17333634787851382922601552490767955384731328660788303564699675936393096691536664405757781294747155022985907<107>

15657590962371840382069424283498865142543<41>
1107043531122213731069211459476835017897299236455125765923081029149<67>

SNFS difficulty: 110 digits.
Divisors found:
 r1=15657590962371840382069424283498865142543 (pp41)
 r2=1107043531122213731069211459476835017897299236455125765923081029149 (pp67)
Version: Msieve v. 1.44 SVN157
Total time: 0.63 hours.
Scaled time: 1.52 units (timescale=2.400).
Factorization parameters were as follows:
n: 17333634787851382922601552490767955384731328660788303564699675936393096691536664405757781294747155022985907
m: 1000000000000000000000
deg: 5
c5: 230000
c0: -17
skew: 0.15
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
Max factor residue bits: 44/44
Sieved rational special-q in [300000, 550001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 53200 x 53427
Total sieving time: 0.61 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,110.000,5,0,0,0,0,0,0,0,0,480000,480000,25,25,44,44,2.2,2.2,50000
total time: 0.63 hours.

30089511742871643769964632131175135743122042073471668918174706140412512932354920769209337<89>

1118338087153059584933843463282641<34>
26905559319248589651357853745624920225257541945854546857<56>

GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 30089511742871643769964632131175135743122042073471668918174706140412512932354920769209337 (89 digits)
Using B1=922000, B2=871204962, polynomial Dickson(3), sigma=3498851850
Step 1 took 5719ms
Step 2 took 2687ms
********** Factor found in step 2: 1118338087153059584933843463282641
Found probable prime factor of 34 digits: 1118338087153059584933843463282641
Probable prime cofactor 26905559319248589651357853745624920225257541945854546857 has 56 digits

310391363022941970310391363022941970310391363022941970310391363022941970310391363022941970310391363022941970310391363<117>

9220814096092378075081918296352874047<37>
33662034586998177818149074936349876698328006634392197039896356491332469987852029<80>

Number: 76661_118
N=310391363022941970310391363022941970310391363022941970310391363022941970310391363022941970310391363022941970310391363
  ( 117 digits)
SNFS difficulty: 119 digits.
Divisors found:
 r1=9220814096092378075081918296352874047 (pp37)
 r2=33662034586998177818149074936349876698328006634392197039896356491332469987852029 (pp80)
Version: Msieve v. 1.42
Total time: 0.04 hours.
Scaled time: 0.03 units (timescale=0.795).
Factorization parameters were as follows:
name: 76661_118
n: 310391363022941970310391363022941970310391363022941970310391363022941970310391363022941970310391363022941970310391363
m: 100000000000000000000000
deg: 5
c5: 23000
c0: -17
skew: 0.24
type: snfs
lss: 1
rlim: 680000
alim: 680000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 680000/680000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [340000, 640001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 79185 x 79410
Total sieving time: 0.00 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,119.000,5,0,0,0,0,0,0,0,0,680000,680000,25,25,45,45,2.2,2.2,50000
total time: 0.04 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.33 BogoMIPS (lpj=1860666)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860571)
Total of 2 processors activated (7442.47 BogoMIPS).

Total time: 83 min.

368472051711260603290907951809574825594060081448813710281059755320847323776252661535937982849<93>

40385545056978807490330733028374505691311499<44>
9123859816461408438093111424239616025271490303651<49>

Number: 76661_120
N=368472051711260603290907951809574825594060081448813710281059755320847323776252661535937982849
  ( 93 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=40385545056978807490330733028374505691311499 (pp44)
 r2=9123859816461408438093111424239616025271490303651 (pp49)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 2.37 hours.
Scaled time: 1.11 units (timescale=0.468).
Factorization parameters were as follows:
name: 76661_120
n: 368472051711260603290907951809574825594060081448813710281059755320847323776252661535937982849
m: 1000000000000000000000000
deg: 5
c5: 23
c0: -17
skew: 0.94
type: snfs
lss: 1
rlim: 740000
alim: 740000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 740000/740000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [370000, 570001)
Primes: RFBsize:59531, AFBsize:59778, largePrimes:1289988 encountered
Relations: rels:1259145, finalFF:145398
Max relations in full relation-set: 28
Initial matrix: 119374 x 145398 with sparse part having weight 6389763.
Pruned matrix : 104465 x 105125 with weight 3571061.
Total sieving time: 2.21 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,121,5,0,0,0,0,0,0,0,0,740000,740000,25,25,46,46,2.2,2.2,50000
total time: 2.37 hours.
 --------- CPU info (if available) ----------

Pentium4 2.4GHz,Windows XP and  Cygwin)

978509811626541970469396196670019171035584479650068940622039738302305908426169320238642401043811501599350377<108>

741688256826905058083748714823<30>
1319300666580334226218159946688540099971933859484532199655146475100465378632399<79>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=3326129902
Step 1 took 4316ms
Step 2 took 2776ms
********** Factor found in step 2: 741688256826905058083748714823
Found probable prime factor of 30 digits: 741688256826905058083748714823
Probable prime cofactor has 79 digits

67411234394965052867362708500102595217340895755614475022353081977374166777198257577218719672431852753265915127<110>

2558995386883296022720615957313118525870831481<46>
26342851081520675035689188882287686037742543187479440491093033967<65>

Number: 76661_125
N=67411234394965052867362708500102595217340895755614475022353081977374166777198257577218719672431852753265915127
  ( 110 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=2558995386883296022720615957313118525870831481 (pp46)
 r2=26342851081520675035689188882287686037742543187479440491093033967 (pp65)
Version: Msieve v. 1.42
Total time: 0.09 hours.
Scaled time: 0.07 units (timescale=0.795).
Factorization parameters were as follows:
name: 76661_125
n: 67411234394965052867362708500102595217340895755614475022353081977374166777198257577218719672431852753265915127
m: 10000000000000000000000000
deg: 5
c5: 23
c0: -17
skew: 0.94
type: snfs
lss: 1
rlim: 890000
alim: 890000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 890000/890000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [445000, 645001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 130853 x 131095
Total sieving time: 0.00 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,126.000,5,0,0,0,0,0,0,0,0,890000,890000,26,26,46,46,2.3,2.3,50000
total time: 0.09 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.33 BogoMIPS (lpj=1860666)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860571)
Total of 2 processors activated (7442.47 BogoMIPS).

Total time: 71 min.

331762509970905870321247080850523679909760597287913603272620794008657559064545117537687499909847144029645143934443728029749<123>

17325323742942685585564136440668567011871023<44>
19148993397947114116728493211346650542616183424561745135636491481312527026611163<80>

Number: 76661_127
N=331762509970905870321247080850523679909760597287913603272620794008657559064545117537687499909847144029645143934443728029749
  ( 123 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=17325323742942685585564136440668567011871023 (pp44)
 r2=19148993397947114116728493211346650542616183424561745135636491481312527026611163 (pp80)
Version: Msieve-1.40
Total time: 2.33 hours.
Scaled time: 7.77 units (timescale=3.339).
Factorization parameters were as follows:
name: 76661_127
n: 331762509970905870321247080850523679909760597287913603272620794008657559064545117537687499909847144029645143934443728029749
m: 10000000000000000000000000
deg: 5
c5: 2300
c0: -17
skew: 0.37
type: snfs
lss: 1
rlim: 960000
alim: 960000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 960000/960000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [480000, 930001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 143966 x 144214
Total sieving time: 2.26 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,128.000,5,0,0,0,0,0,0,0,0,960000,960000,26,26,47,47,2.3,2.3,50000
total time: 2.33 hours.
 --------- CPU info (if available) ----------

Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

52351488897967699267919055402510909424344621384131030040809351286980551171497718965963406354783354402531463074116301746061<122>

796330877846429536306828912489<30>
65740875249676750527318907470608197372316851127687878872318015560789092527574729697323746949<92>

Number: 76661_128
N=52351488897967699267919055402510909424344621384131030040809351286980551171497718965963406354783354402531463074116301746061
  ( 122 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=796330877846429536306828912489 (pp30)
 r2=65740875249676750527318907470608197372316851127687878872318015560789092527574729697323746949 (pp92)
Version: Msieve v. 1.42
Total time: 0.19 hours.
Scaled time: 0.15 units (timescale=0.796).
Factorization parameters were as follows:
name: 76661_128
n: 52351488897967699267919055402510909424344621384131030040809351286980551171497718965963406354783354402531463074116301746061
m: 10000000000000000000000000
deg: 5
c5: 23000
c0: -17
skew: 0.24
type: snfs
lss: 1
rlim: 1000000
alim: 1000000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [500000, 950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 169338 x 169580
Total sieving time: 0.00 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,129.000,5,0,0,0,0,0,0,0,0,1000000,1000000,26,26,47,47,2.3,2.3,50000
total time: 0.19 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.33 BogoMIPS (lpj=1860666)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860571)
Total of 2 processors activated (7442.47 BogoMIPS).

Total time: 2 hours 24 min.

9296978267828239215778055420580947152701372448227048054585065552387441787273738328300636467090051056983564680553199310519923<124>

30318235100717866400373492092541671420427759317<47>
306646420444444276169168758599822702752172077221617339445341659227794033863719<78>

N=9296978267828239215778055420580947152701372448227048054585065552387441787273738328300636467090051056983564680553199310519923
  ( 124 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=30318235100717866400373492092541671420427759317 (pp47)
 r2=306646420444444276169168758599822702752172077221617339445341659227794033863719 (pp78)
Version: Msieve-1.40
Total time: 2.14 hours.
Scaled time: 4.18 units (timescale=1.957).
Factorization parameters were as follows:
n: 9296978267828239215778055420580947152701372448227048054585065552387441787273738328300636467090051056983564680553199310519923
m: 100000000000000000000000000
deg: 5
c5: 23
c0: -17
skew: 0.94
type: snfs
lss: 1
rlim: 1080000
alim: 1080000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1080000/1080000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [540000, 940001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 118274 x 118500
Total sieving time: 2.07 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,131.000,5,0,0,0,0,0,0,0,0,1080000,1080000,26,26,47,47,2.3,2.3,50000
total time: 2.14 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

49179012143907225906578389671542644025191118244977237920486566849786794594596600064062738910557527636403<104>

512631118506491300694853903522261777639574203531<48>
95934504107332076044084320068184723105024374504364475513<56>

N=49179012143907225906578389671542644025191118244977237920486566849786794594596600064062738910557527636403
  ( 104 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=512631118506491300694853903522261777639574203531 (pp48)
 r2=95934504107332076044084320068184723105024374504364475513 (pp56)
Version: Msieve-1.40
Total time: 2.36 hours.
Scaled time: 4.28 units (timescale=1.813).
Factorization parameters were as follows:
n: 49179012143907225906578389671542644025191118244977237920486566849786794594596600064062738910557527636403
m: 100000000000000000000000000
deg: 5
c5: 230
c0: -17
skew: 0.59
type: snfs
lss: 1
rlim: 1120000
alim: 1120000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1120000/1120000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [560000, 1010001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 143159 x 143390
Total sieving time: 2.27 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,132.000,5,0,0,0,0,0,0,0,0,1120000,1120000,26,26,47,47,2.3,2.3,50000
total time: 2.36 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

129103917668162726731772830908925781361968295747125140777591309620114914174761522901897059756139774877176710303<111>

6765672016507302473411933737<28>
19082201642817897816379464000476263038247593631835682844121143546670724325874838919<83>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=4049908066
Step 1 took 4545ms
Step 2 took 2884ms
********** Factor found in step 2: 6765672016507302473411933737
Found probable prime factor of 28 digits: 6765672016507302473411933737
Probable prime cofactor has 83 digits

47917795744027780378413304806221669354275218945932946509109283412132135919751097227147273714466857302391261693<110>

1905320850171848469909562071495906961196008761575322601<55>
25149462747812728594322660597906703351892283482122779893<56>

N=47917795744027780378413304806221669354275218945932946509109283412132135919751097227147273714466857302391261693
  ( 110 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=1905320850171848469909562071495906961196008761575322601 (pp55)
 r2=25149462747812728594322660597906703351892283482122779893 (pp56)
Version: Msieve-1.40
Total time: 3.71 hours.
Scaled time: 6.97 units (timescale=1.877).
Factorization parameters were as follows:
n: 47917795744027780378413304806221669354275218945932946509109283412132135919751097227147273714466857302391261693
m: 1000000000000000000000000000
deg: 5
c5: 23
c0: -17
skew: 0.94
type: snfs
lss: 1
rlim: 1310000
alim: 1310000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1310000/1310000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [655000, 1330001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 155675 x 155900
Total sieving time: 3.59 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,136.000,5,0,0,0,0,0,0,0,0,1310000,1310000,26,26,48,48,2.3,2.3,75000
total time: 3.71 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

9867912970111695460549107729778455971521528100356802580128959817623419385028243844407302888829<94>

371170686541166156016178439269165816819121<42>
26585916743770808161710550311179305870423365914583949<53>

Wed Dec 16 18:14:05 2009  Msieve v. 1.42
Wed Dec 16 18:14:05 2009  random seeds: a37cea14 4740c28b
Wed Dec 16 18:14:05 2009  factoring 9867912970111695460549107729778455971521528100356802580128959817623419385028243844407302888829 (94 digits)
Wed Dec 16 18:14:06 2009  searching for 15-digit factors
Wed Dec 16 18:14:07 2009  commencing quadratic sieve (94-digit input)
Wed Dec 16 18:14:07 2009  using multiplier of 5
Wed Dec 16 18:14:07 2009  using 32kb Intel Core sieve core
Wed Dec 16 18:14:07 2009  sieve interval: 36 blocks of size 32768
Wed Dec 16 18:14:07 2009  processing polynomials in batches of 6
Wed Dec 16 18:14:07 2009  using a sieve bound of 2092049 (77647 primes)
Wed Dec 16 18:14:07 2009  using large prime bound of 297070958 (28 bits)
Wed Dec 16 18:14:07 2009  using double large prime bound of 1782987509181578 (42-51 bits)
Wed Dec 16 18:14:07 2009  using trial factoring cutoff of 51 bits
Wed Dec 16 18:14:07 2009  polynomial 'A' values have 12 factors
Wed Dec 16 21:09:09 2009  77957 relations (19573 full + 58384 combined from 1128063 partial), need 77743
Wed Dec 16 21:09:10 2009  begin with 1147636 relations
Wed Dec 16 21:09:12 2009  reduce to 200886 relations in 11 passes
Wed Dec 16 21:09:12 2009  attempting to read 200886 relations
Wed Dec 16 21:09:15 2009  recovered 200886 relations
Wed Dec 16 21:09:15 2009  recovered 182269 polynomials
Wed Dec 16 21:09:15 2009  attempting to build 77957 cycles
Wed Dec 16 21:09:15 2009  found 77957 cycles in 6 passes
Wed Dec 16 21:09:15 2009  distribution of cycle lengths:
Wed Dec 16 21:09:15 2009     length 1 : 19573
Wed Dec 16 21:09:15 2009     length 2 : 13851
Wed Dec 16 21:09:15 2009     length 3 : 13195
Wed Dec 16 21:09:15 2009     length 4 : 10679
Wed Dec 16 21:09:15 2009     length 5 : 7717
Wed Dec 16 21:09:15 2009     length 6 : 5129
Wed Dec 16 21:09:15 2009     length 7 : 3326
Wed Dec 16 21:09:15 2009     length 9+: 4487
Wed Dec 16 21:09:15 2009  largest cycle: 21 relations
Wed Dec 16 21:09:16 2009  matrix is 77647 x 77957 (20.5 MB) with weight 5073118 (65.08/col)
Wed Dec 16 21:09:16 2009  sparse part has weight 5073118 (65.08/col)
Wed Dec 16 21:09:17 2009  filtering completed in 3 passes
Wed Dec 16 21:09:17 2009  matrix is 73626 x 73690 (19.5 MB) with weight 4814531 (65.33/col)
Wed Dec 16 21:09:17 2009  sparse part has weight 4814531 (65.33/col)
Wed Dec 16 21:09:17 2009  saving the first 48 matrix rows for later
Wed Dec 16 21:09:17 2009  matrix is 73578 x 73690 (12.6 MB) with weight 3834182 (52.03/col)
Wed Dec 16 21:09:17 2009  sparse part has weight 2868194 (38.92/col)
Wed Dec 16 21:09:17 2009  matrix includes 64 packed rows
Wed Dec 16 21:09:17 2009  using block size 29476 for processor cache size 1024 kB
Wed Dec 16 21:09:18 2009  commencing Lanczos iteration
Wed Dec 16 21:09:18 2009  memory use: 12.5 MB
Wed Dec 16 21:09:56 2009  lanczos halted after 1165 iterations (dim = 73576)
Wed Dec 16 21:09:56 2009  recovered 17 nontrivial dependencies
Wed Dec 16 21:09:57 2009  prp42 factor: 371170686541166156016178439269165816819121
Wed Dec 16 21:09:57 2009  prp53 factor: 26585916743770808161710550311179305870423365914583949
Wed Dec 16 21:09:57 2009  elapsed time 02:55:52

