203021165912983606404556534952073851674686737244100649709789353072565174351312138657931257310266391<99>

443952373522730358003023095039<30>
457303931730390724716183370178707280616570660476664818059347925723369<69>

GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 203021165912983606404556534952073851674686737244100649709789353072565174351312138657931257310266391 (99 digits)
Using B1=679000, B2=483603764, polynomial Dickson(3), sigma=1080636449
Step 1 took 6719ms
Step 2 took 4421ms
********** Factor found in step 2: 443952373522730358003023095039
Found probable prime factor of 30 digits: 443952373522730358003023095039
Probable prime cofactor 457303931730390724716183370178707280616570660476664818059347925723369 has 69 digits

49999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991<119>

113451761893099661361741916560523265424931846016438394824059<60>
440715940992725025596348804318707127294139212236448645152949<60>

Number: 49991_118
N=49999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991
  ( 119 digits)
SNFS difficulty: 120 digits.
Divisors found:

r1=113451761893099661361741916560523265424931846016438394824059
(pp60)

r2=440715940992725025596348804318707127294139212236448645152949
(pp60)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 0.74 hours.
Scaled time: 1.58 units (timescale=2.145).
Factorization parameters were as follows:
n:
49999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991
m: 1000000000000000000000000
c5: 1
c0: -180
skew: 2.83
type: snfs
Factor base limits: 600000/600000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [300000, 420001)
Primes: RFBsize:49098, AFBsize:49121,
largePrimes:1721640 encountered
Relations: rels:1663175, finalFF:113797
Max relations in full relation-set: 28
Initial matrix: 98283 x 113797 with sparse part having
weight 8423002.
Pruned matrix : 92995 x 93550 with weight 5618322.
Total sieving time: 0.68 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,120,5,0,0,0,0,0,0,0,0,600000,600000,25,25,45,45,2.4,2.4,30000
total time: 0.74 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz
stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz
stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz
stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz
stepping 07
Memory: 8167512k/8912896k available (2114k kernel
code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine..
4815.35 BogoMIPS (lpj=2407675)
Calibrating delay using timer specific routine..
4810.24 BogoMIPS (lpj=2405123)
Calibrating delay using timer specific routine..
4810.23 BogoMIPS (lpj=2405117)
Calibrating delay using timer specific routine..
4810.25 BogoMIPS (lpj=2405125)
Total of 4 processors activated (19246.08 BogoMIPS).

222260810449228699256116448003375808277834632035238832328952660728684559294914778984431234033300019320737<105>

529652772019323584350569475910017<33>
419634942345057429532843777824194673588852290057980851002408093562224161<72>

GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 222260810449228699256116448003375808277834632035238832328952660728684559294914778984431234033300019320737 (105 digits)
Using B1=1994000, B2=2244416577, polynomial Dickson(6), sigma=2017283081
Step 1 took 19828ms
Step 2 took 13828ms
********** Factor found in step 2: 529652772019323584350569475910017
Found probable prime factor of 33 digits: 529652772019323584350569475910017
Probable prime cofactor 419634942345057429532843777824194673588852290057980851002408093562224161 has 72 digits

443126840998862673372330594167340785125969505774279345379238258715809495060385177703056868837181152248381<105>

449489779543195000651111258759942012797389869<45>
985844086264210902762592892891295128151928079697441377159249<60>

Number: n
N=443126840998862673372330594167340785125969505774279345379238258715809495060385177703056868837181152248381
  ( 105 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=449489779543195000651111258759942012797389869 (pp45)
 r2=985844086264210902762592892891295128151928079697441377159249 (pp60)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 1.96 hours.
Scaled time: 2.60 units (timescale=1.323).
Factorization parameters were as follows:
name: KA_4_9_123_1
n: 443126840998862673372330594167340785125969505774279345379238258715809495060385177703056868837181152248381
skew: 1.78
deg: 5
c5: 1
c0: -18
m: 10000000000000000000000000
type: snfs
rlim: 800000
alim: 800000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
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: 48/48
Sieved algebraic special-q in [100000, 250001)
Primes: RFBsize:63951, AFBsize:63888, largePrimes:4613515 encountered
Relations: rels:4003172, finalFF:210650
Max relations in full relation-set: 48
Initial matrix: 127906 x 210650 with sparse part having weight 17161578.
Pruned matrix : 98518 x 99221 with weight 4907911.
Total sieving time: 1.71 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.10 hours.
Total square root time: 0.06 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,125,5,0,0,0,0,0,0,0,0,800000,800000,28,28,48,48,2.5,2.5,50000
total time: 1.96 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

7234033712081902712464612958999569631054058842077060936513763588440193920136568538523951971389190729990239079<109>

942477006562110761447064968719904363145782491<45>
7675554588296651640866311850875593032012524032228064348193639269<64>

Number: 49991_128
N=7234033712081902712464612958999569631054058842077060936513763588440193920136568538523951971389190729990239079
  ( 109 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=942477006562110761447064968719904363145782491 (pp45)
 r2=7675554588296651640866311850875593032012524032228064348193639269 (pp64)
Version: GGNFS-0.77.1-20060513-k8
Total time: 3.04 hours.
Scaled time: 6.11 units (timescale=2.010).
Factorization parameters were as follows:
name: 49991_128
n: 7234033712081902712464612958999569631054058842077060936513763588440193920136568538523951971389190729990239079
m: 50000000000000000000000000
c5: 8
c0: -45
skew: 1.41
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [400000, 750001)
Primes: RFBsize:63951, AFBsize:63928, largePrimes:1408145 encountered
Relations: rels:1391646, finalFF:160862
Max relations in full relation-set: 28
Initial matrix: 127944 x 160862 with sparse part having weight 8338899.
Pruned matrix : 116420 x 117123 with weight 4694100.
Total sieving time: 2.90 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,129,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 3.04 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

1788974692090620870822788818335702532150558678906592979991749248720078056543765297969835739921721623372882793176278052464903<124>

1719378230348833617587044366277777273<37>
1040477691594168476615746126692780490295108691699389255395317590980581957687501917021311<88>

Number: 49991_129
N=1788974692090620870822788818335702532150558678906592979991749248720078056543765297969835739921721623372882793176278052464903
  ( 124 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=1719378230348833617587044366277777273 (pp37)
 r2=1040477691594168476615746126692780490295108691699389255395317590980581957687501917021311 (pp88)
Version: GGNFS-0.77.1-20060513-k8
Total time: 3.02 hours.
Scaled time: 6.07 units (timescale=2.010).
Factorization parameters were as follows:
name: 49991_129
n: 1788974692090620870822788818335702532150558678906592979991749248720078056543765297969835739921721623372882793176278052464903
m: 100000000000000000000000000
c5: 1
c0: -18
skew: 1.78
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [400000, 750001)
Primes: RFBsize:63951, AFBsize:63888, largePrimes:1400726 encountered
Relations: rels:1379152, finalFF:155356
Max relations in full relation-set: 28
Initial matrix: 127906 x 155356 with sparse part having weight 8163928.
Pruned matrix : 118614 x 119317 with weight 4886712.
Total sieving time: 2.88 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,130,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 3.02 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

2198352694306118352775557233934329691552518925057765344324838864814459845991060504289533496412119129734953277157126876312161<124>

331708005539959846200945699830264904120183676134446346135329<60>
6627373043733457754101972925473022695394088807721914419175039809<64>

Number: 49991_131
N=2198352694306118352775557233934329691552518925057765344324838864814459845991060504289533496412119129734953277157126876312161
  ( 124 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=331708005539959846200945699830264904120183676134446346135329 (pp60)
 r2=6627373043733457754101972925473022695394088807721914419175039809 (pp64)
Version: GGNFS-0.77.1-20060513-k8
Total time: 4.40 hours.
Scaled time: 8.73 units (timescale=1.985).
Factorization parameters were as follows:
name: 49991_131
n: 2198352694306118352775557233934329691552518925057765344324838864814459845991060504289533496412119129734953277157126876312161
m: 100000000000000000000000000
c5: 50
c0: -9
skew: 0.71
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [400000, 950001)
Primes: RFBsize:63951, AFBsize:64058, largePrimes:1540929 encountered
Relations: rels:1578173, finalFF:205413
Max relations in full relation-set: 28
Initial matrix: 128074 x 205413 with sparse part having weight 14981903.
Pruned matrix : 107027 x 107731 with weight 6295031.
Total sieving time: 4.24 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 4.40 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

35997602453123718699088433361036392227609920185590275938275294088118860783040021616761859674530571627319128529175336476231687<125>

4580943858133272901234098370518760018593679951<46>
7858119105566310646465581070947787541968136461241464994014105774627915529998537<79>

Number: 49991_133
N=35997602453123718699088433361036392227609920185590275938275294088118860783040021616761859674530571627319128529175336476231687
  ( 125 digits)
SNFS difficulty: 134 digits.
Divisors found:
 r1=4580943858133272901234098370518760018593679951 (pp46)
 r2=7858119105566310646465581070947787541968136461241464994014105774627915529998537 (pp79)
Version: GGNFS-0.77.1-20060513-k8
Total time: 4.68 hours.
Scaled time: 9.29 units (timescale=1.985).
Factorization parameters were as follows:
name: 49991_133
n: 35997602453123718699088433361036392227609920185590275938275294088118860783040021616761859674530571627319128529175336476231687
m: 500000000000000000000000000
c5: 8
c0: -45
skew: 1.41
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [400000, 925001)
Primes: RFBsize:78498, AFBsize:63928, largePrimes:1457680 encountered
Relations: rels:1439431, finalFF:160358
Max relations in full relation-set: 28
Initial matrix: 142491 x 160358 with sparse part having weight 10506246.
Pruned matrix : 136383 x 137159 with weight 7567068.
Total sieving time: 4.48 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,134,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 4.68 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

6127152151743557074542844552870042019610302481794247517939862406771161342106351861871786326029301318444361340921<112>

7661951585715267309757814664269644345249<40>
799685573994862057768981025766325851378881906722550433228529476184746329<72>

Number: 49991_134
N=6127152151743557074542844552870042019610302481794247517939862406771161342106351861871786326029301318444361340921
  ( 112 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=7661951585715267309757814664269644345249 (pp40)
 r2=799685573994862057768981025766325851378881906722550433228529476184746329 (pp72)
Version: GGNFS-0.77.1-20060513-k8
Total time: 5.82 hours.
Scaled time: 11.55 units (timescale=1.986).
Factorization parameters were as follows:
name: 49991_134
n: 6127152151743557074542844552870042019610302481794247517939862406771161342106351861871786326029301318444361340921
m: 1000000000000000000000000000
c5: 1
c0: -18
skew: 1.78
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [400000, 1075001)
Primes: RFBsize:78498, AFBsize:63888, largePrimes:1619441 encountered
Relations: rels:1697010, finalFF:245323
Max relations in full relation-set: 28
Initial matrix: 142453 x 245323 with sparse part having weight 18456007.
Pruned matrix : 112751 x 113527 with weight 7450413.
Total sieving time: 5.64 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,135,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 5.82 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

22416640605779012272061571478739422204655514974373750892597086537285582773909365228492465712874266775868664833<110>

1719936531432379284578110469620659745107108719<46>
13033411521941582112132234407177385128654436282436915981843640207<65>

Number: 49991_135
N=22416640605779012272061571478739422204655514974373750892597086537285582773909365228492465712874266775868664833
  ( 110 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=1719936531432379284578110469620659745107108719 (pp46)
 r2=13033411521941582112132234407177385128654436282436915981843640207 (pp65)
Version: GGNFS-0.77.1-20060513-k8
Total time: 5.81 hours.
Scaled time: 11.61 units (timescale=2.000).
Factorization parameters were as follows:
name: 49991_135
n: 22416640605779012272061571478739422204655514974373750892597086537285582773909365228492465712874266775868664833
m: 1000000000000000000000000000
c5: 5
c0: -9
skew: 1.12
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [400000, 1075001)
Primes: RFBsize:78498, AFBsize:63763, largePrimes:1597471 encountered
Relations: rels:1658522, finalFF:230632
Max relations in full relation-set: 28
Initial matrix: 142327 x 230632 with sparse part having weight 17325623.
Pruned matrix : 115642 x 116417 with weight 7445126.
Total sieving time: 5.63 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,135,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 5.81 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

2783852765203771242392062028278372201075337622567765162596504687226524568762724852814366472811671739409898543364743269<118>

117630389300918643864328074179<30>
13290764272933581140590846123083681578082559<44>
1780642654590329845797643787582718386220435529<46>

Number: 49991_142
N=2783852765203771242392062028278372201075337622567765162596504687226524568762724852814366472811671739409898543364743269
  ( 118 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=117630389300918643864328074179 (pp30)
 r2=13290764272933581140590846123083681578082559 (pp44)
 r3=1780642654590329845797643787582718386220435529 (pp46)
Version: GGNFS-0.77.1-20060513-k8
Total time: 15.52 hours.
Scaled time: 30.95 units (timescale=1.994).
Factorization parameters were as follows:
name: 49991_142
n: 2783852765203771242392062028278372201075337622567765162596504687226524568762724852814366472811671739409898543364743269
m: 10000000000000000000000000000
c5: 500
c0: -9
skew: 0.45
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [650000, 2350001)
Primes: RFBsize:100021, AFBsize:99988, largePrimes:2795102 encountered
Relations: rels:2767439, finalFF:225205
Max relations in full relation-set: 28
Initial matrix: 200076 x 225205 with sparse part having weight 24651803.
Pruned matrix : 193526 x 194590 with weight 19788059.
Total sieving time: 14.86 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.47 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,142,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 15.52 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

29411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823<143>

285720265191441664337755675562698371459936363289423581013937<60>
102939022145228428989427304065983196665834399279521532082685405829806319911074359479<84>

Number: 49991_143
N=29411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823
  ( 143 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=285720265191441664337755675562698371459936363289423581013937 (pp60)
 r2=102939022145228428989427304065983196665834399279521532082685405829806319911074359479 (pp84)
Version: GGNFS-0.77.1-20060513-k8
Total time: 11.80 hours.
Scaled time: 23.49 units (timescale=1.991).
Factorization parameters were as follows:
name: 49991_143
n: 29411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823
m: 50000000000000000000000000000
c5: 8
c0: -45
skew: 1.41
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [650000, 1950001)
Primes: RFBsize:100021, AFBsize:99898, largePrimes:2740628 encountered
Relations: rels:2726242, finalFF:266126
Max relations in full relation-set: 28
Initial matrix: 199984 x 266126 with sparse part having weight 25911863.
Pruned matrix : 180593 x 181656 with weight 15619042.
Total sieving time: 11.27 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.36 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,144,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 11.80 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

34621051674262958248832730437816687088862152041094871343262841750725698980225021240368058000790564138392180385545468782765612929<128>

89514634314987140562070529941642327551603414368208045052321<59>
386764152467374483050690533716910166621405836972248541038074724385249<69>

Number: n
N=34621051674262958248832730437816687088862152041094871343262841750725698980225021240368058000790564138392180385545468782765612929
  ( 128 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=89514634314987140562070529941642327551603414368208045052321 (pp59)
 r2=386764152467374483050690533716910166621405836972248541038074724385249 (pp69)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 8.86 hours.
Scaled time: 12.82 units (timescale=1.447).
Factorization parameters were as follows:
name: KA_4_9_145_1
n: 34621051674262958248832730437816687088862152041094871343262841750725698980225021240368058000790564138392180385545468782765612929
skew: 0.71
deg: 5
c5: 50
c0: -9
m: 100000000000000000000000000000
type: snfs
rlim: 1800000
alim: 1800000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1100001)
Primes: RFBsize:135072, AFBsize:134503, largePrimes:6508918 encountered
Relations: rels:5845525, finalFF:310973
Max relations in full relation-set: 28
Initial matrix: 269640 x 310973 with sparse part having weight 24290713.
Pruned matrix : 244308 x 245720 with weight 16377793.
Total sieving time: 7.07 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 1.51 hours.
Total square root time: 0.05 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1800000,1800000,28,28,48,48,2.5,2.5,100000
total time: 8.86 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

3369888397915338921258428641420141674023216060199260547003287810058336759881465047437666734012844616469309629039403567538331159944829<133>

3528305141284807144178302848697901<34>
955101178320483387652564653901091192062550077009781733001890240341202021273986351553940732976675729<99>

Number: 49991_148
N=3369888397915338921258428641420141674023216060199260547003287810058336759881465047437666734012844616469309629039403567538331159944829
  ( 133 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=3528305141284807144178302848697901 (pp34)
 r2=955101178320483387652564653901091192062550077009781733001890240341202021273986351553940732976675729 (pp99)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 10.19 hours.
Scaled time: 21.63 units (timescale=2.123).
Factorization parameters were as follows:
n: 3369888397915338921258428641420141674023216060199260547003287810058336759881465047437666734012844616469309629039403567538331159944829
m: 1000000000000000000000000000000
c5: 1
c0: -180
skew: 2.83
type: snfs
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1575001)
Primes: RFBsize:135072, AFBsize:134763, largePrimes:3725528 encountered
Relations: rels:3800513, finalFF:378509
Max relations in full relation-set: 28
Initial matrix: 269899 x 378509 with sparse part having weight 33652982.
Pruned matrix : 230441 x 231854 with weight 17271651.
Total sieving time: 9.90 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.21 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,150,5,0,0,0,0,0,0,0,0,1800000,1800000,26,26,48,48,2.3,2.3,75000
total time: 10.19 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2114k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407675)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405123)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405117)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125)
Total of 4 processors activated (19246.08 BogoMIPS).

Core 2 Quad Q6600

4095153636445241190206816689343683703674815019630873708328681246983802788485970229898316586832416033236168376063<112>

7216593624182899656979319751461431<34>
567463522224990994815587976391783657930851218965846028456860191438113244343673<78>

Number: 49991_151
N=4095153636445241190206816689343683703674815019630873708328681246983802788485970229898316586832416033236168376063
  ( 112 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=7216593624182899656979319751461431 (pp34)
 r2=567463522224990994815587976391783657930851218965846028456860191438113244343673 (pp78)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 12.78 hours.
Scaled time: 27.42 units (timescale=2.146).
Factorization parameters were as follows:
n: 4095153636445241190206816689343683703674815019630873708328681246983802788485970229898316586832416033236168376063
m: 1000000000000000000000000000000
c5: 50
c0: -9
skew: 0.71
type: snfs
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1200000, 2000001)
Primes: RFBsize:176302, AFBsize:175768, largePrimes:5401564 encountered
Relations: rels:5292212, finalFF:469027
Max relations in full relation-set: 28
Initial matrix: 352135 x 469027 with sparse part having weight 39728717.
Pruned matrix : 293297 x 295121 with weight 22323023.
Total sieving time: 12.29 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.38 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 12.78 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2114k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407675)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405123)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405117)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125)
Total of 4 processors activated (19246.08 BogoMIPS).

