14004528310362318666354244575991794858089633112257439635385050554676123620105734472655682664973<95>

594693148785308211822209674660147831<36>
23549167060302104560864919762949010499061378501200898045083<59>

Number: n
N=14004528310362318666354244575991794858089633112257439635385050554676123620105734472655682664973
  ( 95 digits)
SNFS difficulty: 106 digits.
Divisors found:
 r1=594693148785308211822209674660147831 (pp36)
 r2=23549167060302104560864919762949010499061378501200898045083 (pp59)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 0.64 hours.
Scaled time: 1.30 units (timescale=2.045).
Factorization parameters were as follows:
name: KA_3_4_104_9
n: 14004528310362318666354244575991794858089633112257439635385050554676123620105734472655682664973
type: snfs
skew: 1.06
deg: 5
c5: 31
c0: 41
m: 1000000000000000000000
rlim: 400000
alim: 400000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 400000/400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved algebraic special-q in [100000, 160001)
Primes: RFBsize:33860, AFBsize:34095, largePrimes:3193883 encountered
Relations: rels:2701320, finalFF:112185
Max relations in full relation-set: 28
Initial matrix: 68020 x 112185 with sparse part having weight 7919858.
Pruned matrix : 55163 x 55567 with weight 2392508.
Total sieving time: 0.51 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.01 hours.
Total square root time: 0.08 hours, sqrts: 5.
Prototype def-par.txt line would be:
snfs,106,5,0,0,0,0,0,0,0,0,400000,400000,28,28,56,56,2.5,2.5,50000
total time: 0.64 hours.
 --------- CPU info (if available) ----------

38996506667773664275300241652546157397448622102465208197317291931622770437628861440380002088200034467880087<107>

41454123728155760979248725791099159638505634915673<50>
940714774807484928843711276649544526402883573778713355119<57>

SNFS difficulty: 112 digits.
Divisors found:
 r1=41454123728155760979248725791099159638505634915673 (pp50)
 r2=940714774807484928843711276649544526402883573778713355119 (pp57)
Version: Msieve-1.38
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.949).
Factorization parameters were as follows:
n: 38996506667773664275300241652546157397448622102465208197317291931622770437628861440380002088200034467880087
m: 10000000000000000000000
deg: 5
c5: 310
c0: 41
skew: 0.67
type: snfs
lss: 1
rlim: 520000
alim: 520000
lpbr: 25
lpba: 25
mfbr: 47
mfba: 47
rlambda: 2.4
alambda: 2.4
Factor base limits: 520000/520000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 47/47
Sieved rational special-q in [260000, 360001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 90705 x 90947
Total sieving time: 0.00 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,112,5,0,0,0,0,0,0,0,0,520000,520000,25,25,47,47,2.4,2.4,50000
total time: 0.50 hours.

Msieve-1.38

Opteron-2.6GHz; Linux x86_64

3324611162326209839139546875017259826094737883741500671780583556556842641231117669818215731165592479437843<106>

258792217686256918312919174969009069760596232037<48>
12846642731570680842788982699578386236853374596065485513239<59>

Number: 34449_112
N=3324611162326209839139546875017259826094737883741500671780583556556842641231117669818215731165592479437843
  ( 106 digits)
SNFS difficulty: 114 digits.
Divisors found:
 r1=258792217686256918312919174969009069760596232037
 r2=12846642731570680842788982699578386236853374596065485513239
Version: 
Total time: 1.68 hours.
Scaled time: 3.69 units (timescale=2.195).
Factorization parameters were as follows:
n: 3324611162326209839139546875017259826094737883741500671780583556556842641231117669818215731165592479437843
m: 20000000000000000000000
deg: 5
c5: 775
c0: 328
skew: 0.84
type: snfs
lss: 1
rlim: 560000
alim: 560000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 560000/560000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [280000, 530001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 66642 x 66860
Total sieving time: 1.68 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,114,5,0,0,0,0,0,0,0,0,560000,560000,25,25,45,45,2.2,2.2,50000
total time: 1.68 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

12326263097453348113695198957819947847469270526475883181784504535093721446219669534715947<89>

24351976690366456440494140268150735011<38>
506170946785176908374198765538995513913432276329177<51>

Sat Nov 22 05:22:34 2008  Msieve v. 1.38
Sat Nov 22 05:22:34 2008  random seeds: 1a24b790 2ab2abb3
Sat Nov 22 05:22:34 2008  factoring 12326263097453348113695198957819947847469270526475883181784504535093721446219669534715947 (89 digits)
Sat Nov 22 05:22:35 2008  searching for 15-digit factors
Sat Nov 22 05:22:36 2008  commencing quadratic sieve (89-digit input)
Sat Nov 22 05:22:36 2008  using multiplier of 3
Sat Nov 22 05:22:36 2008  using 32kb Intel Core sieve core
Sat Nov 22 05:22:36 2008  sieve interval: 28 blocks of size 32768
Sat Nov 22 05:22:36 2008  processing polynomials in batches of 8
Sat Nov 22 05:22:36 2008  using a sieve bound of 1533107 (58333 primes)
Sat Nov 22 05:22:36 2008  using large prime bound of 122648560 (26 bits)
Sat Nov 22 05:22:36 2008  using double large prime bound of 362737408899600 (42-49 bits)
Sat Nov 22 05:22:36 2008  using trial factoring cutoff of 49 bits
Sat Nov 22 05:22:36 2008  polynomial 'A' values have 11 factors
Sat Nov 22 06:30:13 2008  58550 relations (15565 full + 42985 combined from 620271 partial), need 58429
Sat Nov 22 06:30:14 2008  begin with 635836 relations
Sat Nov 22 06:30:14 2008  reduce to 142791 relations in 11 passes
Sat Nov 22 06:30:14 2008  attempting to read 142791 relations
Sat Nov 22 06:30:16 2008  recovered 142791 relations
Sat Nov 22 06:30:16 2008  recovered 123483 polynomials
Sat Nov 22 06:30:16 2008  attempting to build 58550 cycles
Sat Nov 22 06:30:16 2008  found 58550 cycles in 5 passes
Sat Nov 22 06:30:16 2008  distribution of cycle lengths:
Sat Nov 22 06:30:16 2008     length 1 : 15565
Sat Nov 22 06:30:16 2008     length 2 : 11170
Sat Nov 22 06:30:16 2008     length 3 : 10250
Sat Nov 22 06:30:16 2008     length 4 : 7878
Sat Nov 22 06:30:16 2008     length 5 : 5508
Sat Nov 22 06:30:16 2008     length 6 : 3522
Sat Nov 22 06:30:16 2008     length 7 : 2079
Sat Nov 22 06:30:16 2008     length 9+: 2578
Sat Nov 22 06:30:16 2008  largest cycle: 18 relations
Sat Nov 22 06:30:17 2008  matrix is 58333 x 58550 (14.2 MB) with weight 3493391 (59.67/col)
Sat Nov 22 06:30:17 2008  sparse part has weight 3493391 (59.67/col)
Sat Nov 22 06:30:17 2008  filtering completed in 3 passes
Sat Nov 22 06:30:17 2008  matrix is 54459 x 54523 (13.4 MB) with weight 3283171 (60.22/col)
Sat Nov 22 06:30:17 2008  sparse part has weight 3283171 (60.22/col)
Sat Nov 22 06:30:17 2008  saving the first 48 matrix rows for later
Sat Nov 22 06:30:18 2008  matrix is 54411 x 54523 (9.4 MB) with weight 2678963 (49.13/col)
Sat Nov 22 06:30:18 2008  sparse part has weight 2139290 (39.24/col)
Sat Nov 22 06:30:18 2008  matrix includes 64 packed rows
Sat Nov 22 06:30:18 2008  using block size 21809 for processor cache size 1024 kB
Sat Nov 22 06:30:18 2008  commencing Lanczos iteration
Sat Nov 22 06:30:18 2008  memory use: 8.7 MB
Sat Nov 22 06:30:38 2008  lanczos halted after 861 iterations (dim = 54411)
Sat Nov 22 06:30:38 2008  recovered 18 nontrivial dependencies
Sat Nov 22 06:30:38 2008  prp38 factor: 24351976690366456440494140268150735011
Sat Nov 22 06:30:38 2008  prp51 factor: 506170946785176908374198765538995513913432276329177
Sat Nov 22 06:30:38 2008  elapsed time 01:08:04

76599433190693934940858766973705344541625064851584767669359016250446700007292712988526669725681243<98>

39060798498707080488288532923358921<35>
1961030909115423998982595692229352015289040401796279581247674883<64>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=406823575
Step 1 took 13031ms
********** Factor found in step 1: 39060798498707080488288532923358921
Found probable prime factor of 35 digits: 39060798498707080488288532923358921
Probable prime cofactor 1961030909115423998982595692229352015289040401796279581247674883 has 64 digits

GMP-ECM 6.2.1

1221507805950426648099177028559760652298440632782582238373530572686579523660779453850104267709627<97>

667275628520032946456406704929974171499<39>
1830589570099598722655453913313123714527630752671977509873<58>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4183339842
Step 1 took 11372ms
Step 2 took 9026ms
********** Factor found in step 2: 667275628520032946456406704929974171499
Found probable prime factor of 39 digits: 667275628520032946456406704929974171499
Probable prime cofactor 1830589570099598722655453913313123714527630752671977509873 has 58 digits

GMP-ECM 6.2.1

15116864939773542290353717005311943171971991121151913315381622569020566783435013849818703<89>

48404523956151107959172206679<29>
312302729254556267292136300344926518307355113530119444922057<60>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2358009462
Step 1 took 11056ms
********** Factor found in step 1: 48404523956151107959172206679
Found probable prime factor of 29 digits: 48404523956151107959172206679
Probable prime cofactor 312302729254556267292136300344926518307355113530119444922057 has 60 digits

GMP-ECM 6.2.1

12733487663370052831395840247528589876745259188248257431076297252867117599646478553622394464399720261573253953<110>

874649588582602018285507418779006331185511<42>
14558387529805029615527432457618027810773080096835070639069566035223<68>

Number: 34449_125
N=12733487663370052831395840247528589876745259188248257431076297252867117599646478553622394464399720261573253953
  ( 110 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=874649588582602018285507418779006331185511
 r2=14558387529805029615527432457618027810773080096835070639069566035223
Version: 
Total time: 2.26 hours.
Scaled time: 4.52 units (timescale=1.997).
Factorization parameters were as follows:
n: 12733487663370052831395840247528589876745259188248257431076297252867117599646478553622394464399720261573253953
m: 10000000000000000000000000
deg: 5
c5: 31
c0: 41
skew: 1.06
type: snfs
lss: 1
rlim: 900000
alim: 900000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3Factor base limits: 900000/900000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [450000, 700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 121472 x 121697
Total sieving time: 2.26 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,126,5,0,0,0,0,0,0,0,0,900000,900000,26,26,46,46,2.3,2.3,50000
total time: 2.26 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

173763467848970278713974750561149146568806736167382405237857999467581269407965348000471968423452003995969697905358771<117>

9973580693615855217576522026614909705580359<43>
17422375492504637407894128118367596750344220464668292825505166710628246069<74>

Number: n
N=173763467848970278713974750561149146568806736167382405237857999467581269407965348000471968423452003995969697905358771
  ( 117 digits)
SNFS difficulty: 128 digits.
Divisors found:

Sat Nov 22 21:21:13 2008  prp43 factor: 9973580693615855217576522026614909705580359
Sat Nov 22 21:21:13 2008  prp74 factor: 17422375492504637407894128118367596750344220464668292825505166710628246069
Sat Nov 22 21:21:13 2008  elapsed time 00:09:04 (Msieve 1.38)

Version: GGNFS-0.77.1-20050930-k8
Total time: 2.73 hours.
Scaled time: 2.28 units (timescale=0.836).
Factorization parameters were as follows:
name: KA_3_4_126_9
n: 173763467848970278713974750561149146568806736167382405237857999467581269407965348000471968423452003995969697905358771
type: snfs
skew: 0.42
deg: 5
c5: 3100
c0: 41
m: 10000000000000000000000000
rlim: 800000
alim: 800000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 550001)
Primes: RFBsize:63951, AFBsize:63920, largePrimes:5985205 encountered
Relations: rels:5100087, finalFF:107496
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 2.62 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,128,5,0,0,0,0,0,0,0,0,800000,800000,28,28,56,56,2.5,2.5,50000
total time: 2.73 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM)
Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888)
Calibrating delay loop... 6029.31 BogoMIPS (lpj=3014656)
Total of 2 processors activated (11993.08 BogoMIPS).

14294430912933799768877945621994775259320155089090998487296732530834015369018161723244761086025290478321<104>

1248935601417172450982864120557249528038055829<46>
11445290611232355952658107212384022849920784550095471386349<59>

Number: n
N=14294430912933799768877945621994775259320155089090998487296732530834015369018161723244761086025290478321
  ( 104 digits)
Divisors found:
 r1=1248935601417172450982864120557249528038055829 (pp46)
 r2=11445290611232355952658107212384022849920784550095471386349 (pp59)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 7.75 hours.
Scaled time: 15.85 units (timescale=2.045).
Factorization parameters were as follows:
name: KA_3_4_130_9
n: 14294430912933799768877945621994775259320155089090998487296732530834015369018161723244761086025290478321
skew: 3390.65
# norm 2.31e+13
c5: 91800
c4: 6859206
c3: -4725006547371
c2: -2699552177629954
c1: 27385722727592109576
c0: -21567600773132452286336
# alpha -4.55
Y1: 91767493427
Y0: -43497552812811424329
# Murphy_E 2.47e-09
# M 7075543479495724653964217112395499653546303942025095148589176977474698349047121752729839508576224373702
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 [100000, 1000001)
Primes: RFBsize:169511, AFBsize:169506, largePrimes:4076820 encountered
Relations: rels:4026657, finalFF:415113
Max relations in full relation-set: 28
Initial matrix: 339097 x 415113 with sparse part having weight 23662065.
Pruned matrix : 265650 x 267409 with weight 11101962.
Polynomial selection time: 0.98 hours.
Total sieving time: 6.36 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.20 hours.
Total square root time: 0.08 hours, sqrts: 1.
Prototype def-par.txt line would be:
gnfs,103,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 7.75 hours.
 --------- CPU info (if available) ----------

122796739732476938843056250443218226969682997756544001036135289144535313607829770602408058533797<96>

17751030558599310472733314763851239959047<41>
6917724541519043115256611096093267885584506550050379251<55>

