187662770063198897254648711120578344957882722203045389305266787504281116290486371530577287601901816312256753988043095526936254851027699363461<141>

2320556509695116444764087997770288474407797<43>
80869726412245288072803531579541476425890112919981517500054469876923320277924027316762711210159313<98>

Number: n
N=187662770063198897254648711120578344957882722203045389305266787504281116290486371530577287601901816312256753988043095526936254851027699363461
  ( 141 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=2320556509695116444764087997770288474407797 (pp43)
 r2=80869726412245288072803531579541476425890112919981517500054469876923320277924027316762711210159313 (pp98)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 38.23 hours.
Scaled time: 50.65 units (timescale=1.325).
Factorization parameters were as follows:
name: KA_4_155_9
n: 187662770063198897254648711120578344957882722203045389305266787504281116290486371530577287601901816312256753988043095526936254851027699363461
skew: 1.00
deg: 5
c5: 40
c0: 41
m: 10000000000000000000000000000000
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, 1600001)
Primes: RFBsize:216816, AFBsize:215452, largePrimes:7235441 encountered
Relations: rels:6753303, finalFF:539005
Max relations in full relation-set: 48
Initial matrix: 432334 x 539005 with sparse part having weight 48979549.
Pruned matrix : 350527 x 352752 with weight 27546472.
Total sieving time: 33.84 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 4.08 hours.
Total square root time: 0.08 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 38.23 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

23900331890454200261779183585229763492153402399157688484259917920736681255730620727738466525300767323925829369751318965287932481166917789511<140>

260221357440021455388738938889122776721896955085397138037228688252251<69>
91846157923309577470616859933689268561584874926674871536459883391952261<71>

Number: n
N=23900331890454200261779183585229763492153402399157688484259917920736681255730620727738466525300767323925829369751318965287932481166917789511
  ( 140 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=260221357440021455388738938889122776721896955085397138037228688252251 (pp69)
 r2=91846157923309577470616859933689268561584874926674871536459883391952261 (pp71)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 30.44 hours.
Scaled time: 44.13 units (timescale=1.450).
Factorization parameters were as follows:
name: KA_4_156_9
n: 23900331890454200261779183585229763492153402399157688484259917920736681255730620727738466525300767323925829369751318965287932481166917789511
skew: 1.27
deg: 5
c5: 25
c0: 82
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, 1400001)
Primes: RFBsize:216816, AFBsize:217007, largePrimes:6992395 encountered
Relations: rels:6471718, finalFF:493995
Max relations in full relation-set: 28
Initial matrix: 433887 x 493995 with sparse part having weight 33421745.
Pruned matrix : 384649 x 386882 with weight 22052690.
Total sieving time: 26.58 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 3.55 hours.
Total square root time: 0.13 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 30.44 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

6349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349207<157>

707520375170029031923901699222657<33>
8973884812406325767083604587285833707833311930101241764893886063877897082565108219201301770248476197905635918804130248304151<124>

Number: 44449_158
N=6349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349207
  ( 157 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=707520375170029031923901699222657 (pp33)
 r2=8973884812406325767083604587285833707833311930101241764893886063877897082565108219201301770248476197905635918804130248304151 (pp124)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 71.54 hours.
Scaled time: 48.29 units (timescale=0.675).
Factorization parameters were as follows:
name: 44449_158
n: 6349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349207
m: 20000000000000000000000000000000
c5: 125
c0: 41
skew: 1
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2000000, 3600001)
Primes: RFBsize:283146, AFBsize:283743, largePrimes:5731791 encountered
Relations: rels:5827031, finalFF:640293
Max relations in full relation-set: 0
Initial matrix: 566954 x 640293 with sparse part having weight 33663472.
Pruned matrix : 507252 x 510150 with weight 25148829.
Total sieving time: 61.49 hours.
Total relation processing time: 0.49 hours.
Matrix solve time: 9.35 hours.
Time per square root: 0.20 hours.
Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 71.54 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin

845727459512995808632831376766004857195411667709864917200855795181161872981252627569069291871505578807711339836312388193111282282137<132>

218551920024031168927773697661809538745109102567<48>
3869686706115428835860198962763376764473465747888783930870949253002451781545174371711<85>

Number: 44449_159
N=845727459512995808632831376766004857195411667709864917200855795181161872981252627569069291871505578807711339836312388193111282282137
  ( 132 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=218551920024031168927773697661809538745109102567 (pp48)
 r2=3869686706115428835860198962763376764473465747888783930870949253002451781545174371711 (pp85)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 27.95 hours.
Scaled time: 59.92 units (timescale=2.144).
Factorization parameters were as follows:
n: 845727459512995808632831376766004857195411667709864917200855795181161872981252627569069291871505578807711339836312388193111282282137
m: 100000000000000000000000000000000
c5: 2
c0: 205
skew: 2.52
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2000000, 3600001)
Primes: RFBsize:283146, AFBsize:283793, largePrimes:5629726 encountered
Relations: rels:5660465, finalFF:657003
Max relations in full relation-set: 28
Initial matrix: 567004 x 657003 with sparse part having weight 41479342.
Pruned matrix : 495662 x 498561 with weight 28049677.
Total sieving time: 26.61 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.20 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 27.95 hours.
 --------- CPU info (if available) ----------

Core 2 Quad Q6600

90972641803209054654671943300688174982440708379689549892031878497530778160414254242799972773189906368931128996322659002194437655223<131>

661800895912546464100385070921509481515371228023099756833<57>
137462252416217059157918563636603097318468429817984026396850545706670319831<75>

Number: 44449_161
N=90972641803209054654671943300688174982440708379689549892031878497530778160414254242799972773189906368931128996322659002194437655223
  ( 131 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=661800895912546464100385070921509481515371228023099756833 (pp57)
 r2=137462252416217059157918563636603097318468429817984026396850545706670319831 (pp75)
Version: GGNFS-0.77.1-20060722-nocona
Total time: 83.42 hours.
Scaled time: 166.08 units (timescale=1.991).
Factorization parameters were as follows:
name: 44449_161
n: 90972641803209054654671943300688174982440708379689549892031878497530778160414254242799972773189906368931128996322659002194437655223
m: 100000000000000000000000000000000
c5: 40
c0: 41
skew: 1
type: snfs
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2250000, 4950001)
Primes: RFBsize:315948, AFBsize:314247, largePrimes:6029218 encountered
Relations: rels:6254224, finalFF:838574
Max relations in full relation-set: 32
Initial matrix: 630261 x 838574 with sparse part having weight 63869247.
Pruned matrix : 474489 x 477704 with weight 46325545.
Total sieving time: 79.60 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 3.37 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,48,48,2.3,2.3,100000
total time: 83.42 hours.
 --------- CPU info (if available) ----------

by ggnfs-svn,  Core 2 Duo E6300 1.86GHz, Windows Vista)

6044189357049077446644490449750213711247494210862836335124304401771018375433568259682738692991215544680682817617072084546641347382952697657269<142>

1281570790751209261870606118509601319231489235378717382008982025914249<70>
4716235264308885999918029689628367436288591731976079138987327132460971981<73>

Number: n
N=6044189357049077446644490449750213711247494210862836335124304401771018375433568259682738692991215544680682817617072084546641347382952697657269
  ( 142 digits)
SNFS difficulty: 165 digits.
Divisors found:

Fri Feb 01 03:34:11 2008  prp70 factor: 1281570790751209261870606118509601319231489235378717382008982025914249
Fri Feb 01 03:34:11 2008  prp73 factor: 4716235264308885999918029689628367436288591731976079138987327132460971981
Fri Feb 01 03:34:11 2008  elapsed time 01:59:28 (Msieve 1.33)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 60.53 hours.
Scaled time: 106.11 units (timescale=1.753).
Factorization parameters were as follows:
name: KA_4_164_9
n: 6044189357049077446644490449750213711247494210862836335124304401771018375433568259682738692991215544680682817617072084546641347382952697657269
type: snfs
skew: 1.59
deg: 5
c5: 4
c0: 41
m: 1000000000000000000000000000000000
rlim: 3200000
alim: 3200000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 2900119)
Primes: RFBsize:230209, AFBsize:230843, largePrimes:7459245 encountered
Relations: rels:6912771, finalFF:514265
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 60.28 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,3200000,3200000,28,28,48,48,2.5,2.5,100000
total time: 60.53 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

741153690269829344816607101538581813580363824537014619808453740497332331010205538207186533049730298407091798388514224200756023662978131538180140673484311<153>

663251634063362739752196199073426751298383313952477786487187756107043583<72>
1117454752021047188523688656180078402295445713630605513644151002858054731527619817<82>

Number: n
N=741153690269829344816607101538581813580363824537014619808453740497332331010205538207186533049730298407091798388514224200756023662978131538180140673484311
  ( 153 digits)
SNFS difficulty: 168 digits.
Divisors found:

Sat Jul 05 01:16:13 2008  prp72 factor: 663251634063362739752196199073426751298383313952477786487187756107043583
Sat Jul 05 01:16:13 2008  prp82 factor: 1117454752021047188523688656180078402295445713630605513644151002858054731527619817
Sat Jul 05 01:16:13 2008  elapsed time 01:38:25 (Msieve 1.36)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 59.64 hours.
Scaled time: 109.07 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_4_167_9
n: 741153690269829344816607101538581813580363824537014619808453740497332331010205538207186533049730298407091798388514224200756023662978131538180140673484311
skew: 0.80
deg: 5
c5: 125
c0: 41
m: 2000000000000000000000000000000000
type: snfs
rlim: 5500000
alim: 5500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 3600221)
Primes: RFBsize:380800, AFBsize:381398, largePrimes:8025714 encountered
Relations: rels:7629445, finalFF:796763
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 59.44 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,5500000,5500000,28,28,48,48,2.5,2.5,100000
total time: 59.64 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

12403037455609799575206813257751283380841275957391153538977388063043774573103258275233257298220454720621344967752277641859121318792311574674879151233403441<155>

11076321807868186689085681697297<32>
1119779442197062735519303413885522946726562495949180557564827738640396690905680513942218528205584546242743238956698113861153<124>

GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 12403037455609799575206813257751283380841275957391153538977388063043774573103258275233257298220454720621344967752277641859121318792311574674879151233403441 (155 digits)
Using B1=784000, B2=696767622, polynomial Dickson(3), sigma=1997601525
Step 1 took 9391ms
Step 2 took 3984ms
********** Factor found in step 2: 11076321807868186689085681697297
Found probable prime factor of 32 digits: 11076321807868186689085681697297
Probable prime cofactor 1119779442197062735519303413885522946726562495949180557564827738640396690905680513942218528205584546242743238956698113861153 has 124 digits

181313658131989943441258764484339625123417070121773386987662877864995789013694399620305624000866286260460494986828293843499167366857735802821582162247<150>

487196685878876428730725467376703<33>
398845555197803023949777099556339851<36>

933085494921109827158710069754359573279758458138952040836991150992465132078559499<81>

# two ECM factors:
#
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=3260962697
Step 1 took 14297ms
Step 2 took 12741ms
********** Factor found in step 2: 398845555197803023949777099556339851
Found probable prime factor of 36 digits: 398845555197803023949777099556339851

Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=2979693243
Step 1 took 16485ms
Step 2 took 12965ms
********** Factor found in step 2: 487196685878876428730725467376703
Found probable prime factor of 33 digits: 487196685878876428730725467376703

GMP-ECM 6.2.1

933085494921109827158710069754359573279758458138952040836991150992465132078559499<81>

2449842135058899424657127232517211<34>
380875764020883110409902511467730416896409998609<48>

Tue Sep 23 11:56:13 2008  Msieve v. 1.37
Tue Sep 23 11:56:13 2008  random seeds: 53d42b0a 75560bf7
Tue Sep 23 11:56:13 2008  factoring 933085494921109827158710069754359573279758458138952040836991150992465132078559499 (81 digits)
Tue Sep 23 11:56:13 2008  searching for 15-digit factors
Tue Sep 23 11:56:14 2008  commencing quadratic sieve (81-digit input)
Tue Sep 23 11:56:14 2008  using multiplier of 1
Tue Sep 23 11:56:14 2008  using 64kb Opteron sieve core
Tue Sep 23 11:56:14 2008  sieve interval: 6 blocks of size 65536
Tue Sep 23 11:56:14 2008  processing polynomials in batches of 17
Tue Sep 23 11:56:14 2008  using a sieve bound of 1325923 (50864 primes)
Tue Sep 23 11:56:14 2008  using large prime bound of 127288608 (26 bits)
Tue Sep 23 11:56:14 2008  using trial factoring cutoff of 27 bits
Tue Sep 23 11:56:14 2008  polynomial 'A' values have 10 factors
Tue Sep 23 12:08:02 2008  51110 relations (26192 full + 24918 combined from 272885 partial), need 50960
Tue Sep 23 12:08:02 2008  begin with 299077 relations
Tue Sep 23 12:08:02 2008  reduce to 72955 relations in 2 passes
Tue Sep 23 12:08:02 2008  attempting to read 72955 relations
Tue Sep 23 12:08:03 2008  recovered 72955 relations
Tue Sep 23 12:08:03 2008  recovered 63005 polynomials
Tue Sep 23 12:08:03 2008  attempting to build 51110 cycles
Tue Sep 23 12:08:03 2008  found 51110 cycles in 1 passes
Tue Sep 23 12:08:03 2008  distribution of cycle lengths:
Tue Sep 23 12:08:03 2008     length 1 : 26192
Tue Sep 23 12:08:03 2008     length 2 : 24918
Tue Sep 23 12:08:03 2008  largest cycle: 2 relations
Tue Sep 23 12:08:03 2008  matrix is 50864 x 51110 (7.6 MB) with weight 1580108 (30.92/col)
Tue Sep 23 12:08:03 2008  sparse part has weight 1580108 (30.92/col)
Tue Sep 23 12:08:03 2008  filtering completed in 3 passes
Tue Sep 23 12:08:03 2008  matrix is 36125 x 36188 (5.9 MB) with weight 1256316 (34.72/col)
Tue Sep 23 12:08:03 2008  sparse part has weight 1256316 (34.72/col)
Tue Sep 23 12:08:03 2008  saving the first 48 matrix rows for later
Tue Sep 23 12:08:03 2008  matrix is 36077 x 36188 (4.5 MB) with weight 995457 (27.51/col)
Tue Sep 23 12:08:03 2008  sparse part has weight 804953 (22.24/col)
Tue Sep 23 12:08:03 2008  matrix includes 64 packed rows
Tue Sep 23 12:08:03 2008  using block size 14475 for processor cache size 1024 kB
Tue Sep 23 12:08:04 2008  commencing Lanczos iteration
Tue Sep 23 12:08:04 2008  memory use: 4.2 MB
Tue Sep 23 12:08:08 2008  lanczos halted after 572 iterations (dim = 36076)
Tue Sep 23 12:08:08 2008  recovered 17 nontrivial dependencies
Tue Sep 23 12:08:08 2008  prp34 factor: 2449842135058899424657127232517211
Tue Sep 23 12:08:08 2008  prp48 factor: 380875764020883110409902511467730416896409998609
Tue Sep 23 12:08:08 2008  elapsed time 00:11:55