Core 2 Quad Q6600

967476447904293055909635216958020112332090895404733428215992995669631565708561959491679428666082918940760232731437093604988438320239803286761<141>

2456042554669170698593684758425118153245909492210089<52>
393916809814646016551948100067256455621282070935459752206741992118247884075792950119651649<90>

Number: n
N=967476447904293055909635216958020112332090895404733428215992995669631565708561959491679428666082918940760232731437093604988438320239803286761
  ( 141 digits)
SNFS difficulty: 152 digits.
Divisors found:

Fri Dec 14 22:19:20 2007  prp52 factor: 2456042554669170698593684758425118153245909492210089
Fri Dec 14 22:19:20 2007  prp90 factor: 393916809814646016551948100067256455621282070935459752206741992118247884075792950119651649
Fri Dec 14 22:19:20 2007  elapsed time 01:04:26 (Msieve 1.30)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 22.64 hours.
Scaled time: 29.75 units (timescale=1.314).
Factorization parameters were as follows:
name: KA_4_9_151_1
n: 967476447904293055909635216958020112332090895404733428215992995669631565708561959491679428666082918940760232731437093604988438320239803286761
skew: 0.45
deg: 5
c5: 500
c0: -9
m: 1000000000000000000000000000000
type: snfs
rlim: 2800000
alim: 2800000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 1100000)
Primes: RFBsize:203362, AFBsize:203297, largePrimes:6755039 encountered
Relations: rels:6230916, finalFF:474146
Max relations in full relation-set: 28
Initial matrix: 406726 x 474146 with sparse part having weight 31631044.
Pruned matrix : 349533 x 351630 with weight 19468857.
Total sieving time: 22.45 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,152,5,0,0,0,0,0,0,0,0,2800000,2800000,28,28,48,48,2.5,2.5,100000
total time: 22.64 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

13414550023286601451611153334651921530218328321107412408973204633499457710650373288090171487109705477235464644162568832368943<125>

394436722224962502210435443374249441<36>
34009384186180731129927406696605787600972387399376193654041569409619395347174902797719823<89>

GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM]
Input number is 13414550023286601451611153334651921530218328321107412408973204633499457710650373288090171487109705477235464644162568832368943 (125 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=914284303
Step 1 took 6676ms
Step 2 took 3840ms
********** Factor found in step 2: 394436722224962502210435443374249441
Found probable prime factor of 36 digits: 394436722224962502210435443374249441
Probable prime cofactor 34009384186180731129927406696605787600972387399376193654041569409619395347174902797719823 has 89 digits

Core 2 Quad Q6600

4576115345759931963273148602487874485867641118618536902522504884305530749801301398793635737836618902146792781481<112>

29858758013316752254424575775237339<35>
153258730444147188544171970047926818140030968120876657797177159787574781970379<78>

Number: 49991_154
N=4576115345759931963273148602487874485867641118618536902522504884305530749801301398793635737836618902146792781481
  ( 112 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=29858758013316752254424575775237339 (pp35)
 r2=153258730444147188544171970047926818140030968120876657797177159787574781970379 (pp78)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 16.32 hours.
Scaled time: 34.73 units (timescale=2.128).
Factorization parameters were as follows:
n: 4576115345759931963273148602487874485867641118618536902522504884305530749801301398793635737836618902146792781481
m: 10000000000000000000000000000000
c5: 1
c0: -18
skew: 1.78
type: snfs
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1500000, 2500001)
Primes: RFBsize:216816, AFBsize:216936, largePrimes:5614449 encountered
Relations: rels:5616644, finalFF:590726
Max relations in full relation-set: 28
Initial matrix: 433819 x 590726 with sparse part having weight 45178149.
Pruned matrix : 324617 x 326850 with weight 28243374.
Total sieving time: 15.65 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.55 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000
total time: 16.32 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2114k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407675)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405123)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405117)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125)
Total of 4 processors activated (19246.08 BogoMIPS).

Core 2 Quad Q6600

9569408942203085786057374998973680890948719049445346531360072724445749881946986584511632200303193325161185688811127446517482515876462834875006581361<148>

12577330540482969770037590027834896246509937898150565038352486568081<68>
760845786107138460535930299805308106874138122028043088814610693093595148504742881<81>

Number: n
N=9569408942203085786057374998973680890948719049445346531360072724445749881946986584511632200303193325161185688811127446517482515876462834875006581361
  ( 148 digits)
SNFS difficulty: 155 digits.
Divisors found:

Tue Dec 11 14:10:53 2007  prp68 factor: 12577330540482969770037590027834896246509937898150565038352486568081
Tue Dec 11 14:10:53 2007  prp81 factor: 760845786107138460535930299805308106874138122028043088814610693093595148504742881
Tue Dec 11 14:10:53 2007  elapsed time 01:06:58 (Msieve 1.30)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 25.92 hours.
Scaled time: 44.94 units (timescale=1.734).
Factorization parameters were as follows:
name: KA_4_9_154_1
n: 9569408942203085786057374998973680890948719049445346531360072724445749881946986584511632200303193325161185688811127446517482515876462834875006581361
type: snfs
skew: 1.12
deg: 5
c5: 5
c0: -9
m: 10000000000000000000000000000000
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 1200000)
Primes: RFBsize:216816, AFBsize:216491, largePrimes:6390484 encountered
Relations: rels:5934433, finalFF:556300
Max relations in full relation-set: 28
Initial matrix: 433373 x 556300 with sparse part having weight 28717637.
Pruned matrix : 323054 x 325284 with weight 14040928.
Total sieving time: 25.73 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.3,2.3,100000
total time: 25.92 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

1401917649506736676938704206955793863486810884926029076949661595304338517353763797007595561786674509180920360619202352036494271638311527018331727530127<151>

64414577002263313514982818321328963237311<41>
21763981302826500962913776820417810329105314486317929333032864905086682541577240814547337472885523445053489457<110>

GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 1401917649506736676938704206955793863486810884926029076949661595304338517353763797007595561786674509180920360619202352036494271638311527018331727530127 (151 digits)
Using B1=3594000, B2=5195771719, polynomial Dickson(6), sigma=500330710
Step 1 took 56621ms
Step 2 took 29582ms
********** Factor found in step 2: 64414577002263313514982818321328963237311
Found probable prime factor of 41 digits: 64414577002263313514982818321328963237311
Probable prime cofactor 21763981302826500962913776820417810329105314486317929333032864905086682541577240814547337472885523445053489457 has 110 digits

1550763936287826755654564895336804649264066034246143513988755304298815619485742512321951624878705182064449334155161<115>

916954738515527411860196269384889891<36>
1691210995646724198680462578472437912581425581533448011756847939729769453981971<79>

Number: 49991_158
N=1550763936287826755654564895336804649264066034246143513988755304298815619485742512321951624878705182064449334155161
  ( 115 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=916954738515527411860196269384889891 (pp36)
 r2=1691210995646724198680462578472437912581425581533448011756847939729769453981971 (pp79)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 25.62 hours.
Scaled time: 54.41 units (timescale=2.124).
Factorization parameters were as follows:
n: 1550763936287826755654564895336804649264066034246143513988755304298815619485742512321951624878705182064449334155161
m: 100000000000000000000000000000000
c5: 1
c0: -180
skew: 2.83
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2000000, 3500001)
Primes: RFBsize:283146, AFBsize:282037, largePrimes:5639108 encountered
Relations: rels:5690607, finalFF:673567
Max relations in full relation-set: 28
Initial matrix: 565247 x 673567 with sparse part having weight 41646735.
Pruned matrix : 476541 x 479431 with weight 26834784.
Total sieving time: 24.40 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 1.08 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 25.62 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2115k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407682)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405127)
Calibrating delay using timer specific routine.. 4810.22 BogoMIPS (lpj=2405112)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405126)
Total of 4 processors activated (19246.09 BogoMIPS).

Core 2 Quad Q6600

4999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991<163>

68385977371361886229008858431010504877885471<44>
10358845079111018892823016494495871163939965326959587059<56>
7058161771042422170571387133040680162138563583374078964992316019<64>

Number: 49991_162
N=4999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991
  ( 163 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=68385977371361886229008858431010504877885471 (pp44)
 r2=10358845079111018892823016494495871163939965326959587059 (pp56)
 r3=7058161771042422170571387133040680162138563583374078964992316019 (pp64)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 48.82 hours.
Scaled time: 104.66 units (timescale=2.144).
Factorization parameters were as follows:
n: 4999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991
m: 500000000000000000000000000000000
c5: 4
c0: -225
skew: 2.24
type: snfs
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved algebraic special-q in [2500000, 5100001)
Primes: RFBsize:348513, AFBsize:348286, largePrimes:6727746 encountered
Relations: rels:6971731, finalFF:855302
Max relations in full relation-set: 28
Initial matrix: 696863 x 855302 with sparse part having weight 63866792.
Pruned matrix : 578415 x 581963 with weight 45564381.
Total sieving time: 46.21 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 2.42 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,164,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,49,49,2.5,2.5,100000
total time: 48.82 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2114k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407675)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405123)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405117)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125)
Total of 4 processors activated (19246.08 BogoMIPS).

Core 2 Quad Q6600

195428161222409011812961055114770534890245589037899521432990835775370802759420686132267231660937346111618177084790571269325011735617216995631<141>

4339455695928017012813559346271651<34>
2130438876068504052547916867650293287718131453411<49>
21138920651137598568207584663615217929520666173979820026871<59>

GMP-ECM 6.1.3 [powered by GMP 4.2.1] [ECM]
Input number is 195428161222409011812961055114770534890245589037899521432990835775370802759420686132267231660937346111618177084790571269325011735617216995631 (141 digits)
Using B1=1740000, B2=2140281790, polynomial Dickson(6), sigma=266170674
Step 1 took 18854ms
Step 2 took 7395ms
********** Factor found in step 2: 4339455695928017012813559346271651
Found probable prime factor of 34 digits: 4339455695928017012813559346271651
Composite cofactor 45035178353310875346083151105578272111290713326972753456419802659112470613730247332180443661058076304606981 has 107 digits


Number: n
N=45035178353310875346083151105578272111290713326972753456419802659112470613730247332180443661058076304606981
  ( 107 digits)
Divisors found:

Mon Jan 28 16:51:00 2008  prp49 factor: 2130438876068504052547916867650293287718131453411
Mon Jan 28 16:51:00 2008  prp59 factor: 21138920651137598568207584663615217929520666173979820026871
Mon Jan 28 16:51:00 2008  elapsed time 00:37:13 (Msieve 1.33)

Version: GGNFS-0.77.1-20050930-k8
Total time: 8.58 hours.
Scaled time: 7.17 units (timescale=0.836).
Factorization parameters were as follows:
name: KA_4_9_163_1
n: 45035178353310875346083151105578272111290713326972753456419802659112470613730247332180443661058076304606981
skew: 8115.52
# norm 1.71e+15
c5: 154560
c4: 307703758
c3: 145805345482189
c2: -157159415040315452
c1: -3632690209768005682794
c0: -1184546233994452070467176
# alpha -7.03
Y1: 323870616509
Y0: -196286607975166774105
# Murphy_E 1.51e-09
# M 37232403993864362254878977070445837812503056159276185148333904982476946194988434481797403305406657484158305
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  special-q in [100000, 1300289)
Primes: RFBsize:183072, AFBsize:183409, largePrimes:4088051 encountered
Relations: rels:4006302, finalFF:403691
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 8.44 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,106,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 8.58 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... 6045.69 BogoMIPS (lpj=3022848)
Total of 2 processors activated (12009.47 BogoMIPS).

16341926356735026827094185515432260422814688809284832362536839593066759444529868046049647268284701680004884687151<113>

423642819486377500810088159556192139680472557229<48>
38574774798609590656685912133706632252046886635615382500322326219<65>

Number: 49991_166
N=16341926356735026827094185515432260422814688809284832362536839593066759444529868046049647268284701680004884687151
  ( 113 digits)
Divisors found:
 r1=423642819486377500810088159556192139680472557229 (pp48)
 r2=38574774798609590656685912133706632252046886635615382500322326219 (pp65)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 20.00 hours.
Scaled time: 42.48 units (timescale=2.124).
Factorization parameters were as follows:
name: 49991_166
n: 16341926356735026827094185515432260422814688809284832362536839593066759444529868046049647268284701680004884687151
skew: 27295.93
# norm 2.18e+15
c5: 33120
c4: 4441313622
c3: -62567391423243
c2: -2850563779112809232
c1: 20403393653491258023492
c0: 412100355487556686774922021
# alpha -5.81
Y1: 642727557923
Y0: -3456530699039931079782
# Murphy_E 7.71e-10
# M 1551685654449727006542580819033466558148370987093910726938703232431161248973769563550852895364742766086059152787
type: gnfs
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 70000
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1400000, 2380001)
Primes: RFBsize:203362, AFBsize:203153, largePrimes:7633589 encountered
Relations: rels:7513780, finalFF:534371
Max relations in full relation-set: 28
Initial matrix: 406594 x 534371 with sparse part having weight 51341064.
Pruned matrix : 315342 x 317438 with weight 31467716.
Polynomial selection time: 1.06 hours.
Total sieving time: 18.10 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.58 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
gnfs,112,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2800000,2800000,27,27,50,50,2.6,2.6,70000
total time: 20.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2114k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407675)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405123)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405117)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125)
Total of 4 processors activated (19246.08 BogoMIPS).

Core 2 Quad Q6600

56639286848126797554729386539227574885723785334536125536236873465330483256275559559736715759646622674484365026756974688483306430233854963119<140>

285672459115302906984888083354597717349768178359030194770540009<63>
198266528819518056600744503449893297480133294347181748253063893651091266424791<78>

Number: 1
N=56639286848126797554729386539227574885723785334536125536236873465330483256275559559736715759646622674484365026756974688483306430233854963119
  ( 140 digits)
SNFS difficulty: 169 digits.
Divisors found:
 r1=285672459115302906984888083354597717349768178359030194770540009 (pp63)
 r2=198266528819518056600744503449893297480133294347181748253063893651091266424791 (pp78)
Version: GGNFS-0.77.1-VC8
Total time: 52.63 hours.
Scaled time: 50.58 units (timescale=0.961).
Factorization parameters were as follows:
n: 56639286848126797554729386539227574885723785334536125536236873465330483256275559559736715759646622674484365026756974688483306430233854963119
m: 5000000000000000000000000000000000
deg: 5
c5: 8
c0: -45
skew: 1.41
type: snfs
lss: 1
rlim: 4700000
alim: 4700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4700000/4700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2350000, 4450001)
Primes: RFBsize:328964, AFBsize:327919, largePrimes:9912007 encountered
Relations: rels:10182561, finalFF:745248
Max relations in full relation-set: 32
Initial matrix: 656948 x 745248 with sparse part having weight 81981595.
Pruned matrix : 605955 x 609303 with weight 63712113.
Total sieving time: 47.58 hours.
Total relation processing time: 0.39 hours.
Matrix solve time: 4.17 hours.
Time per square root: 0.48 hours.
Prototype def-par.txt line would be:
snfs,169,5,0,0,0,0,0,0,0,0,4700000,4700000,27,27,52,52,2.4,2.4,100000
total time: 52.63 hours.
 --------- CPU info (if available) ----------

GGNFS-0.77.1-VC8

17421602787456445993031358885017421602787456445993031358885017421602787456445993031358885017421602787456445993031358885017421602787456445993031358885017421602787456445993<170>

1363684689367687199660001585916252959225073<43>
12775389298778802140820274185385735600606854567622114532762344954306460995067145385939039085787137146377153359945100703455866041<128>

GMP-ECM 6.1.3 [powered by GMP 4.2.1] [ECM]
Input number is 17421602787456445993031358885017421602787456445993031358885017421602787456445993031358885017421602787456445993031358885017421602787456445993031358885017421602787456445993 (170 digits)
Using B1=6672000, B2=14271659230, polynomial Dickson(12), sigma=1353186009
Step 1 took 95192ms
Step 2 took 34869ms
********** Factor found in step 2: 1363684689367687199660001585916252959225073
Found probable prime factor of 43 digits: 1363684689367687199660001585916252959225073
Probable prime cofactor 12775389298778802140820274185385735600606854567622114532762344954306460995067145385939039085787137146377153359945100703455866041 has 128 digits

814346849105433026587184984693379979159921862949607103602056869970674308851209491115434146595788024292713227034123102349498046376605687283287509561<147>

5527783877567354879114187218091240688817<40>

147318865415521191786297969042571677845185584261086856325818918000957997164018632668374792398463477614925833<108>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2620444012
Step 1 took 54712ms
Step 2 took 21267ms
********** Factor found in step 2: 5527783877567354879114187218091240688817
Found probable prime factor of 40 digits: 5527783877567354879114187218091240688817
Composite cofactor 147318865415521191786297969042571677845185584261086856325818918000957997164018632668374792398463477614925833 has 108 digits

GMP-ECM 6.3

147318865415521191786297969042571677845185584261086856325818918000957997164018632668374792398463477614925833<108>

12611585228798916490707296465532656680368007<44>
11681232988785132136583412787907066881320914122423005884237019119<65>

N = 147318865415521191786297969042571677845185584261086856325818918000957997164018632668374792398463477614925833 (108 digits)
Divisors found:
r1=12611585228798916490707296465532656680368007 (pp44)
r2=11681232988785132136583412787907066881320914122423005884237019119 (pp65)
Version: Msieve v. 1.48
Total time: 3.40 hours.
Factorization parameters were as follows:
n: 147318865415521191786297969042571677845185584261086856325818918000957997164018632668374792398463477614925833
Y0: -464133908511206615088
Y1: 159438904991
c0: -420402344210626094248516649
c1: 20905259782727795701424
c2: 2082627228600190703
c3: -14357156000414
c4: -652252044
c5: 6840
skew: 45728.87  
type: gnfs
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Sieved algebraic special-q in [0, 0)
Total raw relations: 5412675
Relations: 415674 relations
Pruned matrix : 265711 x 265936
Polynomial selection time: 0.00 hours.
Total sieving time: 3.29 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.08 hours.
time per square root: 0.01 hours.
Prototype def-par.txt line would be: gnfs,107,5,59,2000,0.0006,0.25,200,15,15000,2000,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 3.40 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

