209090262590623324674662272817826497803277807296152930210058551570312356683432041453306992533523096953980424674313366594580396798468355453918246589<147>

11446246509035109137458172315152085129446188827<47>
18267146564210168096334403162624796291792049909993727669100813582789777576039312403346776495047622407<101>

Number: n
N=209090262590623324674662272817826497803277807296152930210058551570312356683432041453306992533523096953980424674313366594580396798468355453918246589
  ( 147 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=11446246509035109137458172315152085129446188827 (pp47)
 r2=18267146564210168096334403162624796291792049909993727669100813582789777576039312403346776495047622407 (pp101)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 38.38 hours.
Scaled time: 52.43 units (timescale=1.366).
Factorization parameters were as follows:
name: KA_3_4_155_3
n: 209090262590623324674662272817826497803277807296152930210058551570312356683432041453306992533523096953980424674313366594580396798468355453918246589
skew: 0.53
deg: 5
c5: 310
c0: -13
m: 10000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [1500000, 1300001)
Primes: RFBsize:216816, AFBsize:216917, largePrimes:7085921 encountered
Relations: rels:6631140, finalFF:560970
Max relations in full relation-set: 48
Initial matrix: 433800 x 560970 with sparse part having weight 45010433.
Pruned matrix : 328753 x 330986 with weight 22946855.
Total sieving time: 35.71 hours.
Total relation processing time: 0.34 hours.
Matrix solve time: 2.22 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 38.38 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

1045811674643038618720970610503378607430945162952929917680418191298320275906164719144573731068294405811697968071724804081565705525083<133>

58339351804238222158586791687727596860143<41>
17926350607259622695271137524190494788700231091726771361636249626207975716925845807554474581<92>

Number: n
N=1045811674643038618720970610503378607430945162952929917680418191298320275906164719144573731068294405811697968071724804081565705525083
  ( 133 digits)
SNFS difficulty: 159 digits.
Divisors found:

Thu Oct 04 02:14:25 2007  prp41 factor: 58339351804238222158586791687727596860143
Thu Oct 04 02:14:25 2007  prp92 factor: 17926350607259622695271137524190494788700231091726771361636249626207975716925845807554474581
Thu Oct 04 02:14:25 2007  elapsed time 01:06:27 (Msieve 1.26)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 42.50 hours.
Scaled time: 61.62 units (timescale=1.450).
Factorization parameters were as follows:
name: KA_3_4_157_3
n: 1045811674643038618720970610503378607430945162952929917680418191298320275906164719144573731068294405811697968071724804081565705525083
skew: 0.21
deg: 5
c5: 31000
c0: -13
m: 10000000000000000000000000000000
type: snfs
rlim: 2500000
alim: 2500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 1800000)
Primes: RFBsize:183072, AFBsize:182522, largePrimes:7262660 encountered
Relations: rels:6751741, finalFF:444988
Max relations in full relation-set: 28
Initial matrix: 365661 x 444988 with sparse part having weight 40908464.
Pruned matrix : 320686 x 322578 with weight 26986987.
Total sieving time: 42.25 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,159,5,0,0,0,0,0,0,0,0,2500000,2500000,28,28,48,48,2.5,2.5,100000
total time: 42.50 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

3328452940869617330931095875479742376415224541238707666359142956021173025231334965865275812348555292067010272370304916583914433663<130>

18220801332111452637905105535377<32>
182673246922664922215116667618385192896049286094122406240480789269739834481068876099995763335349519<99>

#3328452940869617330931095875479742376415224541238707666359142956021173025231334965865275812348555292067010272370304916583914433663
#Using B1=1216102, B2=1426326730, polynomial Dickson(6), sigma=3097637686
#Step 1 took 28300ms
#Step 2 took 13860ms
#********** Factor found in step 2: 18220801332111452637905105535377
#Found probable prime factor of 32 digits: 18220801332111452637905105535377
#Probable prime cofactor 182673246922664922215116667618385192896049286094122406240480789269739834481068876099995763335349519 has 99 digits

12449083029648225542109687888536515060209802263401903077493636672549789010109692518368630886984932298733323904504263564729839<125>

9214711542428400460620693533887<31>
1351000839508368862206252121522886281976194919602387289398936256144347787863519361665877324497<94>

#12449083029648225542109687888536515060209802263401903077493636672549789010109692518368630886984932298733323904504263564729839
#Using B1=1372163, B2=1426564240, polynomial Dickson(6), sigma=3405369779
#Step 1 took 28201ms
#Step 2 took 13479ms
#********** Factor found in step 2: 9214711542428400460620693533887
#Found probable prime factor of 31 digits: 9214711542428400460620693533887
#Probable prime cofactor 1351000839508368862206252121522886281976194919602387289398936256144347787863519361665877324497 has 94 digits

1033089185795502125725549943468951191075287560678144964465240476031654211528331590947854279300951567277909959275083588067187997223584737627<139>

7347822245464475165282519977448389173180184038157<49>
140598010033950929058795866865500565051420080556908773879274375567266916603580233027144711<90>

Number: n
N=1033089185795502125725549943468951191075287560678144964465240476031654211528331590947854279300951567277909959275083588067187997223584737627
  ( 139 digits)
SNFS difficulty: 166 digits.
Divisors found:

Tue Apr 15 11:10:58 2008  prp49 factor: 7347822245464475165282519977448389173180184038157
Tue Apr 15 11:10:58 2008  prp90 factor: 140598010033950929058795866865500565051420080556908773879274375567266916603580233027144711
Tue Apr 15 11:10:58 2008  elapsed time 01:00:36 (Msieve 1.34)

Version: GGNFS-0.77.1-20050930-k8
Total time: 46.01 hours.
Scaled time: 38.47 units (timescale=0.836).
Factorization parameters were as follows:
name: KA_3_4_164_3
n: 1033089185795502125725549943468951191075287560678144964465240476031654211528331590947854279300951567277909959275083588067187997223584737627
type: snfs
deg: 5
c5: 31
c0: -13
skew: 0.84
m: 1000000000000000000000000000000000
rlim: 3200000
alim: 3200000
lbpr: 28
lbpa: 28
mbpr: 48
mbpa: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved  special-q in [100000, 2900189)
Primes: RFBsize:230209, AFBsize:231088, largePrimes:5568743 encountered
Relations: rels:5432587, finalFF:503551
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 45.83 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,48,48,2.5,2.5,100000
total time: 46.01 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM)
Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888)
Calibrating delay loop... 6029.31 BogoMIPS (lpj=3014656)
Total of 2 processors activated (11993.08 BogoMIPS).

3827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827<166>

11249365279272105191944705856137109893341383<44>
4629217185850101516750522211783509052473169342352740507<55>
73492174772991205921386920343213336461480210780035033172068546448767<68>

Number: n
N=3827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827
  ( 166 digits)
SNFS difficulty: 167 digits.
Divisors found:
 r1=11249365279272105191944705856137109893341383 (pp44)
 r2=4629217185850101516750522211783509052473169342352740507 (pp55)
 r3=73492174772991205921386920343213336461480210780035033172068546448767 (pp68)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 84.72 hours.
Scaled time: 112.08 units (timescale=1.323).
Factorization parameters were as follows:
name: KA_3_4_165_3
n: 3827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827
skew: 0.53
deg: 5
c5: 310
c0: -13
m: 1000000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 3600001)
Primes: RFBsize:216816, AFBsize:216917, largePrimes:7638831 encountered
Relations: rels:7082488, finalFF:488644
Max relations in full relation-set: 48
Initial matrix: 433800 x 488644 with sparse part having weight 62247574.
Pruned matrix : 416718 x 418951 with weight 46486994.
Total sieving time: 74.95 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 8.93 hours.
Total square root time: 0.54 hours, sqrts: 5.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 84.72 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

93982336177563216710622053712499793504133132442754896701786016366381127410710209447003174180643878866627717354866420677299955512703248284503279569707148948605811<161>

19121035045106931156034589094324433473093786433375865827509070283<65>
4915128075224843895655346118121567445584594295484859874268072710814547659240553180841233721217017<97>

Number: n
N=93982336177563216710622053712499793504133132442754896701786016366381127410710209447003174180643878866627717354866420677299955512703248284503279569707148948605811
  ( 161 digits)
SNFS difficulty: 169 digits.
Divisors found:

Sat May 31 11:47:02 2008  prp65 factor: 19121035045106931156034589094324433473093786433375865827509070283
Sat May 31 11:47:02 2008  prp97 factor: 4915128075224843895655346118121567445584594295484859874268072710814547659240553180841233721217017
Sat May 31 11:47:02 2008  elapsed time 01:26:56 (Msieve 1.34)

Version: GGNFS-0.77.1-20050930-k8
Total time: 85.06 hours.
Scaled time: 71.28 units (timescale=0.838).
Factorization parameters were as follows:
name: KA_3_4_167_3
n: 93982336177563216710622053712499793504133132442754896701786016366381127410710209447003174180643878866627717354866420677299955512703248284503279569707148948605811
type: snfs
deg: 5
c5: 31000
c0: -13
skew: 0.21
m: 1000000000000000000000000000000000
rlim: 3500000
alim: 3500000
lbpr: 28
lbpa: 28
mbpr: 48
mbpa: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved  special-q in [100000, 5000399)
Primes: RFBsize:250150, AFBsize:249832, largePrimes:5816711 encountered
Relations: rels:5725824, finalFF:539421
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 84.83 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,169,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,48,48,2.5,2.5,100000
total time: 85.06 hours.
 --------- CPU info (if available) ----------

772004585537895153753416938989416462129654987489927176782542836623117564252615549668049359253750882024577742192848991751676387412212214527552904671113109258205473<162>

522235888582298378420929116637405995083<39>
1478267967438312308101056504254553548511855058325922241446036981530842781007936900982261738169354345327696013073609676251331<124>

#772004585537895153753416938989416462129654987489927176782542836623117564252615549668049359253750882024577742192848991751676387412212214527552904671113109258205473
#Using B1=1460527, B2=2140044280, polynomial Dickson(6), sigma=1972075287
#Step 1 took 46847ms
#Step 2 took 22443ms
#********** Factor found in step 2: 522235888582298378420929116637405995083
#Found probable prime factor of 39 digits: 522235888582298378420929116637405995083
#Probable prime cofactor 1478267967438312308101056504254553548511855058325922241446036981530842781007936900982261738169354345327696013073609676251331 has 124 digits

1518271971490228525170470187290986396833961583159452220426848824570489465374086118625174993770681055077122596882137032987210133306330473774314121<145>

232031625289267285997872846548274872654251<42>
6543383771920925262771313657337423017658900689973818172304650431186996923388887223462560916516787337371<103>

C145=P42*P103
C145=232031625289267285997872846548274872654251<42>*6543383771920925262771313657337423017658900689973818172304650431186996923388887223462560916516787337371<103>

34476571088291076776994823427846831784964176918813371440538658082213750658533558663784510855842306758605898218482747625328511151220314561413772552607887<152>

47865335095677678404821156139424014379989626741<47>
720282664257465317345032408252220823107802235276252167231709945845280561953158628988483658436987750222707<105>

Number: 34443_171
N=34476571088291076776994823427846831784964176918813371440538658082213750658533558663784510855842306758605898218482747625328511151220314561413772552607887
  ( 152 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=47865335095677678404821156139424014379989626741 (pp47)
 r2=720282664257465317345032408252220823107802235276252167231709945845280561953158628988483658436987750222707 (pp105)
Version: Msieve-1.40
Total time: 71.44 hours.
Scaled time: 201.74 units (timescale=2.824).
Factorization parameters were as follows:
name: 34443_171
n: 34476571088291076776994823427846831784964176918813371440538658082213750658533558663784510855842306758605898218482747625328511151220314561413772552607887
m: 10000000000000000000000000000000000
deg: 5
c5: 310
c0: -13
skew: 0.53
type: snfs
lss: 1
rlim: 5200000
alim: 5200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2600000, 5400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 917317 x 917565
Total sieving time: 69.28 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.95 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,172.000,5,0,0,0,0,0,0,0,0,5200000,5200000,27,27,52,52,2.4,2.4,100000
total time: 71.44 hours.
 --------- CPU info (if available) ----------

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

466463928964510637085854226119252096221369092678080729923062225909045283133338184457983827446428436622103284713818066383382946298886809<135>

1485198122562236570113759345825456049566924019<46>
314075221263931858058665873952438706871410954511820722673188880452444318226479520618585411<90>

N=466463928964510637085854226119252096221369092678080729923062225909045283133338184457983827446428436622103284713818066383382946298886809
  ( 135 digits)
SNFS difficulty: 174 digits.
Divisors found:
 r1=1485198122562236570113759345825456049566924019 (pp46)
 r2=314075221263931858058665873952438706871410954511820722673188880452444318226479520618585411 (pp90)
Version: Msieve-1.40
Total time: 84.22 hours.
Scaled time: 165.84 units (timescale=1.969).
Factorization parameters were as follows:
n: 466463928964510637085854226119252096221369092678080729923062225909045283133338184457983827446428436622103284713818066383382946298886809
m: 10000000000000000000000000000000000
deg: 5
c5: 31000
c0: -13
skew: 0.21
type: snfs
lss: 1
rlim: 5700000
alim: 5700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
qintsize: 180000Factor base limits: 5700000/5700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2850000, 6990001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 893550 x 893775
Total sieving time: 83.03 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.98 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,174.000,5,0,0,0,0,0,0,0,0,5700000,5700000,27,27,52,52,2.4,2.4,100000
total time: 84.22 hours.
 --------- CPU info (if available) ----------

