e6320110Ignacio SantosDecember 4, 2013 13:56:59 UTC 2013 年 12 月 4 日 (水) 22 時 56 分 59 秒 (日本時間)
210Serge BatalovDecember 4, 2013 17:31:29 UTC 2013 年 12 月 5 日 (木) 2 時 31 分 29 秒 (日本時間)
4511e63062 / 439032Ignacio SantosDecember 4, 2013 13:56:59 UTC 2013 年 12 月 4 日 (水) 22 時 56 分 59 秒 (日本時間)
60Serge BatalovDecember 4, 2013 17:31:29 UTC 2013 年 12 月 5 日 (木) 2 時 31 分 29 秒 (日本時間)
230Ignacio SantosDecember 22, 2013 16:18:13 UTC 2013 年 12 月 23 日 (月) 1 時 18 分 13 秒 (日本時間)
240Ignacio SantosDecember 24, 2013 17:44:23 UTC 2013 年 12 月 25 日 (水) 2 時 44 分 23 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:23:02 UTC 2014 年 1 月 6 日 (月) 11 時 23 分 2 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:35:05 UTC 2014 年 5 月 25 日 (日) 2 時 35 分 5 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:37:17 UTC 2014 年 5 月 27 日 (火) 9 時 37 分 17 秒 (日本時間)

88×10217-619

c213

name 名前Serge Batalov
date 日付May 24, 2014 17:21:39 UTC 2014 年 5 月 25 日 (日) 2 時 21 分 39 秒 (日本時間)
composite number 合成数
840094663394116091535950801001621955492166594590363159557842904207251353459328439781919062607100136419917498885442591462919844467928908898416326094199432745171603654793646975038687313902325630238061825239307647439<213>
prime factors 素因数
63839346286832177793373155914510387421159773<44>
13159512311099561023769865002320855220538391531373927805243583610542580088703372605319037489005231520701195414974901178825177436286445274628337862141671106959574567516443<170>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=3679576119
Step 1 took 77159ms
Step 2 took 37212ms
********** Factor found in step 2: 63839346286832177793373155914510387421159773
Found probable prime factor of 44 digits: 63839346286832177793373155914510387421159773
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e6210Serge BatalovDecember 4, 2013 17:32:02 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 2 秒 (日本時間)
4511e62360 / 267560Serge BatalovDecember 4, 2013 17:32:02 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 2 秒 (日本時間)
500Serge BatalovJanuary 4, 2014 22:39:27 UTC 2014 年 1 月 5 日 (日) 7 時 39 分 27 秒 (日本時間)
1800Serge BatalovMay 24, 2014 09:17:26 UTC 2014 年 5 月 24 日 (土) 18 時 17 分 26 秒 (日本時間)
5043e6500 / 7015Serge BatalovJanuary 4, 2014 23:01:24 UTC 2014 年 1 月 5 日 (日) 8 時 1 分 24 秒 (日本時間)

88×10218-619

c147

name 名前Serge Batalov
date 日付December 4, 2013 05:01:24 UTC 2013 年 12 月 4 日 (水) 14 時 1 分 24 秒 (日本時間)
composite number 合成数
421847382797699388488101498199226008240556628775443704901741372574295040247703921721919327277436055486481274375101074584778654679592388870071419289<147>
prime factors 素因数
107614836489762328473348325641986880994327<42>
composite cofactor 合成数の残り
3919974202050019346185951774028593150572192347343172210932182987397688944364566049946183671291911636717007<106>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=370235269
Step 1 took 37590ms
Step 2 took 23978ms
********** Factor found in step 2: 107614836489762328473348325641986880994327
Found probable prime factor of 42 digits: 107614836489762328473348325641986880994327
Composite cofactor 

c106

name 名前Serge Batalov
date 日付December 4, 2013 17:26:33 UTC 2013 年 12 月 5 日 (木) 2 時 26 分 33 秒 (日本時間)
composite number 合成数
3919974202050019346185951774028593150572192347343172210932182987397688944364566049946183671291911636717007<106>
prime factors 素因数
3903814925651300921288464951422374330576616219717949<52>
1004139355145280730509483703339480399063721630196814843<55>
factorization results 素因数分解の結果
Divisors found:
 r1=3903814925651300921288464951422374330576616219717949 (pp52)
 r2=1004139355145280730509483703339480399063721630196814843 (pp55)
Version: Msieve v. 1.51 (SVN 719M)
Total time: 4.72 hours.
Scaled time: 11.34 units (timescale=2.400).
Factorization parameters were as follows:
name: test
type: gnfs
n:  3919974202050019346185951774028593150572192347343172210932182987397688944364566049946183671291911636717007
skew:  24349062.35
Y0:  -59536323429870455363157591
Y1:  38786010038825
c0:  -21216152814181631270851312193600
c1:  4852488936411914633249828
c2:  -102520219031862955
c3:  625253434
c4:  312
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)
Pruned matrix : 379004 x 379233
Total sieving time: 4.52 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.09 hours.
total time: 4.72 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)

88×10219-619

c164

name 名前Erik Branger
date 日付October 5, 2020 15:42:24 UTC 2020 年 10 月 6 日 (火) 0 時 42 分 24 秒 (日本時間)
composite number 合成数
94245206538728397043397148642832495001977063713552854457742683883122274232613159790197235131035378610910715155796594167695044359947106210402773438404207603828037539<164>
prime factors 素因数
3538182846338914192803330468914668984357698685439414918121742827134625401<73>
26636612812774026691140933039002640988641930508635967467495945087331538269783165705010386939<92>
factorization results 素因数分解の結果
Number: 97771_219
N = 94245206538728397043397148642832495001977063713552854457742683883122274232613159790197235131035378610910715155796594167695044359947106210402773438404207603828037539 (164 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=3538182846338914192803330468914668984357698685439414918121742827134625401 (pp73)
r2=26636612812774026691140933039002640988641930508635967467495945087331538269783165705010386939 (pp92)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 65.91 hours.
Factorization parameters were as follows:
n: 94245206538728397043397148642832495001977063713552854457742683883122274232613159790197235131035378610910715155796594167695044359947106210402773438404207603828037539
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 44
c0: -305
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 7552346 relations
Pruned matrix : 6479760 x 6479985
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 33.18 hours.
Total relation processing time: 0.34 hours.
Matrix solve time: 31.83 hours.
time per square root: 0.56 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 65.91 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e63390290CypJanuary 2, 2014 11:53:31 UTC 2014 年 1 月 2 日 (木) 20 時 53 分 31 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:12:32 UTC 2014 年 1 月 9 日 (木) 14 時 12 分 32 秒 (日本時間)
1500Dmitry DomanovJanuary 13, 2014 13:45:15 UTC 2014 年 1 月 13 日 (月) 22 時 45 分 15 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:08:22 UTC 2014 年 5 月 27 日 (火) 3 時 8 分 22 秒 (日本時間)
4511e64096iveliveAugust 17, 2020 03:34:34 UTC 2020 年 8 月 17 日 (月) 12 時 34 分 34 秒 (日本時間)

