111115940686104503581856079641429811828289504979952561192074352342782581339735770340843425627146405295941295416701187016275354222042833472837412651511<150>

258041949489809142594628345727012558270007587714629<51>
430611925331515945278355234075202645116773258228763345695469212454697948997089854505386842086459659<99>

Number: n
N=111115940686104503581856079641429811828289504979952561192074352342782581339735770340843425627146405295941295416701187016275354222042833472837412651511
  ( 150 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=258041949489809142594628345727012558270007587714629 (pp51)
 r2=430611925331515945278355234075202645116773258228763345695469212454697948997089854505386842086459659 (pp99)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 44.65 hours.
Scaled time: 18.48 units (timescale=0.414).
Factorization parameters were as follows:
name: KA_3_1_155_3
n: 111115940686104503581856079641429811828289504979952561192074352342782581339735770340843425627146405295941295416701187016275354222042833472837412651511
skew: 1.14
deg: 5
c5: 35
c0: 68
m: 20000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1300001)
Primes: RFBsize:216816, AFBsize:216351, largePrimes:6885946 encountered
Relations: rels:6345666, finalFF:487688
Max relations in full relation-set: 48
Initial matrix: 433234 x 487688 with sparse part having weight 35977625.
Pruned matrix : 388722 x 390952 with weight 23183672.
Total sieving time: 37.04 hours.
Total relation processing time: 0.38 hours.
Matrix solve time: 6.68 hours.
Total square root time: 0.55 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 44.65 hours.
 --------- CPU info (if available) ----------
CPU: AMD Athlon(tm) XP 2100+ stepping 02
Memory: 904260k/917504k available (1815k kernel code, 12496k reserved, 846k data, 272k init, 0k highmem)
Calibrating delay loop... 3440.64 BogoMIPS

307255804862118138238800959977993782051356232749794701698253135356472234511279752884270077185205828579676440295689321401915567074990617204373<141>

40211844589201070870193753925177566929720034091471<50>
7640927890799418264376357335504587466320927492331080493247053896348840184348910650404572763<91>

Number: n
N=307255804862118138238800959977993782051356232749794701698253135356472234511279752884270077185205828579676440295689321401915567074990617204373
  ( 141 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=40211844589201070870193753925177566929720034091471 (pp50)
 r2=7640927890799418264376357335504587466320927492331080493247053896348840184348910650404572763 (pp91)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 43.45 hours.
Scaled time: 59.31 units (timescale=1.365).
Factorization parameters were as follows:
name: KA_3_1_159_3
n: 307255804862118138238800959977993782051356232749794701698253135356472234511279752884270077185205828579676440295689321401915567074990617204373
skew: 0.91
deg: 5
c5: 28
c0: 17
m: 100000000000000000000000000000000
type: snfs
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1700001)
Primes: RFBsize:250150, AFBsize:251161, largePrimes:7385460 encountered
Relations: rels:7003197, finalFF:646856
Max relations in full relation-set: 28
Initial matrix: 501377 x 646856 with sparse part having weight 41926338.
Pruned matrix : 377245 x 379815 with weight 22916317.
Total sieving time: 40.00 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 2.85 hours.
Total square root time: 0.33 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000
total time: 43.45 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

291518138880813831877316139677912045506082513260025572748734915030214053671271873482644565087545343430540161717571420952814494855357103004720427<144>

568254104215421080733918790780653788490645701320935561<54>
513006657969163357232705769402175646798527021065255936378677850134407454699737691808031507<90>

Number: n
N=291518138880813831877316139677912045506082513260025572748734915030214053671271873482644565087545343430540161717571420952814494855357103004720427
  ( 144 digits)
SNFS difficulty: 164 digits.
Divisors found:

Sun Dec 30 22:22:57 2007  prp54 factor: 568254104215421080733918790780653788490645701320935561
Sun Dec 30 22:22:57 2007  prp90 factor: 513006657969163357232705769402175646798527021065255936378677850134407454699737691808031507
Sun Dec 30 22:22:57 2007  elapsed time 00:55:31 (Msieve 1.32)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 35.78 hours.
Scaled time: 54.81 units (timescale=1.532).
Factorization parameters were as follows:
name: KA_3_1_162_3
n: 291518138880813831877316139677912045506082513260025572748734915030214053671271873482644565087545343430540161717571420952814494855357103004720427
skew: 0.45
deg: 5
c5: 875
c0: 17
m: 200000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
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, 2600000)
Primes: RFBsize:216816, AFBsize:216531, largePrimes:7351213 encountered
Relations: rels:6806772, finalFF:496921
Max relations in full relation-set: 28
Initial matrix: 433413 x 496921 with sparse part having weight 48938966.
Pruned matrix : 
Total sieving time: 35.60 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,164,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 35.78 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

1115593067662898790171686067498646173165674841826773356441625178656358036004023398349904552039910431301688035593665371974373732618432189689<139>

15690324817273401715948623986515369<35>
71100699358036734069101432325185455650755867126782812613471077612512751318328514905837455085857243459281<104>

GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 1115593067662898790171686067498646173165674841826773356441625178656358036004023398349904552039910431301688035593665371974373732618432189689 (139 digits)
Using B1=2196000, B2=2575218153, polynomial Dickson(6), sigma=2166249230
Step 1 took 29200ms
Step 2 took 13327ms
********** Factor found in step 2: 15690324817273401715948623986515369
Found probable prime factor of 35 digits: 15690324817273401715948623986515369
Probable prime cofactor 71100699358036734069101432325185455650755867126782812613471077612512751318328514905837455085857243459281 has 104 digits

2137394445997761510395890241674344962098210020617491226246533753230837511777526481868931497067228733273481388043052545928179953300519<133>

54444563831060370474725702212332871377604421032494991959961<59>
39258179248712943472377998594789236506615356188918297471633268441459167679<74>

Number: 31113_167
N=2137394445997761510395890241674344962098210020617491226246533753230837511777526481868931497067228733273481388043

052545928179953300519
  ( 133 digits)
SNFS difficulty: 168 digits.
Divisors found:
 r1=54444563831060370474725702212332871377604421032494991959961 (pp59)
 r2=39258179248712943472377998594789236506615356188918297471633268441459167679 (pp74)
Version: Msieve v. 1.41
Total time: 82.07 hours.
Scaled time: 64.51 units (timescale=0.786).
Factorization parameters were as follows:
n: 

213739444599776151039589024167434496209821002061749122624653375323083751177752648186893149706722873327348138804305

2545928179953300519
m: 2000000000000000000000000000000000
deg: 5
c5: 175
c0: 34
skew: 0.72
type: snfs
lss: 1
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2250000, 4250001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 797429 x 797677
Total sieving time: 76.93 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 3.93 hours.
Time per square root: 0.95 hours.
Prototype def-par.txt line would be:
snfs,168.000,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,52,52,2.4,2.4,100000
total time: 82.07 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

160032870640155162550188298305797990544533418321959766573500508174037736228648792769050260989051569394837206366583950880158878277647558739735213553585491990443<159>

2415206321322037173599420711140338010790023979<46>
66260538169077111369916032292205300925953034481165074616471999679785377784367854169703990146660279900274172153217<113>

Number: n
N=160032870640155162550188298305797990544533418321959766573500508174037736228648792769050260989051569394837206366583950880158878277647558739735213553585491990443
  ( 159 digits)
SNFS difficulty: 171 digits.
Divisors found:

Sun Jul 20 15:32:22 2008  prp46 factor: 2415206321322037173599420711140338010790023979
Sun Jul 20 15:32:22 2008  prp113 factor: 66260538169077111369916032292205300925953034481165074616471999679785377784367854169703990146660279900274172153217
Sun Jul 20 15:32:22 2008  elapsed time 03:30:08 (Msieve 1.36)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 63.65 hours.
Scaled time: 111.13 units (timescale=1.746).
Factorization parameters were as follows:
name: KA_3_1_168_3
n: 160032870640155162550188298305797990544533418321959766573500508174037736228648792769050260989051569394837206366583950880158878277647558739735213553585491990443
type: snfs
skew: 1.43
deg: 5
c5: 14
c0: 85
m: 10000000000000000000000000000000000
rlim: 6200000
alim: 6200000
lpbr: 28
lpba: 28
mfbr: 50
mfba: 50
qintsize: 100000
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 50/50
Sieved  special-q in [100000, 2300001)
Primes: RFBsize:425648, AFBsize:425672, largePrimes:10044587 encountered
Relations: rels:9775401, finalFF:976677
Max relations in full relation-set: 28
Initial matrix: 851386 x 976677 with sparse part having weight 58701082.
Pruned matrix : 
Total sieving time: 63.27 hours.
Total relation processing time: 0.38 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,50,50,2.6,2.6,100000
total time: 63.65 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113<171>

1364116464566141004805456799576331094877<40>

228067851383980179396737331050460171350301360191884615279312516244379676595735991540084639749089760281280334949498526496536231019869<132>

P1: 1364116464566141004805456799576331094877 (P40)

(C2) 228067851383980179396737331050460171350301360191884615279312516244379676595735991540084639749089760281280334949498526496536231019869 (C132)

B1: 250000
Sigma: 3243053510

228067851383980179396737331050460171350301360191884615279312516244379676595735991540084639749089760281280334949498526496536231019869<132>

23585939755509836363182840530964787<35>
9669652926621334818015115351221646782123712466665679277267133617240759474730728542857515285098287<97>

GMP-ECM 6.1.3 [powered by GMP 4.2.1] [ECM]
Input number is 228067851383980179396737331050460171350301360191884615279312516244379676595735991540084639749089760281280334949498526496536231019869 (132 digits)
Using B1=3240000, B2=5707206970, polynomial Dickson(6), sigma=3549645932
Step 1 took 31883ms
Step 2 took 12406ms
********** Factor found in step 2: 23585939755509836363182840530964787
Found probable prime factor of 35 digits: 23585939755509836363182840530964787
Probable prime cofactor 9669652926621334818015115351221646782123712466665679277267133617240759474730728542857515285098287 has 97 digits

2866361606527503605563297353905541236033510681295648476018642104178379631110555703092822656583268648142330190069747953579266693321295433968835134582527<151>

568989076397229877436168709083<30>
5037639078551312735260150274259076408128833763875038399879050906215408406462219863760359907480071781960561895317179882669<121>

Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=3387344901
Step 1 took 16665ms
Step 2 took 13201ms
********** Factor found in step 2: 568989076397229877436168709083
Found probable prime factor of 30 digits: 568989076397229877436168709083
Probable prime cofactor 5037639078551312735260150274259076408128833763875038399879050906215408406462219863760359907480071781960561895317179882669 has 121 digits

GMP-ECM 6.2.1

46101274398686796395145116705945897503380259194999576764949582680576190245472583381237462731703768888820725235109894584269190213983234068078151114455375840803<158>

656308134447273553731722649881208685936547<42>
70243338424430998735831301108946710671548210341232684124120122583955566331076888552452589222296405941484107100850049<116>

Number: 31113_172
N=46101274398686796395145116705945897503380259194999576764949582680576190245472583381237462731703768888820725235109894584269190213983234068078151114455375840803
  ( 158 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=656308134447273553731722649881208685936547 (pp42)
 r2=70243338424430998735831301108946710671548210341232684124120122583955566331076888552452589222296405941484107100850049 (pp116)
Version: Msieve-1.40
Total time: 88.32 hours.
Scaled time: 175.85 units (timescale=1.991).
Factorization parameters were as follows:
name: 31113_172
n: 46101274398686796395145116705945897503380259194999576764949582680576190245472583381237462731703768888820725235109894584269190213983234068078151114455375840803
m: 10000000000000000000000000000000000
deg: 5
c5: 2800
c0: 17
skew: 0.36
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2700000, 5800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 962979 x 963227
Total sieving time: 85.45 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 2.37 hours.
Time per square root: 0.35 hours.
Prototype def-par.txt line would be:
snfs,173.000,5,0,0,0,0,0,0,0,0,5400000,5400000,27,27,52,52,2.4,2.4,100000
total time: 88.32 hours.
 --------- CPU info (if available) ----------

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

149604365113650603607965396783820036549828232477670335114720910725236080672725657263024449428908972191536406723626986929773561521485812404138305132999882672708923<162>

681751070287647209743274083828040789893152688200448335967071591564953119356287<78>
219441335164356860995611685787514784889579676815817325824086982038749252775763381829<84>

Number: n
N=149604365113650603607965396783820036549828232477670335114720910725236080672725657263024449428908972191536406723626986929773561521485812404138305132999882672708923
  ( 162 digits)
SNFS difficulty: 178 digits.
Divisors found:

Thu Jan 12 13:11:32 2012  prp78 factor: 681751070287647209743274083828040789893152688200448335967071591564953119356287
Thu Jan 12 13:11:32 2012  prp84 factor: 219441335164356860995611685787514784889579676815817325824086982038749252775763381829
Thu Jan 12 13:11:32 2012  elapsed time 02:17:35 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.648).
Factorization parameters were as follows:
name: KA_31113_177
n: 149604365113650603607965396783820036549828232477670335114720910725236080672725657263024449428908972191536406723626986929773561521485812404138305132999882672708923
m: 100000000000000000000000000000000000
deg: 5
c5: 2800
c0: 17
skew: 0.36
type: snfs
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 9000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 6672064 hash collisions in 75000098 relations
Msieve: matrix is 1077081 x 1077329 (298.4 MB)

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

6433482611780287954108672667925266288940897395108745860563374947366039140662732284573284166509491698312966221624060707736659803496117372437<139>

11182443451504153006238103762416827405255874585670716636509<59>
575319932506783099187493938399405978019705820294622827693918577371077013675091993<81>

N=6433482611780287954108672667925266288940897395108745860563374947366039140662732284573284166509491698312966221624060707736659803496117372437
  ( 139 digits)
SNFS difficulty: 179 digits.
Divisors found:
 r1=11182443451504153006238103762416827405255874585670716636509 (pp59)
 r2=575319932506783099187493938399405978019705820294622827693918577371077013675091993 (pp81)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 85.22 hours.
Scaled time: 163.96 units (timescale=1.924).
Factorization parameters were as follows:
n: 6433482611780287954108672667925266288940897395108745860563374947366039140662732284573284166509491698312966221624060707736659803496117372437
m: 200000000000000000000000000000000000
deg: 5
c5: 875
c0: 17
skew: 0.45
# Murphy_E = 1.153e-10
type: snfs
lss: 1
rlim: 6900000
alim: 6900000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 6900000/6900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3450000, 7850001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1359666 x 1359899
Total sieving time: 83.06 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 1.78 hours.
Time per square root: 0.18 hours.
Prototype def-par.txt line would be:
snfs,179.000,5,0,0,0,0,0,0,0,0,6900000,6900000,28,28,53,53,2.5,2.5,100000
total time: 85.22 hours.
 --------- CPU info (if available) ----------

9375557302513431815630970449348206422211753828874289268809328581919364547673623546238306381679141692496583982200853740922140347453454952326769350333132412553903<160>

13713631976482960024706341997532270350016074108775129977007078269<65>
683666975939798838017189552334832783615479233067718830417921698006940576589263224302233908690587<96>

Number: 31113
N = 9375557302513431815630970449348206422211753828874289268809328581919364547673623546238306381679141692496583982200853740922140347453454952326769350333132412553903 (160 digits)
SNFS difficulty: 182 digits.
Divisors found:
r1=13713631976482960024706341997532270350016074108775129977007078269 (pp65)
r2=683666975939798838017189552334832783615479233067718830417921698006940576589263224302233908690587 (pp96)
Version: Msieve v. 1.50 (SVN Official Release)
Total time: 39.74 hours.
Factorization parameters were as follows:
n: 9375557302513431815630970449348206422211753828874289268809328581919364547673623546238306381679141692496583982200853740922140347453454952326769350333132412553903
m: 1000000000000000000000000000000000000
deg: 5
skew: 0.9
type: snfs
c5: 28
c0: 17
rlim: 3713200
alim: 3713200
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5 
Factor base limits: 3713200/3713200
Large primes per side: 3
Large prime bits: 27/27
Sieved rational special-q in [0, 0)
Total raw relations: 15890218
Relations: 1257730 relations
Pruned matrix : 892895 x 893123
Polynomial selection time: 0.00 hours.
Total sieving time: 39.14 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.52 hours.
time per square root: 0.02 hours.
Prototype def-par.txt line would be: snfs,182,5,0,0,0,0,0,0,0,0,3713200,3713200,27,27,53,53,2.5,2.5,100000
total time: 39.74 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.39GHz