8263036894013737356203203218305664002632417106575423075002150247790339627459787657361048217104933276264888030243262455682153597<127>

527793365692251166832991629<27>
1413255507990492806168595079438433390439397411<46>
11077839744989375386501684687854942571016255668118907163<56>

#8263036894013737356203203218305664002632417106575423075002150247790339627459787657361048217104933276264888030243262455682153597
#Using B1=1122780, B2=1426247560, polynomial Dickson(6), sigma=1890747274
#Step 1 took 26078ms
#********** Factor found in step 1: 527793365692251166832991629
#Found probable prime factor of 27 digits: 527793365692251166832991629
#Composite cofactor 15655818036242230996764279488464680231446046629313475236304245371831851939477964647054895617571554993 has 101 digits
#Fri Feb 16 08:27:40 2007  prp46 factor: 1413255507990492806168595079438433390439397411
#Fri Feb 16 08:27:40 2007  prp56 factor: 11077839744989375386501684687854942571016255668118907163

35682289674433488237636838834465349936083032421487542551824744339735061163036084196882040597546519497556943338159216891562439476539246443138305039951350996694909<161>

65219477847426587077518315943625357<35>
719038817915347421940630071846579687<36>
760892074198757200697890675804603439092610757105817352711491913696740817887672336986109351<90>

#35682289674433488237636838834465349936083032421487542551824744339735061163036084196882040597546519497556943338159216891562439476539246443138305039951350996694909
#Using B1=1142784, B2=1426247560, polynomial Dickson(6), sigma=1840819561
#Step 1 took 36622ms
#Step 2 took 17846ms
#********** Factor found in step 2: 65219477847426587077518315943625357
#Found probable prime factor of 35 digits: 65219477847426587077518315943625357
#547110937593031198952933897410936238057156052820131674708816510489036804471749201463183568127653029153283384049152898717353137
#Using B1=1221210, B2=1426326730, polynomial Dickson(6), sigma=1573953028
#Step 1 took 28792ms
#Step 2 took 13749ms
#********** Factor found in step 2: 719038817915347421940630071846579687
#Found probable prime factor of 36 digits: 719038817915347421940630071846579687
#Probable prime cofactor 760892074198757200697890675804603439092610757105817352711491913696740817887672336986109351 has 90 digits

8479882804737103253979957769636543196016949808585793805522203629395311319612281157134170538485414697316464493951094436926070931921886930391568983203786710814577815767652743<172>

9537440536427082503420258687477304493<37>
889115142825712264336270323676477942025280940056505408267252597985808653661232222615018940714817662000729558352000823164963884428325251<135>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2445707087
Step 1 took 18922ms
Step 2 took 7161ms
********** Factor found in step 2: 9537440536427082503420258687477304493
Found probable prime factor of 37 digits: 9537440536427082503420258687477304493
Probable prime cofactor 889115142825712264336270323676477942025280940056505408267252597985808653661232222615018940714817662000729558352000823164963884428325251

GMP-ECM

Intel Core 2 Duo T8100 / Windows Vista 32bit

31313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313<179>

30083976209855206209867424244392759793889864427042762736211518417297<68>
1040857468264898047169776135475785954744385602127018579283000666366877231179930173843719367433591547037710900129<112>

N=31313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313
  ( 179 digits)

SNFS difficulty: 181 digits.
Divisors found:

 r1=30083976209855206209867424244392759793889864427042762736211518417297 (pp68)

 r2=1040857468264898047169776135475785954744385602127018579283000666366877231179930173843719367433591547037710900129 (pp112)

Version: GGNFS-0.77.1-20060513-prescott

Total time: 488.40 hours.

Scaled time: 829.79 units (timescale=1.699).

Factorization parameters were as follows:

n: 31313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313
m: 1000000000000000000000000000000000000
c5: 31
c0: -130
skew: 1.33
type: snfs


Factor base limits: 7400000/7400000

Large primes per side: 3

Large prime bits: 27/27

Max factor residue bits: 48/48

Sieved algebraic special-q in [3700000, 10000001)

Primes: RFBsize:501962, AFBsize:503087, largePrimes:6595694 encountered

Relations: rels:7075180, finalFF:1156780

Max relations in full relation-set: 28

Initial matrix: 1005114 x 1156780 with sparse part having weight 74860798.

Pruned matrix : 877750 x 882839 with weight 57165750.

Total sieving time: 473.22 hours.

Total relation processing time: 0.16 hours.

Matrix solve time: 14.75 hours.
Time per square root: 0.28 hours.

Prototype def-par.txt line would be:

snfs,181,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000

total time: 488.40 hours.

246654896141825815355725810704127831219821169805976640949123496744335142190656935323569549539185976379703313946911621277051120770895745441536003613<147>

7981830366046180202577413913544231025261135333137<49>
30902046877752294312646943143842316364258360964525942681921093601718328354607455736044611610332749<98>

N=246654896141825815355725810704127831219821169805976640949123496744335142190656935323569549539185976379703313946911621277051120770895745441536003613
  ( 147 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=7981830366046180202577413913544231025261135333137 (pp49)
 r2=30902046877752294312646943143842316364258360964525942681921093601718328354607455736044611610332749 (pp98)
Version: Msieve-1.40
Total time: 133.61 hours.
Scaled time: 244.37 units (timescale=1.829).
Factorization parameters were as follows:
n: 246654896141825815355725810704127831219821169805976640949123496744335142190656935323569549539185976379703313946911621277051120770895745441536003613
m: 1000000000000000000000000000000000000
deg: 5
c5: 31
c0: -13
skew: 0.84
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 360000Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3700000, 5860001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1213433 x 1213661
Total sieving time: 131.70 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.62 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,181.000,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,53,53,2.5,2.5,100000
total time: 133.61 hours.
 --------- CPU info (if available) ----------

49933234433314165414308932089190421194886192494229489923956516206556072606144365034494200496432995237013734860968157093177026202062081507146090147206396608405857329473977536487503<179>

100207618408818769953369343053477573985594867867454028216858231374779324945945217331537721<90>
498297786397843298786484049159684239369074605709847311257469554644236411505194367194905543<90>

Number: n
N=49933234433314165414308932089190421194886192494229489923956516206556072606144365034494200496432995237013734860968157093177026202062081507146090147206396608405857329473977536487503
  ( 179 digits)
SNFS difficulty: 185 digits.
Divisors found:

Mon Jul 27 21:53:00 2009  prp90 factor: 100207618408818769953369343053477573985594867867454028216858231374779324945945217331537721
Mon Jul 27 21:53:00 2009  prp90 factor: 498297786397843298786484049159684239369074605709847311257469554644236411505194367194905543
Mon Jul 27 21:53:00 2009  elapsed time 03:09:48 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 179.90 hours.
Scaled time: 474.76 units (timescale=2.639).
Factorization parameters were as follows:
name: KA_3_4_182_3
n: 49933234433314165414308932089190421194886192494229489923956516206556072606144365034494200496432995237013734860968157093177026202062081507146090147206396608405857329473977536487503
m: 5000000000000000000000000000000000000
deg: 5
c5: 248
c0: -325
skew: 1.06
type: snfs
lss: 1
rlim: 8800000
alim: 8800000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 8800000/8800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [4400000, 7600193)
Primes: RFBsize:590006, AFBsize:590071, largePrimes:20924935 encountered
Relations: rels:20804592, finalFF:1225824
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1977048 hash collisions in 22136093 relations
Msieve: matrix is 1499067 x 1499315 (407.0 MB)

Total sieving time: 179.24 hours.
Total relation processing time: 0.66 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,8800000,8800000,28,28,56,56,2.5,2.5,100000
total time: 179.90 hours.
 --------- CPU info (if available) ----------

3827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827<184>

50860390743863081094178433417<29>
75248350196541765986731032991141074676843238579485128560091333022256455922893727877575862591799754153933049498279895799619706673770461385880459855652498731<155>

#3827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827
#Using B1=2300042, B2=3567716890, polynomial Dickson(6), sigma=1645410585
#Step 1 took 106142ms
#********** Factor found in step 1: 50860390743863081094178433417
#Found probable prime factor of 29 digits: 50860390743863081094178433417
#Probable prime cofactor 75248350196541765986731032991141074676843238579485128560091333022256455922893727877575862591799754153933049498279895799619706673770461385880459855652498731 has 155 digits

5843902858283196240530598821051958627818623597034949935869292411893128279276473971968701749870866942975220902027701733072643258352874481063<139>

17757128990144490057865326416335009059131<41>
329101785627995503144769772900089826205540526094392828018012426909891788968440162312882573944829573<99>

#5843902858283196240530598821051958627818623597034949935869292411893128279276473971968701749870866942975220902027701733072643258352874481063
#Using B1=2066748, B2=2854078510, polynomial Dickson(6), sigma=1281007177
#Step 1 took 53637ms
#Step 2 took 23654ms
#********** Factor found in step 2: 17757128990144490057865326416335009059131
#Found probable prime factor of 41 digits: 17757128990144490057865326416335009059131
#Probable prime cofactor 329101785627995503144769772900089826205540526094392828018012426909891788968440162312882573944829573 has 99 digits

313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313<189>

18960275308406929724116517425722392691269164543<47>
148127824952087837453635732252173826200808100223731<51>
111492387161833705684170668928437133194092717290960694048484857650925015218158645936453543861<93>

Number: 34443_189
N=313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313
  ( 189 digits)
SNFS difficulty: 191 digits.
Divisors found:
 r1=18960275308406929724116517425722392691269164543 (pp47)
 r2=148127824952087837453635732252173826200808100223731 (pp51)
 r3=111492387161833705684170668928437133194092717290960694048484857650925015218158645936453543861 (pp93)
Version: GGNFS-0.77.1-20060722-nocona
Total time: 1502.39 hours.
Scaled time: 2836.51 units (timescale=1.888).
Factorization parameters were as follows:
n: 313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313
m: 100000000000000000000000000000000000000
c5: 31
c0: -130
skew: 1.33
type: snfsFactor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [3700000, 25500001)
Primes: RFBsize:501962, AFBsize:503087, largePrimes:7478270 encountered
Relations: rels:8154107, finalFF:1168778
Max relations in full relation-set: 32
Initial matrix: 1005114 x 1168778 with sparse part having weight 159477313.
Pruned matrix : 892881 x 897970 with weight 142693512.
Total sieving time: 1489.05 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 12.84 hours.
Time per square root: 0.32 hours.
Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000
total time: 1502.39 hours.
 --------- CPU info (if available) ----------

28529743592150565629776143667689964147315447760981121316476488316195700420390373401885705613724021482712862027491076862534400198493390256613999839681247298302305396548250744787362759279<185>

3258043336272548779008002886122874571288404601111566773541731<61>
8756710898999513727194865930909654610791856616776070564855670702424349065435730402674191725009366629927668168079773573912709<124>

Number: n
N=28529743592150565629776143667689964147315447760981121316476488316195700420390373401885705613724021482712862027491076862534400198493390256613999839681247298302305396548250744787362759279
  ( 185 digits)
SNFS difficulty: 191 digits.
Divisors found:

Tue Dec 22 19:08:25 2009  prp61 factor: 3258043336272548779008002886122874571288404601111566773541731
Tue Dec 22 19:08:25 2009  prp124 factor: 8756710898999513727194865930909654610791856616776070564855670702424349065435730402674191725009366629927668168079773573912709
Tue Dec 22 19:08:25 2009  elapsed time 07:20:56 (Msieve 1.42 - dependency 1)

Version: GGNFS-0.77.1-20050930-k8
Total time: ~ 24.00 hours.
Scaled time: 0.00 units (timescale=0.841).
Factorization parameters were as follows:
name: KA_3_4_189_3
n: 28529743592150565629776143667689964147315447760981121316476488316195700420390373401885705613724021482712862027491076862534400198493390256613999839681247298302305396548250744787362759279
m: 100000000000000000000000000000000000000
deg: 5
c5: 31
c0: -13
skew: 0.84
type: snfs
lss: 1
rlim: 10900000
alim: 10900000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 10900000/10900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 100000)
Primes: RFBsize:720341, AFBsize:720005, 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2227733 hash collisions in 23635251 relations
Msieve: matrix is 1696684 x 1696911 (458.6 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,10900000,10900000,28,28,56,56,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

11326354112117826328530816331587057612936446061992496694495807359486894119828157856114839924087457214930262466732821854984481475418471946389419673812130627337411705730781542726938869201<185>

12156616229645126390322167911417<32>
606268239934794595379364961442940829<36>
1536783223791944940826326054744739537580422334052791100435400818238680780875852116995008930134240059957027789762086957<118>

#11326354112117826328530816331587057612936446061992496694495807359486894119828157856114839924087457214930262466732821854984481475418471946389419673812130627337411705730781542726938869201
#Using B1=1092962, B2=1045603032, polynomial Dickson(6), sigma=3493276021
#Step 1 took 46708ms
#Step 2 took 20309ms
#********** Factor found in step 2: 12156616229645126390322167911417
#Found probable prime factor of 32 digits: 12156616229645126390322167911417
#Using B1=2011540, B2=2853999340, polynomial Dickson(6), sigma=635649331
#Step 1 took 58234ms
#Step 2 took 25467ms
#********** Factor found in step 2: 606268239934794595379364961442940829
#Found probable prime factor of 36 digits: 606268239934794595379364961442940829
#Probable prime cofactor 1536783223791944940826326054744739537580422334052791100435400818238680780875852116995008930134240059957027789762086957 has 118 digits