Msieve-1.37 QS

Opteron-2.8GHz; Linux x86_64

17313768774618014976409990044582954594641388564255724364801108081201575552958490239362853309094057048868112366359347270917196900835389343375319222611782019651127559191447<170>

3690261951417434928982708714910132460751<40>
4691745193852098076874265382218613551734230024345277073373087798519293567157971656250985794207394773191162000531186646913618048697<130>

GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 17313768774618014976409990044582954594641388564255724364801108081201575552958490239362853309094057048868112366359347270917196900835389343375319222611782019651127559191447 (170 digits)
Using B1=1820000, B2=2140281790, polynomial Dickson(6), sigma=3280892939
Step 1 took 25375ms
Step 2 took 9563ms
********** Factor found in step 2: 3690261951417434928982708714910132460751
Found probable prime factor of 40 digits: 3690261951417434928982708714910132460751
Probable prime cofactor 4691745193852098076874265382218613551734230024345277073373087798519293567157971656250985794207394773191162000531186646913618048697 has 130 digits

310301003285986233945770521483768041995208743521538659436148740671844402113817693226938681342018733197849879944157831160359678416877346909808389101768060696584760063<165>

11103172231868232665208082632227<32>

27947058444735539012965143631675640717984624676970856746909322865014587987121750699821648616857592608427104241739512228516510591633269<134>

Input number is 310301003285986233945770521483768041995208743521538659436148740671844402113817693226938681342018733197849879944157831160359678416877346909808389101768060696584760063 (165 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=2624522949
Step 1 took 8241ms
Step 2 took 5276ms
********** Factor found in step 2: 11103172231868232665208082632227
Found probable prime factor of 32 digits: 11103172231868232665208082632227
Composite cofactor 27947058444735539012965143631675640717984624676970856746909322865014587987121750699821648616857592608427104241739512228516510591633269 has 134 digits

GMP-ECM 6.2.1

27947058444735539012965143631675640717984624676970856746909322865014587987121750699821648616857592608427104241739512228516510591633269<134>

38399983418304274738274024976546740584967<41>
727788294601551888099993904173706931765025315072705833126180244134209183779214775385936665507<93>

Tue Mar 17 12:36:41 2009  Msieve v. 1.39
Tue Mar 17 12:36:41 2009  random seeds: 9f714800 598b1444
Tue Mar 17 12:36:41 2009  factoring 27947058444735539012965143631675640717984624676970856746909322865014587987121750699821648616857592608427104241739512228516510591633269 (134 digits)
Tue Mar 17 12:36:43 2009  searching for 15-digit factors
Tue Mar 17 12:36:44 2009  commencing number field sieve (134-digit input)
Tue Mar 17 12:36:44 2009  R0: -100000000000000000000000000000000000
Tue Mar 17 12:36:44 2009  R1:  1
Tue Mar 17 12:36:44 2009  A0:  205
Tue Mar 17 12:36:44 2009  A1:  0
Tue Mar 17 12:36:44 2009  A2:  0
Tue Mar 17 12:36:44 2009  A3:  0
Tue Mar 17 12:36:44 2009  A4:  0
Tue Mar 17 12:36:44 2009  A5:  2
Tue Mar 17 12:36:44 2009  skew 1.00, size 4.781583e-12, alpha 0.465368, combined = 4.094518e-12
Tue Mar 17 12:36:44 2009  
Tue Mar 17 12:36:44 2009  commencing relation filtering
Tue Mar 17 12:36:44 2009  commencing duplicate removal, pass 1
Tue Mar 17 12:39:42 2009  found 2143411 hash collisions in 17416460 relations
Tue Mar 17 12:40:21 2009  added 671889 free relations
Tue Mar 17 12:40:21 2009  commencing duplicate removal, pass 2
Tue Mar 17 12:41:43 2009  found 1937728 duplicates and 16150621 unique relations
Tue Mar 17 12:41:43 2009  memory use: 94.6 MB
Tue Mar 17 12:41:43 2009  reading rational ideals above 7012352
Tue Mar 17 12:41:43 2009  reading algebraic ideals above 7012352
Tue Mar 17 12:41:43 2009  commencing singleton removal, pass 1
Tue Mar 17 12:44:56 2009  relations with 0 large ideals: 244208
Tue Mar 17 12:44:56 2009  relations with 1 large ideals: 1795043
Tue Mar 17 12:44:56 2009  relations with 2 large ideals: 5122439
Tue Mar 17 12:44:56 2009  relations with 3 large ideals: 5971131
Tue Mar 17 12:44:56 2009  relations with 4 large ideals: 2369746
Tue Mar 17 12:44:56 2009  relations with 5 large ideals: 119
Tue Mar 17 12:44:56 2009  relations with 6 large ideals: 647935
Tue Mar 17 12:44:56 2009  relations with 7+ large ideals: 0
Tue Mar 17 12:44:56 2009  16150621 relations and about 15885771 large ideals
Tue Mar 17 12:44:56 2009  commencing singleton removal, pass 2
Tue Mar 17 12:48:09 2009  found 6116062 singletons
Tue Mar 17 12:48:09 2009  current dataset: 10034559 relations and about 7925909 large ideals
Tue Mar 17 12:48:09 2009  commencing singleton removal, pass 3
Tue Mar 17 12:50:11 2009  found 1790905 singletons
Tue Mar 17 12:50:11 2009  current dataset: 8243654 relations and about 6034970 large ideals
Tue Mar 17 12:50:11 2009  commencing singleton removal, pass 4
Tue Mar 17 12:52:06 2009  found 425142 singletons
Tue Mar 17 12:52:06 2009  current dataset: 7818512 relations and about 5601775 large ideals
Tue Mar 17 12:52:07 2009  commencing singleton removal, final pass
Tue Mar 17 12:54:13 2009  memory use: 130.9 MB
Tue Mar 17 12:54:13 2009  commencing in-memory singleton removal
Tue Mar 17 12:54:14 2009  begin with 7818512 relations and 6159339 unique ideals
Tue Mar 17 12:54:28 2009  reduce to 6545569 relations and 4850622 ideals in 15 passes
Tue Mar 17 12:54:28 2009  max relations containing the same ideal: 23
Tue Mar 17 12:54:30 2009  reading rational ideals above 720000
Tue Mar 17 12:54:30 2009  reading algebraic ideals above 720000
Tue Mar 17 12:54:30 2009  commencing singleton removal, final pass
Tue Mar 17 12:56:38 2009  keeping 5403754 ideals with weight <= 20, new excess is 646417
Tue Mar 17 12:56:44 2009  memory use: 180.2 MB
Tue Mar 17 12:56:44 2009  commencing in-memory singleton removal
Tue Mar 17 12:56:45 2009  begin with 6587026 relations and 5403754 unique ideals
Tue Mar 17 12:56:55 2009  reduce to 6544199 relations and 5158066 ideals in 9 passes
Tue Mar 17 12:56:55 2009  max relations containing the same ideal: 20
Tue Mar 17 12:57:01 2009  removing 1565742 relations and 1247597 ideals in 318145 cliques
Tue Mar 17 12:57:03 2009  commencing in-memory singleton removal
Tue Mar 17 12:57:03 2009  begin with 4978457 relations and 5158066 unique ideals
Tue Mar 17 12:57:12 2009  reduce to 4751966 relations and 3671154 ideals in 10 passes
Tue Mar 17 12:57:12 2009  max relations containing the same ideal: 20
Tue Mar 17 12:57:16 2009  removing 1201681 relations and 883536 ideals in 318145 cliques
Tue Mar 17 12:57:17 2009  commencing in-memory singleton removal
Tue Mar 17 12:57:18 2009  begin with 3550285 relations and 3671154 unique ideals
Tue Mar 17 12:57:22 2009  reduce to 3350302 relations and 2574646 ideals in 9 passes
Tue Mar 17 12:57:22 2009  max relations containing the same ideal: 19
Tue Mar 17 12:57:26 2009  removing 166581 relations and 140769 ideals in 25812 cliques
Tue Mar 17 12:57:26 2009  commencing in-memory singleton removal
Tue Mar 17 12:57:26 2009  begin with 3183721 relations and 2574646 unique ideals
Tue Mar 17 12:57:30 2009  reduce to 3178656 relations and 2428761 ideals in 7 passes
Tue Mar 17 12:57:30 2009  max relations containing the same ideal: 19
Tue Mar 17 12:57:31 2009  relations with 0 large ideals: 94799
Tue Mar 17 12:57:31 2009  relations with 1 large ideals: 482369
Tue Mar 17 12:57:31 2009  relations with 2 large ideals: 1004006
Tue Mar 17 12:57:31 2009  relations with 3 large ideals: 988933
Tue Mar 17 12:57:31 2009  relations with 4 large ideals: 473837
Tue Mar 17 12:57:31 2009  relations with 5 large ideals: 110708
Tue Mar 17 12:57:31 2009  relations with 6 large ideals: 23262
Tue Mar 17 12:57:31 2009  relations with 7+ large ideals: 742
Tue Mar 17 12:57:31 2009  commencing 2-way merge
Tue Mar 17 12:57:34 2009  reduce to 2015714 relation sets and 1265819 unique ideals
Tue Mar 17 12:57:34 2009  commencing full merge
Tue Mar 17 12:58:00 2009  memory use: 112.3 MB
Tue Mar 17 12:58:00 2009  found 985977 cycles, need 886019
Tue Mar 17 12:58:01 2009  weight of 886019 cycles is about 62112073 (70.10/cycle)
Tue Mar 17 12:58:01 2009  distribution of cycle lengths:
Tue Mar 17 12:58:01 2009  1 relations: 119487
Tue Mar 17 12:58:01 2009  2 relations: 88429
Tue Mar 17 12:58:01 2009  3 relations: 87433
Tue Mar 17 12:58:01 2009  4 relations: 84047
Tue Mar 17 12:58:01 2009  5 relations: 80706
Tue Mar 17 12:58:01 2009  6 relations: 74925
Tue Mar 17 12:58:01 2009  7 relations: 68225
Tue Mar 17 12:58:01 2009  8 relations: 61469
Tue Mar 17 12:58:01 2009  9 relations: 53842
Tue Mar 17 12:58:01 2009  10+ relations: 167456
Tue Mar 17 12:58:01 2009  heaviest cycle: 17 relations
Tue Mar 17 12:58:01 2009  commencing cycle optimization
Tue Mar 17 12:58:03 2009  start with 5154831 relations
Tue Mar 17 12:58:17 2009  pruned 188003 relations
Tue Mar 17 12:58:17 2009  memory use: 165.8 MB
Tue Mar 17 12:58:17 2009  distribution of cycle lengths:
Tue Mar 17 12:58:17 2009  1 relations: 119487
Tue Mar 17 12:58:17 2009  2 relations: 91154
Tue Mar 17 12:58:17 2009  3 relations: 91767
Tue Mar 17 12:58:17 2009  4 relations: 87747
Tue Mar 17 12:58:17 2009  5 relations: 84891
Tue Mar 17 12:58:17 2009  6 relations: 78509
Tue Mar 17 12:58:17 2009  7 relations: 71066
Tue Mar 17 12:58:17 2009  8 relations: 62784
Tue Mar 17 12:58:17 2009  9 relations: 54055
Tue Mar 17 12:58:17 2009  10+ relations: 144559
Tue Mar 17 12:58:17 2009  heaviest cycle: 16 relations
Tue Mar 17 12:58:18 2009  
Tue Mar 17 12:58:18 2009  commencing linear algebra
Tue Mar 17 12:58:20 2009  read 886019 cycles
Tue Mar 17 12:58:24 2009  cycles contain 2746427 unique relations
Tue Mar 17 13:00:07 2009  read 2746427 relations
Tue Mar 17 13:00:21 2009  using 20 quadratic characters above 268435130
Tue Mar 17 13:00:44 2009  building initial matrix
Tue Mar 17 13:01:30 2009  memory use: 345.1 MB
Tue Mar 17 13:01:34 2009  read 886019 cycles
Tue Mar 17 13:01:35 2009  matrix is 885691 x 886019 (261.2 MB) with weight 78785843 (88.92/col)
Tue Mar 17 13:01:35 2009  sparse part has weight 58716555 (66.27/col)
Tue Mar 17 13:02:07 2009  filtering completed in 3 passes
Tue Mar 17 13:02:07 2009  matrix is 882183 x 882383 (260.5 MB) with weight 78558142 (89.03/col)
Tue Mar 17 13:02:07 2009  sparse part has weight 58574600 (66.38/col)
Tue Mar 17 13:02:17 2009  read 882383 cycles
Tue Mar 17 13:02:18 2009  matrix is 882183 x 882383 (260.5 MB) with weight 78558142 (89.03/col)
Tue Mar 17 13:02:18 2009  sparse part has weight 58574600 (66.38/col)
Tue Mar 17 13:02:18 2009  saving the first 48 matrix rows for later
Tue Mar 17 13:02:18 2009  matrix is 882135 x 882383 (248.1 MB) with weight 62087525 (70.36/col)
Tue Mar 17 13:02:18 2009  sparse part has weight 56205277 (63.70/col)
Tue Mar 17 13:02:18 2009  matrix includes 64 packed rows
Tue Mar 17 13:02:18 2009  using block size 65536 for processor cache size 2048 kB
Tue Mar 17 13:02:28 2009  commencing Lanczos iteration (2 threads)
Tue Mar 17 13:02:28 2009  memory use: 242.6 MB
Tue Mar 17 15:14:35 2009  lanczos halted after 13949 iterations (dim = 882135)
Tue Mar 17 15:14:38 2009  recovered 38 nontrivial dependencies
Tue Mar 17 15:14:38 2009  
Tue Mar 17 15:14:38 2009  commencing square root phase
Tue Mar 17 15:14:38 2009  reading relations for dependency 1
Tue Mar 17 15:14:38 2009  read 441047 cycles
Tue Mar 17 15:14:40 2009  cycles contain 1685937 unique relations
Tue Mar 17 15:16:01 2009  read 1685937 relations
Tue Mar 17 15:16:14 2009  multiplying 1370800 relations
Tue Mar 17 15:18:54 2009  multiply complete, coefficients have about 32.47 million bits
Tue Mar 17 15:18:55 2009  initial square root is modulo 2113031471
Tue Mar 17 15:23:50 2009  reading relations for dependency 2
Tue Mar 17 15:23:52 2009  read 441001 cycles
Tue Mar 17 15:23:54 2009  cycles contain 1685340 unique relations
Tue Mar 17 15:25:24 2009  read 1685340 relations
Tue Mar 17 15:25:37 2009  multiplying 1371486 relations
Tue Mar 17 15:28:15 2009  multiply complete, coefficients have about 32.49 million bits
Tue Mar 17 15:28:16 2009  initial square root is modulo 2141250271
Tue Mar 17 15:33:06 2009  reading relations for dependency 3
Tue Mar 17 15:33:09 2009  read 441310 cycles
Tue Mar 17 15:33:11 2009  cycles contain 1685743 unique relations
Tue Mar 17 15:34:57 2009  read 1685743 relations
Tue Mar 17 15:35:10 2009  multiplying 1370442 relations
Tue Mar 17 15:37:50 2009  multiply complete, coefficients have about 32.46 million bits
Tue Mar 17 15:37:50 2009  initial square root is modulo 2103565001
Tue Mar 17 15:42:49 2009  prp41 factor: 38399983418304274738274024976546740584967
Tue Mar 17 15:42:49 2009  prp93 factor: 727788294601551888099993904173706931765025315072705833126180244134209183779214775385936665507
Tue Mar 17 15:42:49 2009  elapsed time 03:06:08