Number: n
N=122796739732476938843056250443218226969682997756544001036135289144535313607829770602408058533797
  ( 96 digits)
Divisors found:
 r1=17751030558599310472733314763851239959047 (pp41)
 r2=6917724541519043115256611096093267885584506550050379251 (pp55)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 9.83 hours.
Scaled time: 12.88 units (timescale=1.310).
Factorization parameters were as follows:
name: KA_3_4_138_9
n:  122796739732476938843056250443218226969682997756544001036135289144535313607829770602408058533797
m:  7243743645372881631714
deg: 4
c4: 44599968
c3: 106520161388
c2: -859752888831163147
c1: -226792341741364904
c0: 453710617209311880093505
skew: 1635.250
type: gnfs
# adj. I(F,S) = 56.152
# E(F1,F2) = 2.818535e-05
# GGNFS version 0.77.1-20060513-athlon-xp polyselect.
# Options were: 
# lcd=1, enumLCD=24, maxS1=60.00000000, seed=1227291941.
# maxskew=2000.0
# These parameters should be manually set:
rlim: 1200000
alim: 1200000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.4
alambda: 2.4
qintsize: 60000

type: gnfs
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [100000, 1300001)
Primes: RFBsize:92938, AFBsize:92030, largePrimes:1875231 encountered
Relations: rels:1947293, finalFF:232210
Max relations in full relation-set: 28
Initial matrix: 185049 x 232210 with sparse part having weight 18482100.
Pruned matrix : 164303 x 165292 with weight 10782603.
Polynomial selection time: 0.17 hours.
Total sieving time: 8.95 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.51 hours.
Total square root time: 0.09 hours, sqrts: 2.
Prototype def-par.txt line would be:
gnfs,95,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 9.83 hours.
 --------- CPU info (if available) ----------

10369008614240863352321120069636994460028391623281167738181012372516588639848686662393445079840448856819<104>

1788847380174561304042465308411568243<37>
5796474718390466137267505980824046764103166906082630165666673013633<67>

GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 10369008614240863352321120069636994460028391623281167738181012372516588639848686662393445079840448856819 (104 digits)
Using B1=2156000, B2=2854157680, polynomial Dickson(6), sigma=3161595063
Step 1 took 22047ms
Step 2 took 8375ms
********** Factor found in step 2: 1788847380174561304042465308411568243
Found probable prime factor of 37 digits: 1788847380174561304042465308411568243
Probable prime cofactor 5796474718390466137267505980824046764103166906082630165666673013633 has 67 digits

73945521671203103330866766193284634285998509123366560370612765483356140853530412183713691765269584991516030247771197457427897<125>

250844864487752569642988214862325027<36>
294785870231812031961140657885418584096523225421107367822479810640014905616838732440253811<90>

Number: 34449_141
N=73945521671203103330866766193284634285998509123366560370612765483356140853530412183713691765269584991516030247771197457427897
  ( 125 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=250844864487752569642988214862325027 (pp36)
 r2=294785870231812031961140657885418584096523225421107367822479810640014905616838732440253811 (pp90)
Version: GGNFS-0.77.1-20060513-k8
Total time: 15.03 hours.
Scaled time: 29.39 units (timescale=1.955).
Factorization parameters were as follows:
name: 34449_141
n: 73945521671203103330866766193284634285998509123366560370612765483356140853530412183713691765269584991516030247771197457427897
m: 10000000000000000000000000000
deg: 5
c5: 310
c0: 41
skew: 0.67
type: snfs
lss: 1
rlim: 1660000
alim: 1660000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1660000/1660000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [830000, 2130001)
Primes: RFBsize:125335, AFBsize:125478, largePrimes:4027860 encountered
Relations: rels:4257982, finalFF:408568
Max relations in full relation-set: 28
Initial matrix: 250880 x 408568 with sparse part having weight 45738650.
Pruned matrix : 209515 x 210833 with weight 22135631.
Total sieving time: 14.18 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.62 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,142,5,0,0,0,0,0,0,0,0,1660000,1660000,26,26,48,48,2.3,2.3,100000
total time: 15.03 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

91629315033086336258089934120092012703910322193113037170545087138342097380259920272842329508498424035340485686522479420891591595441301<134>

249013338986204435097585192153943981947080710065557<51>
367969504790916776725533016892666807229583043626074786102746866272342615210332238593<84>

Number: 34449_142
N=91629315033086336258089934120092012703910322193113037170545087138342097380259920272842329508498424035340485686522479420891591595441301
  ( 134 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=249013338986204435097585192153943981947080710065557 (pp51)
 r2=367969504790916776725533016892666807229583043626074786102746866272342615210332238593 (pp84)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 22.54 hours.
Scaled time: 10.66 units (timescale=0.473).
Factorization parameters were as follows:
name: 34449_142
n: 91629315033086336258089934120092012703910322193113037170545087138342097380259920272842329508498424035340485686522479420891591595441301
m: 20000000000000000000000000000
deg: 5
c5: 775
c0: 328
skew: 0.84
type: snfs
lss: 1
rlim: 1790000
alim: 1790000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1790000/1790000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [895000, 2695001)
Primes: RFBsize:134359, AFBsize:134584, largePrimes:4106423 encountered
Relations: rels:4251420, finalFF:308391
Max relations in full relation-set: 28
Initial matrix: 269010 x 308391 with sparse part having weight 34555699.
Pruned matrix : 256408 x 257817 with weight 26898094.
Total sieving time: 20.05 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 2.15 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,144,5,0,0,0,0,0,0,0,0,1790000,1790000,26,26,49,49,2.3,2.3,100000
total time: 22.54 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

273663325987250666193658535831565708877585280399160212059319626415796731264203768483627142893257335731842059187153779939471<123>

2763241941388641272813974675010137882804144873<46>
99037048435115939648404395098604147324333042396077440279511597887787486342327<77>

Number: 34449_143
N=273663325987250666193658535831565708877585280399160212059319626415796731264203768483627142893257335731842059187153779939471
  ( 123 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=2763241941388641272813974675010137882804144873 (pp46)
 r2=99037048435115939648404395098604147324333042396077440279511597887787486342327 (pp77)
Version: GGNFS-0.77.1-20060513-k8
Total time: 21.55 hours.
Scaled time: 42.13 units (timescale=1.955).
Factorization parameters were as follows:
name: 34449_143
n: 273663325987250666193658535831565708877585280399160212059319626415796731264203768483627142893257335731842059187153779939471
m: 50000000000000000000000000000
deg: 5
c5: 248
c0: 1025
skew: 1.33
type: snfs
lss: 1
rlim: 1890000
alim: 1890000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1890000/1890000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [945000, 2845001)
Primes: RFBsize:141338, AFBsize:141131, largePrimes:4261266 encountered
Relations: rels:4491050, finalFF:353932
Max relations in full relation-set: 28
Initial matrix: 282536 x 353932 with sparse part having weight 41049959.
Pruned matrix : 259250 x 260726 with weight 28392947.
Total sieving time: 20.22 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 1.03 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,145,5,0,0,0,0,0,0,0,0,1890000,1890000,26,26,49,49,2.3,2.3,100000
total time: 21.55 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

19493715659669137717634283501866598231174008195488279686946974479242646515513142646151978243163268222141919758885399329471406009037177<134>

224989048861303607305990760947<30>
10690526136524945934822924019667842419697205995921<50>
8104648192327214100807766498210552641603797424899038771<55>

Number: 34449_146
N=19493715659669137717634283501866598231174008195488279686946974479242646515513142646151978243163268222141919758885399329471406009037177
  ( 134 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=224989048861303607305990760947 (pp30)
 r2=10690526136524945934822924019667842419697205995921 (pp50)
 r3=8104648192327214100807766498210552641603797424899038771 (pp55)
Version: GGNFS-0.77.1-20060513-k8
Total time: 22.19 hours.
Scaled time: 43.77 units (timescale=1.972).
Factorization parameters were as follows:
name: 34449_146
n: 19493715659669137717634283501866598231174008195488279686946974479242646515513142646151978243163268222141919758885399329471406009037177
m: 100000000000000000000000000000
deg: 5
c5: 310
c0: 41
skew: 0.67
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1000000, 2900001)
Primes: RFBsize:148933, AFBsize:149232, largePrimes:4381484 encountered
Relations: rels:4654922, finalFF:390109
Max relations in full relation-set: 28
Initial matrix: 298232 x 390109 with sparse part having weight 45287677.
Pruned matrix : 267944 x 269499 with weight 29530201.
Total sieving time: 20.88 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.02 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,147,5,0,0,0,0,0,0,0,0,2000000,2000000,26,26,49,49,2.3,2.3,100000
total time: 22.19 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

112491787516595175094248525044692787688858788070759429119202756420202848274323231189071647765374520630627849399171887618027300225120326219<138>

52645699521864232841037910835053332133<38>
26284555383594257254292409604368589956841814276767<50>
81293773300248697922814898301342394783351214050929<50>

Number: 34449_147
N=112491787516595175094248525044692787688858788070759429119202756420202848274323231189071647765374520630627849399171887618027300225120326219
  ( 138 digits)
SNFS difficulty: 149 digits.
Divisors found:
 r1=52645699521864232841037910835053332133 (pp38)
 r2=26284555383594257254292409604368589956841814276767 (pp50)
 r3=81293773300248697922814898301342394783351214050929 (pp50)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 39.23 hours.
Scaled time: 18.52 units (timescale=0.472).
Factorization parameters were as follows:
name: 34449_147
n: 112491787516595175094248525044692787688858788070759429119202756420202848274323231189071647765374520630627849399171887618027300225120326219
m: 200000000000000000000000000000
deg: 5
c5: 775
c0: 328
skew: 0.84
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1100000, 4100001)
Primes: RFBsize:162662, AFBsize:163207, largePrimes:4709465 encountered
Relations: rels:5141491, finalFF:384765
Max relations in full relation-set: 28
Initial matrix: 325936 x 384765 with sparse part having weight 47733275.
Pruned matrix : 306013 x 307706 with weight 36858857.
Total sieving time: 34.63 hours.
Total relation processing time: 0.38 hours.
Matrix solve time: 4.11 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,149,5,0,0,0,0,0,0,0,0,2200000,2200000,26,26,49,49,2.3,2.3,100000
total time: 39.23 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

6596836416721928663206667563446461274548082634185610745446412601130224788147677008292567890044088794576244499948181477445864362643631<133>

7423689621961529739231158597<28>
702766731950884884431830689726431<33>
1264458890754132592520292456614107767172350023484547611212032793438177533<73>

GMP-ECM 6.2.1 [powered by GMP 4.1.4] [ECM]
Input number is 6596836416721928663206667563446461274548082634185610745446412601130224788147677008292567890044088794576244499948181477445864362643631 (133 digits)
Using B1=68000, B2=20337252, polynomial x^2, sigma=1865824268
Step 1 took 906ms
********** Factor found in step 1: 7423689621961529739231158597
Found probable prime factor of 28 digits: 7423689621961529739231158597
Composite cofactor 888619642341522732989585178583008347765811867881469147602770976994452953369611679679482249149798980474723 has 105 digits


GMP-ECM 6.2.1 [powered by GMP 4.1.4] [ECM]
Input number is 888619642341522732989585178583008347765811867881469147602770976994452953369611679679482249149798980474723 (105 digits)
Using B1=2118000, B2=2854078510, polynomial Dickson(6), sigma=2632614283
Step 1 took 20141ms
Step 2 took 10594ms
********** Factor found in step 2: 702766731950884884431830689726431
Found probable prime factor of 33 digits: 702766731950884884431830689726431
Probable prime cofactor 1264458890754132592520292456614107767172350023484547611212032793438177533 has 73 digits

5072320277289301240298525799177849702522387783534603072805642037340932334501433151881909182127907<97>

22521545757000487584780938305372935523<38>
225220787774420230975891805254681225718909593400875653913409<60>

GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 5072320277289301240298525799177849702522387783534603072805642037340932334501433151881909182127907 (97 digits)
Using B1=1328000, B2=1426405900, polynomial Dickson(6), sigma=4224044251
Step 1 took 13875ms
Step 2 took 5313ms
********** Factor found in step 2: 22521545757000487584780938305372935523
Found probable prime factor of 38 digits: 22521545757000487584780938305372935523
Probable prime cofactor 225220787774420230975891805254681225718909593400875653913409 has 60 digits

50644392451201039940486898811919837806947292225271785123798546055054166195530666819430997570993822590013111807604058720118930867542077294989<140>

25159023166929253852356966287189982699044095992221<50>
2012971334982969607587578984544165589319626732300682305366828685278214905844400647139065009<91>

Number: 34449_151
N=50644392451201039940486898811919837806947292225271785123798546055054166195530666819430997570993822590013111807604058720118930867542077294989
  ( 140 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=25159023166929253852356966287189982699044095992221 (pp50)
 r2=2012971334982969607587578984544165589319626732300682305366828685278214905844400647139065009 (pp91)
Version: GGNFS-0.77.1-20060513-k8
Total time: 29.07 hours.
Scaled time: 53.88 units (timescale=1.853).
Factorization parameters were as follows:
name: 34449_151
n: 50644392451201039940486898811919837806947292225271785123798546055054166195530666819430997570993822590013111807604058720118930867542077294989
m: 1000000000000000000000000000000
deg: 5
c5: 310
c0: 41
skew: 0.67
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1200000, 2100001)
Primes: RFBsize:176302, AFBsize:176735, largePrimes:7906736 encountered
Relations: rels:7966289, finalFF:469567
Max relations in full relation-set: 28
Initial matrix: 353104 x 469567 with sparse part having weight 52765137.
Pruned matrix : 314785 x 316614 with weight 32293031.
Total sieving time: 27.06 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 1.63 hours.
Time per square root: 0.20 hours.
Prototype def-par.txt line would be:
snfs,152,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,50,50,2.4,2.4,100000
total time: 29.07 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

2917971789275374742550279961408364217439585732684651363096861229810434025847121781636291<88>

44486831924067687045714216542322079414577<41>
65591809150534983525158372279246902373496543283<47>