43288389980581414178486126121036430595851327260445355724270175627308348544689713834623977005583166572892356391420406422486321483760118922036190648707969<152>

487786121583417478031377245240619<33>
23713943396205054814260936625106267<35>
74651041133013577781884111541307929<35>
50130535731281299048808262966371781007594617903457<50>

Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=80191738
Step 1 took 14481ms
Step 2 took 12853ms
********** Factor found in step 2: 23713943396205054814260936625106267
Found probable prime factor of 35 digits: 23713943396205054814260936625106267

Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=392881417
Step 1 took 15425ms
Step 2 took 12941ms
********** Factor found in step 2: 487786121583417478031377245240619
Found probable prime factor of 33 digits: 487786121583417478031377245240619

Wed Oct 29 19:41:35 2008  Msieve v. 1.36
Wed Oct 29 19:41:35 2008  random seeds: 6270e78e 23782657
Wed Oct 29 19:41:35 2008  factoring 
3742296684895887151566152410872755963617683239627020475047963724780736160593630610553 (85 digits)
Wed Oct 29 19:41:35 2008  no P-1/P+1/ECM available, skipping
Wed Oct 29 19:41:35 2008  commencing quadratic sieve (85-digit input)
Wed Oct 29 19:41:35 2008  using multiplier of 3
Wed Oct 29 19:41:35 2008  using 64kb Opteron sieve core
Wed Oct 29 19:41:35 2008  sieve interval: 6 blocks of size 65536
Wed Oct 29 19:41:35 2008  processing polynomials in batches of 17
Wed Oct 29 19:41:35 2008  using a sieve bound of 1426129 (54330 primes)
Wed Oct 29 19:41:35 2008  using large prime bound of 116942578 (26 bits)
Wed Oct 29 19:41:35 2008  using double large prime bound of 332928269126164 (41-49 bits)
Wed Oct 29 19:41:35 2008  using trial factoring cutoff of 49 bits
Wed Oct 29 19:41:35 2008  polynomial 'A' values have 11 factors
Wed Oct 29 20:07:14 2008  54749 relations (16077 full + 38672 combined from 569767 partial), need 
54426
Wed Oct 29 20:07:14 2008  begin with 585844 relations
Wed Oct 29 20:07:14 2008  reduce to 128305 relations in 9 passes
Wed Oct 29 20:07:14 2008  attempting to read 128305 relations
Wed Oct 29 20:07:15 2008  recovered 128305 relations
Wed Oct 29 20:07:15 2008  recovered 107033 polynomials
Wed Oct 29 20:07:15 2008  attempting to build 54749 cycles
Wed Oct 29 20:07:15 2008  found 54749 cycles in 6 passes
Wed Oct 29 20:07:15 2008  distribution of cycle lengths:
Wed Oct 29 20:07:15 2008     length 1 : 16077
Wed Oct 29 20:07:15 2008     length 2 : 11191
Wed Oct 29 20:07:15 2008     length 3 : 9634
Wed Oct 29 20:07:15 2008     length 4 : 7021
Wed Oct 29 20:07:15 2008     length 5 : 4652
Wed Oct 29 20:07:15 2008     length 6 : 2817
Wed Oct 29 20:07:15 2008     length 7 : 1583
Wed Oct 29 20:07:15 2008     length 9+: 1774
Wed Oct 29 20:07:15 2008  largest cycle: 17 relations
Wed Oct 29 20:07:15 2008  matrix is 54330 x 54749 (12.7 MB) with weight 2892970 (52.84/col)
Wed Oct 29 20:07:16 2008  sparse part has weight 2892970 (52.84/col)
Wed Oct 29 20:07:16 2008  filtering completed in 4 passes
Wed Oct 29 20:07:16 2008  matrix is 48985 x 49049 (11.5 MB) with weight 2610556 (53.22/col)
Wed Oct 29 20:07:16 2008  sparse part has weight 2610556 (53.22/col)
Wed Oct 29 20:07:16 2008  saving the first 48 matrix rows for later
Wed Oct 29 20:07:16 2008  matrix is 48937 x 49049 (6.8 MB) with weight 1947250 (39.70/col)
Wed Oct 29 20:07:16 2008  sparse part has weight 1294865 (26.40/col)
Wed Oct 29 20:07:16 2008  matrix includes 64 packed rows
Wed Oct 29 20:07:16 2008  using block size 19619 for processor cache size 1024 kB
Wed Oct 29 20:07:17 2008  commencing Lanczos iteration
Wed Oct 29 20:07:17 2008  memory use: 6.5 MB
Wed Oct 29 20:07:27 2008  lanczos halted after 775 iterations (dim = 48935)
Wed Oct 29 20:07:27 2008  recovered 18 nontrivial dependencies
Wed Oct 29 20:07:28 2008  prp35 factor: 74651041133013577781884111541307929
Wed Oct 29 20:07:28 2008  prp50 factor: 50130535731281299048808262966371781007594617903457
Wed Oct 29 20:07:28 2008  elapsed time 00:25:53

GMP-ECM 6.2.1

19934377879071471202011019909196488157801275710479560118335308296224598983857902571539729994689552927222071041324271478404016970790875155284354040047325067415396204268054247451<176>

318596750167073501239620129648997397<36>

62569307027199109868007432397095902344247066688744812777272962204808720942721613974016766077054625509402419481373054542472152053859324745583<140>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1940362137
Step 1 took 18314ms
Step 2 took 7029ms
********** Factor found in step 2: 318596750167073501239620129648997397
Found probable prime factor of 36 digits: 318596750167073501239620129648997397
Composite cofactor 62569307027199109868007432397095902344247066688744812777272962204808720942721613974016766077054625509402419481373054542472152053859324745583 has 140 digits

GMP-ECM 6.2.3

62569307027199109868007432397095902344247066688744812777272962204808720942721613974016766077054625509402419481373054542472152053859324745583<140>

359315319653219068477505762227573559992993<42>
174134815870321765089269300435399208577448951888935144037155210150067023526980844536294214171119631<99>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1380195168
Step 1 took 13355ms
Step 2 took 5659ms
********** Factor found in step 2: 359315319653219068477505762227573559992993
Found probable prime factor of 42 digits: 359315319653219068477505762227573559992993
Probable prime cofactor 174134815870321765089269300435399208577448951888935144037155210150067023526980844536294214171119631 has 99 digits

GMP-ECM 6.2.3

1152263374485596707818930041152263374485596707818930041152263374485596707818930041152263374485596707818930041152263374485596707818930041152263374485596707818930041152263374485596707819<184>

397173737675450362503394621695281766949091<42>
382277231274590218916165085392883779524628449879451093458519<60>
7589144149261590771957712617331762006980147309781393383050491171157371995675701711<82>

Number: n
N=1152263374485596707818930041152263374485596707818930041152263374485596707818930041152263374485596707818930041152263374485596707818930041152263374485596707818930041152263374485596707819
  ( 184 digits)
SNFS difficulty: 186 digits.
Divisors found:

Wed Apr 30 04:16:48 2008  prp42 factor: 397173737675450362503394621695281766949091
Wed Apr 30 04:16:48 2008  prp60 factor: 382277231274590218916165085392883779524628449879451093458519
Wed Apr 30 04:16:48 2008  prp82 factor: 7589144149261590771957712617331762006980147309781393383050491171157371995675701711
Wed Apr 30 04:16:48 2008  elapsed time 04:15:04 (Msieve 1.34)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 83.28 hours.
Scaled time: 108.02 units (timescale=1.297).
Factorization parameters were as follows:
name: KA_3_1_183_3
n: 1152263374485596707818930041152263374485596707818930041152263374485596707818930041152263374485596707818930041152263374485596707818930041152263374485596707818930041152263374485596707819
skew: 1.43
deg: 5
c5: 14
c0: 85
m: 10000000000000000000000000000000000000
type: snfs
rlim: 7000000
alim: 7000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 6100319)
Primes: RFBsize:476648, AFBsize:477009, largePrimes:9217175 encountered
Relations: rels:8915077, finalFF:1033124
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 82.91 hours.
Total relation processing time: 0.37 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,7000000,7000000,28,28,48,48,2.5,2.5,100000
total time: 83.28 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

64802066714608355666774319254759142911515243648266095705958921526222987458906950813766453246489961080980516645301030697272420784736056942199135607947<149>

84749511994357747589048064862127007115591139<44>
764630558803956231401939715184887467157461894249241728064801296708387711587916581661127571526366754793273<105>

Number: 3113
N=64802066714608355666774319254759142911515243648266095705958921526222987458906950813766453246489961080980516645301030697272420784736056942199135607947
  ( 149 digits)
SNFS difficulty: 187 digits.
Divisors found:
 r1=84749511994357747589048064862127007115591139 (pp44)
 r2=764630558803956231401939715184887467157461894249241728064801296708387711587916581661127571526366754793273 (pp105)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 173.68 hours.
Scaled time: 334.33 units (timescale=1.925).
Factorization parameters were as follows:
n: 64802066714608355666774319254759142911515243648266095705958921526222987458906950813766453246489961080980516645301030697272420784736056942199135607947
m: 10000000000000000000000000000000000000
deg: 5
c5: 280
c0: 17
skew: 0.57
# Murphy_E = 5.656e-11
type: snfs
lss: 1
rlim: 9300000
alim: 9300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 9300000/9300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4650000, 13050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1708636 x 1708861
Total sieving time: 170.39 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 2.94 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,187.000,5,0,0,0,0,0,0,0,0,9300000,9300000,28,28,54,54,2.5,2.5,100000
total time: 173.68 hours.
 --------- CPU info (if available) ----------

25321752391782765023998901867365282543977030457065610000233513897333516802689913965041808362752756695837722465839862305770742016443663278657671320090082079424663334667085337<173>

110851502370989537426408968545625609743043<42>
228429492160041398383538632095931478997697717966177563353300384295603547208717719778909121934331722213656817167098696781863102940659<132>

N=25321752391782765023998901867365282543977030457065610000233513897333516802689913965041808362752756695837722465839862305770742016443663278657671320090082079424663334667085337
  ( 173 digits)
SNFS difficulty: 188 digits.
Divisors found:
 r1=110851502370989537426408968545625609743043 (pp42)
 r2=228429492160041398383538632095931478997697717966177563353300384295603547208717719778909121934331722213656817167098696781863102940659 (pp132)
Version: Msieve v. 1.48
Total time:
Scaled time: 73.60 units (timescale=0.899).
Factorization parameters were as follows:
n: 25321752391782765023998901867365282543977030457065610000233513897333516802689913965041808362752756695837722465839862305770742016443663278657671320090082079424663334667085337
m: 10000000000000000000000000000000000000
deg: 5
c5: 2800
c0: 17
skew: 0.36
type: snfs
lss: 1
rlim: 9700000
alim: 9700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 500000
Factor base limits: 9700000/9700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4850000, 13350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1842827 x 1843052
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,188.000,5,0,0,0,0,0,0,0,0,9700000,9700000,28,28,54,54,2.5,2.5,100000
total time:

1013027491200059254427371006256012376981652513194812374782800215796093227548151552852922267434902706755037054887051962703487212792677480207245297<145>

974832567940136041044836905334577108476768477062218832818920374080931<69>
1039181008632724244062335631723898474439235862063872971935645299568025175387<76>

Number: 31113_189
N = 1013027491200059254427371006256012376981652513194812374782800215796093227548151552852922267434902706755037054887051962703487212792677480207245297 (145 digits)
SNFS difficulty: 192 digits.
Divisors found:
r1=974832567940136041044836905334577108476768477062218832818920374080931 (pp69)
r2=1039181008632724244062335631723898474439235862063872971935645299568025175387 (pp76)
Version: Msieve v. 1.53 (SVN 1005)
Total time: 91.44 hours.
Factorization parameters were as follows:
n: 1013027491200059254427371006256012376981652513194812374782800215796093227548151552852922267434902706755037054887051962703487212792677480207245297
m: 100000000000000000000000000000000000000
deg: 5
c5: 14
c0: 85
skew: 1.43
# Murphy_E = 5.093e-11
type: snfs
lss: 1
rlim: 10700000
alim: 10700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10700000/10700000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 22165784
Relations: 2619978 relations
Pruned matrix : 1653376 x 1653602
Total sieving time: 88.03 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 2.95 hours.
time per square root: 0.29 hours.
Prototype def-par.txt line would be: snfs,192,5,0,0,0,0,0,0,0,0,10700000,10700000,28,28,54,54,2.5,2.5,100000
total time: 91.44 hours.
Intel64 Family 6 Model 78 Stepping 3, GenuineIntel
processors: 4, speed: 2.40GHz
Windows-10-10.0.14393-SP0
Running Python 3.6

Msieve 1.53

Core i5-6200U 2.40GHz,Windows 10,Python 3.6

84162734058760261099583277380790092576037547627757540630107472764986963798527411534150692112903371100926942500161738681885498424209907118898092313553173298170182717126643691263<176>

189344953281801099289844032523<30>
444494202776565721977201120940522199860059753010149064714369456018500463217163672442226792310654799092430889759491584962078996666281704027405100381<147>

Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=732919934
Step 1 took 22026ms
Step 2 took 16557ms
********** Factor found in step 2: 189344953281801099289844032523
Found probable prime factor of 30 digits: 189344953281801099289844032523
Probable prime cofactor 444494202776565721977201120940522199860059753010149064714369456018500463217163672442226792310654799092430889759491584962078996666281704027405100381 has 147 digits

GMP-ECM 6.2.1

5971422478140328428236297718063552996374493495414800597142247814032842823629771806355299637449349541480059714224781403284282362977180635529963744934954148005971422478140328428236297718063553<190>

1458937323972688141163556335746502776674397881172224762818763944697215069<73>
4092994524178830122862088646214472282038812569865140154265414739307172089165984897534485615008489229532328512174074037<118>

Number: n
N=5971422478140328428236297718063552996374493495414800597142247814032842823629771806355299637449349541480059714224781403284282362977180635529963744934954148005971422478140328428236297718063553
  ( 190 digits)
SNFS difficulty: 193 digits.
Divisors found:

Sun Aug 24 01:06:20 2008  prp73 factor: 1458937323972688141163556335746502776674397881172224762818763944697215069
Sun Aug 24 01:06:20 2008  prp118 factor: 4092994524178830122862088646214472282038812569865140154265414739307172089165984897534485615008489229532328512174074037
Sun Aug 24 01:06:20 2008  elapsed time 13:52:38 (Msieve 1.36)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 205.33 hours.
Scaled time: 269.80 units (timescale=1.314).
Factorization parameters were as follows:
name: KA_3_1_191_3
n: 5971422478140328428236297718063552996374493495414800597142247814032842823629771806355299637449349541480059714224781403284282362977180635529963744934954148005971422478140328428236297718063553
type: snfs
skew: 0.66
deg: 5
c5: 175
c0: 34
m: 200000000000000000000000000000000000000
rlim: 9500000
alim: 9500000
lpbr: 28
lpba: 28
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 9500000/9500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 50/50
Sieved  special-q in [100000, 19100001)
Primes: RFBsize:633578, AFBsize:634408, largePrimes:11259898 encountered
Relations: rels:11316728, finalFF:1301584
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 204.60 hours.
Total relation processing time: 0.73 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,9500000,9500000,28,28,50,50,2.5,2.5,100000
total time: 205.33 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

31672680963290019103108312432868979250603919225165327006653437736262170957787856296821147332483321273817020069534642594806141072701901<134>

99382683945977500334658873808598740778689620049967<50>
318694159844854605120879425181906886865805348896942492740283709980063920024563256003<84>