88×10220-619

c194

name 名前Erik Branger
date 日付February 20, 2019 16:13:47 UTC 2019 年 2 月 21 日 (木) 1 時 13 分 47 秒 (日本時間)
composite number 合成数
46890464187584874814328727719565751782736514830595964661442606887600282006539794420723583012881466280638236730302946677867508064709484296864482976911090079384191910043861921453119895179796204439<194>
prime factors 素因数
2974960111234752039770277633112477813414858141<46>
15761711900104458508320398664845628274085010083493106950086287428333006682600203198288712470123985166002075396327995479420027752031353228317923709379<149>
factorization results 素因数分解の結果
Number: 97771_220
N = 46890464187584874814328727719565751782736514830595964661442606887600282006539794420723583012881466280638236730302946677867508064709484296864482976911090079384191910043861921453119895179796204439 (194 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=2974960111234752039770277633112477813414858141 (pp46)
r2=15761711900104458508320398664845628274085010083493106950086287428333006682600203198288712470123985166002075396327995479420027752031353228317923709379 (pp149)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 91.04 hours.
Factorization parameters were as follows:
n: 46890464187584874814328727719565751782736514830595964661442606887600282006539794420723583012881466280638236730302946677867508064709484296864482976911090079384191910043861921453119895179796204439
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 88
c0: -61
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/28
Relations: 8479720 relations
Pruned matrix : 7328587 x 7328812
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 40.14 hours.
Total relation processing time: 0.42 hours.
Matrix solve time: 50.21 hours.
time per square root: 0.26 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000
total time: 91.04 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:27:47 UTC 2014 年 1 月 7 日 (火) 5 時 27 分 47 秒 (日本時間)
403e63300300Serge BatalovJanuary 9, 2014 05:12:33 UTC 2014 年 1 月 9 日 (木) 14 時 12 分 33 秒 (日本時間)
1500Dmitry DomanovJanuary 10, 2014 12:24:35 UTC 2014 年 1 月 10 日 (金) 21 時 24 分 35 秒 (日本時間)
1500Dmitry DomanovJanuary 10, 2014 12:24:48 UTC 2014 年 1 月 10 日 (金) 21 時 24 分 48 秒 (日本時間)
4511e6300 / 3709Serge BatalovMay 27, 2014 00:37:18 UTC 2014 年 5 月 27 日 (火) 9 時 37 分 18 秒 (日本時間)

88×10221-619

c201

name 名前Erik Branger
date 日付June 16, 2020 08:27:54 UTC 2020 年 6 月 16 日 (火) 17 時 27 分 54 秒 (日本時間)
composite number 合成数
488081119374095485587131072890203362098654267212099864035214678738770090779097611770754846476274313857215873306458177963339890969661063649494294580523659949591689623867817216018911361368260857357861401<201>
prime factors 素因数
35084761315246340638437278296496730194610196958727979414804669<62>
162674802453420597580210676491154824410782092200419489630630057<63>
85517145037242257802369817022700623814496325932523846993196082877604645430597<77>
factorization results 素因数分解の結果
Number: 97771_221
N = 488081119374095485587131072890203362098654267212099864035214678738770090779097611770754846476274313857215873306458177963339890969661063649494294580523659949591689623867817216018911361368260857357861401 (201 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=35084761315246340638437278296496730194610196958727979414804669 (pp62)
r2=162674802453420597580210676491154824410782092200419489630630057 (pp63)
r3=85517145037242257802369817022700623814496325932523846993196082877604645430597 (pp77)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 87.17 hours.
Factorization parameters were as follows:
n: 488081119374095485587131072890203362098654267212099864035214678738770090779097611770754846476274313857215873306458177963339890969661063649494294580523659949591689623867817216018911361368260857357861401
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 880
c0: -61
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 8259850 relations
Pruned matrix : 7212399 x 7212623
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 45.95 hours.
Total relation processing time: 0.41 hours.
Matrix solve time: 40.30 hours.
time per square root: 0.51 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 87.17 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 6, 2014 19:59:45 UTC 2014 年 1 月 7 日 (火) 4 時 59 分 45 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:12:34 UTC 2014 年 1 月 9 日 (木) 14 時 12 分 34 秒 (日本時間)
1500Dmitry DomanovJanuary 10, 2014 12:25:24 UTC 2014 年 1 月 10 日 (金) 21 時 25 分 24 秒 (日本時間)
4511e6367 / 401367CypMarch 6, 2014 11:26:21 UTC 2014 年 3 月 6 日 (木) 20 時 26 分 21 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:37:18 UTC 2014 年 5 月 27 日 (火) 9 時 37 分 18 秒 (日本時間)

88×10222-619

c210

name 名前Bob Backstrom
date 日付May 9, 2020 21:12:05 UTC 2020 年 5 月 10 日 (日) 6 時 12 分 5 秒 (日本時間)
composite number 合成数
556297799009562640745880871326515864419739883463647582607543600170753570986717979068773029080183278476732812975301008506515960357070941110866472221198551442147059093398766952042946969124644862254132791720216873<210>
prime factors 素因数
12246195516925764096315391270980895379003<41>
45426173234021125074190011773712821553714001549865660908746454407181168928621781370801878380012485290279276562631430939243982604724999527755297572130782016081883351309291<170>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 6.1.2] [ECM]
Input number is 556297799009562640745880871326515864419739883463647582607543600170753570986717979068773029080183278476732812975301008506515960357070941110866472221198551442147059093398766952042946969124644862254132791720216873 (210 digits)
Using B1=400020000, B2=4767896883766, polynomial Dickson(30), sigma=1618703670
Step 1 took 2246802ms
Step 2 took 437860ms
********** Factor found in step 2: 12246195516925764096315391270980895379003
Found probable prime factor of 41 digits: 12246195516925764096315391270980895379003
Probable prime cofactor 45426173234021125074190011773712821553714001549865660908746454407181168928621781370801878380012485290279276562631430939243982604724999527755297572130782016081883351309291 has 170 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e63390290CypJanuary 2, 2014 08:54:51 UTC 2014 年 1 月 2 日 (木) 17 時 54 分 51 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:12:35 UTC 2014 年 1 月 9 日 (木) 14 時 12 分 35 秒 (日本時間)
1500Dmitry DomanovJanuary 10, 2014 12:25:36 UTC 2014 年 1 月 10 日 (金) 21 時 25 分 36 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:08:23 UTC 2014 年 5 月 27 日 (火) 3 時 8 分 23 秒 (日本時間)

88×10224-619

c171

composite cofactor 合成数の残り
357855650792389591885319677079749069143230652914476693365473671204146155117956790548682758200575007697299291001777297944177531422445032252837336813614576697165394322427033<171>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e63390290CypDecember 31, 2013 20:30:10 UTC 2014 年 1 月 1 日 (水) 5 時 30 分 10 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:12:36 UTC 2014 年 1 月 9 日 (木) 14 時 12 分 36 秒 (日本時間)
1500Dmitry DomanovJanuary 13, 2014 13:45:52 UTC 2014 年 1 月 13 日 (月) 22 時 45 分 52 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:08:23 UTC 2014 年 5 月 27 日 (火) 3 時 8 分 23 秒 (日本時間)
4511e64096iveliveAugust 20, 2020 04:33:15 UTC 2020 年 8 月 20 日 (木) 13 時 33 分 15 秒 (日本時間)

88×10225-619

c155

name 名前Ignacio Santos
date 日付December 26, 2013 22:01:30 UTC 2013 年 12 月 27 日 (金) 7 時 1 分 30 秒 (日本時間)
composite number 合成数
14841959206320903126526993587033530776264987863606910596716679335418621245117858654479364009993251575861958521360483960440888640709910993984309037133612973<155>
prime factors 素因数
10304309255564738402979051970199610350879<41>
composite cofactor 合成数の残り
1440364301790112964833178227859909398542776615057865024069218990230264694045761414605127921161716820091387222193587<115>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3475704432
Step 1 took 39781ms
Step 2 took 21313ms
********** Factor found in step 2: 10304309255564738402979051970199610350879
Found probable prime factor of 41 digits: 10304309255564738402979051970199610350879
Composite cofactor 1440364301790112964833178227859909398542776615057865024069218990230264694045761414605127921161716820091387222193587 has 115 digits
software ソフトウェア
GMP-ECM 7.0