GGNFS 0.77.1
Msieve 1.39

Intel Core2 T7100 1.8GHz, OpenSUSE Linux 64 bit

478571368750007477677636718866838713073732294354891777067099295184016673426487250260522288863285320660763488833135324429513017739444211140902178815799076596543996860571821<171>

458635566321274600833783985784889081388813133607071962664716819<63>
1043467632893450375012608605725506256081011775877522672352252150556117313829232637468736945319284152674730559<109>

Number: 44449_176
N=478571368750007477677636718866838713073732294354891777067099295184016673426487250260522288863285320660763488833135324429513017739444211140902178815799076596543996860571821
  ( 171 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=458635566321274600833783985784889081388813133607071962664716819 (pp63)
 r2=1043467632893450375012608605725506256081011775877522672352252150556117313829232637468736945319284152674730559 (pp109)
Version: Msieve-1.39
Total time: 111.09 hours.
Scaled time: 192.73 units (timescale=1.735).
Factorization parameters were as follows:
n: 478571368750007477677636718866838713073732294354891777067099295184016673426487250260522288863285320660763488833135324429513017739444211140902178815799076596543996860571821
m: 100000000000000000000000000000000000
deg: 5
c5: 40
c0: 41
skew: 1.00
type: snfs
lss: 1
rlim: 6100000
alim: 6100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6100000/6100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3050000, 7550001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1367987 x 1368235
Total sieving time: 111.09 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,6100000,6100000,28,28,53,53,2.5,2.5,100000
total time: 111.09 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449<177>

168147754451668131804909254590792523405537<42>
2643177994816423045994801272196432548527495305343780758343199586659007613587966246673472391393843105829320609766702837229594492464461377<136>

Number: 44449_177
N=444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449
  ( 177 digits)
SNFS difficulty: 177 digits.
Divisors found:
 r1=168147754451668131804909254590792523405537 (pp42)
 r2=2643177994816423045994801272196432548527495305343780758343199586659007613587966246673472391393843105829320609766702837229594492464461377 (pp136)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 183.14 hours.
Scaled time: 391.19 units (timescale=2.136).
Factorization parameters were as follows:
n: 444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449
m: 200000000000000000000000000000000000
c5: 25
c0: 82
skew: 1.27
type: snfs
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 50/50
Sieved algebraic special-q in [5000000, 7900001)
Primes: RFBsize:664579, AFBsize:665706, largePrimes:10888385 encountered
Relations: rels:11167090, finalFF:1501554
Max relations in full relation-set: 28
Initial matrix: 1330349 x 1501554 with sparse part having weight 84723705.
Pruned matrix : 1171071 x 1177786 with weight 56372503.
Total sieving time: 173.41 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 9.37 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,10000000,10000000,28,28,50,50,2.6,2.6,100000
total time: 183.14 hours.
 --------- CPU info (if available) ----------

Core 2 Quad Q6600

502912637470272670618375676243887604181561755809683068136763334278714802787460022089834797643871104059069963751831988155412516000981681537992296589656179<153>

596855768643520814174559713198614405443860497<45>
30109215149603792431542994980709900436563769491<47>
27984897351215105056880746819719300837191848665488017327551377<62>

Number: 44449_178
N = 502912637470272670618375676243887604181561755809683068136763334278714802787460022089834797643871104059069963751831988155412516000981681537992296589656179 (153 digits)
SNFS difficulty: 179 digits.
Divisors found:
r1=596855768643520814174559713198614405443860497 (pp45)
r2=30109215149603792431542994980709900436563769491 (pp47)
r3=27984897351215105056880746819719300837191848665488017327551377 (pp62)
Version: Msieve v. 1.51 (SVN 845)
Total time: 61.27 hours.
Factorization parameters were as follows:
n: 502912637470272670618375676243887604181561755809683068136763334278714802787460022089834797643871104059069963751831988155412516000981681537992296589656179
m: 200000000000000000000000000000000000
deg: 5
c5: 125
c0: 41
skew: 0.80
# Murphy_E = 1.197e-10
type: snfs
lss: 1
rlim: 6600000
alim: 6600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6600000/6600000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 18213785
Relations: 2339364 relations
Pruned matrix : 1360092 x 1360321
Polynomial selection time: 0.00 hours.
Total sieving time: 59.51 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.31 hours.
time per square root: 0.34 hours.
Prototype def-par.txt line would be: snfs,179,5,0,0,0,0,0,0,0,0,6600000,6600000,28,28,53,53,2.5,2.5,100000
total time: 61.27 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz

GGNFS, Msieve

597444315230679160939477985492610188971985911869006132077057934722215301025599997362726973484585917235673438089786351097041104372748619438229778691879<150>

1088501301917805849407679081173045263679284974000675950123<58>
548868719015820671095236435526594583783095259333093970914877884001998611434187509773522352373<93>

N=597444315230679160939477985492610188971985911869006132077057934722215301025599997362726973484585917235673438089786351097041104372748619438229778691879
  ( 150 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=1088501301917805849407679081173045263679284974000675950123 (pp58)
 r2=548868719015820671095236435526594583783095259333093970914877884001998611434187509773522352373 (pp93)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 85.13 hours.
Scaled time: 158.69 units (timescale=1.864).
Factorization parameters were as follows:
n: 597444315230679160939477985492610188971985911869006132077057934722215301025599997362726973484585917235673438089786351097041104372748619438229778691879
m: 1000000000000000000000000000000000000
deg: 5
c5: 2
c0: 205
skew: 2.52
# Murphy_E = 1.202e-10
type: snfs
lss: 1
rlim: 7100000
alim: 7100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7100000/7100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3550000, 7950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1276971 x 1277202
Total sieving time: 83.30 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 1.57 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,180.000,5,0,0,0,0,0,0,0,0,7100000,7100000,28,28,53,53,2.5,2.5,100000
total time: 85.13 hours.
 --------- CPU info (if available) ----------

22624281726424775878067745843773803042154811704240027384883087299077218330760924220686678285027183046213947210186528549046611919637895203569129762602902798285982153977886337<173>

2016929557986875866653246423957147987893524036571<49>
11217189830370859076466259573974775051704906420451910306063415530171452460926163490450565178467793483382579443694134280942547<125>

Number: 15
N=22624281726424775878067745843773803042154811704240027384883087299077218330760924220686678285027183046213947210186528549046611919637895203569129762602902798285982153977886337
  ( 173 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=2016929557986875866653246423957147987893524036571 (pp49)
 r2=11217189830370859076466259573974775051704906420451910306063415530171452460926163490450565178467793483382579443694134280942547 (pp125)
Version: Msieve-1.40
Total time: 130.84 hours.
Scaled time: 227.54 units (timescale=1.739).
Factorization parameters were as follows:
n: 22624281726424775878067745843773803042154811704240027384883087299077218330760924220686678285027183046213947210186528549046611919637895203569129762602902798285982153977886337
m: 1000000000000000000000000000000000000
deg: 5
c5: 4
c0: 41
skew: 1.59
type: snfs
lss: 1
rlim: 7200000
alim: 7200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3600000, 5700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1319874 x 1320099
Total sieving time: 127.78 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 2.42 hours.
Time per square root: 0.45 hours.
Prototype def-par.txt line would be:
snfs,180.000,5,0,0,0,0,0,0,0,0,7200000,7200000,28,28,53,53,2.5,2.5,100000
total time: 130.84 hours.

GGNFS, Msieve

798208318162048763451746279862044692125913085962200799991612757663630052592862225352387514595019693416614025011764734361569734541758600450241547512498364527779<159>

494937253748119812845220046749107465411742180251<48>
1612746488806978451627450628935728923560718413797421503104484382303781411527817949177681622948178499807769925529<112>

N=798208318162048763451746279862044692125913085962200799991612757663630052592862225352387514595019693416614025011764734361569734541758600450241547512498364527779
  ( 159 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=494937253748119812845220046749107465411742180251 (pp48)
 r2=1612746488806978451627450628935728923560718413797421503104484382303781411527817949177681622948178499807769925529 (pp112)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 147.80 hours.
Scaled time: 283.93 units (timescale=1.921).
Factorization parameters were as follows:
n: 798208318162048763451746279862044692125913085962200799991612757663630052592862225352387514595019693416614025011764734361569734541758600450241547512498364527779
m: 2000000000000000000000000000000000000
deg: 5
c5: 125
c0: 41
skew: 0.80
# Murphy_E = 7.523e-11
type: snfs
lss: 1
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [4000000, 11600001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1345708 x 1345933
Total sieving time: 145.79 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 1.71 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,183.000,5,0,0,0,0,0,0,0,0,8000000,8000000,28,28,53,53,2.5,2.5,100000
total time: 147.80 hours.
 --------- CPU info (if available) ----------

2999804665109476332919965243731107686008055176352334015723444382590024123835420219478688939728717154242010825203423511421705406303370395187942677558920319994041882575999477<172>

1028468656901316025194870592631166453493<40>

2916768192185476209130600299020222703251001859873551312550186038537008789362831619096830736907690865140108164330933656050977865580289<133>

Using B1=11000000, B2=96175819756, polynomial Dickson(12), sigma=1065531543
Step 1 took 50760ms
Step 2 took 41555ms
********** Factor found in step 2: 1028468656901316025194870592631166453493
Found probable prime factor of 40 digits: 1028468656901316025194870592631166453493
Composite cofactor has 133 digits

GMP-ECM 6.2.1

2916768192185476209130600299020222703251001859873551312550186038537008789362831619096830736907690865140108164330933656050977865580289<133>

58565794014800305717865266709276366046131923<44>
49803272392215369810843745775896355478752563119392082473605328046594473422576165193201243<89>

Number: n
N=2916768192185476209130600299020222703251001859873551312550186038537008789362831619096830736907690865140108164330933656050977865580289
  ( 133 digits)
Divisors found:

Sun Apr 22 00:07:48 2012  prp44 factor: 58565794014800305717865266709276366046131923
Sun Apr 22 00:07:48 2012  prp89 factor: 49803272392215369810843745775896355478752563119392082473605328046594473422576165193201243
Sun Apr 22 00:07:48 2012  elapsed time 03:27:50 (Msieve 1.44 - dependency 5)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.073).
Factorization parameters were as follows:
name: KA_49999_184
n: 2916768192185476209130600299020222703251001859873551312550186038537008789362831619096830736907690865140108164330933656050977865580289
skew: 165464.21
# norm 1.26e+18
c5: 95040
c4: 166636359790
c3: -4545091478140217
c2: -3260341793415090063156
c1: -23973630162799750992191588
c0: 11973311786485787825695515831616
# alpha -5.97
Y1: 693222182807471
Y0: -31433717011752652300201433
# Murphy_E 5.46e-11
# M 1284811346105721957274115619072609630800993813303521171346726799091480770600123342733353648777153398134567074217650342666539680917773
type: gnfs
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
qintsize: 60000
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 18420000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 2984521 hash collisions in 12777747 relations (9725703 unique)
Msieve: matrix is 1194325 x 1194550 (347.6 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,132,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5400000,5400000,27,27,51,51,2.5,2.5,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

71471345909313618292724488739581204392164676328649178556691074291007066877293064878387143617827596851510955052233613204826091422833015412751<140>

225511345154520630497783508039649154560499407<45>
316930156486545591259110588671595706249928707833939572041535814621834427357743207311883402969793<96>

N=71471345909313618292724488739581204392164676328649178556691074291007066877293064878387143617827596851510955052233613204826091422833015412751
  ( 140 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=225511345154520630497783508039649154560499407 (pp45)
 r2=316930156486545591259110588671595706249928707833939572041535814621834427357743207311883402969793 (pp96)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 200.63 hours.
Scaled time: 386.22 units (timescale=1.925).
Factorization parameters were as follows:
n: 71471345909313618292724488739581204392164676328649178556691074291007066877293064878387143617827596851510955052233613204826091422833015412751
m: 10000000000000000000000000000000000000
deg: 5
c5: 40
c0: 41
skew: 1.00
# Murphy_E = 5.211e-11
type: snfs
lss: 1
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4500000, 14500001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 2041320 x 2041548
Total sieving time: 195.76 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 4.04 hours.
Time per square root: 0.60 hours.
Prototype def-par.txt line would be:
snfs,186.000,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,54,54,2.5,2.5,100000
total time: 200.63 hours.
 --------- CPU info (if available) ----------

163167700005360612188027602733460301964298235767099554642440302555391223293833735533769864485710787049564535094865622816404902832116870888495002920053<150>

67876511796936836320552435043666550641903435884980851315803777<62>
2403890472355182550384329688602268603712515725603727095416389003280427658839026796620789<88>

N=163167700005360612188027602733460301964298235767099554642440302555391223293833735533769864485710787049564535094865622816404902832116870888495002920053
  ( 150 digits)
SNFS difficulty: 188 digits.
Divisors found:
 r1=67876511796936836320552435043666550641903435884980851315803777 (pp62)
 r2=2403890472355182550384329688602268603712515725603727095416389003280427658839026796620789 (pp88)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 208.52 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 163167700005360612188027602733460301964298235767099554642440302555391223293833735533769864485710787049564535094865622816404902832116870888495002920053
m: 20000000000000000000000000000000000000
deg: 5
c5: 125
c0: 41
skew: 0.80
# Murphy_E = 4.707e-11
type: snfs
lss: 1
rlim: 9700000
alim: 9700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 600000
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, 14450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1933125 x 1933350
Total sieving time: 204.43 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 3.61 hours.
Time per square root: 0.22 hours.
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: 208.52 hours.
 --------- CPU info (if available) ----------
[    0.074309] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49296732k/51380224k available (5105k kernel code, 1057796k absent, 1025696k reserved, 7223k data, 1316k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.00 BogoMIPS (lpj=2400000)
[    0.707507] Total of 16 processors activated (76799.07 BogoMIPS).
[root@ovz-n8 gg]# vim MINRELS.txt 

31428093603201064597932365053234568881993520283357707681743468184273047644192481476805681815165365094644905297358844813029640160702276124348219<143>

8908772699113234215051390318492335062419576866131736378861671<61>
3527769162449208024848264043058561404533558911309711572837955872817665389360344589<82>

N=31428093603201064597932365053234568881993520283357707681743468184273047644192481476805681815165365094644905297358844813029640160702276124348219
  ( 143 digits)
SNFS difficulty: 190 digits.
Divisors found:
 r1=8908772699113234215051390318492335062419576866131736378861671 (pp61)
 r2=3527769162449208024848264043058561404533558911309711572837955872817665389360344589 (pp82)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 214.65 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 31428093603201064597932365053234568881993520283357707681743468184273047644192481476805681815165365094644905297358844813029640160702276124348219
m: 100000000000000000000000000000000000000
deg: 5
c5: 2
c0: 205
skew: 2.52
# Murphy_E = 4.709e-11
type: snfs
lss: 1
rlim: 10400000
alim: 10400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 800000
Factor base limits: 10400000/10400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5200000, 14800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1821479 x 1821704
Total sieving time: 211.02 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 3.21 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,190.000,5,0,0,0,0,0,0,0,0,10400000,10400000,28,28,54,54,2.5,2.5,100000
total time: 214.65 hours.
 --------- CPU info (if available) ----------
[    0.074309] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49296732k/51380224k available (5105k kernel code, 1057796k absent, 1025696k reserved, 7223k data, 1316k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.00 BogoMIPS (lpj=2400000)
[    0.707507] Total of 16 processors activated (76799.07 BogoMIPS).

493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827161<189>

2948837566996825795307130730192425607301<40>
167465026226166064292399776036696947548186926080316744399282734221869926819933052095255866949131779342147271334939590492205749388252413890515966641861<150>

Number: 44449_190
N=493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827161
  ( 189 digits)
SNFS difficulty: 190 digits.
Divisors found:
 r1=2948837566996825795307130730192425607301 (pp40)
 r2=167465026226166064292399776036696947548186926080316744399282734221869926819933052095255866949131779342147271334939590492205749388252413890515966641861 (pp150)
Version: Msieve-1.39
Total time: 258.26 hours.
Scaled time: 449.12 units (timescale=1.739).
Factorization parameters were as follows:
n: 493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827161
m: 100000000000000000000000000000000000000
deg: 5
c5: 4
c0: 41
skew: 1.59
type: snfs
lss: 1
rlim: 10500000
alim: 10500000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10500000/10500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5250000, 9550001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1923959 x 1924207
Total sieving time: 258.26 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,190,5,0,0,0,0,0,0,0,0,10500000,10500000,28,28,54,54,2.5,2.5,100000
total time: 258.26 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

For the records page

446868373707481993714071226448254611261326625369553857802406425158454423693043755959624908722571756107217455389534397918779790036704413825731<141>

335732563467571075947367193609809575347<39>
1331024816574415178535198740376933736414450937292699184327359822630102869705402231438438248290257348273<103>

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=152571016
Step 1 took 43365ms
Step 2 took 29504ms
********** Factor found in step 2: 335732563467571075947367193609809575347
Found probable prime factor of 39 digits: 335732563467571075947367193609809575347
Probable prime cofactor has 103 digits

GMP-ECM 6.2.1

37127492547155112366487082477352640317684512877380341685177422523677462317029263820172114209781136295153070292758256114859615369319612268720381211175041454794393<161>

348634633016939161474946086818988897772006837554364194104027045911<66>
106493988350696052338849578801915417206722061573826381044543277060165574073516602187697564282063<96>

N=37127492547155112366487082477352640317684512877380341685177422523677462317029263820172114209781136295153070292758256114859615369319612268720381211175041454794393
  ( 161 digits)
SNFS difficulty: 193 digits.
Divisors found:
 r1=348634633016939161474946086818988897772006837554364194104027045911 (pp66)
 r2=106493988350696052338849578801915417206722061573826381044543277060165574073516602187697564282063 (pp96)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 334.51 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 37127492547155112366487082477352640317684512877380341685177422523677462317029263820172114209781136295153070292758256114859615369319612268720381211175041454794393
m: 200000000000000000000000000000000000000
deg: 5
c5: 125
c0: 41
skew: 0.80
# Murphy_E = 2.933e-11
type: snfs
lss: 1
rlim: 11800000
alim: 11800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 800000
Factor base limits: 11800000/11800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [5900000, 20300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2505647 x 2505872
Total sieving time: 327.33 hours.
Total relation processing time: 0.29 hours.
Matrix solve time: 6.27 hours.
Time per square root: 0.62 hours.
Prototype def-par.txt line would be:
snfs,193.000,5,0,0,0,0,0,0,0,0,11800000,11800000,28,28,55,55,2.5,2.5,100000
total time: 334.51 hours.
 --------- CPU info (if available) ----------
[    0.074309] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49296732k/51380224k available (5105k kernel code, 1057796k absent, 1025696k reserved, 7223k data, 1316k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.00 BogoMIPS (lpj=2400000)
[    0.707507] Total of 16 processors activated (76799.07 BogoMIPS).

66444464520007254592518996736860527470186309311270014145451759131952176541155947050474074741334420728264808261067055410688176314189211<134>

2078833007212834249538418304107943881613<40>
31962386728259488329238937951744272406806378777600988877444685328307968295581798047594803451847<95>

GMP-ECM 6.1.3 [powered by GMP 4.2.1] [ECM]
Input number is 66444464520007254592518996736860527470186309311270014145451759131952176541155947050474074741334420728264808261067055410688176314189211 (134 digits)
Using B1=2212000, B2=2854157680, polynomial Dickson(6), sigma=1943684335
Step 1 took 21759ms
Step 2 took 8673ms
********** Factor found in step 2: 2078833007212834249538418304107943881613
Found probable prime factor of 40 digits: 2078833007212834249538418304107943881613
Probable prime cofactor 31962386728259488329238937951744272406806378777600988877444685328307968295581798047594803451847 has 95 digits

286839823510580191666619705365175830455886766824298094788567699821329852448591544075780257849328501646619449787032679201806953253722113505703639512525752108348960297<165>

62771518948355359980434222636634529153023216601452638463096979431461<68>
4569585511329983753266829981699711858684820105081395228367481696108863136321864112672521203229877<97>

286839823510580191666619705365175830455886766824298094788567699821329852448591544075780257849328501646619449787032679201806953253722113505703639512525752108348960297=62771518948355359980434222636634529153023216601452638463096979431461*4569585511329983753266829981699711858684820105081395228367481696108863136321864112672521203229877

cado polynomial
n: 286839823510580191666619705365175830455886766824298094788567699821329852448591544075780257849328501646619449787032679201806953253722113505703639512525752108348960297
skew: 2.52
type: snfs
c0: 205
c5: 2
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = 2*x^5+205
# g(x) = -x+10000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 15300000
tasks.lim1 = 15300000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 4569585511329983753266829981699711858684820105081395228367481696108863136321864112672521203229877 62771518948355359980434222636634529153023216601452638463096979431461
Info:Square Root: Total cpu/real time for sqrt: 1538.77/475.235
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 192.28/238.237
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 237.8s
Info:Linear Algebra: Total cpu/real time for bwc: 102048/26081.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 38560.72, WCT time 9835.73, iteration CPU time 0.28, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (98816 iterations)
Info:Linear Algebra: Lingen CPU time 719.03, WCT time 182.37
Info:Linear Algebra: Mksol: CPU time 62759.98,  WCT time 16030.43, iteration CPU time 0.31, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (49664 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 45548727
Info:Lattice Sieving: Average J: 1894.09 for 3300649 special-q, max bucket fill -bkmult 1.0,1s:1.137180
Info:Lattice Sieving: Total time: 869387s
Info:Generate Factor Base: Total cpu/real time for makefb: 6.39/2.83564
Info:Square Root: Total cpu/real time for sqrt: 1538.77/475.235
Info:Filtering - Merging: Merged matrix has 3161289 rows and total weight 540792784 (171.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 934.93/257.372
Info:Filtering - Merging: Total cpu/real time for replay: 128.84/112.329
Info:Filtering - Singleton removal: Total cpu/real time for purge: 477.38/558.797
Info:Quadratic Characters: Total cpu/real time for characters: 116.42/48.6811
Info:Generate Free Relations: Total cpu/real time for freerel: 232.58/60.8287
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 730.45/705.947
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 589.1999999999999s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.7437e+06/26609.7
4569585511329983753266829981699711858684820105081395228367481696108863136321864112672521203229877 62771518948355359980434222636634529153023216601452638463096979431461

cado-nfs-3.0.0

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

21802101001137690697238735178487317224002797903301299821917773715859953302266273626740022839814512383791304470672394841019137547797874964836624476602895525053706596576339238286369920021738997<191>

55733613048423801677718022385013251386511244367453309433<56>
37636139154156235802651406627381778436450783362814111742236023<62>
10393841351961761045940101378565328221362485572741384907581270534043428683<74>

N=21802101001137690697238735178487317224002797903301299821917773715859953302266273626740022839814512383791304470672394841019137547797874964836624476602895525053706596576339238286369920021738997
  ( 191 digits)
SNFS difficulty: 200 digits.
Divisors found:
 r1=55733613048423801677718022385013251386511244367453309433 (pp56)
 r2=37636139154156235802651406627381778436450783362814111742236023 (pp62)
 r3=10393841351961761045940101378565328221362485572741384907581270534043428683 (pp74)
Version: Msieve v. 1.49
Total time:
Scaled time: 74.95 units (timescale=0.612).
Factorization parameters were as follows:
n: 21802101001137690697238735178487317224002797903301299821917773715859953302266273626740022839814512383791304470672394841019137547797874964836624476602895525053706596576339238286369920021738997
m: 10000000000000000000000000000000000000000
deg: 5
c5: 4
c0: 41
skew: 1.59
type: snfs
lss: 1
rlim: 15400000
alim: 15400000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 320000
Factor base limits: 15400000/15400000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [7700000, 15380001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3331474 x 3331706
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,200.000,5,0,0,0,0,0,0,0,0,15400000,15400000,29,29,56,56,2.6,2.6,100000
total time:

3197442046362909672262190247801758593125499600319744204636290967226219024780175859312549960031974420463629096722621902478017585931254996003197442046362909672262190247801758593125499600319744204636291<199>

1659569751843448443345767735187679<34>
1926669272449196064897903143012543041266910991329512207789996641277484470151278405681685700307774899521642559421035036981881447851542046815591656649114340667297118429<166>

GMP-ECM 6.4.4 [configured with GMP 5.1.1] [ECM]
Input number is 3197442046362909672262190247801758593125499600319744204636290967226219024780175859312549960031974420463629096722621902478017585931254996003197442046362909672262190247801758593125499600319744204636291 (199 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=341923959
Step 1 took 26864ms
Step 2 took 7503ms
********** Factor found in step 2: 1659569751843448443345767735187679
Found probable prime factor of 34 digits: 1659569751843448443345767735187679
Probable prime cofactor 1926669272449196064897903143012543041266910991329512207789996641277484470151278405681685700307774899521642559421035036981881447851542046815591656649114340667297118429 has 166 digits

10727615990417740072040173906639844386549403212486829043454885347309343389271334678382678839042982615709172939633827308795015379163100483251247315283760023975805470415121470722899593<182>

14432591202944333400408417517527248305178718581321456298779<59>
743291058381064890317400629600510655254364060083139756696601268267087201845672833695515134155704856257543001389191151866667<123>

#
# N = 4x10^202+41 = 4(201)9
#
n: 10727615990417740072040173906639844386549403212486829043454885347309343389271334678382678839042982615709172939633827308795015379163100483251247315283760023975805470415121470722899593
m: 10000000000000000000000000000000000000000
deg: 5
c5: 400
c0: 41
skew: 0.63
# Murphy_E = 1.092e-11
type: snfs
lss: 1
rlim: 16700000
alim: 16700000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 10727615990417740072040173906639844386549403212486829043454885347309343389271334678382678839042982615709172939633827308795015379163100483251247315283760023975805470415121470722899593 (182 digits)
Using B1=50740000, B2=288592384096, polynomial Dickson(12), sigma=1:2994746036
Step 1 took 137018ms
Step 2 took 44316ms
********** Factor found in step 2: 14432591202944333400408417517527248305178718581321456298779
Found prime factor of 59 digits: 14432591202944333400408417517527248305178718581321456298779
Prime cofactor 743291058381064890317400629600510655254364060083139756696601268267087201845672833695515134155704856257543001389191151866667 has 123 digits

424878905990879326067852591485745356717210026480426100276037946193563338317929916069331355198926671799103443034116050162276593166941167207999075168350475139854694853172976616253<177>

6226330382440180066013720006606719667189291692979899<52>
68239055734842606045599919204779331788966268977571471526543864295510945552576105730205990803015244533026640200097186859539047<125>

#
# N = 4x10^203+41 = 4(202)9
#
n: 424878905990879326067852591485745356717210026480426100276037946193563338317929916069331355198926671799103443034116050162276593166941167207999075168350475139854694853172976616253
m: 20000000000000000000000000000000000000000
deg: 5
c5: 125
c0: 41
skew: 0.80
# Murphy_E = 9.972e-12
type: snfs
lss: 1
rlim: 17300000
alim: 17300000
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 424878905990879326067852591485745356717210026480426100276037946193563338317929916069331355198926671799103443034116050162276593166941167207999075168350475139854694853172976616253 (177 digits)
Using B1=42000000, B2=192395152966, polynomial Dickson(12), sigma=1:2110964117
Step 1 took 116727ms
Step 2 took 33637ms
********** Factor found in step 2: 6226330382440180066013720006606719667189291692979899
Found prime factor of 52 digits: 6226330382440180066013720006606719667189291692979899
Prime cofactor 68239055734842606045599919204779331788966268977571471526543864295510945552576105730205990803015244533026640200097186859539047 has 125 digits

32769859772698896821595346110372113907144506701525211761557845773876856947421678370024749936333692375482686414478886722203107972640054114442395926777868547831608670769556335266852550255392025025503<197>

343548202731091870901127622818810178534663<42>
95386497476015327605031716578079269343290158297786323498165050953798083660440224336626640765834536256385630699575714039750621949209605847768178194002840681<155>

#
# N = 4x10^205+41 = 4(204)9
#
n: 32769859772698896821595346110372113907144506701525211761557845773876856947421678370024749936333692375482686414478886722203107972640054114442395926777868547831608670769556335266852550255392025025503
m: 100000000000000000000000000000000000000000
deg: 5
c5: 4
c0: 41
skew: 1.59
# Murphy_E = 9.259e-12
type: snfs
lss: 1
rlim: 18700000
alim: 18700000
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 32769859772698896821595346110372113907144506701525211761557845773876856947421678370024749936333692375482686414478886722203107972640054114442395926777868547831608670769556335266852550255392025025503 (197 digits)
Using B1=37980000, B2=192391008826, polynomial Dickson(12), sigma=1:11567103
Step 1 took 120937ms
Step 2 took 37140ms
********** Factor found in step 2: 343548202731091870901127622818810178534663
Found prime factor of 42 digits: 343548202731091870901127622818810178534663
Prime cofactor 95386497476015327605031716578079269343290158297786323498165050953798083660440224336626640765834536256385630699575714039750621949209605847768178194002840681 has 155 digits

228781523804187034638415610755122230509094144512658775076761953487896443972673925268321535468904129464973041369645892835959773606339427021028813676920011716314730762909<168>

1066265574111198431914041668384406223661387244187529621<55>
214563359597247885548814504615709113544347815478090462639082110921951037803614827752632913611654286829707066845929<114>

Number: n
N=228781523804187034638415610755122230509094144512658775076761953487896443972673925268321535468904129464973041369645892835959773606339427021028813676920011716314730762909  ( 168 digits)
SNFS difficulty: 206 digits.
Divisors found:

Sat Mar 23 20:59:06 2024  prp55 factor: 1066265574111198431914041668384406223661387244187529621
Sat Mar 23 20:59:06 2024  prp114 factor: 214563359597247885548814504615709113544347815478090462639082110921951037803614827752632913611654286829707066845929
Sat Mar 23 20:59:06 2024  elapsed time 03:30:40 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.084).
Factorization parameters were as follows:
#
# N = 4x10^206+41 = 4(205)9
#
n: 228781523804187034638415610755122230509094144512658775076761953487896443972673925268321535468904129464973041369645892835959773606339427021028813676920011716314730762909
m: 10000000000000000000000000000000000
deg: 6
c6: 400
c0: 41
skew: 0.68
# Murphy_E = 7.714e-12
type: snfs
lss: 1
rlim: 19400000
alim: 19400000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19400000/19400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 71300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3346050 hash collisions in 19467549 relations (16814172 unique)
Msieve: matrix is 2580318 x 2580544 (732.3 MB)

Sieving start time: 2024/03/22 08:45:08
Sieving end time  : 2024/03/23 17:28:05

Total sieving time: 32hrs 42min 57secs.

Total relation processing time: 3hrs 20min 44sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 19sec.

Prototype def-par.txt line would be:
snfs,206,6,0,0,0,0,0,0,0,0,19400000,19400000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

2256063169768753525098702763677382966723068245910885504794134235758601240834743372814438804286520022560631697687535250987027636773829667230682459108855047941342357586012408347433728144388042865200225606317<205>

536649146863560686789285885520194254455507315143<48>
4203981657204314712454204713135564988882554616281103746921283930219585250369656744465413590452192870334408583018629237408505510005154243930536559942085130219<157>

Number: n
N=2256063169768753525098702763677382966723068245910885504794134235758601240834743372814438804286520022560631697687535250987027636773829667230682459108855047941342357586012408347433728144388042865200225606317
  ( 205 digits)
SNFS difficulty: 207 digits.
Divisors found:

Thu Dec 26 07:06:37 2013  prp48 factor: 536649146863560686789285885520194254455507315143
Thu Dec 26 07:06:37 2013  prp157 factor: 4203981657204314712454204713135564988882554616281103746921283930219585250369656744465413590452192870334408583018629237408505510005154243930536559942085130219
Thu Dec 26 07:06:37 2013  elapsed time 12:18:38 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.702).
Factorization parameters were as follows:
#
#  4*10^207+41 - 4(206)9
#
#  c205, diff: 207.6
#
skew: 0.634
n: 2256063169768753525098702763677382966723068245910885504794134235758601240834743372814438804286520022560631697687535250987027636773829667230682459108855047941342357586012408347433728144388042865200225606317
m: 100000000000000000000000000000000000000000
deg: 5
c5: 400
c0: 41
# Murphy_E = 6.721e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
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, 28000000)
Primes: RFBsize:1270607, AFBsize:1272746,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8372793 hash collisions in 54664440 relations (48091371 unique)
Msieve: matrix is 2724180 x 2724405 (772.9 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 11hrs 11min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 32min 25sec.

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) ----------

4931031894905426038477342562863472760985465770017901741388407923565386537679933766845438143489758190638834566561920312880018820944522334362491<142>

852741094971965325425145180270985301544901769899<48>
5782566272436463733617329772831930068883155346339923445151764132190355609840720526849172906609<94>

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=2955978575
Step 1 took 39545ms
Step 2 took 22453ms
********** Factor found in step 2: 852741094971965325425145180270985301544901769899
Found probable prime factor of 48 digits: 852741094971965325425145180270985301544901769899
Probable prime cofactor

4519196120205752263381772372241134899464229838456567734506693020561990768272801628456399806821258314482653976962261094865716772274326022494276320072122106259221<160>

10279720326840406835444232050468322259119828228921747106467913871132497669554086797160453471748181073755400700151840017637607739133349502464584279<146>

9690824426355667322600155669275391498525640688259640785871<58>
1060768400558692175249060954485570987559960833218573824539407600022112323848098443174649<88>

10279720326840406835444232050468322259119828228921747106467913871132497669554086797160453471748181073755400700151840017637607739133349502464584279=9690824426355667322600155669275391498525640688259640785871*1060768400558692175249060954485570987559960833218573824539407600022112323848098443174649

cado polynomial
n: 10279720326840406835444232050468322259119828228921747106467913871132497669554086797160453471748181073755400700151840017637607739133349502464584279
skew: 241352.707
c0: -1250613175313064946846332456158992
c1: 50124603549600868750735137782
c2: -177013130858481881533979
c3: -1993205868714867377
c4: -9185215074
c5: 5821200
Y0: -9427310063906900533994805605
Y1: 987306618435255033791
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=3.355e+14) = 1.695e-07
# f(x) = 5821200*x^5-9185215074*x^4-1993205868714867377*x^3-177013130858481881533979*x^2+50124603549600868750735137782*x-1250613175313064946846332456158992
# g(x) = 987306618435255033791*x-9427310063906900533994805605

cado parameters (extracts)
tasks.lim0 = 10000000
tasks.lim1 = 20000000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 58
tasks.sieve.mfb1 = 87
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1060768400558692175249060954485570987559960833218573824539407600022112323848098443174649 9690824426355667322600155669275391498525640688259640785871
Info:Square Root: Total cpu/real time for sqrt: 1742.35/514.458
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 224.52/276.938
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 276.20000000000005s
Info:Generate Free Relations: Total cpu/real time for freerel: 502.11/127.2
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1048/1035.59
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 864.4s
Info:Linear Algebra: Total cpu/real time for bwc: 238976/61087.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 156345.09, WCT time 39826.64, iteration CPU time 0.34, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (111104 iterations)
Info:Linear Algebra: Lingen CPU time 772.95, WCT time 196.1
Info:Linear Algebra: Mksol: CPU time 80472.95,  WCT time 20545.75, iteration CPU time 0.35, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (55808 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 49265844
Info:Lattice Sieving: Average J: 3799.27 for 1216275 special-q, max bucket fill -bkmult 1.0,1s:1.143300
Info:Lattice Sieving: Total time: 1.26205e+06s
Info:Generate Factor Base: Total cpu/real time for makefb: 18.48/4.91507
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 77228.6
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 78598/43.930/52.264/57.340/0.901
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 64465/42.770/46.844/53.000/1.199
Info:Polynomial Selection (size optimized): Total time: 40729.6
Info:Quadratic Characters: Total cpu/real time for characters: 139.18/58.7713
Info:Square Root: Total cpu/real time for sqrt: 1742.35/514.458
Info:Filtering - Merging: Merged matrix has 3540001 rows and total weight 603861848 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 922.76/260.149
Info:Filtering - Merging: Total cpu/real time for replay: 151.67/132.344
Info:Filtering - Singleton removal: Total cpu/real time for purge: 825.4/931.366
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6034.52
Info:Polynomial Selection (root optimized): Rootsieve time: 6032.14
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.68684e+06/355210
1060768400558692175249060954485570987559960833218573824539407600022112323848098443174649 9690824426355667322600155669275391498525640688259640785871

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

326167133966638572558260027710026311080104693969079918085368067192022415460695276408874032534668400267637997088541322178582668819978116511051096883720563216715407687331<168>

229286887608198589692512520215956306652112837322033768478515848446718830887425435758746100998845308033733378110876691314948943125489809654381311019655870648337369272572843394278435032671110337358731827<201>

236502676178246011352449025552697412121448025147614196331085362390276895569<75>
969489611336959812767883387178246525361229527543689478846124200380482540284601200862814839681491644311091570695492457084988483<126>

Number: n
N=229286887608198589692512520215956306652112837322033768478515848446718830887425435758746100998845308033733378110876691314948943125489809654381311019655870648337369272572843394278435032671110337358731827  ( 201 digits)
SNFS difficulty: 212 digits.
Divisors found:

Fri Oct  2 10:24:18 2020  p75 factor: 236502676178246011352449025552697412121448025147614196331085362390276895569
Fri Oct  2 10:24:18 2020  p126 factor: 969489611336959812767883387178246525361229527543689478846124200380482540284601200862814839681491644311091570695492457084988483
Fri Oct  2 10:24:18 2020  elapsed time 03:54:48 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.125).
Factorization parameters were as follows:
#
# N = 4x10^212+41 = 4(211)9
#
n: 229286887608198589692512520215956306652112837322033768478515848446718830887425435758746100998845308033733378110876691314948943125489809654381311019655870648337369272572843394278435032671110337358731827
m: 100000000000000000000000000000000000
deg: 6
c6: 400
c0: 41
skew: 0.68
# Murphy_E = 4.87e-12
type: snfs
lss: 1
rlim: 24000000
alim: 24000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 24000000/24000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 37600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9127821 hash collisions in 58582886 relations (51889492 unique)
Msieve: matrix is 2881020 x 2881245 (1017.5 MB)

Sieving start time: 2020/10/01 15:37:08
Sieving end time  : 2020/10/02 06:28:32

Total sieving time: 14hrs 51min 24secs.

