6994778517554969842395789230498133434609117309353844380649105034970307763784602289934718310510036879660349374148178058000442508521116536194071841<145>

2709042073446592170792934274741551206028921382492321254041066670097<67>
2582011769442852651209968987523621441279428819480352551729492154606092853851153<79>

Number: trial
N=6994778517554969842395789230498133434609117309353844380649105034970307763784602289934718310510036879660349374148178058000442508521116536194071841
  ( 145 digits)
SNFS difficulty: 154 digits.
Divisors found:
 r1=2709042073446592170792934274741551206028921382492321254041066670097 (pp67)
 r2=2582011769442852651209968987523621441279428819480352551729492154606092853851153 (pp79)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 62.87 hours.
Scaled time: 32.76 units (timescale=0.521).
Factorization parameters were as follows:
n: 6994778517554969842395789230498133434609117309353844380649105034970307763784602289934718310510036879660349374148178058000442508521116536194071841
m: 2000000000000000000000000000000
c5: 325
c0: -14
skew: 1
type: snfsFactor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1200000, 2400001)
Primes: RFBsize:176302, AFBsize:176488, largePrimes:5582957 encountered
Relations: rels:5444690, finalFF:406954
Max relations in full relation-set: 0
Initial matrix: 352856 x 406954 with sparse part having weight 35869280.
Pruned matrix : 334041 x 335869 with weight 26580813.
Total sieving time: 51.60 hours.
Total relation processing time: 0.49 hours.
Matrix solve time: 10.36 hours.
Time per square root: 0.42 hours.
Prototype def-par.txt line would be:
snfs,154,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 62.87 hours.
 --------- CPU info (if available) ----------

GGNFS-0.77.1-20060722-pentium4

Pentium 4 3.20 GHz, 1 Gig RAM, Windows XP and Cygwin

26364809460897299259653125087975172032777393582242597341147785718166934780842624212004109229722134427960631940677808720415122325641908370536387633<146>

43392867949703635301629857402687959159726060863<47>
607583935024911523260847922586741220802757668680390878600315487487290409913946585708438696721115791<99>

Number: n
N=26364809460897299259653125087975172032777393582242597341147785718166934780842624212004109229722134427960631940677808720415122325641908370536387633
  ( 146 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=43392867949703635301629857402687959159726060863 (pp47)
 r2=607583935024911523260847922586741220802757668680390878600315487487290409913946585708438696721115791 (pp99)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 36.15 hours.
Scaled time: 47.79 units (timescale=1.322).
Factorization parameters were as follows:
name: KA_5_7_156
n: 26364809460897299259653125087975172032777393582242597341147785718166934780842624212004109229722134427960631940677808720415122325641908370536387633
skew: 0.84
deg: 5
c5: 65
c0: -28
m: 20000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1500001)
Primes: RFBsize:216816, AFBsize:217161, largePrimes:7027687 encountered
Relations: rels:6501938, finalFF:500738
Max relations in full relation-set: 48
Initial matrix: 434044 x 500738 with sparse part having weight 41292245.
Pruned matrix : 382040 x 384274 with weight 25445788.
Total sieving time: 31.64 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 4.23 hours.
Total square root time: 0.08 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 36.15 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

2441505891532717595222421523167960460997180306913825571010358957513150181867983231904207917169754437950011734144951653882157895269459<133>

303583120466432755281692462570253330795169293513976483517<57>
8042297897793284514496513202115956001841463193178478887769004032896132968527<76>

Number: n
N=2441505891532717595222421523167960460997180306913825571010358957513150181867983231904207917169754437950011734144951653882157895269459
  ( 133 digits)
SNFS difficulty: 162 digits.
Divisors found:

Tue Jan  8 23:59:06 2008  prp57 factor: 303583120466432755281692462570253330795169293513976483517
Tue Jan  8 23:59:06 2008  prp76 factor: 8042297897793284514496513202115956001841463193178478887769004032896132968527
Tue Jan  8 23:59:06 2008  elapsed time 00:57:39 (Msieve 1.32)

Version: GGNFS-0.77.1-20050930-k8
Total time: 43.17 hours.
Scaled time: 36.18 units (timescale=0.838).
Factorization parameters were as follows:
name: KA_5_7_161
n: 2441505891532717595222421523167960460997180306913825571010358957513150181867983231904207917169754437950011734144951653882157895269459
type: snfs
deg: 5
c5: 520
c0: -7
skew: 0.42
m: 100000000000000000000000000000000
rlim: 3000000
alim: 3000000
lbpr: 28
lbpa: 28
mbpr: 48
mbpa: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved  special-q in [100000, 4000001)
Primes: RFBsize:216816, AFBsize:217161, largePrimes:5742071 encountered
Relations: rels:5648051, finalFF:422567
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 43.05 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.5,2.5,100000
total time: 43.17 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM)
Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888)
Calibrating delay loop... 6045.69 BogoMIPS (lpj=3022848)
Total of 2 processors activated (12009.47 BogoMIPS).

155518470258421826244235349225767757256402766541709085199413476746564889103129309843911986286984687144113082494405401533796250851336505171<138>

1221459109676013540068392985396141510503<40>

127321880058410134937874685456288398513745339782992258022290739921523427135877001437678981240885557<99>

Input number is 155518470258421826244235349225767757256402766541709085199413476746564889103129309843911986286984687144113082494405401533796250851336505171 (138 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=399357264
Step 1 took 313777ms
Step 2 took 103343ms
********** Factor found in step 2: 1221459109676013540068392985396141510503
Found probable prime factor of 40 digits: 1221459109676013540068392985396141510503
Composite cofactor 127321880058410134937874685456288398513745339782992258022290739921523427135877001437678981240885557 has 99 digits

GMP-ECM 6.1

127321880058410134937874685456288398513745339782992258022290739921523427135877001437678981240885557<99>

8438134055835129687391374189732897448405262542547<49>
15088866711043141207643579503789954343073186607831<50>

Number: N
N=127321880058410134937874685456288398513745339782992258022290739921523427135877001437678981240885557
  ( 99 digits)
Divisors found:
 r1=8438134055835129687391374189732897448405262542547 (pp49)
 r2=15088866711043141207643579503789954343073186607831 (pp50)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 10.37 hours.
Scaled time: 12.47 units (timescale=1.202).
Factorization parameters were as follows:
name: N
n: 127321880058410134937874685456288398513745339782992258022290739921523427135877001437678981240885557
skew: 9643.08
# norm 6.38e+13
c5: 21120
c4: 311152786
c3: -7904505190150
c2: -20055983778161829
c1: 316396256294438203240
c0: 657038077305820350429725
# alpha -5.88
Y1: 6126630781
Y0: -5702173808368634646
# Murphy_E 3.90e-09
# M 48616991791541821940847763123385691274109460482888757071970272973892514502053664826490013542985493
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 25000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1325001)
Primes: RFBsize:135072, AFBsize:134685, largePrimes:3786279 encountered
Relations: rels:3726881, finalFF:343538
Max relations in full relation-set: 28
Initial matrix: 269840 x 343538 with sparse part having weight 23488350.
Pruned matrix : 210003 x 211416 with weight 11580736.
Total sieving time: 9.46 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 0.60 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
gnfs,98,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 10.37 hours.
 --------- CPU info (if available) ----------

14433812737122645008158808582414618883621083660320893455140460727348911203462095138571633153475598110179793940502698211713480374803939<134>

6420478316845888866764229697079609081<37>
2248089943587469434480299083386367776545352478097162371514379969035559192349878360635205285279419<97>

GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 14433812737122645008158808582414618883621083660320893455140460727348911203462095138571633153475598110179793940502698211713480374803939 (134 digits)
Using B1=2948000, B2=3917803972, polynomial Dickson(6), sigma=3616249863
Step 1 took 26866ms
Step 2 took 13580ms
********** Factor found in step 2: 6420478316845888866764229697079609081
Found probable prime factor of 37 digits: 6420478316845888866764229697079609081
Probable prime cofactor 2248089943587469434480299083386367776545352478097162371514379969035559192349878360635205285279419 has 97 digits

