2613519125494065116104920898710776208411387878266129214050977218917923341224771005061211782302690175095868199383407515341058443407151053865673029039<148>

24629981367007296663635744349139127212651564923379917379247<59>
106111291216604957235287331858373630426835509120007905601583219050565604016518888425492737<90>

Number: n
N=2613519125494065116104920898710776208411387878266129214050977218917923341224771005061211782302690175095868199383407515341058443407151053865673029039
  ( 148 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=24629981367007296663635744349139127212651564923379917379247 (pp59)
 r2=106111291216604957235287331858373630426835509120007905601583219050565604016518888425492737 (pp90)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 37.18 hours.
Scaled time: 44.43 units (timescale=1.195).
Factorization parameters were as follows:
name: KA_1_9_157_1
n: 2613519125494065116104920898710776208411387878266129214050977218917923341224771005061211782302690175095868199383407515341058443407151053865673029039
type: snfs
skew: 0.68
deg: 5
c5: 125
c0: -18
m: 20000000000000000000000000000000
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1500001)
Primes: RFBsize:216816, AFBsize:216826, largePrimes:6772566 encountered
Relations: rels:6340882, finalFF:591658
Max relations in full relation-set: 28
Initial matrix: 433708 x 591658 with sparse part having weight 33045348.
Pruned matrix : 297330 x 299562 with weight 16786027.
Total sieving time: 34.67 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 2.20 hours.
Total square root time: 0.08 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.3,2.3,100000
total time: 37.18 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD XP 2700+

126038090055408555107408847579488891171318490786133096772283218499151669830811145264505896403808824896321957494548755525749518542444599661<138>

40930808775623536636245772098276860041853369431<47>
3079296349757713797324715535825813229817563878384139018839754824005144136790174117702778331<91>

Number: 19991_159
N=126038090055408555107408847579488891171318490786133096772283218499151669830811145264505896403808824896321957494548755525749518542444599661
  ( 138 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=40930808775623536636245772098276860041853369431 (pp47)
 r2=3079296349757713797324715535825813229817563878384139018839754824005144136790174117702778331 (pp91)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 23.56 hours.
Scaled time: 50.48 units (timescale=2.143).
Factorization parameters were as follows:
n: 126038090055408555107408847579488891171318490786133096772283218499151669830811145264505896403808824896321957494548755525749518542444599661
m: 100000000000000000000000000000000
c5: 1
c0: -45
skew: 2.14
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, 3300001)
Primes: RFBsize:283146, AFBsize:283177, largePrimes:5644839 encountered
Relations: rels:5726943, finalFF:702143
Max relations in full relation-set: 28
Initial matrix: 566387 x 702143 with sparse part having weight 41923918.
Pruned matrix : 452126 x 455021 with weight 25213445.
Total sieving time: 22.45 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.97 hours.
Time per square root: 0.04 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: 23.56 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407683)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129)
Total of 4 processors activated (19246.12 BogoMIPS).

Core 2 Quad Q6600

126069373207373321436708046654043582257956838503880528523913166513739523221993375991519276144852178818516438085011957703665140363189809<135>

514829968216555250825419476063055331353216130401<48>
244875747315362559771904473968778705005860870814895857896156971504755878896463497536209<87>

Number: n
N=126069373207373321436708046654043582257956838503880528523913166513739523221993375991519276144852178818516438085011957703665140363189809
  ( 135 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=514829968216555250825419476063055331353216130401 (pp48)
 r2=244875747315362559771904473968778705005860870814895857896156971504755878896463497536209 (pp87)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 39.32 hours.
Scaled time: 46.99 units (timescale=1.195).
Factorization parameters were as follows:
name: KA_1_9_159_1
n: 126069373207373321436708046654043582257956838503880528523913166513739523221993375991519276144852178818516438085011957703665140363189809
type: snfs
skew: 1.35
deg: 5
c5: 2
c0: -9
m: 100000000000000000000000000000000
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 algebraic special-q in [100000, 1600001)
Primes: RFBsize:230209, AFBsize:230337, largePrimes:6544960 encountered
Relations: rels:6024747, finalFF:519640
Max relations in full relation-set: 28
Initial matrix: 460611 x 519640 with sparse part having weight 28682777.
Pruned matrix : 405415 x 407782 with weight 18445497.
Total sieving time: 35.33 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 3.68 hours.
Total square root time: 0.09 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,3200000,3200000,28,28,48,48,2.3,2.3,100000
total time: 39.32 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD XP 2700+

397392778382916963637700048853965083487465415508744847291870178477993817516199866163976430024051422843226002208841256962925794882719231<135>

10380464989853334806493414428274868458216509448469<50>
38282753110901991590906115105218234489358257188870210443245138602465182775068426383299<86>

N=397392778382916963637700048853965083487465415508744847291870178477993817516199866163976430024051422843226002208841256962925794882719231
  ( 135 digits)

SNFS difficulty: 165 digits.

Divisors found:

 r1=10380464989853334806493414428274868458216509448469 (pp50)

 r2=38282753110901991590906115105218234489358257188870210443245138602465182775068426383299 (pp86)

Version: GGNFS-0.77.1-20060513-prescott

Total time: 59.33 hours.

Scaled time: 68.94 units (timescale=1.162).

Factorization parameters were as follows:

n: 397392778382916963637700048853965083487465415508744847291870178477993817516199866163976430024051422843226002208841256962925794882719231
m: 1000000000000000000000000000000000
c5: 2
c0: -9
skew: 1.35
type: snfs


Factor base limits: 5000000/5000000

Large primes per side: 3

Large prime bits: 27/27

Max factor residue bits: 48/48

Sieved algebraic special-q in [2500000, 4800001)

Primes: RFBsize:348513, AFBsize:348526, largePrimes:5812903 encountered

Relations: rels:6016526, finalFF:840605

Max relations in full relation-set: 28

Initial matrix: 697104 x 840605 with sparse part having weight 45363679.

Pruned matrix : 575958 x 579507 with weight 29914315.

Total sieving time: 52.99 hours.

Total relation processing time: 0.09 hours.

Matrix solve time: 6.00 hours.

Time per square root: 0.24 hours.

Prototype def-par.txt line would be:

snfs,165,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,48,48,2.5,2.5,100000

total time: 59.33 hours.

19999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991<167>

4342608369450320053307697679764984011450663<43>
4605526977909722451833107953713650779997398871974627226660275324682668177795505331963035514480056136584527504258436835169457<124>

Number: 19991_166
N=19999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991
  ( 167 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=4342608369450320053307697679764984011450663 (pp43)
 r2=4605526977909722451833107953713650779997398871974627226660275324682668177795505331963035514480056136584527504258436835169457 (pp124)
Version: GGNFS-0.77.1-20050930-k8
Total time: 69.64 hours.
Scaled time: 63.03 units (timescale=0.905).
Factorization parameters were as follows:
n: 19999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991
m: 1000000000000000000000000000000000
c5: 20
c0: -9
skew: 1
type: snfs
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [3000000, 5700001)
Primes: RFBsize:412849, AFBsize:412306, largePrimes:5923360 encountered
Relations: rels:6223470, finalFF:960819
Max relations in full relation-set: 28
Initial matrix: 825222 x 960819 with sparse part having weight 43152556.
Pruned matrix : 703215 x 707405 with weight 28666743.
Total sieving time: 66.35 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 3.11 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,48,48,2.5,2.5,100000
total time: 69.64 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 06
Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 06
Memory: 4037276k/5242880k available (2106k kernel code, 0k reserved, 1297k data, 196k init)
Calibrating delay using timer specific routine.. 4671.60 BogoMIPS (lpj=2335804)
Calibrating delay using timer specific routine.. 4668.47 BogoMIPS (lpj=2334238)
Total of 2 processors activated (9340.08 BogoMIPS).

Core 2 Duo E6300@2.33GHz

707628975225622987615972826254806883824577800513582250010277426328933141866387485335318251478947211830209140203586766770644842719181945240138828454917359567819<159>

213778048882883699682952867750597400299228114685941<51>
253294029617274149322595661355934135791715095080163601<54>
13068253350533572176578369071664035808002504957074122959<56>

Number: n
N=707628975225622987615972826254806883824577800513582250010277426328933141866387485335318251478947211830209140203586766770644842719181945240138828454917359567819
  ( 159 digits)
SNFS difficulty: 167 digits.
Divisors found:

Fri Nov 16 05:59:23 2007  prp51 factor: 213778048882883699682952867750597400299228114685941
Fri Nov 16 05:59:23 2007  prp54 factor: 253294029617274149322595661355934135791715095080163601
Fri Nov 16 05:59:23 2007  prp56 factor: 13068253350533572176578369071664035808002504957074122959
Fri Nov 16 05:59:23 2007  elapsed time 01:49:33 (Msieve 1.29)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 62.94 hours.
Scaled time: 82.45 units (timescale=1.310).
Factorization parameters were as follows:
name: KA_1_9_166_1
n: 707628975225622987615972826254806883824577800513582250010277426328933141866387485335318251478947211830209140203586766770644842719181945240138828454917359567819
skew: 0.54
deg: 5
c5: 200
c0: -9
m: 1000000000000000000000000000000000
type: snfs
rlim: 3200000
alim: 3200000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
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, 2600001)
Primes: RFBsize:230209, AFBsize:230472, largePrimes:7397646 encountered
Relations: rels:6871280, finalFF:499906
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 62.61 hours.
Total relation processing time: 0.33 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,3200000,3200000,28,28,48,48,2.5,2.5,100000
total time: 62.94 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

394100174697043004838539593002983099367808553229957770683998441635701130267488944600681360858762371681150198206332923818452547248578192678671290989<147>

334794278410722364007416315208828631701999789<45>

1177141307694526201464716642183051523982966901517506432181852284630204945543901005711357960481491140801<103>

C147=P45*C103
C147=334794278410722364007416315208828631701999789<45>*1177141307694526201464716642183051523982966901517506432181852284630204945543901005711357960481491140801<103>

1177141307694526201464716642183051523982966901517506432181852284630204945543901005711357960481491140801<103>

5034377696798900669436721889289682064351<40>
233820618672097095012926459422107581471500507709899340258393951<63>

Number: 19991_171
N=1177141307694526201464716642183051523982966901517506432181852284630204945543901005711357960481491140801
  ( 103 digits)
Divisors found:
 r1=5034377696798900669436721889289682064351
 r2=233820618672097095012926459422107581471500507709899340258393951
Version: 
Total time: 3.55 hours.
Scaled time: 8.41 units (timescale=2.373).
Factorization parameters were as follows:
name: 19991_171
n: 1177141307694526201464716642183051523982966901517506432181852284630204945543901005711357960481491140801
skew: 5404.07
# norm 2.21e+13
c5: 43680
c4: -5969942
c3: -1865578457695
c2: -7134246430272257
c1: 9256714106389184315
c0: 106135789530131846696475
# alpha -5.04
Y1: 78574733761
Y0: -30627336107087582486
# Murphy_E 2.77e-09
# M 912930077984427313258403547379730171018387886625134225735594264395813050211885657140230567293533718485
type: gnfs
rlim: 1500000
alim: 1500000
lpbr: 26
lpba: 26
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 50/50
Sieved algebraic special-q in [750000, 1350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4960858
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 221323 x 221571
Polynomial selection time: 0.28 hours.
Total sieving time: 2.84 hours.
Total relation processing time: 0.29 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
gnfs,102,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1500000,1500000,26,26,50,50,2.6,2.6,50000
total time: 3.55 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673795)
Calibrating delay using timer specific routine.. 5344.71 BogoMIPS (lpj=2672355)
Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672378)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672339)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