c115

name 名前Cyp
date 日付December 27, 2013 20:53:29 UTC 2013 年 12 月 28 日 (土) 5 時 53 分 29 秒 (日本時間)
composite number 合成数
1440364301790112964833178227859909398542776615057865024069218990230264694045761414605127921161716820091387222193587<115>
prime factors 素因数
2203869994960865966015925735327106924157777<43>
653561373893875921592107993242415394865015062438999157465411659427182531<72>
factorization results 素因数分解の結果
12/27/13 18:29:58 v1.34.3, 
12/27/13 18:29:58 v1.34.3, ****************************
12/27/13 18:29:58 v1.34.3, Starting factorization of 1440364301790112964833178227859909398542776615057865024069218990230264694045761414605127921161716820091387222193587
12/27/13 18:29:58 v1.34.3, using pretesting plan: normal
12/27/13 18:29:58 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/27/13 18:29:58 v1.34.3, input indicated to have been pretested to t35.00
12/27/13 18:29:58 v1.34.3, ****************************
12/27/13 18:29:58 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C115
12/27/13 18:29:58 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C115
12/27/13 18:29:58 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C115
12/27/13 18:29:58 v1.34.3, final ECM pretested depth: 35.52
12/27/13 18:29:58 v1.34.3, scheduler: switching to sieve method
12/27/13 18:29:58 v1.34.3, nfs: commencing nfs on c115: 1440364301790112964833178227859909398542776615057865024069218990230264694045761414605127921161716820091387222193587
12/27/13 18:29:58 v1.34.3, nfs: commencing poly selection with 8 threads
12/27/13 18:29:58 v1.34.3, nfs: setting deadline of 825 seconds
12/27/13 18:43:54 v1.34.3, nfs: completed 120 ranges of size 250 in 835.5149 seconds
12/27/13 18:43:54 v1.34.3, nfs: best poly = # norm 6.541484e-11 alpha -5.663598 e 5.584e-10 rroots 3
12/27/13 18:43:54 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/27/13 18:50:41 v1.34.3, nfs: commencing lattice sieving with 8 threads
[21 lines omitted]
12/27/13 21:16:23 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/27/13 21:23:03 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/27/13 21:29:34 v1.34.3, nfs: commencing msieve filtering
12/27/13 21:32:47 v1.34.3, nfs: commencing msieve linear algebra
12/27/13 21:45:54 v1.34.3, nfs: commencing msieve sqrt
12/27/13 21:48:21 v1.34.3, prp72 = 653561373893875921592107993242415394865015062438999157465411659427182531
12/27/13 21:48:21 v1.34.3, prp43 = 2203869994960865966015925735327106924157777
12/27/13 21:48:21 v1.34.3, NFS elapsed time = 11903.2050 seconds.
12/27/13 21:48:21 v1.34.3, 
12/27/13 21:48:21 v1.34.3, 
12/27/13 21:48:21 v1.34.3, Total factoring time = 11903.2467 seconds
software ソフトウェア
yafu 1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e6210 / 2111Serge BatalovDecember 4, 2013 17:31:43 UTC 2013 年 12 月 5 日 (木) 2 時 31 分 43 秒 (日本時間)
4511e660 / 4429Serge BatalovDecember 4, 2013 17:31:43 UTC 2013 年 12 月 5 日 (木) 2 時 31 分 43 秒 (日本時間)

88×10227-619

c185

composite cofactor 合成数の残り
34977112679130236232583117028700375255738395356603937694256419371932613164564718856972749492076952785037298617398726767772140483435428811055717431076007845445083064648142411622967715479<185>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e63390290CypJanuary 6, 2014 08:08:07 UTC 2014 年 1 月 6 日 (月) 17 時 8 分 7 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:12:36 UTC 2014 年 1 月 9 日 (木) 14 時 12 分 36 秒 (日本時間)
1500Dmitry DomanovJanuary 10, 2014 12:25:56 UTC 2014 年 1 月 10 日 (金) 21 時 25 分 56 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:08:24 UTC 2014 年 5 月 27 日 (火) 3 時 8 分 24 秒 (日本時間)
4511e64096iveliveAugust 15, 2020 15:00:02 UTC 2020 年 8 月 16 日 (日) 0 時 0 分 2 秒 (日本時間)

88×10228-619

c228

name 名前Bob Backstrom
date 日付November 4, 2018 17:33:55 UTC 2018 年 11 月 5 日 (月) 2 時 33 分 55 秒 (日本時間)
composite number 合成数
141706924315619967793880837359098228663446054750402576489533011272141706924315619967793880837359098228663446054750402576489533011272141706924315619967793880837359098228663446054750402576489533011272141706924315619967793880837359<228>
prime factors 素因数
235780760155552769553788063145653508084434566278224958024229606938462515447807439053700722854280363267<102>
601011398140081405623583479519197172411968113166404846989085839903350149930169997845640422584657991939527294458230248128077477<126>
factorization results 素因数分解の結果
Number: n
N=141706924315619967793880837359098228663446054750402576489533011272141706924315619967793880837359098228663446054750402576489533011272141706924315619967793880837359098228663446054750402576489533011272141706924315619967793880837359
  ( 228 digits)
SNFS difficulty: 229 digits.
Divisors found:

Mon Nov  5 04:29:13 2018  p102 factor: 235780760155552769553788063145653508084434566278224958024229606938462515447807439053700722854280363267
Mon Nov  5 04:29:13 2018  p126 factor: 601011398140081405623583479519197172411968113166404846989085839903350149930169997845640422584657991939527294458230248128077477
Mon Nov  5 04:29:13 2018  elapsed time 24:01:41 (Msieve 1.54 - dependency 3)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.120).
Factorization parameters were as follows:
#
# N = 88x10^228-61 = 97(227)1
#
n: 141706924315619967793880837359098228663446054750402576489533011272141706924315619967793880837359098228663446054750402576489533011272141706924315619967793880837359098228663446054750402576489533011272141706924315619967793880837359
m: 100000000000000000000000000000000000000
deg: 6
c6: 88
c0: -61
skew: 0.94
# Murphy_E = 9.101e-13
type: snfs
lss: 1
rlim: 48000000
alim: 48000000
lpbr: 30
lpba: 30
mfbr: 59
mfba: 59
rlambda: 2.7
alambda: 2.7
Factor base limits: 48000000/48000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 59/59
Sieved  special-q in [100000, 100000000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 20498810 hash collisions in 112277867 relations (94025020 unique)
Msieve: matrix is 6763238 x 6763463 (2361.8 MB)

Sieving start time: 2018/11/01 23:57:17
Sieving end time  : 2018/11/04 04:24:06

Total sieving time: 52hrs 26min 49secs.

Total relation processing time: 22hrs 36min 32sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 45min 22sec.

Prototype def-par.txt line would be:
snfs,229,6,0,0,0,0,0,0,0,0,48000000,48000000,30,30,59,59,2.7,2.7,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.044000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16285120K/16703460K available (12300K kernel code, 2472K rwdata, 4248K rodata, 2408K init, 2416K bss, 418340K reserved, 0K cma-reserved)
[    0.076570] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5989.19 BogoMIPS (lpj=11978392)
[    0.074211] smpboot: Total of 16 processors activated (95827.13 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e6210Serge BatalovDecember 4, 2013 17:32:21 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 21 秒 (日本時間)
4511e6267560Serge BatalovDecember 4, 2013 17:32:21 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 21 秒 (日本時間)
500Serge BatalovJanuary 4, 2014 22:39:38 UTC 2014 年 1 月 5 日 (日) 7 時 39 分 38 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:25:55 UTC 2014 年 2 月 24 日 (月) 4 時 25 分 55 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:55 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 55 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:37:19 UTC 2014 年 5 月 27 日 (火) 9 時 37 分 19 秒 (日本時間)
115KTakahashiAugust 18, 2014 22:41:07 UTC 2014 年 8 月 19 日 (火) 7 時 41 分 7 秒 (日本時間)
5043e6500 / 6944Serge BatalovJanuary 4, 2014 23:01:34 UTC 2014 年 1 月 5 日 (日) 8 時 1 分 34 秒 (日本時間)