8890157817554963756897911351741966213946812495689469924697853206622447200291107959063744633972765078872527334528837277349427999879576761528124114286622337147654751162648753919429<178>

6010459266860772296513512068485127269483470863993449<52>
1479114560607985146896892994161646774557589072884134183081997252750136008346390184411053668229931111632326267590379921445793021<127>

N=8890157817554963756897911351741966213946812495689469924697853206622447200291107959063744633972765078872527334528837277349427999879576761528124114286622337147654751162648753919429
  ( 178 digits)
SNFS difficulty: 194 digits.
Divisors found:
 r1=6010459266860772296513512068485127269483470863993449 (pp52)
 r2=1479114560607985146896892994161646774557589072884134183081997252750136008346390184411053668229931111632326267590379921445793021 (pp127)
Version: Msieve-1.40
Total time: 429.23 hours.
Scaled time: 835.27 units (timescale=1.946).
Factorization parameters were as follows:
n: 8890157817554963756897911351741966213946812495689469924697853206622447200291107959063744633972765078872527334528837277349427999879576761528124114286622337147654751162648753919429
m: 100000000000000000000000000000000000000
deg: 5
c5: 31000
c0: -13
skew: 0.21
type: snfs
lss: 1
rlim: 12200000
alim: 12200000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 400000Factor base limits: 12200000/12200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6100000, 12100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2217907 x 2218132
Total sieving time: 422.00 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 6.17 hours.
Time per square root: 0.76 hours.
Prototype def-par.txt line would be:
snfs,194.000,5,0,0,0,0,0,0,0,0,12200000,12200000,28,28,55,55,2.5,2.5,100000
total time: 429.23 hours.
 --------- CPU info (if available) ----------

3420026455465555165030490343357334761630367875682725597040061213979329165340382186202498385992908192695169234397475529950518434455506807594743313660014555298071744684632164237693173361<184>

117602516565159674781337594954997<33>
1736648356153263282151812902240569<34>
16745609548147609812124124983067904018895063174524086172259099007693123279142523007585234586580156877839035349260578677<119>

#3420026455465555165030490343357334761630367875682725597040061213979329165340382186202498385992908192695169234397475529950518434455506807594743313660014555298071744684632164237693173361
#Using B1=1004838, B2=1045563762, polynomial Dickson(6), sigma=1627541657
#Step 1 took 43142ms
#Step 2 took 20119ms
#********** Factor found in step 2: 117602516565159674781337594954997
#Found probable prime factor of 33 digits: 117602516565159674781337594954997
#Using B1=1932886, B2=2853920170, polynomial Dickson(6), sigma=1421857635
#Step 1 took 56220ms
#Step 2 took 25107ms
#********** Factor found in step 2: 1736648356153263282151812902240569
#Found probable prime factor of 34 digits: 1736648356153263282151812902240569
#Probable prime cofactor 16745609548147609812124124983067904018895063174524086172259099007693123279142523007585234586580156877839035349260578677 has 119 digits

22149849724113532526832016474212774833554632339324464421944654942867621738096067193449353737436961754703777773050093727348339774861785361738632813241535830193073584707<167>

5027043972621015155274153602261603<34>

4406138049467862108822304886904684665095340472558491300911579282015207482952828657413786426677152881312064869462756319604850096004769<133>

#22149849724113532526832016474212774833554632339324464421944654942867621738096067193449353737436961754703777773050093727348339774861785361738632813241535830193073584707
#Using B1=2131945, B2=2854078510, polynomial Dickson(6), sigma=463069574
#Step 1 took 76070ms
#Step 2 took 28451ms
#********** Factor found in step 2: 5027043972621015155274153602261603
#Found probable prime factor of 34 digits: 5027043972621015155274153602261603
#Composite cofactor 4406138049467862108822304886904684665095340472558491300911579282015207482952828657413786426677152881312064869462756319604850096004769 has 133 digits

**************COFACTOR IS COMPOSITE***************

4406138049467862108822304886904684665095340472558491300911579282015207482952828657413786426677152881312064869462756319604850096004769<133>

41433531372867190291167283842406197561393129410380547<53>
106342324766293711829280395695997048871167748055614496392382541721164071319590027<81>

Factor=41433531372867190291167283842406197561393129410380547  Method=ECM  B1=11000000  Sigma=417595026

ECMNET/GMP-ECM 6.2.3

11481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481<197>

1541538682997486108092462038285734433957144793058057857281416009722861673<73>
7448065759307452366876877828005306670204146180497540890101571996285418693550680753007022233010389291838968682804731542510497<124>

Number: n
N=11481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481
  ( 197 digits)
SNFS difficulty: 197 digits.
Divisors found:

Mon Feb  9 23:38:14 2009  prp73 factor: 1541538682997486108092462038285734433957144793058057857281416009722861673
Mon Feb  9 23:38:14 2009  prp124 factor: 7448065759307452366876877828005306670204146180497540890101571996285418693550680753007022233010389291838968682804731542510497
Mon Feb  9 23:38:14 2009  elapsed time 10:06:08 (Msieve 1.39 - dependency 3)

Version: GGNFS-0.77.1-20050930-k8
Total time: 44.75 hours.
Scaled time: 89.95 units (timescale=2.010).
Factorization parameters were as follows:
name: KA_3_4_195_3
n: 11481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481
deg: 5
c5: 310
c0: -13
m: 1000000000000000000000000000000000000000
skew: 0.53
type: snfs
rlim: 10000000
alim: 10000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 15503027)
Primes: RFBsize:664579, AFBsize:664376, largePrimes:37285387 encountered
Relations: rels:34226712, finalFF:440225
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4998041 hash collisions in 37704766 relations
Msieve: matrix is 2492067 x 2492312 (683.2 MB)

Total sieving time: 43.87 hours.
Total relation processing time: 0.88 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,10000000,10000000,29,29,58,58,2.5,2.5,100000
total time: 44.75 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 3321556k/3407296k available (2912k kernel code, 84428k reserved, 1794k data, 1544k init, 2502088k highmem)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5660.96 BogoMIPS (lpj=2830483)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830446)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830457)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830457)
Total of 4 processors activated (22643.68 BogoMIPS).

218105176437752331489820391937629739992846559084967299801857685194439681438086732115128686860208130502151663126977205905749760966518704952999115569588631441674269666176837436303489817<183>

31718978554313454335064248296767941<35>

6876172764021503279846353192025765375761066473830933599403773173852114080803102720428674084422381287992997630233231841600216245045225929329829236037<148>

#218105176437752331489820391937629739992846559084967299801857685194439681438086732115128686860208130502151663126977205905749760966518704952999115569588631441674269666176837436303489817
#Using B1=3161703, B2=5707048630, polynomial Dickson(6), sigma=1430680339
#Step 1 took 123517ms
#Step 2 took 47699ms
#********** Factor found in step 2: 31718978554313454335064248296767941
#Found probable prime factor of 35 digits: 31718978554313454335064248296767941
#Composite cofactor 6876172764021503279846353192025765375761066473830933599403773173852114080803102720428674084422381287992997630233231841600216245045225929329829236037 has 148 digits



****************************COFACTOR IS COMPOSITE ***********************************

for all the composites submitted today
gmp-ecm 6.1.1 option -I between 1e6 and 3e6 plus a few extra curves at 10e6 (so level 35 digits should be complete)
pp1 done at 10e9 one time for the ten first remaining composites of the list, one time

6876172764021503279846353192025765375761066473830933599403773173852114080803102720428674084422381287992997630233231841600216245045225929329829236037<148>

160608599419467916180238425156508503160780971<45>
42813229110246626832378242698715931155302658567529604693527427746813019118173010124688131079782924202447<104>

6876172764021503279846353192025765375761066473830933599403773173852114080803102720428674084422381287992997630233231841600216245045225929329829236037=160608599419467916180238425156508503160780971*42813229110246626832378242698715931155302658567529604693527427746813019118173010124688131079782924202447

cado polynomial
n: 6876172764021503279846353192025765375761066473830933599403773173852114080803102720428674084422381287992997630233231841600216245045225929329829236037
skew: 1.27
type: snfs
c0: -130
c6: 31
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 31*x^6-130
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 14800000
tasks.lim1 = 14800000
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: 42813229110246626832378242698715931155302658567529604693527427746813019118173010124688131079782924202447 160608599419467916180238425156508503160780971
Info:Square Root: Total cpu/real time for sqrt: 884.11/269.508
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 129.38/150.512
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 149.8s
Info:Linear Algebra: Total cpu/real time for bwc: 159656/40839.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 102589.34, WCT time 26166.76, iteration CPU time 0.26, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (93696 iterations)
Info:Linear Algebra: Lingen CPU time 651.55, WCT time 165.29
Info:Linear Algebra: Mksol: CPU time 55291.05,  WCT time 14111.54, iteration CPU time 0.28, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (47104 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 182.65/48.1587
Info:Generate Factor Base: Total cpu/real time for makefb: 9.69/3.82047
Info:Filtering - Merging: Merged matrix has 2983102 rows and total weight 507655279 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 838.62/231.689
Info:Filtering - Merging: Total cpu/real time for replay: 119.84/104.675
Info:Filtering - Singleton removal: Total cpu/real time for purge: 435.34/514.638
Info:Quadratic Characters: Total cpu/real time for characters: 103.85/45.4061
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 562.78/568.718
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 468.6000000000001s
Info:Square Root: Total cpu/real time for sqrt: 884.11/269.508
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 30063148
Info:Lattice Sieving: Average J: 1894.53 for 4846039 special-q, max bucket fill -bkmult 1.0,1s:1.229890
Info:Lattice Sieving: Total time: 1.06813e+06s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.16329e+06/371438
42813229110246626832378242698715931155302658567529604693527427746813019118173010124688131079782924202447 160608599419467916180238425156508503160780971

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)

37358634180915687227567601584209935956945660371224801169200030227169075532154228246681489429372842855651398674847465490625099027919893905988616813267215374919<158>

25940083465502857858906903992989478577999<41>
1440189436190446608158765705514489631723081130083783577378482507824595252336374286344349047917165742809612424603443081<118>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4254866657
Step 1 took 42698ms
Step 2 took 18885ms
********** Factor found in step 2: 25940083465502857858906903992989478577999
Found probable prime factor of 41 digits: 25940083465502857858906903992989478577999
Probable prime cofactor has 118 digits

GMP-ECM 6.2.3

x86_64 PhenomII X6 1055T

651798861767008176203730011780952055726036353677834782216971802920677332703015086675087180783036186282805115098747857636817812479934717263977028078622623091177<159>

195415996450013731766764192217531436659581111975539989444428637510227531<72>
3335442715068285161781653981122752088965869496373165031439121647360924872390627960688667<88>

651798861767008176203730011780952055726036353677834782216971802920677332703015086675087180783036186282805115098747857636817812479934717263977028078622623091177=195415996450013731766764192217531436659581111975539989444428637510227531*3335442715068285161781653981122752088965869496373165031439121647360924872390627960688667

cado polynomial
n: 651798861767008176203730011780952055726036353677834782216971802920677332703015086675087180783036186282805115098747857636817812479934717263977028078622623091177
skew: 0.84
type: snfs
c0: -13
c5: 31
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = 31*x^5-13
# g(x) = -x+10000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 16000000
tasks.lim1 = 16000000
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: 3335442715068285161781653981122752088965869496373165031439121647360924872390627960688667 195415996450013731766764192217531436659581111975539989444428637510227531
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: 6.87/2.62974
Info:Generate Free Relations: Total cpu/real time for freerel: 203.06/52.3046
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 46471031
Info:Lattice Sieving: Average J: 1893.75 for 3590421 special-q, max bucket fill -bkmult 1.0,1s:1.133560
Info:Lattice Sieving: Total time: 1.20005e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 93.51/205.262
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 204.70000000000002s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 763.25/696.308
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 602.3s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 566.49/588.884
Info:Filtering - Merging: Merged matrix has 3229882 rows and total weight 555697851 (172.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 485.01/139.795
Info:Filtering - Merging: Total cpu/real time for replay: 131.9/116.429
Info:Linear Algebra: Total cpu/real time for bwc: 191568/48984.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 31387.44, iteration CPU time 0.29, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (101376 iterations)
Info:Linear Algebra: Lingen CPU time 674.43, WCT time 194.27
Info:Linear Algebra: Mksol: WCT time 16977.16, iteration CPU time 0.32, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (50688 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 121.23/49.9997
Info:Square Root: Total cpu/real time for sqrt: 915.09/288.35
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.30781e+06/651396
Info:root: Cleaning up computation data in /tmp/cado.pzw6g2iz
3335442715068285161781653981122752088965869496373165031439121647360924872390627960688667 195415996450013731766764192217531436659581111975539989444428637510227531

cado-nfs-3.0.0

Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

7533158092239432901831475103378252531201299544106194701409037445550262132235015485052409633655835102082598649844347236621214178167715174135976579605887164700019250222519627484605279<181>