Mon May 04 17:39:46 2009  
Mon May 04 17:39:46 2009  
Mon May 04 17:39:46 2009  Msieve v. 1.41
Mon May 04 17:39:46 2009  random seeds: 6c343098 f895ee55
Mon May 04 17:39:46 2009  factoring 31672680963290019103108312432868979250603919225165327006653437736262170957787856296821147332483321273817020069534642594806141072701901 (134 digits)
Mon May 04 17:39:48 2009  searching for 15-digit factors
Mon May 04 17:39:50 2009  commencing number field sieve (134-digit input)
Mon May 04 17:39:50 2009  R0: -56411713256521487888728554
Mon May 04 17:39:50 2009  R1:  614927434103333
Mon May 04 17:39:50 2009  A0:  4820545946029657007435914785021859
Mon May 04 17:39:50 2009  A1: -3560072597077147464000211347
Mon May 04 17:39:50 2009  A2: -133972022385765948615479
Mon May 04 17:39:50 2009  A3: -316325078052222669
Mon May 04 17:39:50 2009  A4:  177495376228
Mon May 04 17:39:50 2009  A5:  55440
Mon May 04 17:39:50 2009  skew 909388.56, size 5.929278e-013, alpha -7.937906, combined = 4.367942e-011
Mon May 04 17:39:50 2009  
Mon May 04 17:39:50 2009  commencing relation filtering
Mon May 04 17:39:50 2009  commencing duplicate removal, pass 1
Mon May 04 17:43:08 2009  found 4390910 hash collisions in 17620569 relations
Mon May 04 17:43:51 2009  added 107571 free relations
Mon May 04 17:43:51 2009  commencing duplicate removal, pass 2
Mon May 04 17:45:09 2009  found 4773785 duplicates and 12954354 unique relations
Mon May 04 17:45:09 2009  memory use: 106.6 MB
Mon May 04 17:45:09 2009  reading rational ideals above 11862016
Mon May 04 17:45:09 2009  reading algebraic ideals above 11862016
Mon May 04 17:45:09 2009  commencing singleton removal, pass 1
Mon May 04 17:47:47 2009  relations with 0 large ideals: 378556
Mon May 04 17:47:47 2009  relations with 1 large ideals: 2514711
Mon May 04 17:47:47 2009  relations with 2 large ideals: 5111991
Mon May 04 17:47:47 2009  relations with 3 large ideals: 3647510
Mon May 04 17:47:47 2009  relations with 4 large ideals: 1077514
Mon May 04 17:47:47 2009  relations with 5 large ideals: 122319
Mon May 04 17:47:47 2009  relations with 6 large ideals: 101751
Mon May 04 17:47:47 2009  relations with 7+ large ideals: 2
Mon May 04 17:47:47 2009  12954354 relations and about 12248867 large ideals
Mon May 04 17:47:47 2009  commencing singleton removal, pass 2
Mon May 04 17:50:41 2009  found 6014564 singletons
Mon May 04 17:50:41 2009  current dataset: 6939790 relations and about 5014552 large ideals
Mon May 04 17:50:41 2009  commencing singleton removal, pass 3
Mon May 04 17:52:47 2009  found 1113533 singletons
Mon May 04 17:52:47 2009  current dataset: 5826257 relations and about 3839423 large ideals
Mon May 04 17:52:47 2009  commencing singleton removal, pass 4
Mon May 04 17:54:34 2009  found 260096 singletons
Mon May 04 17:54:34 2009  current dataset: 5566161 relations and about 3575226 large ideals
Mon May 04 17:54:35 2009  commencing singleton removal, final pass
Mon May 04 17:56:32 2009  memory use: 84.4 MB
Mon May 04 17:56:32 2009  commencing in-memory singleton removal
Mon May 04 17:56:32 2009  begin with 5566161 relations and 3905421 unique ideals
Mon May 04 17:56:37 2009  reduce to 4752218 relations and 3071387 ideals in 12 passes
Mon May 04 17:56:37 2009  max relations containing the same ideal: 22
Mon May 04 17:56:39 2009  reading rational ideals above 720000
Mon May 04 17:56:39 2009  reading algebraic ideals above 720000
Mon May 04 17:56:39 2009  commencing singleton removal, final pass
Mon May 04 17:58:43 2009  keeping 4547511 ideals with weight <= 20, new excess is 360797
Mon May 04 17:58:49 2009  memory use: 130.8 MB
Mon May 04 17:58:49 2009  commencing in-memory singleton removal
Mon May 04 17:58:50 2009  begin with 4801193 relations and 4547511 unique ideals
Mon May 04 17:58:58 2009  reduce to 4673110 relations and 4180471 ideals in 12 passes
Mon May 04 17:58:58 2009  max relations containing the same ideal: 20
Mon May 04 17:59:01 2009  removing 323163 relations and 286106 ideals in 37057 cliques
Mon May 04 17:59:01 2009  commencing in-memory singleton removal
Mon May 04 17:59:02 2009  begin with 4349947 relations and 4180471 unique ideals
Mon May 04 17:59:06 2009  reduce to 4337433 relations and 3881733 ideals in 7 passes
Mon May 04 17:59:06 2009  max relations containing the same ideal: 20
Mon May 04 17:59:09 2009  removing 240023 relations and 202966 ideals in 37057 cliques
Mon May 04 17:59:10 2009  commencing in-memory singleton removal
Mon May 04 17:59:10 2009  begin with 4097410 relations and 3881733 unique ideals
Mon May 04 17:59:14 2009  reduce to 4089606 relations and 3670897 ideals in 7 passes
Mon May 04 17:59:14 2009  max relations containing the same ideal: 20
Mon May 04 17:59:18 2009  relations with 0 large ideals: 7573
Mon May 04 17:59:18 2009  relations with 1 large ideals: 79833
Mon May 04 17:59:18 2009  relations with 2 large ideals: 375915
Mon May 04 17:59:18 2009  relations with 3 large ideals: 925180
Mon May 04 17:59:18 2009  relations with 4 large ideals: 1267395
Mon May 04 17:59:18 2009  relations with 5 large ideals: 955897
Mon May 04 17:59:18 2009  relations with 6 large ideals: 387327
Mon May 04 17:59:18 2009  relations with 7+ large ideals: 90486
Mon May 04 17:59:18 2009  commencing 2-way merge
Mon May 04 17:59:22 2009  reduce to 2551084 relation sets and 2132375 unique ideals
Mon May 04 17:59:22 2009  commencing full merge
Mon May 04 18:00:04 2009  memory use: 193.4 MB
Mon May 04 18:00:05 2009  found 1311357 cycles, need 1254575
Mon May 04 18:00:05 2009  weight of 1254575 cycles is about 87944184 (70.10/cycle)
Mon May 04 18:00:05 2009  distribution of cycle lengths:
Mon May 04 18:00:05 2009  1 relations: 117849
Mon May 04 18:00:05 2009  2 relations: 150312
Mon May 04 18:00:05 2009  3 relations: 158711
Mon May 04 18:00:05 2009  4 relations: 146449
Mon May 04 18:00:05 2009  5 relations: 130443
Mon May 04 18:00:05 2009  6 relations: 111940
Mon May 04 18:00:05 2009  7 relations: 94429
Mon May 04 18:00:05 2009  8 relations: 78994
Mon May 04 18:00:05 2009  9 relations: 65647
Mon May 04 18:00:05 2009  10+ relations: 199801
Mon May 04 18:00:05 2009  heaviest cycle: 17 relations
Mon May 04 18:00:05 2009  commencing cycle optimization
Mon May 04 18:00:08 2009  start with 7055729 relations
Mon May 04 18:00:27 2009  pruned 186556 relations
Mon May 04 18:00:27 2009  memory use: 185.4 MB
Mon May 04 18:00:27 2009  distribution of cycle lengths:
Mon May 04 18:00:27 2009  1 relations: 117849
Mon May 04 18:00:27 2009  2 relations: 154178
Mon May 04 18:00:27 2009  3 relations: 165233
Mon May 04 18:00:27 2009  4 relations: 150588
Mon May 04 18:00:27 2009  5 relations: 133901
Mon May 04 18:00:27 2009  6 relations: 113637
Mon May 04 18:00:27 2009  7 relations: 95275
Mon May 04 18:00:27 2009  8 relations: 78523
Mon May 04 18:00:27 2009  9 relations: 64337
Mon May 04 18:00:27 2009  10+ relations: 181054
Mon May 04 18:00:27 2009  heaviest cycle: 17 relations
Mon May 04 18:00:29 2009  RelProcTime: 845
Mon May 04 18:00:29 2009  
Mon May 04 18:00:29 2009  commencing linear algebra
Mon May 04 18:00:30 2009  read 1254575 cycles
Mon May 04 18:00:33 2009  cycles contain 3807029 unique relations
Mon May 04 18:01:54 2009  read 3807029 relations
Mon May 04 18:02:01 2009  using 20 quadratic characters above 268433534
Mon May 04 18:02:26 2009  building initial matrix
Mon May 04 18:03:30 2009  memory use: 443.3 MB
Mon May 04 18:03:37 2009  read 1254575 cycles
Mon May 04 18:03:53 2009  matrix is 1254364 x 1254575 (361.8 MB) with weight 120703793 (96.21/col)
Mon May 04 18:03:53 2009  sparse part has weight 84812850 (67.60/col)
Mon May 04 18:04:14 2009  filtering completed in 2 passes
Mon May 04 18:04:14 2009  matrix is 1250862 x 1251062 (361.4 MB) with weight 120513377 (96.33/col)
Mon May 04 18:04:14 2009  sparse part has weight 84728033 (67.72/col)
Mon May 04 18:04:19 2009  read 1251062 cycles
Mon May 04 18:04:22 2009  matrix is 1250862 x 1251062 (361.4 MB) with weight 120513377 (96.33/col)
Mon May 04 18:04:22 2009  sparse part has weight 84728033 (67.72/col)
Mon May 04 18:04:22 2009  saving the first 48 matrix rows for later
Mon May 04 18:04:23 2009  matrix is 1250814 x 1251062 (349.0 MB) with weight 96938267 (77.48/col)
Mon May 04 18:04:23 2009  sparse part has weight 83977886 (67.13/col)
Mon May 04 18:04:23 2009  matrix includes 64 packed rows
Mon May 04 18:04:23 2009  using block size 65536 for processor cache size 3072 kB
Mon May 04 18:04:34 2009  commencing Lanczos iteration
Mon May 04 18:04:34 2009  memory use: 344.1 MB
Mon May 04 22:18:31 2009  lanczos halted after 19783 iterations (dim = 1250813)
Mon May 04 22:18:35 2009  recovered 30 nontrivial dependencies
Mon May 04 22:18:36 2009  BLanczosTime: 15487
Mon May 04 22:18:36 2009  
Mon May 04 22:18:36 2009  commencing square root phase
Mon May 04 22:18:36 2009  reading relations for dependency 1
Mon May 04 22:18:37 2009  read 626185 cycles
Mon May 04 22:18:38 2009  cycles contain 2333553 unique relations
Mon May 04 22:19:51 2009  read 2333553 relations
Mon May 04 22:20:07 2009  multiplying 1903340 relations
Mon May 04 22:27:41 2009  multiply complete, coefficients have about 93.37 million bits
Mon May 04 22:27:45 2009  initial square root is modulo 5035379
Mon May 04 22:37:34 2009  sqrtTime: 1138
Mon May 04 22:37:34 2009  prp50 factor: 99382683945977500334658873808598740778689620049967
Mon May 04 22:37:34 2009  prp84 factor: 318694159844854605120879425181906886865805348896942492740283709980063920024563256003
Mon May 04 22:37:34 2009  elapsed time 04:57:48

polynomial selection 44:35:57
sieving time 425,55 hours
total time ~ 475,1 hours

Msieve v1.41 / GGNFS / Msieve v1.41

Intel Core 2 Duo T8100
Windows Vista 32 bit

139538387268576268802615871046883842070490311042208642130680848939326233586962304858601070434717102612184689018720893153515333836283096409933535337013461476749261<162>

267747582533568120979679240167632841<36>
521156478606420377593556558337182777505459913535856282556864363363276939584304708565865264151519008590055417300197155150555621<126>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=21645873
Step 1 took 27159ms
Step 2 took 9989ms
********** Factor found in step 2: 267747582533568120979679240167632841
Found probable prime factor of 36 digits: 267747582533568120979679240167632841

17226051018774439313268864096576136826121491664285897506435779620911126725818704481902111016007418836699015328859231652756575975245482015950304149946313402479<158>

397001157187479480663685802621190398291110519571<48>
43390430246629291271453197029152776453107594398437330875049164252623937970958082426690979520313713779786298549<110>

p48 factor: 397001157187479480663685802621190398291110519571
p110 factor: 43390430246629291271453197029152776453107594398437330875049164252623937970958082426690979520313713779786298549


Msieve v. 1.54 (SVN 1032M)
random seeds: 3bd1270a d19b397b
factoring 17226051018774439313268864096576136826121491664285897506435779620911126725818704481902111016007418836699015328859231652756575975245482015950304149946313402479 (158 digits)
searching for 15-digit factors
commencing number field sieve (158-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: 17
A1: 0
A2: 0
A3: 0
A4: 0
A5: 28
skew 1.00, size 1.405e-13, alpha 0.214, combined = 2.426e-11 rroots = 1

commencing relation filtering
estimated available RAM is 48213.5 MB
commencing duplicate removal, pass 1
found 2349744 hash collisions in 37147457 relations
added 727134 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 37874591 unique relations
memory use: 98.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1241.9 MB
keeping 40232131 ideals with weight <= 200, target excess is 201294
commencing in-memory singleton removal
begin with 37874591 relations and 40232131 unique ideals
reduce to 14784188 relations and 13230180 ideals in 14 passes
max relations containing the same ideal: 113
removing 2096656 relations and 1696656 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 12687532 relations and 13230180 unique ideals
reduce to 12436438 relations and 11273673 ideals in 10 passes
max relations containing the same ideal: 97
removing 1679407 relations and 1279407 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 10757031 relations and 11273673 unique ideals
reduce to 10564776 relations and 9795810 ideals in 9 passes
max relations containing the same ideal: 91
removing 1582970 relations and 1182970 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 8981806 relations and 9795810 unique ideals
reduce to 8775194 relations and 8398680 ideals in 10 passes
max relations containing the same ideal: 80
removing 713379 relations and 570367 ideals in 143012 cliques
commencing in-memory singleton removal
begin with 8061815 relations and 8398680 unique ideals
reduce to 8014160 relations and 7779875 ideals in 7 passes
max relations containing the same ideal: 75
relations with 0 large ideals: 4130
relations with 1 large ideals: 10360
relations with 2 large ideals: 88494
relations with 3 large ideals: 406898
relations with 4 large ideals: 1132467
relations with 5 large ideals: 1968753
relations with 6 large ideals: 2219251
relations with 7+ large ideals: 2183807
commencing 2-way merge
reduce to 4966358 relation sets and 4732073 unique ideals
commencing full merge
memory use: 548.1 MB
found 2307889 cycles, need 2282273
weight of 2282273 cycles is about 205851380 (90.20/cycle)
distribution of cycle lengths:
1 relations: 188576
2 relations: 189031
3 relations: 198149
4 relations: 194841
5 relations: 190596
6 relations: 177314
7 relations: 166988
8 relations: 152523
9 relations: 136669
10+ relations: 687586
heaviest cycle: 27 relations
commencing cycle optimization
start with 16901887 relations
pruned 570926 relations
memory use: 499.7 MB
distribution of cycle lengths:
1 relations: 188576
2 relations: 193702
3 relations: 205660
4 relations: 201375
5 relations: 197647
6 relations: 182882
7 relations: 172674
8 relations: 156024
9 relations: 139988
10+ relations: 643745
heaviest cycle: 26 relations
RelProcTime: 710
elapsed time 00:11:51


Msieve v. 1.54 (SVN 1032M)
random seeds: 4e6be4d4 31bec72f
factoring 17226051018774439313268864096576136826121491664285897506435779620911126725818704481902111016007418836699015328859231652756575975245482015950304149946313402479 (158 digits)
searching for 15-digit factors
commencing number field sieve (158-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: 17
A1: 0
A2: 0
A3: 0
A4: 0
A5: 28
skew 1.00, size 1.405e-13, alpha 0.214, combined = 2.426e-11 rroots = 1

commencing linear algebra
read 2282273 cycles
cycles contain 7850079 unique relations
read 7850079 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 965.5 MB
read 2282273 cycles
matrix is 2282093 x 2282273 (839.3 MB) with weight 247752605 (108.56/col)
sparse part has weight 194900670 (85.40/col)
filtering completed in 2 passes
matrix is 2281365 x 2281545 (839.2 MB) with weight 247723816 (108.58/col)
sparse part has weight 194889434 (85.42/col)
matrix starts at (0, 0)
matrix is 2281365 x 2281545 (839.2 MB) with weight 247723816 (108.58/col)
sparse part has weight 194889434 (85.42/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2281317 x 2281545 (798.9 MB) with weight 203407302 (89.15/col)
sparse part has weight 186600213 (81.79/col)
using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
commencing Lanczos iteration (12 threads)
memory use: 758.4 MB
linear algebra at 0.1%, ETA 2h 5m
checkpointing every 1220000 dimensions
lanczos halted after 36081 iterations (dim = 2281315)
recovered 38 nontrivial dependencies
BLanczosTime: 5463
elapsed time 01:31:04