88×10229-619

c227

name 名前Bob Backstrom
date 日付November 17, 2018 00:26:26 UTC 2018 年 11 月 17 日 (土) 9 時 26 分 26 秒 (日本時間)
composite number 合成数
56551635499003920056551635499003920056551635499003920056551635499003920056551635499003920056551635499003920056551635499003920056551635499003920056551635499003920056551635499003920056551635499003920056551635499003920056551635499<227>
prime factors 素因数
10895880429105495318021426639799555238260315959001<50>
5190185030659937672132848017258385010463624832927647017861562769790323005568566464360204672956714948144291601766233676179571579782426241862119888446992493473154381196880742094499<178>
factorization results 素因数分解の結果
Number: n
N=56551635499003920056551635499003920056551635499003920056551635499003920056551635499003920056551635499003920056551635499003920056551635499003920056551635499003920056551635499003920056551635499003920056551635499003920056551635499
  ( 227 digits)
SNFS difficulty: 230 digits.
Divisors found:

Sat Nov 17 11:22:03 2018  p50 factor: 10895880429105495318021426639799555238260315959001
Sat Nov 17 11:22:03 2018  p178 factor: 5190185030659937672132848017258385010463624832927647017861562769790323005568566464360204672956714948144291601766233676179571579782426241862119888446992493473154381196880
742094499
Sat Nov 17 11:22:03 2018  elapsed time 14:47:53 (Msieve 1.54 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.123).
Factorization parameters were as follows:
#
# N = 88x10^229-61 = 97(228)1
#
n: 56551635499003920056551635499003920056551635499003920056551635499003920056551635499003920056551635499003920056551635499003920056551635499003920056551635499003920056551635499003920056551635499003920056551635499003920056551635499
m: 100000000000000000000000000000000000000
deg: 6
c6: 880
c0: -61
skew: 0.64
# Murphy_E = 1.543e-12
type: snfs
lss: 1
rlim: 49000000
alim: 49000000
lpbr: 30
lpba: 30
mfbr: 59
mfba: 59
rlambda: 2.7
alambda: 2.7
Factor base limits: 49000000/49000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 59/59
Sieved  special-q in [100000, 50100000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 15289338 hash collisions in 105184750 relations (93255534 unique)
Msieve: matrix is 5460946 x 5461171 (1944.0 MB)

Sieving start time: 2018/11/15 23:47:40
Sieving end time  : 2018/11/16 20:26:05

Total sieving time: 20hrs 38min 25secs.

Total relation processing time: 13hrs 36min 14sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 27min 29sec.

Prototype def-par.txt line would be:
snfs,230,6,0,0,0,0,0,0,0,0,49000000,49000000,30,30,59,59,2.7,2.7,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.044000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16285108K/16703460K available (12300K kernel code, 2472K rwdata, 4248K rodata, 2408K init, 2416K bss, 418352K reserved, 0K cma-reserved)
[    0.076577] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.57 BogoMIPS (lpj=11977156)
[    0.074209] smpboot: Total of 16 processors activated (95817.24 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e6210Serge BatalovDecember 4, 2013 17:32:22 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 22 秒 (日本時間)
4511e6267560Serge BatalovDecember 4, 2013 17:32:22 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 22 秒 (日本時間)
500Serge BatalovJanuary 4, 2014 22:39:39 UTC 2014 年 1 月 5 日 (日) 7 時 39 分 39 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:25:55 UTC 2014 年 2 月 24 日 (月) 4 時 25 分 55 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:57 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 57 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:37:19 UTC 2014 年 5 月 27 日 (火) 9 時 37 分 19 秒 (日本時間)
115KTakahashiAugust 18, 2014 22:41:18 UTC 2014 年 8 月 19 日 (火) 7 時 41 分 18 秒 (日本時間)
5043e6500 / 6944Serge BatalovJanuary 4, 2014 23:01:35 UTC 2014 年 1 月 5 日 (日) 8 時 1 分 35 秒 (日本時間)

88×10231-619

c169

composite cofactor 合成数の残り
1644220425726812778015485317687667392163709326317647495419505326477411134575553315129769463511645315369591285122461050029414030962855779399401664012041015344538644029837<169>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e6315050CypJanuary 4, 2014 07:39:48 UTC 2014 年 1 月 4 日 (土) 16 時 39 分 48 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:12:37 UTC 2014 年 1 月 9 日 (木) 14 時 12 分 37 秒 (日本時間)
1500Dmitry DomanovJanuary 10, 2014 12:22:51 UTC 2014 年 1 月 10 日 (金) 21 時 22 分 51 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:08:24 UTC 2014 年 5 月 27 日 (火) 3 時 8 分 24 秒 (日本時間)
4511e691CypDecember 27, 2013 21:21:34 UTC 2013 年 12 月 28 日 (土) 6 時 21 分 34 秒 (日本時間)
5043e61296 / 7413iveliveAugust 22, 2020 05:13:40 UTC 2020 年 8 月 22 日 (土) 14 時 13 分 40 秒 (日本時間)

88×10232-619

c217

composite cofactor 合成数の残り
2776040165125056328392944738088355862043932647353755862448024199405763000441504845832497320773976636648418179970187297999883681356106661653635981610863764085199703800410778681504042374775873066113096146402246863462321<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e6315050CypJanuary 3, 2014 08:16:52 UTC 2014 年 1 月 3 日 (金) 17 時 16 分 52 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:12:38 UTC 2014 年 1 月 9 日 (木) 14 時 12 分 38 秒 (日本時間)
1500Dmitry DomanovJanuary 10, 2014 12:23:05 UTC 2014 年 1 月 10 日 (金) 21 時 23 分 5 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:08:24 UTC 2014 年 5 月 27 日 (火) 3 時 8 分 24 秒 (日本時間)
4511e6457191CypDecember 27, 2013 21:22:45 UTC 2013 年 12 月 28 日 (土) 6 時 22 分 45 秒 (日本時間)
4480iveliveSeptember 11, 2020 08:50:46 UTC 2020 年 9 月 11 日 (金) 17 時 50 分 46 秒 (日本時間)

88×10233-619

c214

composite cofactor 合成数の残り
3078357787314242608176893120255577909402512265529257666592293383186779929505204096113415993626842054814538392373592851579277252863135531783594645793914830021846699282892569530652194472505139861131303589485003488229<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e6315050CypJanuary 6, 2014 10:00:20 UTC 2014 年 1 月 6 日 (月) 19 時 0 分 20 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:12:38 UTC 2014 年 1 月 9 日 (木) 14 時 12 分 38 秒 (日本時間)
1500Dmitry DomanovJanuary 10, 2014 12:23:18 UTC 2014 年 1 月 10 日 (金) 21 時 23 分 18 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:08:25 UTC 2014 年 5 月 27 日 (火) 3 時 8 分 25 秒 (日本時間)
4511e6457191CypDecember 27, 2013 21:23:58 UTC 2013 年 12 月 28 日 (土) 6 時 23 分 58 秒 (日本時間)
4480iveliveAugust 28, 2020 01:18:39 UTC 2020 年 8 月 28 日 (金) 10 時 18 分 39 秒 (日本時間)

88×10235-619

c225

name 名前Dmitry Domanov
date 日付January 13, 2014 08:12:24 UTC 2014 年 1 月 13 日 (月) 17 時 12 分 24 秒 (日本時間)
composite number 合成数
335340178134983327204213226688274835272949154552642382623838940366030723043326331976343874201371723057264621871162808310764850622602393733520287357957319081295079749682650165745865379311635307627593279446706062919072127975537<225>
prime factors 素因数
251653077618293503304901987629213722027<39>
1332549481646420082794842841199313016310178431058824110741798425823701460408544793216396064259241125842009854330455018038071793000399486703696418819539670826464031502091818173902725570131<187>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2981918836
Step 1 took 30702ms
Step 2 took 11436ms
********** Factor found in step 2: 251653077618293503304901987629213722027
Found probable prime factor of 39 digits: 251653077618293503304901987629213722027