3541627208320052231302133137465950334067836019580578948259906162277358685224793238263740358689844306988246417182127409268900355548574957<136>

12092697592643045806310843800295173<35>
292873213870386294147063822532631373146765490196977576713937119242887016739140553003906553448857860809<102>

N=3541627208320052231302133137465950334067836019580578948259906162277358685224793238263740358689844306988246417182127409268900355548574957
  ( 136 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=12092697592643045806310843800295173 (pp35)
 r2=292873213870386294147063822532631373146765490196977576713937119242887016739140553003906553448857860809 (pp102)
Version: Msieve-1.40
Total time: 4.50 hours.
Scaled time: 8.89 units (timescale=1.976).
Factorization parameters were as follows:
n: 3541627208320052231302133137465950334067836019580578948259906162277358685224793238263740358689844306988246417182127409268900355548574957
m: 10000000000000000000000000000
deg: 5
c5: 23
c0: -17
skew: 0.94
type: snfs
lss: 1
rlim: 1590000
alim: 1590000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1590000/1590000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [795000, 1595001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 195465 x 195690
Total sieving time: 4.35 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,141.000,5,0,0,0,0,0,0,0,0,1590000,1590000,26,26,48,48,2.3,2.3,100000
total time: 4.50 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

1275125665158908183961093498761262540507485267627726662887083314643040295650858484729696560729392726003508513811709366993856705114422043277<139>

1256710869813684340075674424685443<34>

1014653167874607433393138777593797766888773887153826194843762435948768275207619865105895761692478221477039<106>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=31174486
Step 1 took 6084ms
Step 2 took 3536ms
********** Factor found in step 2: 1256710869813684340075674424685443
Found probable prime factor of 34 digits: 1256710869813684340075674424685443
Composite cofactor has 106 digits

1014653167874607433393138777593797766888773887153826194843762435948768275207619865105895761692478221477039<106>

352755190695254784102272351641732783<36>
2876366371462316267559577405110123487885940029900306706265095862354433<70>

GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 1014653167874607433393138777593797766888773887153826194843762435948768275207619865105895761692478221477039 (106 digits)
Using B1=6248000, B2=14271184210, polynomial Dickson(12), sigma=1751604143
Step 1 took 43078ms
Step 2 took 20937ms
********** Factor found in step 2: 352755190695254784102272351641732783
Found probable prime factor of 36 digits: 352755190695254784102272351641732783
Probable prime cofactor 2876366371462316267559577405110123487885940029900306706265095862354433 has 70 digits

24902525444201593623169590206087716266003766898583268203352000369478243901071850776771368307181496385918397158532397<116>

282319935301119438794660871407<30>
38746341941048510460017005102921493<35>
2276518268891766986132754409859082639389235326181847<52>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=2296079492
Step 1 took 5028ms
Step 2 took 2753ms
********** Factor found in step 2: 38746341941048510460017005102921493
Found probable prime factor of 35 digits: 38746341941048510460017005102921493

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=1494950385
Step 1 took 4837ms
Step 2 took 2800ms
********** Factor found in step 2: 282319935301119438794660871407
Found probable prime factor of 30 digits: 282319935301119438794660871407

97581947477564643593089110331299517314728382133342074762330424548557049626354737877510091633647350297614226339266010777982453292304929791<137>

36960188855602750633211324135404175644311274063<47>
2640190715983647182779832355753067781879462200688202092679027690812006493721577008444741457<91>

Number: 76661_152
N=97581947477564643593089110331299517314728382133342074762330424548557049626354737877510091633647350297614226339266010777982453292304929791
  ( 137 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=36960188855602750633211324135404175644311274063 (pp47)
 r2=2640190715983647182779832355753067781879462200688202092679027690812006493721577008444741457 (pp91)
Version: Msieve-1.40
Total time: 25.30 hours.
Scaled time: 55.13 units (timescale=2.179).
Factorization parameters were as follows:
name: 76661_152
n: 97581947477564643593089110331299517314728382133342074762330424548557049626354737877510091633647350297614226339266010777982453292304929791
m: 1000000000000000000000000000000
deg: 5
c5: 2300
c0: -17
skew: 0.37
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, 2350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 453242 x 453490
Total sieving time: 24.42 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.51 hours.
Time per square root: 0.27 hours.
Prototype def-par.txt line would be:
snfs,153.000,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 25.30 hours.
 --------- CPU info (if available) ----------

Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

117831661486397224618951979782112340729790914914191743977124814790368126139876447236250651957<93>

139338087398073701499607400367444047<36>
845652927255740447206521113411422218876395124849771529531<57>

GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 117831661486397224618951979782112340729790914914191743977124814790368126139876447236250651957 (93 digits)
Using B1=1596000, B2=2140202620, polynomial Dickson(6), sigma=506009600
Step 1 took 9906ms
Step 2 took 4954ms
********** Factor found in step 2: 139338087398073701499607400367444047
Found probable prime factor of 36 digits: 139338087398073701499607400367444047
Probable prime cofactor 845652927255740447206521113411422218876395124849771529531 has 57 digits

159310337672533363108700617100095548450081934064903718204621302737571183956824919115411685512414745457<102>

12414717473821194034119539271712046513939<41>
12832377217481563826654572419663842908396469769214255375990763<62>

Number: g1
N=159310337672533363108700617100095548450081934064903718204621302737571183956824919115411685512414745457
  ( 102 digits)
Divisors found:
 r1=12414717473821194034119539271712046513939 (pp41)
 r2=12832377217481563826654572419663842908396469769214255375990763 (pp62)
Version: Msieve-1.40
Total time: 5.04 hours.
Scaled time: 9.07 units (timescale=1.798).
Factorization parameters were as follows:
name: g1
n: 159310337672533363108700617100095548450081934064903718204621302737571183956824919115411685512414745457
skew: 4879.72
# norm 8.37e+013
c5: 68040
c4: 1459968468
c3: 2274624827416
c2: -36883645829236509
c1: 32978013798099150526
c0: 36125537691963753866423
# alpha -5.33
Y1: 26266970743
Y0: -18788552604276768928
# Murphy_E 2.98e-009
# M 108917615784565156835468903241576693388517817502126863080335750591740126376177753398924995891248213897
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1150000, 1750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 205285 x 205511
Polynomial selection time: 0.52 hours.
Total sieving time: 4.37 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
gnfs,101,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 5.04 hours.
 --------- CPU info (if available) ----------

15374703613439584692253222432875289731628973724834136030060999223286157440912749623275961253659373197290075975727065229000813292417<131>

88427496717051469345371419797237<32>
1402707904580288025949330243888759763<37>
123951611451120157212443996424564242812220410225728150491070607<63>

N=15374703613439584692253222432875289731628973724834136030060999223286157440912749623275961253659373197290075975727065229000813292417
  ( 131 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=88427496717051469345371419797237 (pp32)
 r2=1402707904580288025949330243888759763 (pp37)
 r3=123951611451120157212443996424564242812220410225728150491070607 (pp63)
Version: Msieve-1.39
Total time: 11.64 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 15374703613439584692253222432875289731628973724834136030060999223286157440912749623275961253659373197290075975727065229000813292417
m: 10000000000000000000000000000000
deg: 5
c5: 230
c0: -17
skew: 0.59
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4

Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [1750000, 2950001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 444752 x 444989
Total sieving time: 11.19 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.30 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,52,52,2.4,2.4,600000
total time: 11.64 hours.
 --------- CPU info (if available) ----------
[    0.140008] CPU0: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.232014] CPU1: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.327276] CPU2: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.424216] CPU3: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.004000] Memory: 8197988k/10485760k available (2226k kernel code, 189848k reserved, 1082k data, 392k init)
[    0.083992] Calibrating delay using timer specific routine.. 6404.33 BogoMIPS (lpj=12808671)
[    0.152009] Calibrating delay using timer specific routine.. 6336.82 BogoMIPS (lpj=12673655)
[    0.244015] Calibrating delay using timer specific routine.. 6400.01 BogoMIPS (lpj=12800021)
[    0.343800] Calibrating delay using timer specific routine.. 6400.00 BogoMIPS (lpj=12800010)
[    0.428936] Total of 4 processors activated (25541.17 BogoMIPS).

78392463619690500649615081755234852646666648702514160791242601311832273605149400825847408950697862269392124192008178339067912951283<131>

705715186338595798300688933174453867428473199871<48>
111082296565570153065860168699909756750771677334054742123983078970310151864736981773<84>

Number: 76661_157
N=78392463619690500649615081755234852646666648702514160791242601311832273605149400825847408950697862269392124192008178339067912951283
  ( 131 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=705715186338595798300688933174453867428473199871 (pp48)
 r2=111082296565570153065860168699909756750771677334054742123983078970310151864736981773 (pp84)
Version: Msieve-1.40
Total time: 37.01 hours.
Scaled time: 82.24 units (timescale=2.222).
Factorization parameters were as follows:
name: 76661_157
n: 78392463619690500649615081755234852646666648702514160791242601311832273605149400825847408950697862269392124192008178339067912951283
m: 10000000000000000000000000000000
deg: 5
c5: 2300
c0: -17
skew: 0.37
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, 3150001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 553359 x 553607
Total sieving time: 35.45 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.98 hours.
Time per square root: 0.48 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: 37.01 hours.
 --------- CPU info (if available) ----------

Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

62781445441451616818564035059143036123874728941059853132100717358388208977586896305891358797060339476869927577220075358241557<125>

13441844948815676974407063212244182269<38>
4670597353303283922148986178257089718515718043074093206958869665845680482949383478197753<88>

Number: 76661_158
N=62781445441451616818564035059143036123874728941059853132100717358388208977586896305891358797060339476869927577220075358241557
  ( 125 digits)
SNFS difficulty: 159 digits.
Divisors found:
 r1=13441844948815676974407063212244182269 (pp38)
 r2=4670597353303283922148986178257089718515718043074093206958869665845680482949383478197753 (pp88)
Version: Msieve-1.40
Total time: 35.99 hours.
Scaled time: 86.32 units (timescale=2.398).
Factorization parameters were as follows:
name: 76661_158
n: 62781445441451616818564035059143036123874728941059853132100717358388208977586896305891358797060339476869927577220075358241557
m: 10000000000000000000000000000000
deg: 5
c5: 23000
c0: -17
skew: 0.24
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, 3200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 640046 x 640294
Total sieving time: 34.82 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.94 hours.
Time per square root: 0.15 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: 35.99 hours.
 --------- CPU info (if available) ----------

Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

11157788347534646711977230674104803729864097169867628019484622146330974815728306445067<86>

116196929418465622948054417118637161<36>
96024812388557736989153681024268786028125711838547<50>

GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 11157788347534646711977230674104803729864097169867628019484622146330974815728306445067 (86 digits)
Using B1=970000, B2=871244232, polynomial Dickson(3), sigma=1662823195
Step 1 took 5187ms
Step 2 took 2547ms
********** Factor found in step 2: 116196929418465622948054417118637161
Found probable prime factor of 36 digits: 116196929418465622948054417118637161
Probable prime cofactor 96024812388557736989153681024268786028125711838547 has 50 digits

201374452336863277413293047604119104787755547981723849764110624965930874700460595101693836147577424995590288011<111>

18267902423259939658293872602285994189143<41>
11023403107324439521194147082550423742755233307327936199862416232068077<71>

Number: 76661_160
N=201374452336863277413293047604119104787755547981723849764110624965930874700460595101693836147577424995590288011
  ( 111 digits)
Divisors found:
 r1=18267902423259939658293872602285994189143 (pp41)
 r2=11023403107324439521194147082550423742755233307327936199862416232068077 (pp71)
Version: Msieve-1.40
Total time: 22.41 hours.
Scaled time: 46.59 units (timescale=2.079).
Factorization parameters were as follows:
name: 76661_160
n: 201374452336863277413293047604119104787755547981723849764110624965930874700460595101693836147577424995590288011
skew: 33849.05
# norm 3.35e+15
c5: 60720
c4: 3805412726
c3: -208287051118463
c2: -4204805201120513026
c1: 105350366888466402595448
c0: 765006929958516119641791920
# alpha -6.26
Y1: 381077797549
Y0: -1270962947635963669863
# Murphy_E 8.67e-10
# M 118608646595283962848410654677464278176863000830747569002746750714120803994258453311889407973340583670396062851
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 2400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 409799 x 410047
Polynomial selection time: 1.68 hours.
Total sieving time: 19.99 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.40 hours.
Time per square root: 0.25 hours.
Prototype def-par.txt line would be:
gnfs,110,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 22.41 hours.
 --------- CPU info (if available) ----------

Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

204384882494457707453823021716962009952813520784068308792727324567739489569517346224078473931754537<99>

40171850879476749341179521589574975917<38>
5087763645933355688426784514986056640824676150024081214970861<61>