Msieve v. 1.54 (SVN 1032M)
random seeds: 2ad6c2ae 4fa5ba30
factoring 17226051018774439313268864096576136826121491664285897506435779620911126725818704481902111016007418836699015328859231652756575975245482015950304149946313402479 (158 digits)
searching for 15-digit factors
commencing number field sieve (158-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: 17
A1: 0
A2: 0
A3: 0
A4: 0
A5: 28
skew 1.00, size 1.405e-13, alpha 0.214, combined = 2.426e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1139772 cycles
cycles contain 3925480 unique relations
read 3925480 relations
multiplying 3925480 relations
multiply complete, coefficients have about 105.87 million bits
initial square root is modulo 39717731
GCD is 1, no factor found
reading relations for dependency 2
read 1140738 cycles
cycles contain 3924118 unique relations
read 3924118 relations
multiplying 3924118 relations
multiply complete, coefficients have about 105.83 million bits
initial square root is modulo 39454211
sqrtTime: 571
p48 factor: 397001157187479480663685802621190398291110519571
p110 factor: 43390430246629291271453197029152776453107594398437330875049164252623937970958082426690979520313713779786298549
elapsed time 00:09:33

CADO-NFS/Msieve

12889740775013183756454887338645522983281321952133361909755149429081352387433757853867893148472784421585702907539103714995789353726842424474730740273922250038501700602040594857<176>

9167959369522701260984364378300990105189051242488179809234867248701708709<73>
1405955268286081467780351179628864876164283434670353330274368283137270096785874846160954957686871969973<103>

Number: n
N=12889740775013183756454887338645522983281321952133361909755149429081352387433757853867893148472784421585702907539103714995789353726842424474730740273922250038501700602040594857  ( 176 digits)
SNFS difficulty: 199 digits.
Divisors found:

Fri Mar 26 09:45:16 2021  p73 factor: 9167959369522701260984364378300990105189051242488179809234867248701708709
Fri Mar 26 09:45:16 2021  p103 factor: 1405955268286081467780351179628864876164283434670353330274368283137270096785874846160954957686871969973
Fri Mar 26 09:45:16 2021  elapsed time 01:19:42 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 28x10^198+17 = 31(197)3
#
n: 12889740775013183756454887338645522983281321952133361909755149429081352387433757853867893148472784421585702907539103714995789353726842424474730740273922250038501700602040594857
m: 2000000000000000000000000000000000000000
deg: 5
c5: 875
c0: 17
skew: 0.45
# Murphy_E = 1.749e-11
type: snfs
lss: 1
rlim: 14800000
alim: 14800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14800000/14800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3969948 hash collisions in 29598728 relations (27196573 unique)
Msieve: matrix is 1775758 x 1775983 (618.9 MB)

Sieving start time : 2021/03/26 01:30:00
Sieving end time  : 2021/03/26 08:25:01

Total sieving time: 6hrs 55min 1secs.

Total relation processing time: 1hrs 1min 16sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 47sec.

Prototype def-par.txt line would be:
snfs,199,5,0,0,0,0,0,0,0,0,14800000,14800000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119391] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241112K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486124K reserved, 0K cma-reserved)
[    0.153515] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.47 BogoMIPS (lpj=12798944)
[    0.152034] smpboot: Total of 16 processors activated (102391.55 BogoMIPS)

254663502908386392671807298140605193837086839812550559133027262303829807742665999458597967963068348261399651920881138009055617404591404973906314771494057318477<159>

12051685159877542704391480283789087467<38>
21130945550769269441951251988681644613310297071401945229873247963621915807216232270661809238829553344367204038913916421031<122>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1381774974
Step 1 took 99248ms
Step 2 took 33253ms
********** Factor found in step 2: 12051685159877542704391480283789087467
Found probable prime factor of 38 digits: 12051685159877542704391480283789087467

1403004825707639715759573077865069749591337651335039131364522962425481687115878021941367618997862208857720788351809000329860201386620747908292679807541955249458251867211355769<175>

117986204852362091637076310091577108729<39>
11891261588278398347072640099762696647222144372433467862348890992835020708626740713274868462647830215407743356489105365199343371828197761<137>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3032076385
Step 1 took 91075ms
Step 2 took 41372ms
********** Factor found in step 2: 117986204852362091637076310091577108729
Found probable prime factor of 39 digits: 117986204852362091637076310091577108729
Probable prime cofactor 11891261588278398347072640099762696647222144372433467862348890992835020708626740713274868462647830215407743356489105365199343371828197761 has 137 digits

355338177814601298206391351944396340254077010073311945186790849583629024826350285398105416600467264601007629470373814531670410997762157786640679199585117197616152403012774755971<177>

11872181844286614153669523678415355086464220219383967<53>
29930317988315244124819577498790782309178708100557951131446717298193461716060709621997404177765987881560796891769924083213213<125>

#
# N = 28x10^201+17 = 31(200)3
#
n: 355338177814601298206391351944396340254077010073311945186790849583629024826350285398105416600467264601007629470373814531670410997762157786640679199585117197616152403012774755971
m: 10000000000000000000000000000000000000000
deg: 5
c5: 280
c0: 17
skew: 0.57
# Murphy_E = 1.355e-11
type: snfs
lss: 1
rlim: 16600000
alim: 16600000
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 355338177814601298206391351944396340254077010073311945186790849583629024826350285398105416600467264601007629470373814531670410997762157786640679199585117197616152403012774755971 (177 digits)
Using B1=47470000, B2=240494804566, polynomial Dickson(12), sigma=1:3634979764
Step 1 took 128128ms
Step 2 took 38429ms
********** Factor found in step 2: 11872181844286614153669523678415355086464220219383967
Found prime factor of 53 digits: 11872181844286614153669523678415355086464220219383967
Prime cofactor 29930317988315244124819577498790782309178708100557951131446717298193461716060709621997404177765987881560796891769924083213213 has 125 digits

10698547391162588898476402449935655837040669046643946448063870172826870762126829634428212919708510745224593666948129083571555684382633609970297673734224510289037906278570998929473701601268486773<194>

56442809437724979162325212976954671810864500636864747706242999860514771<71>
189546684471236546501726253605944891583174177578196413982752630342340248973584783306162740377008400162438475110330386362263<123>

Number: n
N=10698547391162588898476402449935655837040669046643946448063870172826870762126829634428212919708510745224593666948129083571555684382633609970297673734224510289037906278570998929473701601268486773
  ( 194 digits)
SNFS difficulty: 204 digits.
Divisors found:

Sun May  9 21:30:59 2021  p71 factor: 56442809437724979162325212976954671810864500636864747706242999860514771
Sun May  9 21:30:59 2021  p123 factor: 189546684471236546501726253605944891583174177578196413982752630342340248973584783306162740377008400162438475110330386362263
Sun May  9 21:30:59 2021  elapsed time 01:53:51 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.344).
Factorization parameters were as follows:
#
# N = 28x10^203+17 = 31(202)3
#
n: 10698547391162588898476402449935655837040669046643946448063870172826870762126829634428212919708510745224593666948129083571555684382633609970297673734224510289037906278570998929473701601268486773
m: 20000000000000000000000000000000000000000
deg: 5
c5: 875
c0: 17
skew: 0.45
# Murphy_E = 1.08e-11
type: snfs
lss: 1
rlim: 17900000
alim: 17900000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17900000/17900000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 28950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7516233 hash collisions in 56239697 relations (50952953 unique)
Msieve: matrix is 2053571 x 2053796 (716.2 MB)

Sieving start time : 2021/05/09 09:47:16
Sieving end time  : 2021/05/09 19:35:51

Total sieving time: 9hrs 48min 35secs.

Total relation processing time: 1hrs 23min 3sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 15min 7sec.

Prototype def-par.txt line would be:
snfs,204,5,0,0,0,0,0,0,0,0,17900000,17900000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118393] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241108K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486128K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.30 BogoMIPS (lpj=12798612)
[    0.152049] smpboot: Total of 16 processors activated (102388.89 BogoMIPS)

100358422939068100358422939068100358422939068100358422939068100358422939068100358422939068100358422939068100358422939068100358422939068100358422939068100358422939068100358422939068100358422939068100358423<204>

5549502119165258342647234210242308825138298398337475321739834168369795678484737<79>
18084221031735321329039770741477474779013430932160279023499319685598437296035033154056684075116405074101804755390144838406679<125>

Number: n
N=100358422939068100358422939068100358422939068100358422939068100358422939068100358422939068100358422939068100358422939068100358422939068100358422939068100358422939068100358422939068100358422939068100358423
  ( 204 digits)
SNFS difficulty: 206 digits.
Divisors found:

Thu Nov 14 06:45:09 2013  prp79 factor: 5549502119165258342647234210242308825138298398337475321739834168369795678484737
Thu Nov 14 06:45:09 2013  prp125 factor: 18084221031735321329039770741477474779013430932160279023499319685598437296035033154056684075116405074101804755390144838406679
Thu Nov 14 06:45:09 2013  elapsed time 08:36:46 (Msieve 1.44 - dependency 1)

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:
#
#  31(203)3
#
#  c204, diff: 206.15
#
skew: 1.434
n: 100358422939068100358422939068100358422939068100358422939068100358422939068100358422939068100358422939068100358422939068100358422939068100358422939068100358422939068100358422939068100358422939068100358423
m: 100000000000000000000000000000000000000000
deg: 5
c5: 14
c0: 85
# Murphy_E = 1.208e-11
type: snfs
lss: 1
rlim: 19100000
alim: 19100000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 19100000/19100000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 17550000)
Primes: RFBsize:1216988, AFBsize:1216726,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 5918362 hash collisions in 48760264 relations (44787345 unique)
Msieve: matrix is 2346446 x 2346673 (674.7 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 7hrs 47min 54sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 19min 56sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19100000,19100000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

1264780640225030573066820757293806265988164281840995007902013560566674187825398383523399204020568987925891319505577979792474044968244048166118887222122688639506030732934433<172>

138209657755572549751785040603123045301093<42>
15105548168256588113020037067762171141289769718284497<53>
605815426003587626963337772758405064507774986163552178636779411993298030997373<78>

#
# N = 28x10^205+17 = 31(204)3
#
n: 1264780640225030573066820757293806265988164281840995007902013560566674187825398383523399204020568987925891319505577979792474044968244048166118887222122688639506030732934433
m: 100000000000000000000000000000000000000000
deg: 5
c5: 28
c0: 17
skew: 0.91
# Murphy_E = 1.037e-11
type: snfs
lss: 1
rlim: 19300000
alim: 19300000
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 1264780640225030573066820757293806265988164281840995007902013560566674187825398383523399204020568987925891319505577979792474044968244048166118887222122688639506030732934433 (172 digits)
Using B1=45500000, B2=240492732496, polynomial Dickson(12), sigma=1:1452515699
Step 1 took 108018ms
Step 2 took 36282ms
********** Factor found in step 2: 138209657755572549751785040603123045301093
Found prime factor of 42 digits: 138209657755572549751785040603123045301093
Composite cofactor 9151174098570077676900204741630799150240982046948746795335071113782822898676497469915190628149889783070443768118514342875473626381 has 130 digits



CADO

ETA:Fri 06 Aug 2021 20:35:34 AEST (9,151,174,098,570,077,676,900,204,741,630,799,150,240,982,046,948,746,795,335,071,113,782,822,898,676,497,469,915,190,628,149,889,783,070,443,768,118,514,342,875,473,626,381 - C130)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 9151174098570077676900204741630799150240982046948746795335071113782822898676497469915190628149889783070443768118514342875473626381 2>&1 | tee -a log39

Debug:root: Looking for parameter file for c130 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c130
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c130
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.r664n74x
Info:Database: Opened connection to database /tmp/cado.r664n74x/c130.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 9151174098570077676900204741630799150240982046948746795335071113782822898676497469915
190628149889783070443768118514342875473626381
Debug:root: Root parameter dictionary:
N = 9151174098570077676900204741630799150240982046948746795335071113782822898676497469915190628149889783070443768118514342875473626381
lim0 = 11872741
lim1 = 45278470
lpb0 = 27
lpb1 = 28
name = c130
...
n: 9151174098570077676900204741630799150240982046948746795335071113782822898676497469915190628149889783070443768118514342875473626381
skew: 138706.009
c0: 141536664226286609671550972901
c1: -44485164677628643672769260
c2: 978430282827267729693
c3: 3279628154676772
c4: -3382409394
c5: 55800
Y0: -13758044094027822762203534
Y1: 441825117290590471
# MurphyE (Bf=4.53e+07,Bg=1.19e+07,area=6.08e+15) = 1.61e-09
# f(x) = 55800*x^5-3382409394*x^4+3279628154676772*x^3+978430282827267729693*x^2-44485164677628643672769260*x+141536664226286609671550972901
# g(x) = 441825117290590471*x-13758044094027822762203534
...
Info:Square Root: Factors: 15105548168256588113020037067762171141289769718284497 605815426003587626963337772758405064507774986163552178636779411993298030997373
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 1769.28/247.295
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38473/38.710/46.413/50.310/0.847
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 38473/37.670/41.787/47.230/1.167
Info:Polynomial Selection (size optimized): Total time: 5782.94
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2255.88
Info:Polynomial Selection (root optimized): Rootsieve time: 2254.95
Info:Generate Factor Base: Total cpu/real time for makefb: 59.14/5.2128
Info:Generate Free Relations: Total cpu/real time for freerel: 305.1/20.4978
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 19129131
Info:Lattice Sieving: Average J: 7689.52 for 83194 special-q, max bucket fill: 0.656614
Info:Lattice Sieving: Total CPU time: 267215s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 49.66/69.6507
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 69.6s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 329.4/103.615
Info:Filtering - Singleton removal: Total cpu/real time for purge: 173.86/76.253
Info:Filtering - Merging: Total cpu/real time for merge: 997.91/858.171
Info:Filtering - Merging: Total cpu/real time for replay: 65.6/51.1532
Info:Linear Algebra: Total cpu/real time for bwc: 71183/0.000328064
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 3051.95
Info:Linear Algebra: Lingen CPU time 384.87, WCT time 37.76
Info:Linear Algebra: Mksol: WCT time 1659.33
Info:Quadratic Characters: Total cpu/real time for characters: 64.85/15.3217
Info:Square Root: Total cpu/real time for sqrt: 1769.28/247.295
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 350252/24763.7
Info:root: Cleaning up computation data in /tmp/cado.r664n74x
15105548168256588113020037067762171141289769718284497 605815426003587626963337772758405064507774986163552178636779411993298030997373

END:Sat 07 Aug 2021 03:28:18 AEST (9,151,174,098,570,077,676,900,204,741,630,799,150,240,982,046,948,746,795,335,071,113,782,822,898,676,497,469,915,190,628,149,889,783,070,443,768,118,514,342,875,473,62
6,381 - C130)

30294962496563268475285727111154872589759638066264063788791517421099506594475670898230243927033607966618957629359036544316519770241893999679851392166060301712942807933656777175426866278247<188>

16568843936988700494112957248995802840652540402941458719850378213431191541<74>
1828429467485781462872235220636397474569200872026044965540088774603322434198393971604046890799247292559884383145067<115>

Number: n
N=30294962496563268475285727111154872589759638066264063788791517421099506594475670898230243927033607966618957629359036544316519770241893999679851392166060301712942807933656777175426866278247  ( 188 digits)
SNFS difficulty: 207 digits.
Divisors found:

Thu Aug 26 00:09:01 2021  p74 factor: 16568843936988700494112957248995802840652540402941458719850378213431191541
Thu Aug 26 00:09:01 2021  p115 factor: 1828429467485781462872235220636397474569200872026044965540088774603322434198393971604046890799247292559884383145067
Thu Aug 26 00:09:01 2021  elapsed time 02:20:21 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 28x10^206+17 = 31(205)3
#
n: 30294962496563268475285727111154872589759638066264063788791517421099506594475670898230243927033607966618957629359036544316519770241893999679851392166060301712942807933656777175426866278247
m: 100000000000000000000000000000000000000000
deg: 5
c5: 280
c0: 17
skew: 0.57
# Murphy_E = 8.344e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 44400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 11055270 hash collisions in 68527114 relations (59930855 unique)
Msieve: matrix is 2451037 x 2451264 (843.3 MB)

Sieving start time : 2021/08/25 05:47:46
Sieving end time  : 2021/08/25 21:47:01

Total sieving time: 15hrs 59min 15secs.