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61850 / 200450CypJanuary 1, 2014 21:02:16 UTC 2014 年 1 月 2 日 (木) 6 時 2 分 16 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:12:39 UTC 2014 年 1 月 9 日 (木) 14 時 12 分 39 秒 (日本時間)
1500Dmitry DomanovJanuary 10, 2014 12:23:31 UTC 2014 年 1 月 10 日 (金) 21 時 23 分 31 秒 (日本時間)
4511e691 / 4066CypDecember 27, 2013 21:24:59 UTC 2013 年 12 月 28 日 (土) 6 時 24 分 59 秒 (日本時間)

88×10236-619

c203

name 名前Serge Batalov
date 日付January 9, 2014 17:27:12 UTC 2014 年 1 月 10 日 (金) 2 時 27 分 12 秒 (日本時間)
composite number 合成数
43318581498281687622827276369691878728672727735657039783088183559980256567817274071394698057618846086429434830768935971404502544484080546534800352759562087424987879682243477519652482922929682640696332717<203>
prime factors 素因数
212795080636598769261471690947263<33>
203569468658249121247418647522044060066135361252226824393319345055375081690594951806576467422180323244732396411090565714211849438297550897282616473256489318302050338253459<171>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=702149461
Step 1 took 16964ms
Step 2 took 6850ms
********** Factor found in step 2: 212795080636598769261471690947263
Found probable prime factor of 33 digits: 212795080636598769261471690947263
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e6350 / 200450CypJanuary 1, 2014 17:23:59 UTC 2014 年 1 月 2 日 (木) 2 時 23 分 59 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:12:40 UTC 2014 年 1 月 9 日 (木) 14 時 12 分 40 秒 (日本時間)
4511e691 / 4398CypDecember 27, 2013 21:25:19 UTC 2013 年 12 月 28 日 (土) 6 時 25 分 19 秒 (日本時間)

88×10237-619

c215

name 名前Dmitry Domanov
date 日付January 13, 2014 08:13:08 UTC 2014 年 1 月 13 日 (月) 17 時 13 分 8 秒 (日本時間)
composite number 合成数
12977351142807485886103251236226042044127663723999521911681184682530824330625074786956224629022219313573183096067729095318085543995816097574470138928495408060054634699805100859394731829156262101229591751011709441899<215>
prime factors 素因数
68556538744697632088316435987826267<35>
composite cofactor 合成数の残り
189294141455051113816976411660047283126017445033426791041764613629458508199847172720359457815116680248885608538175211790782778933716044649684605979663965826444299582498480449282097<180>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3042560486
Step 1 took 30525ms
Step 2 took 11097ms
********** Factor found in step 2: 68556538744697632088316435987826267
Found probable prime factor of 35 digits: 68556538744697632088316435987826267

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e6315050CypJanuary 3, 2014 07:22:56 UTC 2014 年 1 月 3 日 (金) 16 時 22 分 56 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:12:41 UTC 2014 年 1 月 9 日 (木) 14 時 12 分 41 秒 (日本時間)
1500Dmitry DomanovJanuary 10, 2014 12:23:45 UTC 2014 年 1 月 10 日 (金) 21 時 23 分 45 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:08:25 UTC 2014 年 5 月 27 日 (火) 3 時 8 分 25 秒 (日本時間)
4511e691 / 3779CypDecember 27, 2013 21:25:36 UTC 2013 年 12 月 28 日 (土) 6 時 25 分 36 秒 (日本時間)

88×10241-619

c241

name 名前Serge Batalov
date 日付December 4, 2013 06:36:31 UTC 2013 年 12 月 4 日 (水) 15 時 36 分 31 秒 (日本時間)
composite number 合成数
1074481074481074481074481074481074481074481074481074481074481074481074481074481074481074481074481074481074481074481074481074481074481074481074481074481074481074481074481074481074481074481074481074481074481074481074481074481074481074481074481<241>
prime factors 素因数
13265720974511616132077196946617661<35>
composite cofactor 合成数の残り
80996809487064612120049515766029456912415519901834893020590732862631571433257454930426725130538512023505067426072834333361087195651957141426100431835654405322382395074179454413372868440261089060711195087621<206>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=3004828727
Step 1 took 87874ms
********** Factor found in step 1: 13265720974511616132077196946617661
Found probable prime factor of 35 digits: 13265720974511616132077196946617661
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62010210Serge BatalovDecember 4, 2013 17:32:36 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 36 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:12:41 UTC 2014 年 1 月 9 日 (木) 14 時 12 分 41 秒 (日本時間)
1500Dmitry DomanovJanuary 10, 2014 12:23:57 UTC 2014 年 1 月 10 日 (金) 21 時 23 分 57 秒 (日本時間)
4511e6451 / 403160Serge BatalovDecember 4, 2013 17:32:36 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 36 秒 (日本時間)
91CypDecember 27, 2013 21:27:02 UTC 2013 年 12 月 28 日 (土) 6 時 27 分 2 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:37:20 UTC 2014 年 5 月 27 日 (火) 9 時 37 分 20 秒 (日本時間)

88×10242-619

c202

name 名前Cyp
date 日付January 3, 2014 22:12:23 UTC 2014 年 1 月 4 日 (土) 7 時 12 分 23 秒 (日本時間)
composite number 合成数
9187916547135720399508493747917782039425259605538933384706745980605635412684527002623798975728554020599994190595406305852027416128503721965316702381735022500026210762618653326660550684879447498630226681<202>
prime factors 素因数
1375300151053237817620318664612513<34>
6680662792118065063892269823301292876372543346231035471900891557475271522684965293755293865473606054250844150905054649843191722761737417777676338983556401777324870254937<169>
factorization results 素因数分解の結果
Run 3 out of 50:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=600041211
Step 1 took 18719ms
Step 2 took 6281ms
********** Factor found in step 2: 1375300151053237817620318664612513
Found probable prime factor of 34 digits: 1375300151053237817620318664612513
Probable prime cofactor 6680662792118065063892269823301292876372543346231035471900891557475271522684965293755293865473606054250844150905054649843191722761737417777676338983556401777324870254937 has 169 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 222Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e63 / 2004CypJanuary 3, 2014 22:12:22 UTC 2014 年 1 月 4 日 (土) 7 時 12 分 22 秒 (日本時間)
4511e691 / 4474CypDecember 27, 2013 21:28:15 UTC 2013 年 12 月 28 日 (土) 6 時 28 分 15 秒 (日本時間)

88×10243-619

c244

composite cofactor 合成数の残り
3259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259257<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e6210Serge BatalovDecember 4, 2013 17:32:40 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 40 秒 (日本時間)
4511e660Serge BatalovDecember 4, 2013 17:32:40 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 40 秒 (日本時間)
5043e62450 / 7531Serge BatalovDecember 25, 2013 07:48:09 UTC 2013 年 12 月 25 日 (水) 16 時 48 分 9 秒 (日本時間)

88×10245-619

c223

composite cofactor 合成数の残り
4071561050816447601092992762523403110175260901034845299240375482268639343339460862035701471920842485744282164603745955580565573533815963374910519653971547287003230594894221381894385076323045246743920039124371210758992293227<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e6315050CypJanuary 5, 2014 10:38:59 UTC 2014 年 1 月 5 日 (日) 19 時 38 分 59 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:12:42 UTC 2014 年 1 月 9 日 (木) 14 時 12 分 42 秒 (日本時間)
1500Dmitry DomanovJanuary 10, 2014 12:21:54 UTC 2014 年 1 月 10 日 (金) 21 時 21 分 54 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:08:26 UTC 2014 年 5 月 27 日 (火) 3 時 8 分 26 秒 (日本時間)
4511e6418791CypDecember 27, 2013 21:29:14 UTC 2013 年 12 月 28 日 (土) 6 時 29 分 14 秒 (日本時間)
4096iveliveAugust 22, 2020 02:25:12 UTC 2020 年 8 月 22 日 (土) 11 時 25 分 12 秒 (日本時間)