Fri Nov 21 12:35:16 2008  Msieve v. 1.36
Fri Nov 21 12:35:16 2008  random seeds: 21ecf6b8 72b652fe
Fri Nov 21 12:35:16 2008  factoring 2917971789275374742550279961408364217439585732684651363096861229810434025847121781636291 (88 digits)
Fri Nov 21 12:35:17 2008  searching for 15-digit factors
Fri Nov 21 12:35:18 2008  commencing quadratic sieve (88-digit input)
Fri Nov 21 12:35:19 2008  using multiplier of 19
Fri Nov 21 12:35:19 2008  using 64kb Pentium 4 sieve core
Fri Nov 21 12:35:19 2008  sieve interval: 13 blocks of size 65536
Fri Nov 21 12:35:19 2008  processing polynomials in batches of 8
Fri Nov 21 12:35:19 2008  using a sieve bound of 1517699 (57619 primes)
Fri Nov 21 12:35:19 2008  using large prime bound of 121415920 (26 bits)
Fri Nov 21 12:35:19 2008  using double large prime bound of 356201769813440 (42-49 bits)
Fri Nov 21 12:35:19 2008  using trial factoring cutoff of 49 bits
Fri Nov 21 12:35:19 2008  polynomial 'A' values have 11 factors
Fri Nov 21 13:46:13 2008  58029 relations (16470 full + 41559 combined from 601969 partial), need 57715
Fri Nov 21 13:46:15 2008  begin with 618438 relations
Fri Nov 21 13:46:16 2008  reduce to 137673 relations in 12 passes
Fri Nov 21 13:46:16 2008  attempting to read 137673 relations
Fri Nov 21 13:46:21 2008  recovered 137673 relations
Fri Nov 21 13:46:21 2008  recovered 112399 polynomials
Fri Nov 21 13:46:22 2008  attempting to build 58029 cycles
Fri Nov 21 13:46:22 2008  found 58029 cycles in 5 passes
Fri Nov 21 13:46:22 2008  distribution of cycle lengths:
Fri Nov 21 13:46:22 2008     length 1 : 16470
Fri Nov 21 13:46:22 2008     length 2 : 11704
Fri Nov 21 13:46:22 2008     length 3 : 10218
Fri Nov 21 13:46:22 2008     length 4 : 7559
Fri Nov 21 13:46:22 2008     length 5 : 5181
Fri Nov 21 13:46:22 2008     length 6 : 3198
Fri Nov 21 13:46:22 2008     length 7 : 1770
Fri Nov 21 13:46:22 2008     length 9+: 1929
Fri Nov 21 13:46:22 2008  largest cycle: 19 relations
Fri Nov 21 13:46:22 2008  matrix is 57619 x 58029 (13.8 MB) with weight 3380613 (58.26/col)
Fri Nov 21 13:46:22 2008  sparse part has weight 3380613 (58.26/col)
Fri Nov 21 13:46:23 2008  filtering completed in 3 passes
Fri Nov 21 13:46:23 2008  matrix is 52792 x 52855 (12.6 MB) with weight 3099871 (58.65/col)
Fri Nov 21 13:46:23 2008  sparse part has weight 3099871 (58.65/col)
Fri Nov 21 13:46:23 2008  saving the first 48 matrix rows for later
Fri Nov 21 13:46:23 2008  matrix is 52744 x 52855 (9.0 MB) with weight 2535635 (47.97/col)
Fri Nov 21 13:46:23 2008  sparse part has weight 2054683 (38.87/col)
Fri Nov 21 13:46:23 2008  matrix includes 64 packed rows
Fri Nov 21 13:46:23 2008  using block size 21142 for processor cache size 512 kB
Fri Nov 21 13:46:24 2008  commencing Lanczos iteration
Fri Nov 21 13:46:24 2008  memory use: 8.3 MB
Fri Nov 21 13:46:52 2008  lanczos halted after 836 iterations (dim = 52742)
Fri Nov 21 13:46:53 2008  recovered 16 nontrivial dependencies
Fri Nov 21 13:46:53 2008  prp41 factor: 44486831924067687045714216542322079414577
Fri Nov 21 13:46:53 2008  prp47 factor: 65591809150534983525158372279246902373496543283
Fri Nov 21 13:46:53 2008  elapsed time 01:11:37

Msieve

59303512875660190239903873838592225362043522656415163955070689963128025148740225659345164492560895282613090072407941118087658052686704153<137>

403369120592280214906680606143906456903218042215967<51>
147020458057331909160593920488882803957838848951345662283367806977244326092173137116359<87>

Number: n
N=59303512875660190239903873838592225362043522656415163955070689963128025148740225659345164492560895282613090072407941118087658052686704153
  ( 137 digits)
SNFS difficulty: 159 digits.
Divisors found:

Tue Nov 25 07:05:02 2008  prp51 factor: 403369120592280214906680606143906456903218042215967
Tue Nov 25 07:05:03 2008  prp87 factor: 147020458057331909160593920488882803957838848951345662283367806977244326092173137116359
Tue Nov 25 07:05:03 2008  elapsed time 01:23:00 (Msieve 1.38)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 32.75 hours.
Scaled time: 67.17 units (timescale=2.051).
Factorization parameters were as follows:
name: KA_3_4_157_9
n: 59303512875660190239903873838592225362043522656415163955070689963128025148740225659345164492560895282613090072407941118087658052686704153
type: snfs
skew: 0.27
deg: 5
c5: 31000
c0: 41
m: 10000000000000000000000000000000
rlim: 4000000
alim: 4000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 1750001)
Primes: RFBsize:283146, AFBsize:283059, largePrimes:14395021 encountered
Relations: rels:12895344, finalFF:596990
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 32.42 hours.
Total relation processing time: 0.33 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,159,5,0,0,0,0,0,0,0,0,4000000,4000000,28,28,56,56,2.5,2.5,100000
total time: 32.75 hours.
 --------- CPU info (if available) ----------

112853776361362171890036514539513706755461921707305238431624689696835446173126379474301045848075084708611487263335709392706447626493355579<138>

519200074012305510805012666334819<33>
217360863393650894273483985147045926746949619702827516312957917248727025467082747527790644449593568212041<105>

GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 112853776361362171890036514539513706755461921707305238431624689696835446173126379474301045848075084708611487263335709392706447626493355579 (138 digits)
Using B1=1428000, B2=2140044280, polynomial Dickson(6), sigma=3811119449
Step 1 took 15585ms
Step 2 took 7162ms
********** Factor found in step 2: 519200074012305510805012666334819
Found probable prime factor of 33 digits: 519200074012305510805012666334819
Probable prime cofactor 217360863393650894273483985147045926746949619702827516312957917248727025467082747527790644449593568212041 has 105 digits

281705984320382834768168838574043320101246180179813501104002009710698781848409531013928771698738236445365657545494019832461744291094443157169473<144>

19271833543064282432963298327790989181455280173613<50>
14617497794949856808550674252675297489036964937095681265244845906085208668384217430630196277221<95>

Number: n
N=281705984320382834768168838574043320101246180179813501104002009710698781848409531013928771698738236445365657545494019832461744291094443157169473
  ( 144 digits)
SNFS difficulty: 162 digits.
Divisors found:

Mon Nov 24 23:56:29 2008  prp50 factor: 19271833543064282432963298327790989181455280173613
Mon Nov 24 23:56:29 2008  prp95 factor: 14617497794949856808550674252675297489036964937095681265244845906085208668384217430630196277221
Mon Nov 24 23:56:29 2008  elapsed time 01:55:56 (Msieve 1.38)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 30.90 hours.
Scaled time: 56.45 units (timescale=1.827).
Factorization parameters were as follows:
name: KA_3_4_160_9
n: 281705984320382834768168838574043320101246180179813501104002009710698781848409531013928771698738236445365657545494019832461744291094443157169473
type: snfs
skew: 0.67
deg: 5
c5: 310
c0: 41
m: 100000000000000000000000000000000
rlim: 4400000
alim: 4400000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 1800001)
Primes: RFBsize:309335, AFBsize:309440, largePrimes:14840002 encountered
Relations: rels:13480228, finalFF:698255
Max relations in full relation-set: 28
Initial matrix: 618842 x 698255 with sparse part having weight 80958662.
Pruned matrix : 558849 x 562007 with weight 56988131.
Total sieving time: 30.47 hours.
Total relation processing time: 0.43 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,4400000,4400000,28,28,56,56,2.5,2.5,100000
total time: 30.90 hours.
 --------- CPU info (if available) ----------

3134976348133017753986237508264591675227397506931118169753747860898160990515607185310712968530556574409882478282528797528962745514979<133>

4497256276942913708784333111919888344610032022987466112890666921<64>
697086435613153702704174629418486140293389147332010155586147216393899<69>

Number: n
N=3134976348133017753986237508264591675227397506931118169753747860898160990515607185310712968530556574409882478282528797528962745514979
  ( 133 digits)
SNFS difficulty: 163 digits.
Divisors found:

Thu Nov 27 01:18:58 2008  prp64 factor: 4497256276942913708784333111919888344610032022987466112890666921
Thu Nov 27 01:18:58 2008  prp69 factor: 697086435613153702704174629418486140293389147332010155586147216393899
Thu Nov 27 01:18:58 2008  elapsed time 02:47:55 (Msieve 1.38)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 46.31 hours.
Scaled time: 93.82 units (timescale=2.026).
Factorization parameters were as follows:
name: KA_3_4_161_9
n: 3134976348133017753986237508264591675227397506931118169753747860898160990515607185310712968530556574409882478282528797528962745514979
type: snfs
skew: 0.42
deg: 5
c5: 3100
c0: 41
m: 100000000000000000000000000000000
rlim: 4500000
alim: 4500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 2400001)
Primes: RFBsize:315948, AFBsize:316018, largePrimes:15816324 encountered
Relations: rels:14466655, finalFF:677553
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 45.67 hours.
Total relation processing time: 0.63 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,4500000,4500000,28,28,56,56,2.5,2.5,100000
total time: 46.31 hours.
 --------- CPU info (if available) ----------

36993488627961056344488479201846311208466483880832964717932506627895049398002594345347037447623735419557550086941139<116>

52360156332128908550551752115093402369791409<44>
706519827658752527682749389034573409857980191378297593467378048714187971<72>

Number: n
N=36993488627961056344488479201846311208466483880832964717932506627895049398002594345347037447623735419557550086941139
  ( 116 digits)
Divisors found:

Tue Nov 25 04:40:41 2008  prp44 factor: 52360156332128908550551752115093402369791409
Tue Nov 25 04:40:41 2008  prp72 factor: 706519827658752527682749389034573409857980191378297593467378048714187971
Tue Nov 25 04:40:41 2008  elapsed time 00:49:14 (Msieve 1.38)

Version: GGNFS-0.77.1-20050930-k8
Total time: 34.13 hours.
Scaled time: 28.63 units (timescale=0.839).
Factorization parameters were as follows:
name: KA_3_4_164_9
n: 36993488627961056344488479201846311208466483880832964717932506627895049398002594345347037447623735419557550086941139
skew: 27554.71
# norm 2.12e+15
c5: 73080
c4: -270741138
c3: -118636966223308
c2: -1515144755494934221
c1: 37855017221866213730472
c0: 462963681614409640635618000
# alpha -5.09
Y1: 2124809634343
Y0: -13831376378547203326429
# Murphy_E 4.86e-10
# M 9599321862410283898123100379616895623818960450150469167051830326877405946979609366726360656345165674977990457946100
type: gnfs
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 60000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 2020001)
Primes: RFBsize:315948, AFBsize:315804, largePrimes:6353259 encountered
Relations: rels:6186586, finalFF:669899
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 33.85 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,115,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,27,27,50,50,2.4,2.4,60000
total time: 34.13 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM)
Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888)
Calibrating delay loop... 6029.31 BogoMIPS (lpj=3014656)
Total of 2 processors activated (11993.08 BogoMIPS).

6879257927789982912810953553913410114728269311852295674943967334620420300468233362181834320839713290282493398131504782193817544326831325033841510773805561103344207<163>

181349445677364300441878201566985382903693854106708508967491099295051<69>
37933713566617419532751041365089999565596259225341362011623253271472207437090733501918061961357<95>

SNFS difficulty: 167 digits.
Divisors found:
 r1=181349445677364300441878201566985382903693854106708508967491099295051 (pp69)
 r2=37933713566617419532751041365089999565596259225341362011623253271472207437090733501918061961357 (pp95)
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.953).
Factorization parameters were as follows:
n: 6879257927789982912810953553913410114728269311852295674943967334620420300468233362181834320839713290282493398131504782193817544326831325033841510773805561103344207
m: 1000000000000000000000000000000000
deg: 5
c5: 310
c0: 41
skew: 0.67
type: snfs
lss: 1
rlim: 4300000
alim: 4300000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 4300000/4300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved rational special-q in [2150000, 4750001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 888968 x 889210
Total sieving time: 0.00 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,167,5,0,0,0,0,0,0,0,0,4300000,4300000,27,27,53,53,2.5,2.5,200000
total time: 50.00 hours.

Msieve-1.38

Opteron-2.6GHz; Linux x86_64

131586605714458804155816928144361334942782011803697417116828042223841300323604186069384933706935671232760809125303351106872422993136724453506518546845747243663<159>

82428469360546100817236547386728121355817832071<47>
1596373276554398260694282851868805545175066253459654053153617203305739262457720934111478909609962402182895680953<112>

Number: n
N=131586605714458804155816928144361334942782011803697417116828042223841300323604186069384933706935671232760809125303351106872422993136724453506518546845747243663
  ( 159 digits)
SNFS difficulty: 168 digits.
Divisors found:

Wed Nov 26 13:09:28 2008  prp47 factor: 82428469360546100817236547386728121355817832071
Wed Nov 26 13:09:28 2008  prp112 factor: 1596373276554398260694282851868805545175066253459654053153617203305739262457720934111478909609962402182895680953
Wed Nov 26 13:09:28 2008  elapsed time 03:20:59 (Msieve 1.38)

Version: GGNFS-0.77.1-20050930-k8
Total time: 64.94 hours.
Scaled time: 54.35 units (timescale=0.837).
Factorization parameters were as follows:
name: KA_3_4_166_9
n: 131586605714458804155816928144361334942782011803697417116828042223841300323604186069384933706935671232760809125303351106872422993136724453506518546845747243663
type: snfs
skew: 0.42
deg: 5
c5: 3100
c0: 41
m: 1000000000000000000000000000000000
rlim: 5500000
alim: 5500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 3250001)
Primes: RFBsize:380800, AFBsize:380784, largePrimes:16898141 encountered
Relations: rels:15611597, finalFF:778444
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 64.09 hours.
Total relation processing time: 0.85 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,5500000,5500000,28,28,56,56,2.5,2.5,100000
total time: 64.94 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM)
Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888)
Calibrating delay loop... 6029.31 BogoMIPS (lpj=3014656)
Total of 2 processors activated (11993.08 BogoMIPS).