285555458356763129168067288530927414585092843830940080941964946733783405647248783370316145632743341813305821377190485658733089506833402589555843929521<150>

66028934282635233891831912901618375839864457254966050086431689<62>
4324701912262433203651625569596822613898499886371331781703808091038595706400686381022889<88>

Number: 19991_172
N=285555458356763129168067288530927414585092843830940080941964946733783405647248783370316145632743341813305821377190485658733089506833402589555843929521
  ( 150 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=66028934282635233891831912901618375839864457254966050086431689
 r2=4324701912262433203651625569596822613898499886371331781703808091038595706400686381022889
Version: 
Total time: 69.35 hours.
Scaled time: 139.46 units (timescale=2.011).
Factorization parameters were as follows:
n: 285555458356763129168067288530927414585092843830940080941964946733783405647248783370316145632743341813305821377190485658733089506833402589555843929521
m: 20000000000000000000000000000000000
deg: 5
c5: 25
c0: -36
skew: 1.08
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2650000, 4850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 674254 x 674502
Total sieving time: 69.35 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,172,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,52,52,2.4,2.4,100000
total time: 69.35 hours.
 --------- CPU info (if available) ----------

31686957589073285761807892819215013307369356205862482210093434465028676670208122044783251013705066347584945209277538832643533321847488377330977281<146>

174469979351152785406123306399771303<36>
181618394791561707872745497404891429823321019239014722523833973110879902107321452734442912936754551424231080727<111>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3677067375
Step 1 took 47396ms
Step 2 took 15678ms
********** Factor found in step 2: 174469979351152785406123306399771303
Found probable prime factor of 36 digits: 174469979351152785406123306399771303
Probable prime cofactor 181618394791561707872745497404891429823321019239014722523833973110879902107321452734442912936754551424231080727 has 111 digits

GMP-ECM 6.2.1

863770309708800587661565784926991363552067036251619250125149999067901342834852215125908090950700120597465563999602721827174720277628477497212972232080890977011<159>

2999235301404108672880852229001943743610905187225557697685545402923389<70>
287996846831064477423205097882532373558238456659108938210015914290084744018871680277303599<90>

SNFS difficulty: 175 digits.
Divisors found:
 r1=2999235301404108672880852229001943743610905187225557697685545402923389
 r2=287996846831064477423205097882532373558238456659108938210015914290084744018871680277303599
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.739).
Factorization parameters were as follows:
n: 863770309708800587661565784926991363552067036251619250125149999067901342834852215125908090950700120597465563999602721827174720277628477497212972232080890977011
Y1: 1
Y0: -100000000000000000000000000000000000
c5: 2
c0: -9
skew: 1.35
type: snfs
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved rational special-q in [3700000, 6400001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1083635 x 1083883
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,175,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,54,54,2.6,2.6,100000
total time: 35.00 hours.

Msieve-1.38

Opteron-2.6GHz; Linux x86_64

6728867636922855570641514812011010737183113846390327374589159427954663065653159846521757274613750153798137304895220080364758816748940504406121269869583292983<157>

671851302766021349481441049<27>

10015412055048508505562981822117361493985212600568876345607115690865494900174994593465034317095895575473501050630145079867266172367<131>

this faktor is from the database http://factordb.com/search.php
671851302766021349481441049

Syd`s Database

workers from database http://factordb.com/search.php

10015412055048508505562981822117361493985212600568876345607115690865494900174994593465034317095895575473501050630145079867266172367<131>

21877620172248112352137872588858671<35>
457792574155442948477112056665511633163701347669187524881302075112906813001557315246521154535777<96>

Factor=21877620172248112352137872588858671  Method=ECM  B1=11000000  Sigma=4212978986

ECMNET

4107199516776429689449802136950335929831210546914471632007192360209740455308748824686224793397949054701686561638856055270284791123344636105057961525788657721<157>

221280173552000716911237096439263441890326348361377<51>
18561082318616494135355771282942297359949369034556643650271161463829648378462904777206533132526875781163673<107>

Number: n
N=4107199516776429689449802136950335929831210546914471632007192360209740455308748824686224793397949054701686561638856055270284791123344636105057961525788657721
  ( 157 digits)
SNFS difficulty: 178 digits.
Divisors found:

Tue Jan 17 02:18:59 2012  prp51 factor: 221280173552000716911237096439263441890326348361377
Tue Jan 17 02:18:59 2012  prp107 factor: 18561082318616494135355771282942297359949369034556643650271161463829648378462904777206533132526875781163673
Tue Jan 17 02:18:59 2012  elapsed time 02:24:43 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.652).
Factorization parameters were as follows:
name: KA_19991_178
n: 4107199516776429689449802136950335929831210546914471632007192360209740455308748824686224793397949054701686561638856055270284791123344636105057961525788657721
m: 100000000000000000000000000000000000
deg: 5
c5: 2000
c0: -9
skew: 0.34
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 13100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7086279 hash collisions in 77997278 relations
Msieve: matrix is 1004610 x 1004858 (277.1 MB)

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

18310049093236158588502098636688265428627234636884328216880988842158682706816889088159635441687273316662911959974181286979<122>

11175180923359872868625684424731<32>

1638456613705646625512724389739829497429579295062517050049568260367385691018719269270812409<91>

P1: 11175180923359872868625684424731 (P32)
C1: 1638456613705646625512724389739829497429579295062517050049568260367385691018719269270812409 (C91)

P1 w/ ECM, B1=250e3

1638456613705646625512724389739829497429579295062517050049568260367385691018719269270812409<91>

38745744185364135989275373176013064492968519<44>
42287395639301185430766513250585783292869637311<47>

Fri Jan 26 22:27:14 2007  
Fri Jan 26 22:27:14 2007  
Fri Jan 26 22:27:14 2007  Msieve v. 1.16
Fri Jan 26 22:27:14 2007  random seeds: a6eb1203 b5238d3a
Fri Jan 26 22:27:14 2007  factoring 1638456613705646625512724389739829497429579295062517050049568260367385691018719269270812409 (91 digits)
Fri Jan 26 22:27:14 2007  using multiplier of 41
Fri Jan 26 22:27:14 2007  sieve interval: 9 blocks of size 65536
Fri Jan 26 22:27:14 2007  processing polynomials in batches of 6
Fri Jan 26 22:27:14 2007  using a sieve bound of 1648483 (62353 primes)
Fri Jan 26 22:27:14 2007  using large prime bound of 145066504 (27 bits)
Fri Jan 26 22:27:14 2007  using double large prime bound of 490705292959992 (42-49 bits)
Fri Jan 26 22:27:14 2007  using trial factoring cutoff of 51 bits
Fri Jan 26 22:27:14 2007  polynomial 'A' values have 12 factors
Sat Jan 27 01:15:16 2007  62806 relations (17263 full + 45543 combined from 679877 partial), need 62449
Sat Jan 27 01:15:17 2007  begin with 697140 relations
Sat Jan 27 01:15:19 2007  reduce to 149952 relations in 11 passes
Sat Jan 27 01:15:19 2007  attempting to read 149952 relations
Sat Jan 27 01:15:21 2007  recovered 149952 relations
Sat Jan 27 01:15:21 2007  recovered 133574 polynomials
Sat Jan 27 01:15:21 2007  attempting to build 62806 cycles
Sat Jan 27 01:15:21 2007  found 62806 cycles in 5 passes
Sat Jan 27 01:15:21 2007  distribution of cycle lengths:
Sat Jan 27 01:15:21 2007     length 1 : 17263
Sat Jan 27 01:15:21 2007     length 2 : 12770
Sat Jan 27 01:15:21 2007     length 3 : 11417
Sat Jan 27 01:15:21 2007     length 4 : 8177
Sat Jan 27 01:15:21 2007     length 5 : 5706
Sat Jan 27 01:15:21 2007     length 6 : 3337
Sat Jan 27 01:15:21 2007     length 7 : 1922
Sat Jan 27 01:15:21 2007     length 9+: 2214
Sat Jan 27 01:15:21 2007  largest cycle: 18 relations
Sat Jan 27 01:15:22 2007  matrix is 62353 x 62806 with weight 3655627 (avg 58.21/col)
Sat Jan 27 01:15:22 2007  filtering completed in 4 passes
Sat Jan 27 01:15:22 2007  matrix is 60789 x 60853 with weight 3464835 (avg 56.94/col)
Sat Jan 27 01:15:23 2007  saving the first 48 matrix rows for later
Sat Jan 27 01:15:23 2007  matrix is 60741 x 60853 with weight 2679405 (avg 44.03/col)
Sat Jan 27 01:15:23 2007  matrix includes 32 packed rows
Sat Jan 27 01:17:20 2007  lanczos halted after 962 iterations
Sat Jan 27 01:17:20 2007  recovered 17 nontrivial dependencies
Sat Jan 27 01:17:23 2007  prp44 factor: 38745744185364135989275373176013064492968519
Sat Jan 27 01:17:23 2007  prp47 factor: 42287395639301185430766513250585783292869637311
Sat Jan 27 01:17:23 2007  elapsed time 02:50:09

Msieve v. 1.16

728903753881658350795823500615981656593043611404566093167778297630231023194835715599656703023603236285805685407552734602578652813338479370291733774111<150>

720124831099404032414004397163732542365451969<45>
1012190834704104933514976220750778239330826955459392216982460060901542283935837926598805692017448206884319<106>

N=728903753881658350795823500615981656593043611404566093167778297630231023194835715599656703023603236285805685407552734602578652813338479370291733774111
  ( 150 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=720124831099404032414004397163732542365451969 (pp45)
 r2=1012190834704104933514976220750778239330826955459392216982460060901542283935837926598805692017448206884319 (pp106)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 87.63 hours.
Scaled time: 163.16 units (timescale=1.862).
Factorization parameters were as follows:
n: 728903753881658350795823500615981656593043611404566093167778297630231023194835715599656703023603236285805685407552734602578652813338479370291733774111
m: 1000000000000000000000000000000000000
deg: 5
c5: 200
c0: -9
skew: 0.54
# Murphy_E = 1.219e-10
type: snfs
lss: 1
rlim: 7600000
alim: 7600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7600000/7600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3800000, 8200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1455462 x 1455687
Total sieving time: 85.20 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 2.14 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,182.000,5,0,0,0,0,0,0,0,0,7600000,7600000,28,28,53,53,2.5,2.5,100000
total time: 87.63 hours.
 --------- CPU info (if available) ----------

389198117604384394634436911082435858690725856435322764917915198011353298288637497175881159133185736433867163958074800375420504241189187064377844430117629293074161117512339039821<177>

199744837434442791340990120371036864210437097079699444679911<60>
1948476479308863608330608439312461206938858412379710908007928999570893351886680145473233888864975347874868634937712811<118>