449065409434546449622971187681183740755523201415900451788832840460807324862141335905611317885561982939064087542226259352648468932390312211175057221<147>

1253831070899856312688601931720582966577047750139261<52>
358154634908081150423440098044503617839531497495445248785010282856127665013429077944232929344361<96>

Number: n
N=449065409434546449622971187681183740755523201415900451788832840460807324862141335905611317885561982939064087542226259352648468932390312211175057221
  ( 147 digits)
SNFS difficulty: 166 digits.
Divisors found:

Mon Nov 26 16:37:58 2007  prp52 factor: 1253831070899856312688601931720582966577047750139261
Mon Nov 26 16:37:58 2007  prp96 factor: 358154634908081150423440098044503617839531497495445248785010282856127665013429077944232929344361
Mon Nov 26 16:37:58 2007  elapsed time 02:02:22 (Msieve 1.30)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 108.78 hours.
Scaled time: 140.77 units (timescale=1.294).
Factorization parameters were as follows:
name: KA_5_7_164
n: 449065409434546449622971187681183740755523201415900451788832840460807324862141335905611317885561982939064087542226259352648468932390312211175057221
skew: 1.06
deg: 5
c5: 26
c0: -35
m: 1000000000000000000000000000000000
type: snfs
rlim: 3200000
alim: 3200000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 3600001)
Primes: RFBsize:230209, AFBsize:230477, largePrimes:7720364 encountered
Relations: rels:7181991, finalFF:477241
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 108.43 hours.
Total relation processing time: 0.36 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,3200000,3200000,28,28,48,48,2.5,2.5,100000
total time: 108.78 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

30935397224899588137032400403776143825219089737083473114490349480239274430387787920586369380476002430395991417734593542513905288852266803937907<143>

194347402850767085232324193773663394853<39>
159175768603678496522767736976312094223274142566031220136596573878529488740968790595578468802481799156919<105>

Number: n
N=30935397224899588137032400403776143825219089737083473114490349480239274430387787920586369380476002430395991417734593542513905288852266803937907
  ( 143 digits)
SNFS difficulty: 168 digits.
Divisors found:

Sat Jun 07 21:27:14 2008  prp39 factor: 194347402850767085232324193773663394853
Sat Jun 07 21:27:14 2008  prp105 factor: 159175768603678496522767736976312094223274142566031220136596573878529488740968790595578468802481799156919
Sat Jun 07 21:27:14 2008  elapsed time 02:26:22 (Msieve 1.36)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 117.71 hours.
Scaled time: 154.31 units (timescale=1.311).
Factorization parameters were as follows:
name: KA_5_7_166
n: 30935397224899588137032400403776143825219089737083473114490349480239274430387787920586369380476002430395991417734593542513905288852266803937907
skew: 0.84
deg: 5
c5: 65
c0: -28
m: 2000000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 4300573)
Primes: RFBsize:216816, AFBsize:217161, largePrimes:7714153 encountered
Relations: rels:7106257, finalFF:456914
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 117.23 hours.
Total relation processing time: 0.48 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 117.71 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

647521509972609978778474895181437790066412069595365135629283038763004668109673455943367523705566963333241654425358525680208523021452673454499<141>

134423132005673053281516895507169533951<39>
92767036161728595441434580385004989605003143823259<50>
51926195999481557111023152924214215900076403618583911<53>

GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 647521509972609978778474895181437790066412069595365135629283038763004668109673455943367523705566963333241654425358525680208523021452673454499 (141 digits)
Using B1=4860000, B2=11416155670, polynomial Dickson(12), sigma=3081001015
Step 1 took 51375ms
Step 2 took 24656ms
********** Factor found in step 2: 134423132005673053281516895507169533951
Found probable prime factor of 39 digits: 134423132005673053281516895507169533951
Composite cofactor 4817039302024912335467132326152784905075738362859412701896443731750706099437308147192818330864044985949 has 103 digits


Number: n
N=4817039302024912335467132326152784905075738362859412701896443731750706099437308147192818330864044985949
  ( 103 digits)
Divisors found:
 r1=92767036161728595441434580385004989605003143823259 (pp50)
 r2=51926195999481557111023152924214215900076403618583911 (pp53)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 6.65 hours.
Scaled time: 12.17 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_5_7_167
n: 4817039302024912335467132326152784905075738362859412701896443731750706099437308147192818330864044985949
skew: 3985.52
# norm 3.59e+13
c5: 93600
c4: -601932860
c3: -2428712294883
c2: 21750733387237273
c1: 13248076622685588363
c0: -19810988854558364477813
# alpha -4.55
Y1: 81379529627
Y0: -34857976460207414076
# Murphy_E 2.31e-09
# M 4281574460791113755516230351221977994129597477696987288901441868558155807652878845341700823494448725006
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [100000, 1000001)
Primes: RFBsize:169511, AFBsize:169363, largePrimes:4077544 encountered
Relations: rels:4035675, finalFF:430083
Max relations in full relation-set: 48
Initial matrix: 338952 x 430083 with sparse part having weight 26429719.
Pruned matrix : 252628 x 254386 with weight 10673012.
Total sieving time: 6.20 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.28 hours.
Total square root time: 0.06 hours, sqrts: 1.
Prototype def-par.txt line would be:
gnfs,102,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 6.65 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

587454862990331204679340078964552962269954511449433145032585048015227824203092906924250259883817922025511831629019452313797736511559038665815896458549823159705287<162>

20752002809996857119171828649866996717199970697800523504969822088337<68>
28308345385696301109711060065796518182592934915052319190743442789270172132944796227018696827351<95>

Number: n
N=587454862990331204679340078964552962269954511449433145032585048015227824203092906924250259883817922025511831629019452313797736511559038665815896458549823159705287
  ( 162 digits)
SNFS difficulty: 171 digits.
Divisors found:

Tue May 20 09:17:49 2008  prp68 factor: 20752002809996857119171828649866996717199970697800523504969822088337
Tue May 20 09:17:49 2008  prp95 factor: 28308345385696301109711060065796518182592934915052319190743442789270172132944796227018696827351
Tue May 20 09:17:49 2008  elapsed time 01:32:25 (Msieve 1.35)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 84.28 hours.
Scaled time: 154.14 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_5_7_168
n: 587454862990331204679340078964552962269954511449433145032585048015227824203092906924250259883817922025511831629019452313797736511559038665815896458549823159705287
skew: 1.68
deg: 5
c5: 13
c0: -175
m: 10000000000000000000000000000000000
type: snfs
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 5601451)
Primes: RFBsize:250150, AFBsize:250051, largePrimes:8242669 encountered
Relations: rels:7702797, finalFF:542216
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 83.96 hours.
Total relation processing time: 0.32 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000
total time: 84.28 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

350541147771494609491011242354777867405296059250495473592326054158821399535045616100799756842524277369580042636792251617397763429972324635079187691723<150>

22440932013872133921645504836737591772839461986141299394467185251929<68>
15620614489398361590137207913320714870296064367180578091040472815622493531339189187<83>

Number: n
N=350541147771494609491011242354777867405296059250495473592326054158821399535045616100799756842524277369580042636792251617397763429972324635079187691723
  ( 150 digits)
SNFS difficulty: 171 digits.
Divisors found:

Thu May 21 12:16:22 2009  prp68 factor: 22440932013872133921645504836737591772839461986141299394467185251929
Thu May 21 12:16:22 2009  prp83 factor: 15620614489398361590137207913320714870296064367180578091040472815622493531339189187
Thu May 21 12:16:22 2009  elapsed time 01:12:26 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 61.66 hours.
Scaled time: 164.02 units (timescale=2.660).
Factorization parameters were as follows:
name: KA_5_7_170
n: 350541147771494609491011242354777867405296059250495473592326054158821399535045616100799756842524277369580042636792251617397763429972324635079187691723
m: 10000000000000000000000000000000000
deg: 5
c5: 52
c0: -7
skew: 0.67
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [2550000, 6067799)
Primes: RFBsize:354971, AFBsize:354331, largePrimes:18240831 encountered
Relations: rels:18861558, finalFF:753290
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2437626 hash collisions in 20937000 relations
Msieve: matrix is 812926 x 813174 (214.4 MB)

Total sieving time: 60.69 hours.
Total relation processing time: 0.97 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5100000,5100000,28,28,56,56,2.4,2.4,100000
total time: 61.66 hours.
 --------- CPU info (if available) ----------

2959657226895348486983068529357280561791280143455803222127889917932424116381080897985883660911699420346378168816946684119097523441838243885561586972205645896069<160>

39592814745574705902699945898782321093833965047403<50>
74752382368221238007239043624856816631832755356506250342177409326733359592982167470607142927525246902943388623<110>

Number: 57777_171
N=2959657226895348486983068529357280561791280143455803222127889917932424116381080897985883660911699420346378168816946684119097523441838243885561586972205645896069
  ( 160 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=39592814745574705902699945898782321093833965047403 (pp50)
 r2=74752382368221238007239043624856816631832755356506250342177409326733359592982167470607142927525246902943388623 (pp110)
Version: Msieve-1.40
Total time: 63.82 hours.
Scaled time: 111.30 units (timescale=1.744).
Factorization parameters were as follows:
n: 2959657226895348486983068529357280561791280143455803222127889917932424116381080897985883660911699420346378168816946684119097523441838243885561586972205645896069
m: 20000000000000000000000000000000000
deg: 5
c5: 65
c0: -28
skew: 0.84
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2700000, 6000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1032105 x 1032337
Total sieving time: 62.09 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.38 hours.
Time per square root: 0.25 hours.
Prototype def-par.txt line would be:
snfs,173.000,5,0,0,0,0,0,0,0,0,5400000,5400000,27,27,52,52,2.4,2.4,100000
total time: 63.82 hours.

GGNFS, Msieve

61469059465087668470939247882576997065456565404948308494608322113851253193824470625919487079875077573809848138535057425899<122>

14367225085697915795287524745117<32>
4278422527553913505771834755528035916005882974401794090104527392050825146837825931010046247<91>

Input number is 61469059465087668470939247882576997065456565404948308494608322113851253193824470625919487079875077573809848138535057425899 (122 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1362951834
Step 1 took 246713ms
Step 2 took 88064ms
********** Factor found in step 2: 14367225085697915795287524745117
Found probable prime factor of 32 digits: 14367225085697915795287524745117
Probable prime cofactor 4278422527553913505771834755528035916005882974401794090104527392050825146837825931010046247 has 91 digits

GMP-ECM 6.1

477439031312509754573530419733255617960405244786931679825744920245809298559530932552309730724951202453204167285919162105825767103585683696459658563071433887784201<162>

159530726244997224086241928713095827099743755503374136154174507<63>
2992771628076769445471332270509364770715107492621536451912162290811012305884588332131862245256697243<100>

Number: 4
N=477439031312509754573530419733255617960405244786931679825744920245809298559530932552309730724951202453204167285919162105825767103585683696459658563071433887784201
  ( 162 digits)
SNFS difficulty: 174 digits.
Divisors found:
 r1=159530726244997224086241928713095827099743755503374136154174507 (pp63)
 r2=2992771628076769445471332270509364770715107492621536451912162290811012305884588332131862245256697243 (pp100)
Version: Msieve-1.40
Total time: 80.73 hours.
Scaled time: 140.39 units (timescale=1.739).
Factorization parameters were as follows:
n: 477439031312509754573530419733255617960405244786931679825744920245809298559530932552309730724951202453204167285919162105825767103585683696459658563071433887784201
m: 20000000000000000000000000000000000
deg: 5
c5: 1625
c0: -7
skew: 0.34
type: snfs
lss: 1
rlim: 5700000
alim: 5700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor 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, 7050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1132789 x 1133014
Total sieving time: 78.69 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 1.70 hours.
Time per square root: 0.22 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: 80.73 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

7949141559119771712737890405249661481686821654941480221572556267171284967201167898844335323503228024802280158659013889501571726612928646391068728151807<151>

107924410927665683001385431856290806743357967<45>

73654713431306427074409733299667444457566434315864090073277343599353361668298394489931133898094003519253521<107>

GMP-ECM 6.2.1 [powered by GMP 4.2.4] [ECM]
Using B1=11000000, B2=96175819756, polynomial Dickson(12), sigma=4191283557
Step 1 took 61895ms
Step 2 took 34491ms
********** Factor found in step 2: 107924410927665683001385431856290806743357967
Found probable prime factor of 45 digits: 107924410927665683001385431856290806743357967
Composite cofactor 73654713431306427074409733299667444457566434315864090073277343599353361668298394489931133898094003519253521 has 107 digits

GMP-ECM 6.2.1

73654713431306427074409733299667444457566434315864090073277343599353361668298394489931133898094003519253521<107>

31288719349461934155851843896696720363661033230725719<53>
2354034136349944678676611987548074368673930574524031959<55>

Number: 57777_175
N=73654713431306427074409733299667444457566434315864090073277343599353361668298394489931133898094003519253521
  ( 107 digits)
Divisors found:
 r1=31288719349461934155851843896696720363661033230725719 (pp53)
 r2=2354034136349944678676611987548074368673930574524031959 (pp55)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 8.93 hours.
Scaled time: 21.32 units (timescale=2.388).
Factorization parameters were as follows:
name: 57777_175
n: 73654713431306427074409733299667444457566434315864090073277343599353361668298394489931133898094003519253521
skew: 17886.39
# norm 2.10e+15
c5: 110160
c4: 5442417444
c3: -149713271052144
c2: -1264206659453831591
c1: 16575436908728770826116
c0: 83199602893546180382049300
# alpha -7.26
Y1: 24471492101
Y0: -231758072512480916699
# Murphy_E 1.55e-09
# M 38194101069741355399707275664143179168743790556414615227357162011118711033618235651356369089463785195133086
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 50/50
Sieved algebraic special-q in [900000, 1400001)
Primes: RFBsize:135072, AFBsize:134855, largePrimes:4986712 encountered
Relations: rels:5028126, finalFF:374807
Max relations in full relation-set: 28
Initial matrix: 270008 x 374807 with sparse part having weight 36527943.
Pruned matrix : 213572 x 214986 with weight 18438358.
Polynomial selection time: 0.55 hours.
Total sieving time: 8.04 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.19 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
gnfs,106,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,50,50,2.6,2.6,50000
total time: 8.93 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047092k/8912896k available (2460k kernel code, 339200k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.60 BogoMIPS (lpj=2673800)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672347)
Calibrating delay using timer specific routine.. 5344.40 BogoMIPS (lpj=2672204)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)

Core 2 Quad Q6700

69070470571035344967148951593200423051140588870807190738856865009650580230420380593226430892742424320218992956103937350590672794088405077311496848464438927<155>

95818687967871033440322599442249452320126352114384055290728749757<65>
720845505567717292374404979719480750653724353208898401998624694306306396853987963374698811<90>

Number: n
N=69070470571035344967148951593200423051140588870807190738856865009650580230420380593226430892742424320218992956103937350590672794088405077311496848464438927
  ( 155 digits)
SNFS difficulty: 177 digits.
Divisors found:

Mon Jan 16 00:10:59 2012  prp65 factor: 95818687967871033440322599442249452320126352114384055290728749757
Mon Jan 16 00:10:59 2012  prp90 factor: 720845505567717292374404979719480750653724353208898401998624694306306396853987963374698811
Mon Jan 16 00:10:59 2012  elapsed time 02:30:30 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.649).
Factorization parameters were as follows:
name: KA_57777_176
n: 69070470571035344967148951593200423051140588870807190738856865009650580230420380593226430892742424320218992956103937350590672794088405077311496848464438927
m: 100000000000000000000000000000000000
deg: 5
c5: 520
c0: -7
skew: 0.42
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 13100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7087086 hash collisions in 75000098 relations
Msieve: matrix is 1031858 x 1032103 (289.1 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.06 BogoMIPS (lpj=2797533)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44760.82 BogoMIPS).