Total relation processing time: 1hrs 59min 57sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 4sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,20000000,20000000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116939] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239968K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2736K init, 4964K bss, 487268K reserved, 0K cma-reserved)
[    0.154077] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.20 BogoMIPS (lpj=12798404)
[    0.152034] smpboot: Total of 16 processors activated (102387.23 BogoMIPS)

53875619448898444502552431671481758303802760287525965032791169529437282722240987530769253606358937818133753556456879224656276784456449785979913986569<149>

357904242610192384421725033219644968575843153621<48>
150530820914510658299958058164810823092566408718276182959523322882724138955061381307789463319661068389<102>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4159134773
Step 1 took 68320ms
Step 2 took 27470ms
********** Factor found in step 2: 357904242610192384421725033219644968575843153621
Found probable prime factor of 48 digits: 357904242610192384421725033219644968575843153621
Probable prime cofactor 150530820914510658299958058164810823092566408718276182959523322882724138955061381307789463319661068389 has 102 digits

GMP-ECM 6.2.3

Core2 Duo U7300 1.3GHz

10333486983999315032606393527971177212851470367554023503694908331723924424040485228999393334132098526984885542058820824500211420113710907699513030125898982906641247648617162487839614483273<188>

13463762623623198378012300051259750297026424626349<50>
767503652052541687293288581578576509006158073437318287498358983632881139834189342033908627171121886463919323889632968482371297582794305677<138>

Number: n
N=10333486983999315032606393527971177212851470367554023503694908331723924424040485228999393334132098526984885542058820824500211420113710907699513030125898982906641247648617162487839614483273  ( 188 digits)
SNFS difficulty: 211 digits.
Divisors found:

Thu Aug 26 17:52:56 2021  p50 factor: 13463762623623198378012300051259750297026424626349
Thu Aug 26 17:52:56 2021  p138 factor: 767503652052541687293288581578576509006158073437318287498358983632881139834189342033908627171121886463919323889632968482371297582794305677
Thu Aug 26 17:52:56 2021  elapsed time 02:23:30 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 28x10^209+17 = 31(208)3
#
n: 10333486983999315032606393527971177212851470367554023503694908331723924424040485228999393334132098526984885542058820824500211420113710907699513030125898982906641247648617162487839614483273
m: 1000000000000000000000000000000000000000000
deg: 5
c5: 14
c0: 85
skew: 1.43
# Murphy_E = 7.415e-12
type: snfs
lss: 1
rlim: 23000000
alim: 23000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 23000000/23000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 45900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9776027 hash collisions in 66930074 relations (59858865 unique)
Msieve: matrix is 2451543 x 2451770 (861.7 MB)

Sieving start time : 2021/08/26 00:12:20
Sieving end time  : 2021/08/26 15:28:03

Total sieving time: 15hrs 15min 43secs.

Total relation processing time: 2hrs 0min 35sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 34sec.

Prototype def-par.txt line would be:
snfs,211,5,0,0,0,0,0,0,0,0,23000000,23000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116939] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239968K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2736K init, 4964K bss, 487268K reserved, 0K cma-reserved)
[    0.154077] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.20 BogoMIPS (lpj=12798404)
[    0.152034] smpboot: Total of 16 processors activated (102387.23 BogoMIPS)

11832893614304190229400244229470621344378760726234992585621964349507187382561110536579886421305988028410118824033837543299760866280603560964699907072060591275878886772641803664922866182893837<191>

553691089831859610216008341221439<33>
21370930165947779216655209985566737150569940581513589529863833109526877365429933348741729829316804862907158788710122935686064181788913724074811145744136309683<158>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2936091626
Step 1 took 31285ms
Step 2 took 11677ms
********** Factor found in step 2: 553691089831859610216008341221439
Found probable prime factor of 33 digits: 553691089831859610216008341221439

94437469381898585172657456118635146371597756817842471143518478378023195130712815932543092094044131537117106233969312113<119>

5855447882886756181031412789079740888831583408073827<52>
16128137637071851822258030814164346016245351454459772318611912872219<68>

N = 94437469381898585172657456118635146371597756817842471143518478378023195130712815932543092094044131537117106233969312113 (119 digits)
Divisors found:
r1=5855447882886756181031412789079740888831583408073827 (pp52)
r2=16128137637071851822258030814164346016245351454459772318611912872219 (pp68)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 8.09 hours.
Factorization parameters were as follows:
n: 94437469381898585172657456118635146371597756817842471143518478378023195130712815932543092094044131537117106233969312113
Y0: -98870277649340308815124
Y1: 4027575045607
c0: -1979183045032787962194976341
c1: 121263100689658784065857
c2: 12736989949147829369
c3: -493608717742553
c4: -6031686448
c5: 9996
skew: 48364.28  
type: gnfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10301921
Relations: 1196522 relations
Pruned matrix : 682856 x 683085
Polynomial selection time: 0.00 hours.
Total sieving time: 7.66 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.35 hours.
time per square root: 0.04 hours.
Prototype def-par.txt line would be: gnfs,118,5,63,2000,2.6e-05,0.28,250,20,50000,3600,4000000,4000000,27,27,53,53,2.5,2.5,100000
total time: 8.09 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

75594410181639722618230008312807538489008517654030951868876692287431303949736283242234892201807455928713295195642298102715865476862834758213977656641461875194668569693<167>

6901249179428443667382326647443651940185951825129005527382315973810791884049143985516189293916994236130698452133641512598258594484381638889667443328703931104895339<163>

14869463742504848784974012700396436961977<41>
464122264187712231366075340193057247924303899560931814263767441829657847095429562629847190622018257492217588479927537949507<123>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1439673280
Step 1 took 27109ms
Step 2 took 10008ms
********** Factor found in step 2: 14869463742504848784974012700396436961977
Found probable prime factor of 41 digits: 14869463742504848784974012700396436961977

580662477435848020921518275094029502904441376483884079123208085525728365232826324565930163515588367467997756146382639461343177320584405109<138>

862043701915887153472501785324860349788606895817751<51>
673588213851953230760891591346890138145829425982841770670310823627557888340912177707859<87>

Number: 31113_217
N = 580662477435848020921518275094029502904441376483884079123208085525728365232826324565930163515588367467997756146382639461343177320584405109 (138 digits)
Divisors found:
r1=862043701915887153472501785324860349788606895817751 (pp51)
r2=673588213851953230760891591346890138145829425982841770670310823627557888340912177707859 (pp87)
Version: Msieve v. 1.51 (SVN 845)
Total time: 165.98 hours.
Factorization parameters were as follows:
# Murphy_E = 3.465e-11, selected by Dmitry Domanov
n: 580662477435848020921518275094029502904441376483884079123208085525728365232826324565930163515588367467997756146382639461343177320584405109
Y0: -358337057734279124980135312
Y1: 1003094304893
c0: -56461126256618810211224420341867479
c1: 96349043459297726329067608558
c2: 173662882404135955820967
c3: -259402228163414442
c4: -179363826844
c5: 98280
skew: 1098888.16
type: gnfs
# selected mechanically
rlim: 15900000
alim: 15900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 15900000/15900000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23091939
Relations: 3059760 relations
Pruned matrix : 1932426 x 1932652
Polynomial selection time: 0.00 hours.
Total sieving time: 161.62 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 3.10 hours.
time per square root: 1.12 hours.
Prototype def-par.txt line would be: gnfs,137,5,65,2000,1e-05,0.28,250,20,50000,3600,15900000,15900000,28,28,55,55,2.6,2.6,100000
total time: 165.98 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz

GGNFS, Msieve

7997247770387034584032639991276850209480193738898327115937708327315567028581660913691941670772196310475973712967211116297303488233781846269819874835345921801856618801924670057308308998836059818947<196>

32084318925422663637991547267311672397849207436232217<53>
14125259131240958122036888781576865456829787391725757845418336700643<68>
17646204302138109390143381179823298245153737933503438442150229368505428635337<77>

Number: 31113_219
N = 7997247770387034584032639991276850209480193738898327115937708327315567028581660913691941670772196310475973712967211116297303488233781846269819874835345921801856618801924670057308308998836059818947 (196 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=32084318925422663637991547267311672397849207436232217 (pp53)
r2=14125259131240958122036888781576865456829787391725757845418336700643 (pp68)
r3=17646204302138109390143381179823298245153737933503438442150229368505428635337 (pp77)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 73.68 hours.
Factorization parameters were as follows:
n: 7997247770387034584032639991276850209480193738898327115937708327315567028581660913691941670772196310475973712967211116297303488233781846269819874835345921801856618801924670057308308998836059818947
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 14
c0: 85
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: 7267432 relations
Pruned matrix : 6585555 x 6585780
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 37.18 hours.
Total relation processing time: 0.44 hours.
Matrix solve time: 35.68 hours.
time per square root: 0.39 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 73.68 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

3906777350508397363883689564037705630893541070825660467073988334541174643531334421385781259757320794311508908162110573641056777297767752964587318241377279974440006365098889664877173846081041<190>

449879789103592518299684429463552741554083861229027877105028516761144461729952773100142321<90>
8684047261364735456131901832950546169549257335169582709793354948903699760086342933391582316604076321<100>

Number: 31113_220
N = 3906777350508397363883689564037705630893541070825660467073988334541174643531334421385781259757320794311508908162110573641056777297767752964587318241377279974440006365098889664877173846081041 (190 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=449879789103592518299684429463552741554083861229027877105028516761144461729952773100142321 (pp90)
r2=8684047261364735456131901832950546169549257335169582709793354948903699760086342933391582316604076321 (pp100)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 76.66 hours.
Factorization parameters were as follows:
n: 3906777350508397363883689564037705630893541070825660467073988334541174643531334421385781259757320794311508908162110573641056777297767752964587318241377279974440006365098889664877173846081041
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 28
c0: 17
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 27
mfbr: 58
mfba: 54
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 4
Number of threads per core: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/27
Total raw relations: 33755970
Relations: 7668746 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 42.01 hours.
Total relation processing time: 0.62 hours.
Pruned matrix : 7167403 x 7167628
Matrix solve time: 33.75 hours.
time per square root: 0.28 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,536870912,29,27,58,54,2.8,2.8,100000
total time: 76.66 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.16299-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

566547291825589619113966906775541053909396979785414397982014611155377509674525326249791071199380642872789265890906072314460789104984843865440175881108681968621685444929157174047970542253135724606037648748047<207>

3154388390972844357631204369283419365480607488024268388859094183406744622952346917404311768611910767333<103>
179606066724985907808337692173999229241330565948611331196952524837121815086860528892450080011263347173859<105>

Number: 31113_221
N = 566547291825589619113966906775541053909396979785414397982014611155377509674525326249791071199380642872789265890906072314460789104984843865440175881108681968621685444929157174047970542253135724606037648748047 (207 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=3154388390972844357631204369283419365480607488024268388859094183406744622952346917404311768611910767333 (pp103)
r2=179606066724985907808337692173999229241330565948611331196952524837121815086860528892450080011263347173859 (pp105)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 84.19 hours.
Factorization parameters were as follows:
n: 566547291825589619113966906775541053909396979785414397982014611155377509674525326249791071199380642872789265890906072314460789104984843865440175881108681968621685444929157174047970542253135724606037648748047
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 280
c0: 17
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: 8055676 relations
Pruned matrix : 7068919 x 7069145
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 45.41 hours.
Total relation processing time: 0.43 hours.
Matrix solve time: 38.17 hours.
time per square root: 0.18 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 84.19 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

1331500604868649768048223631629197964766812123764274506265424510258883025309469509606335094085644097434878739224368358137870996886135546027777141764875800486672992988627953451149624887876594096602429164017659<208>

2000637320035808993697055259608552680766026546391<49>
665538222012582227572874483120069668775981901917367072590130796550579861106076124200485699597852164434457558042744395891185901704947746844449265678575448839549<159>

Number: 31113_222
N = 1331500604868649768048223631629197964766812123764274506265424510258883025309469509606335094085644097434878739224368358137870996886135546027777141764875800486672992988627953451149624887876594096602429164017659 (208 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=2000637320035808993697055259608552680766026546391 (pp49)
r2=665538222012582227572874483120069668775981901917367072590130796550579861106076124200485699597852164434457558042744395891185901704947746844449265678575448839549 (pp159)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 66.53 hours.
Factorization parameters were as follows:
n: 1331500604868649768048223631629197964766812123764274506265424510258883025309469509606335094085644097434878739224368358137870996886135546027777141764875800486672992988627953451149624887876594096602429164017659
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 2800
c0: 17
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
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 33245894
Relations: 9464296 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 30.34 hours.
Total relation processing time: 0.37 hours.
Pruned matrix : 8041567 x 8041792
Matrix solve time: 35.57 hours.
time per square root: 0.24 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 66.53 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

9142349257130428794482797769136043621230658334721512981551562002183300125632511541492026896512867150578722391925398172216771833654601863426577626307330036082643976563317134341776376913428944530996699<199>

420039111585962434163532132065422354841216524176810009797791894733151837503382881627963945561925042906831227470849866728760243406965772965435827243795519741042307526211<168>

126810789718510516214013632904089173<36>
3312329435991592964841028181472885764003244799672949958362923656624688714120412192106458072116819942477197381623302472046807283774007<133>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=750389809
Step 1 took 26686ms
Step 2 took 10416ms
********** Factor found in step 2: 126810789718510516214013632904089173
Found probable prime factor of 36 digits: 126810789718510516214013632904089173

507725519289800115373607873228991953020722396005438155692965865155232168366819160195900307901371331096419973356153228560386193057027709635675944771427330653497825687322818045822152205702081479231693656239<204>

734040923686420858362518621147881851840947461532883144415397579137987675846241212751266539885717035278552327472599991821854583602737508132208371876532140730204691439708160480361264342558166257146375051<201>

129949944585439793201042083288117952076583791137913656796629025045437845467553762502395924430917453662688250510145331691294540198003330911110038724255194796409679628662606266134347003858762340970316455146092751197260321<219>

9752699407871821664925113200975269940787182166492511320097526994078718216649251132009752699407871821664925113200975269940787182166492511320097526994078718216649251132009752699407871821664925113200975269940787182166492511320097527<229>

632853472436934770771021707495359407<36>

15410675350041157336699016178401394777822970446739757639885746249122850575533960139606192893649442006296420151111515461154868498179405673220141391423261609529161105443492914898927074788005519161<194>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=780328684
Step 1 took 130865ms
Step 2 took 36465ms
********** Factor found in step 2: 632853472436934770771021707495359407
Found probable prime factor of 36 digits: 632853472436934770771021707495359407

6774876637203539279082101420502063602409379181205699204959053391842653208766820890097048051605859999781757272729648489467453827776969661341615193127423518062028055781915228299806204799787260215371507919089<205>

100358422939068100358422939068100358422939068100358422939068100358422939068100358422939068100358422939068100358422939068100358422939068100358422939068100358422939068100358422939068100358422939068100358422939068100358422939068100358423<234>

7919828637112725439665875139908976679<37>

12671792223986180044493742898216129842007494843643446432695717315651144165580349603623838087552325880661952207266034185446880960568576765617081037031999134824403220494142505261828212986128965774737<197>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3736065387
Step 1 took 129066ms
Step 2 took 40068ms
********** Factor found in step 2: 7919828637112725439665875139908976679
Found probable prime factor of 37 digits: 7919828637112725439665875139908976679

170517285355455742178569996920045540044091997906972670309995865265806195362277072423618004725308144634917994965063158270938359272245869921704548204890998438856337592812309494187456744457736857558497915233227951464708467305787997<228>

25004710708892478850926379880495343319143160006036851585432612751152225999719590029907420058600325597054445078492465991360872450077648557004935751288858883236038217914267777233032294476905917096881644666986369753587506217689225380853<233>

86908128659317796521018668882630509849589958667368997563936248346116248200001665128520263446383591539072655166309327819076817354502892322332645217246602857188978477072138057091783957677596809111305016823627183049071009101419199<227>

788765754790765300546919274007<30>

110182431389116004963641003992034406046625761119044625026811924012804078767522053892166570040852358158645106136571181329278579962695168139450711508261400296887153798802164760415186690030943565314457<198>