Number: 19991_183
N=389198117604384394634436911082435858690725856435322764917915198011353298288637497175881159133185736433867163958074800375420504241189187064377844430117629293074161117512339039821
  ( 177 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=199744837434442791340990120371036864210437097079699444679911
 r2=1948476479308863608330608439312461206938858412379710908007928999570893351886680145473233888864975347874868634937712811
Version: 
Total time: 168.64 hours.
Scaled time: 317.05 units (timescale=1.880).
Factorization parameters were as follows:
n: 389198117604384394634436911082435858690725856435322764917915198011353298288637497175881159133185736433867163958074800375420504241189187064377844430117629293074161117512339039821
m: 2000000000000000000000000000000000000
deg: 5
c5: 125
c0: -18
skew: 0.68
type: snfs
lss: 1
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
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, 5500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1426873 x 1427120
Total sieving time: 168.64 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,183,5,0,0,0,0,0,0,0,0,8000000,8000000,28,28,53,53,2.5,2.5,100000
total time: 168.64 hours.
 --------- CPU info (if available) ----------

59180527171375059878210407634966176176299755971736156913040388571767034207133107622836043757275882868752212446119287097923960247043151231543775404099179531446176311781<167>

41923145739683839081792694069691701563673251<44>
1411643285044701092494671131705837219943076551220724985129379796388243775339249001499306233048351268769249907355874986691031<124>

N=59180527171375059878210407634966176176299755971736156913040388571767034207133107622836043757275882868752212446119287097923960247043151231543775404099179531446176311781
  ( 167 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=41923145739683839081792694069691701563673251 (pp44)
 r2=1411643285044701092494671131705837219943076551220724985129379796388243775339249001499306233048351268769249907355874986691031 (pp124)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 110.46 hours.
Scaled time: 212.53 units (timescale=1.924).
Factorization parameters were as follows:
n: 59180527171375059878210407634966176176299755971736156913040388571767034207133107622836043757275882868752212446119287097923960247043151231543775404099179531446176311781
m: 10000000000000000000000000000000000000
deg: 5
c5: 2
c0: -9
skew: 1.35
# Murphy_E = 9.539e-11
type: snfs
lss: 1
rlim: 8600000
alim: 8600000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 8600000/8600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4300000, 9700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1567365 x 1567592
Total sieving time: 107.77 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 2.40 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,185.000,5,0,0,0,0,0,0,0,0,8600000,8600000,28,28,54,54,2.5,2.5,100000
total time: 110.46 hours.
 --------- CPU info (if available) ----------

4635805556487289665034939157882645567714761867371559512727910937870783483097669657130391203420716022208665008843877387800755993605307864525001795879103430635215868003019881<172>

4863112952611000814088932508306690169<37>
35054895007074389149555082237116177199951<41>
27193316925340364197216164300107244882363333786168809594227912799048158910622017930873881006399<95>

Factor=4863112952611000814088932508306690169  Method=ECM  B1=11000000  Sigma=3952842734
Factor=35054895007074389149555082237116177199951  Method=ECM  B1=11000000  Sigma=2024333617

ECMNET

424730979321609056444211982014719865751281575611959204819716385342249694232869193979489060533511688985047286901474261914078857029889<132>

11850267833117636089279825943451630668842365234326345903782094263<65>
35841466648932980827554785774378751162588213168557293505385813501703<68>

N = 424730979321609056444211982014719865751281575611959204819716385342249694232869193979489060533511688985047286901474261914078857029889 (132 digits)
Divisors found:
r1=11850267833117636089279825943451630668842365234326345903782094263 (pp65)
r2=35841466648932980827554785774378751162588213168557293505385813501703 (pp68)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 35.94 hours.
Factorization parameters were as follows:
n: 424730979321609056444211982014719865751281575611959204819716385342249694232869193979489060533511688985047286901474261914078857029889
Y0: -24115140840764330089204633
Y1: 415589386019699
c0: 533918440835784793304957895536160
c1: 866439391895401154778358452
c2: -9811553603072832927099
c3: -26377614099474532
c4: -42097964546
c5: 52080
skew: 492929.07
type: gnfs
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 20864717
Relations: 2874550 relations
Pruned matrix : 1642269 x 1642496
Polynomial selection time: 0.00 hours.
Total sieving time: 32.99 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 2.68 hours.
time per square root: 0.16 hours.
Prototype def-par.txt line would be: gnfs,131,5,65,2000,1e-05,0.28,250,20,50000,3600,8000000,8000000,28,28,55,55,2.5,2.5,100000
total time: 35.94 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

2452962999446689235894806536894865607763530227902453645920418523313364727701905618716995144031226762299719971411746777858385590158275484242433139924681941409559<160>

10235905476260465357569393480049424439910731<44>
239642990562554755138199160662108731331039477467670418812099221776208598926253211177900837301269273760076660147119589<117>

N=2452962999446689235894806536894865607763530227902453645920418523313364727701905618716995144031226762299719971411746777858385590158275484242433139924681941409559
  ( 160 digits)
SNFS difficulty: 190 digits.
Divisors found:
 r1=10235905476260465357569393480049424439910731 (pp44)
 r2=239642990562554755138199160662108731331039477467670418812099221776208598926253211177900837301269273760076660147119589 (pp117)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 179.05 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 2452962999446689235894806536894865607763530227902453645920418523313364727701905618716995144031226762299719971411746777858385590158275484242433139924681941409559
m: 100000000000000000000000000000000000000
deg: 5
c5: 1
c0: -45
skew: 2.14
# Murphy_E = 6.364e-11
type: snfs
lss: 1
rlim: 10300000
alim: 10300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 800000
Factor base limits: 10300000/10300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5150000, 13150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1626219 x 1626442
Total sieving time: 175.74 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 2.76 hours.
Time per square root: 0.29 hours.
Prototype def-par.txt line would be:
snfs,190.000,5,0,0,0,0,0,0,0,0,10300000,10300000,28,28,54,54,2.5,2.5,100000
total time: 179.05 hours.
 --------- CPU info (if available) ----------

81539601695013371282290983020963203529956783349650803941038865176314430561906707087346424384268609641072428783668590595660541321733939776427776966477112441503411463584554429457<176>

6341277798583167100964294139041<31>

12858544332063764802366493225515225101584850394070024668839640798512169654437259875263905765286911656048536478681211912178185911830250229168171377<146>

Factor=6341277798583167100964294139041  Method=ECM  B1=11000000  Sigma=511965629

ECMNET

12858544332063764802366493225515225101584850394070024668839640798512169654437259875263905765286911656048536478681211912178185911830250229168171377<146>

50680062607953557679144633161928029907736514165318468273<56>
253719977252865278207737749414682282553737607421048350784017208805958954385289780911162049<90>

N=12858544332063764802366493225515225101584850394070024668839640798512169654437259875263905765286911656048536478681211912178185911830250229168171377
  ( 146 digits)
SNFS difficulty: 190 digits.
Divisors found:
 r1=50680062607953557679144633161928029907736514165318468273 (pp56)
 r2=253719977252865278207737749414682282553737607421048350784017208805958954385289780911162049 (pp90)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 196.03 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 12858544332063764802366493225515225101584850394070024668839640798512169654437259875263905765286911656048536478681211912178185911830250229168171377
m: 100000000000000000000000000000000000000
deg: 5
c5: 2
c0: -9
skew: 1.35
# Murphy_E = 5.954e-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, 14000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1662248 x 1662473
Total sieving time: 192.34 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 2.81 hours.
Time per square root: 0.61 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: 196.03 hours.
 --------- CPU info (if available) ----------

961101391439344963268867297318974030031246847887780263773315779136785824177360881895103568045666155953405612322742268311732659652516675229279146565030835256216896364292795886716708973549<186>

1389008490432229693915637396036821<34>

691933417297017957104478334368940847492681960800916503025598061193956200601528866970042838166170253705478669766997332550958436576230148828520831637814969<153>

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

961101391439344963268867297318974030031246847887780263773315779136785824177360881895103568045666155953405612322742268311732659652516675229279146565030835256216896364292795886716708973549
=
1389008490432229693915637396036821* 691933417297017957104478334368940847492681960800916503025598061193956200601528866970042838166170253705478669766997332550958436576230148828520831637814969

691933417297017957104478334368940847492681960800916503025598061193956200601528866970042838166170253705478669766997332550958436576230148828520831637814969<153>

310861426140260523240902716508563733925361806968967431281237529<63>
2225858080522405948399703682333691692970213094391845788236988586145031483854419913255123361<91>

691933417297017957104478334368940847492681960800916503025598061193956200601528866970042838166170253705478669766997332550958436576230148828520831637814969=310861426140260523240902716508563733925361806968967431281237529*2225858080522405948399703682333691692970213094391845788236988586145031483854419913255123361

cado polynomial
n: 691933417297017957104478334368940847492681960800916503025598061193956200601528866970042838166170253705478669766997332550958436576230148828520831637814969
skew: 0.34
type: snfs
c0: -9
c5: 2000
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 2000*x^5-9
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 11700000
tasks.lim1 = 11700000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 2225858080522405948399703682333691692970213094391845788236988586145031483854419913255123361 310861426140260523240902716508563733925361806968967431281237529
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 5.09/2.08791
Info:Generate Free Relations: Total cpu/real time for freerel: 99.8/25.7031
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 26248955
Info:Lattice Sieving: Average J: 1894.08 for 1933020 special-q, max bucket fill -bkmult 1.0,1s:1.146180
Info:Lattice Sieving: Total time: 603505s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 49.72/151.021
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 150.09999999999997s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 423.05/428.83
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 374.90000000000003s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 343.56/445.877
Info:Filtering - Merging: Merged matrix has 2131137 rows and total weight 363180897 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 322.93/92.2487
Info:Filtering - Merging: Total cpu/real time for replay: 82.9/71.533
Info:Linear Algebra: Total cpu/real time for bwc: 80753.2/34295.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 20635.23, iteration CPU time 0.26, COMM 0.01, cpu-wait 0.03, comm-wait 0.0 (67072 iterations)
Info:Linear Algebra: Lingen CPU time 2338.37, WCT time 1158.95
Info:Linear Algebra: Mksol: WCT time 12301.1, iteration CPU time 0.31, COMM 0.01, cpu-wait 0.04, comm-wait 0.0 (33792 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 76.93/45.4741
Info:Square Root: Total cpu/real time for sqrt: 2751.91/1247.72
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.13265e+06/69903
Info:root: Cleaning up computation data in /tmp/cado.aftjo3yw
2225858080522405948399703682333691692970213094391845788236988586145031483854419913255123361 310861426140260523240902716508563733925361806968967431281237529

cado-nfs-3.0.0

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

5010346908623627844562704532269240748314522577332183196519670019923729582884099096222534470105116428726809150927402468092060720821999090885585342552057660120970214234698513516244416299<184>

17540295340251835573132392429819529<35>
285647807601379394175092595084308055809638896382277354713937104292787490457559199067284142596434264947742727411425516972204367371903135968410131002131<150>

Factor=17540295340251835573132392429819529  Method=ECM  B1=11000000  Sigma=421498009

ECMNET

170875510424486461724022495445530443225166342325779183864068761999120438842258539011819641953722893737390157172148746441804495327770721294652403506475665697303389029524529697197951<180>

67067526692869132643082144969723620388698279<44>
2547812911112682758933613358750294371677324092689435735442275039900285465315508819061260922760235158117004216926138635734958975066027369<136>