1046559561437662561528732135002306101203786406077470674129639406365392629233852313443819288968279705505392714731162791475763053482711616108659000663178562737278453<163>

215395798882148819500558843402068099950243342416783201<54>
4858774251257680484380004532241818322086034722809326315548514988853886672228043579364724460321602665035608853<109>

N=1046559561437662561528732135002306101203786406077470674129639406365392629233852313443819288968279705505392714731162791475763053482711616108659000663178562737278453
  ( 163 digits)
SNFS difficulty: 179 digits.
Divisors found:
 r1=215395798882148819500558843402068099950243342416783201 (pp54)
 r2=4858774251257680484380004532241818322086034722809326315548514988853886672228043579364724460321602665035608853 (pp109)
Version: Msieve v. 1.46
Total time:
Scaled time: 40.74 units (timescale=1.340).
Factorization parameters were as follows:
n: 1046559561437662561528732135002306101203786406077470674129639406365392629233852313443819288968279705505392714731162791475763053482711616108659000663178562737278453
m: 200000000000000000000000000000000000
deg: 5
c5: 1625
c0: -7
skew: 0.34
type: snfs
lss: 1
rlim: 6900000
alim: 6900000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 6900000/6900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3450000, 9050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1416213 x 1416441
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,179.000,5,0,0,0,0,0,0,0,0,6900000,6900000,28,28,53,53,2.5,2.5,100000
total time:

5777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<181>

1907145664709063958354268537876114943171<40>

3029541940446998167772966488018297475181566383829140811226747765285330708447334102021603405973003072683807287017514072821950182110331738508987<142>

98 rounds of ECM with B1=10^7 produce

prime factor 1907145664709063958354268537876114943171
composite cofactor C142

gmp-ecm 6.1.2

Core2Duo 2.4GHz; Linux (SuSE 10.2)

1013645224171539961013645224171539961013645224171539961013645224171539961013645224171539961013645224171539961013645224171539961013645224171539961013645224171539961013645224171539961<181>

401904412375528539331847398345165066791473496316622080484846488508256710720903033<81>
2522105239353325298748130209401148022385513396941975516899451253080021253195404610505390042856114817<100>

Number: n
N=1013645224171539961013645224171539961013645224171539961013645224171539961013645224171539961013645224171539961013645224171539961013645224171539961013645224171539961013645224171539961
  ( 181 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=401904412375528539331847398345165066791473496316622080484846488508256710720903033 (pp81)
 r2=2522105239353325298748130209401148022385513396941975516899451253080021253195404610505390042856114817 (pp100)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 730.72 hours.
Scaled time: 997.43 units (timescale=1.365).
Factorization parameters were as follows:
name: KA_5_7_181
n: 1013645224171539961013645224171539961013645224171539961013645224171539961013645224171539961013645224171539961013645224171539961013645224171539961013645224171539961013645224171539961
skew: 0.42
deg: 5
c5: 520
c0: -7
m: 1000000000000000000000000000000000000
type: snfs
rlim: 4000000
alim: 4000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 9700001)
Primes: RFBsize:283146, AFBsize:283932, largePrimes:9499562 encountered
Relations: rels:9301430, finalFF:638426
Max relations in full relation-set: 28
Initial matrix: 567145 x 638426 with sparse part having weight 92765702.
Pruned matrix : 539903 x 542802 with weight 78313454.
Total sieving time: 712.95 hours.
Total relation processing time: 0.99 hours.
Matrix solve time: 16.29 hours.
Total square root time: 0.49 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,4000000,4000000,28,28,48,48,2.5,2.5,100000
total time: 730.72 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

546281819335618313560085830412359357006377570455825685443865207891978178505551541061486525456145080233737718243717748382204585389387481605413<141>

6050846949569534546305953413918280462773016205027<49>
90281876882455528420305211263272621722292863319069048786908898396523904541201369347020933719<92>

N=546281819335618313560085830412359357006377570455825685443865207891978178505551541061486525456145080233737718243717748382204585389387481605413
  ( 141 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=6050846949569534546305953413918280462773016205027 (pp49)
 r2=90281876882455528420305211263272621722292863319069048786908898396523904541201369347020933719 (pp92)
Version: Msieve-1.40
Total time: 200.40 hours.
Scaled time: 393.38 units (timescale=1.963).
Factorization parameters were as follows:
n: 546281819335618313560085830412359357006377570455825685443865207891978178505551541061486525456145080233737718243717748382204585389387481605413
m: 1000000000000000000000000000000000000
deg: 5
c5: 5200
c0: -7
skew: 0.27
# Murphy_E = 6.915e-11
type: snfs
lss: 1
rlim: 8100000
alim: 8100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 8100000/8100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [4050000, 7250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1404726 x 1404962
Total sieving time: 197.76 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 2.28 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
snfs,183.000,5,0,0,0,0,0,0,0,0,8100000,8100000,28,28,53,53,2.5,2.5,100000
total time: 200.40 hours.
 --------- CPU info (if available) ----------

6396513724147418986787843057489983083683214893804746716757458044969417452154763989045919149613724615539447232837304925046558464103<130>

32019453541460024164603898999697617082680737<44>
199769609305323282848523939658398769541087148383686097599485662967743152472162214957319<87>

Number: 57777_185
N = 6396513724147418986787843057489983083683214893804746716757458044969417452154763989045919149613724615539447232837304925046558464103 (130 digits)
Divisors found:
r1=32019453541460024164603898999697617082680737 (pp44)
r2=199769609305323282848523939658398769541087148383686097599485662967743152472162214957319 (pp87)
Version: Msieve v. 1.47
Total time: 137.00 hours.
Factorization parameters were as follows:
# Murphy_E = 8.320594e-11, selected by Jeff Gilchrist
n: 6396513724147418986787843057489983083683214893804746716757458044969417452154763989045919149613724615539447232837304925046558464103
Y0: -11159432689589908354333140
Y1: 202690305401291
c0: 31814328079252524875287633120013
c1: 1720246468067542659740603966
c2: -610509175387367684459
c3: -18430617573940936
c4: 3694804856
c5: 36960
skew: 440084.02
type: gnfs
# selected mechanically
rlim: 9700000
alim: 9700000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 9700000/9700000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [4850000, 10050000)
Relations: 17667583
Relations in full relation-set: 2437690 relations
Pruned matrix : 1429901 x 1430130
Polynomial selection time: 0.00 hours.
Total sieving time: 134.66 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 1.94 hours.
time per square root: 0.28 hours.
Prototype def-par.txt line would be: gnfs,129,5,65,2000,1e-05,0.28,250,20,50000,3600,9700000,9700000,28,28,53,53,2.5,2.5,100000
total time: 137.00 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

2276741575742851101299680392312227217461880165454634095437211308558197733063371644661476055184897805704812525506980891797364692535262254699339689325834922914057913092577<169>

84897711645192904013349945705851447515019469857036691947693<59>
26817466944902810451930987766989411538609879910521658014403278148957559018727990517711709477070917264010080389<110>