37341749897142121501044346885341085486989665803866127120929436699947381633311322080195902338164347592550563750975260551289243<125>

3199531318649953244341022926800550296567933036062498357291<58>
11671006212528191652002268221699814254356844004459282877277697877073<68>

Mon Mar 09 07:15:26 2009  
Mon Mar 09 07:15:26 2009  
Mon Mar 09 07:15:26 2009  Msieve v. 1.40
Mon Mar 09 07:15:26 2009  random seeds: ade51018 e14bc1bb
Mon Mar 09 07:15:26 2009  factoring 37341749897142121501044346885341085486989665803866127120929436699947381633311322080195902338164347592550563750975260551289243 (125 digits)
Mon Mar 09 07:15:27 2009  searching for 15-digit factors
Mon Mar 09 07:15:29 2009  commencing number field sieve (125-digit input)
Mon Mar 09 07:15:29 2009  R0: -1088114432624936520075342
Mon Mar 09 07:15:29 2009  R1:  34737124470091
Mon Mar 09 07:15:29 2009  A0: -71496577573595625906473163785
Mon Mar 09 07:15:29 2009  A1:  35064141251845164949397623
Mon Mar 09 07:15:29 2009  A2: -776953222852106819385
Mon Mar 09 07:15:29 2009  A3: -2160258613523839
Mon Mar 09 07:15:29 2009  A4:  18360593834
Mon Mar 09 07:15:29 2009  A5:  24480
Mon Mar 09 07:15:29 2009  skew 181474.42, size 5.173726e-012, alpha -6.170813, combined = 1.493559e-010
Mon Mar 09 07:15:29 2009  
Mon Mar 09 07:15:29 2009  commencing relation filtering
Mon Mar 09 07:15:29 2009  commencing duplicate removal, pass 1
Mon Mar 09 07:17:02 2009  found 1491858 hash collisions in 9245826 relations
Mon Mar 09 07:17:25 2009  added 58666 free relations
Mon Mar 09 07:17:25 2009  commencing duplicate removal, pass 2
Mon Mar 09 07:17:40 2009  found 1497815 duplicates and 7806676 unique relations
Mon Mar 09 07:17:40 2009  memory use: 65.3 MB
Mon Mar 09 07:17:40 2009  reading rational ideals above 7405568
Mon Mar 09 07:17:40 2009  reading algebraic ideals above 7405568
Mon Mar 09 07:17:40 2009  commencing singleton removal, pass 1
Mon Mar 09 07:19:02 2009  relations with 0 large ideals: 263246
Mon Mar 09 07:19:02 2009  relations with 1 large ideals: 1611965
Mon Mar 09 07:19:02 2009  relations with 2 large ideals: 3137880
Mon Mar 09 07:19:02 2009  relations with 3 large ideals: 2223928
Mon Mar 09 07:19:02 2009  relations with 4 large ideals: 502682
Mon Mar 09 07:19:02 2009  relations with 5 large ideals: 12488
Mon Mar 09 07:19:02 2009  relations with 6 large ideals: 54487
Mon Mar 09 07:19:02 2009  relations with 7+ large ideals: 0
Mon Mar 09 07:19:02 2009  7806676 relations and about 7357141 large ideals
Mon Mar 09 07:19:02 2009  commencing singleton removal, pass 2
Mon Mar 09 07:20:24 2009  found 3492596 singletons
Mon Mar 09 07:20:24 2009  current dataset: 4314080 relations and about 3200149 large ideals
Mon Mar 09 07:20:24 2009  commencing singleton removal, pass 3
Mon Mar 09 07:21:13 2009  found 697808 singletons
Mon Mar 09 07:21:13 2009  current dataset: 3616272 relations and about 2461138 large ideals
Mon Mar 09 07:21:13 2009  commencing singleton removal, pass 4
Mon Mar 09 07:21:56 2009  found 183238 singletons
Mon Mar 09 07:21:56 2009  current dataset: 3433034 relations and about 2274326 large ideals
Mon Mar 09 07:21:56 2009  commencing singleton removal, final pass
Mon Mar 09 07:22:39 2009  memory use: 50.7 MB
Mon Mar 09 07:22:39 2009  commencing in-memory singleton removal
Mon Mar 09 07:22:39 2009  begin with 3433034 relations and 2394020 unique ideals
Mon Mar 09 07:22:41 2009  reduce to 3078894 relations and 2033836 ideals in 11 passes
Mon Mar 09 07:22:41 2009  max relations containing the same ideal: 26
Mon Mar 09 07:22:42 2009  reading rational ideals above 720000
Mon Mar 09 07:22:42 2009  reading algebraic ideals above 720000
Mon Mar 09 07:22:42 2009  commencing singleton removal, final pass
Mon Mar 09 07:23:28 2009  keeping 2804566 ideals with weight <= 20, new excess is 247608
Mon Mar 09 07:23:32 2009  memory use: 91.6 MB
Mon Mar 09 07:23:32 2009  commencing in-memory singleton removal
Mon Mar 09 07:23:33 2009  begin with 3082211 relations and 2804566 unique ideals
Mon Mar 09 07:23:37 2009  reduce to 3031265 relations and 2737239 ideals in 10 passes
Mon Mar 09 07:23:37 2009  max relations containing the same ideal: 20
Mon Mar 09 07:23:40 2009  relations with 0 large ideals: 4169
Mon Mar 09 07:23:40 2009  relations with 1 large ideals: 43318
Mon Mar 09 07:23:40 2009  relations with 2 large ideals: 218635
Mon Mar 09 07:23:40 2009  relations with 3 large ideals: 583081
Mon Mar 09 07:23:40 2009  relations with 4 large ideals: 887820
Mon Mar 09 07:23:40 2009  relations with 5 large ideals: 779594
Mon Mar 09 07:23:40 2009  relations with 6 large ideals: 389468
Mon Mar 09 07:23:40 2009  relations with 7+ large ideals: 125180
Mon Mar 09 07:23:40 2009  commencing 2-way merge
Mon Mar 09 07:23:43 2009  reduce to 1807463 relation sets and 1513482 unique ideals
Mon Mar 09 07:23:43 2009  ignored 45 oversize relation sets
Mon Mar 09 07:23:43 2009  commencing full merge
Mon Mar 09 07:24:18 2009  memory use: 140.6 MB
Mon Mar 09 07:24:18 2009  found 877039 cycles, need 841682
Mon Mar 09 07:24:18 2009  weight of 841682 cycles is about 59272709 (70.42/cycle)
Mon Mar 09 07:24:18 2009  distribution of cycle lengths:
Mon Mar 09 07:24:18 2009  1 relations: 98931
Mon Mar 09 07:24:18 2009  2 relations: 100305
Mon Mar 09 07:24:18 2009  3 relations: 99032
Mon Mar 09 07:24:18 2009  4 relations: 88140
Mon Mar 09 07:24:18 2009  5 relations: 78635
Mon Mar 09 07:24:18 2009  6 relations: 67756
Mon Mar 09 07:24:18 2009  7 relations: 57401
Mon Mar 09 07:24:18 2009  8 relations: 47966
Mon Mar 09 07:24:18 2009  9 relations: 40843
Mon Mar 09 07:24:18 2009  10+ relations: 162673
Mon Mar 09 07:24:18 2009  heaviest cycle: 20 relations
Mon Mar 09 07:24:18 2009  commencing cycle optimization
Mon Mar 09 07:24:20 2009  start with 4988347 relations
Mon Mar 09 07:24:34 2009  pruned 149444 relations
Mon Mar 09 07:24:34 2009  memory use: 129.3 MB
Mon Mar 09 07:24:34 2009  distribution of cycle lengths:
Mon Mar 09 07:24:34 2009  1 relations: 98931
Mon Mar 09 07:24:34 2009  2 relations: 103120
Mon Mar 09 07:24:34 2009  3 relations: 103173
Mon Mar 09 07:24:34 2009  4 relations: 90861
Mon Mar 09 07:24:34 2009  5 relations: 80983
Mon Mar 09 07:24:34 2009  6 relations: 68708
Mon Mar 09 07:24:34 2009  7 relations: 57891
Mon Mar 09 07:24:34 2009  8 relations: 47807
Mon Mar 09 07:24:34 2009  9 relations: 40685
Mon Mar 09 07:24:34 2009  10+ relations: 149523
Mon Mar 09 07:24:34 2009  heaviest cycle: 20 relations
Mon Mar 09 07:24:35 2009  RelProcTime: 534
Mon Mar 09 07:24:35 2009  
Mon Mar 09 07:24:35 2009  commencing linear algebra
Mon Mar 09 07:24:35 2009  read 841682 cycles
Mon Mar 09 07:24:37 2009  cycles contain 2673765 unique relations
Mon Mar 09 07:25:09 2009  read 2673765 relations
Mon Mar 09 07:25:14 2009  using 20 quadratic characters above 134216838
Mon Mar 09 07:25:30 2009  building initial matrix
Mon Mar 09 07:26:13 2009  memory use: 307.6 MB
Mon Mar 09 07:26:14 2009  read 841682 cycles
Mon Mar 09 07:26:15 2009  matrix is 841349 x 841682 (241.5 MB) with weight 80038905 (95.09/col)
Mon Mar 09 07:26:15 2009  sparse part has weight 56569614 (67.21/col)
Mon Mar 09 07:26:32 2009  filtering completed in 3 passes
Mon Mar 09 07:26:32 2009  matrix is 837333 x 837533 (240.7 MB) with weight 79742206 (95.21/col)
Mon Mar 09 07:26:32 2009  sparse part has weight 56405744 (67.35/col)
Mon Mar 09 07:26:35 2009  read 837533 cycles
Mon Mar 09 07:26:36 2009  matrix is 837333 x 837533 (240.7 MB) with weight 79742206 (95.21/col)
Mon Mar 09 07:26:36 2009  sparse part has weight 56405744 (67.35/col)
Mon Mar 09 07:26:36 2009  saving the first 48 matrix rows for later
Mon Mar 09 07:26:37 2009  matrix is 837285 x 837533 (230.5 MB) with weight 63294546 (75.57/col)
Mon Mar 09 07:26:37 2009  sparse part has weight 55403246 (66.15/col)
Mon Mar 09 07:26:37 2009  matrix includes 64 packed rows
Mon Mar 09 07:26:37 2009  using block size 65536 for processor cache size 3072 kB
Mon Mar 09 07:26:43 2009  commencing Lanczos iteration
Mon Mar 09 07:26:43 2009  memory use: 229.4 MB
Mon Mar 09 09:11:21 2009  lanczos halted after 13243 iterations (dim = 837285)
Mon Mar 09 09:11:23 2009  recovered 30 nontrivial dependencies
Mon Mar 09 09:11:23 2009  BLanczosTime: 6361
Mon Mar 09 09:11:23 2009  
Mon Mar 09 09:11:23 2009  commencing square root phase
Mon Mar 09 09:11:23 2009  reading relations for dependency 1
Mon Mar 09 09:11:24 2009  read 418665 cycles
Mon Mar 09 09:11:25 2009  cycles contain 1638314 unique relations
Mon Mar 09 09:11:47 2009  read 1638314 relations
Mon Mar 09 09:11:57 2009  multiplying 1333398 relations
Mon Mar 09 09:15:37 2009  multiply complete, coefficients have about 61.72 million bits
Mon Mar 09 09:15:40 2009  initial square root is modulo 726184289
Mon Mar 09 09:22:06 2009  sqrtTime: 613
Mon Mar 09 09:22:06 2009  prp58 factor: 3199531318649953244341022926800550296567933036062498357291
Mon Mar 09 09:22:06 2009  prp68 factor: 11671006212528191652002268221699814254356844004459282877277697877073
#Mon Mar 09 09:22:06 2009  elapsed time 02:06:40

Total time: 119.2 hours.

Polynomial search with Msieve 1.40beta2
Sieving done with GNFS
Final Factorization with Msieve 1.40beta2

Intel Core2 Duo T8100
Windows Vista Home Premium 32bit

3952538982903853634982438423044556882703394882907881399707274962926140599793200610389320117266986574971842303537679216245690027179315562794566952115206974257585359<163>

272869429905872532325536091824056889627588294853<48>
1797604110257900740437824679232652384721954009407117<52>
8057999312340717756148290734205967665222488391182536291058446159<64>

SNFS difficulty: 171 digits.
Divisors found:
 r1=272869429905872532325536091824056889627588294853 (pp48)
 r2=1797604110257900740437824679232652384721954009407117 (pp52)
 r3=8057999312340717756148290734205967665222488391182536291058446159 (pp64)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.732).
Factorization parameters were as follows:
n: 3952538982903853634982438423044556882703394882907881399707274962926140599793200610389320117266986574971842303537679216245690027179315562794566952115206974257585359
m: 10000000000000000000000000000000000
deg: 5
c5: 31
c0: 410
skew: 1.68
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2500000, 5800001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 977723 x 977971
Total sieving time: 0.00 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,171,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.4,2.4,100000
total time: 49.00 hours.

Msieve-1.39

Opteron-2.6GHz; Linux x86_64

8098095464939533472257174858096288112060750390776624907535616984326680395854794231308671432066690891950563756090331388949682969869957<133>

27780788152852831461500887890696440817757461017360421126755061577<65>
291499845878488279711112644141316213438152182705016277066973021038941<69>

N=8098095464939533472257174858096288112060750390776624907535616984326680395854794231308671432066690891950563756090331388949682969869957
  ( 133 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=27780788152852831461500887890696440817757461017360421126755061577 (pp65)
 r2=291499845878488279711112644141316213438152182705016277066973021038941 (pp69)
Version: Msieve-1.39
Total time: 38.71 hours.
Scaled time: 82.30 units (timescale=2.126).
Factorization parameters were as follows:
n: 8098095464939533472257174858096288112060750390776624907535616984326680395854794231308671432066690891950563756090331388949682969869957
m: 10000000000000000000000000000000000
deg: 5
c5: 31
c0: 41
skew: 1.06
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4

Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved rational special-q in [2500000, 5900001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 810989 x 811214
Total sieving time: 37.62 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.85 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5000000,5000000,26,26,52,52,2.4,2.4,200000
total time: 38.71 hours.
 --------- CPU info (if available) ----------
[    0.148007] CPU0: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.240015] CPU1: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.335125] CPU2: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.432094] CPU3: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.004000] Memory: 8197992k/10485760k available (2226k kernel code, 189844k reserved, 1082k data, 392k init)
[    0.083917] Calibrating delay using timer specific routine.. 5503.93 BogoMIPS (lpj=11007873)
[    0.160010] Calibrating delay using timer specific routine.. 5499.97 BogoMIPS (lpj=10999957)
[    0.252015] Calibrating delay using timer specific routine.. 5500.01 BogoMIPS (lpj=11000021)
[    0.351657] Calibrating delay using timer specific routine.. 5499.99 BogoMIPS (lpj=10999983)
[    0.436823] Total of 4 processors activated (22003.91 BogoMIPS).

70936446393015498442400521887967563546480583685417594196480705770205041604499427574956846761043420276287572649465534605880185595256304741208631058571<149>

83377522136045683392304271789693<32>
850786214026242067189873714302933069285863191449712790626418410523447559037456956822189265479193369646179402708251047<117>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=526494384
Step 1 took 20116ms
Step 2 took 14285ms
********** Factor found in step 2: 83377522136045683392304271789693
Found probable prime factor of 32 digits: 83377522136045683392304271789693
Probable prime cofactor 850786214026242067189873714302933069285863191449712790626418410523447559037456956822189265479193369646179402708251047 has 117 digits

GMP-ECM 6.2.1

143248260665297745770835555150723652318286616694345067110808635011983660921250192399921889761663261909389310452195197835853270598916035403409947<144>

2683818781845479402791126343341053310776019576428248850521<58>
53374788802541903521301846419128885019976167929603336608156766823526822339165850300307<86>

Number: 34449_174
N = 143248260665297745770835555150723652318286616694345067110808635011983660921250192399921889761663261909389310452195197835853270598916035403409947 (144 digits)
SNFS difficulty: 177 digits.
Divisors found:
r1=2683818781845479402791126343341053310776019576428248850521 (pp58)
r2=53374788802541903521301846419128885019976167929603336608156766823526822339165850300307 (pp86)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 76.15 hours.
Factorization parameters were as follows:
n: 143248260665297745770835555150723652318286616694345067110808635011983660921250192399921889761663261909389310452195197835853270598916035403409947
m: 100000000000000000000000000000000000
deg: 5
c5: 31
c0: 410
skew: 1.68
type: snfs
lss: 1
rlim: 6000000
alim: 6000000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [3000000, 7600000)
Relations: 16406837
Relations in full relation-set: 2146378 relations
Pruned matrix : 1264170 x 1264403
Polynomial selection time: 0.00 hours.
Total sieving time: 74.71 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 1.24 hours.
time per square root: 0.14 hours.