Number: g3
N=204384882494457707453823021716962009952813520784068308792727324567739489569517346224078473931754537
  ( 99 digits)
Divisors found:
 r1=40171850879476749341179521589574975917 (pp38)
 r2=5087763645933355688426784514986056640824676150024081214970861 (pp61)
Version: Msieve-1.40
Total time: 3.05 hours.
Scaled time: 5.88 units (timescale=1.928).
Factorization parameters were as follows:
name: g3
n: 204384882494457707453823021716962009952813520784068308792727324567739489569517346224078473931754537
skew: 2413.80
# norm 1.63e+013
c5: 108000
c4: 253980290
c3: -3557827867293
c2: -2041305379753898
c1: 5742089914779331846
c0: -848442597896377144920
# alpha -5.04
Y1: 3066398203
Y0: -4522773765362302937
# Murphy_E 4.29e-009
# M 173190097563136543854410754118390792865855970163636333568522048743254867636703547050309758842281697
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 : 231240 x 231482
Polynomial selection time: 0.33 hours.
Total sieving time: 2.58 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
gnfs,98,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 3.05 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

945218427649693831422348251345908848066411868655735010068631077138042986890231373032507294620474253071959889861504952122631816874203756215838573131138782723051<159>

42037340936085976756469619244297397<35>
22485209735002364898887039374938688618411865724363917165852967483126609385261225585106492383819638396100684067896775409060383<125>

Number: 76661_162
N=945218427649693831422348251345908848066411868655735010068631077138042986890231373032507294620474253071959889861504952122631816874203756215838573131138782723051
  ( 159 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=42037340936085976756469619244297397
 r2=22485209735002364898887039374938688618411865724363917165852967483126609385261225585106492383819638396100684067896775409060383
Version: 
Total time: 60.31 hours.
Scaled time: 121.29 units (timescale=2.011).
Factorization parameters were as follows:
n: 945218427649693831422348251345908848066411868655735010068631077138042986890231373032507294620474253071959889861504952122631816874203756215838573131138782723051
m: 100000000000000000000000000000000
deg: 5
c5: 2300
c0: -17
skew: 0.37
type: snfs
lss: 1
rlim: 3700000
alim: 3700000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3700000/3700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1850000, 4050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 577477 x 577725
Total sieving time: 60.31 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,3700000,3700000,27,27,51,51,2.4,2.4,100000
total time: 60.31 hours.
 --------- CPU info (if available) ----------

2351425847893234388605202991794760845320416685337499078471098415319936074341370987390192630134526197352942670918985169996791735020315757028312179344108200431<157>

525489356360232703461442033<27>

4474735443131008618662460508452540282078855721875547467522811386637208723923503501506937414625997423651732578037415522750564221407<130>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=586842896
Step 1 took 7117ms
Step 2 took 3828ms
********** Factor found in step 2: 525489356360232703461442033
Found probable prime factor of 27 digits: 525489356360232703461442033
Composite cofactor has 130 digits

4474735443131008618662460508452540282078855721875547467522811386637208723923503501506937414625997423651732578037415522750564221407<130>

3664727344666035717600284031602424687857082107022953<52>
1221028202723984211211486678887345447408841954197363001286579529748294718330119<79>

Number: 76661_163
N=4474735443131008618662460508452540282078855721875547467522811386637208723923503501506937414625997423651732578037415522750564221407
  ( 130 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=3664727344666035717600284031602424687857082107022953 (pp52)
 r2=1221028202723984211211486678887345447408841954197363001286579529748294718330119 (pp79)
Version: Msieve-1.40
Total time: 50.23 hours.
Scaled time: 162.06 units (timescale=3.226).
Factorization parameters were as follows:
name: 76661_163
n: 4474735443131008618662460508452540282078855721875547467522811386637208723923503501506937414625997423651732578037415522750564221407
m: 100000000000000000000000000000000
deg: 5
c5: 23000
c0: -17
skew: 0.24
type: snfs
lss: 1
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1900000, 4300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 748533 x 748781
Total sieving time: 48.88 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.09 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,164.000,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 50.23 hours.
 --------- CPU info (if available) ----------

Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

78344873613970125615807836182430287228461281274661695523867571490683777520820698544004041303749019560863119<107>

1398828521483565052663992785682652517677<40>
56007489417558752396948031236981384294503806760102571949206055899947<68>

N=78344873613970125615807836182430287228461281274661695523867571490683777520820698544004041303749019560863119
  ( 107 digits)
Divisors found:
 r1=1398828521483565052663992785682652517677 (pp40)
 r2=56007489417558752396948031236981384294503806760102571949206055899947 (pp68)
Version: Msieve-1.40
Total time: 7.41 hours.
Scaled time: 13.67 units (timescale=1.845).
Factorization parameters were as follows:
name: 107
n: 78344873613970125615807836182430287228461281274661695523867571490683777520820698544004041303749019560863119
skew: 22239.22
# norm 1.13e+015
c5: 40320
c4: 2239062970
c3: -83247073643997
c2: -1270945497712701197
c1: 19189992728702462318073
c0: -48446584603547532082198427
# alpha -6.60
Y1: 94578987877
Y0: -286877456676543628002
# Murphy_E 1.46e-009
# M 64282164067234324273319288170187560209633408741540600073955567917271669993786962074759199358849530908451280
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 323522 x 323747
Total sieving time: 7.19 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
gnfs,106,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 7.41 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

7855256903078004364021293429533312726153853498888477234884217918066220310206335605061178815015245194751299815157556389032664951<127>

26280409962072781797340946561<29>
48850025924456804664319906844398801<35>
6118760561463334223069025510319538081309707764571812468539973191<64>

GMP-ECM 6.2.3 [powered by GMP 5.0.0] [ECM]
Input number is 7855256903078004364021293429533312726153853498888477234884217918066220310206335605061178815015245194751299815157556389032664951 (127 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2502790169
Step 1 took 3317ms
Step 2 took 2069ms
********** Factor found in step 2: 26280409962072781797340946561
Found probable prime factor of 29 digits: 26280409962072781797340946561
Composite cofactor 298901612053027750536731438141465083146424732394720976884848088813068272812473238319643629052543991 has 99 digits

Number: 76661_165
N=298901612053027750536731438141465083146424732394720976884848088813068272812473238319643629052543991
  ( 99 digits)
Divisors found:
 r1=48850025924456804664319906844398801
 r2=6118760561463334223069025510319538081309707764571812468539973191
Version: 
Total time: 2.06 hours.
Scaled time: 4.92 units (timescale=2.387).
Factorization parameters were as follows:
name: 76661_165
n: 298901612053027750536731438141465083146424732394720976884848088813068272812473238319643629052543991
skew: 10937.31
# norm 7.27e+13
c5: 21840
c4: -460302348
c3: -7848880403300
c2: 57145098247610023
c1: 365741713169510423716
c0: -556529066329403712413931
# alpha -6.40
Y1: 1743519019
Y0: -6718241320848326360
# Murphy_E 4.04e-09
# M 153768546492080771333699297880097325367663157251691763058604161186000213403928363592773448240023736
type: gnfs
rlim: 1000000
alim: 1000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [500000, 900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 3967271
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 178918 x 179166
Polynomial selection time: 0.14 hours.
Total sieving time: 1.68 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
gnfs,98,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1000000,1000000,26,26,49,49,2.5,2.5,50000
total time: 2.06 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046640k/8912896k available (2550k kernel code, 339524k reserved, 1291k data, 208k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5345.56 BogoMIPS (lpj=2672784)
Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672377)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672342)
Calibrating delay using timer specific routine.. 5344.70 BogoMIPS (lpj=2672353)

GMP-ECM v6.2.3 / GGNFS / Msieve v1.39

Core 2 Quad Q6700

24780893039534453741144883476572617109843741684098905923697294991430645783377262145287166969150802829433740961711031650516551918446258755748713974517<149>

663313218196704676142757391872125835049<39>
37359263104848472944456836700374276380989732882251239918836589246033602367372330374949564473041790112113937133<110>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3205110423
Step 1 took 12253ms
Step 2 took 5804ms
********** Factor found in step 2: 663313218196704676142757391872125835049
Found probable prime factor of 39 digits: 663313218196704676142757391872125835049
Probable prime cofactor 37359263104848472944456836700374276380989732882251239918836589246033602367372330374949564473041790112113937133 has 110 digits

GMP-ECM 6.2.3

23440533430477603100112546216905463474947056729406311385217572441380031344656311408910513242629167703564467654239546093146299982601245117279581521<146>

1410561579054509409638991384309227<34>
16617873177993154911902296858414008126445797948983355245736096766872321435972165965668013643519451718379052895923<113>

Number: 76661_168
N=23440533430477603100112546216905463474947056729406311385217572441380031344656311408910513242629167703564467654239546093146299982601245117279581521
  ( 146 digits)
SNFS difficulty: 169 digits.
Divisors found:
 r1=1410561579054509409638991384309227 (pp34)
 r2=16617873177993154911902296858414008126445797948983355245736096766872321435972165965668013643519451718379052895923 (pp113)
Version: Msieve-1.40
Total time: 84.90 hours.
Scaled time: 173.88 units (timescale=2.048).
Factorization parameters were as follows:
name: 76661_168
n: 23440533430477603100112546216905463474947056729406311385217572441380031344656311408910513242629167703564467654239546093146299982601245117279581521
m: 1000000000000000000000000000000000
deg: 5
c5: 23000
c0: -17
skew: 0.24
type: snfs
lss: 1
rlim: 4700000
alim: 4700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4700000/4700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2350000, 5750001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 979385 x 979633
Total sieving time: 81.59 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 2.32 hours.
Time per square root: 0.84 hours.
Prototype def-par.txt line would be:
snfs,169.000,5,0,0,0,0,0,0,0,0,4700000,4700000,27,27,52,52,2.4,2.4,100000
total time: 84.90 hours.
 --------- CPU info (if available) ----------

Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

16840538694990620721143452699100902772534107110175822713258606913698514150450652874190155122072009019929507911136717336824533754080636210989238779666358197<155>

498647096749068134873296349400135270108627195971<48>
33772459129477709323591358714030829604808658328695603478141998908761665619955368494047343053942975801738407<107>

Number: 76661_169
N=16840538694990620721143452699100902772534107110175822713258606913698514150450652874190155122072009019929507911136717336824533754080636210989238779666358197
  ( 155 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=498647096749068134873296349400135270108627195971 (pp48)
 r2=33772459129477709323591358714030829604808658328695603478141998908761665619955368494047343053942975801738407 (pp107)
Version: Msieve-1.40
Total time: 92.00 hours.
Scaled time: 214.46 units (timescale=2.331).
Factorization parameters were as follows:
name: 76661_169
n: 16840538694990620721143452699100902772534107110175822713258606913698514150450652874190155122072009019929507911136717336824533754080636210989238779666358197
m: 1000000000000000000000000000000000
deg: 5
c5: 230000
c0: -17
skew: 0.15
type: snfs
lss: 1
rlim: 4800000
alim: 4800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2400000, 6100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1015196 x 1015444
Total sieving time: 88.63 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 2.50 hours.
Time per square root: 0.73 hours.
Prototype def-par.txt line would be:
snfs,170.000,5,0,0,0,0,0,0,0,0,4800000,4800000,27,27,52,52,2.4,2.4,100000
total time: 92.00 hours.
 --------- CPU info (if available) ----------

Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

10738410515985276963616778741742732864436025857368239129597963168383002404395551931663672758424215577336082131018156212103<122>

256551639470963681939334137657421937474915785308921911043147<60>
41856721469911487512414942987770398151901336390560772704285749<62>

Number: 76661_170
N = 10738410515985276963616778741742732864436025857368239129597963168383002404395551931663672758424215577336082131018156212103 (122 digits)
SNFS difficulty: 172 digits.
Divisors found:
r1=256551639470963681939334137657421937474915785308921911043147 (pp60)
r2=41856721469911487512414942987770398151901336390560772704285749 (pp62)
Version: Msieve v. 1.43
Total time: 42.13 hours.
Factorization parameters were as follows:
n: 10738410515985276963616778741742732864436025857368239129597963168383002404395551931663672758424215577336082131018156212103 
m: 10000000000000000000000000000000000 
deg: 5 
c5: 23 
c0: -17 
skew: 0.94 
type: snfs 
lss: 1 
rlim: 5000000 
alim: 5000000 
lpbr: 27 
lpba: 27 
mfbr: 52 
mfba: 52 
rlambda: 2.4 
alambda: 2.4
qintsize: 100000
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Sieved rational special-q in [2500000, 5200000)
Total raw relations: 11805524
Relations: 1150128 relations
Pruned matrix : 740625 x 740854
Polynomial selection time: 0.00 hours.
Total sieving time: 40.38 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.50 hours.
time per square root: 0.15 hours.
Prototype def-par.txt line would be: snfs,172,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.4,2.4,100000
total time: 42.13 hours.
 --------- CPU info (if available) ----------
.)

GGNFS + Msieve

Command Prompt (with Python 3.1.1)

167647382770758905890749762181801467912739389942628774395817817030481019789921739351098763405087712291487653332849739181939081<126>

5644791000106871925756787261282977137391179<43>
29699484492443540387776709808421946398807884186657643079779721979734126210237618939<83>