GMP-ECM 6.4.3 [configured with GMP 5.0.5] [P-1]
Input number is 86908128659317796521018668882630509849589958667368997563936248346116248200001665128520263446383591539072655166309327819076817354502892322332645217246602857188978477072138057091783957677596809111305016823627183049071009101419199 (227 digits)
Using B1=30000000, B2=398684200492, polynomial x^1, x0=2270268000
Step 1 took 84288ms
Step 2 took 22277ms
********** Factor found in step 2: 788765754790765300546919274007
Found probable prime factor of 30 digits: 788765754790765300546919274007
Composite cofactor 110182431389116004963641003992034406046625761119044625026811924012804078767522053892166570040852358158645106136571181329278579962695168139450711508261400296887153798802164760415186690030943565314457 has 198 digits

110182431389116004963641003992034406046625761119044625026811924012804078767522053892166570040852358158645106136571181329278579962695168139450711508261400296887153798802164760415186690030943565314457<198>

5208903251345248354709648107937251751969<40>

21152712206866263770537007567043179360121471170404344278890863056575021186238911256155457713778120472272365891438100752842753035583768516391248106706285752953<158>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3684915611
Step 1 took 138796ms
Step 2 took 42124ms
********** Factor found in step 2: 5208903251345248354709648107937251751969
Found probable prime factor of 40 digits: 5208903251345248354709648107937251751969

21152712206866263770537007567043179360121471170404344278890863056575021186238911256155457713778120472272365891438100752842753035583768516391248106706285752953<158>

78959402461286840633904466553449278659687857913133621193519373<62>
267893519296036571150454947646822584018005678981192905555803294302671351768009197977114317714461<96>