Factor=67067526692869132643082144969723620388698279  Method=ECM  B1=11000000  Sigma=1159700811

ECMNET

242572636363233040808316618377451328523548658758329410992889879722702152817462579101826356095718300391828851168107079087073162000114787870208820723324182216784995244841<168>

17082856976752619130670684090199212230671<41>

14199769786361877131481352798360193879811392041671569479063650284980510802646880763045758186153993852586423863728125991994323271<128>

Factor=17082856976752619130670684090199212230671  Method=ECM  B1=11000000  Sigma=239735945

ECMNET

14199769786361877131481352798360193879811392041671569479063650284980510802646880763045758186153993852586423863728125991994323271<128>

26854367296513604675835702481280880891377811659523611436119<59>
528769478333804444847416808783697943132910903891502042324659821937809<69>

Number: 19991_197
N=14199769786361877131481352798360193879811392041671569479063650284980510802646880763045758186153993852586423863728125991994323271
  ( 128 digits)
Divisors found:
 r1=26854367296513604675835702481280880891377811659523611436119 (pp59)
 r2=528769478333804444847416808783697943132910903891502042324659821937809 (pp69)
Version: Msieve-1.40
Total time: 103.62 hours.
Scaled time: 235.54 units (timescale=2.273).
Factorization parameters were as follows:
name: 19991_197
# Murphy_E = 1.00567e-10, selected by Markus Tervooren
n: 14199769786361877131481352798360193879811392041671569479063650284980510802646880763045758186153993852586423863728125991994323271
Y0: -6592983510296580132012052
Y1: 46046512196789
c0: 3212749764169895794392848883975
c1: -2150143277855779172445967
c2: 896277021075402270411
c3: -1205464497018357
c4: -12588554450
c5: 1140
skew: 360642.66
type: gnfs
# selected mechanically
rlim: 8200000
alim: 8200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8200000/8200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved algebraic special-q in [4100000, 8500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1356688 x 1356936
Total sieving time: 99.93 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 3.40 hours.
Time per square root: 0.20 hours.
Prototype def-par.txt line would be:
gnfs,127,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,8200000,8200000,28,28,53,53,2.5,2.5,100000
total time: 103.62 hours.
 --------- CPU info (if available) ----------

Core i7 860 2.80GHz,Window 7 64bit,and Cygwin)

4415037229686477379894344864133083977522454560672759553608445600528094496466116541840008144252462088220588368592161292980662212890139069966714175637319357205672339259247140105249849383<184>

9916372246526737433949447954712733233<37>

445227056823413204335080095187015621695823394884255936475263332923408208646560723205386467339105880811035168419307597227960941801394154491792686551<147>

Factor=9916372246526737433949447954712733233  Method=ECM  B1=11000000  Sigma=1210903332

ECMNET

445227056823413204335080095187015621695823394884255936475263332923408208646560723205386467339105880811035168419307597227960941801394154491792686551<147>

221732323856862038874417811361813951666598428478084976752113<60>
2007948363499887545182196224554388424747126941038187476977051557219292530860660641171527<88>

445227056823413204335080095187015621695823394884255936475263332923408208646560723205386467339105880811035168419307597227960941801394154491792686551=221732323856862038874417811361813951666598428478084976752113*2007948363499887545182196224554388424747126941038187476977051557219292530860660641171527

cado polynomial
n: 445227056823413204335080095187015621695823394884255936475263332923408208646560723205386467339105880811035168419307597227960941801394154491792686551
skew: 0.34
type: snfs
c0: -9
c5: 2000
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 2000*x^5-9
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 14100000
tasks.lim1 = 14100000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 221732323856862038874417811361813951666598428478084976752113 2007948363499887545182196224554388424747126941038187476977051557219292530860660641171527
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 5.97/2.39527
Info:Generate Free Relations: Total cpu/real time for freerel: 102.7/26.4496
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 28935897
Info:Lattice Sieving: Average J: 1893.46 for 3175871 special-q, max bucket fill -bkmult 1.0,1s:1.114300
Info:Lattice Sieving: Total time: 795741s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 55.35/146.075
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 145.1s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 484.21/490.816
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 430.9000000000001s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 417.02/470.102
Info:Filtering - Merging: Merged matrix has 2570418 rows and total weight 439773728 (171.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 369.51/106.402
Info:Filtering - Merging: Total cpu/real time for replay: 98.74/89.1533
Info:Linear Algebra: Total cpu/real time for bwc: 115288/29482.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 18788.62, iteration CPU time 0.22, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (80384 iterations)
Info:Linear Algebra: Lingen CPU time 525.97, WCT time 152.47
Info:Linear Algebra: Mksol: WCT time 10277.74, iteration CPU time 0.24, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (40448 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 88.74/38.2362
Info:Square Root: Total cpu/real time for sqrt: 748.57/234.502
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.61371e+06/77508.5
Info:root: Cleaning up computation data in /tmp/cado.ple32ynm
221732323856862038874417811361813951666598428478084976752113 2007948363499887545182196224554388424747126941038187476977051557219292530860660641171527

cado-nfs-3.0.0

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

2048783389441440771229557973075720287058355428296910864030509219645134206492641019751555022949028607089243046628799041351027126055177108318048575972923088961577398713918207923863939<181>

143821516351592394580709359859280268721600091163202892576070307242142395733197091701<84>
14245319069178042373931090567410412512986623427066985142218706877164593680840383483051804728367639<98>

Number: n
N=2048783389441440771229557973075720287058355428296910864030509219645134206492641019751555022949028607089243046628799041351027126055177108318048575972923088961577398713918207923863939  ( 181 digits)
SNFS difficulty: 200 digits.
Divisors found:

Mon Apr  5 05:45:55 2021  p84 factor: 143821516351592394580709359859280268721600091163202892576070307242142395733197091701
Mon Apr  5 05:45:55 2021  p98 factor: 14245319069178042373931090567410412512986623427066985142218706877164593680840383483051804728367639
Mon Apr  5 05:45:55 2021  elapsed time 01:11:22 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.329).
Factorization parameters were as follows:
#
# N = 2x10^199-9 = 19(198)1
#
n: 2048783389441440771229557973075720287058355428296910864030509219645134206492641019751555022949028607089243046628799041351027126055177108318048575972923088961577398713918207923863939
m: 10000000000000000000000000000000000000000
deg: 5
c5: 1
c0: -45
skew: 2.14
# Murphy_E = 2.45e-11
type: snfs
lss: 1
rlim: 15100000
alim: 15100000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 15100000/15100000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 20350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4518769 hash collisions in 46342818 relations (43896233 unique)
Msieve: matrix is 1725751 x 1725975 (605.2 MB)

Sieving start time : 2021/04/05 00:07:51
Sieving end time  : 2021/04/05 04:33:50

Total sieving time: 4hrs 25min 59secs.

Total relation processing time: 0hrs 57min 55sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 0sec.

Prototype def-par.txt line would be:
snfs,200,5,0,0,0,0,0,0,0,0,15100000,15100000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119768] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241112K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486124K reserved, 0K cma-reserved)
[    0.153507] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.05 BogoMIPS (lpj=12798104)
[    0.152038] smpboot: Total of 16 processors activated (102384.83 BogoMIPS)

242513788220412785803747527393214853166833390872405495214737395514619088750516216676146109757723298299220206404920039673202162101804644500422501423742916287384425892986400049843991<180>

3244163086531077487208990901611<31>

74753883128523052738026538623151664673439692879259426514500080703022293349719032216354989421268182305258845712048182921998676887903895940922731928581<149>

GMP-ECM 6.4.3 [configured with GMP 5.0.5] [ECM]
Input number is 242513788220412785803747527393214853166833390872405495214737395514619088750516216676146109757723298299220206404920039673202162101804644500422501423742916287384425892986400049843991 (180 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1390441919
Step 1 took 17004ms
Step 2 took 5819ms
********** Factor found in step 2: 3244163086531077487208990901611
Found probable prime factor of 31 digits: 3244163086531077487208990901611
Composite cofactor 74753883128523052738026538623151664673439692879259426514500080703022293349719032216354989421268182305258845712048182921998676887903895940922731928581 has 149 digits

74753883128523052738026538623151664673439692879259426514500080703022293349719032216354989421268182305258845712048182921998676887903895940922731928581<149>

4571765097612453445128824423195761227323386452042021923764558292377609<70>
16351208238490276684560014282556306225471181172978793960926303321957629995098909<80>

74753883128523052738026538623151664673439692879259426514500080703022293349719032216354989421268182305258845712048182921998676887903895940922731928581=4571765097612453445128824423195761227323386452042021923764558292377609*16351208238490276684560014282556306225471181172978793960926303321957629995098909

cado polynomial
n: 74753883128523052738026538623151664673439692879259426514500080703022293349719032216354989421268182305258845712048182921998676887903895940922731928581
skew: 0.85
type: snfs
c0: -9
c5: 20
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = 20*x^5-9
# g(x) = -x+10000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 15900000
tasks.lim1 = 15900000
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: 16351208238490276684560014282556306225471181172978793960926303321957629995098909 4571765097612453445128824423195761227323386452042021923764558292377609
Info:Square Root: Total cpu/real time for sqrt: 892.75/282.244
Info:Square Root: Total cpu/real time for sqrt: 892.75/282.244
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 190.29/232.331
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 231.8s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 729.27/705.028
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 588.6999999999999s
Info:Generate Factor Base: Total cpu/real time for makefb: 6.64/2.95888
Info:Filtering - Merging: Merged matrix has 3158537 rows and total weight 537862616 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 901.81/248.613
Info:Filtering - Merging: Total cpu/real time for replay: 127.18/113.052
Info:Linear Algebra: Total cpu/real time for bwc: 180768/46273.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 115813.97, WCT time 29542.76, iteration CPU time 0.28, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (98816 iterations)
Info:Linear Algebra: Lingen CPU time 715.54, WCT time 181.46
Info:Linear Algebra: Mksol: CPU time 63023.61,  WCT time 16103.32, iteration CPU time 0.31, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (49664 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 480.3/560.172
Info:Quadratic Characters: Total cpu/real time for characters: 116.08/48.6042
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 45446764
Info:Lattice Sieving: Average J: 1894.19 for 3211551 special-q, max bucket fill -bkmult 1.0,1s:1.155080
Info:Lattice Sieving: Total time: 872159s
Info:Generate Free Relations: Total cpu/real time for freerel: 232.36/60.7258
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.82445e+06/437213
16351208238490276684560014282556306225471181172978793960926303321957629995098909 4571765097612453445128824423195761227323386452042021923764558292377609

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)

518162171105803343108707481464468898874041058304411802625669976277169975883687870300619572976320444545967433416802804532387852578264108148819711953<147>

52716702804577031543156836901206964129871816377726547217765084404463<68>
9829183987979135484782915269250851967275711218339010911079435846467551618087231<79>