32452583217797733946855239496696713634499414553030405737987209797745873900969551181250131058830139824117973838459244140584683880621830253500859<143>

2405177340503399638708691672551518337870846459<46>
13492802660033984006612359816895332257537361895695968364623139879859593986052892810542871592481601<98>

N = 32452583217797733946855239496696713634499414553030405737987209797745873900969551181250131058830139824117973838459244140584683880621830253500859 (143 digits)
SNFS difficulty: 177 digits.
Divisors found:
r1=2405177340503399638708691672551518337870846459 (pp46)
r2=13492802660033984006612359816895332257537361895695968364623139879859593986052892810542871592481601 (pp98)
Version: Msieve v. 1.48
Total time: 29.71 hours.
Factorization parameters were as follows:
name: 5*10^176-9
n: 32452583217797733946855239496696713634499414553030405737987209797745873900969551181250131058830139824117973838459244140584683880621830253500859
Y0: 100000000000000000000000000000000000
Y1: -1
c0: -9
c1: 0
c2: 0
c3: 0
c4: 0
c5: 50
skew: 0.71
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: 20190232
Relations: 2224588 relations
Pruned matrix : 1267875 x 1268101
Polynomial selection time: 0.00 hours.
Total sieving time: 27.60 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.95 hours.
time per square root: 0.05 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: 29.71 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

4034156768226262400625832750645532618487163342228300918890968936567408802213852919962531922187791539086563799289918323657254658645785045127990155221380602327193423<163>

3106048752128519385508195503158167772519<40>
1298806647983785596528523979146652933866457893477761801393520649313857242439698327529459742393360224736155505255204495187417<124>

Input number is 4034156768226262400625832750645532618487163342228300918890968936567408802213852919962531922187791539086563799289918323657254658645785045127990155221380602327193423 (163 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2193548319
Step 1 took 42206ms
Step 2 took 15829ms
********** Factor found in step 2: 3106048752128519385508195503158167772519
Found probable prime factor of 40 digits: 3106048752128519385508195503158167772519
Probable prime cofactor 129880664798... has 124 digits

63891425873024801111954788889059187665618026061230063752101552288701637321591178899808835589041249636495115169957867556683686440148042370080972369652954595469<158>

1345913935872960548390358124629459656000261160856127000840812914157594141<73>
47470662254184020881014826579875844426717829023263974921910560557458960669934650620209<86>

N=63891425873024801111954788889059187665618026061230063752101552288701637321591178899808835589041249636495115169957867556683686440148042370080972369652954595469
  ( 158 digits)
SNFS difficulty: 179 digits.
Divisors found:
 r1=1345913935872960548390358124629459656000261160856127000840812914157594141 (pp73)
 r2=47470662254184020881014826579875844426717829023263974921910560557458960669934650620209 (pp86)
Version: Msieve-1.40
Total time: 86.81 hours.
Scaled time: 161.98 units (timescale=1.866).
Factorization parameters were as follows:
n: 63891425873024801111954788889059187665618026061230063752101552288701637321591178899808835589041249636495115169957867556683686440148042370080972369652954595469
m: 500000000000000000000000000000000000
deg: 5
c5: 8
c0: -45
skew: 1.41
# Murphy_E = 1.427e-10
type: snfs
lss: 1
rlim: 6800000
alim: 6800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3400000, 7400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1218984 x 1219217
Total sieving time: 84.84 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.67 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,179.000,5,0,0,0,0,0,0,0,0,6800000,6800000,28,28,53,53,2.5,2.5,100000
total time: 86.81 hours.
 --------- CPU info (if available) ----------

1701951876263961688320518423723732952558913879977403679630937352127102519641470860122331975385460696209585658141802849509672762928419800751567795718201<151>

1492967389047169323869609972472013006063<40>
1139979271315610522600095730084012387501182101110914555891037280480043011173458096504960591380017667046403421527<112>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=244070835
Step 1 took 23759ms
Step 2 took 181ms
********** Factor found in step 2: 1492967389047169323869609972472013006063
Found probable prime factor of 40 digits: 1492967389047169323869609972472013006063

313931869964645436166903481274618282296450528024981861101110900348370925684809758208142245133617606646248121632183690389117491<126>

512529666008525734935878960871640359760624350739<48>
612514534835576326617008267764327259199181374791989667327652670231175206473569<78>

Number: 49991_182
N=313931869964645436166903481274618282296450528024981861101110900348370925684809758208142245133617606646248121632183690389117491
  ( 126 digits)
Divisors found:
 r1=512529666008525734935878960871640359760624350739 (pp48)
 r2=612514534835576326617008267764327259199181374791989667327652670231175206473569 (pp78)
Version: Msieve v. 1.42
Total time: 4.57 hours.
Scaled time: 3.64 units (timescale=0.796).
Factorization parameters were as follows:
name: 49991_182
# Murphy_E = 1.458371e-10, selected by Jeff Gilchrist
n: 313931869964645436166903481274618282296450528024981861101110900348370925684809758208142245133617606646248121632183690389117491
Y0: -1649861535846594110734366
Y1: 55242780953767
c0: 252955520507288002780907656425
c1: 19389250887977702724998136
c2: -94000484924083180481
c3: -4009155450107396
c4: 5119769436
c5: 25680
skew: 150155.2
type: gnfs
# selected mechanically
rlim: 7400000
alim: 7400000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [3700000, 7200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1032536 x 1032767
Total sieving time: 0.00 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 3.54 hours.
Time per square root: 0.89 hours.
Prototype def-par.txt line would be:
gnfs,125,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,7400000,7400000,27,27,53,53,2.5,2.5,100000
total time: 4.57 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.24 BogoMIPS (lpj=1860624)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860570)
Total of 2 processors activated (7442.38 BogoMIPS).

Total time: 3.5 days.

93949040516629962435061239721493549452086382942492026324376396964628175032607883758795938126495833124599204609699474218409066607064899416838237505561846313<155>

291008170645721972448641263648457<33>

322839871843340905526166454628986093407853954817950754805428064066832128844136036459561898875093239519686322795408282048609<123>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1488224249
Step 1 took 60916ms
Step 2 took 22989ms
********** Factor found in step 2: 291008170645721972448641263648457
Found probable prime factor of 33 digits: 291008170645721972448641263648457
Composite cofactor 322839871843340905526166454628986093407853954817950754805428064066832128844136036459561898875093239519686322795408282048609 has 123 digits

322839871843340905526166454628986093407853954817950754805428064066832128844136036459561898875093239519686322795408282048609<123>

195504673910242933017463257227303<33>
112239363256296068454677594340791669205919<42>
14712444159598157908571341216817428295929086252137<50>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=829974605
Step 1 took 38657ms
Step 2 took 17075ms
********** Factor found in step 2: 195504673910242933017463257227303
Found probable prime factor of 33 digits: 195504673910242933017463257227303
Composite cofactor 1651315364417109175095450627600492138539518273933929974069930898339455745158144558606798903 has 91 digits

Sat May 14 16:16:52 2011  Msieve v. 1.48
Sat May 14 16:16:52 2011  random seeds: cfe2de98 67ee4ba8
Sat May 14 16:16:52 2011  factoring 1651315364417109175095450627600492138539518273933929974069930898339455745158144558606798903 (91 digits)
Sat May 14 16:16:53 2011  searching for 15-digit factors
Sat May 14 16:16:53 2011  commencing quadratic sieve (91-digit input)
Sat May 14 16:16:53 2011  using multiplier of 2
Sat May 14 16:16:53 2011  using 32kb Intel Core sieve core
Sat May 14 16:16:53 2011  sieve interval: 36 blocks of size 32768
Sat May 14 16:16:53 2011  processing polynomials in batches of 6
Sat May 14 16:16:53 2011  using a sieve bound of 1649677 (62353 primes)
Sat May 14 16:16:53 2011  using large prime bound of 145171576 (27 bits)
Sat May 14 16:16:53 2011  using double large prime bound of 491345248212808 (42-49 bits)
Sat May 14 16:16:53 2011  using trial factoring cutoff of 49 bits
Sat May 14 16:16:53 2011  polynomial 'A' values have 12 factors
Sat May 14 17:29:55 2011  62470 relations (16235 full + 46235 combined from 696153 partial), need 62449
Sat May 14 17:29:56 2011  begin with 712388 relations
Sat May 14 17:29:56 2011  reduce to 153593 relations in 10 passes
Sat May 14 17:29:56 2011  attempting to read 153593 relations
Sat May 14 17:29:57 2011  recovered 153593 relations
Sat May 14 17:29:57 2011  recovered 133480 polynomials
Sat May 14 17:29:57 2011  attempting to build 62470 cycles
Sat May 14 17:29:57 2011  found 62470 cycles in 5 passes
Sat May 14 17:29:57 2011  distribution of cycle lengths:
Sat May 14 17:29:57 2011     length 1 : 16235
Sat May 14 17:29:57 2011     length 2 : 12098
Sat May 14 17:29:57 2011     length 3 : 10893
Sat May 14 17:29:57 2011     length 4 : 8517
Sat May 14 17:29:57 2011     length 5 : 5893
Sat May 14 17:29:57 2011     length 6 : 3853
Sat May 14 17:29:57 2011     length 7 : 2263
Sat May 14 17:29:57 2011     length 9+: 2718
Sat May 14 17:29:57 2011  largest cycle: 17 relations
Sat May 14 17:29:57 2011  matrix is 62353 x 62470 (15.5 MB) with weight 3812846 (61.03/col)
Sat May 14 17:29:57 2011  sparse part has weight 3812846 (61.03/col)
Sat May 14 17:29:58 2011  filtering completed in 3 passes
Sat May 14 17:29:58 2011  matrix is 58563 x 58627 (14.7 MB) with weight 3608569 (61.55/col)
Sat May 14 17:29:58 2011  sparse part has weight 3608569 (61.55/col)
Sat May 14 17:29:58 2011  saving the first 48 matrix rows for later
Sat May 14 17:29:58 2011  matrix includes 64 packed rows
Sat May 14 17:29:58 2011  matrix is 58515 x 58627 (9.4 MB) with weight 2857879 (48.75/col)
Sat May 14 17:29:58 2011  sparse part has weight 2122586 (36.20/col)
Sat May 14 17:29:58 2011  using block size 23406 for processor cache size 6144 kB
Sat May 14 17:29:59 2011  commencing Lanczos iteration
Sat May 14 17:29:59 2011  memory use: 6.3 MB
Sat May 14 17:30:16 2011  lanczos halted after 926 iterations (dim = 58511)
Sat May 14 17:30:16 2011  recovered 15 nontrivial dependencies
Sat May 14 17:30:16 2011  prp42 factor: 112239363256296068454677594340791669205919
Sat May 14 17:30:16 2011  prp50 factor: 14712444159598157908571341216817428295929086252137
Sat May 14 17:30:16 2011  elapsed time 01:13:24

2564765138774377852866737584690272117522957063427220218552309628253207246207068020191542270581631549221339003904884670202322185345622309464495144684256227074722108519<166>

1789102729291124948044349702266201164169636186245050771<55>
1433548279136874640910543281949644884577370261766670767200051771583586600892181744029840964925338025008287376989<112>