Total relation processing time: 3hrs 13min 22sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 24min 4sec.

Prototype def-par.txt line would be:
snfs,212,6,0,0,0,0,0,0,0,0,24000000,24000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.153144] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283120K/16703460K available (12300K kernel code, 2482K rwdata, 4272K rodata, 2436K init, 2724K bss, 420340K reserved, 0K cma-reserved)
[    0.188717] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.74 BogoMIPS (lpj=11977488)
[    0.186225] smpboot: Total of 16 processors activated (95819.90 BogoMIPS)

241665724430496923162886166387121844547788527413380238850651410188803675510341405951332164875183589635224123074945647614291961289546811667929647989296301<153>

147078636427637298008221761961691317395443700193451427403498130790479021844997877085346633036695211578115565192736128840061870246278286333417436574608567031266884742367077470902982927196453695808338651972599<207>

170064423583950862337999620870573586022699312727997588687355540252076340494631764819<84>
864840707586517498889636062383975442118101449214715674653020168140342711999103025412356154709445201620970458346755449580621<123>

Number: n
N=147078636427637298008221761961691317395443700193451427403498130790479021844997877085346633036695211578115565192736128840061870246278286333417436574608567031266884742367077470902982927196453695808338651972599
  ( 207 digits)
SNFS difficulty: 215 digits.
Divisors found:

Sat Nov 23 23:58:31 2019  p84 factor: 170064423583950862337999620870573586022699312727997588687355540252076340494631764819
Sat Nov 23 23:58:31 2019  p123 factor: 864840707586517498889636062383975442118101449214715674653020168140342711999103025412356154709445201620970458346755449580621
Sat Nov 23 23:58:31 2019  elapsed time 04:56:23 (Msieve 1.54 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.130).
Factorization parameters were as follows:
#
# N = 4x10^214+41 = 4(213)9
#
n: 147078636427637298008221761961691317395443700193451427403498130790479021844997877085346633036695211578115565192736128840061870246278286333417436574608567031266884742367077470902982927196453695808338651972599
m: 10000000000000000000000000000000000000000000
deg: 5
c5: 2
c0: 205
skew: 2.52
# Murphy_E = 3.72e-12
type: snfs
lss: 1
rlim: 27000000
alim: 27000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 27000000/27000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 53500000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8673184 hash collisions in 58239274 relations (51615799 unique)
Msieve: matrix is 3338796 x 3339021 (1174.8 MB)

Sieving start time: 2019/11/22 19:15:59
Sieving end time  : 2019/11/23 19:01:13

Total sieving time: 23hrs 45min 14secs.
Total relation processing time: 4hrs 30min 52sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 52sec.

Prototype def-par.txt line would be:
snfs,215,5,0,0,0,0,0,0,0,0,27000000,27000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149891] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283576K/16703460K available (12300K kernel code, 2481K rwdata, 4264K rodata, 2432K init, 2388K bss, 419884K reserved, 0K cma-reserved)
[    0.184561] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.88 BogoMIPS (lpj=11977760)
[    0.182217] smpboot: Total of 16 processors activated (95822.08 BogoMIPS)

44444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449<215>

175061680685405698331416030459612080866053<42>

253878771587445566117206538092183220979700867036580336014564123311033889581405405247389384156343318905964757439688837594393726065283652087543276709514756892798179868990989933<174>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1640211693
Step 1 took 114441ms
Step 2 took 37199ms
********** Factor found in step 2: 175061680685405698331416030459612080866053
Found probable prime factor of 42 digits: 175061680685405698331416030459612080866053

11805586376903303983472689685082952086356499488007961405464394307114882104651641460824158486640622564152981351005430550467925593948846976479093752510275284210353254917615250294722216470279609<191>

48923511417348044583278853266408988085343271681060709666476749245398589131033960629130876546077511468750332323737171336725691473407300365701966141791102142536120246950563475199835079434568200472907<197>

351445202265992870158568198880223566296791<42>
139206656121371850671554587436837942829660143908743158203870591376754018258392631763996816383244263130625868719647894689162018741797844134930801666597820077<156>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3534522759
Step 1 took 110322ms
Step 2 took 34243ms
********** Factor found in step 2: 351445202265992870158568198880223566296791
Found probable prime factor of 42 digits: 351445202265992870158568198880223566296791

223073641050051563313804991104099014606262042613480763092038199609003421534804159445892704089897850983821106819251034236211537075435519385571801125229057981912830495635260611331208556594378430723173157638359<207>

960073008816106954062255746659340359<36>

232350705625116935556920663128787753378302474303531102369494944608740780619542479393485120782990205211906604209657428269047825560791383993823834064804221739305985005622001<171>

GMP-ECM 6.4.4 [configured with GMP 5.1.1] [ECM]
Input number is 223073641050051563313804991104099014606262042613480763092038199609003421534804159445892704089897850983821106819251034236211537075435519385571801125229057981912830495635260611331208556594378430723173157638359 (207 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3854837815
Step 1 took 27122ms
Step 2 took 8159ms
********** Factor found in step 2: 960073008816106954062255746659340359
Found probable prime factor of 36 digits: 960073008816106954062255746659340359
Composite cofactor 232350705625116935556920663128787753378302474303531102369494944608740780619542479393485120782990205211906604209657428269047825560791383993823834064804221739305985005622001 has 171 digits

232350705625116935556920663128787753378302474303531102369494944608740780619542479393485120782990205211906604209657428269047825560791383993823834064804221739305985005622001<171>

1717344014509961764657940595628792615460778995579082513803867280881600761804729<79>
135296541439553923022140372458910907049746898081902281178051675446899038598394546230695813369<93>

Number: 44449_219
N = 232350705625116935556920663128787753378302474303531102369494944608740780619542479393485120782990205211906604209657428269047825560791383993823834064804221739305985005622001 (171 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=1717344014509961764657940595628792615460778995579082513803867280881600761804729 (pp79)
r2=135296541439553923022140372458910907049746898081902281178051675446899038598394546230695813369 (pp93)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 110.89 hours.
Factorization parameters were as follows:
n: 232350705625116935556920663128787753378302474303531102369494944608740780619542479393485120782990205211906604209657428269047825560791383993823834064804221739305985005622001
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 2
c0: 205
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/28
Relations: 9569630 relations
Pruned matrix : 8163475 x 8163700
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 48.75 hours.
Total relation processing time: 0.43 hours.
Matrix solve time: 60.91 hours.
time per square root: 0.80 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000
total time: 110.89 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

1419666043913581182887985816119354479120196413156792515707553603239226682498661568519440810752517561248376981190381770471117841688604607087972830706517580501409022755472278306192535008864157529<193>

4084223928012443916773525539023065655947947287205128616253<58>
347597504185930059140285930789699800007821264158039569921134377780067356002727793368604964136694540032878333124477940852733187581782093<135>

Number: 44449_222
N = 1419666043913581182887985816119354479120196413156792515707553603239226682498661568519440810752517561248376981190381770471117841688604607087972830706517580501409022755472278306192535008864157529 (193 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=4084223928012443916773525539023065655947947287205128616253 (pp58)
r2=347597504185930059140285930789699800007821264158039569921134377780067356002727793368604964136694540032878333124477940852733187581782093 (pp135)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 39.44 hours.
Factorization parameters were as follows:
n: 1419666043913581182887985816119354479120196413156792515707553603239226682498661568519440810752517561248376981190381770471117841688604607087972830706517580501409022755472278306192535008864157529
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 400
c0: 41
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 22369622
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: 536870912/22369622
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 34790861
Relations: 8534860 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 18.90 hours.
Total relation processing time: 0.28 hours.
Pruned matrix : 7476212 x 7476437
Matrix solve time: 20.11 hours.
time per square root: 0.15 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,22369622,29,28,58,56,2.8,2.8,100000
total time: 39.44 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

97245490428108682743247919701144147229624595865957456788353073588529723393134673050791023020411023213270672910364265692389235935551140756129407437521622245043213365830701141769457939654673363428235177<200>

17464592111358113247650329546709240485760839303238910819607178984221137441583572721070709267029632219679857597366621983328280477869470620623866983331328444696273872602806548542187751057833045107260610119874111<209>

3285243321718010182145336103735406841512578780059783114535476439730740601066965068680191928132817318004345665659974363654997426085339743964554441845490773233785303226979769573123775941<184>

417973158644383663520007973145742601679<39>
7859938500292868606372709153241302106984804660668854056612521406394716940103215157935195755507177618655611207620607892401385188091246575509492779<145>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2928498640
Step 1 took 27733ms
Step 2 took 8400ms
********** Factor found in step 2: 417973158644383663520007973145742601679
Found probable prime factor of 39 digits: 417973158644383663520007973145742601679

2197470797965750044775388597712957093413655279133029394122824647701138492605532187521675622264461025243005077654116683981952494998605198978147210149890998999213685002657051379624303838609453593<193>

7023899355034499279370614556219607503599966461<46>

312856247917430008459402666285171162424647596939762084852408736140430395226543321688135575102940560183586033099585636054216304776326708679288833613<147>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2713946358
Step 1 took 375863ms
Step 2 took 94977ms
********** Factor found in step 2: 7023899355034499279370614556219607503599966461
Found probable prime factor of 46 digits: 7023899355034499279370614556219607503599966461

312856247917430008459402666285171162424647596939762084852408736140430395226543321688135575102940560183586033099585636054216304776326708679288833613<147>

3643854603936919008299091451982231094285442019754767003<55>
85858598084405360640623597010644020165807203470928263592326716087232381942523328581000258871<92>

312856247917430008459402666285171162424647596939762084852408736140430395226543321688135575102940560183586033099585636054216304776326708679288833613=3643854603936919008299091451982231094285442019754767003*85858598084405360640623597010644020165807203470928263592326716087232381942523328581000258871

cado polynomial
n: 312856247917430008459402666285171162424647596939762084852408736140430395226543321688135575102940560183586033099585636054216304776326708679288833613
skew: 128487.765
c0: 3460118768228301381434217548112
c1: 7198072421130030562899924598
c2: -24309319569609020302405
c3: -1363926379271466731
c4: 818921706960
c5: 4158000
Y0: -15490290320482382982356875947
Y1: 1105245754749093183769
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=3.355e+14) = 1.553e-07
# f(x) = 4158000*x^5+818921706960*x^4-1363926379271466731*x^3-24309319569609020302405*x^2+7198072421130030562899924598*x+3460118768228301381434217548112
# g(x) = 1105245754749093183769*x-15490290320482382982356875947

cado parameters (extracts)
tasks.lim0 = 10000000
tasks.lim1 = 20000000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 58
tasks.sieve.mfb1 = 87
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 85858598084405360640623597010644020165807203470928263592326716087232381942523328581000258871 3643854603936919008299091451982231094285442019754767003
Info:Square Root: Total cpu/real time for sqrt: 3592.03/1083.6
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 229/264.947
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 264.4s
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 77228.6
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 78472/43.520/52.816/58.670/0.890
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 63907/42.970/47.448/53.560/1.293
Info:Polynomial Selection (size optimized): Total time: 41789
Info:Linear Algebra: Total cpu/real time for bwc: 254469/65146.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 168604.33, WCT time 43033.69, iteration CPU time 0.36, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (113664 iterations)
Info:Linear Algebra: Lingen CPU time 789.59, WCT time 200.34
Info:Linear Algebra: Mksol: CPU time 83631.7,  WCT time 21367.1, iteration CPU time 0.36, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (56832 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 17.74/4.74008
Info:Quadratic Characters: Total cpu/real time for characters: 143.38/61.6255
Info:Filtering - Singleton removal: Total cpu/real time for purge: 942.2/1065.51
Info:Filtering - Merging: Merged matrix has 3624827 rows and total weight 619745667 (171.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 964.49/271.013
Info:Filtering - Merging: Total cpu/real time for replay: 156.87/138.806
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6182.17
Info:Polynomial Selection (root optimized): Rootsieve time: 6179.67
Info:Square Root: Total cpu/real time for sqrt: 3592.03/1083.6
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 50093914
Info:Lattice Sieving: Average J: 3787.16 for 1365698 special-q, max bucket fill -bkmult 1.0,1s:1.203780
Info:Lattice Sieving: Total time: 1.3313e+06s
Info:Generate Free Relations: Total cpu/real time for freerel: 505.31/127.883
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1140.14/1141.48
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 949.4s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.83661e+06/553.13
85858598084405360640623597010644020165807203470928263592326716087232381942523328581000258871 3643854603936919008299091451982231094285442019754767003