~40 hours of sieving, 19M relations

Msieve v. 1.44
Sat Feb 13 00:54:21 2010
random seeds: 607a6a74 3552d5a9
factoring 167647382770758905890749762181801467912739389942628774395817817030481019789921739351098763405087712291487653332849739181939081 (126 digits)
searching for 15-digit factors
commencing number field sieve (126-digit input)
R0: -10000000000000000000000000000000000
R1:  1
A0: -17
A1:  0
A2:  0
A3:  0
A4:  0
A5:  230
skew 0.59, size 4.512446e-12, alpha 0.625341, combined = 2.056740e-10

commencing relation filtering
estimated available RAM is 8010.2 MB
commencing duplicate removal, pass 1
found 2147205 hash collisions in 19750121 relations
added 6575 free relations
commencing duplicate removal, pass 2
found 1723515 duplicates and 18033181 unique relations
memory use: 98.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 376.5 MB
reading all ideals from disk
memory use: 535.8 MB
keeping 19493259 ideals with weight <= 200, target excess is 116010
commencing in-memory singleton removal
begin with 18033181 relations and 19493259 unique ideals
reduce to 7435847 relations and 6462278 ideals in 15 passes
max relations containing the same ideal: 102
removing 1991930 relations and 1591930 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 5443917 relations and 6462278 unique ideals
reduce to 5110401 relations and 4515133 ideals in 10 passes
max relations containing the same ideal: 76
removing 1503186 relations and 1103186 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 3607215 relations and 4515133 unique ideals
reduce to 3312878 relations and 3094646 ideals in 9 passes
max relations containing the same ideal: 64
removing 443972 relations and 360312 ideals in 83660 cliques
commencing in-memory singleton removal
begin with 2868906 relations and 3094646 unique ideals
reduce to 2827495 relations and 2691970 ideals in 7 passes
max relations containing the same ideal: 58
relations with 0 large ideals: 2882
relations with 1 large ideals: 2314
relations with 2 large ideals: 31084
relations with 3 large ideals: 170216
relations with 4 large ideals: 484911
relations with 5 large ideals: 788496
relations with 6 large ideals: 773372
relations with 7+ large ideals: 574220
commencing 2-way merge
reduce to 1744485 relation sets and 1608959 unique ideals
commencing full merge
memory use: 193.5 MB
found 885477 cycles, need 867159
weight of 867159 cycles is about 60801525 (70.12/cycle)
distribution of cycle lengths:
1 relations: 101263
2 relations: 94882
3 relations: 95934
4 relations: 91025
5 relations: 86136
6 relations: 75870
7 relations: 65727
8 relations: 56100
9 relations: 46866
10+ relations: 153356
heaviest cycle: 20 relations
commencing cycle optimization
start with 5048640 relations
pruned 131196 relations
memory use: 164.8 MB
distribution of cycle lengths:
1 relations: 101263
2 relations: 96881
3 relations: 99038
4 relations: 93492
5 relations: 88650
6 relations: 77523
7 relations: 66799
8 relations: 56386
9 relations: 46768
10+ relations: 140359
heaviest cycle: 20 relations
RelProcTime: 452

commencing linear algebra
read 867159 cycles
cycles contain 2725956 unique relations
read 2725956 relations
using 20 quadratic characters above 268434774
building initial matrix
memory use: 341.4 MB
read 867159 cycles
matrix is 866980 x 867159 (259.0 MB) with weight 76990144 (88.78/col)
sparse part has weight 58362038 (67.30/col)
filtering completed in 2 passes
matrix is 866022 x 866201 (258.9 MB) with weight 76954201 (88.84/col)
sparse part has weight 58346879 (67.36/col)
read 866201 cycles
matrix is 866022 x 866201 (258.9 MB) with weight 76954201 (88.84/col)
sparse part has weight 58346879 (67.36/col)
saving the first 48 matrix rows for later
matrix is 865974 x 866201 (245.7 MB) with weight 60877968 (70.28/col)
sparse part has weight 55757747 (64.37/col)
matrix includes 64 packed rows
using block size 65536 for processor cache size 4096 kB
commencing Lanczos iteration (4 threads)
memory use: 259.1 MB
linear algebra at 0.2%, ETA 0h47m866201 dimensions (0.2%, ETA 0h47m)
linear algebra completed 865616 of 866201 dimensions (99.9%, ETA 0h 0m)
lanczos halted after 13694 iterations (dim = 865972)
recovered 37 nontrivial dependencies
BLanczosTime: 2952

commencing square root phase
reading relations for dependency 1
read 432280 cycles
cycles contain 1362694 unique relations
read 1362694 relations
multiplying 1362694 relations
multiply complete, coefficients have about 39.99 million bits
initial square root is modulo 551911
reading relations for dependency 2
read 433276 cycles
cycles contain 1361630 unique relations
read 1361630 relations
multiplying 1361630 relations
multiply complete, coefficients have about 39.96 million bits
initial square root is modulo 546691
sqrtTime: 340
prp43 factor: 5644791000106871925756787261282977137391179
prp83 factor: 29699484492443540387776709808421946398807884186657643079779721979734126210237618939
elapsed time 01:02:25

Core 2 Q6700, Linux 64 bit

5538180640773150030265339518087748067181051065216158336589382079210024736389050638629509998477810082302025942450142106536510669794866670073<139>

1508838426399182560176851752847016015086998061<46>
3670492839972219332445888797584876908812133151992871042929839825922568768668405819612988666493<94>

Number: 76661_172
N=5538180640773150030265339518087748067181051065216158336589382079210024736389050638629509998477810082302025942450142106536510669794866670073
  ( 139 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=1508838426399182560176851752847016015086998061
 r2=3670492839972219332445888797584876908812133151992871042929839825922568768668405819612988666493
Version: 
Total time: 128.05 hours.
Scaled time: 257.76 units (timescale=2.013).
Factorization parameters were as follows:
n: 5538180640773150030265339518087748067181051065216158336589382079210024736389050638629509998477810082302025942450142106536510669794866670073
m: 10000000000000000000000000000000000
deg: 5
c5: 2300
c0: -17
skew: 0.37
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2700000, 7000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 965688 x 965936
Total sieving time: 128.05 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,5400000,5400000,27,27,52,52,2.4,2.4,100000
total time: 128.05 hours.
 --------- CPU info (if available) ----------

413887923583949672858744519743879114101736989943425008375232277958027985808243424948543302790550840362366952778754500267252542636177340686921526099<147>

1730036980861316846035298146795031770853<40>
239236460354674776587381037439765204764022521120441580108950019952440791654092489651268074890753236136820183<108>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1016976895
Step 1 took 69387ms
********** Factor found in step 1: 1730036980861316846035298146795031770853
Found probable prime factor of 40 digits: 1730036980861316846035298146795031770853
Probable prime cofactor 239236460354674776587381037439765204764022521120441580108950019952440791654092489651268074890753236136820183 has 108 digits

GMP-ECM 6.3

4332665696339656968378809480706657023202707261817337701310508605113678509221112042556221023417001554204281543078441756845642808254512409545313<142>

107023479120625975840452759770379697498845829<45>
40483319472882366790763458087671170136324575194711634768314952623948788968421708550057121486673197<98>

N = 4332665696339656968378809480706657023202707261817337701310508605113678509221112042556221023417001554204281543078441756845642808254512409545313 (142 digits)
SNFS difficulty: 176 digits.
Divisors found:
r1=107023479120625975840452759770379697498845829 (pp45)
r2=40483319472882366790763458087671170136324575194711634768314952623948788968421708550057121486673197 (pp98)
Version: Msieve v. 1.48
Total time: 40.00 hours.
Factorization parameters were as follows:
name: (23*10^174-17)/3
n: 4332665696339656968378809480706657023202707261817337701310508605113678509221112042556221023417001554204281543078441756845642808254512409545313
Y0: 10000000000000000000000000000000000
Y1: -1
c0: -17
c1: 0
c2: 0
c3: 0
c4: 0
c5: 230000
skew: 0.15
type: snfs
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 21059070
Relations: 2483758 relations
Pruned matrix : 1425402 x 1425627
Polynomial selection time: 0.00 hours.
Total sieving time: 37.16 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 2.63 hours.
time per square root: 0.08 hours.
Prototype def-par.txt line would be: snfs,176,5,0,0,0,0,0,0,0,0,6000000,6000000,28,28,55,55,2.5,2.5,100000
total time: 40.00 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

135740710389150685337852608058090296973020407693419372861177041293839615902283262578585422193817774295403755576938144402969946474439204212287925057753037905677830499271<168>

472718059194802214389384662753353<33>

287149407027865091543341595749706986924775219700698584323755470596552588923831476478133554803187008125531318470149362424186865300638607<135>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=2152187097
Step 1 took 7161ms
Step 2 took 3992ms
********** Factor found in step 2: 472718059194802214389384662753353
Found probable prime factor of 33 digits: 472718059194802214389384662753353
Composite cofactor has 135 digits

287149407027865091543341595749706986924775219700698584323755470596552588923831476478133554803187008125531318470149362424186865300638607<135>

9537773734512989505446514842557846151<37>
569125527850872723245613285880525835804303<42>
52899655315452029856923865037461719664091308476908632119<56>

GMP-ECM 6.2.3 [powered by GMP 4.2.1_MPIR_1.1.1] [ECM]
Input number is 287149407027865091543341595749706986924775219700698584323755470596552588923831476478133554803187008125531318470149362424186865300638607 (135 digits)
Run 81 out of 786:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1513561075
Step 1 took 11938ms
Step 2 took 8391ms
********** Factor found in step 2: 9537773734512989505446514842557846151
Found probable prime factor of 37 digits: 9537773734512989505446514842557846151
Composite cofactor 30106544254535861512554480072535782917736868280032661341953517370246158240464284112193337904208057 has 98 digits
----------------------------------------
Number: c98
N=30106544254535861512554480072535782917736868280032661341953517370246158240464284112193337904208057
  ( 98 digits)
Divisors found:
 r1=569125527850872723245613285880525835804303 (pp42)
 r2=52899655315452029856923865037461719664091308476908632119 (pp56)
Version: GGNFS-0.77.1-VC8(Sat
Total time: 4.06 hours.
Scaled time: 4.47 units (timescale=1.100).
Factorization parameters were as follows:
name: c98
n: 30106544254535861512554480072535782917736868280032661341953517370246158240464284112193337904208057
skew: 7753.45
# norm 5.82e+013
c5: 14820
c4: -96805706
c3: -6704483263784
c2: 3882169900884421
c1: 110835519764663153310
c0: 98698783376680751402640
# alpha -5.70
Y1: 465491257
Y0: -4587357624800029019
# Murphy_E 4.25e-009
# M 18839392939585923536131693030136882920831779622881298812291964327452887272188536103711602345841067
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, 1400001)
Primes: RFBsize:135072, AFBsize:134983, largePrimes:3994052 encountered
Relations: rels:4154653, finalFF:520553
Max relations in full relation-set: 32
Initial matrix: 270144 x 520553 with sparse part having weight 39952135.
Pruned matrix : 141652 x 143066 with weight 12988968.
Total sieving time: 3.66 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
gnfs,97,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 4.06 hours.
 --------- CPU info (if available) ----------

GMP-ECM 6.2.3, GGNFS w/factLat.pl

Core 2 Duo 2.2Ghz, Windows XP 32-bit, Cygwin

1040796718100272037315490686822881989831627499117494267499975310447757812314083743999650206202221527344574945749386471231604074518572041888427276078601575756653059329<166>

384244222169011653847548610477584947845112099071844530603394077<63>
2708685409048187682519095304148490787886663247066314144817798370991489248445307710143766983506567700277<103>

Number: n
N=1040796718100272037315490686822881989831627499117494267499975310447757812314083743999650206202221527344574945749386471231604074518572041888427276078601575756653059329
  ( 166 digits)
SNFS difficulty: 178 digits.
Divisors found:

Wed Jan 11 11:31:21 2012  prp63 factor: 384244222169011653847548610477584947845112099071844530603394077
Wed Jan 11 11:31:21 2012  prp103 factor: 2708685409048187682519095304148490787886663247066314144817798370991489248445307710143766983506567700277
Wed Jan 11 11:31:21 2012  elapsed time 02:37:10 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.648).
Factorization parameters were as follows:
name: KA_76661_177
n: 1040796718100272037315490686822881989831627499117494267499975310447757812314083743999650206202221527344574945749386471231604074518572041888427276078601575756653059329
m: 100000000000000000000000000000000000
deg: 5
c5: 2300
c0: -17
skew: 0.37
type: snfs
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 17200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7807683 hash collisions in 75000097 relations
Msieve: matrix is 1203040 x 1203269 (336.4 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,178,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.06 BogoMIPS (lpj=2797533)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44760.82 BogoMIPS).

149964169615169257056776070138169102984240225642036008317970009470309033192102359736609896041531890851849668532924464240305996750196898227573283712875922364323987763844409<171>

1860302165873576029248345000925372720209705910496591604241056632869502158841<76>
80612801708343894677893259423371860241288805454465299879885967864514650168137384994081414973249<95>

Number: n
N=149964169615169257056776070138169102984240225642036008317970009470309033192102359736609896041531890851849668532924464240305996750196898227573283712875922364323987763844409
  ( 171 digits)
SNFS difficulty: 179 digits.
Divisors found:

Thu Jan 19 13:26:51 2012  prp76 factor: 1860302165873576029248345000925372720209705910496591604241056632869502158841
Thu Jan 19 13:26:51 2012  prp95 factor: 80612801708343894677893259423371860241288805454465299879885967864514650168137384994081414973249
Thu Jan 19 13:26:51 2012  elapsed time 02:37:30 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.660).
Factorization parameters were as follows:
name: KA_76661_178
n: 149964169615169257056776070138169102984240225642036008317970009470309033192102359736609896041531890851849668532924464240305996750196898227573283712875922364323987763844409
m: 100000000000000000000000000000000000
deg: 5
c5: 23000
c0: -17
skew: 0.24
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 9000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8483350 hash collisions in 75753032 relations
Msieve: matrix is 1195121 x 1195348 (334.2 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,179,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.06 BogoMIPS (lpj=2797533)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44760.82 BogoMIPS).

10541223453788075164572400694945160962236709594802688476007112105331687239267134031462514635647642195359172135627118190914808223325155228272040231507625793916453<161>

416913545165184067131644770048085344713983339<45>
25283955333261164708499649848231945177781283366188496464137899998162250264961462891463518520245546385172495866711727<116>

Number: 76661_181
N = 10541223453788075164572400694945160962236709594802688476007112105331687239267134031462514635647642195359172135627118190914808223325155228272040231507625793916453 (161 digits)
SNFS difficulty: 183 digits.
Divisors found:
r1=416913545165184067131644770048085344713983339 (pp45)
r2=25283955333261164708499649848231945177781283366188496464137899998162250264961462891463518520245546385172495866711727 (pp116)
Version: Msieve v. 1.52 (SVN 959M)
Total time: 9.77 hours.
Factorization parameters were as follows:
n: 10541223453788075164572400694945160962236709594802688476007112105331687239267134031462514635647642195359172135627118190914808223325155228272040231507625793916453
m: 1000000000000000000000000000000000000
deg: 5
c5: 230
c0: -17
skew: 0.59
# Murphy_E = 8.177e-11
type: snfs
lss: 1
rlim: 7700000
alim: 7700000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7700000/7700000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 19167848
Relations: 2550480 relations
Pruned matrix : 1538243 x 1538470
Polynomial selection time: 0.00 hours.
Total sieving time: 8.89 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.73 hours.
time per square root: 0.05 hours.
Prototype def-par.txt line would be: snfs,183,5,0,0,0,0,0,0,0,0,7700000,7700000,28,28,53,53,2.5,2.5,200000
total time: 9.77 hours.
Intel64 Family 6 Model 62 Stepping 4, GenuineIntel
Windows-7-6.1.7600
processors: 12, speed: 3.40GHz

10775724797621229703319137346633969744360312426492280582313983734436966200753842533274700272160607174424160142000439940047802708135478727667445053489971705242379338317930629435057<179>

39279695012332609960395412501<29>
274333209416162351372792812334063284574243153532679403359656339835539130683354297236894202042587507288637434163858922272217134948764585815873184672557<150>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=515882257
Step 1 took 8360ms
Step 2 took 4368ms
********** Factor found in step 2: 39279695012332609960395412501
Found probable prime factor of 29 digits: 39279695012332609960395412501
Probable prime cofactor has 150 digits

7666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666661<187>

6590494819276942551471943658854738364545467539380326421477<58>
1163291509499706011060922935368667887185417768234461414351514520706517442569815598145249885922404725190611710956058068857547820993<130>

N=7666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666661
  ( 187 digits)
SNFS difficulty: 187 digits.
Divisors found:
 r1=6590494819276942551471943658854738364545467539380326421477 (pp58)
 r2=1163291509499706011060922935368667887185417768234461414351514520706517442569815598145249885922404725190611710956058068857547820993 (pp130)
Version: Msieve-1.40
Total time: 248.44 hours.
Scaled time: 460.85 units (timescale=1.855).
Factorization parameters were as follows:
n: 7666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666661
m: 10000000000000000000000000000000000000
deg: 5
c5: 230
c0: -17
skew: 0.59
type: snfs
lss: 1
rlim: 9300000
alim: 9300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 300000Factor base limits: 9300000/9300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4650000, 8550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1586585 x 1586810
Total sieving time: 244.77 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 3.25 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
snfs,187.000,5,0,0,0,0,0,0,0,0,9300000,9300000,28,28,54,54,2.5,2.5,100000
total time: 248.44 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