Wed Aug 07 12:42:17 2013 -> factmsieve.py (v0.76)
Wed Aug 07 12:42:17 2013 -> This is client 1 of 1
Wed Aug 07 12:42:17 2013 -> Running on 2 Cores with 2 hyper-threads per Core
Wed Aug 07 12:42:17 2013 -> Working with NAME = 49991_186
Wed Aug 07 12:42:17 2013 -> Selected lattice siever: gnfs-lasieve4I13e
Wed Aug 07 12:42:17 2013 -> Creating param file to detect parameter changes...
Wed Aug 07 12:42:17 2013 -> Running setup ...
Wed Aug 07 12:42:17 2013 -> Estimated minimum relations needed: 1.86822e+07
Wed Aug 07 12:42:17 2013 -> cleaning up before a restart
Wed Aug 07 12:42:17 2013 -> Running lattice siever ...
Wed Aug 07 12:42:17 2013 -> entering sieving loop
<snipp sieving>
Sun Aug 11 21:19:10 2013 Found 21097210 relations, 112.9% of the estimated minimum (18682223).
Sun Aug 11 21:19:11 2013  
Sun Aug 11 21:19:11 2013  
Sun Aug 11 21:19:11 2013  Msieve v. 1.52 (SVN 927)
Sun Aug 11 21:19:11 2013  random seeds: 55630f10 70cf76a5
Sun Aug 11 21:19:11 2013  factoring 2564765138774377852866737584690272117522957063427220218552309628253207246207068020191542270581631549221339003904884670202322185345622309464495144684256227074722108519 (166 digits)
Sun Aug 11 21:19:14 2013  searching for 15-digit factors
Sun Aug 11 21:19:17 2013  commencing number field sieve (166-digit input)
Sun Aug 11 21:19:17 2013  R0: -10000000000000000000000000000000000000
Sun Aug 11 21:19:17 2013  R1: 1
Sun Aug 11 21:19:17 2013  A0: -9
Sun Aug 11 21:19:17 2013  A1: 0
Sun Aug 11 21:19:17 2013  A2: 0
Sun Aug 11 21:19:17 2013  A3: 0
Sun Aug 11 21:19:17 2013  A4: 0
Sun Aug 11 21:19:17 2013  A5: 50
Sun Aug 11 21:19:17 2013  skew 0.71, size 6.018e-013, alpha 0.362, combined = 5.961e-011 rroots = 1
Sun Aug 11 21:19:18 2013  
Sun Aug 11 21:19:18 2013  commencing relation filtering
Sun Aug 11 21:19:18 2013  estimated available RAM is 3884.5 MB
Sun Aug 11 21:19:18 2013  commencing duplicate removal, pass 1
Sun Aug 11 21:31:18 2013  found 2631149 hash collisions in 21097209 relations
Sun Aug 11 21:33:20 2013  added 612 free relations
Sun Aug 11 21:33:20 2013  commencing duplicate removal, pass 2
Sun Aug 11 21:33:53 2013  found 2226514 duplicates and 18871307 unique relations
Sun Aug 11 21:33:53 2013  memory use: 98.6 MB
Sun Aug 11 21:33:53 2013  reading ideals above 720000
Sun Aug 11 21:33:54 2013  commencing singleton removal, initial pass
Sun Aug 11 21:46:28 2013  memory use: 689.0 MB
Sun Aug 11 21:46:28 2013  reading all ideals from disk
Sun Aug 11 21:46:31 2013  memory use: 593.0 MB
Sun Aug 11 21:46:35 2013  keeping 21101947 ideals with weight <= 200, target excess is 116477
Sun Aug 11 21:46:38 2013  commencing in-memory singleton removal
Sun Aug 11 21:46:42 2013  begin with 18871307 relations and 21101947 unique ideals
Sun Aug 11 21:47:16 2013  reduce to 7295281 relations and 7069770 ideals in 21 passes
Sun Aug 11 21:47:16 2013  max relations containing the same ideal: 102
Sun Aug 11 21:47:24 2013  removing 570059 relations and 524860 ideals in 45199 cliques
Sun Aug 11 21:47:25 2013  commencing in-memory singleton removal
Sun Aug 11 21:47:26 2013  begin with 6725222 relations and 7069770 unique ideals
Sun Aug 11 21:47:37 2013  reduce to 6683819 relations and 6503109 ideals in 10 passes
Sun Aug 11 21:47:37 2013  max relations containing the same ideal: 96
Sun Aug 11 21:47:44 2013  removing 413447 relations and 368248 ideals in 45199 cliques
Sun Aug 11 21:47:45 2013  commencing in-memory singleton removal
Sun Aug 11 21:47:46 2013  begin with 6270372 relations and 6503109 unique ideals
Sun Aug 11 21:47:55 2013  reduce to 6247372 relations and 6111662 ideals in 8 passes
Sun Aug 11 21:47:55 2013  max relations containing the same ideal: 95
Sun Aug 11 21:48:05 2013  relations with 0 large ideals: 2964
Sun Aug 11 21:48:05 2013  relations with 1 large ideals: 1070
Sun Aug 11 21:48:05 2013  relations with 2 large ideals: 18891
Sun Aug 11 21:48:05 2013  relations with 3 large ideals: 141682
Sun Aug 11 21:48:05 2013  relations with 4 large ideals: 570593
Sun Aug 11 21:48:05 2013  relations with 5 large ideals: 1321163
Sun Aug 11 21:48:05 2013  relations with 6 large ideals: 1871315
Sun Aug 11 21:48:05 2013  relations with 7+ large ideals: 2319694
Sun Aug 11 21:48:05 2013  commencing 2-way merge
Sun Aug 11 21:48:15 2013  reduce to 3593531 relation sets and 3457821 unique ideals
Sun Aug 11 21:48:16 2013  commencing full merge
Sun Aug 11 21:50:44 2013  memory use: 413.8 MB
Sun Aug 11 21:50:45 2013  found 1818992 cycles, need 1804021
Sun Aug 11 21:50:46 2013  weight of 1804021 cycles is about 126464748 (70.10/cycle)
Sun Aug 11 21:50:46 2013  distribution of cycle lengths:
Sun Aug 11 21:50:46 2013  1 relations: 258922
Sun Aug 11 21:50:46 2013  2 relations: 225231
Sun Aug 11 21:50:46 2013  3 relations: 212010
Sun Aug 11 21:50:46 2013  4 relations: 183915
Sun Aug 11 21:50:46 2013  5 relations: 159763
Sun Aug 11 21:50:46 2013  6 relations: 133677
Sun Aug 11 21:50:46 2013  7 relations: 114285
Sun Aug 11 21:50:46 2013  8 relations: 95111
Sun Aug 11 21:50:46 2013  9 relations: 78382
Sun Aug 11 21:50:46 2013  10+ relations: 342725
Sun Aug 11 21:50:46 2013  heaviest cycle: 25 relations
Sun Aug 11 21:50:46 2013  commencing cycle optimization
Sun Aug 11 21:50:53 2013  start with 10571416 relations
Sun Aug 11 21:51:42 2013  pruned 216920 relations
Sun Aug 11 21:51:42 2013  memory use: 357.7 MB
Sun Aug 11 21:51:42 2013  distribution of cycle lengths:
Sun Aug 11 21:51:42 2013  1 relations: 258922
Sun Aug 11 21:51:42 2013  2 relations: 229825
Sun Aug 11 21:51:42 2013  3 relations: 218333
Sun Aug 11 21:51:42 2013  4 relations: 187440
Sun Aug 11 21:51:42 2013  5 relations: 162345
Sun Aug 11 21:51:42 2013  6 relations: 134714
Sun Aug 11 21:51:42 2013  7 relations: 114223
Sun Aug 11 21:51:42 2013  8 relations: 94166
Sun Aug 11 21:51:42 2013  9 relations: 77503
Sun Aug 11 21:51:42 2013  10+ relations: 326550
Sun Aug 11 21:51:42 2013  heaviest cycle: 25 relations
Sun Aug 11 21:51:46 2013  RelProcTime: 1948
Sun Aug 11 21:51:46 2013  elapsed time 00:32:35
Sun Aug 11 21:51:46 2013 LatSieveTime: 7607.49
Sun Aug 11 21:51:46 2013 -> Running matrix solving step ...
Sun Aug 11 21:51:46 2013  
Sun Aug 11 21:51:46 2013  
Sun Aug 11 21:51:46 2013  Msieve v. 1.52 (SVN 927)
Sun Aug 11 21:51:46 2013  random seeds: 8f014cf0 6da1613e
Sun Aug 11 21:51:46 2013  factoring 2564765138774377852866737584690272117522957063427220218552309628253207246207068020191542270581631549221339003904884670202322185345622309464495144684256227074722108519 (166 digits)
Sun Aug 11 21:51:50 2013  searching for 15-digit factors
Sun Aug 11 21:51:53 2013  commencing number field sieve (166-digit input)
Sun Aug 11 21:51:53 2013  R0: -10000000000000000000000000000000000000
Sun Aug 11 21:51:53 2013  R1: 1
Sun Aug 11 21:51:53 2013  A0: -9
Sun Aug 11 21:51:53 2013  A1: 0
Sun Aug 11 21:51:53 2013  A2: 0
Sun Aug 11 21:51:53 2013  A3: 0
Sun Aug 11 21:51:53 2013  A4: 0
Sun Aug 11 21:51:53 2013  A5: 50
Sun Aug 11 21:51:53 2013  skew 0.71, size 6.018e-013, alpha 0.362, combined = 5.961e-011 rroots = 1
Sun Aug 11 21:51:53 2013  
Sun Aug 11 21:51:53 2013  commencing linear algebra
Sun Aug 11 21:51:54 2013  read 1804021 cycles
Sun Aug 11 21:52:02 2013  cycles contain 6082019 unique relations
Sun Aug 11 21:55:35 2013  read 6082019 relations
Sun Aug 11 21:55:56 2013  using 20 quadratic characters above 268435338
Sun Aug 11 21:57:30 2013  building initial matrix
Sun Aug 11 22:00:28 2013  memory use: 740.6 MB
Sun Aug 11 22:00:32 2013  read 1804021 cycles
Sun Aug 11 22:00:34 2013  matrix is 1803844 x 1804021 (542.4 MB) with weight 160893074 (89.19/col)
Sun Aug 11 22:00:34 2013  sparse part has weight 122338026 (67.81/col)
Sun Aug 11 22:01:22 2013  filtering completed in 2 passes
Sun Aug 11 22:01:24 2013  matrix is 1800828 x 1801005 (542.1 MB) with weight 160791816 (89.28/col)
Sun Aug 11 22:01:24 2013  sparse part has weight 122303655 (67.91/col)
Sun Aug 11 22:01:34 2013  matrix starts at (0, 0)
Sun Aug 11 22:01:36 2013  matrix is 1800828 x 1801005 (542.1 MB) with weight 160791816 (89.28/col)
Sun Aug 11 22:01:36 2013  sparse part has weight 122303655 (67.91/col)
Sun Aug 11 22:01:36 2013  saving the first 48 matrix rows for later
Sun Aug 11 22:01:38 2013  matrix includes 64 packed rows
Sun Aug 11 22:01:39 2013  matrix is 1800780 x 1801005 (517.2 MB) with weight 129258495 (71.77/col)
Sun Aug 11 22:01:39 2013  sparse part has weight 117581355 (65.29/col)
Sun Aug 11 22:01:39 2013  using block size 8192 and superblock size 294912 for processor cache size 3072 kB
Sun Aug 11 22:02:06 2013  commencing Lanczos iteration (4 threads)
Sun Aug 11 22:02:06 2013  memory use: 415.0 MB
Sun Aug 11 22:02:36 2013  linear algebra at 0.1%, ETA 9h31m
Sun Aug 11 22:02:46 2013  checkpointing every 190000 dimensions
Mon Aug 12 07:20:28 2013  lanczos halted after 28480 iterations (dim = 1800777)
Mon Aug 12 07:20:39 2013  recovered 38 nontrivial dependencies
Mon Aug 12 07:20:39 2013  BLanczosTime: 34126
Mon Aug 12 07:20:39 2013  elapsed time 09:28:53
Mon Aug 12 07:20:39 2013 -> Running square root step ...
Mon Aug 12 07:20:39 2013  
Mon Aug 12 07:20:39 2013  
Mon Aug 12 07:20:39 2013  Msieve v. 1.52 (SVN 927)
Mon Aug 12 07:20:39 2013  random seeds: 9cba76b0 fbdaf2aa
Mon Aug 12 07:20:39 2013  factoring 2564765138774377852866737584690272117522957063427220218552309628253207246207068020191542270581631549221339003904884670202322185345622309464495144684256227074722108519 (166 digits)
Mon Aug 12 07:20:43 2013  searching for 15-digit factors
Mon Aug 12 07:20:46 2013  commencing number field sieve (166-digit input)
Mon Aug 12 07:20:46 2013  R0: -10000000000000000000000000000000000000
Mon Aug 12 07:20:46 2013  R1: 1
Mon Aug 12 07:20:46 2013  A0: -9
Mon Aug 12 07:20:46 2013  A1: 0
Mon Aug 12 07:20:46 2013  A2: 0
Mon Aug 12 07:20:46 2013  A3: 0
Mon Aug 12 07:20:46 2013  A4: 0
Mon Aug 12 07:20:46 2013  A5: 50
Mon Aug 12 07:20:46 2013  skew 0.71, size 6.018e-013, alpha 0.362, combined = 5.961e-011 rroots = 1
Mon Aug 12 07:20:46 2013  
Mon Aug 12 07:20:46 2013  commencing square root phase
Mon Aug 12 07:20:46 2013  reading relations for dependency 1
Mon Aug 12 07:20:48 2013  read 901163 cycles
Mon Aug 12 07:20:52 2013  cycles contain 3041918 unique relations
Mon Aug 12 07:22:48 2013  read 3041918 relations
Mon Aug 12 07:23:33 2013  multiplying 3041918 relations
Mon Aug 12 07:29:27 2013  multiply complete, coefficients have about 84.59 million bits
Mon Aug 12 07:29:30 2013  initial square root is modulo 1179251
Mon Aug 12 07:37:12 2013  GCD is 1, no factor found
Mon Aug 12 07:37:12 2013  reading relations for dependency 2
Mon Aug 12 07:37:14 2013  read 900360 cycles
Mon Aug 12 07:37:18 2013  cycles contain 3037058 unique relations
Mon Aug 12 07:39:15 2013  read 3037058 relations
Mon Aug 12 07:39:59 2013  multiplying 3037058 relations
Mon Aug 12 07:45:52 2013  multiply complete, coefficients have about 84.45 million bits
Mon Aug 12 07:45:54 2013  initial square root is modulo 1152391
Mon Aug 12 07:53:27 2013  GCD is 1, no factor found
Mon Aug 12 07:53:27 2013  reading relations for dependency 3
Mon Aug 12 07:53:29 2013  read 901801 cycles
Mon Aug 12 07:53:33 2013  cycles contain 3044196 unique relations
Mon Aug 12 07:55:31 2013  read 3044196 relations
Mon Aug 12 07:56:14 2013  multiplying 3044196 relations
Mon Aug 12 08:02:08 2013  multiply complete, coefficients have about 84.65 million bits
Mon Aug 12 08:02:10 2013  initial square root is modulo 1191191
Mon Aug 12 08:10:04 2013  GCD is N, no factor found
Mon Aug 12 08:10:04 2013  reading relations for dependency 4
Mon Aug 12 08:10:05 2013  read 900535 cycles
Mon Aug 12 08:10:09 2013  cycles contain 3042146 unique relations
Mon Aug 12 08:12:07 2013  read 3042146 relations
Mon Aug 12 08:12:52 2013  multiplying 3042146 relations
Mon Aug 12 08:18:54 2013  multiply complete, coefficients have about 84.59 million bits
Mon Aug 12 08:18:56 2013  initial square root is modulo 1179901
Mon Aug 12 08:26:46 2013  GCD is N, no factor found
Mon Aug 12 08:26:46 2013  reading relations for dependency 5
Mon Aug 12 08:26:48 2013  read 900126 cycles
Mon Aug 12 08:26:51 2013  cycles contain 3040342 unique relations
Mon Aug 12 08:28:49 2013  read 3040342 relations
Mon Aug 12 08:29:33 2013  multiplying 3040342 relations
Mon Aug 12 08:35:34 2013  multiply complete, coefficients have about 84.54 million bits
Mon Aug 12 08:35:37 2013  initial square root is modulo 1169741
Mon Aug 12 08:43:25 2013  GCD is N, no factor found
Mon Aug 12 08:43:25 2013  reading relations for dependency 6
Mon Aug 12 08:43:27 2013  read 901531 cycles
Mon Aug 12 08:43:31 2013  cycles contain 3042264 unique relations
Mon Aug 12 08:45:40 2013  read 3042264 relations
Mon Aug 12 08:46:34 2013  multiplying 3042264 relations
Mon Aug 12 08:53:09 2013  multiply complete, coefficients have about 84.59 million bits
Mon Aug 12 08:53:11 2013  initial square root is modulo 1180591
Mon Aug 12 09:01:17 2013  GCD is N, no factor found
Mon Aug 12 09:01:17 2013  reading relations for dependency 7
Mon Aug 12 09:01:19 2013  read 900770 cycles
Mon Aug 12 09:01:23 2013  cycles contain 3039960 unique relations
Mon Aug 12 09:03:35 2013  read 3039960 relations
Mon Aug 12 09:04:26 2013  multiplying 3039960 relations
Mon Aug 12 09:10:37 2013  multiply complete, coefficients have about 84.53 million bits
Mon Aug 12 09:10:39 2013  initial square root is modulo 1167731
Mon Aug 12 09:18:22 2013  sqrtTime: 7056
Mon Aug 12 09:18:22 2013  prp55 factor: 1789102729291124948044349702266201164169636186245050771
Mon Aug 12 09:18:22 2013  prp112 factor: 1433548279136874640910543281949644884577370261766670767200051771583586600892181744029840964925338025008287376989
Mon Aug 12 09:18:22 2013  elapsed time 01:57:43
Mon Aug 12 09:18:22 2013 -> Computing 1.37629e+09 scale for this machine...
Mon Aug 12 09:18:22 2013 -> procrels -speedtest> PIPE
Total Time ~ 116 hours 36 minutes

factmsieve.py v0.76 via msieve 1.52 (SVN 927)

Core i 3-350M @ 2.33 GHz / Win 7 Home Premium 64bit

30967125564716283061568564024767246845894561030699635545073035951593262834657059559642547302094098596230080952290801214506068294173953<134>

114797559829036670510462101248717556392985309259377<51>
269754214382556229385406517510681575920015777195740966100164836361559106388730982289<84>

Number: n
N=30967125564716283061568564024767246845894561030699635545073035951593262834657059559642547302094098596230080952290801214506068294173953
  ( 134 digits)
Divisors found:

Tue May  1 15:35:49 2012  prp51 factor: 114797559829036670510462101248717556392985309259377
Tue May  1 15:35:49 2012  prp84 factor: 269754214382556229385406517510681575920015777195740966100164836361559106388730982289
Tue May  1 15:35:49 2012  elapsed time 02:42:29 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.090).
Factorization parameters were as follows:
name: KA_49991_187
n: 30967125564716283061568564024767246845894561030699635545073035951593262834657059559642547302094098596230080952290801214506068294173953
skew: 300555.37
# norm 8.06e+18
c5: 73320
c4: 494519896538
c3: -7079510618750733
c2: -36737433719125244520249
c1: 665055213007447574469237861
c0: 312351849156886248944066053407615
# alpha -6.71
Y1: 42497186921849
Y0: -53104976249755422418383454
# Murphy_E 4.16e-11
# M 1291564886152949013215481306630125599498792912665847309908155831870534359626771162737702985027107456060251798528247158402254412988268
type: gnfs
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
qintsize: 60000
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 24960000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3029164 hash collisions in 12847480 relations (9709457 unique)
Msieve: matrix is 1335669 x 1335894 (387.5 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,133,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5400000,5400000,27,27,51,51,2.5,2.5,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
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.. 5661.55 BogoMIPS (lpj=2830779)
Calibrating delay using timer specific routine.. 5660.90 BogoMIPS (lpj=2830450)
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 (22644.29 BogoMIPS).

1906643680880247301441754998280441912271222439125798546825859943768266358713198310561095529897715981219833614070227053485309734560087326405800136648963949345730883268498747409<175>

3150749030563853522210430614191637955029256134898597237886651<61>
605139813544285082631620014759031682025155066443297582752364276388607781348352883428475711921927225782270483185059<114>

Number: n
N=1906643680880247301441754998280441912271222439125798546825859943768266358713198310561095529897715981219833614070227053485309734560087326405800136648963949345730883268498747409
  ( 175 digits)
SNFS difficulty: 188 digits.
Divisors found:

Sun Mar  4 13:59:05 2012  prp61 factor: 3150749030563853522210430614191637955029256134898597237886651
Sun Mar  4 13:59:05 2012  prp114 factor: 605139813544285082631620014759031682025155066443297582752364276388607781348352883428475711921927225782270483185059
Sun Mar  4 13:59:05 2012  elapsed time 03:03:22 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.654).
Factorization parameters were as follows:
name: KA_49991_188
n: 1906643680880247301441754998280441912271222439125798546825859943768266358713198310561095529897715981219833614070227053485309734560087326405800136648963949345730883268498747409
m: 10000000000000000000000000000000000000
#  c175, diff: 188.7
skew: 0.28
deg: 5
c5: 5000
c0: -9
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, 13100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7097030 hash collisions in 77648328 relations (73177227 unique)
Msieve: matrix is 1146819 x 1147052 (321.9 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,188,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
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).

2004088340214036634734859112589682953224578139404384945288388312156799871738346226301655376969016794260290993626999078119363501543148021964808208745841516694055873982925167341376407872059<187>

47568134021252279670958230004481<32>
42130900895096262260841447387806243682255781771378005956259860699611715275397274609349024640992587587106601079256289499605009903500893334162184491530113339<155>

GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]


Input number is 2004088340214036634734859112589682953224578139404384945288388312156799871738346226301655376969016794260290993626999078119363501543148021964808208745841516694055873982925167341376407872059 (187 digits)

Using B1=63126276, B2=388131795880, polynomial Dickson(30), sigma=2608118781

Step 1 took 1984544ms
Step 2 took 505560ms

********** Factor found in step 2: 47568134021252279670958230004481

Found probable prime factor of 32 digits: 47568134021252279670958230004481
Probable prime cofactor 42130900895096262260841447387806243682255781771378005956259860699611715275397274609349024640992587587106601079256289499605009903500893334162184491530113339 has 155 digits

1176099105795842321003460876346126937143361413883049377681085729669981325591559208570442088938464713822400044109340423514612067261208855668111938309982575642819<160>

2277197690146213337256074473639429293641<40>
516467722975921274380928102845908475672012633537619596630928796946742526268351615828312646941332008361647102792650598059<120>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2226941130
Step 1 took 28364ms
Step 2 took 10362ms
********** Factor found in step 2: 2277197690146213337256074473639429293641
Found probable prime factor of 40 digits: 2277197690146213337256074473639429293641

23685457129322595926101373756513500710563713879677877783041212695405021316911416390336333491236380862150639507342491710090004737091425864519185220274751302700142112742775935575556608242539081<191>

46280192363403452945907094423911587820648171502970737<53>
511783895437135635957154567370339647742796615436941073014585973056439262887348563848497984154002794113583812498276542761057932913246823513<138>

Number: 49991_193
N=23685457129322595926101373756513500710563713879677877783041212695405021316911416390336333491236380862150639507342491710090004737091425864519185220274751302700142112742775935575556608242539081
  ( 191 digits)
SNFS difficulty: 194 digits.
Divisors found:
 r1=46280192363403452945907094423911587820648171502970737
 r2=511783895437135635957154567370339647742796615436941073014585973056439262887348563848497984154002794113583812498276542761057932913246823513
Version: 
Total time: 514.11 hours.
Scaled time: 1035.93 units (timescale=2.015).
Factorization parameters were as follows:
n: 23685457129322595926101373756513500710563713879677877783041212695405021316911416390336333491236380862150639507342491710090004737091425864519185220274751302700142112742775935575556608242539081
m: 500000000000000000000000000000000000000
deg: 5
c5: 8
c0: -45
skew: 1.41
type: snfs
lss: 1
rlim: 12200000
alim: 12200000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12200000/12200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6100000, 11100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1742550 x 1742798
Total sieving time: 514.11 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,194,5,0,0,0,0,0,0,0,0,12200000,12200000,28,28,55,55,2.5,2.5,100000
total time: 514.11 hours.
 --------- CPU info (if available) ----------

1607717041800643086816720257234726688102893890675241157556270096463022508038585209003215434083601286173633440514469453376205787781350482315112540192926045016077170418006430868167202572347266881<193>