518162171105803343108707481464468898874041058304411802625669976277169975883687870300619572976320444545967433416802804532387852578264108148819711953=52716702804577031543156836901206964129871816377726547217765084404463*9829183987979135484782915269250851967275711218339010911079435846467551618087231

cado polynomial
n: 518162171105803343108707481464468898874041058304411802625669976277169975883687870300619572976320444545967433416802804532387852578264108148819711953
skew: 0.54
type: snfs
c0: -9
c5: 200
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = 200*x^5-9
# g(x) = -x+10000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 16500000
tasks.lim1 = 16500000
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: 9829183987979135484782915269250851967275711218339010911079435846467551618087231 52716702804577031543156836901206964129871816377726547217765084404463
Info:Square Root: Total cpu/real time for sqrt: 966.43/307.653
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 194.14/234.923
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 234.39999999999998s
Info:Linear Algebra: Total cpu/real time for bwc: 173940/44425.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 105503.03, WCT time 26913.13, iteration CPU time 0.3, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (102400 iterations)
Info:Linear Algebra: Lingen CPU time 736.26, WCT time 186.83
Info:Linear Algebra: Mksol: CPU time 67692.69,  WCT time 17277.2, iteration CPU time 0.32, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (51200 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 6.91/2.96876
Info:Filtering - Merging: Merged matrix has 3274137 rows and total weight 558354448 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 961.24/264.925
Info:Filtering - Merging: Total cpu/real time for replay: 133.31/117.066
Info:Filtering - Singleton removal: Total cpu/real time for purge: 470.86/556.871
Info:Quadratic Characters: Total cpu/real time for characters: 120.88/50.7038
Info:Square Root: Total cpu/real time for sqrt: 966.43/307.653
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 45649057
Info:Lattice Sieving: Average J: 1893.72 for 3328346 special-q, max bucket fill -bkmult 1.0,1s:1.128260
Info:Lattice Sieving: Total time: 925149s
Info:Generate Free Relations: Total cpu/real time for freerel: 237.01/60.5162
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 735.78/711.934
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 590.9s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.91966e+06/44788.3
9829183987979135484782915269250851967275711218339010911079435846467551618087231 52716702804577031543156836901206964129871816377726547217765084404463

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)

25153191719927888759381237410542184198120110871897863652893389553937649345697372656463050722353869955219281261536903331910565902471001832043322338474698080800748021330112214686219<179>

8729427021794967350001129593574543616086518389638441980842609793869592426380889921<82>
2881425282223829675400811462623614659148437017641525983352886271644312596381274304551270698443339<97>

Number: n
N=25153191719927888759381237410542184198120110871897863652893389553937649345697372656463050722353869955219281261536903331910565902471001832043322338474698080800748021330112214686219  ( 179 digits)
SNFS difficulty: 203 digits.
Divisors found:

Thu Oct  7 23:28:24 2021  p82 factor: 8729427021794967350001129593574543616086518389638441980842609793869592426380889921
Thu Oct  7 23:28:24 2021  p97 factor: 2881425282223829675400811462623614659148437017641525983352886271644312596381274304551270698443339
Thu Oct  7 23:28:24 2021  elapsed time 01:33:09 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.318).
Factorization parameters were as follows:
#
# N = 2x10^203-9 = 19(202)1
#
n: 25153191719927888759381237410542184198120110871897863652893389553937649345697372656463050722353869955219281261536903331910565902471001832043322338474698080800748021330112214686219
m: 10000000000000000000000000000000000000000
deg: 5
c5: 2000
c0: -9
skew: 0.34
# Murphy_E = 1.471e-11
type: snfs
lss: 1
rlim: 17100000
alim: 17100000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17100000/17100000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 28550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8653381 hash collisions in 63583160 relations (57624280 unique)
Msieve: matrix is 1949329 x 1949557 (674.8 MB)

Sieving start time : 2021/10/07 12:24:31
Sieving end time  : 2021/10/07 21:52:12

Total sieving time: 9hrs 27min 41secs.

Total relation processing time: 1hrs 14min 59sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 32sec.

Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17100000,17100000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118347] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239960K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2728K init, 4972K bss, 487276K reserved, 0K cma-reserved)
[    0.154098] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.48 BogoMIPS (lpj=12798968)
[    0.150212] smpboot: Total of 16 processors activated (102391.74 BogoMIPS)

7132260861284067169925067002824222917786046135804139549985653861482439477703680593251066996611869716422463463497964819419141162023846144325781079756328619311601775446901439394834675940143<187>

31587789196653390537660566485572081758998601295659312517868664666805799376658596662400485018882789465378699697058601<116>

216993443857412166372641692846793299<36>
925668330244820911500900823773834709<36>
157259616795220572837814985602302479659600711<45>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1805118727
Step 1 took 4010ms
Step 2 took 3151ms
********** Factor found in step 2: 216993443857412166372641692846793299
Found probable prime factor of 36 digits: 216993443857412166372641692846793299
Composite cofactor 145570246893772222366511831258636657727143131768695372299099406068650688252878099 has 81 digits

starting SIQS on c81: 145570246893772222366511831258636657727143131768695372299099406068650688252878099

==== sieving in progress ( 4 threads):   44480 relations needed ====
====            Press ctrl-c to abort and save state            ====
44859 rels found: 22234 full + 22625 from 245400 partial, (1833.10 rels/sec)

SIQS elapsed time = 149.0427 seconds.

***factors found***

PRP36 = 925668330244820911500900823773834709
PRP45 = 157259616795220572837814985602302479659600711

GMP-ECM 6.3, YAFU 1.24

668146986180653413082337566123888921297172857196432508944038551070864380596786890297070948411438797872534874074760117501010499655613491141228362864552066020541782878961384057742510644302253419151250271<201>

64104769383436746781681921120199107750529<41>

10422734417531307779217869037397368559804232688580459913495957140237256459575459472859747873198303588212321165872182090969168693601036130693477028505108356255199<161>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1753095681
Step 1 took 414806ms
Step 2 took 98755ms
********** Factor found in step 2: 64104769383436746781681921120199107750529
Found probable prime factor of 41 digits: 64104769383436746781681921120199107750529

10422734417531307779217869037397368559804232688580459913495957140237256459575459472859747873198303588212321165872182090969168693601036130693477028505108356255199<161>

23020401285715646909781218653759286571069463512000499940825894619799821209<74>
452760761559734510915475288734931223825567011828242474890481434540881266542956076589111<87>

Number: 19991_210
N = 10422734417531307779217869037397368559804232688580459913495957140237256459575459472859747873198303588212321165872182090969168693601036130693477028505108356255199 (161 digits)
SNFS difficulty: 211 digits.
Divisors found:
r1=23020401285715646909781218653759286571069463512000499940825894619799821209 (pp74)
r2=452760761559734510915475288734931223825567011828242474890481434540881266542956076589111 (pp87)
Version: Msieve v. 1.54 (SVN 1018)
Total time: 71.21 hours.
Factorization parameters were as follows:
n: 10422734417531307779217869037397368559804232688580459913495957140237256459575459472859747873198303588212321165872182090969168693601036130693477028505108356255199
m: 1000000000000000000000000000000000000000000
deg: 5
c5: 2
c0: -9
skew: 1.35
# Murphy_E = 7.676e-12
type: snfs
lss: 1
rlim: 22000000
alim: 22000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 22000000/22000000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [0, 0)
Total raw relations: 42398698
Relations: 6896674 relations
Pruned matrix : 4140269 x 4140493
Total sieving time: 65.10 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 5.64 hours.
time per square root: 0.22 hours.
Prototype def-par.txt line would be: snfs,211,5,0,0,0,0,0,0,0,0,22000000,22000000,29,29,57,57,2.6,2.6,100000
total time: 71.21 hours.
Intel64 Family 6 Model 45 Stepping 6, GenuineIntel
processors: 12, speed: 3.30GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

27020491595037199550639372128410079953642827089942902673049366178349288606470056422087960166317205094817056567344313530055064328058950027773154352400593475083092135095510725356629913987720239<191>

3902061375371635744920865864792928737667071213800851198818345099058439885889193889581197050208460575228726385407318161279638381935268808594369079313768657528879549590218322867251541957514982941839<196>

8447473148715487227144656642593223865424644227596516734273370067284917322427547890594132066584621218015586080776947920949080604993124559844621749955002168596552650942547575747411<178>

421071046242147553561937206453146934644485474002959179205040563282626082154784518048007331465450011903258508523420267836924516682086759323131243877532983939328745954596161227777949646602053672412249<198>

2941179668256203714255075871930181789195289<43>
143164000073411497891367589140881189535229032454305904846210538096602274803014713539144458013862829859495619336298413007451369201428716402106759934995288641<156>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2211067922
Step 1 took 97994ms
Step 2 took 32586ms
********** Factor found in step 2: 2941179668256203714255075871930181789195289
Found probable prime factor of 43 digits: 2941179668256203714255075871930181789195289

4848990036455901695538405231927581751083426261185411601844167038374607483218480196889417975170837308743074008681747219851670746800929692882988212202255870723936627425365861232659<178>

587105946232194567013096946501<30>

8259139713325564455962948384234154883669757853098353202133596873908137411282972895641209279680095086117432129728366613408530931445767626328733239159<148>

GMP-ECM 6.4.3 [configured with GMP 5.0.5] [ECM]
Input number is 4848990036455901695538405231927581751083426261185411601844167038374607483218480196889417975170837308743074008681747219851670746800929692882988212202255870723936627425365861232659 (178 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3072749348
Step 1 took 18658ms
Step 2 took 6302ms
********** Factor found in step 2: 587105946232194567013096946501
Found probable prime factor of 30 digits: 587105946232194567013096946501
Composite cofactor 8259139713325564455962948384234154883669757853098353202133596873908137411282972895641209279680095086117432129728366613408530931445767626328733239159 has 148 digits

8259139713325564455962948384234154883669757853098353202133596873908137411282972895641209279680095086117432129728366613408530931445767626328733239159<148>

1763429319191019510804130988496115764979584303123464612245453609<64>
4683567196849420048234151596946304785263459662863981992298080079468044222529092673951<85>

Number: 19991_219
N = 8259139713325564455962948384234154883669757853098353202133596873908137411282972895641209279680095086117432129728366613408530931445767626328733239159 (148 digits)
SNFS difficulty: 220 digits.
Divisors found:
r1=1763429319191019510804130988496115764979584303123464612245453609 (pp64)
r2=4683567196849420048234151596946304785263459662863981992298080079468044222529092673951 (pp85)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 80.88 hours.
Factorization parameters were as follows:
n: 8259139713325564455962948384234154883669757853098353202133596873908137411282972895641209279680095086117432129728366613408530931445767626328733239159
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 1
c0: -45
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 67108864
lpbr: 29
lpba: 26
mfbr: 58
mfba: 52
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 4
Number of threads per core: 1
Factor base limits: 536870912/67108864
Large primes per side: 3
Large prime bits: 29/26
Total raw relations: 25038687
Relations: 7668368 relations
Total pre-computation time approximately 800 CPU-days.
Pre-computation saved approximately 16 G rational relations.
Total batch smoothness checking time: 47.90 hours.
Total relation processing time: 0.24 hours.
Pruned matrix : 6544745 x 6544970
Matrix solve time: 32.61 hours.
time per square root: 0.13 hours.
Prototype def-par.txt line would be: snfs,220,4,0,0,0,0,0,0,0,0,536870912,67108864,29,26,58,52,2.8,2.8,100000
total time: 80.88 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-8-6.2.9200
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

43661602116225306122012443537344284051511969725539471760003817422952994033713301209088649763611776407633678980971726839500437224004292289291801426275023016723555663358213027499409603341508735428474065334247<206>