GGNFs,Msieve

220877273672292388238849339522204858451558991266066774275537327309848241940059133469960623984588274089820710630688385227436674262110953197527716119189<150>

2525078804339399038910785290268964508138287184911909<52>
87473417975197574961635087385151660370275400575288236069401845420463096596013907130218892874239921<98>

N = 220877273672292388238849339522204858451558991266066774275537327309848241940059133469960623984588274089820710630688385227436674262110953197527716119189 (150 digits)
SNFS difficulty: 177 digits.
Divisors found:
r1=2525078804339399038910785290268964508138287184911909 (pp52)
r2=87473417975197574961635087385151660370275400575288236069401845420463096596013907130218892874239921 (pp98)
Version: Msieve v. 1.48
Total time: 31.87 hours.
Factorization parameters were as follows:
name: (31*10^175+41)/9
n: 220877273672292388238849339522204858451558991266066774275537327309848241940059133469960623984588274089820710630688385227436674262110953197527716119189
Y0: 100000000000000000000000000000000000
Y1: -1
c0: 41
c1: 0
c2: 0
c3: 0
c4: 0
c5: 31
skew: 1.06
type: snfs
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 20447804
Relations: 2250516 relations
Pruned matrix : 1291028 x 1291253
Polynomial selection time: 0.00 hours.
Total sieving time: 29.40 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 2.01 hours.
time per square root: 0.34 hours.
Prototype def-par.txt line would be: snfs,177,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,55,55,2.5,2.5,100000
total time: 31.87 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

12823260291786447707577780137390022719301372210406347535171819833689950787799571998785046678666192577167926459499572623141679787153041699773<140>

20790864957383598698188893722134957<35>
83052714839744024928413618979922861<35>
7426292776400899928883106692061079023416875286644208791734399307597749<70>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2861087847
Step 1 took 48869ms
Step 2 took 19876ms
********** Factor found in step 2: 83052714839744024928413618979922861
Found probable prime factor of 35 digits: 83052714839744024928413618979922861
Composite cofactor 154399050248144423156076545496211040238776413227077038064156954869795884998863867030683263014787247411793 has 105 digits


N=154399050248144423156076545496211040238776413227077038064156954869795884998863867030683263014787247411793
  ( 105 digits)
Divisors found:
 r1=20790864957383598698188893722134957 (pp35)
 r2=7426292776400899928883106692061079023416875286644208791734399307597749 (pp70)
Version: Msieve v. 1.48
Total time: 1.10 hours.
Scaled time: 1.54 units (timescale=1.394).
Factorization parameters were as follows:
name: 105
n: 154399050248144423156076545496211040238776413227077038064156954869795884998863867030683263014787247411793
skew: 13625.39
# norm 3.40e+14
c5: 58200
c4: -1084191560
c3: -32404529266416
c2: 108834618820034409
c1: 2647314173304531732670
c0: -4466854017233589127966743
# alpha -6.48
Y1: 26826820889
Y0: -76691087105909312840
# Murphy_E 2.11e-09
# M 48884145338323242754738541335454026038940828815545263369101982562708147276703956304970864572945332948927
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, 2000001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 299117 x 299344
Polynomial selection time: 0.74 hours.
Total sieving time: 0.00 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
gnfs,104,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 1.10 hours.

139505265005790771367800772623084751840980281336761296042807496948144763718876353856028903482315563550028611323806233819043100360505202804281314726492492519<156>

549083217189582107566574227342855031112028190186207609<54>
254069439091276671886730021293435673890582550854537643667490112739717523069822696535655203809985328991<102>

N=139505265005790771367800772623084751840980281336761296042807496948144763718876353856028903482315563550028611323806233819043100360505202804281314726492492519
  ( 156 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=549083217189582107566574227342855031112028190186207609 (pp54)
 r2=254069439091276671886730021293435673890582550854537643667490112739717523069822696535655203809985328991 (pp102)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 146.20 hours.
Scaled time: 280.99 units (timescale=1.922).
Factorization parameters were as follows:
n: 139505265005790771367800772623084751840980281336761296042807496948144763718876353856028903482315563550028611323806233819043100360505202804281314726492492519
m: 1000000000000000000000000000000000000
deg: 5
c5: 310
c0: 41
skew: 0.67
# Murphy_E = 6.905e-11
type: snfs
lss: 1
rlim: 7700000
alim: 7700000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7700000/7700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3850000, 11450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1633322 x 1633549
Total sieving time: 143.11 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 2.58 hours.
Time per square root: 0.30 hours.
Prototype def-par.txt line would be:
snfs,182.000,5,0,0,0,0,0,0,0,0,7700000,7700000,28,28,53,53,2.5,2.5,100000
total time: 146.20 hours.
 --------- CPU info (if available) ----------

59980809371725073729645579594348218498997864477453252003677068498771891381373469160742316523806532571752050788567289893956016340496835273812822006567613724007365927<164>

28651110393814389638848631175190990510021127344799986322961504718849018183<74>
2093489869930995287360875741145824656038783064288715892388712500060725777598486924658171169<91>

N=59980809371725073729645579594348218498997864477453252003677068498771891381373469160742316523806532571752050788567289893956016340496835273812822006567613724007365927
  ( 164 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=28651110393814389638848631175190990510021127344799986322961504718849018183 (pp74)
 r2=2093489869930995287360875741145824656038783064288715892388712500060725777598486924658171169 (pp91)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 205.42 hours.
Scaled time: 390.10 units (timescale=1.899).
Factorization parameters were as follows:
n: 59980809371725073729645579594348218498997864477453252003677068498771891381373469160742316523806532571752050788567289893956016340496835273812822006567613724007365927
m: 1000000000000000000000000000000000000
deg: 5
c5: 3100
c0: 41
skew: 0.42
# Murphy_E = 5.203e-11
type: snfs
lss: 1
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [4000000, 14800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1866925 x 1867152
Total sieving time: 201.61 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 3.46 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,183.000,5,0,0,0,0,0,0,0,0,8000000,8000000,28,28,53,53,2.5,2.5,100000
total time: 205.42 hours.
 --------- CPU info (if available) ----------

6046252556576146789620003108751950554601394745728041671448778060109290926054190101824342427112482422479917197635500890256440787860982164827708487237868663065740694782237<169>

11117444427635542234140379282797340064657349788888222645642370193<65>
543852734855726516281189894184945937517931193187829661698197984556381385508282322303436711046371538178509<105>

N=6046252556576146789620003108751950554601394745728041671448778060109290926054190101824342427112482422479917197635500890256440787860982164827708487237868663065740694782237
  ( 169 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=11117444427635542234140379282797340064657349788888222645642370193 (pp65)
 r2=543852734855726516281189894184945937517931193187829661698197984556381385508282322303436711046371538178509 (pp105)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 217.74 hours.
Scaled time: 418.94 units (timescale=1.924).
Factorization parameters were as follows:
n: 6046252556576146789620003108751950554601394745728041671448778060109290926054190101824342427112482422479917197635500890256440787860982164827708487237868663065740694782237
m: 1000000000000000000000000000000000000
deg: 5
c5: 31000
c0: 41
skew: 0.27
# Murphy_E = 4.458e-11
type: snfs
lss: 1
rlim: 8300000
alim: 8300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 8300000/8300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4150000, 15350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1992189 x 1992418
Total sieving time: 212.98 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 3.81 hours.
Time per square root: 0.71 hours.
Prototype def-par.txt line would be:
snfs,184.000,5,0,0,0,0,0,0,0,0,8300000,8300000,28,28,54,54,2.5,2.5,100000
total time: 217.74 hours.
 --------- CPU info (if available) ----------

260691746389986947752917035524464280563521370290004430918747512391057129418903801297723513529355025914021002840783188645209381303642057113525116682682390247303122860067650349129319<180>

11462491287896624764009877866815918899950651066846725626897<59>
22743026785569236152077669009125297268693301386451793502974838936091495987844715921550687164968936573229303616204234222327<122>

Number: n
N=260691746389986947752917035524464280563521370290004430918747512391057129418903801297723513529355025914021002840783188645209381303642057113525116682682390247303122860067650349129319
  ( 180 digits)
SNFS difficulty: 186 digits.
Divisors found:

Wed Dec 17 02:46:14 2008  prp59 factor: 11462491287896624764009877866815918899950651066846725626897
Wed Dec 17 02:46:14 2008  prp122 factor: 22743026785569236152077669009125297268693301386451793502974838936091495987844715921550687164968936573229303616204234222327
Wed Dec 17 02:46:14 2008  elapsed time 03:13:45 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20050930-k8
Total time: 58.50 hours.
Scaled time: 117.71 units (timescale=2.012).
Factorization parameters were as follows:
name: KA_3_4_184_9
n: 260691746389986947752917035524464280563521370290004430918747512391057129418903801297723513529355025914021002840783188645209381303642057113525116682682390247303122860067650349129319
type: snfs
skew: 1.06
deg: 5
c5: 31
c0: 41
m: 10000000000000000000000000000000000000
rlim: 8500000
alim: 8500000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 8500000/8500000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 4100001)
Primes: RFBsize:571119, AFBsize:571584, largePrimes:29344877 encountered
Relations: rels:26217521, finalFF:1026972
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5676222 hash collisions in 31554904 relations
Msieve: matrix is 1493389 x 1493637 (408.6 MB)

Total sieving time: 57.58 hours.
Total relation processing time: 0.93 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8500000,8500000,29,29,58,58,2.5,2.5,100000
total time: 58.50 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 3321556k/3407296k available (2912k kernel code, 84428k reserved, 1794k data, 1544k init, 2502088k highmem)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5660.98 BogoMIPS (lpj=2830490)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830449)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830457)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830462)
Total of 4 processors activated (22643.71 BogoMIPS).

552577938086141588847402406133635239481254265100365656951933381012974726363751953397466862542135793956938244951788848604771534125344520038361344965580289490533<159>

384702811037141246076056556429642796811636927<45>
1436376138236205373709618340766971977187783312304342054685339371507917070165040113010246671187885064919955982357979<115>

GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 552577938086141588847402406133635239481254265100365656951933381012974726363751953397466862542135793956938244951788848604771534125344520038361344965580289490533 (159 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=348145220
Step 1 took 29655ms
Step 2 took 9726ms
********** Factor found in step 2: 384702811037141246076056556429642796811636927
Found probable prime factor of 45 digits: 384702811037141246076056556429642796811636927
Probable prime cofactor 1436376138236205373709618340766971977187783312304342054685339371507917070165040113010246671187885064919955982357979 has 115 digits

Core i7-4930K

55681960800388090007035120171305582830639026287535685497980893194113131293097083539606371851446630229471574594723772539985359164488616560544692097<146>

45681436386982499972723591610773429546898445500256970526983032687<65>
1218918781990300228055910691129000017396851750527575044762546371796093413999292431<82>

Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 3.81/0.538322
Info:Generate Free Relations: Total cpu/real time for freerel: 78.19/10.0877
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25308085
Info:Lattice Sieving: Average J: 3796.73 for 1666297 special-q, max bucket fill -bkmult 1.0,1s:1.352010
Info:Lattice Sieving: Total time: 318070s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 84.75/166.536
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 166.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 462.44/188.706
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 170.4s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 370.43/111.506
Info:Filtering - Merging: Total cpu/real time for merge: 685.19/571.099
Info:Filtering - Merging: Total cpu/real time for replay: 54.31/43.8702
Info:Linear Algebra: Total cpu/real time for bwc: 65759.1/6162.49
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 3478.89, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (51000 iterations)
Info:Linear Algebra: Lingen CPU time 6627.14, WCT time 546.68
Info:Linear Algebra: Mksol: WCT time 2003.06, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (26000 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 56.04/15.4122
Info:Square Root: Total cpu/real time for sqrt: 1284.83/203.107
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 1.20624e+06/6393.32
1218918781990300228055910691129000017396851750527575044762546371796093413999292431 45681436386982499972723591610773429546898445500256970526983032687

CADO-NFS

6 * AMD Ryzen 7 1700X Eight-Core with 64GB RAM

67126156031501655417622131710179573294183626847863980754281457806880214457241721287869437461158857296288356643432355240279158194696167529562575652260527438357617844297633045123934372273<185>

235132531583386114575877377394239306961<39>
285482215410488202454571268720246728545289583107834402404220895987309744040548884129366032393397755755971466525084701732853813236763453026420960993<147>

GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]

67126156031501655417622131710179573294183626847863980754281457806880214457241721287869437461158857296288356643432355240279158194696167529562575652260527438357617844297633045123934372273
=
235132531583386114575877377394239306961* 285482215410488202454571268720246728545289583107834402404220895987309744040548884129366032393397755755971466525084701732853813236763453026420960993

3979105249945791794355867335393845887776678126534992098425797598387548485645436715960795404625764104647617528470593131599249499529600402028169196310539367911316604791225908254303<178>

3678996934201092232196098788832033625431905477624075410630807459987<67>
1081573407402110051222303211753486379427782475190276617105523076381830350623015670820029531995510513760201729669<112>

3979105249945791794355867335393845887776678126534992098425797598387548485645436715960795404625764104647617528470593131599249499529600402028169196310539367911316604791225908254303=3678996934201092232196098788832033625431905477624075410630807459987*1081573407402110051222303211753486379427782475190276617105523076381830350623015670820029531995510513760201729669

cado polynomial
n: 3979105249945791794355867335393845887776678126534992098425797598387548485645436715960795404625764104647617528470593131599249499529600402028169196310539367911316604791225908254303
skew: 1.06
type: snfs
c0: 41
c5: 31
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 31*x^5+41
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 10900000
tasks.lim1 = 10900000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1081573407402110051222303211753486379427782475190276617105523076381830350623015670820029531995510513760201729669 3678996934201092232196098788832033625431905477624075410630807459987
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 4.85/2.07445
Info:Generate Free Relations: Total cpu/real time for freerel: 98.59/25.4546
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25635727
Info:Lattice Sieving: Average J: 1893.84 for 2209976 special-q, max bucket fill -bkmult 1.0,1s:1.080320
Info:Lattice Sieving: Total time: 525562s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 50.51/107.048
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 106.49999999999999s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 420.84/392.27
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 338.6s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 337.55/347.575
Info:Filtering - Merging: Merged matrix has 2044278 rows and total weight 351182634 (171.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 296.18/85.1454
Info:Filtering - Merging: Total cpu/real time for replay: 78.54/67.4429
Info:Linear Algebra: Total cpu/real time for bwc: 71731.3/18454.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 11784.65, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (64000 iterations)
Info:Linear Algebra: Lingen CPU time 426.77, WCT time 123.16
Info:Linear Algebra: Mksol: WCT time 6430.26, iteration CPU time 0.19, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (32000 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 72.91/30.1937
Info:Square Root: Total cpu/real time for sqrt: 1384.7/424.274
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.0459e+06/282740
Info:root: Cleaning up computation data in /tmp/cado.0jw5waks
1081573407402110051222303211753486379427782475190276617105523076381830350623015670820029531995510513760201729669 3678996934201092232196098788832033625431905477624075410630807459987