190548082345535070145578547298351220169<39>
39534158515324203925036122180033184634494967910336888403722996044519314426516542216282159706964194561855809095824464074580955532480223273737191<143>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1840124601
Step 1 took 85914ms
Step 2 took 29543ms
********** Factor found in step 2: 190548082345535070145578547298351220169
Found probable prime factor of 39 digits: 190548082345535070145578547298351220169

2291527130561039884082249746598347441925100169782147612733650197504957791211876709666446150644827923330554409451797341852323208909320839186702809213923968281117509435427<169>

7134667971356500588834081834949<31>
321182028338363764602536162787686023822129665690800770923694699643285795587213157581488191520311555042333835377659505216800645206719348423<138>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3661097282
Step 1 took 3820ms
Step 2 took 2172ms
********** Factor found in step 2: 7134667971356500588834081834949
Found probable prime factor of 31 digits: 7134667971356500588834081834949
Probable prime cofactor (132466937665.../57807274415061435330863)/7134667971356500588834081834949 has 138 digits

776020238281502445281771882543291723591315461740027960962424092739483989648954694016499601183109696819290246029394621547182620165555783673993282374234921348522732152453<168>

409226120630107165927212633145313170482144591771173857<54>
24779847378724856699807464937745503458055784466555803953<56>
76526363050566191758699978416905930350547808821879413309493<59>

Number: n
N=776020238281502445281771882543291723591315461740027960962424092739483989648954694016499601183109696819290246029394621547182620165555783673993282374234921348522732152453  ( 168 digits)
SNFS difficulty: 206 digits.
Divisors found:

Sun Feb 25 13:18:48 2024  prp54 factor: 409226120630107165927212633145313170482144591771173857
Sun Feb 25 13:18:48 2024  prp56 factor: 24779847378724856699807464937745503458055784466555803953
Sun Feb 25 13:18:48 2024  prp59 factor: 76526363050566191758699978416905930350547808821879413309493
Sun Feb 25 13:18:48 2024  elapsed time 03:19:19 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.087).
Factorization parameters were as follows:
#
# N = 31x10^205-13 = 34(204)3
#
n: 776020238281502445281771882543291723591315461740027960962424092739483989648954694016499601183109696819290246029394621547182620165555783673993282374234921348522732152453
m: 100000000000000000000000000000000000000000
deg: 5
c5: 31
c0: -13
skew: 0.84
# Murphy_E = 1.05e-11
type: snfs
lss: 1
rlim: 19300000
alim: 19300000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19300000/19300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 56850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2885368 hash collisions in 17834385 relations (15371690 unique)
Msieve: matrix is 2488696 x 2488921 (702.6 MB)

Sieving start time: 2024/02/24 10:30:12
Sieving end time  : 2024/02/25 09:58:05

Total sieving time: 23hrs 27min 53secs.

Total relation processing time: 3hrs 8min 36sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 42sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19300000,19300000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

50966756632834219751609952476714238182524186720610994872725063919088127419227027757634629011984402628461949507849736185511646989677825671976078899875891887815442795443792348704555527645470321<191>

132312484421448736953172837048487933<36>

385199906537105037398185417040703913876257949984278267743931111798569219274591660001795059684194037298964791297930718767691317966259335512584482077134229637<156>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4234168626
Step 1 took 8642ms
Step 2 took 5336ms
********** Factor found in step 2: 132312484421448736953172837048487933
Found probable prime factor of 36 digits: 132312484421448736953172837048487933
Composite cofactor 385199906537105037398185417040703913876257949984278267743931111798569219274591660001795059684194037298964791297930718767691317966259335512584482077134229637 has 156 digits

GMP-ECM 6.3

49068229871793467959548569446340204419991928103545587904690109449218083992794144783283884296503171240368024466757151071482115121<128>

189525274892664709627557360408863965676374563998023<51>
258900718648648059069352538968909715656511819366755143124062762218047546659527<78>

N = 49068229871793467959548569446340204419991928103545587904690109449218083992794144783283884296503171240368024466757151071482115121 (128 digits)
Divisors found:
r1=189525274892664709627557360408863965676374563998023 (pp51)
r2=258900718648648059069352538968909715656511819366755143124062762218047546659527 (pp78)
Version: Msieve v. 1.48
Total time: 34.22 hours.
Factorization parameters were as follows:
n: 49068229871793467959548569446340204419991928103545587904690109449218083992794144783283884296503171240368024466757151071482115121
Y0: -6149426471703074696856792
Y1: 57998518431449
c0: -26313298661145184881854617331543
c1: 441382408628295696555450662
c2: 1813700966398388333744
c3: -14958089147272322
c4: -9362764521
c5: 5580
skew: 463693.67 
type: gnfs
Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 19367701
Relations: 2167760 relations
Pruned matrix : 1235456 x 1235682
Polynomial selection time: 0.00 hours.
Total sieving time: 32.02 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.92 hours.
time per square root: 0.17 hours.
Prototype def-par.txt line would be: gnfs,127,5,65,2000,1e-05,0.28,250,20,50000,3600,6400000,6400000,28,28,55,55,2.5,2.5,100000
total time: 34.22 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

46857231181167313965313381405142138304417340938994687684077245463495319159376530997658373078197039562370440687088321792967679133050994277114919291572349994551486501<164>

3650427915169661346007996582955324758836666669195803<52>
12836092718458604379047504259693359869999750482624610235679910711647246726039115696705011654448834673955480715967<113>

11/09/24 01:04:19 v1.34.5 @ TRIGKEY,
11/09/24 01:04:19 v1.34.5 @ TRIGKEY, ****************************
11/09/24 01:04:19 v1.34.5 @ TRIGKEY, Starting factorization of 309999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999987
11/09/24 01:04:19 v1.34.5 @ TRIGKEY, using pretesting plan: normal
11/09/24 01:04:19 v1.34.5 @ TRIGKEY, no tune info: using qs/gnfs crossover of 100 digits
11/09/24 01:04:19 v1.34.5 @ TRIGKEY, ****************************
11/09/24 01:04:19 v1.34.5 @ TRIGKEY, div: found prime factor = 3
11/09/24 01:04:19 v1.34.5 @ TRIGKEY, div: found prime factor = 3
11/09/24 01:04:19 v1.34.5 @ TRIGKEY, div: found prime factor = 3
11/09/24 01:04:19 v1.34.5 @ TRIGKEY, div: found prime factor = 19
11/09/24 01:04:19 v1.34.5 @ TRIGKEY, div: found prime factor = 23
11/09/24 01:04:19 v1.34.5 @ TRIGKEY, div: found prime factor = 2341
11/09/24 01:04:19 v1.34.5 @ TRIGKEY, rho: x^2 + 3, starting 1000 iterations on C203
11/09/24 01:04:19 v1.34.5 @ TRIGKEY, rho: x^2 + 2, starting 1000 iterations on C203
11/09/24 01:04:19 v1.34.5 @ TRIGKEY, prp7 = 2077483
11/09/24 01:04:19 v1.34.5 @ TRIGKEY, rho: x^2 + 2, starting 1000 iterations on C196
11/09/24 01:04:19 v1.34.5 @ TRIGKEY, rho: x^2 + 1, starting 1000 iterations on C196
11/09/24 01:04:19 v1.34.5 @ TRIGKEY, pm1: starting B1 = 150K, B2 = gmp-ecm default on C196
11/09/24 01:04:19 v1.34.5 @ TRIGKEY, prp10 = 2464627771
11/09/24 01:04:19 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 0.00
11/09/24 01:04:19 v1.34.5 @ TRIGKEY, scheduled 30 curves at B1=2000 toward target pretesting depth of 57.54
11/09/24 01:04:19 v1.34.5 @ TRIGKEY, Finished 30 curves using Lenstra ECM method on C187 input, B1=2K, B2=gmp-ecm default
11/09/24 01:04:19 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 15.18
11/09/24 01:04:19 v1.34.5 @ TRIGKEY, scheduled 74 curves at B1=11000 toward target pretesting depth of 57.54
11/09/24 01:04:22 v1.34.5 @ TRIGKEY, Finished 74 curves using Lenstra ECM method on C187 input, B1=11K, B2=gmp-ecm default
11/09/24 01:04:22 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 20.24
11/09/24 01:04:22 v1.34.5 @ TRIGKEY, scheduled 214 curves at B1=50000 toward target pretesting depth of 57.54
11/09/24 01:04:26 v1.34.5 @ TRIGKEY, prp23 = 46778860695080021415301 (curve 37 stg2 B1=50000 sigma=2412111598 thread=0)
11/09/24 01:04:26 v1.34.5 @ TRIGKEY, Finished 37 curves using Lenstra ECM method on C187 input, B1=50K, B2=gmp-ecm default
11/09/24 01:04:26 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 21.11
11/09/24 01:04:26 v1.34.5 @ TRIGKEY, scheduled 177 curves at B1=50000 toward target pretesting depth of 50.46
11/09/24 01:05:04 v1.34.5 @ TRIGKEY, nfs: commencing nfs on c210: 309999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999987
11/09/24 01:05:04 v1.34.5 @ TRIGKEY, nfs: input divides 31*10^208 - 13
11/09/24 01:05:04 v1.34.5 @ TRIGKEY, nfs: using supplied cofactor: 46857231181167313965313381405142138304417340938994687684077245463495319159376530997658373078197039562370440687088321792967679133050994277114919291572349994551486501
11/09/24 01:05:04 v1.34.5 @ TRIGKEY, nfs: commencing snfs on c164: 46857231181167313965313381405142138304417340938994687684077245463495319159376530997658373078197039562370440687088321792967679133050994277114919291572349994551486501
11/09/24 01:05:04 v1.34.5 @ TRIGKEY, gen: best 3 polynomials:
n: 46857231181167313965313381405142138304417340938994687684077245463495319159376530997658373078197039562370440687088321792967679133050994277114919291572349994551486501
# 31*10^208-13, difficulty: 212.49, anorm: 4.64e+026, rnorm: 2.18e+047
# scaled difficulty: 215.94, suggest sieving rational side
# size = 1.121e-014, alpha = -0.903, combined = 5.183e-012, rroots = 1
type: snfs
size: 212
skew: 0.2111
c5: 31000
c0: -13
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
n: 46857231181167313965313381405142138304417340938994687684077245463495319159376530997658373078197039562370440687088321792967679133050994277114919291572349994551486501
# 31*10^208-13, difficulty: 210.09, anorm: -3.69e+026, rnorm: 3.08e+047
# scaled difficulty: 213.58, suggest sieving rational side
# size = 1.038e-014, alpha = -0.672, combined = 4.920e-012, rroots = 1
type: snfs
size: 210
skew: 0.4222
c5: 3875
c0: -52
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
n: 46857231181167313965313381405142138304417340938994687684077245463495319159376530997658373078197039562370440687088321792967679133050994277114919291572349994551486501
# 31*10^208-13, difficulty: 210.89, anorm: 5.94e+031, rnorm: 5.18e+040
# scaled difficulty: 212.38, suggest sieving rational side
# size = 1.346e-010, alpha = -1.197, combined = 4.126e-012, rroots = 2
type: snfs
size: 210
skew: 0.9320
c6: 496
c0: -325
Y1: -1
Y0: 50000000000000000000000000000000000
m: 50000000000000000000000000000000000
11/09/24 01:05:06 v1.34.5 @ TRIGKEY, test: fb generation took 1.7618 seconds
11/09/24 01:05:06 v1.34.5 @ TRIGKEY, test: commencing test sieving of polynomial 0 on the rational side over range 22600000-22602000
skew: 0.2111
c5: 31000
c0: -13
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
rlim: 22600000
alim: 22600000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
11/09/24 01:08:07 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file
11/09/24 01:08:09 v1.34.5 @ TRIGKEY, test: fb generation took 1.6239 seconds
11/09/24 01:08:09 v1.34.5 @ TRIGKEY, test: commencing test sieving of polynomial 1 on the rational side over range 21400000-21402000
skew: 0.4222
c5: 3875
c0: -52
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
11/09/24 01:11:11 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file
11/09/24 01:11:13 v1.34.5 @ TRIGKEY, test: fb generation took 2.4408 seconds
11/09/24 01:11:13 v1.34.5 @ TRIGKEY, test: commencing test sieving of polynomial 2 on the rational side over range 22600000-22602000
skew: 0.9320
c6: 496
c0: -325
Y1: -1
Y0: 50000000000000000000000000000000000
m: 50000000000000000000000000000000000
rlim: 22600000
alim: 22600000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
11/09/24 01:14:07 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file
11/09/24 01:14:07 v1.34.5 @ TRIGKEY, gen: selected polynomial:
n: 46857231181167313965313381405142138304417340938994687684077245463495319159376530997658373078197039562370440687088321792967679133050994277114919291572349994551486501
# 31*10^208-13, difficulty: 210.09, anorm: -3.69e+026, rnorm: 3.08e+047
# scaled difficulty: 213.58, suggest sieving rational side
# size = 1.038e-014, alpha = -0.672, combined = 4.920e-012, rroots = 1
type: snfs
size: 210
skew: 0.4222
c5: 3875
c0: -52
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
11/09/24 01:14:07 v1.34.5 @ TRIGKEY, test: test sieving took 542.47 seconds
11/09/24 06:15:24 v1.34.5 @ TRIGKEY, nfs: previous data file found - commencing search for last special-q
11/09/24 06:15:24 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file
11/09/24 06:15:24 v1.34.5 @ TRIGKEY, nfs: commencing nfs on c164: 46857231181167313965313381405142138304417340938994687684077245463495319159376530997658373078197039562370440687088321792967679133050994277114919291572349994551486501
11/09/24 06:15:24 v1.34.5 @ TRIGKEY, nfs: resuming with filtering
11/10/24 21:34:47 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
11/10/24 21:36:43 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 22151196
11/10/24 23:53:29 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
11/10/24 23:55:32 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 23284487
11/11/24 02:29:56 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
11/11/24 02:32:05 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 24544824
11/11/24 05:05:15 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
11/11/24 05:07:28 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 25787968
11/11/24 07:57:53 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
11/11/24 08:00:13 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 27159424
11/11/24 11:06:32 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
11/11/24 11:10:45 v1.34.5 @ TRIGKEY, nfs: commencing msieve linear algebra
11/11/24 14:41:33 v1.34.5 @ TRIGKEY, nfs: commencing msieve sqrt
11/11/24 14:52:17 v1.34.5 @ TRIGKEY, prp52 = 3650427915169661346007996582955324758836666669195803
11/11/24 14:52:17 v1.34.5 @ TRIGKEY, prp113 = 12836092718458604379047504259693359869999750482624610235679910711647246726039115696705011654448834673955480715967
11/11/24 14:52:17 v1.34.5 @ TRIGKEY, NFS elapsed time = 203813.2096 seconds.