88×10246-619

c214

name 名前Cyp
date 日付December 27, 2013 06:14:59 UTC 2013 年 12 月 27 日 (金) 15 時 14 分 59 秒 (日本時間)
composite number 合成数
2125488580177726024794228211223646823019067168555210087235523045302164562971116972318844573402673089822075344134717584660851157831992380283263429542113752406160832518176045287806571244820142748627261172261063964003<214>
prime factors 素因数
440567358312083740782261766612135105399<39>
4824434992916788685565561688703618584717410846494380930133054355530863971637966567552641156020258576021248836577149856151830197427789809301586973129493451365398854853965639797<175>
factorization results 素因数分解の結果
(Doing up to 100 at 11000000.)
Using B1=11000000, B2=11000000-35133391030, polynomial Dickson(12), sigma=3955260109
Step 1 took 78410ms
Step 2 took 22101ms
********** Factor found in step 2: 440567358312083740782261766612135105399
Found probable prime factor of 39 digits: 440567358312083740782261766612135105399
Probable prime cofactor 4824434992916788685565561688703618584717410846494380930133054355530863971637966567552641156020258576021248836577149856151830197427789809301586973129493451365398854853965639797 has 175 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)

88×10247-619

c190

name 名前Cyp
date 日付December 27, 2013 21:30:52 UTC 2013 年 12 月 28 日 (土) 6 時 30 分 52 秒 (日本時間)
composite number 合成数
4461921328117588226131981931188376712228600458705650008471733127916870334252280996193533421213509346012949097492067960866426792656391963976155636133735376830797060299323505246886401216163683<190>
prime factors 素因数
146335449304420812142204125079<30>
composite cofactor 合成数の残り
30491048815078828799562395196035122085345780748202350521564049209644627569865250486364048573669124152347895938779906267077400992209801260272017559140185968019477<161>
factorization results 素因数分解の結果
Input number is 4461921328117588226131981931188376712228600458705650008471733127916870334252280996193533421213509346012949097492067960866426792656391963976155636133735376830797060299323505246886401216163683 (190 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3587152532
Step 1 took 57313ms
Step 2 took 18382ms
********** Factor found in step 2: 146335449304420812142204125079
Found probable prime factor of 30 digits: 146335449304420812142204125079
Composite cofactor 30491048815078828799562395196035122085345780748202350521564049209644627569865250486364048573669124152347895938779906267077400992209801260272017559140185968019477 has 161 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

c161

name 名前Serge Batalov
date 日付January 4, 2014 22:40:32 UTC 2014 年 1 月 5 日 (日) 7 時 40 分 32 秒 (日本時間)
composite number 合成数
30491048815078828799562395196035122085345780748202350521564049209644627569865250486364048573669124152347895938779906267077400992209801260272017559140185968019477<161>
prime factors 素因数
20877827844540497971138152346336860947417<41>
composite cofactor 合成数の残り
1460451204125249318574964792631222539362280532619936812651975476451385931039665772281876130342040872920961801490607361181<121>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=1419727780
Step 1 took 42780ms
Step 2 took 24889ms
********** Factor found in step 2: 20877827844540497971138152346336860947417
Found probable prime factor of 41 digits: 20877827844540497971138152346336860947417
Composite cofactor 

c121

name 名前Dmitry Domanov
date 日付January 9, 2014 12:38:42 UTC 2014 年 1 月 9 日 (木) 21 時 38 分 42 秒 (日本時間)
composite number 合成数
1460451204125249318574964792631222539362280532619936812651975476451385931039665772281876130342040872920961801490607361181<121>
prime factors 素因数
1229028990389301940710367009972006774626200435396286143<55>
1188296790023352559062886025492249698630781531239338914745411727267<67>
factorization results 素因数分解の結果
N=1460451204125249318574964792631222539362280532619936812651975476451385931039665772281876130342040872920961801490607361181
  ( 121 digits)
Divisors found:
 r1=1229028990389301940710367009972006774626200435396286143 (pp55)
 r2=1188296790023352559062886025492249698630781531239338914745411727267 (pp67)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 59.69 hours.
Scaled time: 65.18 units (timescale=1.092).
Factorization parameters were as follows:
n: 1460451204125249318574964792631222539362280532619936812651975476451385931039665772281876130342040872920961801490607361181
skew: 114507.46
c0: 40524775265481107894610092137
c1: 570504001670569995463381
c2: -43001378190629170499
c3: 113492039722211
c4: 3355925554
c5: 4560
Y0: -200033987019764013252444
Y1: 2035345992569
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 600000
type: gnfs
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2550000, 4950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 581821 x 582058
Total sieving time: 58.67 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 0.44 hours.
Time per square root: 0.38 hours.
Prototype def-par.txt line would be:
gnfs,120,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5100000,5100000,27,27,54,54,2.5,2.5,100000
total time: 59.69 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e6600Lionel DebrouxJanuary 1, 2014 18:49:10 UTC 2014 年 1 月 2 日 (木) 3 時 49 分 10 秒 (日本時間)
4511e6591 / 371191CypDecember 27, 2013 21:30:06 UTC 2013 年 12 月 28 日 (土) 6 時 30 分 6 秒 (日本時間)
500Serge BatalovJanuary 4, 2014 22:39:09 UTC 2014 年 1 月 5 日 (日) 7 時 39 分 9 秒 (日本時間)
5043e6180 / 7397Ignacio SantosJanuary 5, 2014 18:32:56 UTC 2014 年 1 月 6 日 (月) 3 時 32 分 56 秒 (日本時間)

88×10248-619

c222

composite cofactor 合成数の残り
984302229808023250375619420211694274397444750699765621131689791357915313026713139260737005869538613053306900618570261862366753666714127221236034418032191662281899986872765111957508172113450819029942753036347120211670393207<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e6185050CypDecember 31, 2013 13:20:25 UTC 2013 年 12 月 31 日 (火) 22 時 20 分 25 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:12:43 UTC 2014 年 1 月 9 日 (木) 14 時 12 分 43 秒 (日本時間)
1500Dmitry DomanovJanuary 10, 2014 12:22:23 UTC 2014 年 1 月 10 日 (金) 21 時 22 分 23 秒 (日本時間)
4511e6436 / 406691CypDecember 27, 2013 21:31:43 UTC 2013 年 12 月 28 日 (土) 6 時 31 分 43 秒 (日本時間)
45CypMarch 11, 2014 05:37:19 UTC 2014 年 3 月 11 日 (火) 14 時 37 分 19 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:37:20 UTC 2014 年 5 月 27 日 (火) 9 時 37 分 20 秒 (日本時間)

88×10249-619

c189

name 名前Cyp
date 日付December 27, 2013 06:17:31 UTC 2013 年 12 月 27 日 (金) 15 時 17 分 31 秒 (日本時間)
composite number 合成数
241669873449196087081144762679683691624883064755212982071952086435295305160448651224067512719868410355958313959101670622225983595937575561363007002327979874700034893484721054517039072215973<189>
prime factors 素因数
538332437738926879802890954439<30>
448923112388033070303086609133460005742997376963510031749562838359104648064177994320754006814983849073257054897059639030469114781571325218223060138665164269107<159>
factorization results 素因数分解の結果
(Doing up to 100 at 11000000.)
Using B1=11000000, B2=11000000-35133391030, polynomial Dickson(12), sigma=2062053207
Step 1 took 57669ms
Step 2 took 18596ms
********** Factor found in step 2: 538332437738926879802890954439
Found probable prime factor of 30 digits: 538332437738926879802890954439
Probable prime cofactor 448923112388033070303086609133460005742997376963510031749562838359104648064177994320754006814983849073257054897059639030469114781571325218223060138665164269107 has 159 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)