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

2589807852965747702589807852965747702589807852965747702589807852965747702589807852965747702589807852965747702589807852965747702589807852965747702589807852965747702589807852965747702589807853<190>

16352608158325280068530540592321<32>
158372770134973853451453319258450143367925711568851708222095631882900541087769377379856401740310931607028215689622351972876314002803779729804456699654096482093<159>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3712999241
Step 1 took 30616ms
Step 2 took 19179ms
********** Factor found in step 2: 16352608158325280068530540592321
Found probable prime factor of 32 digits: 16352608158325280068530540592321
Probable prime cofactor 158372770134973853451453319258450143367925711568851708222095631882900541087769377379856401740310931607028215689622351972876314002803779729804456699654096482093 has 159 digits

GMP-ECM 6.2.1

778711179907145946703809146425264094365928916950301812360903975979379774142384741289352609527127356119460156803125537925466464018609<132>

678746221650716426629955561870270556284725722127301962019579<60>
1147278843060538760037244869842569388345277289734270255683365492813941571<73>

N = 778711179907145946703809146425264094365928916950301812360903975979379774142384741289352609527127356119460156803125537925466464018609 (132 digits)
Divisors found:
r1=678746221650716426629955561870270556284725722127301962019579 (pp60)
r2=1147278843060538760037244869842569388345277289734270255683365492813941571 (pp73)
Version: Msieve v. 1.48
Total time: 54.28 hours.
Factorization parameters were as follows:
n: 778711179907145946703809146425264094365928916950301812360903975979379774142384741289352609527127356119460156803125537925466464018609
Y0: -28190218129938487726195799
Y1: 402613261432427
c0: -4090406779116688783403810000088000
c1: -61771776958174656222136490536
c2: 20533574232382503730382
c3: -55219507358287059
c4: 38429261928
c5: 43740
skew: 1103725.87
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: 20700249
Relations: 2766508 relations
Pruned matrix : 1581960 x 1582185
Polynomial selection time: 0.00 hours.
Total sieving time: 50.65 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 3.40 hours.
time per square root: 0.11 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: 54.28 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

991702798207816100954140433867447427568618911920738412315302224850630435656823482780611952845279892587218789800109600145919242116610358648356725231435988982387580834579308926542432803<183>

3873127550004752012250854048612809521007238796137<49>
256047027990751134013217203493039036670214555779498743389116526830232690705565278413513161213240311786948144099434359119203368980552619<135>

Number: n
N=991702798207816100954140433867447427568618911920738412315302224850630435656823482780611952845279892587218789800109600145919242116610358648356725231435988982387580834579308926542432803
  ( 183 digits)
SNFS difficulty: 195 digits.
Divisors found:

Fri Mar  9 14:48:23 2012  prp49 factor: 3873127550004752012250854048612809521007238796137
Fri Mar  9 14:48:23 2012  prp135 factor: 256047027990751134013217203493039036670214555779498743389116526830232690705565278413513161213240311786948144099434359119203368980552619
Fri Mar  9 14:48:23 2012  elapsed time 07:32:59 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.656).
Factorization parameters were as follows:
name: KA_34449_194
n: 991702798207816100954140433867447427568618911920738412315302224850630435656823482780611952845279892587218789800109600145919242116610358648356725231435988982387580834579308926542432803
m: 100000000000000000000000000000000000000
#  c183, diff: 195.49
skew: 0.17
deg: 5
c5: 310000
c0: 41
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
qintsize: 100000
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, 21300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10397550 hash collisions in 77410331 relations (68862144 unique)
Msieve: matrix is 1683967 x 1684193 (474.8 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,195,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.93 BogoMIPS (lpj=2798468)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.12 BogoMIPS (lpj=2797560)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Total of 8 processors activated (44762.71 BogoMIPS).

175840706570977580208378373015926699959699408797849076090584099485330758204042866109379933829655979756568950619005487857422392410614364688585039437857136764708053668686927204180656588733209<189>

51250340323272896517243426348190612104661639258744988591123157163230211013519<77>
3431015393494429421505973542295364591653610124846644296457965821744138443514355160403601340659383760280205175511<112>

Number: n
N=175840706570977580208378373015926699959699408797849076090584099485330758204042866109379933829655979756568950619005487857422392410614364688585039437857136764708053668686927204180656588733209
  ( 189 digits)
SNFS difficulty: 197 digits.
Divisors found:

Sat Nov 20 04:07:46 2010  prp77 factor: 51250340323272896517243426348190612104661639258744988591123157163230211013519
Sat Nov 20 04:07:46 2010  prp112 factor: 3431015393494429421505973542295364591653610124846644296457965821744138443514355160403601340659383760280205175511
Sat Nov 20 04:07:46 2010  elapsed time 06:16:19 (Msieve 1.44 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.093).
Factorization parameters were as follows:
name: KA_3_4_195_9
n: 175840706570977580208378373015926699959699408797849076090584099485330758204042866109379933829655979756568950619005487857422392410614364688585039437857136764708053668686927204180656588733209
m: 1000000000000000000000000000000000000000
deg: 5
c5: 310
c0: 41
skew: 0.67
type: snfs
lss: 1
rlim: 13700000
alim: 13700000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 13700000/13700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 27950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4860488 hash collisions in 32772212 relations
Msieve: matrix is 1969511 x 1969737 (557.4 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,197,5,0,0,0,0,0,0,0,0,13700000,13700000,28,28,56,56,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5660.32 BogoMIPS (lpj=2830164)
Calibrating delay using timer specific routine.. 5660.90 BogoMIPS (lpj=2830451)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830461)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830458)
Total of 4 processors activated (22643.06 BogoMIPS).

2266659083110452252621990288006120258694940157814835170811485472625762798287432033056081981511523199426320752018982864515931399376116317539562915108356384544842126219740374944560107629<184>

4765012642610168837823834060487083961778755687574727925068844701360241<70>
475687947360581691110270721648809188026389076035303565100258172638144698564911905959884399926478526516537299611069<114>

Number: n
N=2266659083110452252621990288006120258694940157814835170811485472625762798287432033056081981511523199426320752018982864515931399376116317539562915108356384544842126219740374944560107629  ( 184 digits)
SNFS difficulty: 198 digits.
Divisors found:

Fri Mar 12 08:22:46 2021  p70 factor: 4765012642610168837823834060487083961778755687574727925068844701360241
Fri Mar 12 08:22:46 2021  p114 factor: 475687947360581691110270721648809188026389076035303565100258172638144698564911905959884399926478526516537299611069
Fri Mar 12 08:22:46 2021  elapsed time 01:41:42 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.343).
Factorization parameters were as follows:
#
# N = 31x10^197+41 = 34(196)9
#
n: 2266659083110452252621990288006120258694940157814835170811485472625762798287432033056081981511523199426320752018982864515931399376116317539562915108356384544842126219740374944560107629
m: 1000000000000000000000000000000000000000
deg: 5
c5: 3100
c0: 41
skew: 0.42
# Murphy_E = 1.261e-11
type: snfs
lss: 1
rlim: 14200000
alim: 14200000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14200000/14200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4484426 hash collisions in 29166215 relations (26025712 unique)
Msieve: matrix is 2112751 x 2112977 (737.9 MB)

Sieving start time : 2021/03/11 21:33:52
Sieving end time  : 2021/03/12 06:40:30

Total sieving time: 9hrs 6min 38secs.

Total relation processing time: 1hrs 26min 52sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 14sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14200000,14200000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116745] 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)
[    0.152613] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.17 BogoMIPS (lpj=12798352)
[    0.150217] smpboot: Total of 16 processors activated (102386.81 BogoMIPS)

44952531408972576051380618066997759577770198936720995108670181712612920032789074711027993901997129361630628527674043459831389553631918644815525997005737865411491095366494728554521959229763<188>

1001325305864517210834567641254373115277355091139738608349717<61>
44893034407196745277270916552783241845738840139004600782715359648963692820482463679578970795186612323874183451176923182446312439<128>

Number: n
N=44952531408972576051380618066997759577770198936720995108670181712612920032789074711027993901997129361630628527674043459831389553631918644815525997005737865411491095366494728554521959229763
  ( 188 digits)
SNFS difficulty: 199 digits.
Divisors found:

Sat Sep 15 04:52:29 2012  prp61 factor: 1001325305864517210834567641254373115277355091139738608349717
Sat Sep 15 04:52:29 2012  prp128 factor: 44893034407196745277270916552783241845738840139004600782715359648963692820482463679578970795186612323874183451176923182446312439
Sat Sep 15 04:52:29 2012  elapsed time 08:00:06 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.095).
Factorization parameters were as follows:
name: KA_34449_198
n: 44952531408972576051380618066997759577770198936720995108670181712612920032789074711027993901997129361630628527674043459831389553631918644815525997005737865411491095366494728554521959229763
m: 1000000000000000000000000000000000000000
#  c188, diff: 199.49
skew: 0.266
deg: 5
c5: 31000
c0: 41
# Murphy_E = 1.079e-11
type: snfs
lss: 1
rlim: 14800000
alim: 14800000
lpbr: 28
lpba: 28
mfbr: 56  # Was 55, "
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 14800000/14800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 30200000)
Primes: RFBsize:958651, AFBsize:959421,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 5395876 hash collisions in 31805363 relations (27709356 unique)
Msieve: matrix is 2345005 x 2345231 (664.9 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,199,5,0,0,0,0,0,0,0,0,14800000,14800000,28,28,56,56,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.42 BogoMIPS (lpj=2830713)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830455)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830461)
Total of 4 processors activated (22644.15 BogoMIPS).

7792209582684292101804484010237369845829892719144445256614256599829055365397038388501158279457954551710525998179968507055820754733416855832302497706847346294965428458786179<172>

142018885622971503634552823639<30>
54867418150082322617178305566660740301855900348368997744658055286701238044662021541391733259709740789882218697925348449694048592355472049447861<143>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1592717021
Step 1 took 24586ms
Step 2 took 16761ms
********** Factor found in step 2: 142018885622971503634552823639
Found probable prime factor of 30 digits: 142018885622971503634552823639
Probable prime cofactor 54867418150082322617178305566660740301855900348368997744658055286701238044662021541391733259709740789882218697925348449694048592355472049447861 has 143 digits

GMP-ECM 6.2.1

7539350682064534726354614847395126163743754403124408363230016514691411173482221343944059630977326039444075416165574722301851700590741254789963085833154458478125104033<166>

992902175567631298816735133040185471<36>
7593246210538687275643532109227482876820861381201715852190549449431395446960255415879060340186580059106364002082481061683741664223<130>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1035341997
Step 1 took 57809ms
Step 2 took 20468ms
********** Factor found in step 2: 992902175567631298816735133040185471
Found probable prime factor of 36 digits: 992902175567631298816735133040185471

29564496548794308948634634164626449645062769655954644079373566978749602263351225296177200520648745666836216409495993035865892511393350040589720984431337942106570030492592339960793783999819883<191>

6300384148104391321584574071898245976190598722073687466062797139853<67>
4692491101148084089976973959510738540065639004135686373641207999449804028553088712605165208102681736944273477226122280535511<124>

Number: n
N=29564496548794308948634634164626449645062769655954644079373566978749602263351225296177200520648745666836216409495993035865892511393350040589720984431337942106570030492592339960793783999819883
  ( 191 digits)
SNFS difficulty: 203 digits.
Divisors found:

Mon May 17 21:15:17 2021  p67 factor: 6300384148104391321584574071898245976190598722073687466062797139853
Mon May 17 21:15:17 2021  p124 factor: 4692491101148084089976973959510738540065639004135686373641207999449804028553088712605165208102681736944273477226122280535511
Mon May 17 21:15:17 2021  elapsed time 02:27:49 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 31x10^202+41 = 34(201)9
#
n: 29564496548794308948634634164626449645062769655954644079373566978749602263351225296177200520648745666836216409495993035865892511393350040589720984431337942106570030492592339960793783999819883
m: 10000000000000000000000000000000000000000
deg: 5
c5: 3100
c0: 41
skew: 0.42
# Murphy_E = 7.796e-12
type: snfs
lss: 1
rlim: 17200000
alim: 17200000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17200000/17200000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 43000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8452768 hash collisions in 54591954 relations (47896688 unique)
Msieve: matrix is 2551601 x 2551827 (891.0 MB)

Sieving start time : 2021/05/17 04:34:29
Sieving end time  : 2021/05/17 18:46:29

Total sieving time: 14hrs 12min 0secs.

Total relation processing time: 2hrs 9min 33sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 11sec.

Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17200000,17200000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118393] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241108K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486128K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.30 BogoMIPS (lpj=12798612)
[    0.152049] smpboot: Total of 16 processors activated (102388.89 BogoMIPS)

2863545726579726339413680447001641259496008143579766976551334910292448939632428263896936537063015468059479933152418101558936972860582455134391966085827871037753507313902485983925627<181>

3407545708046504596430382483776796288867141753289324386571907741<64>
840354311262153141838325705979576189969757523907623892873735303609737361148165992030609221928482741000461477632409847<117>

Number: n
N=2863545726579726339413680447001641259496008143579766976551334910292448939632428263896936537063015468059479933152418101558936972860582455134391966085827871037753507313902485983925627  ( 181 digits)
SNFS difficulty: 205 digits.
Divisors found:

Mon Nov  1 21:45:57 2021  p64 factor: 3407545708046504596430382483776796288867141753289324386571907741
Mon Nov  1 21:45:57 2021  p117 factor: 840354311262153141838325705979576189969757523907623892873735303609737361148165992030609221928482741000461477632409847
Mon Nov  1 21:45:57 2021  elapsed time 02:09:43 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.324).
Factorization parameters were as follows:
#
# N = 31x10^204+41 = 34(203)9
#
n: 2863545726579726339413680447001641259496008143579766976551334910292448939632428263896936537063015468059479933152418101558936972860582455134391966085827871037753507313902485983925627
m: 10000000000000000000000000000000000
deg: 6
c6: 31
c0: 41
skew: 1.05
# Murphy_E = 7.444e-12
type: snfs
lss: 1
rlim: 18600000
alim: 18600000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18600000/18600000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 43700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9061790 hash collisions in 62959819 relations (55607740 unique)
Msieve: matrix is 2389822 x 2390057 (821.8 MB)

Sieving start time : 2021/11/01 03:30:06
Sieving end time  : 2021/11/01 19:35:04

Total sieving time: 16hrs 4min 58secs.

Total relation processing time: 1hrs 50min 40sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 29sec.