YAFU

225366761565361990612711985404004967592547316682815193907422842237844265176867323537333091652574325909017867225497912983826995040608330312825123212362797189492584874886105799123468177950265050624478197<201>

37420631511882982389176786407218823307583277<44>
6022526944629365995369120113536263408647385533733365589203122202927709867363641064408094698807064791612744034447490037550818716182763831192079663064264137961<157>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=147861832
Step 1 took 392465ms
Step 2 took 96529ms
********** Factor found in step 2: 37420631511882982389176786407218823307583277
Found probable prime factor of 44 digits: 37420631511882982389176786407218823307583277

71220744891777642909103093051911449830607766205532927434104400988284347744349561516153828242315500435931409975478745106691357531894964885028098037037891173239982160237051038327919210496584920695829157<200>

136169882170690527977422820654294506607320056638721413108524861665685927788477967866655354868731<96>
523028615112566613285592986276907805747075319544805114545413886074581181904681517593848316464833982394847<105>

Number: n
N=71220744891777642909103093051911449830607766205532927434104400988284347744349561516153828242315500435931409975478745106691357531894964885028098037037891173239982160237051038327919210496584920695829157  ( 200 digits)
SNFS difficulty: 213 digits.
Divisors found:

Sun Oct 18 02:22:48 2020  p96 factor: 136169882170690527977422820654294506607320056638721413108524861665685927788477967866655354868731
Sun Oct 18 02:22:48 2020  p105 factor: 523028615112566613285592986276907805747075319544805114545413886074581181904681517593848316464833982394847
Sun Oct 18 02:22:48 2020  elapsed time 04:21:06 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.324).
Factorization parameters were as follows:
#
# N = 31x10^212-13 = 34(211)3
#
n: 71220744891777642909103093051911449830607766205532927434104400988284347744349561516153828242315500435931409975478745106691357531894964885028098037037891173239982160237051038327919210496584920695829157
m: 100000000000000000000000000000000000
deg: 6
c6: 3100
c0: -13
skew: 0.40
# Murphy_E = 4.558e-12
type: snfs
lss: 1
rlim: 25000000
alim: 25000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 25000000/25000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 45300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10113315 hash collisions in 64763890 relations (56178210 unique)
Msieve: matrix is 2974613 x 2974838 (1044.5 MB)

Sieving start time: 2020/10/17 01:34:55
Sieving end time  : 2020/10/17 21:52:04

Total sieving time: 20hrs 17min 9secs.

Total relation processing time: 3hrs 27min 2sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 15min 13sec.

Prototype def-par.txt line would be:
snfs,213,6,0,0,0,0,0,0,0,0,25000000,25000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118671] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16235804K/16727236K available (14339K kernel code, 2398K rwdata, 4956K rodata, 2716K init, 4988K bss, 491432K reserved, 0K cma-reserved)
[    0.153508] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.17 BogoMIPS (lpj=12798352)
[    0.152049] smpboot: Total of 16 processors activated (102386.81 BogoMIPS)

267011197243755383290267011197243755383290267011197243755383290267011197243755383290267011197243755383290267011197243755383290267011197243755383290267011197243755383290267011197243755383290267011197243755383290267<213>

330629860935700989608453672132313439<36>

807583430268817124975781642338645408108917767150844580196000858709197108946015053499800802189609716402335600947781902983864521101314937761612998916299476609579274626496704202053<177>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=719118608
Step 1 took 28748ms
Step 2 took 10235ms
********** Factor found in step 2: 330629860935700989608453672132313439
Found probable prime factor of 36 digits: 330629860935700989608453672132313439
Composite cofactor 807583430268817124975781642338645408108917767150844580196000858709197108946015053499800802189609716402335600947781902983864521101314937761612998916299476609579274626496704202053 has 177 digits

GMP-ECM 6.3

3674824030846822453470393766618744647102522870852245093284537914944670600642135351722339030643291286345749515844331337418454214549522290438247720672451022679607836551262803835573<178>

130603506380363382118618450464865811843028615519963728205687006247993125278957566987350186617977468384305607571669178347709853440402658010774022909544910146680549542965442671155130143963383092729<195>

102644137550613077414310888735386391079905107<45>
1272391287967749189371989431831044513150819178353216811990562190601551606516028664624861768104348205765357451244413094332332711441642785519791955206147<151>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2824021203
Step 1 took 394721ms
Step 2 took 101013ms
********** Factor found in step 2: 102644137550613077414310888735386391079905107
Found probable prime factor of 45 digits: 102644137550613077414310888735386391079905107

10370712591704658337348728059701440965991639434675341266458017478680414164885836100644818614007886328256133242623431020032600146129159196467242671257062493890341024929512483000586533886719055586842986123489<206>

8735243858075774204203783994215157887909391434898641<52>
1187226454143794230131989728077729327489163531649776602069184358765000939634650817394313942343912001222623320577249809843520189873212416053441652115846929<154>

Number: n
N=10370712591704658337348728059701440965991639434675341266458017478680414164885836100644818614007886328256133242623431020032600146129159196467242671257062493890341024929512483000586533886719055586842986123489  ( 206 digits)
SNFS difficulty: 218 digits.
Divisors found:

Sat Jun 20 15:49:00 2020  p52 factor: 8735243858075774204203783994215157887909391434898641
Sat Jun 20 15:49:00 2020  p154 factor: 1187226454143794230131989728077729327489163531649776602069184358765000939634650817394313942343912001222623320577249809843520189873212416053441652115846929
Sat Jun 20 15:49:00 2020  elapsed time 07:18:09 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.122).
Factorization parameters were as follows:
#
# N = 31x10^217-13 = 34(216)3
#
n: 10370712591704658337348728059701440965991639434675341266458017478680414164885836100644818614007886328256133242623431020032600146129159196467242671257062493890341024929512483000586533886719055586842986123489
m: 1000000000000000000000000000000000000
deg: 6
c6: 310
c0: -13
skew: 0.59
# Murphy_E = 2.857e-12
type: snfs
lss: 1
rlim: 31000000
alim: 31000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 31000000/31000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 84300000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9638719 hash collisions in 59556898 relations (52263457 unique)
Msieve: matrix is 4039621 x 4039846 (1415.7 MB)

Sieving start time: 2020/06/18 17:40:44
Sieving end time  : 2020/06/20 08:29:56

Total sieving time: 38hrs 49min 12secs.

Total relation processing time: 6hrs 50min 56sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 14sec.
Prototype def-par.txt line would be:
snfs,218,6,0,0,0,0,0,0,0,0,31000000,31000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149558] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283204K/16703460K available (12300K kernel code, 2481K rwdata, 4268K rodata, 2432K init, 2712K bss, 420256K reserved, 0K cma-reserved)
[    0.184558] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.59 BogoMIPS (lpj=11977184)
[    0.182227] smpboot: Total of 16 processors activated (95817.47 BogoMIPS)

49206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349<218>

8672985095014785257122584779573<31>
5673519401599446874878288724650238424962554886255129554213828826695494316793333299520049170760151330340697952293277347305672884795994533151027639512847131206245176334139575819429308400313<187>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=357019724
Step 1 took 11544ms
Step 2 took 6536ms
********** Factor found in step 2: 8672985095014785257122584779573
Found probable prime factor of 31 digits: 8672985095014785257122584779573
Probable prime cofactor 5673519401599446874878288724650238424962554886255129554213828826695494316793333299520049170760151330340697952293277347305672884795994533151027639512847131206245176334139575819429308400313 has 187 digits

GMP-ECM 6.3

25480621438391129740691849252986426701884586776733260226826796021376041373487421389045262034166561016033774111358714121480230389545268276262941240080218469528723678366056548470046023453205861983597<197>

114462860069987282415568859401181<33>
222610385786369777952625434442578878643795762707240746921928604389065379276179912653709434002628104948737320077884396211816704750742069128341595445657067604043017937<165>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2391799021
Step 1 took 9828ms
Step 2 took 5787ms
********** Factor found in step 2: 114462860069987282415568859401181
Found probable prime factor of 33 digits: 114462860069987282415568859401181
Probable prime cofactor 222610385786369777952625434442578878643795762707240746921928604389065379276179912653709434002628104948737320077884396211816704750742069128341595445657067604043017937 has 165 digits

GMP-ECM 6.3

3175633331130022631185304559851052360782897179430807583880335535705581093835599903482385770488774806463341400166849758519326117365828143321631633261711311559<157>

178689457681619807217959210303<30>
17771800151681090160122550669766567412594654641102440350357609375085365145624766890172763567334869231257441517724668220875538553<128>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3689004651
Step 1 took 6505ms
Step 2 took 4727ms
********** Factor found in step 2: 178689457681619807217959210303
Found probable prime factor of 30 digits: 178689457681619807217959210303
Probable prime cofactor 17771800151681090160122550669766567412594654641102440350357609375085365145624766890172763567334869231257441517724668220875538553 has 128 digits

GMP-ECM 6.3

51772979881864274362227065024814928976023726440045380594210157157589450029886963692488570298919579520117930291371807420462509859796395202389595839068446422386285919543598336239830943580606343<191>

3922271555748172205796832389248561<34>

13199743859139450349245772611423532595029213782512501489598377858767769003069875260599706637663504385701916829584621295811952104373644245859840710536418827063<158>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2747073848
Step 1 took 4576ms
Step 2 took 2404ms
********** Factor found in step 2: 3922271555748172205796832389248561
Found probable prime factor of 34 digits: 3922271555748172205796832389248561
Composite cofactor (230691476350.../44558276706619594574003)/3922271555748172205796832389248561 has 158 digits

13199743859139450349245772611423532595029213782512501489598377858767769003069875260599706637663504385701916829584621295811952104373644245859840710536418827063<158>

354756304434412062623978200140590692231<39>
37207919053570592750448072629923906317290037997532074479330704187934804887709743765871076716091370002417166982362008273<119>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2986231051
Step 1 took 296387ms
Step 2 took 80424ms
********** Factor found in step 2: 354756304434412062623978200140590692231
Found probable prime factor of 39 digits: 354756304434412062623978200140590692231
Probable prime cofactor 37207919053570592750448072629923906317290037997532074479330704187934804887709743765871076716091370002417166982362008273 has 119 digits

332145441200626818684595899036599554051222618394992261902380178077007473497228440568127757964222669780012727257344844461629515854805150005571015560091396745611825028211993828974686118866819240400933676427<204>

211650637685410293419979141864359<33>

1569309900659574481727823171455697377210366400939603558594407826171202829079857117481347969474590417813341289295609431637866602468137738077949152789440011667353668053750653<172>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1134580038
Step 1 took 99699ms
Step 2 took 33559ms
********** Factor found in step 2: 211650637685410293419979141864359
Found probable prime factor of 33 digits: 211650637685410293419979141864359

1569309900659574481727823171455697377210366400939603558594407826171202829079857117481347969474590417813341289295609431637866602468137738077949152789440011667353668053750653<172>

14443292425234186056101212954777794871331622705208177751<56>
108653197239003448203302146561084508316722649453970615003064677857506744137312955791401204449427000942353697048867403<117>

Number: 34443_222
N = 1569309900659574481727823171455697377210366400939603558594407826171202829079857117481347969474590417813341289295609431637866602468137738077949152789440011667353668053750653 (172 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=14443292425234186056101212954777794871331622705208177751 (pp56)
r2=108653197239003448203302146561084508316722649453970615003064677857506744137312955791401204449427000942353697048867403 (pp117)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 70.43 hours.
Factorization parameters were as follows:
n: 1569309900659574481727823171455697377210366400939603558594407826171202829079857117481347969474590417813341289295609431637866602468137738077949152789440011667353668053750653
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 3100
c0: -13
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 34267319
Relations: 9528182 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 28.67 hours.
Total relation processing time: 0.35 hours.
Pruned matrix : 8126558 x 8126783
Matrix solve time: 41.12 hours.
time per square root: 0.29 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 70.43 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

61985601269235740395494337559346158506959203577585181069523698529216057406738103611016864952196485624962029004965904208264962831897388787003067803152681860236186207914084114454946541030257397630714020568388720113<212>

256283066896432712336560992053643927598574970011746818154237768913780734479181<78>
241863818861996528623378139439104721832304226275861868936965087198192934568452486096318798491423164876615526649865041795122500762417973<135>

Number: n
N=61985601269235740395494337559346158506959203577585181069523698529216057406738103611016864952196485624962029004965904208264962831897388787003067803152681860236186207914084114454946541030257397630714020568388720113  ( 212 digits)
SNFS difficulty: 224 digits.
Divisors found:

Mon May 11 18:50:19 2020  p78 factor: 256283066896432712336560992053643927598574970011746818154237768913780734479181
Mon May 11 18:50:19 2020  p135 factor: 241863818861996528623378139439104721832304226275861868936965087198192934568452486096318798491423164876615526649865041795122500762417973
Mon May 11 18:50:19 2020  elapsed time 14:19:43 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.121).
Factorization parameters were as follows:
#
# N = 31x10^223-13 = 34(222)3
#
n: 61985601269235740395494337559346158506959203577585181069523698529216057406738103611016864952196485624962029004965904208264962831897388787003067803152681860236186207914084114454946541030257397630714020568388720113
m: 10000000000000000000000000000000000000
deg: 6
c6: 310
c0: -13
skew: 0.59
# Murphy_E = 1.789e-12
type: snfs
lss: 1
rlim: 39000000
alim: 39000000
lpbr: 29
lpba: 29
mfbr: 59
mfba: 59
rlambda: 2.6
alambda: 2.6
Factor base limits: 39000000/39000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 59/59
Sieved  special-q in [100000, 102700000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9738058 hash collisions in 57170592 relations (49462500 unique)
Msieve: matrix is 5465804 x 5466029 (1920.2 MB)

Sieving start time: 2020/05/08 21:58:10
Sieving end time  : 2020/05/11 04:29:43

Total sieving time: 54hrs 31min 33secs.