Sieving took ~12 cpu-days

commencing relation filtering
estimated available RAM is 48157.8 MB
commencing duplicate removal, pass 1
read 10M relations
read 20M relations
read 30M relations
read 40M relations
read 50M relations
skipped 2 relations with b > 2^32
found 19761049 hash collisions in 50078887 relations
commencing duplicate removal, pass 2
found 30533959 duplicates and 19544928 unique relations
memory use: 330.4 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 689.0 MB
reading all ideals from disk
memory use: 633.8 MB
keeping 21513140 ideals with weight <= 200, target excess is 116233
commencing in-memory singleton removal
begin with 19544928 relations and 21513140 unique ideals
reduce to 8170331 relations and 7862570 ideals in 19 passes
max relations containing the same ideal: 109
removing 885197 relations and 798732 ideals in 86465 cliques
commencing in-memory singleton removal
begin with 7285134 relations and 7862570 unique ideals
reduce to 7208679 relations and 6986188 ideals in 10 passes
max relations containing the same ideal: 99
removing 651093 relations and 564628 ideals in 86465 cliques
commencing in-memory singleton removal
begin with 6557586 relations and 6986188 unique ideals
reduce to 6510181 relations and 6373536 ideals in 8 passes
max relations containing the same ideal: 94
relations with 0 large ideals: 2827
relations with 1 large ideals: 602
relations with 2 large ideals: 11643
relations with 3 large ideals: 97336
relations with 4 large ideals: 436973
relations with 5 large ideals: 1140252
relations with 6 large ideals: 1855616
relations with 7+ large ideals: 2964932
commencing 2-way merge
reduce to 3842674 relation sets and 3706029 unique ideals
commencing full merge
memory use: 434.3 MB
found 1965857 cycles, need 1948229
weight of 1948229 cycles is about 136454380 (70.04/cycle)
distribution of cycle lengths:
1 relations: 260618
2 relations: 243561
3 relations: 240680
4 relations: 213588
5 relations: 181908
6 relations: 155472
7 relations: 131292
8 relations: 107775
9 relations: 88349
10+ relations: 324986
heaviest cycle: 24 relations
commencing cycle optimization
start with 10900139 relations
pruned 213485 relations
memory use: 373.6 MB
distribution of cycle lengths:
1 relations: 260618
2 relations: 248423
3 relations: 248038
4 relations: 217158
5 relations: 184963
6 relations: 156205
7 relations: 131193
8 relations: 106706
9 relations: 87240
10+ relations: 307685
heaviest cycle: 24 relations
RelProcTime: 1216
nfs: commencing msieve linear algebra

commencing linear algebra
read 1948229 cycles
cycles contain 6352358 unique relations
read 6352358 relations
using 20 quadratic characters above 268435314
building initial matrix
memory use: 789.1 MB
read 1948229 cycles
matrix is 1948051 x 1948229 (586.4 MB) with weight 172218846 (88.40/col)
sparse part has weight 132284987 (67.90/col)
filtering completed in 2 passes
matrix is 1944357 x 1944535 (586.1 MB) with weight 172101574 (88.51/col)
sparse part has weight 132244236 (68.01/col)
matrix starts at (0, 0)
matrix is 1944357 x 1944535 (586.1 MB) with weight 172101574 (88.51/col)
sparse part has weight 132244236 (68.01/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 1944309 x 1944535 (554.7 MB) with weight 136553305 (70.22/col)
sparse part has weight 125972099 (64.78/col)
using block size 65536 for processor cache size 12288 kB
dump interval = 2000
commencing Lanczos iteration (16 threads)
memory use: 665.7 MB
linear algebra at 0.1%, ETA 3h33m1944535 dimensions (0.1%, ETA 3h33m)    
checkpointing every 570000 dimensions535 dimensions (0.1%, ETA 3h27m)    
linear algebra completed 1944169 of 1944535 dimensions (100.0%, ETA 0h 0m)    
lanczos halted after 30748 iterations (dim = 1944307)
recovered 36 nontrivial dependencies
BLanczosTime: 12385
nfs: commencing msieve sqrt

commencing square root phase
reading relations for dependency 1
read 972135 cycles
cycles contain 3176292 unique relations
read 3176292 relations
multiplying 3176292 relations
multiply complete, coefficients have about 105.32 million bits
initial square root is modulo 36304291
GCD is N, no factor found
reading relations for dependency 2
read 974233 cycles
cycles contain 3180150 unique relations
read 3180150 relations
multiplying 3180150 relations
multiply complete, coefficients have about 105.45 million bits
initial square root is modulo 37053041
sqrtTime: 964
NFS elapsed time = 14580.4557 seconds.


***factors found***

PRP110 = 26817466944902810451930987766989411538609879910521658014403278148957559018727990517711709477070917264010080389
PRP59 = 84897711645192904013349945705851447515019469857036691947693

6723257427326037185338587159344380662713094414055853007234329995643877301035181703878978650861339998895333217509301417403522106916560889722014111425141474481<157>

221420394725445605000799427000151<33>
30364219319826735248650667358804337247970993171027903229829909448703653062603642525176895821064372165356594333176821379499831<125>

Input number is 6723257427326037185338587159344380662713094414055853007234329995643877301035181703878978650861339998895333217509301417403522106916560889722014111425141474481 (157 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4241102090
Step 1 took 377870ms
Step 2 took 119674ms
********** Factor found in step 2: 221420394725445605000799427000151
Found probable prime factor of 33 digits: 221420394725445605000799427000151
Probable prime cofactor 30364219319826735248650667358804337247970993171027903229829909448703653062603642525176895821064372165356594333176821379499831 has 125 digits

GMP-ECM 6.1

1061093404752900971541887048644555438014211494617122549429708012835191369060830123396712007705186137584078520547214624787988402931146882954115304691165662527163458673<166>

595994088561937115142082914549402700981475234802968617<54>
1780375720358557944914700664241024079560774478137276933896760933978405494824990902532860246922630790336877167369<112>