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-89-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

5734179694890335665977004503269514270220412989671226381410219595857883054103541663324061008366944482427543227528748702082385205267270666991893455283091659411087605789639459519039980896837237723177815835445267159359683<217>

11247566882496407589654644198837919887<38>

509815123110219667644593310360520259039468827756086878289458287368264483177621661472898641969282788344262096630596634798274196785926826929569553253072741906550436323292975901716109<180>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=806458019
Step 1 took 30343ms
Step 2 took 11073ms
********** Factor found in step 2: 11247566882496407589654644198837919887
Found probable prime factor of 38 digits: 11247566882496407589654644198837919887

1129463286188225919694413267459709833887855432807496254388157667303906338317844595533606259985229382711674990708032546668664371265105075006232474674102364645116434857562116393437285954184517241753110631084912178697<214>

444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449<231>

7344346423019282523689618364505761514549315503348692251043603<61>
60515179819327207008028786770099484875929395886187616368021232354601597490072849946017224439107114698223761981362647771637546282113236253747905265293074293586832973781883<170>

Sat Apr 01 14:36:55 2017  
Sat Apr 01 14:36:56 2017  
Sat Apr 01 14:36:56 2017  Msieve v. 1.53 (SVN 988)
Sat Apr 01 14:36:56 2017  random seeds: 2621a02c 5af537a8
Sat Apr 01 14:36:56 2017  factoring 

444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444

444444444444444444444444444444444444444444444444444449 (231 digits)
Sat Apr 01 14:36:57 2017  searching for 15-digit factors
Sat Apr 01 14:36:57 2017  commencing number field sieve (231-digit input)
Sat Apr 01 14:36:57 2017  R0: -200000000000000000000000000000000000000
Sat Apr 01 14:36:57 2017  R1: 1
Sat Apr 01 14:36:57 2017  A0: 82
Sat Apr 01 14:36:57 2017  A1: 0
Sat Apr 01 14:36:57 2017  A2: 0
Sat Apr 01 14:36:57 2017  A3: 0
Sat Apr 01 14:36:57 2017  A4: 0
Sat Apr 01 14:36:57 2017  A5: 0
Sat Apr 01 14:36:57 2017  A6: 125
Sat Apr 01 14:36:57 2017  skew 0.93, size 1.572e-011, alpha -0.952, combined = 8.981e-013 rroots = 0
Sat Apr 01 14:36:57 2017  
Sat Apr 01 14:36:57 2017  commencing linear algebra
Sat Apr 01 14:36:59 2017  read 5469780 cycles
Sat Apr 01 14:37:06 2017  cycles contain 16549784 unique relations
Sat Apr 01 14:50:33 2017  read 16549784 relations
Sat Apr 01 14:50:49 2017  using 20 quadratic characters above 4294917295
Sat Apr 01 14:51:50 2017  building initial matrix
Sat Apr 01 14:53:49 2017  memory use: 2221.1 MB
Sat Apr 01 14:53:54 2017  read 5469780 cycles
Sat Apr 01 14:53:55 2017  matrix is 5469580 x 5469780 (1717.7 MB) with weight 505083619 (92.34/col)
Sat Apr 01 14:53:55 2017  sparse part has weight 390115852 (71.32/col)
Sat Apr 01 14:54:18 2017  filtering completed in 1 passes
Sat Apr 01 14:54:19 2017  matrix is 5469580 x 5469780 (1717.7 MB) with weight 505083619 (92.34/col)
Sat Apr 01 14:54:19 2017  sparse part has weight 390115852 (71.32/col)
Sat Apr 01 14:54:47 2017  matrix starts at (0, 0)
Sat Apr 01 14:54:47 2017  matrix is 5469580 x 5469780 (1717.7 MB) with weight 505083619 (92.34/col)
Sat Apr 01 14:54:47 2017  sparse part has weight 390115852 (71.32/col)
Sat Apr 01 14:54:47 2017  saving the first 48 matrix rows for later
Sat Apr 01 14:54:48 2017  matrix includes 64 packed rows
Sat Apr 01 14:54:49 2017  matrix is 5469532 x 5469780 (1640.7 MB) with weight 407076145 (74.42/col)
Sat Apr 01 14:54:49 2017  sparse part has weight 375410499 (68.63/col)
Sat Apr 01 14:54:49 2017  using block size 8192 and superblock size 2457600 for processor cache size 25600 kB
Sat Apr 01 14:55:07 2017  commencing Lanczos iteration (32 threads)
Sat Apr 01 14:55:07 2017  memory use: 1341.9 MB
Sat Apr 01 14:55:13 2017  linear algebra at 0.0%, ETA 6h 0m
Sat Apr 01 14:55:15 2017  checkpointing every 910000 dimensions
Sat Apr 01 20:18:05 2017  lanczos halted after 86493 iterations (dim = 5469529)
Sat Apr 01 20:18:10 2017  recovered 35 nontrivial dependencies
Sat Apr 01 20:18:12 2017  BLanczosTime: 20475
Sat Apr 01 20:18:12 2017  
Sat Apr 01 20:18:12 2017  commencing square root phase
Sat Apr 01 20:18:12 2017  handling dependencies 1 to 64
Sat Apr 01 20:18:12 2017  reading relations for dependency 1
Sat Apr 01 20:18:13 2017  read 2733864 cycles
Sat Apr 01 20:18:16 2017  cycles contain 8265366 unique relations
Sat Apr 01 20:19:22 2017  read 8265366 relations
Sat Apr 01 20:19:54 2017  multiplying 8265366 relations
Sat Apr 01 20:25:47 2017  multiply complete, coefficients have about 263.36 million bits
Sat Apr 01 20:25:49 2017  initial square root is modulo 2826499759
Sat Apr 01 20:31:58 2017  sqrtTime: 826
Sat Apr 01 20:31:59 2017  p61 factor: 7344346423019282523689618364505761514549315503348692251043603
Sat Apr 01 20:31:59 2017  p170 factor: 

60515179819327207008028786770099484875929395886187616368021232354601597490072849946017224439107114698223761981362647771637546282113236253747905265293074293586832973781883
Sat Apr 01 20:31:59 2017  elapsed time 05:55:03

3930487803360775582680292700836155919372447812869643841575384796431060633878439642107559234553368287076559457221804178915213389765042551530206572047945789005851273966947827789169514026907043677152890932475973<208>

13659601390658513448230456052941<32>
287745424698025639154456966447130850880164115053559911188418864753874749169219087552759075029799414729239707510556053468444085057121349623040832995672167639094639581941580536153<177>

GMP-ECM 6.4.4 [configured with GMP 5.1.1] [ECM]
Input number is 3930487803360775582680292700836155919372447812869643841575384796431060633878439642107559234553368287076559457221804178915213389765042551530206572047945789005851273966947827789169514026907043677152890932475973 (208 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1816399192
Step 1 took 26630ms
Step 2 took 7347ms
********** Factor found in step 2: 13659601390658513448230456052941
Found probable prime factor of 32 digits: 13659601390658513448230456052941
Probable prime cofactor 287745424698025639154456966447130850880164115053559911188418864753874749169219087552759075029799414729239707510556053468444085057121349623040832995672167639094639581941580536153 has 177 digits

98969246282748504880779766750717132547566280527972189664451519319320139202022521356418237729661173640389218480069185581891725168359959444220318371212274181670120433091556343334399502521769015885780609<200>

2139937490955353888961730797355957<34>

46248662262823698429019768125723060726452115618428943719333459512533801273784378502023362756222509247914801138584241428680599119964076864254954027795477966499021348637<167>

GMP-ECM 6.4.4 [configured with GMP 5.1.1] [ECM]
Input number is 98969246282748504880779766750717132547566280527972189664451519319320139202022521356418237729661173640389218480069185581891725168359959444220318371212274181670120433091556343334399502521769015885780609 (200 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1402872099
Step 1 took 26161ms
Step 2 took 7254ms
********** Factor found in step 2: 2139937490955353888961730797355957
Found probable prime factor of 34 digits: 2139937490955353888961730797355957
Composite cofactor 46248662262823698429019768125723060726452115618428943719333459512533801273784378502023362756222509247914801138584241428680599119964076864254954027795477966499021348637 has 167 digits

41464606513618933752364067316102343772374755752007536925264068734476814150596468843383910650790192588943807206093277799603713938534171929869444301886224817871925369860460971274762390909511382065974049481<203>

3174163179450273505263646843780901877522819520335532808434519189286430044058558541052616440961732051949335973415943128718531811264822383071507372923879120397247511350732911584162388818337029793680425374339078793547267<217>

6349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349207<235>

97015522983138415921085882262759782414316227202674423955706848297350410797286325065839988285656552810005129695017373308543914257245498409380962492824132050162987598205670918044006173085038736216273752405653374235145871<218>

938795603292114384509966618627741402900160945734464941542605911125221487672515221064160336167832165859115345106001292423729978636802899375006002618292183559046398803636854868258789207158790153491200608565334627007<213>

299199877029522113844676162477687447<36>

3137687129461898902669058538613843783176633100906730834427784305446544725177637227188770199641288935632543871004556820613219042049704338346711484831271777319284167491958688595481<178>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4007114295
Step 1 took 30849ms
Step 2 took 11092ms
********** Factor found in step 2: 299199877029522113844676162477687447
Found probable prime factor of 36 digits: 299199877029522113844676162477687447

725031720137756026826173645096972992568424868588000725031720137756026826173645096972992568424868588000725031720137756026826173645096972992568424868588000725031720137756026826173645096972992568424868588000725031720137756026826173645096973<237>

625021530617606283633970452960701<33>

1160010791022392577752531866799334097963338456342604137793764630522119456747403832045466778585906988569201373439386085581719320458037166802636863519569398343619162886090146582851033458229424682175576905873<205>

GMP-ECM 6.4.4 [configured with GMP 5.1.1] [ECM]
Input number is 725031720137756026826173645096972992568424868588000725031720137756026826173645096972992568424868588000725031720137756026826173645096972992568424868588000725031720137756026826173645096972992568424868588000725031720137756026826173645096973 (237 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1511218749
Step 1 took 34959ms
Step 2 took 9282ms
********** Factor found in step 2: 625021530617606283633970452960701
Found probable prime factor of 33 digits: 625021530617606283633970452960701
Composite cofactor 1160010791022392577752531866799334097963338456342604137793764630522119456747403832045466778585906988569201373439386085581719320458037166802636863519569398343619162886090146582851033458229424682175576905873 has 205 digits

1160010791022392577752531866799334097963338456342604137793764630522119456747403832045466778585906988569201373439386085581719320458037166802636863519569398343619162886090146582851033458229424682175576905873<205>

1801134881778617945888850605188451449854971058093770482843<58>
644044375997473155733145095709328559598854140963970968619203038916086846041926426857969615274663818991359323237624598668185923984129492540213382211<147>

Number: 44449_240
N = 1160010791022392577752531866799334097963338456342604137793764630522119456747403832045466778585906988569201373439386085581719320458037166802636863519569398343619162886090146582851033458229424682175576905873 (205 digits)
SNFS difficulty: 241 digits.
Divisors found:
r1=1801134881778617945888850605188451449854971058093770482843 (pp58)
r2=644044375997473155733145095709328559598854140963970968619203038916086846041926426857969615274663818991359323237624598668185923984129492540213382211 (pp147)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 62.00 hours.
Factorization parameters were as follows:
n: 1160010791022392577752531866799334097963338456342604137793764630522119456747403832045466778585906988569201373439386085581719320458037166802636863519569398343619162886090146582851033458229424682175576905873 
m: 1000000000000000000000000000000000000000000000000000000000000
deg: 4
c4: 4
c0: 41
skew: 1.00
type: snfs
lss: 1
rlim: 500000000
alim: 150000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 8
Number of threads per core: 1
Factor base limits: 500000000/150000000
Large primes per side: 3
Large prime bits: 29/29
Total raw relations: 0
Relations: 13756290 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 18.19 hours.
Total relation processing time: 1.22 hours.
Pruned matrix : 11291713 x 11291938
Matrix solve time: 42.26 hours.
time per square root: 0.33 hours.
Prototype def-par.txt line would be: snfs,241,4,0,0,0,0,0,0,0,0,500000000,150000000,29,29,58,58,2.8,2.8,100000
total time: 62.00 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22631-SP0
processors: 16, speed: 3.79GHz

GGNFS, NFS_factory, Msieve

333742167488506754107114548655436242730678414390962262104411237098779338022410786546853228538292741942212543699365055526353115900311214571183032548204884316621194296346357621419572309412363478594611732705898058454940635611957981861113197<237>

661730360972902250900267361642701<33>

504347672665080332924344966886155084265200387688678132450142753823847123711830617488183800737688276912606866986010867108393847509309491520756780683344160959026905454987731483887754117638290431309879531297<204>

GMP-ECM 6.4.4 [configured with GMP 5.1.1] [ECM]
Input number is 333742167488506754107114548655436242730678414390962262104411237098779338022410786546853228538292741942212543699365055526353115900311214571183032548204884316621194296346357621419572309412363478594611732705898058454940635611957981861113197 (237 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=250956556
Step 1 took 34461ms
Step 2 took 8861ms
********** Factor found in step 2: 661730360972902250900267361642701
Found probable prime factor of 33 digits: 661730360972902250900267361642701
Composite cofactor 504347672665080332924344966886155084265200387688678132450142753823847123711830617488183800737688276912606866986010867108393847509309491520756780683344160959026905454987731483887754117638290431309879531297 has 204 digits

504347672665080332924344966886155084265200387688678132450142753823847123711830617488183800737688276912606866986010867108393847509309491520756780683344160959026905454987731483887754117638290431309879531297<204>