Prototype def-par.txt line would be:
snfs,205,6,0,0,0,0,0,0,0,0,18600000,18600000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118892] 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, 5016K rodata, 2728K init, 4972K bss, 487280K reserved, 0K cma-reserved)
[    0.152618] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.04 BogoMIPS (lpj=12798084)
[    0.150210] smpboot: Total of 16 processors activated (102384.67 BogoMIPS)

80029769019966497242372405981820460927576595709511303386423620464960249072255273082469718399706645394687485842303216346743485112697844710293832143031591021489<158>

8519984970999267212564731469825572531<37>
9393181947195406672282556302423122441334666281866804995360094050154190195358117582924781297370692183091621661757035601419<121>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1410225400
Step 1 took 58498ms
Step 2 took 19807ms
********** Factor found in step 2: 8519984970999267212564731469825572531
Found probable prime factor of 37 digits: 8519984970999267212564731469825572531

13702477473595616277399920641845580814693935825708456289561582258619507546900032888243471587387388042996601926332131343568989507418590026256340523035891336768056816521655956561724961<182>

225204704209680042761010676242229333024927558457<48>

60844543730479669493132610109232834160314953111769300257919837175465081399203872995640797572935252676729626385355319734594845052856873<134>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2190005929
Step 1 took 84100ms
Step 2 took 29174ms
********** Factor found in step 2: 225204704209680042761010676242229333024927558457
Found probable prime factor of 48 digits: 225204704209680042761010676242229333024927558457

60844543730479669493132610109232834160314953111769300257919837175465081399203872995640797572935252676729626385355319734594845052856873<134>

7182275394690307997475305100286178853851907031908041630751419<61>
8471485759994757327528628326395002831871219363173458311269067308710812267<73>

Number: 34449_207
N = 60844543730479669493132610109232834160314953111769300257919837175465081399203872995640797572935252676729626385355319734594845052856873 (134 digits)
Divisors found:
r1=7182275394690307997475305100286178853851907031908041630751419 (pp61)
r2=8471485759994757327528628326395002831871219363173458311269067308710812267 (pp73)
Version: Msieve v. 1.51 (SVN 845)
Total time: 137.47 hours.
Factorization parameters were as follows:
# Murphy_E = 4.714e-11, selected by Erik Branger
# expecting poly E from 4.90e-011 to > 5.63e-011
n: 60844543730479669493132610109232834160314953111769300257919837175465081399203872995640797572935252676729626385355319734594845052856873
Y0: -87545253546574583733323337
Y1: 183738752108347
c0: -2297960922827583181411074592612160
c1: 15920571722880896261072863688
c2: -15816442194671720127382
c3: -40232263746264278
c4: 5886344019
c5: 11832
skew: 974384.28
type: gnfs
# selected mechanically
rlim: 12400000
alim: 12400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 12400000/12400000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 20045260
Relations: 3066758 relations
Pruned matrix : 1812069 x 1812300
Polynomial selection time: 0.00 hours.
Total sieving time: 133.66 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 3.06 hours.
time per square root: 0.59 hours.
Prototype def-par.txt line would be: gnfs,133,5,65,2000,1e-05,0.28,250,20,50000,3600,12400000,12400000,28,28,54,54,2.6,2.6,100000
total time: 137.47 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz

GGNFS, Msieve

2111888976302312193738102908688455109389665350381626432415719607757172757563983768818929633460870255692890274305684229562047207813736077281298988255992714969626107692001445498765079<181>

172442800193465027008284875398970891080718340507206466626658949994861379885493<78>
12246895631090229338085357266477903460335116607504476633558893935884034278751372963610596706835407570203<104>

09/13/24 00:45:04 v1.34.5 @ TRIGKEY,
09/13/24 00:45:04 v1.34.5 @ TRIGKEY, ****************************
09/13/24 00:45:04 v1.34.5 @ TRIGKEY, Starting factorization of 310000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000041
09/13/24 00:45:04 v1.34.5 @ TRIGKEY, using pretesting plan: normal
09/13/24 00:45:04 v1.34.5 @ TRIGKEY, no tune info: using qs/gnfs crossover of 100 digits
09/13/24 00:45:04 v1.34.5 @ TRIGKEY, ****************************
09/13/24 00:45:04 v1.34.5 @ TRIGKEY, div: found prime factor = 3
09/13/24 00:45:04 v1.34.5 @ TRIGKEY, div: found prime factor = 3
09/13/24 00:45:04 v1.34.5 @ TRIGKEY, div: found prime factor = 3
09/13/24 00:45:04 v1.34.5 @ TRIGKEY, div: found prime factor = 2141
09/13/24 00:45:04 v1.34.5 @ TRIGKEY, rho: x^2 + 3, starting 1000 iterations on C205
09/13/24 00:45:04 v1.34.5 @ TRIGKEY, rho: x^2 + 2, starting 1000 iterations on C205
09/13/24 00:45:04 v1.34.5 @ TRIGKEY, rho: x^2 + 1, starting 1000 iterations on C205
09/13/24 00:45:04 v1.34.5 @ TRIGKEY, pm1: starting B1 = 150K, B2 = gmp-ecm default on C205
09/13/24 00:45:04 v1.34.5 @ TRIGKEY, prp25 = 2539277585562020298030097
09/13/24 00:45:04 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 0.00
09/13/24 00:45:04 v1.34.5 @ TRIGKEY, scheduled 30 curves at B1=2000 toward target pretesting depth of 55.69
09/13/24 00:45:04 v1.34.5 @ TRIGKEY, Finished 30 curves using Lenstra ECM method on C181 input, B1=2K, B2=gmp-ecm default
09/13/24 00:45:04 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 15.18
09/13/24 00:45:04 v1.34.5 @ TRIGKEY, scheduled 74 curves at B1=11000 toward target pretesting depth of 55.69
09/13/24 00:45:07 v1.34.5 @ TRIGKEY, Finished 74 curves using Lenstra ECM method on C181 input, B1=11K, B2=gmp-ecm default
09/13/24 00:45:07 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 20.24
09/13/24 00:45:07 v1.34.5 @ TRIGKEY, scheduled 214 curves at B1=50000 toward target pretesting depth of 55.69
09/13/24 00:45:48 v1.34.5 @ TRIGKEY, nfs: commencing nfs on c210: 310000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000041
09/13/24 00:45:48 v1.34.5 @ TRIGKEY, nfs: input divides 31*10^208 + 41
09/13/24 00:45:48 v1.34.5 @ TRIGKEY, nfs: using supplied cofactor: 2111888976302312193738102908688455109389665350381626432415719607757172757563983768818929633460870255692890274305684229562047207813736077281298988255992714969626107692001445498765079
09/13/24 00:45:48 v1.34.5 @ TRIGKEY, nfs: commencing snfs on c181: 2111888976302312193738102908688455109389665350381626432415719607757172757563983768818929633460870255692890274305684229562047207813736077281298988255992714969626107692001445498765079
09/13/24 00:45:48 v1.34.5 @ TRIGKEY, gen: best 3 polynomials:
n: 2111888976302312193738102908688455109389665350381626432415719607757172757563983768818929633460870255692890274305684229562047207813736077281298988255992714969626107692001445498765079
# 31*10^208+41, difficulty: 212.49, anorm: 2.25e+033, rnorm: 1.94e+047
# scaled difficulty: 214.81, suggest sieving rational side
# size = 5.941e-015, alpha = 0.541, combined = 3.635e-012, rroots = 1
type: snfs
size: 212
skew: 0.2656
c5: 31000
c0: 41
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
n: 2111888976302312193738102908688455109389665350381626432415719607757172757563983768818929633460870255692890274305684229562047207813736077281298988255992714969626107692001445498765079
# 31*10^208+41, difficulty: 210.89, anorm: 1.43e+039, rnorm: 4.71e+040
# scaled difficulty: 210.89, suggest sieving algebraic side
# size = 1.075e-010, alpha = -1.242, combined = 3.547e-012, rroots = 0
type: snfs
size: 210
skew: 1.1286
c6: 496
c0: 1025
Y1: -1
Y0: 50000000000000000000000000000000000
m: 50000000000000000000000000000000000
n: 2111888976302312193738102908688455109389665350381626432415719607757172757563983768818929633460870255692890274305684229562047207813736077281298988255992714969626107692001445498765079
# 31*10^208+41, difficulty: 210.09, anorm: 1.59e+033, rnorm: 2.74e+047
# scaled difficulty: 212.47, suggest sieving rational side
# size = 5.500e-015, alpha = 0.772, combined = 3.452e-012, rroots = 1
type: snfs
size: 210
skew: 0.5313
c5: 3875
c0: 164
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
09/13/24 00:45:49 v1.34.5 @ TRIGKEY, test: fb generation took 1.7689 seconds
09/13/24 00:45:49 v1.34.5 @ TRIGKEY, test: commencing test sieving of polynomial 0 on the rational side over range 22600000-22602000
skew: 0.2656
c5: 31000
c0: 41
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
rlim: 22600000
alim: 22600000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
09/13/24 00:48:45 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file
09/13/24 00:48:47 v1.34.5 @ TRIGKEY, test: fb generation took 2.4581 seconds
09/13/24 00:48:47 v1.34.5 @ TRIGKEY, test: commencing test sieving of polynomial 1 on the algebraic side over range 22600000-22602000
skew: 1.1286
c6: 496
c0: 1025
Y1: -1
Y0: 50000000000000000000000000000000000
m: 50000000000000000000000000000000000
rlim: 22600000
alim: 22600000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
09/13/24 00:51:29 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file
09/13/24 00:51:31 v1.34.5 @ TRIGKEY, test: fb generation took 1.6173 seconds
09/13/24 00:51:31 v1.34.5 @ TRIGKEY, test: commencing test sieving of polynomial 2 on the rational side over range 21400000-21402000
skew: 0.5313
c5: 3875
c0: 164
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
09/13/24 00:54:27 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file
09/13/24 00:54:27 v1.34.5 @ TRIGKEY, gen: selected polynomial:
n: 2111888976302312193738102908688455109389665350381626432415719607757172757563983768818929633460870255692890274305684229562047207813736077281298988255992714969626107692001445498765079
# 31*10^208+41, difficulty: 210.89, anorm: 1.43e+039, rnorm: 4.71e+040
# scaled difficulty: 210.89, suggest sieving algebraic side
# size = 1.075e-010, alpha = -1.242, combined = 3.547e-012, rroots = 0
type: snfs
size: 210
skew: 1.1286
c6: 496
c0: 1025
Y1: -1
Y0: 50000000000000000000000000000000000
m: 50000000000000000000000000000000000
09/15/24 08:41:37 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
09/15/24 08:48:12 v1.34.5 @ TRIGKEY, nfs: commencing msieve linear algebra
09/15/24 14:18:28 v1.34.5 @ TRIGKEY, nfs: commencing msieve sqrt
09/15/24 14:31:08 v1.34.5 @ TRIGKEY, prp104 = 12246895631090229338085357266477903460335116607504476633558893935884034278751372963610596706835407570203
09/15/24 14:31:08 v1.34.5 @ TRIGKEY, prp78 = 172442800193465027008284875398970891080718340507206466626658949994861379885493
09/15/24 14:31:09 v1.34.5 @ TRIGKEY, NFS elapsed time = 222321.2410 seconds.
09/15/24 14:31:09 v1.34.5 @ TRIGKEY,
09/15/24 14:31:09 v1.34.5 @ TRIGKEY,
09/13/24 00:54:27 v1.34.5 @ TRIGKEY, test: test sieving took 518.82 seconds

YAFU

15485033714914535101824087019895271220365516728082308448884153465675424702025492361632482205947951305063655976498713992925837178367108189934428374975586096038179099899946701512987697390472108706934747566477<206>

121633537148610054677904897506018862575140205694370215202298599573206843253927799883286375950119213<99>
127308915599446476621045447178657643743286893873923475799214518703881350917237603324790685747065721794076129<108>

Number: n
N=15485033714914535101824087019895271220365516728082308448884153465675424702025492361632482205947951305063655976498713992925837178367108189934428374975586096038179099899946701512987697390472108706934747566477
  ( 206 digits)
SNFS difficulty: 211 digits.
Divisors found:

Thu Jan 16 20:03:40 2020  p99 factor: 121633537148610054677904897506018862575140205694370215202298599573206843253927799883286375950119213
Thu Jan 16 20:03:40 2020  p108 factor: 127308915599446476621045447178657643743286893873923475799214518703881350917237603324790685747065721794076129
Thu Jan 16 20:03:40 2020  elapsed time 04:14:16 (Msieve 1.54 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.130).
Factorization parameters were as follows:
#
# N = 31x10^210+41 = 34(209)9
#
n: 15485033714914535101824087019895271220365516728082308448884153465675424702025492361632482205947951305063655976498713992925837178367108189934428374975586096038179099899946701512987697390472108706934747566477
m: 1000000000000000000000000000000000000000000
deg: 5
c5: 31
c0: 41
skew: 1.06
# Murphy_E = 5.476e-12
type: snfs
lss: 1
rlim: 23000000
alim: 23000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 23000000/23000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 51500000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8396546 hash collisions in 57171321 relations (50805541 unique)
Msieve: matrix is 3062705 x 3062930 (1074.0 MB)

Sieving start time: 2020/01/15 18:29:05
Sieving end time  : 2020/01/16 15:48:03

Total sieving time: 21hrs 18min 58secs.

Total relation processing time: 3hrs 47min 54sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 23sec.