568077914109210905300509346220531359<36>
132431729646308774647525574567728230397013165316585384835709<60>
21370252768992179896389372845940321522055761100150580614076984207751248231030310254841786517307851<98>

Number: 49991_194
N=1607717041800643086816720257234726688102893890675241157556270096463022508038585209003215434083601286173633440514469453376205787781350482315112540192926045016077170418006430868167202572347266881
  ( 193 digits)
SNFS difficulty: 195 digits.
Divisors found:
 r1=568077914109210905300509346220531359 (pp36)
 r2=132431729646308774647525574567728230397013165316585384835709 (pp60)
 r3=21370252768992179896389372845940321522055761100150580614076984207751248231030310254841786517307851 (pp98)
Version: GGNFS-0.77.1-20060722-nocona
Total time: 2068.37 hours.
Scaled time: 4157.43 units (timescale=2.010).
Factorization parameters were as follows:
n: 1607717041800643086816720257234726688102893890675241157556270096463022508038585209003215434083601286173633440514469453376205787781350482315112540192926045016077170418006430868167202572347266881
m: 1000000000000000000000000000000000000000
c5: 1
c0: -18
skew: 1.78
type: snfs
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [3700000, 3700000)
Primes: RFBsize:501962, AFBsize:502056, largePrimes:7770161 encountered
Relations: rels:8548694, finalFF:1151262
Max relations in full relation-set: 32
Initial matrix: 1004085 x 1151262 with sparse part having weight 177304272.
Pruned matrix : 910075 x 915159 with weight 160568505.
Total sieving time: 2049.99 hours.
Total relation processing time: 0.31 hours.
Matrix solve time: 17.74 hours.
Time per square root: 0.33 hours.
Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000
total time: 2068.37 hours.
 --------- CPU info (if available) ----------

10303379598191586330858265867696335918696020778642126223321477713749915980672659488590779723511770749202266259424465774124970837118269128204214497<146>

182889568870203650794071284414362631529537215860200743756745794054183<69>
56336617018895558480557743311920865759410306893049338916891863488753333291959<77>

10303379598191586330858265867696335918696020778642126223321477713749915980672659488590779723511770749202266259424465774124970837118269128204214497=182889568870203650794071284414362631529537215860200743756745794054183*56336617018895558480557743311920865759410306893049338916891863488753333291959

cado polynomial
n: 10303379598191586330858265867696335918696020778642126223321477713749915980672659488590779723511770749202266259424465774124970837118269128204214497
skew: 1.12
type: snfs
c0: -9
c5: 5
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 5*x^5-9
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 12800000
tasks.lim1 = 12800000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
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: 56336617018895558480557743311920865759410306893049338916891863488753333291959 182889568870203650794071284414362631529537215860200743756745794054183
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: 5.49/2.20376
Info:Generate Free Relations: Total cpu/real time for freerel: 98.65/25.2811
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 27639219
Info:Lattice Sieving: Average J: 1894.14 for 2457582 special-q, max bucket fill -bkmult 1.0,1s:1.176250
Info:Lattice Sieving: Total time: 741084s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 51.76/139.375
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 138.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 466.02/470.366
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 411.5s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 395.6/459.961
Info:Filtering - Merging: Merged matrix has 2299196 rows and total weight 391169483 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 330.63/95.1365
Info:Filtering - Merging: Total cpu/real time for replay: 87.69/76.0224
Info:Linear Algebra: Total cpu/real time for bwc: 90933.7/23310.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 14852.18, iteration CPU time 0.19, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (72192 iterations)
Info:Linear Algebra: Lingen CPU time 458.31, WCT time 133.25
Info:Linear Algebra: Mksol: WCT time 8102.48, iteration CPU time 0.21, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (36352 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 79.91/33.2633
Info:Square Root: Total cpu/real time for sqrt: 551.3/178.31
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.46406e+06/65451.2
Info:root: Cleaning up computation data in /tmp/cado.3emom4p_
56336617018895558480557743311920865759410306893049338916891863488753333291959 182889568870203650794071284414362631529537215860200743756745794054183

cado-nfs-3.0.0

6 x 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)

1144571269004122015126473162021665822069630855800863769491401872727303882051673618016074293866198362055689086153303887844158212852243278051450551173504713329853809<163>

270441075413194833671944916360436272528185970266632461878596589679951<69>
4232239009016595285076218884446374699348105883982283358735542061017277354606850334793173821759<94>

1144571269004122015126473162021665822069630855800863769491401872727303882051673618016074293866198362055689086153303887844158212852243278051450551173504713329853809=270441075413194833671944916360436272528185970266632461878596589679951*4232239009016595285076218884446374699348105883982283358735542061017277354606850334793173821759

cado polynomial
n: 1144571269004122015126473162021665822069630855800863769491401872727303882051673618016074293866198362055689086153303887844158212852243278051450551173504713329853809
skew: 1.12
type: snfs
c0: -9
c5: 50
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 50*x^5-9
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 13300000
tasks.lim1 = 13300000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
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: 270441075413194833671944916360436272528185970266632461878596589679951 4232239009016595285076218884446374699348105883982283358735542061017277354606850334793173821759
Info:Square Root: Total cpu/real time for sqrt: 1201.83/370.264
Info:Square Root: Total cpu/real time for sqrt: 1201.83/370.264
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 120.01/142.641
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 141.49999999999997s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 520.34/499.749
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 395.09999999999997s
Info:Generate Factor Base: Total cpu/real time for makefb: 5.68/1.85362
Info:Filtering - Merging: Merged matrix has 2497216 rows and total weight 426835895 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 694.47/191.705
Info:Filtering - Merging: Total cpu/real time for replay: 95.94/83.2652
Info:Linear Algebra: Total cpu/real time for bwc: 108441/27767.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 69483.16, WCT time 17741.56, iteration CPU time 0.21, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (78336 iterations)
Info:Linear Algebra: Lingen CPU time 536.17, WCT time 135.95
Info:Linear Algebra: Mksol: CPU time 37528.63,  WCT time 9587.7, iteration CPU time 0.23, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (39424 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 414.04/466.452
Info:Quadratic Characters: Total cpu/real time for characters: 86.51/38.0839
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 28684042
Info:Lattice Sieving: Average J: 1893.68 for 3026269 special-q, max bucket fill -bkmult 1.0,1s:1.118750
Info:Lattice Sieving: Total time: 739737s
Info:Generate Free Relations: Total cpu/real time for freerel: 118/32.3688
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.55155e+06/78475.6
270441075413194833671944916360436272528185970266632461878596589679951 4232239009016595285076218884446374699348105883982283358735542061017277354606850334793173821759

cado-nfs-3.0.0

4 x Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

10331787698835135971233320549268024355142642907509798979062998496133869256096716042520134899000101874188148491059860211447725287575079455781518386706097<152>

2168632766838689918632576115783405377195649<43>
4764194222655886177034856326166901781481228840032171605198783310162696238849016167824739197316648246761058353<109>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3644175409
Step 1 took 18528ms
Step 2 took 14609ms
********** Factor found in step 2: 2168632766838689918632576115783405377195649
Found probable prime factor of 43 digits: 2168632766838689918632576115783405377195649
Probable prime cofactor 4764194222655886177034856326166901781481228840032171605198783310162696238849016167824739197316648246761058353 has 109 digits

GMP-ECM 6.2.1

49999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991<200>

1224112416041742410052808832168959<34>
40845921783620723265274965609618243098936302659169196754666765677273901878095642440080026040452661066087357309697423682859960350348666458327845592281510888305426519049<167>

GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM]
Input number is 49999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991 (200 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3511593206
Step 1 took 31289ms
Step 2 took 13447ms
********** Factor found in step 2: 1224112416041742410052808832168959
Found probable prime factor of 34 digits: 1224112416041742410052808832168959
Probable prime cofactor 40845921783620723265274965609618243098936302659169196754666765677273901878095642440080026040452661066087357309697423682859960350348666458327845592281510888305426519049 has 167 digits

Core 2 Quad Q6600

6329113924050632911392405063291139240506329113924050632911392405063291139240506329113924050632911392405063291139240506329113924050632911392405063291139240506329113924050632911392405063291139240506329<199>

4565579173849692757873296750073841<34>

1386267477366716881025736493978991704108086368524410882780963548849099077745191410286959757712217661501763612288987394960172120415770934106869087379738850488433099369<166>

GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]


Input number is 6329113924050632911392405063291139240506329113924050632911392405063291139240506329113924050632911392405063291139240506329113924050632911392405063291139240506329113924050632911392405063291139240506329 (199 digits)


Using B1=61403276, B2=388130449990, polynomial Dickson(30), sigma=1148756598

Step 1 took 2057165ms


Step 2 took 549257ms


********** Factor found in step 2: 4565579173849692757873296750073841


Found probable prime factor of 34 digits: 4565579173849692757873296750073841


Composite cofactor 1386267477366716881025736493978991704108086368524410882780963548849099077745191410286959757712217661501763612288987394960172120415770934106869087379738850488433099369 has 166 digits

1386267477366716881025736493978991704108086368524410882780963548849099077745191410286959757712217661501763612288987394960172120415770934106869087379738850488433099369<166>

2583225704384937328000587461759654291646576490909<49>
536642026677566434273779623461759618234774141258822558765719076659916305356675307903158678217707488179925008893306941<117>

Number: n
N=1386267477366716881025736493978991704108086368524410882780963548849099077745191410286959757712217661501763612288987394960172120415770934106869087379738850488433099369
  ( 166 digits)
SNFS difficulty: 200 digits.
Divisors found:

Sun Nov 11 17:22:35 2012  prp49 factor: 2583225704384937328000587461759654291646576490909
Sun Nov 11 17:22:35 2012  prp117 factor: 536642026677566434273779623461759618234774141258822558765719076659916305356675307903158678217707488179925008893306941
Sun Nov 11 17:22:35 2012  elapsed time 04:41:53 (Msieve 1.44 - dependency 2)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.094).
Factorization parameters were as follows:
name: KA_49991_200
n: 1386267477366716881025736493978991704108086368524410882780963548849099077745191410286959757712217661501763612288987394960172120415770934106869087379738850488433099369
m: 10000000000000000000000000000000000000000
#  c166, diff: 200.7
skew: 1.125
deg: 5
c5: 5
c0: -9
# Murphy_E = 1.955e-11
type: snfs
lss: 1
rlim: 15500000
alim: 15500000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 15500000/15500000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 26750000)
Primes: RFBsize:1000862, AFBsize:999676,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 10114333 hash collisions in 71715295 relations (64829959 unique)
Msieve: matrix is 1666077 x 1666313 (469.8 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,200,5,0,0,0,0,0,0,0,0,15500000,15500000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.42 BogoMIPS (lpj=2830711)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830461)
Total of 4 processors activated (22644.16 BogoMIPS).

49999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991<203>

620039591386186673742100511722553839<36>

80640011855078302654973137159272851607192266102361698416396047391880102092340562254252944759447900373598888552931727121158419490893228552070627559022401517438419470969<167>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1418237307
Step 1 took 11888ms
Step 2 took 7144ms
********** Factor found in step 2: 620039591386186673742100511722553839
Found probable prime factor of 36 digits: 620039591386186673742100511722553839
Composite cofactor 80640011855078302654973137159272851607192266102361698416396047391880102092340562254252944759447900373598888552931727121158419490893228552070627559022401517438419470969 has 167 digits

GMP-ECM 6.3

80640011855078302654973137159272851607192266102361698416396047391880102092340562254252944759447900373598888552931727121158419490893228552070627559022401517438419470969<167>

6324368979344036750526892540470759386633143275888601<52>
12750681074816460320726732310376730056198373032416752024783510637474156903377646097163895628379274061522494828657569<116>

#
# N = 5x10^202-9 = 49(201)1
#
n: 80640011855078302654973137159272851607192266102361698416396047391880102092340562254252944759447900373598888552931727121158419490893228552070627559022401517438419470969
m: 10000000000000000000000000000000000000000
deg: 5
c5: 500
c0: -9
skew: 0.45
# Murphy_E = 1.137e-11
type: snfs
lss: 1
rlim: 16700000
alim: 16700000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 80640011855078302654973137159272851607192266102361698416396047391880102092340562254252944759447900373598888552931727121158419490893228552070627559022401517438419470969 (167 digits)
Using B1=36000000, B2=192389627446, polynomial Dickson(12), sigma=1:2211524429
Step 1 took 83410ms
Step 2 took 30130ms
********** Factor found in step 2: 6324368979344036750526892540470759386633143275888601
Found prime factor of 52 digits: 6324368979344036750526892540470759386633143275888601
Prime cofactor 12750681074816460320726732310376730056198373032416752024783510637474156903377646097163895628379274061522494828657569 has 116 digits

163107615241786112871464720590034321748843904126809146610314436634011865274010384182240168595756435948285479981190363785987314525334880045702051235877803307462054136120313121349150804431<186>

4186642417283322650114215290660828889<37>
38959050949382317718621391195540168759093141935912319020331005599315998217943691344299652671473113722689050447544516080459409109604241858417999899879<149>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3413262303
Step 1 took 33739ms
Step 2 took 12137ms
********** Factor found in step 2: 4186642417283322650114215290660828889
Found probable prime factor of 37 digits: 4186642417283322650114215290660828889

2266387177261457715071814793203689677482485978053094905508144301470895233134084074801104705818184219004746088829358179181582281459448238600723554295184776302219392927889978508771881169789329<190>

6117025789609527198945500209<28>

370504760844915408938133064757010907450935922150568566646927788078473110704875254969881287212032254638711282210949734632369735783212241949464460181978757525283681<162>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3436708405
Step 1 took 31263ms
Step 2 took 14804ms
********** Factor found in step 2: 6117025789609527198945500209
Found probable prime factor of 28 digits: 6117025789609527198945500209
Composite cofactor 370504760844915408938133064757010907450935922150568566646927788078473110704875254969881287212032254638711282210949734632369735783212241949464460181978757525283681 has 162 digits

GMP-ECM 6.3

370504760844915408938133064757010907450935922150568566646927788078473110704875254969881287212032254638711282210949734632369735783212241949464460181978757525283681<162>

4620066213700775648313410861612521773887<40>
3781795272529984440068829006591316779698834950543<49>
21205454170246584261926717590226248591789493403457997615569769301720091441<74>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3091862823
Step 1 took 105715ms
Step 2 took 33515ms
********** Factor found in step 2: 4620066213700775648313410861612521773887
Found probable prime factor of 40 digits: 4620066213700775648313410861612521773887
Composite cofactor 80194686332889776190727421160022673119465471980091698892439645696994771342110982626094876766233852933211068286000672602463 has 122 digits

GNFS:
prp49 = 3781795272529984440068829006591316779698834950543
prp74 = 21205454170246584261926717590226248591789493403457997615569769301720091441
NFS elapsed time = 12080.8826 seconds.

49999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991<209>

94899933524815260035997515965203932136517069<44>

526870758944478766272574841095793155974221776958428610951897891518075072046221943673516627957136196567298452038010395199111496384380258423680634581871501699772694739<165>

GMP-ECM 6.3 [configured with GMP 5.0.5 and --enable-asm-redc] [ECM]
Input number is 49999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991 (209 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=6667949318
Step 1 took 15078ms
Step 2 took 5662ms
********** Factor found in step 2: 94899933524815260035997515965203932136517069
Found probable prime factor of 44 digits: 94899933524815260035997515965203932136517069
Composite cofactor 526870758944478766272574841095793155974221776958428610951897891518075072046221943673516627957136196567298452038010395199111496384380258423680634581871501699772694739 has 165 digits

Core i7 980

526870758944478766272574841095793155974221776958428610951897891518075072046221943673516627957136196567298452038010395199111496384380258423680634581871501699772694739<165>

4195862457904668813872832962941001833882075407030653256695185913129<67>
125569120587329180626613905433344207638679363461118324707874517587595676890954389975610998307400091<99>

Number: n
N=526870758944478766272574841095793155974221776958428610951897891518075072046221943673516627957136196567298452038010395199111496384380258423680634581871501699772694739  ( 165 digits)
SNFS difficulty: 209 digits.
Divisors found:

Wed Nov  6 10:21:20 2024  prp67 factor: 4195862457904668813872832962941001833882075407030653256695185913129
Wed Nov  6 10:21:20 2024  prp99 factor: 125569120587329180626613905433344207638679363461118324707874517587595676890954389975610998307400091
Wed Nov  6 10:21:20 2024  elapsed time 02:39:53 (Msieve 1.44 - dependency 3)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.134).
Factorization parameters were as follows:
#
# N = 5x10^208-9 = 49(207)1
#
n: 526870758944478766272574841095793155974221776958428610951897891518075072046221943673516627957136196567298452038010395199111496384380258423680634581871501699772694739
m: 500000000000000000000000000000000000000000
deg: 5
c5: 8
c0: -45
skew: 1.41
# Murphy_E = 8.189e-12
type: snfs
lss: 1
rlim: 22000000
alim: 22000000
lpbr: 27
lpba: 27
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
q0: 50000
qintsize: 50000
Factor base limits: 22000000/22000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 57/57
Sieved  special-q in [50000, 48850000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8645040 hash collisions in 29007069 relations (18454839 unique)
Msieve: matrix is 2217930 x 2218155 (624.0 MB)

Sieving start time: 2024/11/05 04:19:27
Sieving end time  : 2024/11/06 07:23:46

Total sieving time: 27hrs 4min 19secs.

Total relation processing time: 2hrs 26min 22sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 53sec.