88×10250-619

c207

composite cofactor 合成数の残り
127078673141634156822892064675199562205568263578060980469104655328210536884558317551189858763462346197150920260592439827211281651831696266551194945293743958255502376912406984430740385320801779920033610219011<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e6102CypDecember 31, 2013 13:05:06 UTC 2013 年 12 月 31 日 (火) 22 時 5 分 6 秒 (日本時間)
4511e6159191CypDecember 27, 2013 21:32:19 UTC 2013 年 12 月 28 日 (土) 6 時 32 分 19 秒 (日本時間)
1500Dmitry DomanovJanuary 6, 2014 09:25:05 UTC 2014 年 1 月 6 日 (月) 18 時 25 分 5 秒 (日本時間)
5043e6820 / 7192320Dmitry DomanovJanuary 14, 2014 10:22:40 UTC 2014 年 1 月 14 日 (火) 19 時 22 分 40 秒 (日本時間)
500Dmitry DomanovJanuary 21, 2014 05:49:12 UTC 2014 年 1 月 21 日 (火) 14 時 49 分 12 秒 (日本時間)

88×10252-619

c218

composite cofactor 合成数の残り
14445984870643097078318635635303117209032593418438295248731309871531246259582716084237304279238394439244777160177161309034972943533881844500664231908059784036727901062674995012303092709016270667027004446111173944255053<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e62352humusAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
4511e62016 / 3961iveliveSeptember 7, 2020 04:35:40 UTC 2020 年 9 月 7 日 (月) 13 時 35 分 40 秒 (日本時間)

88×10254-619

c252

composite cofactor 合成数の残り
459266217838317415583737800741088669693648556964667814832211262460205626011168519388340900788059078336203747194822817180731694587965137518918636814362507176034653723709618495903136579510463963258702572934606753300975940712906424508115442826574813423099<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e62352humusAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
4511e64480iveliveSeptember 6, 2020 06:11:39 UTC 2020 年 9 月 6 日 (日) 15 時 11 分 39 秒 (日本時間)

88×10255-619

c181

name 名前ivelive
date 日付September 7, 2020 01:27:51 UTC 2020 年 9 月 7 日 (月) 10 時 27 分 51 秒 (日本時間)
composite number 合成数
2636403383301210832087727581507444701602175090929371476240608179916610651270768944912818732050891109334401706520327129439096192369510430447330252825703825073413185422121454064658099<181>
prime factors 素因数
58720377456615209354095453353489843204383<41>
44897589175905474023735910316008594157910899379515174842721598285403985666327693426436783480293887380574146828026943746597392122588781212653<140>
factorization results 素因数分解の結果
prp41 = 58720377456615209354095453353489843204383 (curve 1 stg2 B1=11000000 sigma=2916257431 thread=4)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e62352humusAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
4511e64480iveliveSeptember 7, 2020 01:25:44 UTC 2020 年 9 月 7 日 (月) 10 時 25 分 44 秒 (日本時間)

88×10257-619

c228

composite cofactor 合成数の残り
240784932508281777758296375216497705723712245726530777336383098745940538314359656627532561153067110588373682279120624116555139891528037059572688012392961597214106539983853123735384871501795739915175960344687016787361662630202643<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e62352humusAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
4511e64480iveliveSeptember 7, 2020 01:28:52 UTC 2020 年 9 月 7 日 (月) 10 時 28 分 52 秒 (日本時間)

88×10259-619

c234

composite cofactor 合成数の残り
320848506350361528272059962177807664586344325906441987161571415568930727176595439356237219125549631428448205810333775272015659176272473885273656380909920158366519619269725064360014987455142947362584655008937530549960978905225644462577<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e62352humusAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
4511e64480iveliveSeptember 7, 2020 15:05:24 UTC 2020 年 9 月 8 日 (火) 0 時 5 分 24 秒 (日本時間)

88×10260-619

c239

composite cofactor 合成数の残り
11669437393921694823613703262277177437210928200159517966245000378617131681741210348592981646847820467594948792933390546662620396991917832252350602601212650524713471987487706132099861729685308076883570684566361852215641554037726763937852923<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e62352humusAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
4511e64480iveliveNovember 23, 2020 17:32:10 UTC 2020 年 11 月 24 日 (火) 2 時 32 分 10 秒 (日本時間)

88×10262-619

c215

composite cofactor 合成数の残り
25417979989732388260155336295373748332948290717464356953690847601529247194536843106747756434746507608986041169664318393917947222812134189129700219905395547683946780514101997578746388816891663878201598669285367162901<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e62352humusAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
4511e64480iveliveSeptember 9, 2020 12:55:09 UTC 2020 年 9 月 9 日 (水) 21 時 55 分 9 秒 (日本時間)

88×10263-619

c222

composite cofactor 合成数の残り
872667114573227453200837853758783856709881319346324109163850859327722072383412226390253039181803999140912943750031602314084297410066021634828943929268041124167374058317891923537122358802885116562611459488066494134226275997<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e62352humusAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
4511e64480iveliveSeptember 8, 2020 04:38:59 UTC 2020 年 9 月 8 日 (火) 13 時 38 分 59 秒 (日本時間)

88×10264-619

c239

composite cofactor 合成数の残り
27122512942554594684482076758093330013637615431077091072051427223179238769894433427444934805424765074254633894398661928209834015063219224123689201225176693287247901599610150151645509987488552995241871457344286500562757808202521565169506083<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e62352humusAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
4511e6625 / 3961iveliveOctober 4, 2020 16:21:48 UTC 2020 年 10 月 5 日 (月) 1 時 21 分 48 秒 (日本時間)

88×10265-619

c247

composite cofactor 合成数の残り
4214242799540395122373634840807361826407767253766866472791311933614980004090672713730633531578497679513487288697876808181765032133698046251897939047944412502885020971227536130977865598779514157947725385049800888936268005341629036934549351993643103<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e62352humusAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
4511e64096iveliveOctober 3, 2020 11:43:32 UTC 2020 年 10 月 3 日 (土) 20 時 43 分 32 秒 (日本時間)

88×10266-619

c249

composite cofactor 合成数の残り
472825124104218964669439385726470480914811920082851899305489672800858474410360355462747265914665249572600884281371267979034791022546507338893549865358071201489508028977336129187833208627848782602775720228222792571893603481786466505183225712379198777<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e62352humusAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
4511e64096iveliveOctober 3, 2020 11:43:17 UTC 2020 年 10 月 3 日 (土) 20 時 43 分 17 秒 (日本時間)

88×10269-619

c216

composite cofactor 合成数の残り
156798731070418085876458480340104147632896532573776941815285834661921388113709869268701110187564133087514333843251282729592469932956482608984461217571284284629409571448393791566368827117386596753118529781691239047221<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e62352humusAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
4511e60--
5043e67560iveliveNovember 10, 2020 14:42:01 UTC 2020 年 11 月 10 日 (火) 23 時 42 分 1 秒 (日本時間)

88×10270-619

c262

composite cofactor 合成数の残り
3893572003626698968334663387042476540743419615618536000298429197517610640662685732021776683972346067489362794801782685091515023643730814143825109577634237272650830364883218634142046011757892536840256328302539517241496321947980464753400258101021095492090821247649<262>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e62352humusAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)

88×10271-619

c266

composite cofactor 合成数の残り
10094616496285026268773133233256681927776712681025868613358396430708791547190284518945467264254197860608924014942372530144159497510180047923962393010973914948886999130796163894312164245742472177774363962017215932530519954538894608980384198580194484028532938257574441<266>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e62352humusAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)