Fri Jan 25 17:18:34 2013  commencing relation filtering
Fri Jan 25 17:18:34 2013  estimated available RAM is 48289.8 MB
Fri Jan 25 17:18:34 2013  commencing duplicate removal, pass 1
Fri Jan 25 17:22:39 2013  skipped 1 relations with b > 2^32
Fri Jan 25 17:22:39 2013  found 2295441 hash collisions in 21081501 relations
Fri Jan 25 17:23:13 2013  added 718873 free relations
Fri Jan 25 17:23:13 2013  commencing duplicate removal, pass 2
Fri Jan 25 17:23:23 2013  found 1806184 duplicates and 19994190 unique relations
Fri Jan 25 17:23:23 2013  memory use: 98.6 MB
Fri Jan 25 17:23:23 2013  reading ideals above 720000
Fri Jan 25 17:23:23 2013  commencing singleton removal, initial pass
Fri Jan 25 17:28:09 2013  memory use: 689.0 MB
Fri Jan 25 17:28:09 2013  reading all ideals from disk
Fri Jan 25 17:28:09 2013  memory use: 653.6 MB
Fri Jan 25 17:28:11 2013  keeping 21748303 ideals with weight <= 200, target excess is 116745
Fri Jan 25 17:28:13 2013  commencing in-memory singleton removal
Fri Jan 25 17:28:15 2013  begin with 19994190 relations and 21748303 unique ideals
Fri Jan 25 17:28:33 2013  reduce to 8791051 relations and 8374203 ideals in 16 passes
Fri Jan 25 17:28:33 2013  max relations containing the same ideal: 114
Fri Jan 25 17:28:37 2013  removing 1195285 relations and 1054573 ideals in 140712 cliques
Fri Jan 25 17:28:38 2013  commencing in-memory singleton removal
Fri Jan 25 17:28:38 2013  begin with 7595766 relations and 8374203 unique ideals
Fri Jan 25 17:28:48 2013  reduce to 7469291 relations and 7190503 ideals in 12 passes
Fri Jan 25 17:28:48 2013  max relations containing the same ideal: 103
Fri Jan 25 17:28:52 2013  removing 894056 relations and 753344 ideals in 140712 cliques
Fri Jan 25 17:28:52 2013  commencing in-memory singleton removal
Fri Jan 25 17:28:53 2013  begin with 6575235 relations and 7190503 unique ideals
Fri Jan 25 17:28:59 2013  reduce to 6490797 relations and 6351070 ideals in 9 passes
Fri Jan 25 17:28:59 2013  max relations containing the same ideal: 93
Fri Jan 25 17:29:04 2013  relations with 0 large ideals: 2841
Fri Jan 25 17:29:04 2013  relations with 1 large ideals: 528
Fri Jan 25 17:29:04 2013  relations with 2 large ideals: 10815
Fri Jan 25 17:29:04 2013  relations with 3 large ideals: 90141
Fri Jan 25 17:29:04 2013  relations with 4 large ideals: 410193
Fri Jan 25 17:29:04 2013  relations with 5 large ideals: 1090110
Fri Jan 25 17:29:04 2013  relations with 6 large ideals: 1817959
Fri Jan 25 17:29:04 2013  relations with 7+ large ideals: 3068210
Fri Jan 25 17:29:04 2013  commencing 2-way merge
Fri Jan 25 17:29:09 2013  reduce to 3899415 relation sets and 3759688 unique ideals
Fri Jan 25 17:29:09 2013  commencing full merge
Fri Jan 25 17:30:15 2013  memory use: 450.2 MB
Fri Jan 25 17:30:16 2013  found 1982045 cycles, need 1961888
Fri Jan 25 17:30:17 2013  weight of 1961888 cycles is about 137631924 (70.15/cycle)
Fri Jan 25 17:30:17 2013  distribution of cycle lengths:
Fri Jan 25 17:30:17 2013  1 relations: 254426
Fri Jan 25 17:30:17 2013  2 relations: 238526
Fri Jan 25 17:30:17 2013  3 relations: 235843
Fri Jan 25 17:30:17 2013  4 relations: 210273
Fri Jan 25 17:30:17 2013  5 relations: 186406
Fri Jan 25 17:30:17 2013  6 relations: 158462
Fri Jan 25 17:30:17 2013  7 relations: 136570
Fri Jan 25 17:30:17 2013  8 relations: 114481
Fri Jan 25 17:30:17 2013  9 relations: 94243
Fri Jan 25 17:30:17 2013  10+ relations: 332658
Fri Jan 25 17:30:17 2013  heaviest cycle: 23 relations
Fri Jan 25 17:30:17 2013  commencing cycle optimization
Fri Jan 25 17:30:21 2013  start with 11092628 relations
Fri Jan 25 17:30:36 2013  pruned 233402 relations
Fri Jan 25 17:30:36 2013  memory use: 374.8 MB
Fri Jan 25 17:30:36 2013  distribution of cycle lengths:
Fri Jan 25 17:30:36 2013  1 relations: 254426
Fri Jan 25 17:30:36 2013  2 relations: 243463
Fri Jan 25 17:30:36 2013  3 relations: 243122
Fri Jan 25 17:30:36 2013  4 relations: 214458
Fri Jan 25 17:30:36 2013  5 relations: 189772
Fri Jan 25 17:30:36 2013  6 relations: 159992
Fri Jan 25 17:30:36 2013  7 relations: 137297
Fri Jan 25 17:30:36 2013  8 relations: 113584
Fri Jan 25 17:30:36 2013  9 relations: 93027
Fri Jan 25 17:30:36 2013  10+ relations: 312747
Fri Jan 25 17:30:36 2013  heaviest cycle: 22 relations
Fri Jan 25 17:30:39 2013  RelProcTime: 725
Fri Jan 25 17:30:40 2013  
Fri Jan 25 17:30:40 2013  commencing linear algebra
Fri Jan 25 17:30:40 2013  read 1961888 cycles
Fri Jan 25 17:30:43 2013  cycles contain 6324243 unique relations
Fri Jan 25 17:31:58 2013  read 6324243 relations
Fri Jan 25 17:32:07 2013  using 20 quadratic characters above 268434500
Fri Jan 25 17:32:41 2013  building initial matrix
Fri Jan 25 17:33:56 2013  memory use: 782.2 MB
Fri Jan 25 17:33:58 2013  read 1961888 cycles
Fri Jan 25 17:33:58 2013  matrix is 1961751 x 1961888 (590.8 MB) with weight 174225593 (88.81/col)
Fri Jan 25 17:33:58 2013  sparse part has weight 133284757 (67.94/col)
Fri Jan 25 17:34:23 2013  filtering completed in 2 passes
Fri Jan 25 17:34:23 2013  matrix is 1958363 x 1958526 (590.5 MB) with weight 174116807 (88.90/col)
Fri Jan 25 17:34:23 2013  sparse part has weight 133246922 (68.03/col)
Fri Jan 25 17:34:29 2013  matrix starts at (0, 0)
Fri Jan 25 17:34:32 2013  matrix is 1958363 x 1958526 (590.5 MB) with weight 174116807 (88.90/col)
Fri Jan 25 17:34:32 2013  sparse part has weight 133246922 (68.03/col)
Fri Jan 25 17:34:32 2013  saving the first 48 matrix rows for later
Fri Jan 25 17:34:32 2013  matrix includes 64 packed rows
Fri Jan 25 17:34:33 2013  matrix is 1958315 x 1958526 (561.8 MB) with weight 139046436 (71.00/col)
Fri Jan 25 17:34:33 2013  sparse part has weight 127674813 (65.19/col)
Fri Jan 25 17:34:33 2013  using block size 262144 for processor cache size 12288 kB
Fri Jan 25 17:34:37 2013  commencing Lanczos iteration (16 threads)
Fri Jan 25 17:34:37 2013  memory use: 853.6 MB
Fri Jan 25 17:34:48 2013  linear algebra at 0.1%, ETA 3h56m
Fri Jan 25 17:34:52 2013  checkpointing every 490000 dimensions
Fri Jan 25 21:27:04 2013  lanczos halted after 30966 iterations (dim = 1958309)
Fri Jan 25 21:27:07 2013  recovered 38 nontrivial dependencies
Fri Jan 25 21:27:07 2013  BLanczosTime: 14187
Fri Jan 25 21:27:07 2013  
Fri Jan 25 21:27:07 2013  commencing square root phase
Fri Jan 25 21:27:07 2013  reading relations for dependency 1
Fri Jan 25 21:27:08 2013  read 979650 cycles
Fri Jan 25 21:27:09 2013  cycles contain 3164766 unique relations
Fri Jan 25 21:27:52 2013  read 3164766 relations
Fri Jan 25 21:28:08 2013  multiplying 3164766 relations
Fri Jan 25 21:30:44 2013  multiply complete, coefficients have about 91.11 million bits
Fri Jan 25 21:30:44 2013  initial square root is modulo 3466811
Fri Jan 25 21:34:06 2013  sqrtTime: 419


prp54 = 595994088561937115142082914549402700981475234802968617
prp112 = 1780375720358557944914700664241024079560774478137276933896760933978405494824990902532860246922630790336877167369
NFS elapsed time = 98105.4606 seconds.

26956790377020776590429855964170349691745779506968581574948521357969931727908386862870897953401426158010707035961255664030758324732803699649073524354481961045551069100446819<173>

95312458124447224795190832989059104022296743897607030704970127132422070079993<77>
282825465919931812641821888343475351245138036524801494635554056553103873324503150890106865741883<96>

Number: 2
N=26956790377020776590429855964170349691745779506968581574948521357969931727908386862870897953401426158010707035961255664030758324732803699649073524354481961045551069100446819
  ( 173 digits)
SNFS difficulty: 192 digits.
Divisors found:
 r1=95312458124447224795190832989059104022296743897607030704970127132422070079993 (pp77)
 r2=282825465919931812641821888343475351245138036524801494635554056553103873324503150890106865741883 (pp96)
Version: Msieve v. 1.43
Total time: 11.63 hours.
Scaled time: 27.92 units (timescale=2.401).
Factorization parameters were as follows:
n: 26956790377020776590429855964170349691745779506968581574948521357969931727908386862870897953401426158010707035961255664030758324732803699649073524354481961045551069100446819
m: 100000000000000000000000000000000000000
deg: 5
c5: 520
c0: -7
skew: 0.42
type: snfs
lss: 1
rlim: 11400000
alim: 11400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5Factor base limits: 11400000/11400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [5700000, 5700000)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2328749 x 2328974
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 11.18 hours.
Time per square root: 0.45 hours.
Prototype def-par.txt line would be:
snfs,192.000,5,0,0,0,0,0,0,0,0,11400000,11400000,28,28,55,55,2.5,2.5,100000
total time: 11.63 hours.