Total relation processing time: 13hrs 47min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 10min 57sec.

Prototype def-par.txt line would be:
snfs,224,6,0,0,0,0,0,0,0,0,39000000,39000000,29,29,59,59,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149449] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283224K/16703460K available (12300K kernel code, 2481K rwdata, 4268K rodata, 2432K init, 2712K bss, 420236K reserved, 0K cma-reserved)
[    0.184573] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.29 BogoMIPS (lpj=11976580)
[    0.182230] smpboot: Total of 16 processors activated (95812.64 BogoMIPS)

21457524240089828100471603627802609441013719895050164613737149462024972851212231415122884090623093597208363789724527593535204189094941741891432965682442852553400379628741111308218168839607<188>

73286052009456264775413711583924349881796690307328605200945626477541371158392434988179669030732860520094562647754137115839243498817966903073286052009456264775413711583924349881796690307328605200945626477541371158392434988179669<227>

460868203436457023241887546811756114925653269465323026033911<60>
159017375169299789088037132090636313875034413300747443749622189023780156492157864342671501997514026922153998999860909539618904649249191688690393527674137800479541733779<168>

Number: n
N=73286052009456264775413711583924349881796690307328605200945626477541371158392434988179669030732860520094562647754137115839243498817966903073286052009456264775413711583924349881796690307328605200945626477541371158392434988179669
  ( 227 digits)
SNFS difficulty: 229 digits.
Divisors found:

Sun Nov 25 22:33:12 2018  p60 factor: 460868203436457023241887546811756114925653269465323026033911
Sun Nov 25 22:33:12 2018  p168 factor: 159017375169299789088037132090636313875034413300747443749622189023780156492157864342671501997514026922153998999860909539618904649249191688690393527674137800479541733779
Sun Nov 25 22:33:12 2018  elapsed time 21:47:17 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.126).
Factorization parameters were as follows:
#
# N = 31x10^228-13 = 34(227)3
#
n: 73286052009456264775413711583924349881796690307328605200945626477541371158392434988179669030732860520094562647754137115839243498817966903073286052009456264775413711583924349881796690307328605200945626477541371158392434988179669
m: 100000000000000000000000000000000000000
deg: 6
c6: 31
c0: -13
skew: 0.87
# Murphy_E = 1.182e-12
type: snfs
lss: 1
rlim: 47000000
alim: 47000000
lpbr: 30
lpba: 30
mfbr: 59
mfba: 59
rlambda: 2.7
alambda: 2.7
Factor base limits: 47000000/47000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 59/59
Sieved  special-q in [100000, 92300000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 18670172 hash collisions in 107247920 relations (90977661 unique)
Msieve: matrix is 6518311 x 6518536 (2285.2 MB)

Sieving start time: 2018/11/22 23:23:27
Sieving end time  : 2018/11/25 00:42:27

Total sieving time: 49hrs 19min 0secs.

Total relation processing time: 20hrs 54min 49sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 13min 58sec.

Prototype def-par.txt line would be:
snfs,229,6,0,0,0,0,0,0,0,0,47000000,47000000,30,30,59,59,2.7,2.7,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.044000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16285108K/16703460K available (12300K kernel code, 2472K rwdata, 4248K rodata, 2408K init, 2416K bss, 418352K reserved, 0K cma-reserved)
[    0.076577] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.57 BogoMIPS (lpj=11977156)
[    0.074209] smpboot: Total of 16 processors activated (95817.24 BogoMIPS)

6273992176543000518790081287189352730747623068081975452203693292024941931567161095304400881145117113323265725511348020225717632443304835721315274577712890772026295785839905136317291873795207709<193>

247445211858046792751582175662641074976415674973092417909466049114988878744414063927044393046690090655556835310914488607780771008431676039209258427225814232151240197373906276985346905187506568373719<198>

1176409291781410770561188489638122271<37>
210339389179208147357013202236974601198295804594006782446946814547703125361658263614433751646721475940448531904673733386940786130126326917822187405129670196399689<162>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2358890366
Step 1 took 46812ms
Step 2 took 696ms
********** Factor found in step 2: 1176409291781410770561188489638122271
Found probable prime factor of 37 digits: 1176409291781410770561188489638122271

3428637546012496753536212103709717745340207275677120343210187306728325407091252611047193174189694008397239703343489479823868758585902986447890875416033943215101457167889150886635956903057481769770086320835789<208>

8708743152124486856670697649<28>

393700616279639039393068478124317228918115741384823463898560331124101457140608237133727759098289408481976384423078854039250470973172936444662051919693625595774003878002494425840861<180>

Using B1=250000, B2=128992510, polynomial Dickson(3), sigma=1389616449
Step 1 took 1376ms
Step 2 took 656ms
********** Factor found in step 2: 8708743152124486856670697649
Found probable prime factor of 28 digits: 8708743152124486856670697649
Composite cofactor 393700616279... has 180 digits

393700616279639039393068478124317228918115741384823463898560331124101457140608237133727759098289408481976384423078854039250470973172936444662051919693625595774003878002494425840861<180>

7962599106828044844749149627531907<34>

49443732002284909708653855341761279851069571334954364700201141893382981897875901642417116152300941696392811434881132952910155985920539987610101023<146>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=439832136
Step 1 took 38969ms
Step 2 took 13240ms
********** Factor found in step 2: 7962599106828044844749149627531907
Found probable prime factor of 34 digits: 7962599106828044844749149627531907

49443732002284909708653855341761279851069571334954364700201141893382981897875901642417116152300941696392811434881132952910155985920539987610101023<146>

33271715455831229540248894606148999085525542954742752393<56>
1486058994100328500005354007100808815947859533844298874157432987726491207861210492251447911<91>

Factors:
  p56 factor: 33271715455831229540248894606148999085525542954742752393
  p91 factor: 1486058994100328500005354007100808815947859533844298874157432987726491207861210492251447911