4157114840626553134196800242755928489132587026854169072498601062128176201903089329834256442761589145653888921615895967803765439393320446368783917512401492204910395295647449074467<178>

65945013148579136685630293768543<32>

63039108526072423580554962906640812964015329228435321857433788897455245667201488819080105940713402396691824472162024673523947893932571023816315069<146>

GMP-ECM 6.2.3 [powered by GMP 4.2.1_MPIR_1.1.1] [ECM]
Input number is 4157114840626553134196800242755928489132587026854169072498601062128176201903089329834256442761589145653888921615895967803765439393320446368783917512401492204910395295647449074467 (178 digits)
Run 9 out of 786:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3092794287
Step 1 took 19484ms
Step 2 took 12359ms
********** Factor found in step 2: 65945013148579136685630293768543
Found probable prime factor of 32 digits: 65945013148579136685630293768543
Composite cofactor 63039108526072423580554962906640812964015329228435321857433788897455245667201488819080105940713402396691824472162024673523947893932571023816315069 has 146 digits

GMP-ECM 6.2.3

Core 2 Duo 2.2Ghz, Windows XP 32-bit, Cygwin

63039108526072423580554962906640812964015329228435321857433788897455245667201488819080105940713402396691824472162024673523947893932571023816315069<146>

326206796221323550680061615792526631365518681<45>
288393012953163445613953022602265083605113101801<48>
670088745332447135477207762988436581366489937064495549<54>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=574083510
Step 1 took 16374ms
Step 2 took 7389ms
********** Factor found in step 2: 326206796221323550680061615792526631365518681
Found probable prime factor of 45 digits: 326206796221323550680061615792526631365518681
Composite cofactor 193248912212429468099249996658469784934033549896987280855182284582717776625165511148565745244748383749 has 102 digits

N=193248912212429468099249996658469784934033549896987280855182284582717776625165511148565745244748383749
  ( 102 digits)
Divisors found:
 r1=288393012953163445613953022602265083605113101801 (pp48)
 r2=670088745332447135477207762988436581366489937064495549 (pp54)
Version: Msieve v. 1.48
Total time: 0.68 hours.
Scaled time: 0.94 units (timescale=1.378).
Factorization parameters were as follows:
name: 102
n: 193248912212429468099249996658469784934033549896987280855182284582717776625165511148565745244748383749
skew: 7343.89
# norm 1.49e+14
c5: 31320
c4: -871537908
c3: 10413380055059
c2: 49382402063125024
c1: -185923137028839863636
c0: -409472142206659786359408
# alpha -6.02
Y1: 61690913999
Y0: -22806865364066144599
# Murphy_E 2.81e-09
# M 180470687138272237306222836645768933861263345595651879522242459826887410122438994504081996376670124644
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1150000, 1750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 226313 x 226547
Polynomial selection time: 0.50 hours.
Total sieving time: 0.00 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
gnfs,101,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 0.68 hours.

709462173393446060113972564752605229626718111110569610817009208537573480442785123998096004301939366603737993159608623630083246065346525504078070721136354273394970103404297006499<177>

298887917904108210134974398572059665679<39>
107703536067924852449977268653054481284733<42>
22038951199081614395796817385581966517581985773363524023075034418187079730018530225714798002828657<98>

Number: n
N=709462173393446060113972564752605229626718111110569610817009208537573480442785123998096004301939366603737993159608623630083246065346525504078070721136354273394970103404297006499
  ( 177 digits)
SNFS difficulty: 189 digits.
Divisors found:

Wed Feb 22 15:42:38 2012  prp39 factor: 298887917904108210134974398572059665679
Wed Feb 22 15:42:38 2012  prp42 factor: 107703536067924852449977268653054481284733
Wed Feb 22 15:42:38 2012  prp98 factor: 22038951199081614395796817385581966517581985773363524023075034418187079730018530225714798002828657
Wed Feb 22 15:42:38 2012  elapsed time 04:26:34 (Msieve 1.44 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.657).
Factorization parameters were as follows:
name: KA_76661_188
n: 709462173393446060113972564752605229626718111110569610817009208537573480442785123998096004301939366603737993159608623630083246065346525504078070721136354273394970103404297006499
m: 10000000000000000000000000000000000000
#  c177, diff: 189.36
skew: 0.24
deg: 5
c5: 23000
c0: -17
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 17200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10267896 hash collisions in 79140570 relations (73115800 unique)
Msieve: matrix is 1403204 x 1403433 (394.6 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,189,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.76 BogoMIPS (lpj=2797881)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797552)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Total of 8 processors activated (44761.52 BogoMIPS).

118544967472550446696648588426826705081354259099490395011733603313056368147258323523122004827288367912073409170949<114>

1930700902393363945668225127957933175017<40>
61399964813606283938887511617089989295261277930398661332301204426341687997<74>

Number: 76661_189
N = 118544967472550446696648588426826705081354259099490395011733603313056368147258323523122004827288367912073409170949 (114 digits)
Divisors found:
r1=1930700902393363945668225127957933175017 (pp40)
r2=61399964813606283938887511617089989295261277930398661332301204426341687997 (pp74)
Version: Msieve v. 1.43
Total time: 18.63 hours.
Factorization parameters were as follows:
n: 118544967472550446696648588426826705081354259099490395011733603313056368147258323523122004827288367912073409170949
Y0: -10873197257127232067527
Y1: 387997399903
c0: -9839627163013355424545109372
c1: 607351629672513436012884
c2: -5148131665108106037
c3: -78718193687406
c4: 109959610
c5: 780
skew: 149791.01 
type: gnfs
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [1750000, 2750000)
Relations: 7663932
Relations in full relation-set: 797430 relations
Pruned matrix : 462308 x 462533
Polynomial selection time: 2.29 hours.
Total sieving time: 15.12 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.66 hours.
time per square root: 0.44 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: 18.63 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

60478423047297578358765264712615296830138589622765109585302344494263918179175407628441690874710404093744211768740567105540586560596821398273508047188217723390939354903229<170>

654798063247026599310163123902125490871862574965109309930504591165472665405076087133<84>
92361945524694872303141419557335609101952628673633248498665318495286047830162136588513<86>

Mon Nov 02 15:02:52 2020 -> factmsieve.py (v0.86)
Mon Nov 02 15:02:52 2020 -> This is client 1 of 1
Mon Nov 02 15:02:52 2020 -> Running on 4 Cores with 1 hyper-thread per Core
Mon Nov 02 15:02:52 2020 -> Working with NAME = numto
Mon Nov 02 15:02:52 2020 -> Selected lattice siever: gnfs-lasieve4I13e
Mon Nov 02 15:02:52 2020 -> Creating param file to detect parameter changes...
Mon Nov 02 15:02:52 2020 -> Running setup ...
Mon Nov 02 15:02:52 2020 -> Estimated minimum relations needed: 2.2022e+07
Mon Nov 02 15:02:52 2020 -> cleaning up before a restart
Mon Nov 02 15:02:52 2020 -> Running lattice siever ...
Mon Nov 02 15:02:52 2020 -> entering sieving loop

...

Tue Nov 03 11:15:59 2020 Found 22137999 relations, 100.5% of the estimated minimum (22022019).
Tue Nov 03 11:15:59 2020 -> msieve.gpu.core2 -s 76661_190\numto.dat -l 76661_190\numto.log -i 76661_190\numto.ini -nf 76661_190\numto.fb -t 4 -nc1
Tue Nov  3 11:16:00 2020  
Tue Nov  3 11:16:00 2020  
Tue Nov  3 11:16:00 2020  Msieve v. 1.53 (SVN 998)
Tue Nov  3 11:16:00 2020  random seeds: de70dc20 87f7d83e
Tue Nov  3 11:16:00 2020  factoring 60478423047297578358765264712615296830138589622765109585302344494263918179175407628441690874710404093744211768740567105540586560596821398273508047188217723390939354903229 (170 digits)
Tue Nov  3 11:16:00 2020  searching for 15-digit factors
Tue Nov  3 11:16:00 2020  commencing number field sieve (170-digit input)
Tue Nov  3 11:16:00 2020  R0: -100000000000000000000000000000000000000
Tue Nov  3 11:16:00 2020  R1: 1
Tue Nov  3 11:16:00 2020  A0: -17
Tue Nov  3 11:16:00 2020  A1: 0
Tue Nov  3 11:16:00 2020  A2: 0
Tue Nov  3 11:16:00 2020  A3: 0
Tue Nov  3 11:16:00 2020  A4: 0
Tue Nov  3 11:16:00 2020  A5: 23
Tue Nov  3 11:16:00 2020  skew 0.94, size 3.019e-13, alpha 0.341, combined = 3.889e-11 rroots = 1
Tue Nov  3 11:16:00 2020  
Tue Nov  3 11:16:00 2020  commencing relation filtering
Tue Nov  3 11:16:00 2020  estimated available RAM is 32688.8 MB
Tue Nov  3 11:16:00 2020  commencing duplicate removal, pass 1
Tue Nov  3 11:19:18 2020  found 3223345 hash collisions in 22137998 relations
Tue Nov  3 11:19:42 2020  added 715704 free relations
Tue Nov  3 11:19:42 2020  commencing duplicate removal, pass 2
Tue Nov  3 11:19:49 2020  found 2885285 duplicates and 19968417 unique relations
Tue Nov  3 11:19:49 2020  memory use: 98.6 MB
Tue Nov  3 11:19:49 2020  reading ideals above 720000
Tue Nov  3 11:19:49 2020  commencing singleton removal, initial pass
Tue Nov  3 11:22:27 2020  memory use: 689.0 MB
Tue Nov  3 11:22:27 2020  reading all ideals from disk
Tue Nov  3 11:22:27 2020  memory use: 638.2 MB
Tue Nov  3 11:22:28 2020  keeping 21667879 ideals with weight <= 200, target excess is 116682
Tue Nov  3 11:22:28 2020  commencing in-memory singleton removal
Tue Nov  3 11:22:29 2020  begin with 19968417 relations and 21667879 unique ideals
Tue Nov  3 11:22:37 2020  reduce to 8818558 relations and 8326636 ideals in 18 passes
Tue Nov  3 11:22:37 2020  max relations containing the same ideal: 116
Tue Nov  3 11:22:39 2020  removing 1322962 relations and 1144677 ideals in 178285 cliques
Tue Nov  3 11:22:40 2020  commencing in-memory singleton removal
Tue Nov  3 11:22:40 2020  begin with 7495596 relations and 8326636 unique ideals
Tue Nov  3 11:22:42 2020  reduce to 7326434 relations and 7008031 ideals in 9 passes
Tue Nov  3 11:22:42 2020  max relations containing the same ideal: 99
Tue Nov  3 11:22:44 2020  removing 1003128 relations and 824843 ideals in 178285 cliques
Tue Nov  3 11:22:45 2020  commencing in-memory singleton removal
Tue Nov  3 11:22:45 2020  begin with 6323306 relations and 7008031 unique ideals
Tue Nov  3 11:22:47 2020  reduce to 6209644 relations and 6066656 ideals in 10 passes
Tue Nov  3 11:22:47 2020  max relations containing the same ideal: 91
Tue Nov  3 11:22:49 2020  relations with 0 large ideals: 2946
Tue Nov  3 11:22:49 2020  relations with 1 large ideals: 896
Tue Nov  3 11:22:49 2020  relations with 2 large ideals: 16411
Tue Nov  3 11:22:49 2020  relations with 3 large ideals: 126556
Tue Nov  3 11:22:49 2020  relations with 4 large ideals: 518262
Tue Nov  3 11:22:49 2020  relations with 5 large ideals: 1230263
Tue Nov  3 11:22:49 2020  relations with 6 large ideals: 1812808
Tue Nov  3 11:22:49 2020  relations with 7+ large ideals: 2501502
Tue Nov  3 11:22:49 2020  commencing 2-way merge
Tue Nov  3 11:22:52 2020  reduce to 3736706 relation sets and 3593718 unique ideals
Tue Nov  3 11:22:52 2020  commencing full merge
Tue Nov  3 11:23:30 2020  memory use: 447.3 MB
Tue Nov  3 11:23:30 2020  found 1923320 cycles, need 1899918
Tue Nov  3 11:23:30 2020  weight of 1899918 cycles is about 133324594 (70.17/cycle)
Tue Nov  3 11:23:30 2020  distribution of cycle lengths:
Tue Nov  3 11:23:30 2020  1 relations: 257057
Tue Nov  3 11:23:30 2020  2 relations: 229852
Tue Nov  3 11:23:30 2020  3 relations: 215921
Tue Nov  3 11:23:30 2020  4 relations: 191223
Tue Nov  3 11:23:30 2020  5 relations: 172690
Tue Nov  3 11:23:30 2020  6 relations: 148270
Tue Nov  3 11:23:30 2020  7 relations: 128437
Tue Nov  3 11:23:30 2020  8 relations: 111250
Tue Nov  3 11:23:30 2020  9 relations: 94271
Tue Nov  3 11:23:30 2020  10+ relations: 350947
Tue Nov  3 11:23:30 2020  heaviest cycle: 22 relations
Tue Nov  3 11:23:31 2020  commencing cycle optimization
Tue Nov  3 11:23:32 2020  start with 10982263 relations
Tue Nov  3 11:23:43 2020  pruned 261033 relations
Tue Nov  3 11:23:43 2020  memory use: 361.4 MB
Tue Nov  3 11:23:43 2020  distribution of cycle lengths:
Tue Nov  3 11:23:43 2020  1 relations: 257057
Tue Nov  3 11:23:43 2020  2 relations: 234585
Tue Nov  3 11:23:43 2020  3 relations: 223174
Tue Nov  3 11:23:43 2020  4 relations: 195475
Tue Nov  3 11:23:43 2020  5 relations: 176314
Tue Nov  3 11:23:43 2020  6 relations: 150333
Tue Nov  3 11:23:43 2020  7 relations: 129911
Tue Nov  3 11:23:43 2020  8 relations: 111332
Tue Nov  3 11:23:43 2020  9 relations: 93668
Tue Nov  3 11:23:43 2020  10+ relations: 328069
Tue Nov  3 11:23:43 2020  heaviest cycle: 22 relations
Tue Nov  3 11:23:45 2020  RelProcTime: 465
Tue Nov  3 11:23:45 2020  elapsed time 00:07:45
Tue Nov 03 11:23:45 2020 LatSieveTime: 1158.44
Tue Nov 03 11:23:45 2020 -> Running matrix solving step ...
Tue Nov 03 11:23:45 2020 -> msieve.gpu.core2 -s 76661_190\numto.dat -l 76661_190\numto.log -i 76661_190\numto.ini -nf 76661_190\numto.fb -t 4 -nc2
Tue Nov  3 11:23:45 2020  
Tue Nov  3 11:23:45 2020  
Tue Nov  3 11:23:45 2020  Msieve v. 1.53 (SVN 998)
Tue Nov  3 11:23:45 2020  random seeds: 3cf12b10 a0a5968c
Tue Nov  3 11:23:45 2020  factoring 60478423047297578358765264712615296830138589622765109585302344494263918179175407628441690874710404093744211768740567105540586560596821398273508047188217723390939354903229 (170 digits)
Tue Nov  3 11:23:45 2020  searching for 15-digit factors
Tue Nov  3 11:23:46 2020  commencing number field sieve (170-digit input)
Tue Nov  3 11:23:46 2020  R0: -100000000000000000000000000000000000000
Tue Nov  3 11:23:46 2020  R1: 1
Tue Nov  3 11:23:46 2020  A0: -17
Tue Nov  3 11:23:46 2020  A1: 0
Tue Nov  3 11:23:46 2020  A2: 0
Tue Nov  3 11:23:46 2020  A3: 0
Tue Nov  3 11:23:46 2020  A4: 0
Tue Nov  3 11:23:46 2020  A5: 23
Tue Nov  3 11:23:46 2020  skew 0.94, size 3.019e-13, alpha 0.341, combined = 3.889e-11 rroots = 1
Tue Nov  3 11:23:46 2020  
Tue Nov  3 11:23:46 2020  commencing linear algebra
Tue Nov  3 11:23:46 2020  read 1899918 cycles
Tue Nov  3 11:23:48 2020  cycles contain 6030276 unique relations
Tue Nov  3 11:24:28 2020  read 6030276 relations
Tue Nov  3 11:24:34 2020  using 20 quadratic characters above 4294917295
Tue Nov  3 11:24:54 2020  building initial matrix
Tue Nov  3 11:25:29 2020  memory use: 758.2 MB
Tue Nov  3 11:25:30 2020  read 1899918 cycles
Tue Nov  3 11:25:31 2020  matrix is 1899737 x 1899918 (569.8 MB) with weight 171388401 (90.21/col)
Tue Nov  3 11:25:31 2020  sparse part has weight 128458366 (67.61/col)
Tue Nov  3 11:25:40 2020  filtering completed in 2 passes
Tue Nov  3 11:25:40 2020  matrix is 1897650 x 1897830 (569.6 MB) with weight 171311505 (90.27/col)
Tue Nov  3 11:25:40 2020  sparse part has weight 128430391 (67.67/col)
Tue Nov  3 11:25:43 2020  matrix starts at (0, 0)
Tue Nov  3 11:25:43 2020  matrix is 1897650 x 1897830 (569.6 MB) with weight 171311505 (90.27/col)
Tue Nov  3 11:25:43 2020  sparse part has weight 128430391 (67.67/col)
Tue Nov  3 11:25:43 2020  saving the first 48 matrix rows for later
Tue Nov  3 11:25:43 2020  matrix includes 64 packed rows
Tue Nov  3 11:25:44 2020  matrix is 1897602 x 1897830 (543.0 MB) with weight 135801244 (71.56/col)
Tue Nov  3 11:25:44 2020  sparse part has weight 123363635 (65.00/col)
Tue Nov  3 11:25:44 2020  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Tue Nov  3 11:25:49 2020  commencing Lanczos iteration (4 threads)
Tue Nov  3 11:25:49 2020  memory use: 435.7 MB
Tue Nov  3 11:25:52 2020  linear algebra at 0.1%, ETA 1h 2m
Tue Nov  3 11:25:52 2020  checkpointing every 2430000 dimensions
Tue Nov  3 12:14:38 2020  lanczos halted after 30010 iterations (dim = 1897600)
Tue Nov  3 12:14:39 2020  recovered 35 nontrivial dependencies
Tue Nov  3 12:14:39 2020  BLanczosTime: 3053
Tue Nov  3 12:14:39 2020  elapsed time 00:50:54
Tue Nov 03 12:14:39 2020 -> Running square root step ...
Tue Nov 03 12:14:39 2020 -> msieve.gpu.core2 -s 76661_190\numto.dat -l 76661_190\numto.log -i 76661_190\numto.ini -nf 76661_190\numto.fb -t 4 -nc3
Tue Nov  3 12:14:39 2020  
Tue Nov  3 12:14:39 2020  
Tue Nov  3 12:14:39 2020  Msieve v. 1.53 (SVN 998)
Tue Nov  3 12:14:39 2020  random seeds: a7c7d1b8 de0822f8
Tue Nov  3 12:14:39 2020  factoring 60478423047297578358765264712615296830138589622765109585302344494263918179175407628441690874710404093744211768740567105540586560596821398273508047188217723390939354903229 (170 digits)
Tue Nov  3 12:14:40 2020  searching for 15-digit factors
Tue Nov  3 12:14:40 2020  commencing number field sieve (170-digit input)
Tue Nov  3 12:14:40 2020  R0: -100000000000000000000000000000000000000
Tue Nov  3 12:14:40 2020  R1: 1
Tue Nov  3 12:14:40 2020  A0: -17
Tue Nov  3 12:14:40 2020  A1: 0
Tue Nov  3 12:14:40 2020  A2: 0
Tue Nov  3 12:14:40 2020  A3: 0
Tue Nov  3 12:14:40 2020  A4: 0
Tue Nov  3 12:14:40 2020  A5: 23
Tue Nov  3 12:14:40 2020  skew 0.94, size 3.019e-13, alpha 0.341, combined = 3.889e-11 rroots = 1
Tue Nov  3 12:14:40 2020  
Tue Nov  3 12:14:40 2020  commencing square root phase
Tue Nov  3 12:14:40 2020  reading relations for dependency 1
Tue Nov  3 12:14:40 2020  read 948564 cycles
Tue Nov  3 12:14:41 2020  cycles contain 3012676 unique relations
Tue Nov  3 12:15:02 2020  read 3012676 relations
Tue Nov  3 12:15:11 2020  multiplying 3012676 relations
Tue Nov  3 12:16:01 2020  multiply complete, coefficients have about 81.58 million bits
Tue Nov  3 12:16:02 2020  initial square root is modulo 717331
Tue Nov  3 12:17:05 2020  sqrtTime: 145
Tue Nov  3 12:17:05 2020  p84 factor: 654798063247026599310163123902125490871862574965109309930504591165472665405076087133
Tue Nov  3 12:17:05 2020  p86 factor: 92361945524694872303141419557335609101952628673633248498665318495286047830162136588513
Tue Nov  3 12:17:05 2020  elapsed time 00:02:26
Tue Nov 03 12:17:05 2020 -> Computing time scale for this machine...
Tue Nov 03 12:17:05 2020 -> procrels -speedtest> PIPE