GGNFS, Msieve

55350248179708895141146480483844705388293119573825569732425266102890965921853822359716070640877712984032159115818275040192289998036971515471135740225889408209399151458768191360675885457<185>

18595565132796813986844950129137<32>

2976529499611077203351314293501630935725085943516388594718960226957377562030460064235579076244868260455936858563466712545309238934826051949497196929491361<154>

Input number is 55350248179708895141146480483844705388293119573825569732425266102890965921853822359716070640877712984032159115818275040192289998036971515471135740225889408209399151458768191360675885457 (185 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2950670048
Step 1 took 506446ms
Step 2 took 151953ms
********** Factor found in step 2: 18595565132796813986844950129137
Found probable prime factor of 32 digits: 18595565132796813986844950129137
Composite cofactor 2976529499611077203351314293501630935725085943516388594718960226957377562030460064235579076244868260455936858563466712545309238934826051949497196929491361 has 154 digits

GMP-ECM 6.1

2976529499611077203351314293501630935725085943516388594718960226957377562030460064235579076244868260455936858563466712545309238934826051949497196929491361<154>

2213836869102727608604180211960758853013103281383020394425608528871379048417<76>
1344511667120924949708912848829097866419296942170763947454495263041083326480833<79>

N=2976529499611077203351314293501630935725085943516388594718960226957377562030460064235579076244868260455936858563466712545309238934826051949497196929491361
  ( 154 digits)
SNFS difficulty: 193 digits.
Divisors found:
 r1=2213836869102727608604180211960758853013103281383020394425608528871379048417 (pp76)
 r2=1344511667120924949708912848829097866419296942170763947454495263041083326480833 (pp79)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 357.18 hours.
Scaled time: 685.43 units (timescale=1.919).
Factorization parameters were as follows:
n: 2976529499611077203351314293501630935725085943516388594718960226957377562030460064235579076244868260455936858563466712545309238934826051949497196929491361
m: 100000000000000000000000000000000000000
deg: 5
c5: 5200
c0: -7
skew: 0.27
# Murphy_E = 2.697e-11
type: snfs
lss: 1
rlim: 11800000
alim: 11800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 11800000/11800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [5900000, 22100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2501379 x 2501604
Total sieving time: 350.39 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 6.15 hours.
Time per square root: 0.36 hours.
Prototype def-par.txt line would be:
snfs,193.000,5,0,0,0,0,0,0,0,0,11800000,11800000,28,28,55,55,2.5,2.5,100000
total time: 357.18 hours.
 --------- CPU info (if available) ----------

1754902972952327781779416235480976904894050387620050309243552328508290039278232234119981955593421745172186417698794495895615468423200918962947443166988342517<157>

36201349029514598526708460117<29>

48476176164638862053734691122979671227372039614455965680139465155443601982618066197127877857347079214807473440402864044309127201<128>

Input number is 1754902972952327781779416235480976904894050387620050309243552328508290039278232234119981955593421745172186417698794495895615468423200918962947443166988342517 (157 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2163703414
Step 1 took 376031ms
Step 2 took 118933ms
********** Factor found in step 2: 36201349029514598526708460117
Found probable prime factor of 29 digits: 36201349029514598526708460117
Composite cofactor 48476176164638862053734691122979671227372039614455965680139465155443601982618066197127877857347079214807473440402864044309127201 has 128 digits

GMP-ECM 6.1

48476176164638862053734691122979671227372039614455965680139465155443601982618066197127877857347079214807473440402864044309127201<128>

1361633458879307976532980614815947376699811<43>
35601487205328491845602471971596039725155115291438663960324094921313571336527310320491<86>

GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 48476176164638862053734691122979671227372039614455965680139465155443601982618066197127877857347079214807473440402864044309127201 (128 digits)
Using B1=6942000, B2=17125579390, polynomial Dickson(12), sigma=2494068609
Step 1 took 69080ms
Step 2 took 28676ms
********** Factor found in step 2: 1361633458879307976532980614815947376699811
Found probable prime factor of 43 digits: 1361633458879307976532980614815947376699811
Probable prime cofactor 35601487205328491845602471971596039725155115291438663960324094921313571336527310320491 has 86 digits

21537211722834316175306561189600869251522832686024152523403514725302058553867570966717663873330933742898088541837330845623467127377480437754425334970599190630125043471<167>

30612927514071156846784322002866055941539<41>
703533228337433255034037808185060584919732405744586945887692326675648301743278084448563974094230110167875059952081791708743589<126>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2729741791
Step 1 took 99321ms
Step 2 took 33415ms
********** Factor found in step 2: 30612927514071156846784322002866055941539
Found probable prime factor of 41 digits: 30612927514071156846784322002866055941539

126508695437909512224248055783991202837568466458231484402685101012833695221782072616255958132024366027936065250291436006570769414758361888624115246658327546032639<162>

1147368479450803350892960355628253878443119<43>
8057561784111871534048592494523267711697846337592935373<55>
13684023717462302723800659371482835404673009473413052372894329397<65>

126508695437909512224248055783991202837568466458231484402685101012833695221782072616255958132024366027936065250291436006570769414758361888624115246658327546032639=1147368479450803350892960355628253878443119*8057561784111871534048592494523267711697846337592935373*13684023717462302723800659371482835404673009473413052372894329397

cado polynomial
n: 126508695437909512224248055783991202837568466458231484402685101012833695221782072616255958132024366027936065250291436006570769414758361888624115246658327546032639
skew: 0.72
type: snfs
c0: -7
c6: 52
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 52*x^6-7
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 14900000
tasks.lim1 = 14900000
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: 13684023717462302723800659371482835404673009473413052372894329397 8057561784111871534048592494523267711697846337592935373 1147368479450803350892960355628253878443119
Info:Square Root: Total cpu/real time for sqrt: 1466.08/432.178
Info:Filtering - Singleton removal: Total cpu/real time for purge: 431.46/468.101
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 28779645
Info:Lattice Sieving: Average J: 1894.5 for 3723510 special-q, max bucket fill -bkmult 1.0,1s:1.179610
Info:Lattice Sieving: Total time: 924871s
Info:Linear Algebra: Total cpu/real time for bwc: 126118/32287.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 80970.73, WCT time 20669.68, iteration CPU time 0.23, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (83968 iterations)
Info:Linear Algebra: Lingen CPU time 574.65, WCT time 145.76
Info:Linear Algebra: Mksol: CPU time 43598.89,  WCT time 11134.64, iteration CPU time 0.25, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (41984 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 9.68/3.79873
Info:Generate Free Relations: Total cpu/real time for freerel: 183.14/47.2699
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 122.12/144.022
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 143.1s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 547.94/557.301
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 457.2s
Info:Filtering - Merging: Merged matrix has 2671008 rows and total weight 456043695 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 747.73/206.36
Info:Filtering - Merging: Total cpu/real time for replay: 104.68/90.6041
Info:Quadratic Characters: Total cpu/real time for characters: 91.77/40.0282
Info:Square Root: Total cpu/real time for sqrt: 1466.08/432.178
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.92897e+06/107601
Info:root: Cleaning up computation data in /tmp/cado.el582ftc
13684023717462302723800659371482835404673009473413052372894329397 8057561784111871534048592494523267711697846337592935373 1147368479450803350892960355628253878443119

cado-nfs-3.0.0

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

132665833248291504577075981462746658029644880059098673326213953983204572577302635836597662149004797253854454132554964257802810083414040896893578209403679<153>