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

140024711778440071004638208469520879872360774025135051325191105979332299448948999588428399249538280247996159231691900928281472964722895171727790959872978744025457801<165>

258417551878354448445564512701023764401<39>
541854493863304841510492309540467813106028824211620389481943637343834342881296917314395862586437146477400919219916778190733401<126>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2457127502
Step 1 took 105801ms
Step 2 took 35517ms
********** Factor found in step 2: 258417551878354448445564512701023764401
Found probable prime factor of 39 digits: 258417551878354448445564512701023764401

26259548091976884317484381231270781965992449456452996216101959459619913443601282392024713418297005674630732066613804320218496684440206999549345129594916057202602373174889799615142791<182>

8502285352582156300448131603577557449937405676437925320062292042410128256827530851439694468204013013341458620102722436893184539064434156790185679592791529670913128892297493379628943<181>

2992819878536560353405086623379482337638003242938429222128088423189546775161142704891802592405782099476108063779191232375917868175414807472405513120261218815934431224458700703288512737000841091<193>

2201784504939778484236854508404341851468264324912421499997415123250118039497401524119240859866777577613793934211704315647915697832337985159026500642523598008710543974665490640540254214157203479<193>

183953064769185429107956089693577688386887659785154297658387221525077883669466381125607423882703812496022798578747455899704229449364963443054533677854394174039<159>

30555426078732568477524177044620573113680008222632947079491799619483416421093536864963707146695489545868741451120370751029065299342355263233622460914504192968027245185977<170>

15574282183561793844557028916165575071386284168291483196699289<62>
1961915529627615224097326188676591420419208033521883896632499890805015560445818727900325529147292925604328993<109>

Number: 49991_219
N = 30555426078732568477524177044620573113680008222632947079491799619483416421093536864963707146695489545868741451120370751029065299342355263233622460914504192968027245185977 (170 digits)
SNFS difficulty: 220 digits.
Divisors found:
r1=15574282183561793844557028916165575071386284168291483196699289 (pp62)
r2=1961915529627615224097326188676591420419208033521883896632499890805015560445818727900325529147292925604328993 (pp109)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 54.63 hours.
Factorization parameters were as follows:
n: 30555426078732568477524177044620573113680008222632947079491799619483416421093536864963707146695489545868741451120370751029065299342355263233622460914504192968027245185977
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 1
c0: -18
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: 6819348 relations
Pruned matrix : 5989197 x 5989422
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 28.74 hours.
Total relation processing time: 0.35 hours.
Matrix solve time: 25.38 hours.
time per square root: 0.16 hours.
Prototype def-par.txt line would be: snfs,220,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 54.63 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

114163658351009450896506592488628467652186715635649458426078357392531181722020180458535784214765706710964487408923279891076112557760521156281478763873323767624371745201714550042630748179761<189>

1643785755581691552264629328800100849767554161799363881028224047514337530113163569233564091<91>
69451665439581573585051950465413153328097479209545149951454519439279614377080813396586069044922371<98>

Number: 49991_220
N = 114163658351009450896506592488628467652186715635649458426078357392531181722020180458535784214765706710964487408923279891076112557760521156281478763873323767624371745201714550042630748179761 (189 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=1643785755581691552264629328800100849767554161799363881028224047514337530113163569233564091 (pp91)
r2=69451665439581573585051950465413153328097479209545149951454519439279614377080813396586069044922371 (pp98)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 67.06 hours.
Factorization parameters were as follows:
n: 114163658351009450896506592488628467652186715635649458426078357392531181722020180458535784214765706710964487408923279891076112557760521156281478763873323767624371745201714550042630748179761
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 5
c0: -9
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/28
Relations: 7189486 relations
Pruned matrix : 6357768 x 6357993
Total pre-computation time approximately 300 CPU-days.
Pre-computation saved approximately 8 G relations.
Total batch smoothness checking time: 32.23 hours.
Total relation processing time: 0.38 hours.
Matrix solve time: 34.26 hours.
time per square root: 0.19 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000
total time: 67.06 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

57480586157604526597519312709596829915496685008526101915948901066162284131333028030331023508671791840473041868455465596575983808365867445691945334076843513625026495762555977880691305547225576131<194>

2196261205011495299922971104808002817334769652382972569299<58>

26172017256619378936562009497923378572232060541860310285521806875367315256195853762265801594162869990904178394540431777809303289017855569<137>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1214421351
Step 1 took 89251ms
Step 2 took 28002ms
********** Factor found in step 2: 2196261205011495299922971104808002817334769652382972569299
Found probable prime factor of 58 digits: 2196261205011495299922971104808002817334769652382972569299
Composite cofactor 261720172566193789365620094979233785722320605418603102855218068753673152561958537622658015941628699                                        90904178394540431777809303289017855569 has 137 digits

26172017256619378936562009497923378572232060541860310285521806875367315256195853762265801594162869990904178394540431777809303289017855569<137>

114013426019258225012871773423352688509269<42>
229552063913934255756320670600649025649127986081183905318604624040659610676590821430931211282701<96>

Sun Jul 28 11:54:30 2013 -> factmsieve.py (v0.76)
Sun Jul 28 11:54:30 2013 -> This is client 1 of 1
Sun Jul 28 11:54:30 2013 -> Running on 2 Cores with 2 hyper-threads per Core
Sun Jul 28 11:54:30 2013 -> Working with NAME = 49991_222
Sun Jul 28 11:55:57 2013 -> factmsieve.py (v0.76)
Sun Jul 28 11:55:57 2013 -> This is client 1 of 1
Sun Jul 28 11:55:57 2013 -> Running on 2 Cores with 2 hyper-threads per Core
Sun Jul 28 11:55:57 2013 -> Working with NAME = 49991_222
Sun Jul 28 11:55:57 2013 -> Selected lattice siever: gnfs-lasieve4I13e
Sun Jul 28 11:55:57 2013 -> Creating param file to detect parameter changes...
Sun Jul 28 11:55:58 2013 -> Running setup ...
Sun Jul 28 11:55:58 2013 -> Estimated minimum relations needed: 2.112e+07
Sun Jul 28 11:55:58 2013 -> cleaning up before a restart
Sun Jul 28 11:55:58 2013 -> Running lattice siever ...
Sun Jul 28 11:55:58 2013 -> entering sieving loop
<snipp sieving>
Sun Aug 04 09:38:58 2013 Found 23288701 relations, 110.3% of the estimated minimum (21120000).
Sun Aug 04 09:38:58 2013  
Sun Aug 04 09:38:58 2013  
Sun Aug 04 09:38:58 2013  Msieve v. 1.52 (SVN 927)
Sun Aug 04 09:38:58 2013  random seeds: 9de72038 8723cc5d
Sun Aug 04 09:38:58 2013  factoring 26172017256619378936562009497923378572232060541860310285521806875367315256195853762265801594162869990904178394540431777809303289017855569 (137 digits)
Sun Aug 04 09:39:01 2013  searching for 15-digit factors
Sun Aug 04 09:39:05 2013  commencing number field sieve (137-digit input)
Sun Aug 04 09:39:05 2013  R0: -816772052465859244159897386
Sun Aug 04 09:39:05 2013  R1: 127018802445409
Sun Aug 04 09:39:05 2013  A0: 30727563197548402088255327222752015
Sun Aug 04 09:39:05 2013  A1: -46406103852551439278738986061
Sun Aug 04 09:39:05 2013  A2: 5100115502406567912909
Sun Aug 04 09:39:05 2013  A3: 4332742889291456
Sun Aug 04 09:39:05 2013  A4: 379808459
Sun Aug 04 09:39:05 2013  A5: 72
Sun Aug 04 09:39:05 2013  skew 3968507.94, size 3.595e-013, alpha -6.090, combined = 3.495e-011 rroots = 3
Sun Aug 04 09:39:05 2013  
Sun Aug 04 09:39:05 2013  commencing relation filtering
Sun Aug 04 09:39:05 2013  estimated available RAM is 3884.5 MB
Sun Aug 04 09:39:05 2013  commencing duplicate removal, pass 1
Sun Aug 04 09:52:30 2013  found 3645786 hash collisions in 23288700 relations
Sun Aug 04 09:54:56 2013  added 19 free relations
Sun Aug 04 09:54:56 2013  commencing duplicate removal, pass 2
Sun Aug 04 09:55:36 2013  found 3332470 duplicates and 19956249 unique relations
Sun Aug 04 09:55:36 2013  memory use: 106.6 MB
Sun Aug 04 09:55:36 2013  reading ideals above 14876672
Sun Aug 04 09:55:52 2013  commencing singleton removal, initial pass
Sun Aug 04 10:08:02 2013  memory use: 376.5 MB
Sun Aug 04 10:08:02 2013  reading all ideals from disk
Sun Aug 04 10:08:02 2013  memory use: 341.8 MB
Sun Aug 04 10:08:04 2013  commencing in-memory singleton removal
Sun Aug 04 10:08:05 2013  begin with 19956249 relations and 19996925 unique ideals
Sun Aug 04 10:08:22 2013  reduce to 7917159 relations and 5924273 ideals in 21 passes
Sun Aug 04 10:08:22 2013  max relations containing the same ideal: 27
Sun Aug 04 10:08:24 2013  reading ideals above 100000
Sun Aug 04 10:08:24 2013  commencing singleton removal, initial pass
Sun Aug 04 10:14:04 2013  memory use: 188.3 MB
Sun Aug 04 10:14:04 2013  reading all ideals from disk
Sun Aug 04 10:14:05 2013  memory use: 304.2 MB
Sun Aug 04 10:14:06 2013  keeping 7803234 ideals with weight <= 200, target excess is 41968
Sun Aug 04 10:14:08 2013  commencing in-memory singleton removal
Sun Aug 04 10:14:09 2013  begin with 7917178 relations and 7803234 unique ideals
Sun Aug 04 10:14:40 2013  reduce to 7859127 relations and 7745036 ideals in 20 passes
Sun Aug 04 10:14:40 2013  max relations containing the same ideal: 200
Sun Aug 04 10:14:49 2013  removing 479589 relations and 446885 ideals in 32704 cliques
Sun Aug 04 10:14:49 2013  commencing in-memory singleton removal
Sun Aug 04 10:14:51 2013  begin with 7379538 relations and 7745036 unique ideals
Sun Aug 04 10:15:05 2013  reduce to 7354322 relations and 7272780 ideals in 10 passes
Sun Aug 04 10:15:05 2013  max relations containing the same ideal: 197
Sun Aug 04 10:15:14 2013  removing 345487 relations and 312783 ideals in 32704 cliques
Sun Aug 04 10:15:14 2013  commencing in-memory singleton removal
Sun Aug 04 10:15:15 2013  begin with 7008835 relations and 7272780 unique ideals
Sun Aug 04 10:15:29 2013  reduce to 6994383 relations and 6945465 ideals in 10 passes
Sun Aug 04 10:15:29 2013  max relations containing the same ideal: 190
Sun Aug 04 10:15:41 2013  relations with 0 large ideals: 160
Sun Aug 04 10:15:41 2013  relations with 1 large ideals: 92
Sun Aug 04 10:15:41 2013  relations with 2 large ideals: 1297
Sun Aug 04 10:15:41 2013  relations with 3 large ideals: 17256
Sun Aug 04 10:15:41 2013  relations with 4 large ideals: 125083
Sun Aug 04 10:15:41 2013  relations with 5 large ideals: 527467
Sun Aug 04 10:15:41 2013  relations with 6 large ideals: 1341827
Sun Aug 04 10:15:41 2013  relations with 7+ large ideals: 4981201
Sun Aug 04 10:15:41 2013  commencing 2-way merge
Sun Aug 04 10:15:54 2013  reduce to 3972678 relation sets and 3923764 unique ideals
Sun Aug 04 10:15:54 2013  ignored 4 oversize relation sets
Sun Aug 04 10:15:54 2013  commencing full merge
Sun Aug 04 10:18:44 2013  memory use: 466.8 MB
Sun Aug 04 10:18:45 2013  found 2042776 cycles, need 2039964
Sun Aug 04 10:18:46 2013  weight of 2039964 cycles is about 142996943 (70.10/cycle)
Sun Aug 04 10:18:46 2013  distribution of cycle lengths:
Sun Aug 04 10:18:46 2013  1 relations: 307717
Sun Aug 04 10:18:46 2013  2 relations: 263671
Sun Aug 04 10:18:46 2013  3 relations: 249789
Sun Aug 04 10:18:46 2013  4 relations: 214387
Sun Aug 04 10:18:46 2013  5 relations: 181650
Sun Aug 04 10:18:46 2013  6 relations: 150947
Sun Aug 04 10:18:46 2013  7 relations: 125579
Sun Aug 04 10:18:46 2013  8 relations: 101791
Sun Aug 04 10:18:46 2013  9 relations: 83329
Sun Aug 04 10:18:46 2013  10+ relations: 361104
Sun Aug 04 10:18:46 2013  heaviest cycle: 28 relations
Sun Aug 04 10:18:47 2013  commencing cycle optimization
Sun Aug 04 10:18:53 2013  start with 11699357 relations
Sun Aug 04 10:19:45 2013  pruned 222818 relations
Sun Aug 04 10:19:45 2013  memory use: 403.0 MB
Sun Aug 04 10:19:45 2013  distribution of cycle lengths:
Sun Aug 04 10:19:45 2013  1 relations: 307717
Sun Aug 04 10:19:45 2013  2 relations: 269264
Sun Aug 04 10:19:45 2013  3 relations: 257336
Sun Aug 04 10:19:45 2013  4 relations: 217426
Sun Aug 04 10:19:45 2013  5 relations: 184055
Sun Aug 04 10:19:45 2013  6 relations: 151247
Sun Aug 04 10:19:45 2013  7 relations: 125097
Sun Aug 04 10:19:45 2013  8 relations: 100604
Sun Aug 04 10:19:45 2013  9 relations: 81858
Sun Aug 04 10:19:45 2013  10+ relations: 345360
Sun Aug 04 10:19:45 2013  heaviest cycle: 28 relations
Sun Aug 04 10:19:49 2013  RelProcTime: 2444
Sun Aug 04 10:19:49 2013  elapsed time 00:40:51
Sun Aug 04 10:19:49 2013 LatSieveTime: 8159.82
Sun Aug 04 10:19:49 2013 -> Running matrix solving step ...
Sun Aug 04 10:19:49 2013  
Sun Aug 04 10:19:49 2013  
Sun Aug 04 10:19:49 2013  Msieve v. 1.52 (SVN 927)
Sun Aug 04 10:19:49 2013  random seeds: 7b9cfa40 26e41f4d
Sun Aug 04 10:19:49 2013  factoring 26172017256619378936562009497923378572232060541860310285521806875367315256195853762265801594162869990904178394540431777809303289017855569 (137 digits)
Sun Aug 04 10:19:52 2013  searching for 15-digit factors
Sun Aug 04 10:19:55 2013  commencing number field sieve (137-digit input)
Sun Aug 04 10:19:55 2013  R0: -816772052465859244159897386
Sun Aug 04 10:19:55 2013  R1: 127018802445409
Sun Aug 04 10:19:55 2013  A0: 30727563197548402088255327222752015
Sun Aug 04 10:19:55 2013  A1: -46406103852551439278738986061
Sun Aug 04 10:19:55 2013  A2: 5100115502406567912909
Sun Aug 04 10:19:55 2013  A3: 4332742889291456
Sun Aug 04 10:19:55 2013  A4: 379808459
Sun Aug 04 10:19:55 2013  A5: 72
Sun Aug 04 10:19:55 2013  skew 3968507.94, size 3.595e-013, alpha -6.090, combined = 3.495e-011 rroots = 3
Sun Aug 04 10:19:55 2013  
Sun Aug 04 10:19:55 2013  commencing linear algebra
Sun Aug 04 10:19:57 2013  read 2039964 cycles
Sun Aug 04 10:20:06 2013  cycles contain 6920851 unique relations
Sun Aug 04 10:24:18 2013  read 6920851 relations
Sun Aug 04 10:24:42 2013  using 20 quadratic characters above 268435314
Sun Aug 04 10:26:30 2013  building initial matrix
Sun Aug 04 10:30:06 2013  memory use: 886.9 MB
Sun Aug 04 10:30:11 2013  read 2039964 cycles
Sun Aug 04 10:30:14 2013  matrix is 2039786 x 2039964 (613.1 MB) with weight 192899704 (94.56/col)
Sun Aug 04 10:30:14 2013  sparse part has weight 138291053 (67.79/col)
Sun Aug 04 10:31:13 2013  filtering completed in 2 passes
Sun Aug 04 10:31:16 2013  matrix is 2038953 x 2039130 (613.1 MB) with weight 192867639 (94.58/col)
Sun Aug 04 10:31:16 2013  sparse part has weight 138284008 (67.82/col)
Sun Aug 04 10:31:28 2013  matrix starts at (0, 0)
Sun Aug 04 10:31:30 2013  matrix is 2038953 x 2039130 (613.1 MB) with weight 192867639 (94.58/col)
Sun Aug 04 10:31:30 2013  sparse part has weight 138284008 (67.82/col)
Sun Aug 04 10:31:30 2013  saving the first 48 matrix rows for later
Sun Aug 04 10:31:32 2013  matrix includes 64 packed rows
Sun Aug 04 10:31:33 2013  matrix is 2038905 x 2039130 (594.7 MB) with weight 153138664 (75.10/col)
Sun Aug 04 10:31:33 2013  sparse part has weight 135507796 (66.45/col)
Sun Aug 04 10:31:33 2013  using block size 8192 and superblock size 294912 for processor cache size 3072 kB
Sun Aug 04 10:32:04 2013  commencing Lanczos iteration (4 threads)
Sun Aug 04 10:32:04 2013  memory use: 472.4 MB
Sun Aug 04 10:32:38 2013  linear algebra at 0.1%, ETA 11h55m
Sun Aug 04 10:32:48 2013  checkpointing every 180000 dimensions
Sun Aug 04 22:58:33 2013  lanczos halted after 32245 iterations (dim = 2038903)
Sun Aug 04 22:58:44 2013  recovered 29 nontrivial dependencies
Sun Aug 04 22:58:46 2013  BLanczosTime: 45531
Sun Aug 04 22:58:46 2013  elapsed time 12:38:57
Sun Aug 04 22:58:46 2013 -> Running square root step ...
Sun Aug 04 22:58:46 2013  
Sun Aug 04 22:58:46 2013  
Sun Aug 04 22:58:46 2013  Msieve v. 1.52 (SVN 927)
Sun Aug 04 22:58:46 2013  random seeds: b3e49b40 82dc8775
Sun Aug 04 22:58:46 2013  factoring 26172017256619378936562009497923378572232060541860310285521806875367315256195853762265801594162869990904178394540431777809303289017855569 (137 digits)
Sun Aug 04 22:58:49 2013  searching for 15-digit factors
Sun Aug 04 22:58:52 2013  commencing number field sieve (137-digit input)
Sun Aug 04 22:58:52 2013  R0: -816772052465859244159897386
Sun Aug 04 22:58:52 2013  R1: 127018802445409
Sun Aug 04 22:58:52 2013  A0: 30727563197548402088255327222752015
Sun Aug 04 22:58:52 2013  A1: -46406103852551439278738986061
Sun Aug 04 22:58:52 2013  A2: 5100115502406567912909
Sun Aug 04 22:58:52 2013  A3: 4332742889291456
Sun Aug 04 22:58:52 2013  A4: 379808459
Sun Aug 04 22:58:52 2013  A5: 72
Sun Aug 04 22:58:52 2013  skew 3968507.94, size 3.595e-013, alpha -6.090, combined = 3.495e-011 rroots = 3
Sun Aug 04 22:58:52 2013  
Sun Aug 04 22:58:52 2013  commencing square root phase
Sun Aug 04 22:58:52 2013  reading relations for dependency 1
Sun Aug 04 22:58:54 2013  read 1019004 cycles
Sun Aug 04 22:58:59 2013  cycles contain 3458468 unique relations
Sun Aug 04 23:01:18 2013  read 3458468 relations
Sun Aug 04 23:02:10 2013  multiplying 3458468 relations
Sun Aug 04 23:13:08 2013  multiply complete, coefficients have about 138.73 million bits
Sun Aug 04 23:13:12 2013  initial square root is modulo 95261
Sun Aug 04 23:26:43 2013  GCD is N, no factor found
Sun Aug 04 23:26:43 2013  reading relations for dependency 2
Sun Aug 04 23:26:45 2013  read 1019031 cycles
Sun Aug 04 23:26:49 2013  cycles contain 3460188 unique relations
Sun Aug 04 23:29:07 2013  read 3460188 relations
Sun Aug 04 23:29:59 2013  multiplying 3460188 relations
Sun Aug 04 23:40:53 2013  multiply complete, coefficients have about 138.80 million bits
Sun Aug 04 23:40:58 2013  initial square root is modulo 95803
Sun Aug 04 23:54:35 2013  GCD is N, no factor found
Sun Aug 04 23:54:35 2013  reading relations for dependency 3
Sun Aug 04 23:54:36 2013  read 1017835 cycles
Sun Aug 04 23:54:41 2013  cycles contain 3455696 unique relations
Sun Aug 04 23:57:00 2013  read 3455696 relations
Sun Aug 04 23:57:53 2013  multiplying 3455696 relations
Mon Aug 05 00:09:12 2013  multiply complete, coefficients have about 138.62 million bits
Mon Aug 05 00:09:16 2013  initial square root is modulo 94433
Mon Aug 05 00:22:55 2013  sqrtTime: 5043
Mon Aug 05 00:22:55 2013  prp42 factor: 114013426019258225012871773423352688509269
Mon Aug 05 00:22:55 2013  prp96 factor: 229552063913934255756320670600649025649127986081183905318604624040659610676590821430931211282701
Mon Aug 05 00:22:55 2013  elapsed time 01:24:09
Mon Aug 05 00:22:55 2013 -> Computing 1.37565e+09 scale for this machine...
Mon Aug 05 00:22:55 2013 -> procrels -speedtest> PIPE