10715495283825654261551387374647168956076522551<47>
4074622867141723736181513733049401409020197941468298865885323797945429434531594617264588577454341215783748463408083904488316281880637729667811987019601324306897<160>

Number: 19991_220
N = 43661602116225306122012443537344284051511969725539471760003817422952994033713301209088649763611776407633678980971726839500437224004292289291801426275023016723555663358213027499409603341508735428474065334247 (206 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=10715495283825654261551387374647168956076522551 (pp47)
r2=4074622867141723736181513733049401409020197941468298865885323797945429434531594617264588577454341215783748463408083904488316281880637729667811987019601324306897 (pp160)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 64.21 hours.
Factorization parameters were as follows:
n: 43661602116225306122012443537344284051511969725539471760003817422952994033713301209088649763611776407633678980971726839500437224004292289291801426275023016723555663358213027499409603341508735428474065334247
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 2
c0: -9
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 4
Number of threads per core: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 32908375
Relations: 7207524 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 31.83 hours.
Total relation processing time: 0.47 hours.
Pruned matrix : 6705114 x 6705339
Matrix solve time: 31.53 hours.
time per square root: 0.38 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: 64.21 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.16299-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

1211697873474053486912253350906506594491970886174866563510668136689300476528181302401249832635596656746677522944673029010388082668789445109063018610681756974572814360959587536099<178>

224697406399358704466742598183826192046726918130629450484046129<63>
5392576144472630289810296939170924223707010194667322782801643955117856467314106499318264515846067180240158141710931<115>

Number: 19991_221
N = 1211697873474053486912253350906506594491970886174866563510668136689300476528181302401249832635596656746677522944673029010388082668789445109063018610681756974572814360959587536099 (178 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=224697406399358704466742598183826192046726918130629450484046129 (pp63)
r2=5392576144472630289810296939170924223707010194667322782801643955117856467314106499318264515846067180240158141710931 (pp115)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 77.20 hours.
Factorization parameters were as follows:
n: 1211697873474053486912253350906506594491970886174866563510668136689300476528181302401249832635596656746677522944673029010388082668789445109063018610681756974572814360959587536099
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 20
c0: -9
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 7174632 relations
Pruned matrix : 6564847 x 6565072
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 40.03 hours.
Total relation processing time: 0.44 hours.
Matrix solve time: 36.55 hours.
time per square root: 0.19 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 77.20 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

13340193062523635509280857796662056793491295302269776689609303284754911703117306698221494867602355498339123455501873979142601489994034349709133842260816934562227435972776285974006503336110114979205559<200>

494471976973380728672390991301810246498750238877449382902549033554602905491138495426406469523274351918769893413982494057802115353232125691818366083640037700265052112264435769205257<180>

2029281705655495885794218915499002209<37>

243668474216918565441581292401634723676881426854512216745195345882245694850477820204842583369125157633920227570388774422756903273128882716316073<144>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3222769883
Step 1 took 10452ms
Step 2 took 6349ms
********** Factor found in step 2: 2029281705655495885794218915499002209
Found probable prime factor of 37 digits: 2029281705655495885794218915499002209
Composite cofactor 243668474216918565441581292401634723676881426854512216745195345882245694850477820204842583369125157633920227570388774422756903273128882716316073 has 144 digits

GMP-ECM 6.3

243668474216918565441581292401634723676881426854512216745195345882245694850477820204842583369125157633920227570388774422756903273128882716316073<144>

28138658106358942587941875914521998015058541156210935870117021368319657<71>
8659562701813875885718374798593408288091495040384391079269417206407813889<73>

PID32701 2020-03-24 18:24:48,767 Debug:root: Root parameter dictionary:
N = 243668474216918565441581292401634723676881426854512216745195345882245694850477820204842583369125157633920227570388774422756903273128882716316073
name = 19991_226
tasks.I = 14
tasks.lim0 = 10000000
tasks.lim1 = 20000000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.qmin = 200000
tasks.threads = 6
tasks.wutimeout = 1800
tasks.filter.target_density = 145.0
tasks.filter.purge.keep = 175
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.bwc.interleaving = 0
tasks.linalg.bwc.threads = 6
tasks.linalg.characters.nchar = 50
tasks.polyselect.P = 300000
tasks.polyselect.admax = 20e4
tasks.polyselect.admin = 12600
tasks.polyselect.adrange = 420
tasks.polyselect.degree = 5
tasks.polyselect.incr = 60
tasks.polyselect.nq = 15625
tasks.polyselect.nrkeep = 100
tasks.polyselect.threads = 2
tasks.sieve.mfb0 = 58
tasks.sieve.mfb1 = 58
tasks.sieve.qrange = 5000
tasks.sieve.las.threads = 2
PID1909 2020-03-24 19:04:25,336 Info:Polynomial Selection (root optimized): Best polynomial is:
n: 243668474216918565441581292401634723676881426854512216745195345882245694850477820204842583369125157633920227570388774422756903273128882716316073
skew: 136506.67
c0: -4453284671919412786700567635805
c1: 571741541364956546665632911
c2: -12895248311354533688724
c3: -72874463688581662
c4: 273835232980
c5: 950400
Y0: -4085004790517205332353798068
Y1: 2118216713974510777723
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=2.684e+13) = 6.120e-07
PID1909 2020-03-25 00:37:10,555 Info:Square Root: Factors: 28138658106358942587941875914521998015058541156210935870117021368319657 8659562701813875885718374798593408288091495040384391079269417206407813889
PID1909 2020-03-25 00:37:10,555 Debug:Square Root: Exit SqrtTask.run(sqrt)
PID1909 2020-03-25 00:37:10,555 Info:Polynomial Selection (size optimized): Aggregate statistics:
PID1909 2020-03-25 00:37:10,555 Info:Polynomial Selection (size optimized): potential collisions: 144726
PID1909 2020-03-25 00:37:10,555 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 147074/42.270/52.226/60.050/1.247
PID1909 2020-03-25 00:37:10,555 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 121818/41.730/46.102/52.470/0.955
PID1909 2020-03-25 00:37:10,556 Info:Polynomial Selection (size optimized): Total time: 62645.9
PID1909 2020-03-25 00:37:10,556 Info:Polynomial Selection (root optimized): Aggregate statistics:
PID1909 2020-03-25 00:37:10,556 Info:Polynomial Selection (root optimized): Total time: 1739.55
PID1909 2020-03-25 00:37:10,556 Info:Polynomial Selection (root optimized): Rootsieve time: 1736.1
PID1909 2020-03-25 00:37:10,556 Info:Generate Factor Base: Total cpu/real time for makefb: 14.4/2.76986
PID1909 2020-03-25 00:37:10,556 Info:Generate Free Relations: Total cpu/real time for freerel: 338.81/58.198
PID1909 2020-03-25 00:37:10,556 Info:Lattice Sieving: Aggregate statistics:
PID1909 2020-03-25 00:37:10,556 Info:Lattice Sieving: Total number of relations: 60100931
PID1909 2020-03-25 00:37:10,556 Info:Lattice Sieving: Average J: 7751.99 for 407674 special-q, max bucket fill -bkmult 1.0,1s:1.142380
PID1909 2020-03-25 00:37:10,556 Info:Lattice Sieving: Total time: 446661s
PID1909 2020-03-25 00:37:10,556 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 90.96/211.356
PID1909 2020-03-25 00:37:10,556 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
PID1909 2020-03-25 00:37:10,556 Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 207.1s
PID1909 2020-03-25 00:37:10,556 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 944.22/664.794
PID1909 2020-03-25 00:37:10,556 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
PID1909 2020-03-25 00:37:10,556 Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 550.4000000000001s
PID1909 2020-03-25 00:37:10,556 Info:Filtering - Singleton removal: Total cpu/real time for purge: 727.2/607.147
PID1909 2020-03-25 00:37:10,557 Info:Filtering - Merging: Total cpu/real time for merge: 204.28/45.0513
PID1909 2020-03-25 00:37:10,557 Info:Filtering - Merging: Total cpu/real time for replay: 69.71/68.6665
PID1909 2020-03-25 00:37:10,557 Info:Linear Algebra: Total cpu/real time for bwc: 59840.1/10426.3
PID1909 2020-03-25 00:37:10,557 Info:Linear Algebra: Aggregate statistics:
PID1909 2020-03-25 00:37:10,557 Info:Linear Algebra: Krylov: WCT time 6571.37, iteration CPU time 0.08, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (78848 iterations)
PID1909 2020-03-25 00:37:10,557 Info:Linear Algebra: Lingen CPU time 320.87, WCT time 60.15
PID1909 2020-03-25 00:37:10,557 Info:Linear Algebra: Mksol: WCT time 3649.53, iteration CPU time 0.08, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (39424 iterations)
PID1909 2020-03-25 00:37:10,557 Info:Quadratic Characters: Total cpu/real time for characters: 83.67/26.4666
PID1909 2020-03-25 00:37:10,557 Info:Square Root: Total cpu/real time for sqrt: 2329.22/421.718
PID1909 2020-03-25 00:37:10,557 Info:HTTP server: Shutting down HTTP server
PID1909 2020-03-25 00:37:10,979 Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 988086/22333.4

CADO-NFS

50255481921427258179240437435082434113482037908911621905322170344127596141752872799154550218438480064269343668373860547941263590905015063868376536702609061513830317796402232111401586093514517770574482543004396724715659<218>

49355733259555835867328986447110774070521<41>
1018229871231772666543011776457842198325818305317308611504154303826769571758983146441805108479147024769408485761516072557760930780184968296432041095431026185217072400533159804579<178>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3744638015
Step 1 took 154039ms
Step 2 took 47223ms
********** Factor found in step 2: 49355733259555835867328986447110774070521
Found probable prime factor of 41 digits: 49355733259555835867328986447110774070521

61830715741570628146882055220098670525898349415846880136153594769958502360676074297664711596971247230966142266145582819387608020108343354301999<143>

232777414945570927129146899543094866460759970481<48>
265621627235735765223488265754097391375294230951839331294306239549076699946655228380622537914079<96>

Number: 19991_228
N = 61830715741570628146882055220098670525898349415846880136153594769958502360676074297664711596971247230966142266145582819387608020108343354301999 (143 digits)
Divisors found:
r1=232777414945570927129146899543094866460759970481 (pp48)
r2=265621627235735765223488265754097391375294230951839331294306239549076699946655228380622537914079 (pp96)
Version: Msieve v. 1.51 (SVN 845)
Total time: 455.25 hours.
Factorization parameters were as follows:
# Murphy_E = 1.444e-11, selected by Erik Branger
# expecting poly E from 1.39e-011 to > 1.60e-011
n: 61830715741570628146882055220098670525898349415846880136153594769958502360676074297664711596971247230966142266145582819387608020108343354301999
Y0: -6373308459507865375834530242
Y1: 1173916347518981
c0: 2277612593910734960789560202796449595
c1: 1189890878552043879982500513504
c2: -1571838452478353629265334
c3: -417922870519154584
c4: 165865973819
c5: 5880
skew: 3450141.87
type: gnfs
# selected mechanically
rlim: 22000000
alim: 22000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 22000000/22000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23405996
Relations: 4335842 relations
Pruned matrix : 2676214 x 2676439
Polynomial selection time: 0.00 hours.
Total sieving time: 447.39 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 7.23 hours.
time per square root: 0.42 hours.
Prototype def-par.txt line would be: gnfs,142,5,65,2000,1e-05,0.28,250,20,50000,3600,22000000,22000000,28,28,56,56,2.6,2.6,100000
total time: 455.25 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 8, speed: 2.29GHz