Fri Dec 11 14:06:40 2020  
Fri Dec 11 14:06:40 2020  
Fri Dec 11 14:06:40 2020  Msieve v. 1.54 (SVN 1032M)
Fri Dec 11 14:06:40 2020  random seeds: 3526e8c9 7736095f
Fri Dec 11 14:06:40 2020  factoring 49443732002284909708653855341761279851069571334954364700201141893382981897875901642417116152300941696392811434881132952910155985920539987610101023 (146 digits)
Fri Dec 11 14:06:41 2020  searching for 15-digit factors
Fri Dec 11 14:06:42 2020  commencing number field sieve (146-digit input)
Fri Dec 11 14:06:42 2020  R0: -12047841678110918143816970242
Fri Dec 11 14:06:42 2020  R1: 1574232904727483374549
Fri Dec 11 14:06:42 2020  A0: -541697425400634385829487172160490
Fri Dec 11 14:06:42 2020  A1: 31896604899713200651362935483
Fri Dec 11 14:06:42 2020  A2: -147714019658582402969862
Fri Dec 11 14:06:42 2020  A3: -1411257103850466131
Fri Dec 11 14:06:42 2020  A4: 1214449257840
Fri Dec 11 14:06:42 2020  A5: 2203200
Fri Dec 11 14:06:42 2020  skew 1.00, size 4.749e-14, alpha -7.528, combined = 2.419e-13 rroots = 5
Fri Dec 11 14:06:42 2020  
Fri Dec 11 14:06:42 2020  commencing relation filtering
Fri Dec 11 14:06:42 2020  estimated available RAM is 48213.5 MB
Fri Dec 11 14:06:42 2020  commencing duplicate removal, pass 1
Fri Dec 11 14:14:08 2020  found 3042076 hash collisions in 59227988 relations
Fri Dec 11 14:14:45 2020  added 122300 free relations
Fri Dec 11 14:14:45 2020  commencing duplicate removal, pass 2
Fri Dec 11 14:15:03 2020  found 0 duplicates and 59350288 unique relations
Fri Dec 11 14:15:03 2020  memory use: 189.2 MB
Fri Dec 11 14:15:03 2020  reading ideals above 720000
Fri Dec 11 14:15:04 2020  commencing singleton removal, initial pass
Fri Dec 11 14:21:26 2020  memory use: 1506.0 MB
Fri Dec 11 14:21:26 2020  reading all ideals from disk
Fri Dec 11 14:21:27 2020  memory use: 1965.8 MB
Fri Dec 11 14:21:32 2020  keeping 64159024 ideals with weight <= 200, target excess is 422145
Fri Dec 11 14:21:39 2020  commencing in-memory singleton removal
Fri Dec 11 14:21:43 2020  begin with 59350288 relations and 64159024 unique ideals
Fri Dec 11 14:22:14 2020  reduce to 18901293 relations and 16499045 ideals in 17 passes
Fri Dec 11 14:22:14 2020  max relations containing the same ideal: 91
Fri Dec 11 14:22:23 2020  removing 2644901 relations and 2244901 ideals in 400000 cliques
Fri Dec 11 14:22:23 2020  commencing in-memory singleton removal
Fri Dec 11 14:22:24 2020  begin with 16256392 relations and 16499045 unique ideals
Fri Dec 11 14:22:35 2020  reduce to 15982263 relations and 13972903 ideals in 9 passes
Fri Dec 11 14:22:35 2020  max relations containing the same ideal: 81
Fri Dec 11 14:22:42 2020  removing 2022582 relations and 1622582 ideals in 400000 cliques
Fri Dec 11 14:22:42 2020  commencing in-memory singleton removal
Fri Dec 11 14:22:43 2020  begin with 13959681 relations and 13972903 unique ideals
Fri Dec 11 14:22:52 2020  reduce to 13763402 relations and 12149231 ideals in 9 passes
Fri Dec 11 14:22:52 2020  max relations containing the same ideal: 73
Fri Dec 11 14:22:58 2020  removing 1836608 relations and 1436608 ideals in 400000 cliques
Fri Dec 11 14:22:59 2020  commencing in-memory singleton removal
Fri Dec 11 14:22:59 2020  begin with 11926794 relations and 12149231 unique ideals
Fri Dec 11 14:23:06 2020  reduce to 11737419 relations and 10518083 ideals in 9 passes
Fri Dec 11 14:23:06 2020  max relations containing the same ideal: 68
Fri Dec 11 14:23:12 2020  removing 1753081 relations and 1353081 ideals in 400000 cliques
Fri Dec 11 14:23:12 2020  commencing in-memory singleton removal
Fri Dec 11 14:23:13 2020  begin with 9984338 relations and 10518083 unique ideals
Fri Dec 11 14:23:19 2020  reduce to 9781073 relations and 8955564 ideals in 10 passes
Fri Dec 11 14:23:19 2020  max relations containing the same ideal: 59
Fri Dec 11 14:23:23 2020  removing 1497423 relations and 1161603 ideals in 335820 cliques
Fri Dec 11 14:23:24 2020  commencing in-memory singleton removal
Fri Dec 11 14:23:24 2020  begin with 8283650 relations and 8955564 unique ideals
Fri Dec 11 14:23:30 2020  reduce to 8106215 relations and 7611367 ideals in 11 passes
Fri Dec 11 14:23:30 2020  max relations containing the same ideal: 52
Fri Dec 11 14:23:34 2020  relations with 0 large ideals: 6138
Fri Dec 11 14:23:34 2020  relations with 1 large ideals: 72801
Fri Dec 11 14:23:34 2020  relations with 2 large ideals: 410506
Fri Dec 11 14:23:34 2020  relations with 3 large ideals: 1227447
Fri Dec 11 14:23:34 2020  relations with 4 large ideals: 2121871
Fri Dec 11 14:23:34 2020  relations with 5 large ideals: 2198632
Fri Dec 11 14:23:34 2020  relations with 6 large ideals: 1398253
Fri Dec 11 14:23:34 2020  relations with 7+ large ideals: 670567
Fri Dec 11 14:23:34 2020  commencing 2-way merge
Fri Dec 11 14:23:39 2020  reduce to 4611289 relation sets and 4116441 unique ideals
Fri Dec 11 14:23:39 2020  commencing full merge
Fri Dec 11 14:24:36 2020  memory use: 440.0 MB
Fri Dec 11 14:24:37 2020  found 2187880 cycles, need 2120641
Fri Dec 11 14:24:38 2020  weight of 2120641 cycles is about 191098006 (90.11/cycle)
Fri Dec 11 14:24:38 2020  distribution of cycle lengths:
Fri Dec 11 14:24:38 2020  1 relations: 164481
Fri Dec 11 14:24:38 2020  2 relations: 172813
Fri Dec 11 14:24:38 2020  3 relations: 192259
Fri Dec 11 14:24:38 2020  4 relations: 190152
Fri Dec 11 14:24:38 2020  5 relations: 191163
Fri Dec 11 14:24:38 2020  6 relations: 180090
Fri Dec 11 14:24:38 2020  7 relations: 169599
Fri Dec 11 14:24:38 2020  8 relations: 153750
Fri Dec 11 14:24:38 2020  9 relations: 137500
Fri Dec 11 14:24:38 2020  10+ relations: 568834
Fri Dec 11 14:24:38 2020  heaviest cycle: 21 relations
Fri Dec 11 14:24:38 2020  commencing cycle optimization
Fri Dec 11 14:24:42 2020  start with 14774564 relations
Fri Dec 11 14:25:02 2020  pruned 406312 relations
Fri Dec 11 14:25:02 2020  memory use: 471.2 MB
Fri Dec 11 14:25:02 2020  distribution of cycle lengths:
Fri Dec 11 14:25:02 2020  1 relations: 164481
Fri Dec 11 14:25:02 2020  2 relations: 176806
Fri Dec 11 14:25:02 2020  3 relations: 198881
Fri Dec 11 14:25:02 2020  4 relations: 196265
Fri Dec 11 14:25:02 2020  5 relations: 197704
Fri Dec 11 14:25:02 2020  6 relations: 185013
Fri Dec 11 14:25:02 2020  7 relations: 174287
Fri Dec 11 14:25:02 2020  8 relations: 156624
Fri Dec 11 14:25:02 2020  9 relations: 139451
Fri Dec 11 14:25:02 2020  10+ relations: 531129
Fri Dec 11 14:25:02 2020  heaviest cycle: 21 relations
Fri Dec 11 14:25:06 2020  RelProcTime: 1104
Fri Dec 11 14:25:06 2020  elapsed time 00:18:26
Fri Dec 11 14:25:07 2020  
Fri Dec 11 14:25:07 2020  
Fri Dec 11 14:25:07 2020  Msieve v. 1.54 (SVN 1032M)
Fri Dec 11 14:25:07 2020  random seeds: bae72cea 00002656
Fri Dec 11 14:25:07 2020  factoring 49443732002284909708653855341761279851069571334954364700201141893382981897875901642417116152300941696392811434881132952910155985920539987610101023 (146 digits)
Fri Dec 11 14:25:08 2020  searching for 15-digit factors
Fri Dec 11 14:25:08 2020  commencing number field sieve (146-digit input)
Fri Dec 11 14:25:08 2020  R0: -12047841678110918143816970242
Fri Dec 11 14:25:08 2020  R1: 1574232904727483374549
Fri Dec 11 14:25:08 2020  A0: -541697425400634385829487172160490
Fri Dec 11 14:25:08 2020  A1: 31896604899713200651362935483
Fri Dec 11 14:25:08 2020  A2: -147714019658582402969862
Fri Dec 11 14:25:08 2020  A3: -1411257103850466131
Fri Dec 11 14:25:08 2020  A4: 1214449257840
Fri Dec 11 14:25:08 2020  A5: 2203200
Fri Dec 11 14:25:08 2020  skew 1.00, size 4.749e-14, alpha -7.528, combined = 2.419e-13 rroots = 5
Fri Dec 11 14:25:08 2020  
Fri Dec 11 14:25:08 2020  commencing linear algebra
Fri Dec 11 14:25:08 2020  read 2120641 cycles
Fri Dec 11 14:25:12 2020  cycles contain 7690627 unique relations
Fri Dec 11 14:25:50 2020  read 7690627 relations
Fri Dec 11 14:26:00 2020  using 20 quadratic characters above 4294917295
Fri Dec 11 14:26:44 2020  building initial matrix
Fri Dec 11 14:27:58 2020  memory use: 1017.7 MB
Fri Dec 11 14:27:59 2020  read 2120641 cycles
Fri Dec 11 14:27:59 2020  matrix is 2120450 x 2120641 (791.1 MB) with weight 247593138 (116.75/col)
Fri Dec 11 14:27:59 2020  sparse part has weight 181924284 (85.79/col)
Fri Dec 11 14:28:26 2020  filtering completed in 2 passes
Fri Dec 11 14:28:26 2020  matrix is 2118026 x 2118217 (790.7 MB) with weight 247461089 (116.83/col)
Fri Dec 11 14:28:26 2020  sparse part has weight 181869858 (85.86/col)
Fri Dec 11 14:28:36 2020  matrix starts at (0, 0)
Fri Dec 11 14:28:36 2020  matrix is 2118026 x 2118217 (790.7 MB) with weight 247461089 (116.83/col)
Fri Dec 11 14:28:36 2020  sparse part has weight 181869858 (85.86/col)
Fri Dec 11 14:28:36 2020  saving the first 48 matrix rows for later
Fri Dec 11 14:28:37 2020  matrix includes 64 packed rows
Fri Dec 11 14:28:37 2020  matrix is 2117978 x 2118217 (763.5 MB) with weight 203673668 (96.15/col)
Fri Dec 11 14:28:37 2020  sparse part has weight 178952240 (84.48/col)
Fri Dec 11 14:28:37 2020  using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
Fri Dec 11 14:28:45 2020  commencing Lanczos iteration (8 threads)
Fri Dec 11 14:28:45 2020  memory use: 714.9 MB
Fri Dec 11 14:28:50 2020  linear algebra at 0.1%, ETA 1h32m
Fri Dec 11 14:28:52 2020  checkpointing every 1220000 dimensions
Fri Dec 11 16:09:04 2020  lanczos halted after 33494 iterations (dim = 2117976)
Fri Dec 11 16:09:07 2020  recovered 28 nontrivial dependencies
Fri Dec 11 16:09:07 2020  BLanczosTime: 6239
Fri Dec 11 16:09:07 2020  elapsed time 01:44:00
Fri Dec 11 16:09:07 2020  
Fri Dec 11 16:09:07 2020  
Fri Dec 11 16:09:07 2020  Msieve v. 1.54 (SVN 1032M)
Fri Dec 11 16:09:07 2020  random seeds: 1d314ce6 90eb45f7
Fri Dec 11 16:09:07 2020  factoring 49443732002284909708653855341761279851069571334954364700201141893382981897875901642417116152300941696392811434881132952910155985920539987610101023 (146 digits)
Fri Dec 11 16:09:08 2020  searching for 15-digit factors
Fri Dec 11 16:09:09 2020  commencing number field sieve (146-digit input)
Fri Dec 11 16:09:09 2020  R0: -12047841678110918143816970242
Fri Dec 11 16:09:09 2020  R1: 1574232904727483374549
Fri Dec 11 16:09:09 2020  A0: -541697425400634385829487172160490
Fri Dec 11 16:09:09 2020  A1: 31896604899713200651362935483
Fri Dec 11 16:09:09 2020  A2: -147714019658582402969862
Fri Dec 11 16:09:09 2020  A3: -1411257103850466131
Fri Dec 11 16:09:09 2020  A4: 1214449257840
Fri Dec 11 16:09:09 2020  A5: 2203200
Fri Dec 11 16:09:09 2020  skew 1.00, size 4.749e-14, alpha -7.528, combined = 2.419e-13 rroots = 5
Fri Dec 11 16:09:09 2020  
Fri Dec 11 16:09:09 2020  commencing square root phase
Fri Dec 11 16:09:09 2020  reading relations for dependency 1
Fri Dec 11 16:09:09 2020  read 1059541 cycles
Fri Dec 11 16:09:11 2020  cycles contain 3844754 unique relations
Fri Dec 11 16:09:32 2020  read 3844754 relations
Fri Dec 11 16:09:50 2020  multiplying 3844754 relations
Fri Dec 11 16:13:59 2020  multiply complete, coefficients have about 207.86 million bits
Fri Dec 11 16:14:00 2020  initial square root is modulo 28806263
Fri Dec 11 16:19:10 2020  GCD is N, no factor found
Fri Dec 11 16:19:10 2020  reading relations for dependency 2
Fri Dec 11 16:19:10 2020  read 1059674 cycles
Fri Dec 11 16:19:12 2020  cycles contain 3847814 unique relations
Fri Dec 11 16:19:35 2020  read 3847814 relations
Fri Dec 11 16:19:52 2020  multiplying 3847814 relations
Fri Dec 11 16:24:01 2020  multiply complete, coefficients have about 208.03 million bits
Fri Dec 11 16:24:02 2020  initial square root is modulo 29208469
Fri Dec 11 16:29:09 2020  GCD is N, no factor found
Fri Dec 11 16:29:09 2020  reading relations for dependency 3
Fri Dec 11 16:29:09 2020  read 1058968 cycles
Fri Dec 11 16:29:11 2020  cycles contain 3844534 unique relations
Fri Dec 11 16:29:34 2020  read 3844534 relations
Fri Dec 11 16:29:51 2020  multiplying 3844534 relations
Fri Dec 11 16:34:00 2020  multiply complete, coefficients have about 207.85 million bits
Fri Dec 11 16:34:01 2020  initial square root is modulo 28796611
Fri Dec 11 16:39:08 2020  sqrtTime: 1799
Fri Dec 11 16:39:08 2020  p56 factor: 33271715455831229540248894606148999085525542954742752393
Fri Dec 11 16:39:08 2020  p91 factor: 1486058994100328500005354007100808815947859533844298874157432987726491207861210492251447911
Fri Dec 11 16:39:08 2020  elapsed time 00:30:01

CADO-NFS/Msieve

24273745203977762117297001017931250489390024273745203977762117297001017931250489390024273745203977762117297001017931250489390024273745203977762117297001017931250489390024273745203977762117297001017931250489390024273745203977762117297<233>

59652191910761948746577138445144936838563468959646004612659384058119989197347643826384763494678873953002784780283661819559584251698845196370466592245865348018104230111421799343191975607437083380441320535543281<209>

313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313<237>

9871711377500135025192967484299<31>

31720063640131363666929428874653469320629137226283070874119359657621195323238410906349521564754850735176808366676520806915082585985357538241765277004756538097239828132657316286265276722709326311492888612787<206>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=279323885
Step 1 took 7428ms
********** Factor found in step 1: 9871711377500135025192967484299
Found probable prime factor of 31 digits: 9871711377500135025192967484299
Composite cofactor 317200636401... has 206 digits

31720063640131363666929428874653469320629137226283070874119359657621195323238410906349521564754850735176808366676520806915082585985357538241765277004756538097239828132657316286265276722709326311492888612787<206>

111661912385413396541106605782116469951<39>
284072365970645999996081779035595784626171447162041188430944159050660127802944237425069107227062516475699950096337389724074933037062488313692697517481967506120564954637<168>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2809493450
Step 1 took 100696ms
Step 2 took 33495ms
********** Factor found in step 2: 111661912385413396541106605782116469951
Found probable prime factor of 39 digits: 111661912385413396541106605782116469951

10124069283904983596844311784532103311011839915520606535535532549508823464867749299763367525761734214432271873267714287348385144223436002179312248746316734145226257037214065206203879076342605467183715778487801552143067069935922903<230>

3284709043651664023005678308311267505644931429049754865342822963718799237523668447826635175843190109423194496099143114773031903001482357403893121925220949662363697819482986796529228082778906234271806494611487793067568584195039665510661<235>

6832873694279499285806423253406796384602891518777044723692757189722772797117617763118064190603530192725810211771208161474527920426051536525137209934531243628896972643382356000930341874051098531618949663990923581044415933424493187<229>

1404806250028322706653796828763181387676677044106384617824725496327111401135627245990637646088520920284042760489597636300193500731858739934110055240607057565334819708978524590906825092558605344608036398076774927380580139664931051202921997<238>

7838313387489391500010019968455208193288499180292381727159169509092350444690465741441464147921342694701115942011014396566866119094751911108772762222560797500292551219009162733425751642533348919281611315363249989910479103<220>

768885533348083784074438866477708467239907636858461832102803738516175077314259717099598183876465210656414282497191759956903306217255390679479515759447110734420890926232745704774317168929941416877<195>

4559467016518003703222362987110681850289<40>
4055882320963952304655179833199414985109309<43>
41577872740205340382622803263151639402294590183372798906324936301053387489518652193117869543759530429232167803777<113>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2208288334
Step 1 took 406359ms
Step 2 took 100630ms
********** Factor found in step 2: 4559467016518003703222362987110681850289
Found probable prime factor of 40 digits: 4559467016518003703222362987110681850289