Prototype def-par.txt line would be:
snfs,211,5,0,0,0,0,0,0,0,0,23000000,23000000,29,29,57,57,2.6,2.6,100000
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)

3320486046521924404019073553172007255878868991610912095826499981200252467978572135942202525900951240354540196455916617825807405180986003615064140462628808947141<160>

15050947092932561539163118540358823<35>

220616418755542457990838958532273650020632050447445175353702743053050372824807636791035351811997938278515412785283886879622067<126>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1932979856
Step 1 took 58539ms
Step 2 took 19810ms
********** Factor found in step 2: 15050947092932561539163118540358823
Found probable prime factor of 35 digits: 15050947092932561539163118540358823

220616418755542457990838958532273650020632050447445175353702743053050372824807636791035351811997938278515412785283886879622067<126>

993664318565814989635065305832906495581<39>
222023086301382583928586798583196594628123584726304738815193343627033966544048003613007<87>

Number: 34449_212
N = 220616418755542457990838958532273650020632050447445175353702743053050372824807636791035351811997938278515412785283886879622067 (126 digits)
Divisors found:
r1=993664318565814989635065305832906495581 (pp39)
r2=222023086301382583928586798583196594628123584726304738815193343627033966544048003613007 (pp87)
Version: Msieve v. 1.51 (SVN 845)
Total time: 33.54 hours.
Factorization parameters were as follows:
n: 220616418755542457990838958532273650020632050447445175353702743053050372824807636791035351811997938278515412785283886879622067
Y0: -1793761293763557820323757
Y1: 10819691769979
c0: 490839831277360962061378457016
c1: 56394754753103803323482490
c2: 651036975208301370047
c3: -3716638567429853
c4: -8401190065
c5: 11880
skew: 238718.91 
type: gnfs
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 18027570
Relations: 2103872 relations
Pruned matrix : 1149577 x 1149814
Polynomial selection time: 0.00 hours.
Total sieving time: 32.45 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.84 hours.
time per square root: 0.15 hours.
Prototype def-par.txt line would be: gnfs,125,5,65,2000,1e-05,0.28,250,20,50000,3600,5800000,5800000,28,28,55,55,2.5,2.5,100000
total time: 33.54 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz

GGNFS, Msieve

29238403232216118010991587493984050510090735402590888563789333872904822979623542954067816792142384470691302662016480871319471943687664708396860702211091418237661428073319797118525077125004233627<194>

248873786655029011677460893534417763047915673638112835433004777811417798938404159147510414215902300347047403138023811816625896351711474631766927555025753241409893709998023218616682218521<186>

425778958642147367007547481230026416623<39>
584514057361389965081237648011382918787829889711774451957472592484835599119193163770380303826231770206061883728623444277670200772321760163024183927<147>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=428434720
Step 1 took 70698ms
Step 2 took 23309ms
********** Factor found in step 2: 425778958642147367007547481230026416623
Found probable prime factor of 39 digits: 425778958642147367007547481230026416623

6232281542311126171162532375567372573593020285602952509574673013904511595683949547952474941745415614170295118796651680777738750351559214997018106032669391559172716364404685224986049873063<187>

796641625088737708297425668273840076113<39>

7823193448643753598693077873258506985638021147435504284966675849490541831363240513237272083265486361775976768712260069331609761939979836808393260151<148>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3555589766
Step 1 took 70833ms
Step 2 took 23351ms
********** Factor found in step 2: 796641625088737708297425668273840076113
Found probable prime factor of 39 digits: 796641625088737708297425668273840076113

7823193448643753598693077873258506985638021147435504284966675849490541831363240513237272083265486361775976768712260069331609761939979836808393260151<148>

774631103924254370080253336304532018513<39>
10099250351569574565250013834516989781304412428739212759531966904140629401647314590440017342290478322900493127<110>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2259722184
Step 1 took 33746ms
Step 2 took 13813ms
********** Factor found in step 2: 774631103924254370080253336304532018513
Found probable prime factor of 39 digits: 774631103924254370080253336304532018513
Probable prime cofactor 

328001984179588267510220474452372369126269611729428472008774713974658357032297191688355810298469740472868509090594454622734044389693012656655099826274273967267697244423443216043750148365975677<192>

10200867298502466088217914697<29>

32154323214040874439534040294718940677414713030387503286279244580851877714618350007812435579726854938720010555008803551941465261423395348575187483006427612163112341<164>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2201302346
Step 1 took 70952ms
Step 2 took 23355ms
********** Factor found in step 2: 10200867298502466088217914697
Found probable prime factor of 29 digits: 10200867298502466088217914697

437588717466881413871716274382471085675097529220759221634028578861617327902775047402245173175455375306581174726465282446812488821546477399201205962511<150>

25772606178650393234445558829583591<35>
16978830717918344363566511511746725253868666706311981027132426751248047758642938879950759561014514374618125243828121<116>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4203094186
Step 1 took 48688ms
Step 2 took 17983ms
********** Factor found in step 2: 25772606178650393234445558829583591
Found probable prime factor of 35 digits: 25772606178650393234445558829583591

5287699979986705013781595576383714341843185402799577168069781669611133841390690520345569516332431013198769556971007688467838505946952535014246185218010225414230675563307134838281687<181>

170102857738719498922760035732324458636102814825550339525193968587130078212279912787617936336795960495428745956221242908293<123>

467004505784181438016074469432022453543<39>
364242433706474295087029940395287618858953015707256786209665140048099465352941083251<84>

N=170102857738719498922760035732324458636102814825550339525193968587130078212279912787617936336795960495428745956221242908293
  ( 123 digits)
Divisors found:
 r1=467004505784181438016074469432022453543 (pp39)
 r2=364242433706474295087029940395287618858953015707256786209665140048099465352941083251 (pp84)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 56.09 hours.
Scaled time: 107.93 units (timescale=1.924).
Factorization parameters were as follows:
n: 170102857738719498922760035732324458636102814825550339525193968587130078212279912787617936336795960495428745956221242908293
skew: 118894.92
c0: 62703770318695335223854819744
c1: 1044911970834830603463528
c2: -118821082602887670788
c3: 946272795656578
c4: 8043992473
c5: 9180
Y0: -450374149222149951451495
Y1: 1958662616207
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
type: gnfs
Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2650000, 5450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 692538 x 692765
Total sieving time: 55.32 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.53 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
gnfs,122,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5300000,5300000,27,27,54,54,2.5,2.5,100000
total time: 56.09 hours.
 --------- CPU info (if available) ----------

437579715788602207748854895650596816616291315705447734928952188009760290939089916717607715503524159809314501867932127744439974058898367328146410741210088861182327191185258894787389084710507<189>

5210470347643843790100029756475720532315614637906417881599584931<64>
83980847523002257013676164116553399441952751062450100553905534728275802093087598033385675698512387343332947707525844746406297<125>

Number: 34449_220
N = 437579715788602207748854895650596816616291315705447734928952188009760290939089916717607715503524159809314501867932127744439974058898367328146410741210088861182327191185258894787389084710507 (189 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=5210470347643843790100029756475720532315614637906417881599584931 (pp64)
r2=83980847523002257013676164116553399441952751062450100553905534728275802093087598033385675698512387343332947707525844746406297 (pp125)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 45.01 hours.
Factorization parameters were as follows:
n: 437579715788602207748854895650596816616291315705447734928952188009760290939089916717607715503524159809314501867932127744439974058898367328146410741210088861182327191185258894787389084710507
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 31
c0: 41
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
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 31110942
Relations: 9200890 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 15.66 hours.
Total relation processing time: 0.27 hours.
Pruned matrix : 7871697 x 7871922
Matrix solve time: 28.87 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: 45.01 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

11670010951999084776046264062732351618901987715950814917160998094603405273743627525410464987770833716489998571611100805720183227578758854896458302043182254366295756185145214243097446064128217241<194>

56696367860920648350071177676340083902855557087<47>
6252836713803807795237960100056893242236935044409784785267358619716191<70>
32918416690340593201111630537079305765368549712933709968643187546910648851673<77>

Number: 34449_221
N = 11670010951999084776046264062732351618901987715950814917160998094603405273743627525410464987770833716489998571611100805720183227578758854896458302043182254366295756185145214243097446064128217241 (194 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=56696367860920648350071177676340083902855557087 (pp47)
r2=6252836713803807795237960100056893242236935044409784785267358619716191 (pp70)
r3=32918416690340593201111630537079305765368549712933709968643187546910648851673 (pp77)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 65.97 hours.
Factorization parameters were as follows:
n: 11670010951999084776046264062732351618901987715950814917160998094603405273743627525410464987770833716489998571611100805720183227578758854896458302043182254366295756185145214243097446064128217241
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 310
c0: 41
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 8921830 relations
Pruned matrix : 7600262 x 7600487
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 38.87 hours.
Total relation processing time: 0.41 hours.
Matrix solve time: 26.14 hours.
time per square root: 0.55 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 65.97 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.19041-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

7016729608501021253066926355207116007800842414339046407634067434713802119210773138907888914209257679735958879159861184889852568175687839769830591272371667536330377637781070246517246348849685900436398955443591769<211>

60561926789032256972356962917170390205370133538371296101<56>
827009145576829653193944403710790702046797733151401870253556488761<66>
140095680482442871517374166543202631570602625499356676341493647231929830481758383668418829<90>

Number: n
N=7016729608501021253066926355207116007800842414339046407634067434713802119210773138907888914209257679735958879159861184889852568175687839769830591272371667536330377637781070246517246348849685900436398955443591769  ( 211 digits)
SNFS difficulty: 223 digits.
Divisors found:

Sun Apr 19 05:33:31 2020  found factor: 60561926789032256972356962917170390205370133538371296101
Sun Apr 19 05:43:28 2020  p56 factor: 60561926789032256972356962917170390205370133538371296101
Sun Apr 19 05:43:28 2020  p66 factor: 827009145576829653193944403710790702046797733151401870253556488761
Sun Apr 19 05:43:28 2020  p90 factor: 140095680482442871517374166543202631570602625499356676341493647231929830481758383668418829
Sun Apr 19 05:43:28 2020  elapsed time 11:51:29 (Msieve 1.54 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.120).
Factorization parameters were as follows:
#
# N = 31x10^222+41 = 34(221)9
#
n: 7016729608501021253066926355207116007800842414339046407634067434713802119210773138907888914209257679735958879159861184889852568175687839769830591272371667536330377637781070246517246348849685900436398955443591769
m: 10000000000000000000000000000000000000
deg: 6
c6: 31
c0: 41
skew: 1.05
# Murphy_E = 2.079e-12
type: snfs
lss: 1
rlim: 37000000
alim: 37000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 37000000/37000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 94500000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9835469 hash collisions in 59159582 relations (50299021 unique)
Msieve: matrix is 5000835 x 5001060 (1749.4 MB)

Sieving start time: 2020/04/16 18:33:00
Sieving end time  : 2020/04/18 17:31:35

Total sieving time: 46hrs 58min 35secs.

Total relation processing time: 11hrs 11min 51sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 19min 53sec.

Prototype def-par.txt line would be:
snfs,223,6,0,0,0,0,0,0,0,0,37000000,37000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.141282] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283232K/16703460K available (12300K kernel code, 2481K rwdata, 4264K rodata, 2432K init, 2712K bss, 420228K reserved, 0K cma-reserved)
[    0.176568] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.77 BogoMIPS (lpj=11977540)
[    0.174220] smpboot: Total of 16 processors activated (95820.32 BogoMIPS)

4854251038347718677968069956127956089210088673456150109812507573319026904031238525911317270966998731359966960325979731549724898993677599600216888136872317250972754258279076271<175>

1230093666990129716511938937959904493781755488020238802527782171394593180426579738566129571662457583741532972646855516122323831530355285295247220832513981829905512656435723683488185658624429345163723463214122297475781529<220>

176329157621509655085903256194143<33>
6976121723614902271839047597019274646502097244404642522396394800905427313769214990762967142049264792109865931158877662213544284999920316269279632997359971478620961486948827702268212093703<187>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3316177302
Step 1 took 97820ms
Step 2 took 28405ms
********** Factor found in step 2: 176329157621509655085903256194143
Found probable prime factor of 33 digits: 176329157621509655085903256194143

508353635204978625969391016682207571228975700010217066430309867463263501398733957358070790521283751182535867899809057601210463742311067088948948047667228947256513243929982899611694303<183>

41104821825281428856457072612915653145620879<44>
12367250668687167451459556850828003081820800118794114651624800657487647709899677247980332506630515412174808202082828947784622456084670119857<140>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3827434088
Step 1 took 84489ms
Step 2 took 30179ms
********** Factor found in step 2: 41104821825281428856457072612915653145620879
Found probable prime factor of 44 digits: 41104821825281428856457072612915653145620879

36075060834500289950322150074428461303548081784990415851442743825840592682939266912031378449306974834046287500112147595998828312310002527206457135813175901707773738968102844276394138036440931701<194>

8040908627507672585906364127041523629447806199719463489142165990788987536755174114265721114945251325213284898188193667490752642606768840055752014748967<151>

121944510541295646362283216253322733683689<42>
65939078289093429321896821665342939446620353001263147812262387646447077276658426062194848397493642424022761103<110>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1316408582
Step 1 took 35994ms
Step 2 took 16073ms
********** Factor found in step 2: 121944510541295646362283216253322733683689
Found probable prime factor of 42 digits: 121944510541295646362283216253322733683689
Probable prime cofactor

63651560469503163932340324724662068765854661071555204921752891710452611101757889563893844868444376193853814056774836900253760656076939845517835790023114449547903272032682761156079027779895925233446188025878613<209>

10825132485325750264958567322727154014247863083382859873027297704616946225547605344123042368839498695208152668637153553932297771317679146401532951714141639729771118564167790033856551688189247825009615808709495859063387<218>

883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883191<234>

199789735497206487690085637238297797679630984616841<51>
4420601894251129816886974978891882669031359619551041732681321188905681274080532893352644511451705076944998230485330932985695908221858504715077376982754797764007685992363905766001092351<184>

prp51 factor: 199789735497206487690085637238297797679630984616841
prp184 factor: 4420601894251129816886974978891882669031359619551041732681321188905681274080532893352644511451705076944998230485330932985695908221858504715077376982754797764007685992363905766001092351

MSieve 1.53

Phenom II X4 running Ubuntu 14.04

1195656200159152369042902023875408566415087470862460748966599777036500522078072010038213711270045294757620422279578249517448082449700459058381854830738068111612257977409538469414441013280692928058932052120541921243860297<220>

127264313461875492363444823537651313952858822196278184048417183096179368122362477101454611742654009085905345662009998053369544430222541825180887285519973198063281228433566399582107<180>

1400777452965479681435685602357<31>

90852628440337805779638412635971510967805927280898542180022257908812493859128947538813009084210423844578392751020471444708958979502513111542128516751<149>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2475815091
Step 1 took 72828ms
Step 2 took 22908ms
********** Factor found in step 2: 1400777452965479681435685602357
Found probable prime factor of 31 digits: 1400777452965479681435685602357

90852628440337805779638412635971510967805927280898542180022257908812493859128947538813009084210423844578392751020471444708958979502513111542128516751<149>

906429340077535856556232284471204070673<39>
100231341179408736799619702043734711282647801557502433307792357935158565077281767368718480750961929356056963487<111>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4167412800
Step 1 took 33555ms
********** Factor found in step 1: 906429340077535856556232284471204070673
Found probable prime factor of 39 digits: 906429340077535856556232284471204070673
Probable prime cofactor

1263359424402809283558930026349748107303534664761149035738547029994319481899659935513130762527294212058378761319280028772597764459081490058763159399110303697003644496664063373158912520958249144010405972504607<208>

3606936297701900556281785500206756443<37>

350258313463350522405049366190652293162148634181044990965751060569235750044676478030024136355550269217686282778052621047842284679375786734788549677794807690630239077342349<171>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3049816881
Step 1 took 81498ms
********** Factor found in step 1: 3606936297701900556281785500206756443
Found probable prime factor of 37 digits: 3606936297701900556281785500206756443

350258313463350522405049366190652293162148634181044990965751060569235750044676478030024136355550269217686282778052621047842284679375786734788549677794807690630239077342349<171>

279826954616147531280976887960026099051<39>
1251696120353441891574532226000237895531602840391065351385743169668483485895119271039365880253994156546800406329816365861123271271399<133>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3702668760
Step 1 took 71317ms
Step 2 took 26972ms
********** Factor found in step 2: 279826954616147531280976887960026099051
Found probable prime factor of 39 digits: 279826954616147531280976887960026099051

11847351066557494016036088208484270591446808395810521885427248330957925841798892826596088022882633101189781320030182005941445206058245824497926497283997473951060823319355462441417237<182>

2783505839490924904788320158015376882864700597994945960976203187344681763759727656193924207816196104618322723125252659399474403507441389664152027136143258671017757173494726505239466514537302841139192147201257709627815889<220>