GGNFS, Msieve

61751523263598896545235623454084005302271314105867485951776490243379688876731671231945053901073276432167425961609523876244595486379297081462248807955010130859948221136368008193947797055392211478224495353447521928645031<218>

83612742449947707619177722086883671291<38>

738542014700266737459722948903430850950926246705546080521181866619298591684930386654230684982373799692282841663296033515491609182813190646042337756388452948679255433291455744323141<180>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=985093159
Step 1 took 30728ms
Step 2 took 11087ms
********** Factor found in step 2: 83612742449947707619177722086883671291
Found probable prime factor of 38 digits: 83612742449947707619177722086883671291

35807760399877191799035887691222591262449831925530904039525935109583249625948656331426718547427746760817505738029336740400457675513251113149379608649141789427927729281486923326660479257192201620174196777862765579662879<218>

90829408745963768148851235052885423242337404004668631609542537682850953481718310754656142565839967664730486436898539008960321172789325727884174337967147002856584905060560508281371342413246560971511355946828464120112810125662487<227>

2050374071403966081792244116314643020503391832986952696296060790469936441251164251256337156481865382277768837542156938982426617616265363389172027815186076237639803244732471594869470911187358651929904737859400687739<214>

574877838459327392929002586950273066973268180511641276228801379706812302385743029606208680655360735843633227939062949123311296349525725783271054900833572865766024719747053751077895947111238861741879850531762000574877838459327392929<231>

6681684295692350573871201660739767375316809829479364006101107817367240075495441827499734253815748550300991692954764872270982814049639243938052741869687447140252726822989730924217<178>

90865894598114589213853492814917344070209810342473719072214586278727444968688383650455956610609624012475898195882127033566954540365892004954157757114958588471863732933797130003333330338287437169112005823972714412040269211136073<227>

1586989604211293719256393061868902054281317326541957631547618146925342000761304182939828812915912315130898474358317595428610817432820115267330006686703314259747406820634360631973978530605837328954148732709584329<211>

542200781636152375697917357160244885208982443376772500767620870435426981448720442377628460950319587737827925114356544698277803032734738702036128949581999850907360305461451405217869982518410631917571602023446963494367575735031<225>

956937799043062200956937799043062200956937799043062200956937799043062200956937799043062200956937799043062200956937799043062200956937799043062200956937799043062200956937799043062200956937799043062200956937799043062200956937799043062200956937799<243>

1121179553161615656525233026602389<34>

853509856065954892791450465242003365556625174792592845194852266582146061652624839098609282178176257019876678419181170264627726312888244870313415872806694265695018945410736404889843774715430144254841370787683691<210>

GMP-ECM 6.4.3 [configured with GMP 5.0.5] [ECM]
Input number is 956937799043062200956937799043062200956937799043062200956937799043062200956937799043062200956937799043062200956937799043062200956937799043062200956937799043062200956937799043062200956937799043062200956937799043062200956937799043062200956937799 (243 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1118666610
Step 1 took 39593ms
Step 2 took 10468ms
********** Factor found in step 2: 1121179553161615656525233026602389
Found probable prime factor of 34 digits: 1121179553161615656525233026602389
Composite cofactor 853509856065954892791450465242003365556625174792592845194852266582146061652624839098609282178176257019876678419181170264627726312888244870313415872806694265695018945410736404889843774715430144254841370787683691 has 210 digits

13897096588597170589922902162273587959247121466827309875950342328819242888206475924915199880370841311217937441530763328015844048748530490449638099523109014265365985566549847711459998328243015395105968262006080191613009254405866281617<233>

2287349465168695848939673096142747978881527301485467680516484179502590173435104214281593878299360961020149430354143369135153639811672146522960741917848648055630034383756003860017503959908408716322249658934615016724927<217>

31154558996803410256841018564527<32>

73419414006257883306928527139956241706530545679838251648298358964776109815168325979328191393299261043368539465660172592849686184201910068717889788451272100227483009016068420334633065201<185>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3351234005
Step 1 took 11467ms
Step 2 took 6396ms
********** Factor found in step 2: 31154558996803410256841018564527
Found probable prime factor of 32 digits: 31154558996803410256841018564527
Composite cofactor 73419414006257883306928527139956241706530545679838251648298358964776109815168325979328191393299261043368539465660172592849686184201910068717889788451272100227483009016068420334633065201 has 185 digits

GMP-ECM 6.3

144744219474763000272335841450661637212863066825682320183979116541616988878185275554143198211667278410086753761481959952763612348212994734158892554499777567236519857555732943853760176442669018102461107864688413313027263251<222>

1186656896729788030226845245557932895809<40>
27702959464879963162109317423046198060749<41>

4403012257508451667691514267658845896661641952679270868809494837916332430894107990583686528075408412663855310006766764420655183667558317866911<142>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3989451853
Step 1 took 31059ms
Step 2 took 11453ms
********** Factor found in step 2: 1186656896729788030226845245557932895809
Found probable prime factor of 40 digits: 1186656896729788030226845245557932895809

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3857853388
Step 1 took 22747ms
Step 2 took 8915ms
********** Factor found in step 2: 27702959464879963162109317423046198060749
Found probable prime factor of 41 digits: 27702959464879963162109317423046198060749

4403012257508451667691514267658845896661641952679270868809494837916332430894107990583686528075408412663855310006766764420655183667558317866911<142>

17249651805609900313140937875873892656269<41>
594462149213050964205884891166673538623249<42>
429383502452797800283861528254208060163917424733094624319531<60>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1078907450
Step 1 took 181099ms
Step 2 took 57633ms
********** Factor found in step 2: 17249651805609900313140937875873892656269
Found probable prime factor of 41 digits: 17249651805609900313140937875873892656269
Composite cofactor 255252239704717520630885645623236289511970834535717215352621128869330710807811546877714565783201376219 has 102 digits

N=255252239704717520630885645623236289511970834535717215352621128869330710807811546877714565783201376219
  ( 102 digits)
Divisors found:
 r1=594462149213050964205884891166673538623249 (pp42)
 r2=429383502452797800283861528254208060163917424733094624319531 (pp60)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 7.95 hours.
Scaled time: 6.36 units (timescale=0.800).
Factorization parameters were as follows:
name: c102
n: 255252239704717520630885645623236289511970834535717215352621128869330710807811546877714565783201376219
skew: 17040.86
# norm 2.39e+14
c5: 24000
c4: -673026150
c3: -11825385182835
c2: 169673782056292658
c1: 2031131630665856330550
c0: -54452660364625613788908
# alpha -6.19
Y1: 12463169677
Y0: -25430380464569502785
# Murphy_E 2.78e-09
# M 203981219155161826974019116625978651131122370119061134999941631168858209491460297799535975611738377095
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1150000, 1750001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 223975 x 224208
Polynomial selection time: 0.50 hours.
Total sieving time: 7.08 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
gnfs,101,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 7.95 hours.

597120896102223887147069987237410276922997606745913909919964933903025108703376225408140765264407219357666889913025662973016985520621540581871405059795717448724717861176371040533127998891900256670183502646056166629375412175826441<228>

85278490159880029079594718311362273<35>

7002010647500233894961094521060434564973766360115262045842386600910571941754951224197352039408668660352822470833468741726325288609709053617284094317157721301633952077261193920920031715479448617<193>

GMP-ECM 6.4.3 [configured with GMP 5.0.5] [ECM]
Input number is 597120896102223887147069987237410276922997606745913909919964933903025108703376225408140765264407219357666889913025662973016985520621540581871405059795717448724717861176371040533127998891900256670183502646056166629375412175826441 (228 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3306969877
Step 1 took 31512ms
********** Factor found in step 1: 85278490159880029079594718311362273
Found probable prime factor of 35 digits: 85278490159880029079594718311362273
Composite cofactor 7002010647500233894961094521060434564973766360115262045842386600910571941754951224197352039408668660352822470833468741726325288609709053617284094317157721301633952077261193920920031715479448617 has 193 digits

1270735288406997147462761946385157011326986768173809549808692874815957704176926728539832956882172826851214224267903294286965674967541420263658243699947084820864232951683672732035364083005626732879970699<202>

105418045543912644605647256608094957319644839840839255469744737596895844729054658307289307123287528514416561353403959666055085047082947719866282150448202620002023057461845236469950211763714700116117506748402521326648981850231<225>

61874726630406195415927934270988153439820124220285798938056291056664035019850514017479503961221822878798301233664542183727674834314280912456317674673530642591719248989830806011427976819594588451837370661298993<209>

1653448463861271791768367734608857167<37>

37421623947027132897210729680572240068509381546126060412601661240912591900144520595914578956988961448962411384175895508330091596150017002514755038724832579252133755474148479<173>

Run 213 out of 320:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=56109252
Step 1 took 72049ms
Step 2 took 21960ms
********** Factor found in step 2: 1653448463861271791768367734608857167
Found probable prime factor of 37 digits: 1653448463861271791768367734608857167
Composite cofactor 37421623947027132897210729680572240068509381546126060412601661240912591900144520595914578956988961448962411384175895508330091596150017002514755038724832579252133755474148479 has 173 digits

GMP-ECM 6.4.4

Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

53985443248521204543481246597193045469654235264114338866169785725971295213722388415705822235181743107560241768441378812679762848917534026321529477085436651400636435842096033617937124797319175732352928000050497772692391<218>

347559705228016422973215656545677177907601564318713720558782349307797786582371155225540622932683166276299353344423806506212968264130043266858532429705713658003250665522820255897882673085150647401051027673884419103<213>

165289256198347107438016528925619834710743801652892561983471074380165289256198347107438016528925619834710743801652892561983471074380165289256198347107438016528925619834710743801652892561983471074380165289256198347107438016528925619834710743801652892561983471<258>

369336436425916207885973250699379218705847119268347217376326741678389076230815160947573060707129188929013022071324485186106728324213404985202241074980428266595651887069305951469911758869860776892442470957467471<210>

1359566954268198523363938087519273204877651503652803999264784371771680069036358397387780445475460800028836891680453332728030389193758682741453389076629820872475492403967360114157873503209270125271431823879735300980285826584053706207401018404860679<247>

9640238264789281228505954077997726963105534051424596036589373702609437236231423725659130042158407054149634740637101908857482966860506782090714912854461650475589882645895868490744133277551835475226805739260791410059738257771646081<229>

1616584816510109743722940496104147972570009545547839510051582865266572470969072777450501440463422595362274216244165833368569623035330681536110098061455844131294138824014930081227227106375234928128085074594531547102655839098569027403587749467473<244>

181376534143927438439961518553578163439<39>

8912866397740866047966769631312252895197276745374456406463992262745847277183619958329145396144893039122525228666099111873106106854938389633459032443713743945329547575551533718752813667579624556265365340607<205>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2273066438
Step 1 took 42145ms
Step 2 took 12862ms
********** Factor found in step 2: 181376534143927438439961518553578163439
Found probable prime factor of 39 digits: 181376534143927438439961518553578163439
Composite cofactor 8912866397740866047966769631312252895197276745374456406463992262745847277183619958329145396144893039122525228666099111873106106854938389633459032443713743945329547575551533718752813667579624556265365340607 has 205 digits