Thu Dec 19 20:49:50 2024  
Thu Dec 19 20:49:50 2024  
Thu Dec 19 20:49:50 2024  Msieve v. 1.54 (SVN Unversioned directory)
Thu Dec 19 20:49:50 2024  random seeds: ca0d0127 df0842e9
Thu Dec 19 20:49:50 2024  MPI process 0 of 1
Thu Dec 19 20:49:50 2024  factoring 21152712206866263770537007567043179360121471170404344278890863056575021186238911256155457713778120472272365891438100752842753035583768516391248106706285752953 (158 digits)
Thu Dec 19 20:49:50 2024  searching for 15-digit factors
Thu Dec 19 20:49:51 2024  commencing number field sieve (158-digit input)
Thu Dec 19 20:49:51 2024  R0: -3848438894460406985010893557259
Thu Dec 19 20:49:51 2024  R1: 200111021454235983045889
Thu Dec 19 20:49:51 2024  A0: 128239158630725750245530852218776168008
Thu Dec 19 20:49:51 2024  A1: -88449000782276295292628095247424
Thu Dec 19 20:49:51 2024  A2: -13558878916612851299533259
Thu Dec 19 20:49:51 2024  A3: 6694255838829105981
Thu Dec 19 20:49:51 2024  A4: 292316797678
Thu Dec 19 20:49:51 2024  A5: 19320
Thu Dec 19 20:49:51 2024  skew 5308396.68, size 2.907e-15, alpha -7.079, combined = 2.171e-12 rroots = 3
Thu Dec 19 20:49:51 2024  
Thu Dec 19 20:49:51 2024  commencing relation filtering
Thu Dec 19 20:49:51 2024  setting target matrix density to 150.0
Thu Dec 19 20:49:51 2024  estimated available RAM is 64046.8 MB
Thu Dec 19 20:49:51 2024  commencing duplicate removal, pass 1
Thu Dec 19 20:56:49 2024  found 6425221 hash collisions in 121928648 relations
Thu Dec 19 20:57:05 2024  added 121649 free relations
Thu Dec 19 20:57:05 2024  commencing duplicate removal, pass 2
Thu Dec 19 20:57:35 2024  found 0 duplicates and 122050297 unique relations
Thu Dec 19 20:57:35 2024  memory use: 378.4 MB
Thu Dec 19 20:57:35 2024  reading ideals above 720000
Thu Dec 19 20:57:35 2024  commencing singleton removal, initial pass
Thu Dec 19 21:04:54 2024  memory use: 3012.0 MB
Thu Dec 19 21:04:54 2024  reading all ideals from disk
Thu Dec 19 21:04:56 2024  memory use: 4409.5 MB
Thu Dec 19 21:05:03 2024  keeping 134629782 ideals with weight <= 200, target excess is 719318
Thu Dec 19 21:05:13 2024  commencing in-memory singleton removal
Thu Dec 19 21:05:18 2024  begin with 122050297 relations and 134629782 unique ideals
Thu Dec 19 21:06:07 2024  reduce to 39564452 relations and 36803114 ideals in 24 passes
Thu Dec 19 21:06:07 2024  max relations containing the same ideal: 98
Thu Dec 19 21:06:23 2024  removing 4475243 relations and 4075243 ideals in 400000 cliques
Thu Dec 19 21:06:24 2024  commencing in-memory singleton removal
Thu Dec 19 21:06:26 2024  begin with 35089209 relations and 36803114 unique ideals
Thu Dec 19 21:06:47 2024  reduce to 34662516 relations and 32294863 ideals in 15 passes
Thu Dec 19 21:06:47 2024  max relations containing the same ideal: 90
Thu Dec 19 21:07:02 2024  removing 3246999 relations and 2846999 ideals in 400000 cliques
Thu Dec 19 21:07:02 2024  commencing in-memory singleton removal
Thu Dec 19 21:07:04 2024  begin with 31415517 relations and 32294863 unique ideals
Thu Dec 19 21:07:19 2024  reduce to 31157126 relations and 29186161 ideals in 12 passes
Thu Dec 19 21:07:19 2024  max relations containing the same ideal: 83
Thu Dec 19 21:07:32 2024  removing 2859482 relations and 2459482 ideals in 400000 cliques
Thu Dec 19 21:07:33 2024  commencing in-memory singleton removal
Thu Dec 19 21:07:34 2024  begin with 28297644 relations and 29186161 unique ideals
Thu Dec 19 21:07:49 2024  reduce to 28073827 relations and 26499985 ideals in 13 passes
Thu Dec 19 21:07:49 2024  max relations containing the same ideal: 78
Thu Dec 19 21:08:00 2024  removing 2659033 relations and 2259033 ideals in 400000 cliques
Thu Dec 19 21:08:01 2024  commencing in-memory singleton removal
Thu Dec 19 21:08:02 2024  begin with 25414794 relations and 26499985 unique ideals
Thu Dec 19 21:08:12 2024  reduce to 25197380 relations and 24020563 ideals in 10 passes
Thu Dec 19 21:08:12 2024  max relations containing the same ideal: 73
Thu Dec 19 21:08:23 2024  removing 2242598 relations and 1900190 ideals in 342408 cliques
Thu Dec 19 21:08:23 2024  commencing in-memory singleton removal
Thu Dec 19 21:08:24 2024  begin with 22954782 relations and 24020563 unique ideals
Thu Dec 19 21:08:32 2024  reduce to 22784547 relations and 21948067 ideals in 9 passes
Thu Dec 19 21:08:32 2024  max relations containing the same ideal: 70
Thu Dec 19 21:08:44 2024  relations with 0 large ideals: 3858
Thu Dec 19 21:08:44 2024  relations with 1 large ideals: 45222
Thu Dec 19 21:08:44 2024  relations with 2 large ideals: 390054
Thu Dec 19 21:08:44 2024  relations with 3 large ideals: 1752854
Thu Dec 19 21:08:44 2024  relations with 4 large ideals: 4436140
Thu Dec 19 21:08:44 2024  relations with 5 large ideals: 6526106
Thu Dec 19 21:08:44 2024  relations with 6 large ideals: 5683870
Thu Dec 19 21:08:44 2024  relations with 7+ large ideals: 3946443
Thu Dec 19 21:08:44 2024  commencing 2-way merge
Thu Dec 19 21:08:55 2024  reduce to 12588846 relation sets and 11752367 unique ideals
Thu Dec 19 21:08:55 2024  ignored 1 oversize relation sets
Thu Dec 19 21:08:55 2024  commencing full merge
Thu Dec 19 21:13:26 2024  memory use: 576.6 MB
Thu Dec 19 21:13:26 2024  found 533003 cycles, need 2926418
Thu Dec 19 21:13:26 2024  too few cycles, matrix probably cannot build
Thu Dec 19 21:13:26 2024  filtering wants 1000000 more relations
Thu Dec 19 21:13:26 2024  elapsed time 00:23:36
Thu Dec 19 21:13:26 2024  
Thu Dec 19 21:13:26 2024  
Thu Dec 19 21:13:26 2024  Msieve v. 1.54 (SVN Unversioned directory)
Thu Dec 19 21:13:26 2024  random seeds: 275ad236 954e4761
Thu Dec 19 21:13:26 2024  MPI process 0 of 1
Thu Dec 19 21:13:26 2024  factoring 21152712206866263770537007567043179360121471170404344278890863056575021186238911256155457713778120472272365891438100752842753035583768516391248106706285752953 (158 digits)
Thu Dec 19 21:13:26 2024  searching for 15-digit factors
Thu Dec 19 21:13:27 2024  commencing number field sieve (158-digit input)
Thu Dec 19 21:13:27 2024  R0: -3848438894460406985010893557259
Thu Dec 19 21:13:27 2024  R1: 200111021454235983045889
Thu Dec 19 21:13:27 2024  A0: 128239158630725750245530852218776168008
Thu Dec 19 21:13:27 2024  A1: -88449000782276295292628095247424
Thu Dec 19 21:13:27 2024  A2: -13558878916612851299533259
Thu Dec 19 21:13:27 2024  A3: 6694255838829105981
Thu Dec 19 21:13:27 2024  A4: 292316797678
Thu Dec 19 21:13:27 2024  A5: 19320
Thu Dec 19 21:13:27 2024  skew 5308396.68, size 2.907e-15, alpha -7.079, combined = 2.171e-12 rroots = 3
Thu Dec 19 21:13:27 2024  
Thu Dec 19 21:13:27 2024  commencing relation filtering
Thu Dec 19 21:13:27 2024  setting target matrix density to 140.0
Thu Dec 19 21:13:27 2024  estimated available RAM is 64046.8 MB
Thu Dec 19 21:13:27 2024  commencing duplicate removal, pass 1
Thu Dec 19 21:20:32 2024  found 6437638 hash collisions in 122050297 relations
Thu Dec 19 21:20:49 2024  commencing duplicate removal, pass 2
Thu Dec 19 21:21:19 2024  found 0 duplicates and 122050297 unique relations
Thu Dec 19 21:21:19 2024  memory use: 378.4 MB
Thu Dec 19 21:21:19 2024  reading ideals above 720000
Thu Dec 19 21:21:19 2024  commencing singleton removal, initial pass
Thu Dec 19 21:28:57 2024  memory use: 3012.0 MB
Thu Dec 19 21:29:00 2024  reading all ideals from disk
Thu Dec 19 21:29:01 2024  memory use: 4409.5 MB
Thu Dec 19 21:29:09 2024  keeping 134629782 ideals with weight <= 200, target excess is 719318
Thu Dec 19 21:29:20 2024  commencing in-memory singleton removal
Thu Dec 19 21:29:26 2024  begin with 122050297 relations and 134629782 unique ideals
Thu Dec 19 21:30:18 2024  reduce to 39564452 relations and 36803114 ideals in 24 passes
Thu Dec 19 21:30:18 2024  max relations containing the same ideal: 98
Thu Dec 19 21:30:35 2024  removing 4475243 relations and 4075243 ideals in 400000 cliques
Thu Dec 19 21:30:35 2024  commencing in-memory singleton removal
Thu Dec 19 21:30:37 2024  begin with 35089209 relations and 36803114 unique ideals
Thu Dec 19 21:30:59 2024  reduce to 34662516 relations and 32294863 ideals in 15 passes
Thu Dec 19 21:30:59 2024  max relations containing the same ideal: 90
Thu Dec 19 21:31:14 2024  removing 3246999 relations and 2846999 ideals in 400000 cliques
Thu Dec 19 21:31:14 2024  commencing in-memory singleton removal
Thu Dec 19 21:31:16 2024  begin with 31415517 relations and 32294863 unique ideals
Thu Dec 19 21:31:31 2024  reduce to 31157126 relations and 29186161 ideals in 12 passes
Thu Dec 19 21:31:31 2024  max relations containing the same ideal: 83
Thu Dec 19 21:31:44 2024  removing 2859482 relations and 2459482 ideals in 400000 cliques
Thu Dec 19 21:31:45 2024  commencing in-memory singleton removal
Thu Dec 19 21:31:46 2024  begin with 28297644 relations and 29186161 unique ideals
Thu Dec 19 21:32:02 2024  reduce to 28073827 relations and 26499985 ideals in 13 passes
Thu Dec 19 21:32:02 2024  max relations containing the same ideal: 78
Thu Dec 19 21:32:14 2024  removing 2659033 relations and 2259033 ideals in 400000 cliques
Thu Dec 19 21:32:14 2024  commencing in-memory singleton removal
Thu Dec 19 21:32:15 2024  begin with 25414794 relations and 26499985 unique ideals
Thu Dec 19 21:32:25 2024  reduce to 25197380 relations and 24020563 ideals in 10 passes
Thu Dec 19 21:32:25 2024  max relations containing the same ideal: 73
Thu Dec 19 21:32:36 2024  removing 2242598 relations and 1900190 ideals in 342408 cliques
Thu Dec 19 21:32:36 2024  commencing in-memory singleton removal
Thu Dec 19 21:32:37 2024  begin with 22954782 relations and 24020563 unique ideals
Thu Dec 19 21:32:46 2024  reduce to 22784547 relations and 21948067 ideals in 9 passes
Thu Dec 19 21:32:46 2024  max relations containing the same ideal: 70
Thu Dec 19 21:32:57 2024  relations with 0 large ideals: 3858
Thu Dec 19 21:32:57 2024  relations with 1 large ideals: 45222
Thu Dec 19 21:32:57 2024  relations with 2 large ideals: 390054
Thu Dec 19 21:32:57 2024  relations with 3 large ideals: 1752854
Thu Dec 19 21:32:57 2024  relations with 4 large ideals: 4436140
Thu Dec 19 21:32:57 2024  relations with 5 large ideals: 6526106
Thu Dec 19 21:32:57 2024  relations with 6 large ideals: 5683870
Thu Dec 19 21:32:57 2024  relations with 7+ large ideals: 3946443
Thu Dec 19 21:32:57 2024  commencing 2-way merge
Thu Dec 19 21:33:08 2024  reduce to 12588846 relation sets and 11752367 unique ideals
Thu Dec 19 21:33:08 2024  ignored 1 oversize relation sets
Thu Dec 19 21:33:08 2024  commencing full merge
Thu Dec 19 21:37:43 2024  memory use: 576.6 MB
Thu Dec 19 21:37:43 2024  found 533003 cycles, need 2926418
Thu Dec 19 21:37:43 2024  too few cycles, matrix probably cannot build
Thu Dec 19 21:37:43 2024  filtering wants 1000000 more relations
Thu Dec 19 21:37:43 2024  elapsed time 00:24:17
Thu Dec 19 21:37:43 2024  
Thu Dec 19 21:37:43 2024  
Thu Dec 19 21:37:43 2024  Msieve v. 1.54 (SVN Unversioned directory)
Thu Dec 19 21:37:43 2024  random seeds: 12b3ef9c ceea0e89
Thu Dec 19 21:37:43 2024  MPI process 0 of 1
Thu Dec 19 21:37:43 2024  factoring 21152712206866263770537007567043179360121471170404344278890863056575021186238911256155457713778120472272365891438100752842753035583768516391248106706285752953 (158 digits)
Thu Dec 19 21:37:43 2024  searching for 15-digit factors
Thu Dec 19 21:37:44 2024  commencing number field sieve (158-digit input)
Thu Dec 19 21:37:44 2024  R0: -3848438894460406985010893557259
Thu Dec 19 21:37:44 2024  R1: 200111021454235983045889
Thu Dec 19 21:37:44 2024  A0: 128239158630725750245530852218776168008
Thu Dec 19 21:37:44 2024  A1: -88449000782276295292628095247424
Thu Dec 19 21:37:44 2024  A2: -13558878916612851299533259
Thu Dec 19 21:37:44 2024  A3: 6694255838829105981
Thu Dec 19 21:37:44 2024  A4: 292316797678
Thu Dec 19 21:37:44 2024  A5: 19320
Thu Dec 19 21:37:44 2024  skew 5308396.68, size 2.907e-15, alpha -7.079, combined = 2.171e-12 rroots = 3
Thu Dec 19 21:37:44 2024  
Thu Dec 19 21:37:44 2024  commencing relation filtering
Thu Dec 19 21:37:44 2024  setting target matrix density to 130.0
Thu Dec 19 21:37:44 2024  estimated available RAM is 64046.8 MB
Thu Dec 19 21:37:44 2024  commencing duplicate removal, pass 1
Thu Dec 19 21:44:46 2024  found 6437638 hash collisions in 122050297 relations
Thu Dec 19 21:45:02 2024  commencing duplicate removal, pass 2
Thu Dec 19 21:45:32 2024  found 0 duplicates and 122050297 unique relations
Thu Dec 19 21:45:32 2024  memory use: 378.4 MB
Thu Dec 19 21:45:32 2024  reading ideals above 720000
Thu Dec 19 21:45:32 2024  commencing singleton removal, initial pass
Thu Dec 19 21:52:59 2024  memory use: 3012.0 MB
Thu Dec 19 21:52:59 2024  reading all ideals from disk
Thu Dec 19 21:53:01 2024  memory use: 4409.5 MB
Thu Dec 19 21:53:08 2024  keeping 134629782 ideals with weight <= 200, target excess is 719318
Thu Dec 19 21:53:18 2024  commencing in-memory singleton removal
Thu Dec 19 21:53:23 2024  begin with 122050297 relations and 134629782 unique ideals
Thu Dec 19 21:54:14 2024  reduce to 39564452 relations and 36803114 ideals in 24 passes
Thu Dec 19 21:54:14 2024  max relations containing the same ideal: 98
Thu Dec 19 21:54:31 2024  removing 4475243 relations and 4075243 ideals in 400000 cliques
Thu Dec 19 21:54:32 2024  commencing in-memory singleton removal
Thu Dec 19 21:54:34 2024  begin with 35089209 relations and 36803114 unique ideals
Thu Dec 19 21:54:55 2024  reduce to 34662516 relations and 32294863 ideals in 15 passes
Thu Dec 19 21:54:55 2024  max relations containing the same ideal: 90
Thu Dec 19 21:55:10 2024  removing 3246999 relations and 2846999 ideals in 400000 cliques
Thu Dec 19 21:55:10 2024  commencing in-memory singleton removal
Thu Dec 19 21:55:12 2024  begin with 31415517 relations and 32294863 unique ideals
Thu Dec 19 21:55:28 2024  reduce to 31157126 relations and 29186161 ideals in 12 passes
Thu Dec 19 21:55:28 2024  max relations containing the same ideal: 83
Thu Dec 19 21:55:43 2024  removing 2859482 relations and 2459482 ideals in 400000 cliques
Thu Dec 19 21:55:44 2024  commencing in-memory singleton removal
Thu Dec 19 21:55:45 2024  begin with 28297644 relations and 29186161 unique ideals
Thu Dec 19 21:56:01 2024  reduce to 28073827 relations and 26499985 ideals in 13 passes
Thu Dec 19 21:56:01 2024  max relations containing the same ideal: 78
Thu Dec 19 21:56:13 2024  removing 2659033 relations and 2259033 ideals in 400000 cliques
Thu Dec 19 21:56:13 2024  commencing in-memory singleton removal
Thu Dec 19 21:56:15 2024  begin with 25414794 relations and 26499985 unique ideals
Thu Dec 19 21:56:25 2024  reduce to 25197380 relations and 24020563 ideals in 10 passes
Thu Dec 19 21:56:25 2024  max relations containing the same ideal: 73
Thu Dec 19 21:56:36 2024  removing 2242598 relations and 1900190 ideals in 342408 cliques
Thu Dec 19 21:56:37 2024  commencing in-memory singleton removal
Thu Dec 19 21:56:38 2024  begin with 22954782 relations and 24020563 unique ideals
Thu Dec 19 21:56:46 2024  reduce to 22784547 relations and 21948067 ideals in 9 passes
Thu Dec 19 21:56:46 2024  max relations containing the same ideal: 70
Thu Dec 19 21:56:58 2024  relations with 0 large ideals: 3858
Thu Dec 19 21:56:58 2024  relations with 1 large ideals: 45222
Thu Dec 19 21:56:58 2024  relations with 2 large ideals: 390054
Thu Dec 19 21:56:58 2024  relations with 3 large ideals: 1752854
Thu Dec 19 21:56:58 2024  relations with 4 large ideals: 4436140
Thu Dec 19 21:56:58 2024  relations with 5 large ideals: 6526106
Thu Dec 19 21:56:58 2024  relations with 6 large ideals: 5683870
Thu Dec 19 21:56:58 2024  relations with 7+ large ideals: 3946443
Thu Dec 19 21:56:58 2024  commencing 2-way merge
Thu Dec 19 21:57:10 2024  reduce to 12588846 relation sets and 11752367 unique ideals
Thu Dec 19 21:57:10 2024  ignored 1 oversize relation sets
Thu Dec 19 21:57:10 2024  commencing full merge
Thu Dec 19 22:01:43 2024  memory use: 576.6 MB
Thu Dec 19 22:01:43 2024  found 533003 cycles, need 2926418
Thu Dec 19 22:01:43 2024  too few cycles, matrix probably cannot build
Thu Dec 19 22:01:44 2024  filtering wants 1000000 more relations
Thu Dec 19 22:01:44 2024  elapsed time 00:24:01
Thu Dec 19 22:01:44 2024  
Thu Dec 19 22:01:44 2024  
Thu Dec 19 22:01:44 2024  Msieve v. 1.54 (SVN Unversioned directory)
Thu Dec 19 22:01:44 2024  random seeds: 267bacf0 ebb2409f
Thu Dec 19 22:01:44 2024  MPI process 0 of 1
Thu Dec 19 22:01:44 2024  factoring 21152712206866263770537007567043179360121471170404344278890863056575021186238911256155457713778120472272365891438100752842753035583768516391248106706285752953 (158 digits)
Thu Dec 19 22:01:44 2024  searching for 15-digit factors
Thu Dec 19 22:01:44 2024  commencing number field sieve (158-digit input)
Thu Dec 19 22:01:44 2024  R0: -3848438894460406985010893557259
Thu Dec 19 22:01:44 2024  R1: 200111021454235983045889
Thu Dec 19 22:01:44 2024  A0: 128239158630725750245530852218776168008
Thu Dec 19 22:01:44 2024  A1: -88449000782276295292628095247424
Thu Dec 19 22:01:44 2024  A2: -13558878916612851299533259
Thu Dec 19 22:01:44 2024  A3: 6694255838829105981
Thu Dec 19 22:01:44 2024  A4: 292316797678
Thu Dec 19 22:01:44 2024  A5: 19320
Thu Dec 19 22:01:44 2024  skew 5308396.68, size 2.907e-15, alpha -7.079, combined = 2.171e-12 rroots = 3
Thu Dec 19 22:01:44 2024  
Thu Dec 19 22:01:44 2024  commencing relation filtering
Thu Dec 19 22:01:44 2024  setting target matrix density to 120.0
Thu Dec 19 22:01:44 2024  estimated available RAM is 64046.8 MB
Thu Dec 19 22:01:44 2024  commencing duplicate removal, pass 1
Thu Dec 19 22:08:39 2024  found 6437638 hash collisions in 122050297 relations
Thu Dec 19 22:08:55 2024  commencing duplicate removal, pass 2
Thu Dec 19 22:09:25 2024  found 0 duplicates and 122050297 unique relations
Thu Dec 19 22:09:25 2024  memory use: 378.4 MB
Thu Dec 19 22:09:25 2024  reading ideals above 720000
Thu Dec 19 22:09:25 2024  commencing singleton removal, initial pass
Thu Dec 19 22:16:39 2024  memory use: 3012.0 MB
Thu Dec 19 22:16:39 2024  reading all ideals from disk
Thu Dec 19 22:16:41 2024  memory use: 4409.5 MB
Thu Dec 19 22:16:48 2024  keeping 134629782 ideals with weight <= 200, target excess is 719318
Thu Dec 19 22:16:58 2024  commencing in-memory singleton removal
Thu Dec 19 22:17:03 2024  begin with 122050297 relations and 134629782 unique ideals
Thu Dec 19 22:17:52 2024  reduce to 39564452 relations and 36803114 ideals in 24 passes
Thu Dec 19 22:17:52 2024  max relations containing the same ideal: 98
Thu Dec 19 22:18:08 2024  removing 4475243 relations and 4075243 ideals in 400000 cliques
Thu Dec 19 22:18:09 2024  commencing in-memory singleton removal
Thu Dec 19 22:18:11 2024  begin with 35089209 relations and 36803114 unique ideals
Thu Dec 19 22:18:32 2024  reduce to 34662516 relations and 32294863 ideals in 15 passes
Thu Dec 19 22:18:32 2024  max relations containing the same ideal: 90
Thu Dec 19 22:18:46 2024  removing 3246999 relations and 2846999 ideals in 400000 cliques
Thu Dec 19 22:18:47 2024  commencing in-memory singleton removal
Thu Dec 19 22:18:48 2024  begin with 31415517 relations and 32294863 unique ideals
Thu Dec 19 22:19:03 2024  reduce to 31157126 relations and 29186161 ideals in 12 passes
Thu Dec 19 22:19:03 2024  max relations containing the same ideal: 83
Thu Dec 19 22:19:16 2024  removing 2859482 relations and 2459482 ideals in 400000 cliques
Thu Dec 19 22:19:17 2024  commencing in-memory singleton removal
Thu Dec 19 22:19:18 2024  begin with 28297644 relations and 29186161 unique ideals
Thu Dec 19 22:19:33 2024  reduce to 28073827 relations and 26499985 ideals in 13 passes
Thu Dec 19 22:19:33 2024  max relations containing the same ideal: 78
Thu Dec 19 22:19:44 2024  removing 2659033 relations and 2259033 ideals in 400000 cliques
Thu Dec 19 22:19:45 2024  commencing in-memory singleton removal
Thu Dec 19 22:19:46 2024  begin with 25414794 relations and 26499985 unique ideals
Thu Dec 19 22:19:56 2024  reduce to 25197380 relations and 24020563 ideals in 10 passes
Thu Dec 19 22:19:56 2024  max relations containing the same ideal: 73
Thu Dec 19 22:20:06 2024  removing 2242598 relations and 1900190 ideals in 342408 cliques
Thu Dec 19 22:20:07 2024  commencing in-memory singleton removal
Thu Dec 19 22:20:08 2024  begin with 22954782 relations and 24020563 unique ideals
Thu Dec 19 22:20:16 2024  reduce to 22784547 relations and 21948067 ideals in 9 passes
Thu Dec 19 22:20:16 2024  max relations containing the same ideal: 70
Thu Dec 19 22:20:27 2024  relations with 0 large ideals: 3858
Thu Dec 19 22:20:27 2024  relations with 1 large ideals: 45222
Thu Dec 19 22:20:27 2024  relations with 2 large ideals: 390054
Thu Dec 19 22:20:27 2024  relations with 3 large ideals: 1752854
Thu Dec 19 22:20:27 2024  relations with 4 large ideals: 4436140
Thu Dec 19 22:20:27 2024  relations with 5 large ideals: 6526106
Thu Dec 19 22:20:27 2024  relations with 6 large ideals: 5683870
Thu Dec 19 22:20:27 2024  relations with 7+ large ideals: 3946443
Thu Dec 19 22:20:27 2024  commencing 2-way merge
Thu Dec 19 22:20:38 2024  reduce to 12588846 relation sets and 11752367 unique ideals
Thu Dec 19 22:20:38 2024  ignored 1 oversize relation sets
Thu Dec 19 22:20:38 2024  commencing full merge
Thu Dec 19 22:23:24 2024  memory use: 1256.0 MB
Thu Dec 19 22:23:25 2024  found 5275648 cycles, need 5272567
Thu Dec 19 22:23:26 2024  weight of 5272567 cycles is about 633128850 (120.08/cycle)
Thu Dec 19 22:23:26 2024  distribution of cycle lengths:
Thu Dec 19 22:23:26 2024  1 relations: 427711
Thu Dec 19 22:23:26 2024  2 relations: 378258
Thu Dec 19 22:23:26 2024  3 relations: 388746
Thu Dec 19 22:23:26 2024  4 relations: 374732
Thu Dec 19 22:23:26 2024  5 relations: 362669
Thu Dec 19 22:23:26 2024  6 relations: 344225
Thu Dec 19 22:23:26 2024  7 relations: 315945
Thu Dec 19 22:23:26 2024  8 relations: 298512
Thu Dec 19 22:23:26 2024  9 relations: 274771
Thu Dec 19 22:23:26 2024  10+ relations: 2106998
Thu Dec 19 22:23:26 2024  heaviest cycle: 28 relations
Thu Dec 19 22:23:27 2024  commencing cycle optimization
Thu Dec 19 22:23:35 2024  start with 47515023 relations
Thu Dec 19 22:24:48 2024  pruned 1495171 relations
Thu Dec 19 22:24:48 2024  memory use: 1388.5 MB
Thu Dec 19 22:24:48 2024  distribution of cycle lengths:
Thu Dec 19 22:24:48 2024  1 relations: 427711
Thu Dec 19 22:24:48 2024  2 relations: 387613
Thu Dec 19 22:24:48 2024  3 relations: 402894
Thu Dec 19 22:24:48 2024  4 relations: 386359
Thu Dec 19 22:24:48 2024  5 relations: 374803
Thu Dec 19 22:24:48 2024  6 relations: 353666
Thu Dec 19 22:24:48 2024  7 relations: 325405
Thu Dec 19 22:24:48 2024  8 relations: 304873
Thu Dec 19 22:24:48 2024  9 relations: 280093
Thu Dec 19 22:24:48 2024  10+ relations: 2029150
Thu Dec 19 22:24:48 2024  heaviest cycle: 28 relations
Thu Dec 19 22:24:53 2024  RelProcTime: 1389
Thu Dec 19 22:24:54 2024  
Thu Dec 19 22:24:54 2024  commencing linear algebra
Thu Dec 19 22:24:54 2024  initialized process (0,0) of 1 x 1 grid
Thu Dec 19 22:24:55 2024  read 5272567 cycles
Thu Dec 19 22:25:01 2024  cycles contain 21932919 unique relations
Thu Dec 19 22:25:45 2024  read 21932919 relations
Thu Dec 19 22:26:23 2024  using 20 quadratic characters above 4294917295
Thu Dec 19 22:27:31 2024  building initial matrix
Thu Dec 19 22:30:14 2024  memory use: 2929.6 MB
Thu Dec 19 22:30:17 2024  read 5272567 cycles
Thu Dec 19 22:30:18 2024  matrix is 5272388 x 5272567 (2514.4 MB) with weight 763016969 (144.71/col)
Thu Dec 19 22:30:18 2024  sparse part has weight 595852905 (113.01/col)
Thu Dec 19 22:31:02 2024  filtering completed in 2 passes
Thu Dec 19 22:31:03 2024  matrix is 5271930 x 5272108 (2514.3 MB) with weight 762992299 (144.72/col)
Thu Dec 19 22:31:03 2024  sparse part has weight 595844656 (113.02/col)
Thu Dec 19 22:31:27 2024  matrix starts at (0, 0)
Thu Dec 19 22:31:27 2024  matrix is 5271930 x 5272108 (2514.3 MB) with weight 762992299 (144.72/col)
Thu Dec 19 22:31:27 2024  sparse part has weight 595844656 (113.02/col)
Thu Dec 19 22:31:27 2024  saving the first 240 matrix rows for later
Thu Dec 19 22:31:28 2024  matrix includes 256 packed rows
Thu Dec 19 22:31:29 2024  matrix is 5271690 x 5272108 (2242.4 MB) with weight 539826106 (102.39/col)
Thu Dec 19 22:31:29 2024  sparse part has weight 503468851 (95.50/col)
Thu Dec 19 22:31:29 2024  using block size 8192 and superblock size 294912 for processor cache size 12288 kB
Thu Dec 19 22:31:38 2024  commencing Lanczos iteration (8 threads)
Thu Dec 19 22:31:38 2024  memory use: 3224.8 MB
Thu Dec 19 22:31:50 2024  linear algebra at 0.0%, ETA 9h33m
Thu Dec 19 22:31:54 2024  checkpointing every 530000 dimensions
Fri Dec 20 08:19:29 2024  lanczos halted after 20655 iterations (dim = 5271688)
Fri Dec 20 08:19:49 2024  recovered 29 nontrivial dependencies
Fri Dec 20 08:19:49 2024  BLanczosTime: 35695
Fri Dec 20 08:19:49 2024  
Fri Dec 20 08:19:49 2024  commencing square root phase
Fri Dec 20 08:19:49 2024  handling dependencies 1 to 64
Fri Dec 20 08:19:49 2024  reading relations for dependency 1
Fri Dec 20 08:19:49 2024  read 2635940 cycles
Fri Dec 20 08:19:53 2024  cycles contain 10968608 unique relations
Fri Dec 20 08:20:17 2024  read 10968608 relations
Fri Dec 20 08:20:49 2024  multiplying 10968608 relations
Fri Dec 20 08:26:08 2024  multiply complete, coefficients have about 554.29 million bits
Fri Dec 20 08:26:10 2024  initial square root is modulo 93979
Fri Dec 20 08:32:33 2024  sqrtTime: 764
Fri Dec 20 08:32:33 2024  p62 factor: 78959402461286840633904466553449278659687857913133621193519373
Fri Dec 20 08:32:33 2024  p96 factor: 267893519296036571150454947646822584018005678981192905555803294302671351768009197977114317714461
Fri Dec 20 08:32:33 2024  elapsed time 10:30:49

cado-nfs, msieve 1.54

Ubuntu 24.04, i3-12100, 64GB DDR4

8606213145995927658831631675148303684587751722885086436460323306359686405802957892153012278407104676123075838812750446543905639281544276012586965952167985185078037135768071269793206730048417100601<196>