GGNFS

Core i7-9700F 3.00GHz
Windows 10

113099078773240066473317184188935886496511389608922372837879299047119701143815376218247554013889704269355437214369686858563502928424411008938746971949<150>

115458248740335620312563998718359781<36>

979566899785555364419896958922203116389720125441266124721481082756635648366299382487222373989274649584052885084329<114>

GMP-ECM 6.2.3 [powered by GMP 4.2.1_MPIR_1.1.1] [ECM]
Input number is 113099078773240066473317184188935886496511389608922372837879299047119701143815376218247554013889704269355437214369686858563502928424411008938746971949 (150 digits)
Run 471 out of 786:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1890387069
Step 1 took 17406ms
Step 2 took 10844ms
********** Factor found in step 2: 115458248740335620312563998718359781
Found probable prime factor of 36 digits: 115458248740335620312563998718359781
Composite cofactor 979566899785555364419896958922203116389720125441266124721481082756635648366299382487222373989274649584052885084329 has 114 digits

GMP-ECM 6.2.3

Core 2 Duo 2.2Ghz, Windows XP 32-bit, Cygwin

979566899785555364419896958922203116389720125441266124721481082756635648366299382487222373989274649584052885084329<114>

645353817428705447498473322038417755283<39>
1517875734722482889287103962370929199026255462476293830497057531477090420563<76>

Number: 76661_191
N = 979566899785555364419896958922203116389720125441266124721481082756635648366299382487222373989274649584052885084329 (114 digits)
Divisors found:
r1=645353817428705447498473322038417755283 (pp39)
r2=1517875734722482889287103962370929199026255462476293830497057531477090420563 (pp76)
Version: Msieve v. 1.44
Total time: 33.28 hours.
Factorization parameters were as follows:
n: 979566899785555364419896958922203116389720125441266124721481082756635648366299382487222373989274649584052885084329
Y0: -10434169041401094375176
Y1: 1535878992437
c0: 20225454286547223050760617085
c1: -1562134764072234202560213
c2: 22870964395781404667
c3: 218451472382717
c4: 2425609584
c5: 7920
skew: 94453.96  
type: gnfs
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [1750000, 2850000)
Relations: 7974649
Relations in full relation-set: 737832 relations
Pruned matrix : 440474 x 440700
Polynomial selection time: 0.00 hours.
Total sieving time: 32.48 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.51 hours.
time per square root: 0.16 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: 33.28 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

329763287309848452263179778341720790858388174401766384217242318666035815160508695714511018395056418197198445811289374453381507448349032933316128292256297761910906562289417465984200037277589<189>

221200449949367093771102286061005364427<39>
1490789405651441723769383754978353365020227767956150837624541421431760712989970717366982600873843916026876087634161540719707095530827437167629586155807<151>

Number: n
N=329763287309848452263179778341720790858388174401766384217242318666035815160508695714511018395056418197198445811289374453381507448349032933316128292256297761910906562289417465984200037277589
  ( 189 digits)
SNFS difficulty: 193 digits.
Divisors found:

Wed Feb 17 19:13:06 2010  prp39 factor: 221200449949367093771102286061005364427
Wed Feb 17 19:13:06 2010  prp151 factor: 1490789405651441723769383754978353365020227767956150837624541421431760712989970717366982600873843916026876087634161540719707095530827437167629586155807
Wed Feb 17 19:13:06 2010  elapsed time 07:12:22 (Msieve 1.42 - dependency 3)

Version: 
Total time: 24.80 hours.
Scaled time: 20.86 units (timescale=0.841).
Factorization parameters were as follows:
name: KA_7_6_191_1
n: 329763287309848452263179778341720790858388174401766384217242318666035815160508695714511018395056418197198445811289374453381507448349032933316128292256297761910906562289417465984200037277589
m: 100000000000000000000000000000000000000
deg: 5
c5: 2300
c0: -17
skew: 0.37
type: snfs
lss: 1
rlim: 11700000
alim: 11700000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 11700000/11700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 12402853)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4424433 hash collisions in 33132403 relations
Msieve: matrix is 1633619 x 1633845 (435.0 MB)

Total sieving time: 24.80 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,11700000,11700000,28,28,56,56,2.5,2.5,100000
total time: 24.80 hours.
 --------- CPU info (if available) ----------

10687229711867213886997470445436438950528466757455618829654203702832716402439711062671052370853159083718860640569979638785717283038398005365559589159667220088420884614848277<173>

753646733405845873479448783708379380761369674245982524281000480189330578142500069017<84>
14180688694250652178358438508198993290638126471826152528421816810855349615977248019938781<89>

Number: n
N=10687229711867213886997470445436438950528466757455618829654203702832716402439711062671052370853159083718860640569979638785717283038398005365559589159667220088420884614848277  ( 173 digits)
SNFS difficulty: 194 digits.
Divisors found:

Sun Mar  7 14:04:42 2021  p84 factor: 753646733405845873479448783708379380761369674245982524281000480189330578142500069017
Sun Mar  7 14:04:42 2021  p89 factor: 14180688694250652178358438508198993290638126471826152528421816810855349615977248019938781
Sun Mar  7 14:04:42 2021  elapsed time 01:30:07 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 23x10^193-17 = 76(192)1
#
n: 10687229711867213886997470445436438950528466757455618829654203702832716402439711062671052370853159083718860640569979638785717283038398005365559589159667220088420884614848277
m: 100000000000000000000000000000000000000
deg: 5
c5: 23000
c0: -17
skew: 0.24
# Murphy_E = 1.968e-11
type: snfs
lss: 1
rlim: 12100000
alim: 12100000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12100000/12100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3201131 hash collisions in 25290595 relations (23439150 unique)
Msieve: matrix is 1924790 x 1925015 (673.1 MB)

Sieving start time : 2021/03/07 07:31:04
Sieving end time  : 2021/03/07 12:34:03

Total sieving time: 5hrs 2min 59secs.

Total relation processing time: 1hrs 12min 25sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 51sec.

Prototype def-par.txt line would be:
snfs,194,5,0,0,0,0,0,0,0,0,12100000,12100000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116378] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241916K/16727236K available (14339K kernel code, 2400K rwdata, 4964K rodata, 2732K init, 4968K bss, 485320K reserved, 0K cma-reserved)
[    0.154161] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.20 BogoMIPS (lpj=12798400)
[    0.152017] smpboot: Total of 16 processors activated (102387.20 BogoMIPS)

7666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666661<196>

35999746527712878731659000371985131430003981257067534523843496770149781729224880870614292837<92>
212964462423778688146138414928382394795421144443962994431293989615151162533616492296667081160891636389953<105>

Number: ss196
N=7666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666661
  ( 196 digits)
SNFS difficulty: 196 digits.
Divisors found:
 r1=35999746527712878731659000371985131430003981257067534523843496770149781729224880870614292837 (pp92)
 r2=212964462423778688146138414928382394795421144443962994431293989615151162533616492296667081160891636389953 (pp105)
Version: Msieve-1.40
Total time: 454.87 hours.
Scaled time: 876.99 units (timescale=1.928).
Factorization parameters were as follows:
n: 7666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666661
m: 1000000000000000000000000000000000000000
deg: 5
c5: 23
c0: -17
skew: 0.94
type: snfs
lss: 1
rlim: 13100000
alim: 13100000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 300000Factor base limits: 13100000/13100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6550000, 13450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1894610 x 1894835
Total sieving time: 447.86 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 5.69 hours.
Time per square root: 1.03 hours.
Prototype def-par.txt line would be:
snfs,196.000,5,0,0,0,0,0,0,0,0,13100000,13100000,28,28,55,55,2.5,2.5,100000
total time: 454.87 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

140180188164162351879117078287533930286029272169254375891290347314905177490598053056953034401912596090912360696052622103879567375122411131781<141>

51081414746778126371139045629646543476509628741869624607<56>
2744250308239631902094643800239359509378344310887187275969333990362883457082182424283<85>

140180188164162351879117078287533930286029272169254375891290347314905177490598053056953034401912596090912360696052622103879567375122411131781=51081414746778126371139045629646543476509628741869624607*2744250308239631902094643800239359509378344310887187275969333990362883457082182424283