1292944199804667344330336170349331168093479<43>
390076905671006599375647949056618776501386474962819420825558005331740120085206256781177699381494792129004435606672830758084214471266097491548415658280209784692343<162>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2367492611
Step 1 took 26784ms
Step 2 took 10267ms
********** Factor found in step 2: 1292944199804667344330336170349331168093479
Found probable prime factor of 43 digits: 1292944199804667344330336170349331168093479

735969207048377095902307447456398424289927709424637673159754995850973595264774121850741764964553883065532538118605117561881210890136356694835888066443300012327484218060316356363649744894673606856289132862681025425896180503807720684966541<237>

1646048257941764472895758366292009583<37>

447112776613633732312751823056532408788416053733657935548222255681943529722980439247713729797515640795198515454157481799949179913096586051887953646765902424808232525537122149524474537466810822212626627<201>

GMP-ECM 6.4.4 [configured with GMP 5.1.1] [P-1]
Input number is 735969207048377095902307447456398424289927709424637673159754995850973595264774121850741764964553883065532538118605117561881210890136356694835888066443300012327484218060316356363649744894673606856289132862681025425896180503807720684966541 (237 digits)
Using B1=4000000, B2=12710144518, polynomial x^1, x0=2270268000
Step 1 took 11544ms
Step 2 took 2840ms
********** Factor found in step 2: 1646048257941764472895758366292009583
Found probable prime factor of 37 digits: 1646048257941764472895758366292009583
Composite cofactor 447112776613633732312751823056532408788416053733657935548222255681943529722980439247713729797515640795198515454157481799949179913096586051887953646765902424808232525537122149524474537466810822212626627 has 201 digits

447112776613633732312751823056532408788416053733657935548222255681943529722980439247713729797515640795198515454157481799949179913096586051887953646765902424808232525537122149524474537466810822212626627<201>

227186285326210007360798439868551578387579<42>
1968044752224536085896229011845799443342509633423857838261615989913235023749901014037434829242414382097657967611504729343742729977895444872414715884694178573913<160>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=4037916767
Step 1 took 531648ms
Step 2 took 126092ms
********** Factor found in step 2: 227186285326210007360798439868551578387579
Found probable prime factor of 42 digits: 227186285326210007360798439868551578387579

9298796103895390962118319322594680259790742949313369319627204527630953023551264984074267819749865698737715242661852275983829002764488947332177131929892819559595904425633362664921417224881776139005377<199>

13163879991359544113623487837923499961475392276331<50>

706387182958132272184936019690263004193960807049758377027738229187488548778762692340371913509258281966842658255985708495064070597237724863307224475267<150>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1099383854
Step 1 took 528697ms
Step 2 took 127070ms
********** Factor found in step 2: 13163879991359544113623487837923499961475392276331
Found probable prime factor of 50 digits: 13163879991359544113623487837923499961475392276331

706387182958132272184936019690263004193960807049758377027738229187488548778762692340371913509258281966842658255985708495064070597237724863307224475267<150>

104648438109448511115948232300569141856158796925173<51>
6750097714973482235768527061943920336827465637299433202393239772802939785607120757969490688333424279<100>

CADO-NFS

STA:Thu Nov 28 19:57:59 AEDT 2024 (706387182958132272184936019690263004193960807049758377027738229187488548778762692340371913509258281966842658255985708495064070597237724863307224475267 - C150)

./cado-nfs.py -t 16 --no-colors 706387182958132272184936019690263004193960807049758377027738229187488548778762692340371913509258281966842658255985708495064070597237724863307224475267 2>&1 | tee -a log-21

Info:root: Using default parameter file ./parameters/factor/params.c150
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.blhlnap4
Info:Database: Opened connection to database /tmp/cado.blhlnap4/c150.db
Info:root: Set tasks.threads=16 based on --server-threads 16
Info:root: tasks.threads = 16 [via tasks.threads]
Info:root: tasks.polyselect.threads = 2 [via tasks.polyselect.threads]
Info:root: tasks.sieve.las.threads = 2 [via tasks.sieve.las.threads]
Info:root: tasks.linalg.bwc.threads = 16 [via tasks.threads]
Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads]
Info:root: slaves.scriptpath is /home/bob/Math/cado-nfs/build/TrigKey-2
Info:root: Command line parameters: ./cado-nfs.py -t 16 --no-colors 706387182958132272184936019690263004193960807049758377027738229187488548778762692340371913509258281966842658255985708495064070597237724863307224475267
Info:root: If this computation gets interrupted, it can be resumed with ./cado-nfs.py /tmp/cado.blhlnap4/c150.parameters_snapshot.0
Info:Server Launcher: Adding TrigKey-2 to whitelist to allow clients on localhost to connect
Info:HTTP server: Using non-threaded HTTPS server
Info:HTTP server: Using whitelist: localhost,TrigKey-2
Info:Lattice Sieving: param rels_wanted is 163000000
Info:Complete Factorization / Discrete logarithm: Factoring 706387182958132272184936019690263004193960807049758377027738229187488548778762692340371913509258281966842658255985708495064070597237724863307224475267
Info:HTTP server: serving at https://TrigKey-2:44313 (0.0.0.0)
===
Info:Polynomial Selection (root optimized): Finished, best polynomial has Murphy_E = 6.026e-07
Info:Polynomial Selection (root optimized): Best polynomial is:
n: 706387182958132272184936019690263004193960807049758377027738229187488548778762692340371913509258281966842658255985708495064070597237724863307224475267
skew: 1967737.178
c0: -1242734413091821656770740953722934960
c1: 4852968417411040930631443916895
c2: 2723149624398514104312164
c3: -1331763631107349777
c4: -408197879722
c5: 102480
Y0: -116514281064073251080053636594
Y1: 8713502237450629567481
# MurphyE (Bf=2.147e+09,Bg=2.147e+09,area=4.027e+14) = 6.026e-07
# f(x) = 102480*x^5-408197879722*x^4-1331763631107349777*x^3+2723149624398514104312164*x^2+4852968417411040930631443916895*x-1242734413091821656770740953722934960
# g(x) = 8713502237450629567481*x-116514281064073251080053636594
===
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 105606.56, WCT time 7431.01, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (100000 iterations)
Info:Linear Algebra: Lingen CPU time 177.96, WCT time 76.14
Info:Linear Algebra: Mksol: CPU time 55077.3,  WCT time 3872.43, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (52000 iterations)
Info:Quadratic Characters: Starting
Info:Complete Factorization / Discrete logarithm: Quadratic Characters
Info:Quadratic Characters: Total cpu/real time for characters: 72.55/19.1364
Info:Square Root: Starting
Info:Square Root: Creating file of (a,b) values
Info:Square Root: finished
Info:Square Root: Factors: 6750097714973482235768527061943920336827465637299433202393239772802939785607120757969490688333424279 104648438109448511115948232300569141856158796925173
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 3989.45/298.929
Info:HTTP server: Got notification to stop serving Workunits
Info:Quadratic Characters: Total cpu/real time for characters: 72.55/19.1364
Info:Generate Free Relations: Total cpu/real time for freerel: 747.71/59.8734
Info:Filtering - Merging: Total cpu/real time for merge: 430.59/39.3117
Info:Filtering - Merging: Total cpu/real time for replay: 64.53/58.8021
Info:Generate Factor Base: Total cpu/real time for makefb: 3.14/1.28564
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 665.83/432.633
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 432.5s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 3050.42/1531.23
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 1399.8000000000002s
Info:Linear Algebra: Total cpu/real time for bwc: 168883/11962.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 105606.56, WCT time 7431.01, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (100000 iterations)
Info:Linear Algebra: Lingen CPU time 177.96, WCT time 76.14
Info:Linear Algebra: Mksol: CPU time 55077.3,  WCT time 3872.43, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (52000 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 4747.53
Info:Polynomial Selection (root optimized): Rootsieve time: 4805.24
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 161982
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 154684/45.940/56.290/69.400/2.566
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 131229/43.930/48.960/64.490/1.538
Info:Polynomial Selection (size optimized): Total time: 65801.9
Info:Filtering - Singleton removal: Total cpu/real time for purge: 892.39/341.039
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 163120217
Info:Lattice Sieving: Average J: 8101.57 for 720202 special-q, max bucket fill -bkmult 1.0,1s:1.073000
Info:Lattice Sieving: Total time: 686646s
Info:Square Root: Total cpu/real time for sqrt: 3989.45/298.929
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 1.5437e+06/107057 [1d 05:44:17]
Info:root: Cleaning up computation data in /tmp/cado.blhlnap4
6750097714973482235768527061943920336827465637299433202393239772802939785607120757969490688333424279 104648438109448511115948232300569141856158796925173

END:Sat Nov 30 01:42:17 AEDT 2024 (706387182958132272184936019690263004193960807049758377027738229187488548778762692340371913509258281966842658255985708495064070597237724863307224475267 - C150)

CADO-NFS

994278348685216818565758929447654848862171514162189309903613206934466270478597523910581290383691186896780254413825002674138336167434682963836100851156573968051696613006071376805996999644812249<192>

269139627889169234183537620658344273969537454270519207075727048396700200841236690099121929088456516098619818187140328287259574896411885297120602305769048762311344460568508514805439752886720716485662213008763133747343137229458549216633293<237>

52764453256121897526636587809828253<35>

5100775451661537108073459144085288781453145156666400347950701441196287296723752437614201222586507390876995993484818123957369324788502029846093175285868955362054675068316776078085891910659685256786781681<202>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3201360893
Step 1 took 35003ms
Step 2 took 12290ms
********** Factor found in step 2: 52764453256121897526636587809828253
Found probable prime factor of 35 digits: 52764453256121897526636587809828253

844123389434160934786785590404226633553384733501807380465781880186898416804169675159549719414433683419697237786843418157034798438612293488318051811911450978255704626867949873701246678343943915354666559971487289069807161837043317<228>

466667666693995778651942885663664033244266054924232423506188173954819201716093770868146413095554568085633878042446379636348243604989612282048860634566704368891573950411436116467699394817806205363047810689831<207>

19811987575017617444111583935226619<35>
23554813212302390768414175599515977394288736971846250860044941653213584753081051673764551713611526346002100354452627244474802671535484961928138520462554653387779297039204549<173>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1827913782
Step 1 took 34455ms
Step 2 took 11757ms
********** Factor found in step 2: 19811987575017617444111583935226619
Found probable prime factor of 35 digits: 19811987575017617444111583935226619

22490110618876188291006735306635817597431156513418697635359264990903206549972365802723581548201343790072223602033436424114643610138851765397481672562249833737869396001270565011872999207795282511<194>

26687164698952846096086962621<29>

842731360658880998522508029059688290280373625824263806977366461823668627265582000555097331911480917057652808949716881521853413148264730837679627116748984689967204091<165>

GMP-ECM 6.4.4 [configured with GMP 6.0.0] [ECM]
Input number is 22490110618876188291006735306635817597431156513418697635359264990903206549972365802723581548201343790072223602033436424114643610138851765397481672562249833737869396001270565011872999207795282511 (194 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1638257081
Step 1 took 5835ms
********** Factor found in step 1: 26687164698952846096086962621
Found probable prime factor of 29 digits: 26687164698952846096086962621
Composite cofactor 842731360658880998522508029059688290280373625824263806977366461823668627265582000555097331911480917057652808949716881521853413148264730837679627116748984689967204091 has 165 digits

842731360658880998522508029059688290280373625824263806977366461823668627265582000555097331911480917057652808949716881521853413148264730837679627116748984689967204091<165>

27751798604556528556996429603549716503803<41>
30366729474626344704331628573183664867288107905681761137708657338426071683152327318444682082571429545153325457655479780138497<125>

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=1813902413
Step 1 took 40335ms
Step 2 took 22119ms
********** Factor found in step 2: 27751798604556528556996429603549716503803
Found probable prime factor of 41 digits: 27751798604556528556996429603549716503803
Probable prime cofactor 

65205582360755394282588702699238876428917169528042483914720161848080089278179256699070743834799961743884828944810174405208126356551199154296637897474687233681043731411620492230094655194592122862444862770858079870676464392266611411456174162545551601<248>

12337208605875593574994231480243432640749552273606512605464510020203959875408659195446581451774297924659488844912782610442279655457695223907431706416178340994342447801500259664438032688293507050081409386281700381219833850078380705416189979303<242>

444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449<258>

4542687835598332435729092715778052205499548820635569495490271<61>
97837329028333992283159535861581274132986197247689256721200794836080355126151636561284849945131746570354320113544717925411837039406730919689230226722674092174692642900457056016772841589475735288319<197>

p61:4542687835598332435729092715778052205499548820635569495490271
p197:97837329028333992283159535861581274132986197247689256721200794836080355126151636561284849945131746570354320113544717925411837039406730919689230226722674092174692642900457056016772841589475735288319

GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc] [ECM] B1=110000000

found by yoyo@home, 2024-03-11

5167137983321459148627728333191925824776133249848709746008972441697214758663587046926650958337048977791160781247971335012884710364188319427257916087487162350166424785991132683099797538115870170905097377<202>

19032772580919104752022377538538103<35>

271486351310773385651875418423936882276586836762053904603918660813524919176957141513343691344586477107197467810227383782294383366667243555207164249465159352798447413159<168>

Input number is 5167137983321459148627728333191925824776133249848709746008972441697214758663587046926650958337048977791160781247971335012884710364188319427257916087487162350166424785991132683099797538115870170905097377 (202 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3932444145
Step 1 took 6411ms
Step 2 took 3464ms
********** Factor found in step 2: 19032772580919104752022377538538103
Found probable prime factor of 35 digits: 19032772580919104752022377538538103
Composite cofactor

GMP-ECM 6.4.4