1267504613506138288061289961791893<34>
2642739703857300356455563866110013663<37>

2569260615490925327946744147708345461024394096866391078258890897408242936062390038318428355576044307617632234796609678006009739<127>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2179227566
Step 1 took 37730ms
Step 2 took 12688ms
********** Factor found in step 2: 1267504613506138288061289961791893
Found probable prime factor of 34 digits: 1267504613506138288061289961791893

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3243956928
Step 1 took 25004ms
Step 2 took 9556ms
********** Factor found in step 2: 2642739703857300356455563866110013663
Found probable prime factor of 37 digits: 2642739703857300356455563866110013663

2569260615490925327946744147708345461024394096866391078258890897408242936062390038318428355576044307617632234796609678006009739<127>

584969968891408714659003649903179541221107525674854261686391703<63>
4392123958705086472566448386159266253612979785444520403234759213<64>

N = 2569260615490925327946744147708345461024394096866391078258890897408242936062390038318428355576044307617632234796609678006009739 (127 digits)
Divisors found:
r1=584969968891408714659003649903179541221107525674854261686391703 (pp63)
r2=4392123958705086472566448386159266253612979785444520403234759213 (pp64)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 17.84 hours.
Factorization parameters were as follows:
n: 2569260615490925327946744147708345461024394096866391078258890897408242936062390038318428355576044307617632234796609678006009739
Y0: -3015995714340500510782556
Y1: 57137811476711
c0: -2234547401774581753341063918651
c1: 260195118782757654700087278
c2: 2893423194428963575342
c3: -5784420409615662
c4: -17487335739
c5: 10296
skew: 369988.05 
type: gnfs
Factor base limits: 6100000/6100000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 18641941
Relations: 2077564 relations
Pruned matrix : 1156768 x 1157001
Polynomial selection time: 0.00 hours.
Total sieving time: 16.55 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 1.07 hours.
time per square root: 0.15 hours.
Prototype def-par.txt line would be: gnfs,126,5,65,2000,1e-05,0.28,250,20,50000,3600,6100000,6100000,28,28,55,55,2.5,2.5,100000
total time: 17.84 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

368705278701496225406500906793372467072443197624495489319651077110041909848035346073263102629114941070048088314741803832027078440169631367441094824879472900815121193825243246653408579754439406376163380356274011401616803121<222>

11094260101629917120799168777623<32>
33233877277433558623839500828935266467305439458127517773488404440923309293676329156446189700614002246304172676459650657684922223582908587655266625123252068965888203759025212476364283359915127<191>

GMP-ECM 6.4.3 [configured with GMP 5.0.5] [ECM]
Input number is 368705278701496225406500906793372467072443197624495489319651077110041909848035346073263102629114941070048088314741803832027078440169631367441094824879472900815121193825243246653408579754439406376163380356274011401616803121 (222 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3330187532
Step 1 took 32183ms
********** Factor found in step 1: 11094260101629917120799168777623
Found probable prime factor of 32 digits: 11094260101629917120799168777623
Probable prime cofactor 33233877277433558623839500828935266467305439458127517773488404440923309293676329156446189700614002246304172676459650657684922223582908587655266625123252068965888203759025212476364283359915127 has 191 digits

28282935120201835464057404004823681423538269864280017035531821952679473295578755461531056776327863333083393662781550590933190364368679499200300769253961104211348471052152372265971965902353540393323010576238517270575654404006717<227>

12767203406106305535418404928066937214245877561172678265621714353816060824817063811399874378752639704722212228035093788932788980481826514301550182711256704163561125695054382452534980130921381036180698701791319858320241370330583101<230>

7489961641986173747935926560058642928038130789449131354526338796773945295756228272292275177379203861808486840658083654962785093327315635552106473308990007301397023948926442040224423116561583050566930788200710326010492888659162035869<232>

2635470930879103887161944260980352580094938448662286609431220018509222322242440418026457221456334604147392848419361770964007313548773929162407203633061559520306970944941918841034344171146396150375648622941269298828354522241065736867601<235>

41190753839649322548717389338171897838971597093515331955662467261542362821551002955366765197216752628811962692941924239484271828796783745273588148199862575770752991513831178421763008504972974821106903952014814048919659<218>

42555595286255615516481485542800355199237<41>

967928037725109620346185341804427331543268267529632127051122898486226237976832076861950474500405535112904598126877185950086860258931506012806264229053520876139999382701216825007<177>

GMP-ECM 7.0.6-dev [configured with GMP 6.3.0, --enable-asm-redc, --enable-assert] [ECM]
Tuned for x86_64/params.h
Running on sethtroisi-linux.sea.corp.google.com
Resuming P-1 residue saved by five@five with GMP-ECM 7.0.6-dev on Fri Nov 24 02:53:40 2023
Input number is 41190753839649322548717389338171897838971597093515331955662467261542362821551002955366765197216752628811962692941924239484271828796783745273588148199862575770752991513831178421763008504972974821106903952014814048919659 (218 digits)
Using mpz_mod
Using lmax = 67108864 with NTT which takes about 20736MB of memory
Using B1=10000000000-10000000000, B2=13494038602573560, polynomial x^1
P = 198843645, l = 67108864, s_1 = 33177600, k = s_2 = 2, m_1 = 20
Probability of finding a factor of n digits (assuming one exists):
20   25      30      35      40      45      50      55      60      65
0.82    0.56    0.31    0.14    0.057   0.02    0.0066  0.002   0.00053 0.00014
Step 1 took 0ms
Computing F from factored S_1 took 198117ms
Computing h took 24546ms
Computing DCT-I of h took 60298ms
Multi-point evaluation 1 of 2:
Computing g_i took 82932ms
Computing g*h took 126274ms
Computing gcd of coefficients and N took 32213ms
Step 2 took 526802ms
********** Factor found in step 2: 42555595286255615516481485542800355199237
Found prime factor of 41 digits: 42555595286255615516481485542800355199237
Composite cofactor 967928037725109620346185341804427331543268267529632127051122898486226237976832076861950474500405535112904598126877185950086860258931506012806264229053520876139999382701216825007 has 177 digits
Peak memory usage: 21757MB

GMP-ECM 7.0.6, ecm-db 0.1

1080 Ti for PM1 stage1

1252571008407373500146182663943888110937837192744544686579406846866194184383426128631691671535704306859708836047859436809968006179518987705508127019187494721925790892269779615043385809533137995269290441732535968334647387908055354554031959361<241>

113142638531201319091070764747337206968659774038231764446124671196128996413350041296099668139786643886253767171671130651977888595713431475646298813659923660801088854495380264018362604939815299756925244121235805704170507920300991<228>

12375172787149882847244996231177905835090234758174292714884066603547153597726002179893457608447724397411568961717279006375485143960428665154537527523844303453913516152539730756098697350385775930718974687479911190259142727<221>

2152834818289592727477945552808384553502443121527448605489713409246902243692136317193146265827276371015554462223015695626677529256064093583114455386227408401299481851102716593058937620611609607701981845912846941825098009727276578610340511576600131<247>

63296400135612556074490089325136910045265552982038925210922536514478086804369100719017178645356785197618144666072077520135735539969911953466919790192992112486259433247866385848407871234133026497484519075903253286994953091<221>

6746673671417128706691030283708498046231<40>

9381867749699125726946962392741170911324868391281067370425306435936573155862142551302965032532116559792597562393511910641067465625535913750498729740709280243065720956443527980243061<181>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=262377067
Step 1 took 82411ms
Step 2 took 25619ms
********** Factor found in step 2: 6746673671417128706691030283708498046231
Found probable prime factor of 40 digits: 6746673671417128706691030283708498046231
Composite cofactor 9381867749699125726946962392741170911324868391281067370425306435936573155862142551302965032532116559792597562393511910641067465625535913750498729740709280243065720956443527980243061 has 181 digits

566421749947858854982478350045809359027033084896707936559954831911311300741021254369286347030827301447430093947116033316118158004560908847973009194441056028618863503079817118600420406314550585811580209466809000360689278627511549440628177904170745409<249>

1647527256318951035149145181878731924254195852727935363471908223918088434213278670182819980733953290274613466765418874189533186882978654261014901384728717731189233994636906397550978696992351555248889826931548221398688797422340099<229>

837518872048867981216079911284148513856613117928668452536531993268159351140974123267049514073112362622871108519771113865296806565871509389482078124336989375828506863311881082372699053278164441945276217017581133<210>

2553984241340741767622055034080240179146868652841589514429136921148283169168184411399957158435198399143817595163953406332202334416032863365674581871816686508239795474230942256770598201870972325038452644373217<208>

5077151027055974629041133427547123713252736824661622843509566866613940453250690370144074496021589786904536994742555713436819814756880895059658247172720453025482456729663049976265225582625292890416458571472115769777964761997031353529115892663152298991103<253>

873053034195361736409136506449726386297370241644659006083716102460752944252987406517427577097521447732122131879921676710900908907318152885917370853340453514393290544507768725003891799106496471991689274182312637120623125223199424216077688427071533<246>

1586615618977141676748758049855243597568452644225325143901858865401353400148243065565226150947671520484086673917252716064687423907728050892341581522532045967223211820185431314874531517427553821669180696840196888926746682004203739001800269660657<244>

266418485855530972759489157599052344881609220043650929945470160120680841952094855253659689048195556289874375892366089742239693828916843751489862313502164948909718664340025618473916431417213486399360270352167993859286917671<222>

6349172296390671105119557219409096393930140788228445594359305120403132782297361394894691022985074299999065102188088651555541919908365328464293173935460090980858185360447395695554603305260445251228226946973965199049764512978904671825315249689003<244>

3380380073437066609034735769107775743695396483489047260782759001408556508774122062062363524103241223726507979655162687553340724435349577330428074941742270635356240563282084215045826769641507897476197469134465060677386608798306606995731781<238>

93542654385851133114862392713545182382767528912152759949341293992288936231962148657118407794283455982770170022183162751905411335616922670511595824891864633065797098962260877234146323199781747347845839403086495806605244535266611176028209890803453456757694223<257>

1032109150178909546050007646103891261861<40>
90632521153054509688245370975195029321817228687329302867843871637017262902206169128572219278632976635726121305087152012187187327748768572906078302578338468915846188964123256970721195193856885483580924085469406428942243<218>

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=459374396
Step 1 took 68075ms
Step 2 took 26268ms
********** Factor found in step 2: 1032109150178909546050007646103891261861
Found probable prime factor of 40 digits: 1032109150178909546050007646103891261861
Probable prime cofactor has 218 digits

217223149422149124706508641820295760496834644138586881443029184564523355327314199859221999569894303659230457685622277077730435500768037713170402339201889<153>

50369849323959027626733898081045456390053836218573<50>

4312563018107427774528637706509631894335836046876632977311998770168014143013805151267446086431880920293<103>

Using B1=43000000-43000000, B2=240490660426, polynomial Dickson(12), sigma=3:1896106705
Step 1 took 0ms
Step 2 took 50187ms
********** Factor found in step 2: 50369849323959027626733898081045456390053836218573
Found probable prime factor of 50 digits: 50369849323959027626733898081045456390053836218573
Composite cofactor 4312563018107427774528637706509631894335836046876632977311998770168014143013805151267446086431880920293 has 103 digits

GMP-ECM 7.0-dev [configured with MPIR 2.7.0, --enable-gpu, --enable-openmp] [ECM]

4312563018107427774528637706509631894335836046876632977311998770168014143013805151267446086431880920293<103>

3217014050120024680384963835602481843459893<43>
1340548393920296643406881454199848051704258157987024288322801<61>

N=4312563018107427774528637706509631894335836046876632977311998770168014143013805151267446086431880920293
  ( 103 digits)
Divisors found:
 r1=3217014050120024680384963835602481843459893 (pp43)
 r2=1340548393920296643406881454199848051704258157987024288322801 (pp61)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 4.26 hours.
Scaled time: 8.99 units (timescale=2.110).
Factorization parameters were as follows:
n: 4312563018107427774528637706509631894335836046876632977311998770168014143013805151267446086431880920293
skew: 458848.61
c0: 267568034795528534513622285
c1: 307040838164140636318
c2: -11860815825404393
c3: -63450233882
c4: 19992
Y0: -3832398698379842918142404
Y1: 9800222258461
rlim: 2220000
alim: 2220000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 100000
Factor base limits: 2220000/2220000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1110000, 1610001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 273007 x 273234
Total sieving time: 4.11 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,102,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2220000,2220000,26,26,52,52,2.5,2.5,100000
total time: 4.26 hours.
 --------- CPU info (if available) ----------

156585495829434595725857955932052479301738666651622188803373521021279118326862976146515325760663795289747835933387035134662856030826181294081978153301197608270183986307881187463111303531268396602355516220036542137823823479523377110031987303207543<246>

5379011535804511401518510349299477521686420897400947754977514722857478178125863163944536838740457482207742745412571420262688323196946060881317304539840671070351482003263308879817562791851521710606110730986133671847630813<220>

27123665848571707338249073149803374033<38>

198314326899428393428207579897444386744377721581729968649750307619777633273332192757671584096364390774238791738777941576519235610916965291467351758003666641594165689412614321909315661<183>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2190412620
Step 1 took 84931ms
Step 2 took 23836ms
********** Factor found in step 2: 27123665848571707338249073149803374033
Found probable prime factor of 38 digits: 27123665848571707338249073149803374033
Composite cofactor 198314326899428393428207579897444386744377721581729968649750307619777633273332192757671584096364390774238791738777941576519235610916965291467351758003666641594165689412614321909315661 has 183 digits

391295440273301361459348524516490436348639683557433637441401769031415253720295582061925969478202012130586640810997642590078896799243057119529811511093846782274627116103929866406237088755072533879697975637112913637662733<219>

29463849763913994245630044970069647854242044770642082425987827532598571949920263255428424862234632376351407948003982791911173730447367243623875317260753039390829407126617086934460589291217884621429935157146442069843440645004218931<230>

30218797389849276882675257668077126984607913954235550178922613865258244264982089245932698983021687038216558108559467196767319948157910339692056162913374490180996836399559691994617400466130655213570699479582578570326937240204288834859436177990809<245>

51455937286243470665890836681393254911817<41>
587275229712473740273517473655375809757630774790938012370012789098304275301547861537859676948961434221422502595837813947114334401367350558045267376282116979165810494218399774753609186028482940523544877777<204>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2807272450
Step 1 took 105684ms
Step 2 took 31771ms
********** Factor found in step 2: 51455937286243470665890836681393254911817
Found probable prime factor of 41 digits: 51455937286243470665890836681393254911817

2163235161380560465000371169047865655875599298506812644779163165260994565970812268519018605694590646596253351347553616628102260112302794328587630122273422545041681741605467239343897472311268456214712647005387099037039707653854959499910149757167663248516151458447200769<268>

5339813886967180897910532911732464100367562860460261703811849582681936612429480211810532734814344360174986924595189981840426294776993227865642983683174924652886726216930638601221377126029944944253086061100517819<211>

606832071276367714657660807172596923970115817628170596336863610047714894709467303715518085890037429304642131495843233746689850654400179231780812792801307383936982080515290361761606600875824962146070577133334344317448787747233937439<231>