278271853659760568918388743019924919541376767758595577712960918018032419117367436048811034908593149190450902305855880863542096542578616070871069613421809267026311622545749003879403480729901939867887231<201>

255528239767038244756928354591633703783019<42>
1089006263704776347153460561204591640159923219694222261727328110076120356793753601889393048089264075471835910248292886450731394040973022627434103876990989074749<160>

Run 7 out of 320:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1964691542
Step 1 took 71903ms
Step 2 took 21738ms
********** Factor found in step 2: 255528239767038244756928354591633703783019
Found probable prime factor of 42 digits: 255528239767038244756928354591633703783019
Probable prime cofactor 1089006263704776347153460561204591640159923219694222261727328110076120356793753601889393048089264075471835910248292886450731394040973022627434103876990989074749 has 160 digits

GMP-ECM 6.4.4

Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

43267484308302637606957949575287584916621603406837549542453113338820701748443157491382328738636902755501483345247411477398924131355152720271540461931268986411933809543320552693514266017879999677415584964184895114498348142942480120976445455739155204113<251>

636041345627248870665737553157994240321870300337206446577595739804734817140598463723988158562579836565620769956346361251714243131226761492027073375918567850405896987880268095408800709025563538746173177341339612746500212628144812180077026903064717552606043921<258>

642291641818030043051726662743687875093792646723010762891270407010801455317784190495583038909856030700785379266715616668113422745543081829415647572993964856708844479141990436283819916973851818985733376686654110751782495221853048568646748821743485458949993<255>

44588204437222463730384574559564152831<38>

14404967634934445974752362587561000149181450606591082149586762425422889889819127011402351328984201320680136248082301724606807316049891089702257182735991655590084271716152515519979931984467581881721711104457882999396503<218>

Run 285 out of 320:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=426321629
Step 1 took 108518ms
Step 2 took 29002ms
********** Factor found in step 2: 44588204437222463730384574559564152831
Found probable prime factor of 38 digits: 44588204437222463730384574559564152831
Composite cofactor 14404967634934445974752362587561000149181450606591082149586762425422889889819127011402351328984201320680136248082301724606807316049891089702257182735991655590084271716152515519979931984467581881721711104457882999396503 has 218 digits

GMP-ECM 6.4.4

Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

108248525490368228569256491374188291681740598369289885016863947069938759247104026428167579040699604626242179409129290926446728282451576230502681547390956339928317543155066570924380309688809474205004118999357545772971418831<222>

111977805281966630603635195742694808826276883265444379712565911066119303364205610204131925158567936078236746136505444956063655340706165024399514463367901550434229037940833030240102540929307402201983676850604824671185339405555361635350194819800096050363367<255>

32089813456592198533977501143202386691802484820642938623386798724329170783372706208189980629420010469722721897890201150722637457433954726755472410071578407379156341607261144831416683971878315800276701439244238045155319480040545959322707066614761205388309321<257>

106863190368292113107022518944706220107847985325413306944165534070548104417215875104276744506702119760264126851197544012527215041825302928758459080467374517435804096439699240743555886657214206943663394726230321692032109<219>

310432018361511752573465914380002575879733756867776565771730090287796143441144721963542984059445927065552914511562444797862249324956177704732796965500238428443304874033864766563966185372108819237561773013603503675244653449558863082536896926511920086977963551697367159<267>

786490671059894220121891708130099651<36>

394705277232552435215887166211290170672171931987402905168268874651692253937649907408240527538284503796148554860796495558071152745396966178400739654908268744795027485768039208635216176877236155299257784825780037591970682170610325309<231>

Input number is 310432018361511752573465914380002575879733756867776565771730090287796143441144721963542984059445927065552914511562444797862249324956177704732796965500238428443304874033864766563966185372108819237561773013603503675244653449558863082536896926511920086977963551697367159 (267 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=693823286
Step 1 took 8783ms
Step 2 took 4415ms
********** Factor found in step 2: 786490671059894220121891708130099651
Found probable prime factor of 36 digits: 786490671059894220121891708130099651
Composite cofactor

GMP-ECM 6.4.4

394705277232552435215887166211290170672171931987402905168268874651692253937649907408240527538284503796148554860796495558071152745396966178400739654908268744795027485768039208635216176877236155299257784825780037591970682170610325309<231>

47195812448489109345659636640323209151<38>

8363141913561617862857864576766178538724767154188272111377304892946759235669359319501111990873938666396194892553523172439741475874539621331011484790467567010260502225755735425669480119421075459<193>

Run 237 out of 320:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3626901239
Step 1 took 84174ms
Step 2 took 24967ms
********** Factor found in step 2: 47195812448489109345659636640323209151
Found probable prime factor of 38 digits: 47195812448489109345659636640323209151
Composite cofactor 8363141913561617862857864576766178538724767154188272111377304892946759235669359319501111990873938666396194892553523172439741475874539621331011484790467567010260502225755735425669480119421075459 has 193 digits

GMP-ECM 6.4.4

Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

9618496808174956865098855220504230194879079466704690398458549120738387668931162564210615290601062638945969410235674557156721957945583470305368185403278786845662139456286806399636701346992729834817219832451584055933091073545460043048959069574701<244>

1542745224630863916605270310996416949022291863628607811365767379740113916482198888040896525681118965284741280376435794768439919283810337657843922110003040936440381488918468733348449016548526135657668942823811455057258490207545264049455916324016754369<250>

408172614501710440917234632822958168913<39>
3779639225709002256008119838674781599801379546411613844476933255227134229001516838595851658439623662873776898211463474624888867094120859542436084314410169706666760667833952305869483318679787539613294922839654513<211>

Run 175 out of 320:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=563419499
Step 1 took 95347ms
Step 2 took 27706ms
********** Factor found in step 2: 408172614501710440917234632822958168913
Found probable prime factor of 39 digits: 408172614501710440917234632822958168913
Probable prime cofactor 3779639225709002256008119838674781599801379546411613844476933255227134229001516838595851658439623662873776898211463474624888867094120859542436084314410169706666760667833952305869483318679787539613294922839654513 has 211 digits

GMP-ECM 6.4.4

Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181<285>

3934105394751703444626328560037497678508257070975479528136563838767847241953458725862319291253006661365872597168348712170926542303990480883111013577758062003783628577935173166544748284782769818178714408708046409266214686164025834763335877484606423362890121143224312778751420091<277>

20863407876096062245370164763338799314202683894676621862525526254887551721307795856234066019555163460090305776143176679761505287991313799830247005908970981513010331632483532539382269411663958385204852264864264663105792222025060026911<233>

22559645693525217481918050095091087858337438574274274084764517909645708462754711288851821974727105508333705340921806953973930718659286616697674076431602724857785235901271741<173>

1068547046434004356085517506377150031624260247322035574385299046331<67>
21112449628504538840408730517270658644489729377014703025471461506552657267386246745899445476966340925659111<107>

Info:Polynomial Selection (size optimized): Aggregate statistics:              
Info:Polynomial Selection (size optimized): potential collisions: 586564       
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 591414/51.560/62.665/66.680/0.833
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 591414/50.660/56.569/63.500/1.414
Info:Polynomial Selection (size optimized): Total time: 6.35398e+06            
Info:Polynomial Selection (root optimized): Aggregate statistics:              
Info:Polynomial Selection (root optimized): Total time: 6169.18                
Info:Polynomial Selection (root optimized): Rootsieve time: 6168.59            
Info:Generate Factor Base: Total cpu/real time for makefb: 72.95/4.32778       
Info:Generate Free Relations: Total cpu/real time for freerel: 2177.98/44.6105 
Info:Lattice Sieving: Aggregate statistics:                                    
Info:Lattice Sieving: Total number of relations: 157716440                     
Info:Lattice Sieving: Average J: 7640.4 for 8214623 special-q, max bucket fill -bkmult 1.0,1s:1.245700
Info:Lattice Sieving: Total time: 2.08636e+07s                                 
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 921.37/660.193
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:      
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 658.8999999999999s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2:
6776.58/3108.37
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:        
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 2577.9999999999995s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 10776.9/2474.91
Info:Filtering - Merging: Total cpu/real time for merge: 11761.8/7996.09       
Info:Filtering - Merging: Total cpu/real time for replay: 546.01/444.309       
Info:Linear Algebra: Total cpu/real time for bwc: 7.16089e+06/211676           
Warning:Linear Algebra: some stats could not be displayed for linalg (see log file for debug info)
Info:Linear Algebra: Aggregate statistics:                                     
Info:Linear Algebra: Mksol: WCT time 211623.85, iteration CPU time 0.77, COMM 0.07, cpu-wait 0.22, comm-wait 0.0 (218000 iterations)                           
Info:Quadratic Characters: Total cpu/real time for characters: 608.59/116.855  
Info:Square Root: Total cpu/real time for sqrt: 22695.3/3277.18                
Info:HTTP server: Shutting down HTTP server                                    
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 4.71517e+07/829429
1068547046434004356085517506377150031624260247322035574385299046331 21112449628504538840408730517270658644489729377014703025471461506552657267386246745899445476966340925659111

$ cat 19991_289.poly
n: 22559645693525217481918050095091087858337438574274274084764517909645708462754711288851821974727105508333705340921806953973930718659286616697674076431602724857785235901271741
skew: 2629406.321
c0: -497820330359217438734611200962172957534
c1: 1267844619816701959294209345560753
c2: 987908482772582022033766684
c3: 297828926338936956347
c4: -128217207116450
c5: 5905200
Y0: -1501850925332145548782611094950436
Y1: 1030958161202686041323
# MurphyE (Bf=2.147e+09,Bg=1.074e+09,area=5.261e+15) = 2.2e-08
# found by revision 1369194a5
# f(x) = 5905200*x^5-128217207116450*x^4+297828926338936956347*x^3+987908482772582022033766684*x^2+1267844619816701959294209345560753*x-497820330359217438734611200962172957534
# g(x) = 1030958161202686041323*x-1501850925332145548782611094950436

Timing information for this factorization was unavailable due to a
series of crashes and pauses during the linear algebra step.

CADO-NFS 3.0.0-dev

1 * AMD Ryzen Threadripper 2990WX 32-Core Processor w/ 64GB RAM

27368754369362303011873248004420190784880914061468369772632021766648551191221783146854658019120548489971955852650126270709810398181317903342020100332603256136747565186370584993194160607154284644064133882466052437732872941833629348815383007089173886992191707360881<263>

78370616916986418193670918983956346747390686079389966668047541113298907181198987048207305462383319601783969175305257482076693809281576665165870979744116559887470884561267161562931498646935056424140593553084698831608428852063<224>

748870643815706531203720030776092178701178119690704725873169049181682826951130424570303039528278820553094150528586309118932782905164128846396866284044843815446450617935730579314695195275582024006235139099043054916169206316144634519776866579324913<246>

292509848543355357576368193049005039234682827937152143563823182267982958965959888355302987336465312737285403510698120717407705831449531423565017120953710220407823840236355898351891267987943348791756337776683951018158899134972485231296862543379444381975189689079011<264>