Info:Square Root: Factors: 2744250308239631902094643800239359509378344310887187275969333990362883457082182424283 51081414746778126371139045629646543476509628741869624607
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 65655.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 66777/42.030/50.469/55.360/0.956
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 66777/40.590/45.269/51.220/1.348
Info:Polynomial Selection (size optimized): Total time: 45068.2
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 9574.98
Info:Polynomial Selection (root optimized): Rootsieve time: 9572.8
Info:Generate Factor Base: Total cpu/real time for makefb: 20.04/3.41911
Info:Generate Free Relations: Total cpu/real time for freerel: 766.36/77.1647
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 33497887
Info:Lattice Sieving: Average J: 3780.29 for 922425 special-q, max bucket fill -bkmult 1.0,1s:1.164190
Info:Lattice Sieving: Total time: 1.31022e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 148.61/545.589
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 543.9s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 983.61/1390.91
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 1275.1000000000001s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 637.98/1049.46
Info:Filtering - Merging: Total cpu/real time for merge: 1627.22/1639.59
Info:Filtering - Merging: Total cpu/real time for replay: 156.52/168.292
Info:Linear Algebra: Total cpu/real time for bwc: 148813/39068.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 26932.4, iteration CPU time 0.36, COMM 0.01, cpu-wait 0.07, comm-wait 0.0 (61000 iterations)
Info:Linear Algebra: Lingen CPU time 703.81, WCT time 152.27
Info:Linear Algebra: Mksol: WCT time 10914.19, iteration CPU time 0.29, COMM 0.01, cpu-wait 0.05, comm-wait 0.0 (31000 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 118.56/37.7687
Info:Square Root: Total cpu/real time for sqrt: 8631.04/1231.61
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.45927e+06/271492
Info:root: Cleaning up computation data in /tmp/cado.milfsgiy
2744250308239631902094643800239359509378344310887187275969333990362883457082182424283 51081414746778126371139045629646543476509628741869624607

cado-nfs-3.0.0

Linux Ubuntu 18.04 LTS
GenuineIntel Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz [Family 6 Model 63 Stepping 2] (12 processors)

476017460025948368337556914361463670334967639838153847476839468137052793198182141123609660922326427326805067605602891151076128322452886787746589022854040278895923176889<168>

771584186049935231951357831148823771<36>

616935220591912915382557662707603453612515395084631450580596470443193443285561244936872166679601940614623160477043336782419867646459<132>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1772640281
Step 1 took 91105ms
Step 2 took 41792ms
********** Factor found in step 2: 771584186049935231951357831148823771
Found probable prime factor of 36 digits: 771584186049935231951357831148823771
Composite cofactor 616935220591912915382557662707603453612515395084631450580596470443193443285561244936872166679601940614623160477043336782419867646459 has 132 digits

GMP-ECM 6.3

616935220591912915382557662707603453612515395084631450580596470443193443285561244936872166679601940614623160477043336782419867646459<132>

412857623743743432494959402281784368673484286167845367<54>
1494305022146904549262888490916659828803346830897932029197955742255929135099677<79>

N = 616935220591912915382557662707603453612515395084631450580596470443193443285561244936872166679601940614623160477043336782419867646459 (132 digits)
Divisors found:
r1=412857623743743432494959402281784368673484286167845367 (pp54)
r2=1494305022146904549262888490916659828803346830897932029197955742255929135099677 (pp79)
Version: Msieve v. 1.48
Total time: 57.57 hours.
Factorization parameters were as follows:
n: 616935220591912915382557662707603453612515395084631450580596470443193443285561244936872166679601940614623160477043336782419867646459
Y0: -40548491029960850297820762
Y1: 196056740405747
c0: 4013953834318808223837990734354575
c1: 10047719328446067745912217505
c2: -44224593117319679145227
c3: 646861609113243
c4: 32137705348
c5: 5628
skew: 1177729.89
type: gnfs
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 20947920
Relations: 2909988 relations
Pruned matrix : 1657933 x 1658159
Polynomial selection time: 0.00 hours.
Total sieving time: 53.47 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 3.68 hours.
time per square root: 0.28 hours.
Prototype def-par.txt line would be: gnfs,131,5,65,2000,1e-05,0.28,250,20,50000,3600,8000000,8000000,28,28,55,55,2.5,2.5,100000
total time: 57.57 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

44998633038246610940888423080928438520454325832679845907366085266046242494170056294203350521762082519182447003396526526602933905022726471427194360115336804117264317960709990462324982993<185>

157883883051989246107287968681831396813297266697<48>
285010934418360532266261567980249519468709470180219559850118894279542088312464011144382147484139015531693231918041389775482538697318469769<138>

N=44998633038246610940888423080928438520454325832679845907366085266046242494170056294203350521762082519182447003396526526602933905022726471427194360115336804117264317960709990462324982993
  ( 185 digits)
SNFS difficulty: 201 digits.
Divisors found:
 r1=157883883051989246107287968681831396813297266697 (pp48)
 r2=285010934418360532266261567980249519468709470180219559850118894279542088312464011144382147484139015531693231918041389775482538697318469769 (pp138)
Version: Msieve v. 1.48
Total time:
Scaled time: 140.74 units (timescale=1.139).
Factorization parameters were as follows:
n: 44998633038246610940888423080928438520454325832679845907366085266046242494170056294203350521762082519182447003396526526602933905022726471427194360115336804117264317960709990462324982993
m: 10000000000000000000000000000000000000000
deg: 5
c5: 23
c0: -17
skew: 0.94
type: snfs
lss: 1
rlim: 15900000
alim: 15900000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 320000
Factor base limits: 15900000/15900000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [7950000, 15630001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3228499 x 3228728
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,201.000,5,0,0,0,0,0,0,0,0,15900000,15900000,29,29,56,56,2.6,2.6,100000
total time:

338180189155617168510116509173343442091823757284945503066185021542638098875718313467805456985837039708276410616569527914451381672021495535670340361283<150>

28024745835789153465127181516213638538165439619905768301678243172635747<71>
12067199150964014317732472470065622470624496025991701253266661957232591541923489<80>

08/24/24 02:23:48, nfs: commencing nfs on c150: 338180189155617168510116509173343442091823757284945503066185021542638098875718313467805456985837039708276410616569527914451381672021495535670340361283
08/24/24 02:23:48, nfs: commencing poly selection with 10 threads
08/24/24 02:23:48, nfs: setting deadline of 69750 seconds
08/24/24 02:23:48, nfs: expecting degree 5 poly E from 4.42e-12 to > 5.08e-12
08/24/24 02:23:48, nfs: searching for avg quality poly E > 4.57e-12
08/24/24 02:37:09, nfs: completed 14 ranges of size 250 in 800.7179 seconds
08/24/24 02:37:09, nfs: best poly = # norm 1.985357e-14 alpha -8.169892 e 5.830e-12 rroots 3
08/24/24 02:37:09, nfs: commencing lattice sieving with 10 threads
08/24/24 02:57:58, nfs: found 523064 relations, need at least 44869960 (filtering ETA: 29h 24m), continuing with sieving ...
08/24/24 02:57:58, nfs: commencing lattice sieving with 10 threads
08/25/24 10:47:15, nfs: commencing msieve filtering
08/25/24 10:55:44, nfs: commencing msieve linear algebra
08/25/24 12:37:02, nfs: commencing msieve sqrt
08/25/24 12:42:27, prp80 = 12067199150964014317732472470065622470624496025991701253266661957232591541923489
08/25/24 12:42:27, prp71 = 28024745835789153465127181516213638538165439619905768301678243172635747
08/25/24 12:42:27, NFS elapsed time = 123518.6163 seconds.

YAFU v2.09

Windows 10 v22H2, Intel 17-12700K, 64 GB RAM.

214745637304057712659648191327008778708723953823130695556520130389768072049278434021013998705445187384105975459660048250855132134455837842384975230818659<153>

98713275270801656617293907545059425484522934245093<50>
2175448405646988011744043942925361154545376149257532953044187364300170112077017069003935070454474154663<103>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=231255056
Step 1 took 16532ms
Step 2 took 7423ms
********** Factor found in step 2: 98713275270801656617293907545059425484522934245093
Found probable prime factor of 50 digits: 98713275270801656617293907545059425484522934245093

2953532847368511355368961662319798850034314042995835457452875898639491898575037445875096268996474388527551230550273114841252030254211073083674647402019045894223245734766331017<175>

10679678166428861919656786663682499700009<41>

276556353229147192526909075964160068074823335826790670009216671776915543618419129669784068399536660310632126507233771746435328144470113<135>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=968434606
Step 1 took 86802ms
Step 2 took 29608ms
********** Factor found in step 2: 10679678166428861919656786663682499700009
Found probable prime factor of 41 digits: 10679678166428861919656786663682499700009

276556353229147192526909075964160068074823335826790670009216671776915543618419129669784068399536660310632126507233771746435328144470113<135>

144992617375311269930322680618293162654466057034694691883769<60>
1907382308392192935738271235231661319788094160742167798770452335712343147177<76>

Number: 76661_204
N = 276556353229147192526909075964160068074823335826790670009216671776915543618419129669784068399536660310632126507233771746435328144470113 (135 digits)
Divisors found:
r1=144992617375311269930322680618293162654466057034694691883769 (pp60)
r2=1907382308392192935738271235231661319788094160742167798770452335712343147177 (pp76)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 179.40 hours.
Factorization parameters were as follows:
# Murphy_E = 4.756e-11, selected by suberi
n: 276556353229147192526909075964160068074823335826790670009216671776915543618419129669784068399536660310632126507233771746435328144470113
Y0: -296838767498443248266765822
Y1: 53617831251401
c0: 91384609911081000941866763873231925
c1: 44998964778069558926720522972
c2: -32138824187281393685321
c3: -8812678247795860
c4: -1077966732
c5: 120
skew: 4797883.64
type: gnfs
# selected mechanically
rlim: 12900000
alim: 12900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 12900000/12900000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [6450000, 14050000)
Relations: 20768278
Relations in full relation-set: 3245210 relations
Pruned matrix : 1928781 x 1929010
Polynomial selection time: 0.00 hours.
Total sieving time: 175.46 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 3.69 hours.
time per square root: 0.15 hours.
Prototype def-par.txt line would be: gnfs,134,5,65,2000,1e-05,0.28,250,20,50000,3600,12900000,12900000,28,28,54,54,2.6,2.6,100000
total time: 179.40 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

1112269189008967494113437795198853730055633174501987214421536102550065025179943985982830162224340145414603849172987859181856139899308482330629016948099<151>

4834865877631122034914678783729585295477<40>
230051715427095142837501489325795665579250724542307793736452568350547602436890294916084533059254614623362180887<111>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=752619621
Step 1 took 220665ms
Step 2 took 74652ms
********** Factor found in step 2: 4834865877631122034914678783729585295477
Found probable prime factor of 40 digits: 4834865877631122034914678783729585295477

18871066054556810018602404354033608377090824189205251251719088093666645827482102559298026421087471510646115045692145880281915094210089531246671752956838959873751540714767504060217871211<185>

51921554981755168227412859528235001150656257099859390037964851<62>
363453406994223425827397833883888613110292040445877735365302075859167679287801893966093115737664745787873479570195596560361<123>

Number: n
N=18871066054556810018602404354033608377090824189205251251719088093666645827482102559298026421087471510646115045692145880281915094210089531246671752956838959873751540714767504060217871211  ( 185 digits)
SNFS difficulty: 207 digits.
Divisors found:

Fri Dec  3 09:28:34 2021  p62 factor: 51921554981755168227412859528235001150656257099859390037964851
Fri Dec  3 09:28:34 2021  p123 factor: 363453406994223425827397833883888613110292040445877735365302075859167679287801893966093115737664745787873479570195596560361
Fri Dec  3 09:28:34 2021  elapsed time 02:34:56 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 23x10^206-17 = 76(205)1
#
n: 18871066054556810018602404354033608377090824189205251251719088093666645827482102559298026421087471510646115045692145880281915094210089531246671752956838959873751540714767504060217871211
m: 100000000000000000000000000000000000000000
deg: 5
c5: 230
c0: -17
skew: 0.59
# Murphy_E = 7.557e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 51600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 11416807 hash collisions in 69145151 relations (60128300 unique)
Msieve: matrix is 2516439 x 2516666 (865.5 MB)

Sieving start time : 2021/12/02 10:57:59
Sieving end time  : 2021/12/03 06:52:04

Total sieving time: 19hrs 54min 5secs.

Total relation processing time: 2hrs 4min 49sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 12min 23sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,20000000,20000000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118965] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5020K rodata, 2736K init, 4964K bss, 487280K reserved, 0K cma-reserved)
[    0.154164] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.06 BogoMIPS (lpj=12798120)
[    0.152035] smpboot: Total of 16 processors activated (102384.96 BogoMIPS)

300396516342538955021917474571447565863470175076823990901885403187598555885875403026903581635097667422353860366008159544371942034524915891813414629320209664029858838887148593731<177>

1541141078587581041174887544835211186409395227436085409830351<61>
194918246302178371314362132035453518107528499176417290551904455908340936030384916513494456797332127122840095897730381<117>

Number: n
N=300396516342538955021917474571447565863470175076823990901885403187598555885875403026903581635097667422353860366008159544371942034524915891813414629320209664029858838887148593731
  ( 177 digits)
SNFS difficulty: 209 digits.
Divisors found:

Tue Nov  5 03:06:29 2024  prp61 factor: 1541141078587581041174887544835211186409395227436085409830351
Tue Nov  5 03:06:29 2024  prp117 factor: 194918246302178371314362132035453518107528499176417290551904455908340936030384916513494456797332127122840095897730381
Tue Nov  5 03:06:29 2024  elapsed time 04:41:02 (Msieve 1.44 - dependency 6)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.131).
Factorization parameters were as follows:
#
# N = 23x10^208-17 = 76(207)1
#
n: 300396516342538955021917474571447565863470175076823990901885403187598555885875403026903581635097667422353860366008159544371942034524915891813414629320209664029858838887148593731
m: 100000000000000000000000000000000000000000
deg: 5
c5: 23000
c0: -17
skew: 0.24
# Murphy_E = 4.645e-12
type: snfs
lss: 1
rlim: 22000000
alim: 22000000
lpbr: 27
lpba: 27
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
q0:       50000
qintsize: 50000
Factor base limits: 22000000/22000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 57/57
Sieved  special-q in [50000, 81250000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8958984 hash collisions in 28405986 relations (17076270 unique)
Msieve: matrix is 2833210 x 2833435 (796.5 MB)

Sieving start time: 2024/11/03 02:13:01
Sieving end time  : 2024/11/04 22:18:07

Total sieving time: 44hrs 5min 6secs.

Total relation processing time: 4hrs 12min 6sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 22min 33sec.