factmsieve.py via msieve v.1.52 (SVN 927)

core i3 - 350M and windows 7 home professional 64bit

17182648301519047728036339002806675974756972754850231104265632613883832550018609306407345872741847468193870711474265069445712690942621703824181993282814104418509041393209730321630539602777261823896720769958896641271<215>

41224668145860684097741684780079627347379493920249<50>
277139342800788716480013969306510955775257870864917533592729184187605934651633<78>
1503954681405809497659653289964597932384550491770415811579439497939380498389745021863263<88>

Number: n
N=17182648301519047728036339002806675974756972754850231104265632613883832550018609306407345872741847468193870711474265069445712690942621703824181993282814104418509041393209730321630539602777261823896720769958896641271  ( 215 digits)
SNFS difficulty: 223 digits.
Divisors found:

Fri Jun  5 22:52:34 2020  found factor: 277139342800788716480013969306510955775257870864917533592729184187605934651633
Fri Jun  5 23:03:43 2020  p50 factor: 41224668145860684097741684780079627347379493920249
Fri Jun  5 23:03:43 2020  p78 factor: 277139342800788716480013969306510955775257870864917533592729184187605934651633
Fri Jun  5 23:03:43 2020  p88 factor: 1503954681405809497659653289964597932384550491770415811579439497939380498389745021863263
Fri Jun  5 23:03:43 2020  elapsed time 14:53:26 (Msieve 1.54 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.117).
Factorization parameters were as follows:
#
# N = 5x10^223-9 = 49(222)1
#
n: 17182648301519047728036339002806675974756972754850231104265632613883832550018609306407345872741847468193870711474265069445712690942621703824181993282814104418509041393209730321630539602777261823896720769958896641271
m: 10000000000000000000000000000000000000
deg: 6
c6: 50
c0: -9
skew: 0.75
# Murphy_E = 1.756e-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, 108900000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9897449 hash collisions in 56864234 relations (48904467 unique)
Msieve: matrix is 5532554 x 5532779 (1942.2 MB)

Sieving start time: 2020/06/03 01:58:08
Sieving end time  : 2020/06/05 08:09:19

Total sieving time: 54hrs 11min 11secs.

Total relation processing time: 14hrs 10min 8sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 22min 20sec.

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) ----------
[    0.149558] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283204K/16703460K available (12300K kernel code, 2481K rwdata, 4268K rodata, 2432K init, 2712K bss, 420256K reserved, 0K cma-reserved)
[    0.184558] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.59 BogoMIPS (lpj=11977184)
[    0.182227] smpboot: Total of 16 processors activated (95817.47 BogoMIPS)

3144436548414889535944054184930602285376483387941714724138581607561741011628126356038261503921112375873367251322235568608461049864474784763318261000811264629491041500273565979712095389627132714088962398827754054750929181<220>

3326284165636101568150024312068118507126391261327493376651460909614388415198180197831126131<91>
945330101649196762437636845806375265187590177382438477190397987835347978791158933908584954499326289129793560037813746228785301551<129>

Number: n
N=3144436548414889535944054184930602285376483387941714724138581607561741011628126356038261503921112375873367251322235568608461049864474784763318261000811264629491041500273565979712095389627132714088962398827754054750929181
  ( 220 digits)
SNFS difficulty: 224 digits.
Divisors found:

Sun Oct 27 09:20:40 2019  p91 factor: 3326284165636101568150024312068118507126391261327493376651460909614388415198180197831126131
Sun Oct 27 09:20:40 2019  p129 factor: 945330101649196762437636845806375265187590177382438477190397987835347978791158933908584954499326289129793560037813746228785301551
Sun Oct 27 09:20:40 2019  elapsed time 13:41:29 (Msieve 1.54 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.143).
Factorization parameters were as follows:
#
# N = 5x10^224-9 = 49(223)1
#
n: 3144436548414889535944054184930602285376483387941714724138581607561741011628126356038261503921112375873367251322235568608461049864474784763318261000811264629491041500273565979712095389627132714088962398827754054750929181
m: 500000000000000000000000000000000000000000000
deg: 5
c5: 16
c0: -9
skew: 0.89
# Murphy_E = 1.646e-12
type: snfs
lss: 1
rlim: 39000000
alim: 39000000
lpbr: 29
lpba: 29
mfbr: 59
mfba: 59
rlambda: 2.6
alambda: 2.6
Factor base limits: 39000000/39000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 59/59
Sieved  special-q in [100000, 88300000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9349924 hash collisions in 57159504 relations (48742659 unique)
Msieve: matrix is 5392521 x 5392746 (1885.4 MB)

Sieving start time: 2019/10/24 22:26:11
Sieving end time  : 2019/10/26 19:29:48

Total sieving time: 45hrs 3min 37secs.

Total relation processing time: 13hrs 4min 41sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 16min 16sec.

Prototype def-par.txt line would be:
snfs,224,5,0,0,0,0,0,0,0,0,39000000,39000000,29,29,59,59,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149912] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16284044K/16703460K available (12300K kernel code, 2481K rwdata, 4256K rodata, 2436K init, 2388K bss, 419416K reserved, 0K cma-reserved)
[    0.184564] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.54 BogoMIPS (lpj=11977096)
[    0.182216] smpboot: Total of 16 processors activated (95816.76 BogoMIPS)

30023611555448464210558895002064918074600470798433936797445455043482381756381056793041206784533546769589301765288429115560925966996408569663<140>

308920966558508340816749170157147470997859479736879019489360513<63>
97188649543352110351360227686855138652311602652684051438814999043240760879551<77>

Msieve v. 1.51 (SVN 837M)
Thu Dec  6 18:34:19 2012
random seeds: f6d798d2 40b13c37
factoring 30023611555448464210558895002064918074600470798433936797445455043482381756381056793041206784533546769589301765288429115560925966996408569663 (140 digits)
searching for 15-digit factors
commencing number field sieve (140-digit input)
R0: -1409333399835004359101204316
R1: 214163407420781
A0: 84849188934193181195870576424112941695
A1: -6813098352375253174712254873307
A2: -4474870165347656693482721
A3: -177559639518480709
A4: 36876811290
A5: 5400
skew 8116733.33, size 2.013e-13, alpha -9.435, combined = 2.409e-11 rroots = 3

commencing relation filtering
estimated available RAM is 16079.7 MB
commencing duplicate removal, pass 1
error -11 reading relation 4770892
read 10M relations
error -9 reading relation 14206950
error -15 reading relation 18874202
error -15 reading relation 19239407
error -15 reading relation 19603542
error -9 reading relation 19967316
read 20M relations
error -1 reading relation 20331341
error -11 reading relation 20697493
error -1 reading relation 21060329
error -15 reading relation 25581979
read 30M relations
error -11 reading relation 30093375
error -15 reading relation 34538248
error -15 reading relation 38922442
read 40M relations
error -15 reading relation 43611374
error -11 reading relation 48351241
read 50M relations
error -15 reading relation 53123530
skipped 1 relations with b > 2^32
found 5342040 hash collisions in 57932249 relations
added 122117 free relations
commencing duplicate removal, pass 2
found 3038451 duplicates and 55015915 unique relations
memory use: 197.2 MB
reading ideals above 720000
commencing singleton removal, initial pass

memory use: 1506.0 MB
reading all ideals from disk
memory use: 1819.3 MB
keeping 59756662 ideals with weight <= 200, target excess is 523149
commencing in-memory singleton removal
begin with 55015914 relations and 59756662 unique ideals
reduce to 17634469 relations and 15600205 ideals in 20 passes
max relations containing the same ideal: 95
removing 3023864 relations and 2623864 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 14610605 relations and 15600205 unique ideals
reduce to 14186774 relations and 12539673 ideals in 11 passes
max relations containing the same ideal: 81
removing 2251576 relations and 1851576 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 11935198 relations and 12539673 unique ideals
reduce to 11635946 relations and 10380065 ideals in 11 passes
max relations containing the same ideal: 73
removing 2016431 relations and 1616431 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 9619515 relations and 10380065 unique ideals
reduce to 9321910 relations and 8456222 ideals in 10 passes
max relations containing the same ideal: 62
removing 1379635 relations and 1120800 ideals in 258835 cliques
commencing in-memory singleton removal
begin with 7942275 relations and 8456222 unique ideals
reduce to 7777174 relations and 7165958 ideals in 10 passes
max relations containing the same ideal: 60
relations with 0 large ideals: 9440
relations with 1 large ideals: 113856
relations with 2 large ideals: 579503
relations with 3 large ideals: 1535275
relations with 4 large ideals: 2249655
relations with 5 large ideals: 1912014
relations with 6 large ideals: 992124
relations with 7+ large ideals: 385307
commencing 2-way merge
reduce to 4316023 relation sets and 3704807 unique ideals
commencing full merge
memory use: 379.6 MB
found 2259490 cycles, need 2173007
weight of 2173007 cycles is about 152292436 (70.08/cycle)
distribution of cycle lengths:
1 relations: 267852
2 relations: 256344
3 relations: 263178
4 relations: 240669
5 relations: 215931
6 relations: 191276
7 relations: 169090
8 relations: 143032
9 relations: 119161
10+ relations: 306474
heaviest cycle: 16 relations
commencing cycle optimization
start with 11678795 relations
pruned 203720 relations
memory use: 418.4 MB
distribution of cycle lengths:
1 relations: 267852
2 relations: 261348
3 relations: 270536
4 relations: 244922
5 relations: 219679
6 relations: 193560
7 relations: 170065
8 relations: 142674
9 relations: 117882
10+ relations: 284489
heaviest cycle: 16 relations
RelProcTime: 2013

commencing linear algebra
read 2173007 cycles
cycles contain 7217303 unique relations
read 7217303 relations
using 20 quadratic characters above 1073720112
building initial matrix
memory use: 954.6 MB
read 2173007 cycles
matrix is 2172783 x 2173007 (664.9 MB) with weight 209552196 (96.43/col)
sparse part has weight 148234724 (68.22/col)
filtering completed in 3 passes
matrix is 2161644 x 2161844 (663.7 MB) with weight 209040365 (96.70/col)
sparse part has weight 148038015 (68.48/col)
matrix starts at (0, 0)
matrix is 2161644 x 2161844 (663.7 MB) with weight 209040365 (96.70/col)
sparse part has weight 148038015 (68.48/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2161596 x 2161844 (638.2 MB) with weight 166714298 (77.12/col)
sparse part has weight 145677701 (67.39/col)
using block size 65536 for processor cache size 6144 kB
commencing Lanczos iteration (6 threads)
memory use: 579.7 MB
linear algebra at 0.1%, ETA 3h57m2161844 dimensions (0.1%, ETA 3h57m)    
checkpointing every 570000 dimensions844 dimensions (0.1%, ETA 3h51m)    
linear algebra completed 2161415 of 2161844 dimensions (100.0%, ETA 0h 0m)    
lanczos halted after 34184 iterations (dim = 2161596)
recovered 30 nontrivial dependencies
BLanczosTime: 19367

commencing square root phase
reading relations for dependency 1
read 1081554 cycles
cycles contain 3607470 unique relations
read 3607470 relations
multiplying 3607470 relations
multiply complete, coefficients have about 170.85 million bits
initial square root is modulo 1353173
sqrtTime: 671
prp63 factor: 308920966558508340816749170157147470997859479736879019489360513
prp77 factor: 97188649543352110351360227686855138652311602652684051438814999043240760879551
elapsed time 06:07:32

ggnfs-sievers (14e, 64 bit asm)

Phenom 2 1090T, 3.8Ghz

2172527978546517976572120868116487381236564222143282177012778700139193550399803147536757946923878499491108555167689637644630464814768087285568584824226940675156532021583856179958814540028766802542983613271<205>

938432885648231565022544325206729523772618426271276697092774575683956149101221731267473461019342995605230187266322708584292821132557480010102805525706180287<156>

1962761629217768326622346970986505310441640875119<49>

478118622087711738511636166957068503893502792540250122110330821472658740040142604587674155265245336785271473<108>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:4148416314
Step 1 took 42531ms
Step 2 took 18516ms
********** Factor found in step 2: 1962761629217768326622346970986505310441640875119
Found prime factor of 49 digits: 1962761629217768326622346970986505310441640875119
Composite cofactor 478118622087711738511636166957068503893502792540250122110330821472658740040142604587674155265245336785271473 has 108 digits

GMP-ECM 7.0

478118622087711738511636166957068503893502792540250122110330821472658740040142604587674155265245336785271473<108>

25740202510416078025170231924406096461928656749407<50>
18574780905248720218969658238934342277262356698494301817839<59>

Divisors found:
p50 factor: 25740202510416078025170231924406096461928656749407
p59 factor: 18574780905248720218969658238934342277262356698494301817839
Version: Msieve v. 1.53 (SVN unknown)
Total time: 33.05 hours.
Factorization parameters were as follows:
n: 478118622087711738511636166957068503893502792540250122110330821472658740040142604587674155265245336785271473
type: gnfs
skew: 50388391.79
Y0: -315917956917526761677748547
Y1: 73724761487905
c0: 76743685851937833138640476280584
c1: 1337254064487844398765350
c2: -271344664231620811
c3: -1338605346
c4: 48
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, 7250001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 449025 x 449252
Total sieving time: 32.88 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,107,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 33.05 hours.