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=696224363
Step 1 took 294012ms
Step 2 took 79791ms
********** Factor found in step 2: 4055882320963952304655179833199414985109309
Found probable prime factor of 43 digits: 4055882320963952304655179833199414985109309

3444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443<247>

365425448193609571817460156260302354795067337023<48>
9425847218553619178824897970899404381287108639854964269307204578535941676858327842120181298608717846060098790324871295832517170647796575186858635375299375196935658077143466605213177503635030710005541<199>

GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
Input number is 3444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443 (247 digits)
[Sat Feb 23 18:46:31 2013]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=1362773174
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35    40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+007        3.6e+008
Step 1 took 536315ms
********** Factor found in step 1: 365425448193609571817460156260302354795067337023
Found probable prime factor of 48 digits: 365425448193609571817460156260302354795067337023
Probable prime cofactor 9425847218553619178824897970899404381287108639854964269307204578535941676858327842120181298608717846060098790324871295832517170647796575186858635375299375196935658077143466605213177503635030710005541 has 199 digits

GMP-ECM

105806585086871352564186411556669028607454110986273142680336547545017786539953090512752668081052640444292864313035597102637004448940825951082628722844079137702279752374178476197379909557045976983637741378762318502562884621783927915313<234>

6628852426499100587729151095699<31>
15961523696606267865369047342973401569148216432265418841929772556908608132384943207219106790903602206959659244610868405058844696582254769152109543235241952718957638179569482818566951634716405860547260587<203>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1343513565
Step 1 took 7432ms
Step 2 took 3301ms
********** Factor found in step 2: 6628852426499100587729151095699
Found probable prime factor of 31 digits: 6628852426499100587729151095699
Probable prime cofactor 159615236966... has 203 digits

98722071440830016252011902334984575393120426299853720118211119890550046268658933802685895452697467680568565105606596589647376856157636446617138426166868565907517118281286113821686237621<185>

2008506238692476530256295909180211<34>

49151986455913321995774948686938527869355687753779400719735398607026211976525816050548658636963644112090429486798816924128806972531898230180535796072311<152>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=156388063
Step 1 took 13885ms
Step 2 took 10152ms
********** Factor found in step 2: 2008506238692476530256295909180211
Found probable prime factor of 34 digits: 2008506238692476530256295909180211
Composite cofactor (608629375042.../6165079056381661411042381)/2008506238692476530256295909180211 has 152 digits

1927224558116350028227805190065485589487246628367027051365110577116420809768689479732940208281710068823533844057596335235870272874460810191333818614489748723183278331584994395889982426537330665578959423009550629493176923651<223>

1006969918619469841302741943722955663111<40>
1913884935866332434704350119364520198648538596749799939873730806474991084194274310418376094483456853547373907622155680212632178808504855136747005162265537608459916352126404753544175141<184>

Run 2 out of 610:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3431559695
Step 1 took 83541ms
Step 2 took 24636ms
********** Factor found in step 2: 1006969918619469841302741943722955663111
Found probable prime factor of 40 digits: 1006969918619469841302741943722955663111
Probable prime cofactor 1913884935866332434704350119364520198648538596749799939873730806474991084194274310418376094483456853547373907622155680212632178808504855136747005162265537608459916352126404753544175141 has 184 digits

GMP-ECM 6.4.4

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

6595381436132420416185326710864856283696977363358125730964451851632015580302671029244747605955103799031452211748797528322519486557189143362085191083099573152809262921297577769380223617888687310353379408648695772769735454983603529<229>

446104036738348144788277027422175559043107<42>

14784402051938361277979205633439186183019212133688519683736741417531890567029411691260055046088473972292550301104044132435815867165949132756162273823776008050246637296691601614128246832547<188>

Run 266 out of 610:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3845787093
Step 1 took 84328ms
Step 2 took 24785ms
********** Factor found in step 2: 446104036738348144788277027422175559043107
Found probable prime factor of 42 digits: 446104036738348144788277027422175559043107
Composite cofactor 14784402051938361277979205633439186183019212133688519683736741417531890567029411691260055046088473972292550301104044132435815867165949132756162273823776008050246637296691601614128246832547 has 188 digits

GMP-ECM 6.4.4

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

2166894081047125712920638517898780287356861067900639367143714542802408296958086066192590350243997652316213986769173872700368863941644237228166023521004893288392098280011166044343528915779015509494266931701942192819737092218828515893259002513858769<247>

1141907963698922645566918608030842005838840635726095752688431675570657177868251514099051063799801373581934948236520037101400126874815344733781452643885109191946915837172750220020800479766368872172387701078066836307777038963325264574826095981438381823<250>

2192949878362022069564614560762750411885505379447532259353815485197234619463066833330857422180343953577373284635697969965075504679118377556643541656497745859745999811830752372807138547036298979712384012405022279663360971575832560495352007362652365803847<253>

4105416501125678718050589325917097073235333068467752615547609588134021983843199576215070851542842007681101840815785988610780029135213878956429611971924248443914713283008872996954045821745464176930207919480863461793139981459409349754999337836048205535690637<256>

477353398153637681541460004463080434853804839965872468298693767809519761722505346018534465638358275306275384138856716449983723137260890724027584980496639559688110364580489660115332179536647967447<195>

173954408010948287680590549213206245202630439961013203874025580249589029313914052838091797459820611522017248813109694448490351883948810489221875332416738617499654048899846810565400629<183>

973096256944538541368900919750470936392696489<45>
178763823999440982445452590197887633504631181949879195296086405346616659439371871179763040180768835575583021530258387200305501860299353261<138>

Input number is 173954408010948287680590549213206245202630439961013203874025580249589029313914052838091797459820611522017248813109694448490351883948810489221875332416738617499654048899846810565400629 (183 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3355536314
Step 1 took 14664ms
Step 2 took 6490ms
********** Factor found in step 2: 973096256944538541368900919750470936392696489
Found probable prime factor of 45 digits: 973096256944538541368900919750470936392696489
Probable prime cofactor 178763823999440982445452590197887633504631181949879195296086405346616659439371871179763040180768835575583021530258387200305501860299353261 has 138 digits

GMP-ECM 6.4.4

4156616239951757369037655409111793517360789270433252160983153298431590941091499904861966318058129083772386754345230676508951299359981717318159113498759116899866107390095313962196129039372565204976157980234965375244524701136314668270299080651514674136309<253>

181000759035441116365971857301337070123197290827348630816838909324458457406434285047001810007590354411163659718573013370701231972908273486308168389093244584574064342850470018100075903544111636597185730133707012319729082734863081683890932445845740643428504700181<261>

113252869335711396110680771208620294684703<42>
1598200205408545492511030942629436999575647202957838078664283146147885678660801398817054354478569557340154232254377377426138585285993949647941824591366174334466679886735466562333659406224816705298067008553716334095844427<220>

Run 286 out of 610:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1855136501
Step 1 took 107126ms
Step 2 took 29293ms
********** Factor found in step 2: 113252869335711396110680771208620294684703
Found probable prime factor of 42 digits: 113252869335711396110680771208620294684703
Probable prime cofactor 1598200205408545492511030942629436999575647202957838078664283146147885678660801398817054354478569557340154232254377377426138585285993949647941824591366174334466679886735466562333659406224816705298067008553716334095844427 has 220 digits

GMP-ECM 6.4.4

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

887833748667738053191345064771574736580985017580813983211900367505263381513255516838235890931430337118490001919223376762956151652135136938255491332406533732443401792786631120110734783213981184359724710325310902255962733423879572452054129169970596073<249>

491626801970801547142930422914584599458249<42>

1805909981125210969761857993737605202638362438919511136862930020212024487235944032729986278880261453966732588561832988772160012794484304240050961972832898252917518204702395326949811064660948588344463299014177<208>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1235930025
Step 1 took 43303ms
Step 2 took 16553ms
********** Factor found in step 2: 491626801970801547142930422914584599458249
Found prime factor of 42 digits: 491626801970801547142930422914584599458249
Composite cofactor

191636060056005817746691384296448220535262077497596203466648325291440057652916156951428107479067850495121709424432131412820950703279917617312223315419768476813156355993882333245271939755441823<192>

440862558841213442401751962067889120462814699<45>
434684361855795178123902097406156732000050547763123192966171953230985256360029518060810534760193634943923233974676905346429267066898873228944290077<147>

Run 189 out of 320:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2661439411
Step 1 took 61344ms
Step 2 took 20118ms
********** Factor found in step 2: 440862558841213442401751962067889120462814699
Found probable prime factor of 45 digits: 440862558841213442401751962067889120462814699
Probable prime cofactor 434684361855795178123902097406156732000050547763123192966171953230985256360029518060810534760193634943923233974676905346429267066898873228944290077 has 147 digits

GMP-ECM 6.4.4

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

324346386771063305673502974940394383162121250530289988975437499182503561356784452455307198673746015213098769968605793487224825469131927609943780879515717119246751547621570943741924479632436440575166101209883164619428915803001582901806426611433691<246>

7393107617167265354760729407846789389651729385323997016014511824186227585579685897123610229111322157679346379506513729795736867245858633889741039026151673205401841597751344172120854882306072234048587527933294790341715373<220>

1514035322356359023252000576513991829<37>

4883048306733722972997300111598219596987464153603329890840753726783197691161406801431514928015150894770382295582482947716264412054798334044341493361789519736160840376654477210898161337<184>

Input number is 7393107617167265354760729407846789389651729385323997016014511824186227585579685897123610229111322157679346379506513729795736867245858633889741039026151673205401841597751344172120854882306072234048587527933294790341715373 (220 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=274844791
Step 1 took 6505ms
********** Factor found in step 1: 1514035322356359023252000576513991829
Found probable prime factor of 37 digits: 1514035322356359023252000576513991829
Composite cofactor 4883048306733722972997300111598219596987464153603329890840753726783197691161406801431514928015150894770382295582482947716264412054798334044341493361789519736160840376654477210898161337 has 184 digits

GMP-ECM 6.4.4

4883048306733722972997300111598219596987464153603329890840753726783197691161406801431514928015150894770382295582482947716264412054798334044341493361789519736160840376654477210898161337<184>

989264308163291482585553425113321182699087286257<48>
4936040112272714952698492488794503421376996020752946213547587154639094022689928685133262576763386469819780140779482608244183437480346441<136>

Resuming ECM residue saved by @795a82c11cfb with GMP-ECM 7.0.5-dev on Wed Apr 17 12:06:12 2024 
Input number is 4883048306733722972997300111598219596987464153603329890840753726783197691161406801431514928015150894770382295582482947716264412054798334044341493361789519736160840376654477210898161337 (184 digits)
Using B1=43000000-43000000, B2=240490660426, polynomial Dickson(12), sigma=3:2714508165
Step 1 took 0ms
Step 2 took 25527ms
********** Factor found in step 2: 989264308163291482585553425113321182699087286257
Found prime factor of 48 digits: 989264308163291482585553425113321182699087286257
Prime cofactor 4936040112272714952698492488794503421376996020752946213547587154639094022689928685133262576763386469819780140779482608244183437480346441 has 136 digits

4333823798550078074209533204651087882017545053603237152337709444145344906326295441010920954900747053870425313475295858492681537210534187576377064789192161157095374428289530713799295888614082921142645700214892113<211>

5728952911998752596809985895220783349<37>

756477468940841192694631770054915115684338418869266926028738701272767964593214593188107807843660064174223916148939189632825080638958373343790175424583700411779957105466121837<174>

GMP-ECM 6.4.4 [configured with GMP 6.0.0] [ECM]
Input number is 4333823798550078074209533204651087882017545053603237152337709444145344906326295441010920954900747053870425313475295858492681537210534187576377064789192161157095374428289530713799295888614082921142645700214892113 (211 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1655793193
Step 1 took 5585ms
Step 2 took 3026ms
********** Factor found in step 2: 5728952911998752596809985895220783349
Found probable prime factor of 37 digits: 5728952911998752596809985895220783349
Composite cofactor 756477468940841192694631770054915115684338418869266926028738701272767964593214593188107807843660064174223916148939189632825080638958373343790175424583700411779957105466121837 has 174 digits

756477468940841192694631770054915115684338418869266926028738701272767964593214593188107807843660064174223916148939189632825080638958373343790175424583700411779957105466121837<174>

3220499366404223848964966680640241567805103<43>
234894462899854285765661008317734050075196470183405750834180421278062569095933606476832481343412063971686505109852462805242250242979<132>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3039469215
Step 1 took 91721ms
Step 2 took 28292ms
********** Factor found in step 2: 3220499366404223848964966680640241567805103
Found probable prime factor of 43 digits: 3220499366404223848964966680640241567805103

908922055586123473508728845015412756806931289609640610087955982009319010062393767270801354777568854650601267384669773175072000657207093275584184655816014771390636159619537638462156078687907591217196013871072673068130717471902981147989149549<240>

143827426573279711685583666131267903760395826750995278528266535428776629708131463876327525655157843651250603151996452028107095485736281363238080642029952784808765839860555911544941607560202446997<195>

4581832173723303281439382175212074721370174242543281182105486747992250471960411116302263665236712308128715453656884975456141427156039440136565158626371152259425227088637315306771391612212754671005968853<202>

184030574469080272605536798628012521610439657823591362946971150837161926689375145146369060221576659388306130120409782298374127820595215555589990738814411706864056571714183364175620445208201249818842495871614535635474388588279346670828685239<240>