Prototype def-par.txt line would be:
snfs,209,5,0,0,0,0,0,0,0,0,22000000,22000000,27,27,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

1891933709688283970371404387547297043914460459312411213228506101343252409676312732822921998979744996145736092906795044380458307144363271592802669482524590969533298447189003842258708518376271<190>

20606137588481944783792455193668449506676862140280518386047559342875485872700962612982638325916238642054590975557694753603316164724263603353992986463050936062256407624645272160681<179>

239871058163743865577464867290510071770289476513983705177545732863958437344907293326498659639756840414494121067608186521032452333975625236228889236836846170967302544632673219808908656889396931909587<198>

10363083852172658427665097911579116033813491892053114919992933296143133341059913647624770885143180485722621110101840499958412334443897498590249108286564842794816030542637<170>

17311055938061262230885441317786725889185957722985702121436344340526027626190173415269339888982649306033971831693788209980161434307846831145131226751944787830376026074822262795609191889421031174929168824709<206>

4665613372542405632373706973148953656238734902976075909<55>
40911583045683384217046733079131720121359521001068476946640163<62>
90691905768654650497121010354817196497539215424110515122327622303222258556141250123487627<89>

#
# N = 23x10^214-17 = 76(213)1
#
n: 1731105593806126223088544131778672588918595772298570212143634434052602762619017341526933988898264930603397183169378820998016143430784683114513122675194478783037602607482226279560919188942103117492916882470
9
m: 500000000000000000000000000000000000
deg: 6
c6: 368
c0: -425
skew: 1.02
# Murphy_E = 2.873e-12
type: snfs
lss: 1
rlim: 29000000
alim: 29000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6



GMP-ECM 6.2.3 [powered by GMP 6.1.2] [ECM]
Input number is 17311055938061262230885441317786725889185957722985702121436344340526027626190173415269339888982649306033971831693788209980161434307846831145131226751944787830376026074822262795609191889421031174929168824709 (206 digits)
Using B1=600360000, B2=9535594068016, polynomial Dickson(30), sigma=336978234
Step 1 took 3342075ms
********** Factor found in step 1: 4665613372542405632373706973148953656238734902976075909
Found probable prime factor of 55 digits: 4665613372542405632373706973148953656238734902976075909
Composite cofactor 3710349434425606708754604902027685395058307170745167892716336687097774479527574891846039742652948513676684040388076069013875105327308233668549351763201 has 151 digits



Number: n
N=3710349434425606708754604902027685395058307170745167892716336687097774479527574891846039742652948513676684040388076069013875105327308233668549351763201
  ( 151 digits)
SNFS difficulty: 216 digits.
Divisors found:

Sat Feb  1 10:24:19 2020  p62 factor: 40911583045683384217046733079131720121359521001068476946640163
Sat Feb  1 10:24:19 2020  p89 factor: 90691905768654650497121010354817196497539215424110515122327622303222258556141250123487627
Sat Feb  1 10:24:19 2020  elapsed time 08:13:32 (Msieve 1.54 - dependency 4)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.133).
Factorization parameters were as follows:
#
# N = 23x10^214-17 = 76(213)1
#
# n: 17311055938061262230885441317786725889185957722985702121436344340526027626190173415269339888982649306033971831693788209980161434307846831145131226751944787830376026074822262795609191889421031174929168824709
# Found probable prime factor of 55 digits: 4665613372542405632373706973148953656238734902976075909
# Composite cofactor 3710349434425606708754604902027685395058307170745167892716336687097774479527574891846039742652948513676684040388076069013875105327308233668549351763201 has 151 digits
#
n: 3710349434425606708754604902027685395058307170745167892716336687097774479527574891846039742652948513676684040388076069013875105327308233668549351763201
#
m: 500000000000000000000000000000000000
deg: 6
c6: 368
c0: -425
skew: 1.02
# Murphy_E = 2.873e-12
type: snfs
lss: 1
rlim: 29000000
alim: 29000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 29000000/29000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 76100000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9114316 hash collisions in 56722050 relations (49823522 unique)
Msieve: matrix is 4102842 x 4103067 (1450.2 MB)

Sieving start time: 2020/01/30 13:19:18
Sieving end time  : 2020/02/01 02:09:36

Total sieving time: -708hrs 50min 18secs.

Total relation processing time: 7hrs 18min 38sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 36min 36sec.

Prototype def-par.txt line would be:
snfs,216,6,0,0,0,0,0,0,0,0,29000000,29000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149937] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283572K/16703460K available (12300K kernel code, 2481K rwdata, 4264K rodata, 2428K init, 2388K bss, 419888K reserved, 0K cma-reserved)
[    0.184567] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.57 BogoMIPS (lpj=11977148)
[    0.182215] smpboot: Total of 16 processors activated (95817.18 BogoMIPS)

241466419157391719638458482933836570628855594333339797333066844260505305663865684617237474065117643741408095821783183895189993419393205501225491791403985568165278863313487537749803113739819191458349<198>

94516854350764528616770371550020137080362285865579457425497067344703409319624678977726292103956919498079359717844330709200768811152731486116223613737604273338826384083<167>

6155874123573294793349944829726811602548448979616482501463775060882412856970376372953185994172029231515976357856122506515474265306908842480651<142>

42668464169041026084167599373811956984704812676634789413<56>
144272221732316644824069487766260384915170479245506948175921176677199812277780135420527<87>

Number: 76661_218
N = 6155874123573294793349944829726811602548448979616482501463775060882412856970376372953185994172029231515976357856122506515474265306908842480651 (142 digits)
Divisors found:
r1=42668464169041026084167599373811956984704812676634789413 (pp56)
r2=144272221732316644824069487766260384915170479245506948175921176677199812277780135420527 (pp87)
Version: Msieve v. 1.51 (SVN 845)
Total time: 453.84 hours.
Factorization parameters were as follows:
# Murphy_E = 1.652e-11, selected by Maksym Voznyy
# selected by CADO-NFS, optimized by Msieve
n: 6155874123573294793349944829726811602548448979616482501463775060882412856970376372953185994172029231515976357856122506515474265306908842480651
Y0: -2127682084043237616049265824
Y1: 57846418772518236631
c0: -582596419460688331181933338822470
c1: 2928060868535837066323685989
c2: -43611326484897426827268
c3: 200497534720929715
c4: 400240035194
c5: 271320
skew: 413089.28
type: gnfs
# selected mechanically
rlim: 20000000
alim: 20000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23135316
Relations: 4165546 relations
Pruned matrix : 2572490 x 2572715
Polynomial selection time: 0.00 hours.
Total sieving time: 445.48 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 6.87 hours.
time per square root: 1.29 hours.
Prototype def-par.txt line would be: gnfs,141,5,65,2000,1e-05,0.28,250,20,50000,3600,20000000,20000000,28,28,56,56,2.6,2.6,100000
total time: 453.84 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 8, speed: 2.29GHz

GGNFS, Msieve

13242370456541850648016940364915125759216938329827173393675537982561238393854144693032270059463534868683638967696503327669331093986178597311224177819544349922412033654909849392781331784332594287716260252401787<209>

821572938006186861389784723002791<33>
16118313839156821003343501391105660710775438807958738065557519795530076197992472286455963727992421081361733686811841894635577711638657318596346010314643817582155797678146879757<176>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1145762005
Step 1 took 5008ms
********** Factor found in step 1: 821572938006186861389784723002791
Found probable prime factor of 33 digits: 821572938006186861389784723002791
Probable prime cofactor 161183138391... has 176 digits

GMP-ECM 6.4.2 [configured with GMP 5.0.2, --enable-asm-redc] [ECM]

714323075594127353043786317813554833768958277768573554604111265547176664272379519545747660243511287817663712398402084810593963254457073625867602987498958177646266378699136207789438472405987<189>

70588773707729803295521896593119021548564340297927013807351<59>
10119499717501192555473062397246276462396904625068055808182421814971851984176032657462676052917125614254243387062863234740251634037<131>

Number: 76661_220
N = 714323075594127353043786317813554833768958277768573554604111265547176664272379519545747660243511287817663712398402084810593963254457073625867602987498958177646266378699136207789438472405987 (189 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=70588773707729803295521896593119021548564340297927013807351 (pp59)
r2=10119499717501192555473062397246276462396904625068055808182421814971851984176032657462676052917125614254243387062863234740251634037 (pp131)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 87.08 hours.
Factorization parameters were as follows:
n: 714323075594127353043786317813554833768958277768573554604111265547176664272379519545747660243511287817663712398402084810593963254457073625867602987498958177646266378699136207789438472405987
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 23
c0: -17
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: 7262512 relations
Pruned matrix : 6625552 x 6625777
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 36.94 hours.
Total relation processing time: 0.41 hours.
Matrix solve time: 49.53 hours.
time per square root: 0.21 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: 87.08 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

14526340904563145135684709385807068976589987511090102143938490133875990442856660619486352324965943565036251476566433766493377171790965533926481643418180464490664623458690328091402539687911093369993854832667<206>

33689585996291656361092305882901585656397<41>
431181935751959549884121301910161614499539933098387356300882211984457302111680689755916619869905259141169856900148000593011352409811490513570824964485818137534715911<165>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=857543858
Step 1 took 101840ms
Step 2 took 33665ms
********** Factor found in step 2: 33689585996291656361092305882901585656397
Found probable prime factor of 41 digits: 33689585996291656361092305882901585656397

18631882741539988459146138942457895676658979048450395370037095387532388349326678824128639390487840827217784279468935322241753583541745235315958367759811996263336148421083570501308088538691993482847997108397<206>

1114311401404817780836891782077267939953380431428672628588984979581247726929299648640750263<91>
16720534958226832862630902425901768002681329818022198692810764887262847893840276840353886894704286178227469108261819<116>

Number: 76661_222
N = 18631882741539988459146138942457895676658979048450395370037095387532388349326678824128639390487840827217784279468935322241753583541745235315958367759811996263336148421083570501308088538691993482847997108397 (206 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=1114311401404817780836891782077267939953380431428672628588984979581247726929299648640750263 (pp91)
r2=16720534958226832862630902425901768002681329818022198692810764887262847893840276840353886894704286178227469108261819 (pp116)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 100.59 hours.
Factorization parameters were as follows:
n: 18631882741539988459146138942457895676658979048450395370037095387532388349326678824128639390487840827217784279468935322241753583541745235315958367759811996263336148421083570501308088538691993482847997108397
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 2300
c0: -17
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 33508707
Relations: 9521208 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 30.91 hours.
Total relation processing time: 0.47 hours.
Pruned matrix : 8112013 x 8112238
Matrix solve time: 68.66 hours.
time per square root: 0.55 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 100.59 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz

GGNFS, Msieve

17343017976188941171804384933260673628455700012841373744978159485036029365801272690982633531247330212042524175224503482591116257714532566832262326568877682785795404718552602994716939702322931368173345123569380102476123<218>

5507871461700520241768023279889059619462064317738492831189601946779043897454227463<82>
3148769555859314626308056931475772560967682729357355370892361365945038696147652321704222528500897373726219735433604724693258859012183821<136>

Number: n
N=17343017976188941171804384933260673628455700012841373744978159485036029365801272690982633531247330212042524175224503482591116257714532566832262326568877682785795404718552602994716939702322931368173345123569380102476123
  ( 218 digits)
SNFS difficulty: 224 digits.
Divisors found:

Wed Jun 19 11:38:25 2019  p82 factor: 5507871461700520241768023279889059619462064317738492831189601946779043897454227463
Wed Jun 19 11:38:25 2019  p136 factor: 3148769555859314626308056931475772560967682729357355370892361365945038696147652321704222528500897373726219735433604724693258859012183821
Wed Jun 19 11:38:25 2019  elapsed time 13:11:47 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.123).
Factorization parameters were as follows:
#
# N = 23x10^223-17 = 76(222)1
#
n: 17343017976188941171804384933260673628455700012841373744978159485036029365801272690982633531247330212042524175224503482591116257714532566832262326568877682785795404718552602994716939702322931368173345123569380102476123
m: 10000000000000000000000000000000000000
deg: 6
c6: 230
c0: -17
skew: 0.65
# Murphy_E = 1.641e-12
type: snfs
lss: 1
rlim: 38000000
alim: 38000000
lpbr: 29
lpba: 29
mfbr: 59
mfba: 59
rlambda: 2.6
alambda: 2.6
Factor base limits: 38000000/38000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 59/59
Sieved  special-q in [100000, 102200000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 14726491 hash collisions in 70025167 relations (56746800 unique)
Msieve: matrix is 5088527 x 5088753 (1787.3 MB)

Sieving start time: 2019/06/16 16:23:14
Sieving end time  : 2019/06/18 22:24:37

Total sieving time: 54hrs 1min 23secs.

Total relation processing time: 12hrs 38min 13sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 10min 51sec.

Prototype def-par.txt line would be:
snfs,224,6,0,0,0,0,0,0,0,0,38000000,38000000,29,29,59,59,2.6,2.6,100000
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: 16284004K/16703460K available (12300K kernel code, 2473K rwdata, 4272K rodata, 2408K init, 2416K bss, 419456K reserved, 0K cma-reserved)
[    0.076563] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.40 BogoMIPS (lpj=11976816)
[    0.074214] smpboot: Total of 16 processors activated (95814.52 BogoMIPS)

78752829109784867815088357250225130370172537176471393890834882709645167144319695397753147545137355206075609564017489976134468743686933536036267389823080057386844168695408025255689891903181956699640133811328765669244965811<221>

245585493448739947743901643441163144955847367283937841079205251331499067097873939458804224910215359499306577110657002599252438123081129447111036846281560013020353633887520823134156556628151935495566435581<204>

136369819092681239211130027158347187487226965765866333252163862311697092321168060209536251711024050394238208102721903773873068946384939397103068795599261072497823487234490874095830062508700314643627<198>

5419634177782764398613076967615653<34>
25162181545705677858653864412572192842403607496558072634196371627224222701365980411743793683040712582604867531044156331265668493723523067193521610692328453011071759<164>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2343976192
Step 1 took 37809ms
Step 2 took 12552ms
********** Factor found in step 2: 5419634177782764398613076967615653
Found probable prime factor of 34 digits: 5419634177782764398613076967615653

7053051211284881938055811100889297761422876418276602269242563630788101809260962894817540631708065010732904017172646427476234283961974854339159766942655627108249003373198405397117448635387917816620668506593069610548911376878258203<229>

41415923780079445481152712527705124794434557<44>

170298053684300858234810363339352461421241835953257699034474019490532012557229527510368858367757346549635822447517152388523823817639798441217248057025116811027897755212259356446419442679<186>

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=4241846194
Step 1 took 67155ms
Step 2 took 30807ms
********** Factor found in step 2: 41415923780079445481152712527705124794434557
Found probable prime factor of 44 digits: 41415923780079445481152712527705124794434557
Composite cofactor

535730235183821831063768622186563559435768954278996552580232299058936765366999759078046263119147587755913554076569239940112548983260543829249583702824914260159136203982705546548298797284799481974042440732338919545759<216>

244792714214366263616758327948383463<36>
2188505637936103174031544394854421448083946372342701070528076261634986662032080793825229026845368048522349980246893280258466793426319418839288545247671040101377997157047169337209993<181>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1567188404
Step 1 took 17205ms
Step 2 took 13833ms
********** Factor found in step 2: 244792714214366263616758327948383463
Found probable prime factor of 36 digits: 244792714214366263616758327948383463
Probable prime cofactor 218850563793... has 181 digits

4093255027584979533724862075102331375689624488343121551877558284392240612208578038796938957109806015305214450969923473927745150382630361274248086848193628759565759031856202171204840718989143975796405054280121017974728599394910126357<232>