56056272921305384966958324258835087207191766683920220449429849196178666212234883634186638718765260520349630276806248037246898041473315453002571922290447598325680781770647591528388339<182>

407335751924989197536537863095902439379<39>
137616874179087862465961512339763747191725783010520108133352762612906512773132804346215459260328931272267691488669567936883551208314843981062241<144>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3476326912
Step 1 took 33476ms
Step 2 took 11636ms
********** Factor found in step 2: 407335751924989197536537863095902439379
Found probable prime factor of 39 digits: 407335751924989197536537863095902439379

173319197228374458586913596980405610816890012449041609445113717512998703372116065564104342320472198391248196920286780707639989345744589041<138>

1232449586749178606231971510912508953<37>
113962613007990367575269430012170429358541958081<48>
1233999849772612864563794650723622175485009816390277337<55>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2024149181
Step 1 took 5335ms
Step 2 took 4165ms
********** Factor found in step 2: 1232449586749178606231971510912508953
Found probable prime factor of 37 digits: 1232449586749178606231971510912508953
Composite cofactor 140629847331554530270615577142467278323325138538569818812869117093259011091817232052343896698618310297 has 102 digits

N = 140629847331554530270615577142467278323325138538569818812869117093259011091817232052343896698618310297 (102 digits)
Divisors found:
r1=113962613007990367575269430012170429358541958081 (pp48)
r2=1233999849772612864563794650723622175485009816390277337 (pp55)
Version: Msieve v. 1.48
Total time: 2.04 hours.
Factorization parameters were as follows:
n: 140629847331554530270615577142467278323325138538569818812869117093259011091817232052343896698618310297
Y0: -4247492570858949013510843
Y1: 97011865509503
c0: 6942931032416385990303096360
c1: -17414914592034971330016
c2: -25333506939235978
c3: 2755295799
c4: 432
skew: 4034778.70
type: gnfs
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Sieved algebraic special-q in [0, 0)
Total raw relations: 5157074
Relations: 407644 relations
Pruned matrix : 242963 x 243188
Polynomial selection time: 0.00 hours.
Total sieving time: 1.93 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.07 hours.
time per square root: 0.02 hours.
Prototype def-par.txt line would be: gnfs,101,4,59,2000,0.0009,0.35,200,15,15000,2000,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 2.04 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

GMP-ECM 6.3

10614005056016225533796308698928198913582067079776363083751410010237491831667548492370200975504535382190485696373546999267992807793387093972399152025764110822176726044231738060119964553783557820541654839337251882841337<218>

1724137931034482758620689655172413793103448275862068965517241379310344827586206896551724137931034482758620689655172413793103448275862068965517241379310344827586206896551724137931034482758620689655172413793103448275862068965517241379<232>

3314479655559993251920284699461<31>

520183591455227519761651388175288775893625924297802900130241627825354871757624575754686822648647062195672098853547383562113735105738671814752497992225613787665261329007094432579338966664798250167098439<201>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2155262415
Step 1 took 16458ms
Step 2 took 8580ms
********** Factor found in step 2: 3314479655559993251920284699461
Found probable prime factor of 31 digits: 3314479655559993251920284699461
Composite cofactor 520183591455227519761651388175288775893625924297802900130241627825354871757624575754686822648647062195672098853547383562113735105738671814752497992225613787665261329007094432579338966664798250167098439 has 201 digits

GMP-ECM 6.3

520183591455227519761651388175288775893625924297802900130241627825354871757624575754686822648647062195672098853547383562113735105738671814752497992225613787665261329007094432579338966664798250167098439<201>

277113702649196393504243705628575071669<39>

1877148572886480496630622396615270196560801969561583666624859532780322749559604814103234997521774997746378594843755749779344199236840109919255490826638689299304331<163>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2051468764
Step 1 took 39251ms
Step 2 took 13160ms
********** Factor found in step 2: 277113702649196393504243705628575071669
Found probable prime factor of 39 digits: 277113702649196393504243705628575071669

1867733530727717911495805507705604140597828907617433781042829276911400496424890587550916729786923641478563180220950453000426648633717476868941363951981364114379981175847751044703225286490789366756699717646721434560407289<220>

6078061649247541192795935821420045495268857342738586815728548286866634612867976877366054076709279568558367374354794219027380001685595984512796227618710343730988436109152443738349370119120096018873480611<202>

7013814453128966028986429848933289<34>
866584322962240366223956886391171421369346029904632400891906041773200619440444542740323091656381414646191591352008364740719215848386650720301625413783294016695567765099<168>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1191349640
Step 1 took 10935ms
Step 2 took 6599ms
********** Factor found in step 2: 7013814453128966028986429848933289
Found probable prime factor of 34 digits: 7013814453128966028986429848933289
Probable prime cofactor 866584322962240366223956886391171421369346029904632400891906041773200619440444542740323091656381414646191591352008364740719215848386650720301625413783294016695567765099 has 168 digits

GMP-ECM 6.3

600620923592548562763320696673519034663888825326511258253013488452800272589643937153232035307150230768589213681153374665959117600460885744973633828578158820607588823026493493447708022206939996748070145811336167601808018414499361<228>

248144362978055894821638721656649573049<39>

2420449597904680846280853366005023217858990744874698304486668044916874404625524254428038004274474295637247362937096709023883216852077787788628306467693502798705926733067364716243221523602089<190>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=81727846
Step 1 took 11373ms
Step 2 took 6099ms
********** Factor found in step 2: 248144362978055894821638721656649573049
Found probable prime factor of 39 digits: 248144362978055894821638721656649573049
Composite cofactor 2420449597904680846280853366005023217858990744874698304486668044916874404625524254428038004274474295637247362937096709023883216852077787788628306467693502798705926733067364716243221523602089 has 190 digits

GMP-ECM 6.3

161052104651146487355666605219888128344979961603863421784305454486309653413655035876968737232426305646132580733352394174170367217753471018803205602697726779682139931746528409606769779918274946321511482348515281224848491810054799<228>

545659245828853724352536404992360463312513039243416784684020691329818289138789913549388764965961347206752029028430165187856813000683443780162529972868951508035446822047584677733493150538293646734999<198>

4663403887166422769174841329<28>

117008789937859567923219107920260985472659742639060659982743486135605070068937269407914558148543676016228583780659219493614533218571945859622909499784155220658983396372231<171>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3265132218
Step 1 took 12075ms
Step 2 took 7051ms
********** Factor found in step 2: 4663403887166422769174841329
Found probable prime factor of 28 digits: 4663403887166422769174841329
Composite cofactor 117008789937859567923219107920260985472659742639060659982743486135605070068937269407914558148543676016228583780659219493614533218571945859622909499784155220658983396372231 has 171 digits

GMP-ECM 6.3

6209256643069463065832637658567804902473875887664463494085068331068672552950895199085967617708288303286719739998057992892313594731530184245906333338702270577374062397589954028774961972339078017533872767885555750264045534118207382143<232>

7180185993393040627484018978791<31>

864776573863547094135536138065181720412177705953631448108629608996403755555007725894791828128274943171237978340412277753787340968831881968568870035379408525496907173719554480615362836752729738042754473<201>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1107527957
Step 1 took 13432ms
Step 2 took 6926ms
********** Factor found in step 2: 7180185993393040627484018978791
Found probable prime factor of 31 digits: 7180185993393040627484018978791
Composite cofactor 864776573863547094135536138065181720412177705953631448108629608996403755555007725894791828128274943171237978340412277753787340968831881968568870035379408525496907173719554480615362836752729738042754473 has 201 digits

GMP-ECM 6.3

14794471938981704351450955505068780167513909857611661655750852211247430837871855120393584335166609767764154234478515203613770583074275723089038392047825235568251480702366864104893581979383867452776398140908551<209>

2181472040859007101851921199097633501737760418881017744630839702970992206236945720150025660477313617610798188960090238645946606335063425441041394798294069715721546400504612339661945969404877861567864514779525913637159<217>

1007002463742479211055963640699792743244521004078686363192654365034571434648914223907255493252639152960576000023973692704962869757234861234947313525264396306700418877166054023913608913671056615647659962742939422701799<217>

24806366952763086094631450743368549135331841061962716729896923725566542773233447888049539383740033220991026389724109933150620530516919175449232402795565788707507899023207023986543877743136316480519821955324339243990439276607<224>

728172863324056581391882604327<30>

34066590781100810050966838221876781450544264096138340899981309389882829172230778018650979025365568735172677357210229344926798984511487699204872143857546869078064787372560275905699450889762489641<194>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4274702915
Step 1 took 11481ms
Step 2 took 6599ms
********** Factor found in step 2: 728172863324056581391882604327
Found probable prime factor of 30 digits: 728172863324056581391882604327
Composite cofactor 34066590781100810050966838221876781450544264096138340899981309389882829172230778018650979025365568735172677357210229344926798984511487699204872143857546869078064787372560275905699450889762489641 has 194 digits

GMP-ECM 6.3

49999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991<245>

18092311085010007397019439362300305549<38>

2763604923940668772130017142350081438595441911655789707491226882227017518192053820372669804439577170090764624697875244079842359817999532803064425867243084978227362559701137753418270662197513119397939903597459<208>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1538564130
Step 1 took 52252ms
********** Factor found in step 1: 18092311085010007397019439362300305549
Found probable prime factor of 38 digits: 18092311085010007397019439362300305549

1763815845694559393251471373107374335358626640076486802733191555939711355916392525141275234499193973800705616774414885506415247644999344000708049465543306563127695537499319670384472796590616518519<196>

690724762602303343413258213302280640350540049226169109016881240307400963544410806707232821525274834679772615569869662202669571234824498697954403073925087464165627448291107431246741876714864098018301466052081782587310043205799<225>

7016868496852578339004775484424895056459816581725320351156275543153380653652998265148397464332547326474999058966674683951904488565662801449983752282541653850023138722750298404274862808919458269210285887417279972581607913474559192143<232>

7205625704529587664236512023079<31>
973804189196456165664928885362812239437360254461429470054450792428846812905563515248931083502330265127514799712653773895016256595204314117661304124175755820578861750681525774609325562668939827557496217<201>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1978561176
Step 1 took 13479ms
********** Factor found in step 1: 7205625704529587664236512023079
Found probable prime factor of 31 digits: 7205625704529587664236512023079
Probable prime cofactor 973804189196456165664928885362812239437360254461429470054450792428846812905563515248931083502330265127514799712653773895016256595204314117661304124175755820578861750681525774609325562668939827557496217 has 201 digits

GMP-ECM 6.3

3195426477595973612524279216840522261444905523821594008059958918149227293847442993861904064549611539899506843805011074075401548925721705248394743317016361852141936489352149251302317439386162102486500389623809148056276571<220>

85918705488258504143195334569844705874466678499755975478665937433793247383825124764304905904703206612985631149312082039237727811018791534646786716859522615304435633262714386225941831605791659272624748427589488769868617832440013951<230>

63291139240506329113924050632911392405063291139240506329113924050632911392405063291139240506329113924050632911392405063291139240506329113924050632911392405063291139240506329113924050632911392405063291139240506329113924050632911392405063291139240506329<251>

182115742462644890752345048841840399256825959335659214870654382865370421283523790544556954947877721162122158729611226401167108224085645293871575255108565969466126588387561191288106755694969<189>

3464852321581827179502243214491197370068962662227326114641429002813167131283147443454061180559811756007625280596281857760324746081193676459735780226469231779648364193772452989168396176145657605779663234975515364361<214>

12448949964228718782740274907637532932827903666019892064844675234710099216500898978467155181656518795219727457986597957770559045915574007395815849383172111781985025906186478173720355293630019413842760091800033461<212>

1427629560906289008288830924493736075099156382978103945586707369979068251696971658377648196282480484714901620239604061525091812414440547991877955149455042497793896176202323087789803263191284319790542632173729499071<214>

83965364471605933507257292596951200641888176961317447079865595754266288112168044092886639983917673239303739628387269818177786228968519407363879023054028349577176225243051281113474316622412564355428516157315040396734116780093120277241804161<239>

298717147162481235953737699514747164918185730216367629487582569409707104809209244668985918475278945576608819216884477522160101605849429497013670685503017783578309336970597874710519584574238998520615107914403641199980176829201<225>

602850615814210695264393421448810003660212576730702290398533324896400846353225527750931123351963994577039054115236515111035236185638929953244807507009023627796520755098990455607628199677995765762563326602415018424794013139421370878243223<237>

1950950210896902696444915487855195535538715725817674241358574859923922615269420353768546315358596476876549824683086808953722238604346135211937033<145>

2388307036157731379512323383577716367902119012486917338028015425736167<70>
816875795850586670664221667787020898958501559574447404665882336414226419599<75>

PID21465 2020-03-31 17:00:30,398 Debug:root: Root parameter dictionary:
N = 1950950210896902696444915487855195535538715725817674241358574859923922615269420353768546315358596476876549824683086808953722238604346135211937033
name = 49991_267
tasks.I = 14
tasks.lim0 = 13000000
tasks.lim1 = 20000000
tasks.lpb0 = 30
tasks.lpb1 = 31
tasks.qmin = 100000
tasks.threads = 6
tasks.wutimeout = 1800
tasks.filter.required_excess = 0.05
tasks.filter.target_density = 135.0
tasks.filter.purge.keep = 175
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.bwc.interleaving = 0
tasks.linalg.bwc.threads = 6
tasks.linalg.characters.nchar = 50
tasks.polyselect.P = 300000
tasks.polyselect.admax = 20e4
tasks.polyselect.admin = 12600
tasks.polyselect.adrange = 840
tasks.polyselect.degree = 5
tasks.polyselect.incr = 60
tasks.polyselect.nq = 15625
tasks.polyselect.nrkeep = 100
tasks.polyselect.threads = 2
tasks.sieve.lambda0 = 1.81
tasks.sieve.lambda1 = 1.79
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 58
tasks.sieve.ncurves0 = 19
tasks.sieve.ncurves1 = 22
tasks.sieve.qrange = 5000
tasks.sieve.rels_wanted = 85000000
tasks.sieve.las.threads = 2
tasks.sqrt.threads = 2
PID21465 2020-03-31 17:18:10,128 Info:Polynomial Selection (root optimized): Best polynomial is:
n: 1950950210896902696444915487855195535538715725817674241358574859923922615269420353768546315358596476876549824683086808953722238604346135211937033
skew: 956688.998
c0: -26272168210633332824410607728447560
c1: 83633167715037809751131633026
c2: 64835625167139853462746
c3: -241503217743576649
c4: -99378806874
c5: 43560
Y0: -10616234470833387417431876731
Y1: 16758836435015506631
# MurphyE (Bf=2.147e+09,Bg=1.074e+09,area=1.342e+13) = 3.057e-06
PID21465 2020-03-31 21:50:08,454 Info:Square Root: Factors: 816875795850586670664221667787020898958501559574447404665882336414226419599 2388307036157731379512323383577716367902119012486917338028015425736167
PID21465 2020-03-31 21:50:08,454 Debug:Square Root: Exit SqrtTask.run(sqrt)
PID21465 2020-03-31 21:50:08,454 Info:Polynomial Selection (size optimized): Aggregate statistics:
PID21465 2020-03-31 21:50:08,454 Info:Polynomial Selection (size optimized): potential collisions: 144726
PID21465 2020-03-31 21:50:08,455 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 147136/42.340/52.540/61.540/1.205
PID21465 2020-03-31 21:50:08,455 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 122139/41.960/46.450/52.880/0.984
PID21465 2020-03-31 21:50:08,455 Info:Polynomial Selection (size optimized): Total time: 63374.9
PID21465 2020-03-31 21:50:08,455 Info:Polynomial Selection (root optimized): Aggregate statistics:
PID21465 2020-03-31 21:50:08,455 Info:Polynomial Selection (root optimized): Total time: 2237.3
PID21465 2020-03-31 21:50:08,455 Info:Polynomial Selection (root optimized): Rootsieve time: 2235.77
PID21465 2020-03-31 21:50:08,455 Info:Generate Factor Base: Total cpu/real time for makefb: 14.37/2.73112
PID21465 2020-03-31 21:50:08,456 Info:Generate Free Relations: Total cpu/real time for freerel: 1340.68/226.573
PID21465 2020-03-31 21:50:08,456 Info:Lattice Sieving: Aggregate statistics:
PID21465 2020-03-31 21:50:08,456 Info:Lattice Sieving: Total number of relations: 93040339
PID21465 2020-03-31 21:50:08,456 Info:Lattice Sieving: Average J: 8090.93 for 437232 special-q, max bucket fill -bkmult 1.0,1s:1.084850
PID21465 2020-03-31 21:50:08,456 Info:Lattice Sieving: Total time: 432389s
PID21465 2020-03-31 21:50:08,456 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 270.41/250.842
PID21465 2020-03-31 21:50:08,457 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
PID21465 2020-03-31 21:50:08,457 Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 250.4s
PID21465 2020-03-31 21:50:08,457 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1047.2/393.524
PID21465 2020-03-31 21:50:08,457 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
PID21465 2020-03-31 21:50:08,457 Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 302.9s
PID21465 2020-03-31 21:50:08,457 Info:Filtering - Singleton removal: Total cpu/real time for purge: 419.04/259.704
PID21465 2020-03-31 21:50:08,458 Info:Filtering - Merging: Total cpu/real time for merge: 150.03/33.9429
PID21465 2020-03-31 21:50:08,458 Info:Filtering - Merging: Total cpu/real time for replay: 53.84/55.1572
PID21465 2020-03-31 21:50:08,458 Info:Linear Algebra: Total cpu/real time for bwc: 41408.5/7261.12
PID21465 2020-03-31 21:50:08,458 Info:Linear Algebra: Aggregate statistics:
PID21465 2020-03-31 21:50:08,458 Info:Linear Algebra: Krylov: WCT time 4648.23, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (67072 iterations)
PID21465 2020-03-31 21:50:08,458 Info:Linear Algebra: Lingen CPU time 260.46, WCT time 48.96
PID21465 2020-03-31 21:50:08,459 Info:Linear Algebra: Mksol: WCT time 2446.11, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (32768 iterations)
PID21465 2020-03-31 21:50:08,459 Info:Quadratic Characters: Total cpu/real time for characters: 69.87/21.3777
PID21465 2020-03-31 21:50:08,459 Info:Square Root: Total cpu/real time for sqrt: 574.05/127.579
PID21465 2020-03-31 21:50:08,459 Info:HTTP server: Shutting down HTTP server
PID21465 2020-03-31 21:50:08,559 Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.00362e+06/17376.7

CADO-NFS

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7265594949577486529511758283153501973838316961364666404986681069311734724450638519469415059904355733666808459448691602475741335690011684105651804852842274760676373013203688343632150153735114290399378956571461708708083553461506586563594948221000321<247>

121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951<276>

1270349167570653780439793762650686595623269846655046376553794999227217134234418363148536777384779822663045244286450390111285646568132148064898321852832048893333581883069032217442610748757649998581639398410803472607557617053918605234713247193<241>

26906105621361195422399072582179262992833469087390411115931909150803579387754576283524176522312276958389674655342655919900144989048190737067648068309621840291721750473402687938633936857537548420780534125966172827367282375434750881<230>

1773050858270490111505071937294496743083299571810511385545623029799837682291432355304189158705280649246161062251596234050407707803223003448518161806531880278236288699227068061429809<181>

1021825034148431861566721960240338977591875990353933526697582258226286691274754761417396162569541574284356019276853917068306682674027564527010149345898371367414820715188939893410938757952804561622583882338848939476999454725762542643182911735471044999628297486012918979<268>

99698909165416688003352891663930370453085634083270117991423963779772193968237155231559257121664106086886638373804066212827614659027051573995355434473062246402202394504633625106920990331275190401<194>

499999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991<285>

15114056330012724052105590302677734707140271<44>

33081787515051498131601340802880334963651422818040294633680980580709942102864764184766809014307813996925257480709795679000794379055520062854263994693918879774373970460573159606079900874640492797863062783138717891449392301169044286619937963321<242>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:4224871630
Step 1 took 80545ms
********** Factor found in step 1: 15114056330012724052105590302677734707140271
Found prime factor of 44 digits: 15114056330012724052105590302677734707140271

519665710342777310861561708552363955904881287872519389308705412324114238502112953508219131565052770048853882110423328882737758761473931116924112707433047816501477631893152579356669210238491252522499234494604687328138206009254894631<231>