88×10272-619

c216

composite cofactor 合成数の残り
457134578079173670230112817182945275993861878001938607714955819828395339202460619848014871082701897091798237166206962629706276405300540643024649213308494205048176142021496115230335263897857988232626537484126044772779<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e62352humusAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)

88×10273-619

c196

composite cofactor 合成数の残り
4314941686291868594662741839781041678855167778998383440165417997959689106091749221218142626223682020453178738268286254750979343511947475667874143240787588918640470301016696786247348729358278735911<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e62352humusAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
4511e64480iveliveSeptember 10, 2020 03:15:50 UTC 2020 年 9 月 10 日 (木) 12 時 15 分 50 秒 (日本時間)

88×10277-619

c201

composite cofactor 合成数の残り
479391159023151128705644293370016709488537604670911631156201956400761468740260628830685552715583450213562553052373488867981858438155661839624676912146655545941757230860084795691637421051654936377570527<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e62352humusAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
4511e64480iveliveSeptember 9, 2020 03:51:46 UTC 2020 年 9 月 9 日 (水) 12 時 51 分 46 秒 (日本時間)

88×10278-619

c242

composite cofactor 合成数の残り
27992539769481587712615220405368709340409017681723952688494111690462391580503232225970892909453972637135100623898570779514437156682914029552063373344877479621621426224379044041997340734201821214556194884434378058860605088613698901134068053279<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e62352humusAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
4511e60--
5043e61416 / 7465iveliveDecember 30, 2020 04:25:17 UTC 2020 年 12 月 30 日 (水) 13 時 25 分 17 秒 (日本時間)

88×10280-619

c252

composite cofactor 合成数の残り
135481698495235131179467452252749144850614869404385655878837702566522258605261368648733000633042394159624299237076521471490983016162773208074686966207100432572012221399741303482589645257074702751175476237650378574138119887967699237041094357454162916493<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e62352humusAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)

88×10282-619

c236

composite cofactor 合成数の残り
29254907484022511395118426103461452694695812465582687540343191665375341495359675566831831271088120364919283544235263820107028391699972497453655432135148422579971801119206203194020842175320023919493736484919476147952790068194626450651437<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e62352humusAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)

88×10283-619

c273

composite cofactor 合成数の残り
127492189715047596139472375607532414034185137935500967303066882353174529558693206414551250596835306794868052920248902147591778046551626390224460398040466994699776663706045092915390544258326909300605619424995694763812413907945286614725686193982161235910959945873046245562809<273>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e62352humusAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)

88×10285-619

c231

composite cofactor 合成数の残り
470085132524879460138266816206076254273144417135847570422740504307557841678588382440078545765116236586916690746002790831804027567247295497270102511875063336238813695307979071777105629207871440687463271273330107814583749474307332263<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e62352humusAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)

88×10286-619

c262

composite cofactor 合成数の残り
3661611744586215611566583864849860015289734719722852820592330450707511783357591194176032984506516106769206781847950712109569953189634240698022680781454454500455897029810143452576040844785530180174478311516468929016282363756922901883680097802067671229872145867411<262>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e62352humusAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)

88×10288-619

c260

composite cofactor 合成数の残り
21555793283714903117952895469251109670900842106962929511158338949735217776658879420971089633999218503625801385763639313594037613107561885891721497946581077848397191442244677527407711248748453530246787142447067994684613151318017459707208306832412848677407185707<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e62352humusAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)

88×10290-619

c238

composite cofactor 合成数の残り
2409677144881148122990144610524238917654581943050602373995029820121890484752919420787061067175328976316563887106640807623587429720327092502349650779507891918259713546338127058027849635608273898140901287120114601346506914936879852772990483<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e62352humusAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)

88×10292-619

c290

composite cofactor 合成数の残り
48476835784718779265135239354376687048972621605244312234892304302319175893791659780752492700930975596320167465432710846692006830826860574009805541783727207624084173414862557153087643915606235883875943370241833305789676637470390569051947336528397510053434693989974108962705888833801575497163<290>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e62352humusAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)

88×10293-619

c294

composite cofactor 合成数の残り
977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777771<294>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e62352humusAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
4511e64480iveliveAugust 30, 2020 16:46:15 UTC 2020 年 8 月 31 日 (月) 1 時 46 分 15 秒 (日本時間)
5043e67560iveliveSeptember 1, 2020 07:19:40 UTC 2020 年 9 月 1 日 (火) 16 時 19 分 40 秒 (日本時間)
5511e7768 / 14771iveliveJuly 12, 2021 01:23:23 UTC 2021 年 7 月 12 日 (月) 10 時 23 分 23 秒 (日本時間)
6026e71 / 40768iveliveSeptember 3, 2020 14:14:18 UTC 2020 年 9 月 3 日 (木) 23 時 14 分 18 秒 (日本時間)

88×10294-619

c246

composite cofactor 合成数の残り
662842791286989330243108320396802701946384514110309952992395975580343581619644290714105706651852886034545089678372909850721590454912710637482306537661914130680731992272532488365632445290383983235024248660851564573086498179371572408796265570538727<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e62352humusAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)

88×10295-619

c259

composite cofactor 合成数の残り
9198775882873735704839289270257847309971424901095090016155330599767176579448732635304202187366398794372850702473652403147200711056464655199331657643519217356000321516377633623475093714599088561392241758100634164470180722857925341220039177263861749832466365349<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e62352humusAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)

88×10297-619

c238

composite cofactor 合成数の残り
3503439173913545433748032291661822624686689096332622329324190158868915985182905529119813585380994302210255918616887247055423227550130156319782859018544093341708817034230829974179512772543501751075465689378901555795391090643828410099777793<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e62352humusAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)

88×10298-619

c212

name 名前ivelive
date 日付September 9, 2020 01:28:22 UTC 2020 年 9 月 9 日 (水) 10 時 28 分 22 秒 (日本時間)
composite number 合成数
16248277241547617463966124325425386595370075077340719844920821008713604841230846664193231359456552454227700656866271376495121546064820990339053298909200997121955573637620420676040499264796837915024699625213639993<212>
prime factors 素因数
539576363504421423708191278793073939003909419<45>
composite cofactor 合成数の残り
30113026330543619180277289036070378078986759488309080808898213676597903792213168192630376940201689022115365383008563239638363029445522127866534075235105360122525416747<167>
factorization results 素因数分解の結果
prp45 = 539576363504421423708191278793073939003909419 (curve 17 stg1 B1=43000000 sigma=2932228276 thread=6)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e62352humusAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
4511e64480iveliveSeptember 8, 2020 13:23:22 UTC 2020 年 9 月 8 日 (火) 22 時 23 分 22 秒 (日本時間)

88×10299-619

c294

composite cofactor 合成数の残り
462039103524429031239986418150534125079340777308335547708241417741787031790968049103415744833024580952847491865355294681977172433045939760496780243753979508670767578737107468247806482482128668754558370161262673063178019413728032337696820126129324640067600521201110552988875831033769965536608277<294>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e62352humusAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)

88×10300-619

c266

composite cofactor 合成数の残り
32669663328674919984560165099898510742388295651363270071610892624120556460883781582254244845986099166957729184740013177961251656641639527621312598301595704489471925828858768237026146297026301853737122767391950860210474714617452683705281852182856792859642901082816411<266>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e62352humusAugust 30, 2020 15:00:00 UTC 2020 年 8 月 31 日 (月) 0 時 0 分 0 秒 (日本時間)
4511e62000Dmitry DomanovAugust 31, 2020 13:57:26 UTC 2020 年 8 月 31 日 (月) 22 時 57 分 26 秒 (日本時間)
5043e6560 / 7016Dmitry DomanovSeptember 1, 2020 18:03:59 UTC 2020 年 9 月 2 日 (水) 3 時 3 分 59 秒 (日本時間)