411351101494831873367498992021260976263151<42>

322512405500288394218032710154255774087278705689799529635356287413030666368619768153870436563708339820226277329<111>

Input number is 132665833248291504577075981462746658029644880059098673326213953983204572577302635836597662149004797253854454132554964257802810083414040896893578209403679 (153 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3736281930
Step 1 took 348303ms
Step 2 took 115094ms
********** Factor found in step 2: 411351101494831873367498992021260976263151
Found probable prime factor of 42 digits: 411351101494831873367498992021260976263151
Composite cofactor 322512405500288394218032710154255774087278705689799529635356287413030666368619768153870436563708339820226277329 has 111 digits

GMP-ECM 6.1

322512405500288394218032710154255774087278705689799529635356287413030666368619768153870436563708339820226277329<111>

1272101379026747903707298354196236477819089199<46>
253527282351532668908867579235496341067847640059655454647818415871<66>

Number: 57777_199
N=322512405500288394218032710154255774087278705689799529635356287413030666368619768153870436563708339820226277329
  ( 111 digits)
Divisors found:
 r1=1272101379026747903707298354196236477819089199 (pp46)
 r2=253527282351532668908867579235496341067847640059655454647818415871 (pp66)
Version: GGNFS-0.77.1-20050930-k8
Total time: 19.89 hours.
Scaled time: 17.98 units (timescale=0.904).
Factorization parameters were as follows:
name: 57777_199
n: 322512405500288394218032710154255774087278705689799529635356287413030666368619768153870436563708339820226277329
skew: 19049.31
# norm 4.62e+15
c5: 56940
c4: 8333311569
c3: 130378450823455
c2: -3457389236060032737
c1: 7122233774699597553648
c0: 26218571313762820195500400
# alpha -5.75
Y1: 129261245377
Y0: -1414570610242647704179
# Murphy_E 8.37e-10
# M 244908670307495451176391156578070089225011585752165573221271866723377090566827216829777892597738977141074837489
type: gnfs
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 60000
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1200000, 2040001)
Primes: RFBsize:176302, AFBsize:176810, largePrimes:7526749 encountered
Relations: rels:7290349, finalFF:434299
Max relations in full relation-set: 28
Initial matrix: 353195 x 434299 with sparse part having weight 42494161.
Pruned matrix : 299074 x 300903 with weight 27376589.
Total sieving time: 18.86 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 0.75 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
gnfs,110,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2400000,2400000,27,27,50,50,2.6,2.6,60000
total time: 19.89 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 06
Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 06
Memory: 4037276k/5242880k available (2106k kernel code, 0k reserved, 1297k data, 196k init)
Calibrating delay using timer specific routine.. 4671.63 BogoMIPS (lpj=2335816)
Calibrating delay using timer specific routine.. 4668.47 BogoMIPS (lpj=2334238)
Total of 2 processors activated (9340.10 BogoMIPS).

Core 2 Duo E6300@2.33GHz

6005746479913446404346726758032944408081363856952174853123170919963824951307811742336904849137778594825101331685928673270285489469708151517506806792204469486897000526475130709847<178>

51991421624319888522887138780136184192355962882489488624811019795388145661015829382141<86>
115514180845252256064057441508823472503803486871040548490504098849197079144427556445314250467<93>

Number: n
N=6005746479913446404346726758032944408081363856952174853123170919963824951307811742336904849137778594825101331685928673270285489469708151517506806792204469486897000526475130709847
  ( 178 digits)
SNFS difficulty: 201 digits.
Divisors found:

Sun Sep 30 13:11:14 2012  prp86 factor: 51991421624319888522887138780136184192355962882489488624811019795388145661015829382141
Sun Sep 30 13:11:14 2012  prp93 factor: 115514180845252256064057441508823472503803486871040548490504098849197079144427556445314250467
Sun Sep 30 13:11:14 2012  elapsed time 06:39:11 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.094).
Factorization parameters were as follows:
name: KA_57777_200
n: 6005746479913446404346726758032944408081363856952174853123170919963824951307811742336904849137778594825101331685928673270285489469708151517506806792204469486897000526475130709847
m: 10000000000000000000000000000000000000000
#  c178, diff: 201.72
skew: 0.67
deg: 5
c5: 52
c0: -7
# Murphy_E = 1.393e-11
type: snfs
lss: 1
rlim: 16100000
alim: 16100000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 16100000/16100000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 23250000)
Primes: RFBsize:1037119, AFBsize:1036049,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 10619282 hash collisions in 66716240 relations (58492269 unique)
Msieve: matrix is 1988242 x 1988467 (562.8 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,16100000,16100000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.42 BogoMIPS (lpj=2830711)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830461)
Total of 4 processors activated (22644.16 BogoMIPS).

339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281<201>

125122724092779212405924526892226718008910557438256750215615650437133<69>
2716287417094089373891951696325505296257611996736767796909378438062195209416094069479645197442693059776416360256508101715646216801957<133>

Number: n
N=339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281
  ( 201 digits)
SNFS difficulty: 202 digits.
Divisors found:

Tue Nov 12 23:18:42 2013  prp69 factor: 125122724092779212405924526892226718008910557438256750215615650437133
Tue Nov 12 23:18:42 2013  prp133 factor: 2716287417094089373891951696325505296257611996736767796909378438062195209416094069479645197442693059776416360256508101715646216801957
Tue Nov 12 23:18:42 2013  elapsed time 10:25:10 (Msieve 1.44 - dependency 3)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.770).
Factorization parameters were as follows:
#
#  57(201)
#
#  c201, diff: 202.72
#
skew: 0.422
n: 339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281
m: 10000000000000000000000000000000000000000
deg: 5
c5: 520
c0: -7
# Murphy_E = 1.204e-11
type: snfs
lss: 1
rlim: 16700000
alim: 16700000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 16700000/16700000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 12350000)
Primes: RFBsize:1073198, AFBsize:1072856,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 5955007 hash collisions in 47209092 relations (43049972 unique)
Msieve: matrix is 2425932 x 2426157 (691.4 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 8hrs 24min 47sec.
Matrix solve time: 0.00 hours.
Total square root time: 1hrs 34min 1sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16700000,16700000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

15021421803351235146463654370299215707877222683022025359298066641779178359870003926645244635225215011931302434414223431114817544211167859684985319893127190434114191141084630071002028247<185>

1960473834481873482723681921991308255247603577<46>
7662138376522220822386203673942076752719855607907995483169326635122657349773934363270241945257469395606962446956398763981271779354194005711<139>

Number: n
N=15021421803351235146463654370299215707877222683022025359298066641779178359870003926645244635225215011931302434414223431114817544211167859684985319893127190434114191141084630071002028247  ( 185 digits)
SNFS difficulty: 203 digits.
Divisors found:

Thu Sep  9 01:31:33 2021  p46 factor: 1960473834481873482723681921991308255247603577
Thu Sep  9 01:31:33 2021  p139 factor: 7662138376522220822386203673942076752719855607907995483169326635122657349773934363270241945257469395606962446956398763981271779354194005711
Thu Sep  9 01:31:33 2021  elapsed time 01:54:17 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.346).
Factorization parameters were as follows:
#
# n = 52X10^202-7 = 57(202)
#
n: 15021421803351235146463654370299215707877222683022025359298066641779178359870003926645244635225215011931302434414223431114817544211167859684985319893127190434114191141084630071002028247
m: 10000000000000000000000000000000000000000
deg: 5
c5: 5200
c0: -7
skew: 0.27
# Murphy_E = 1.035e-11
type: snfs
lss: 1
rlim: 17400000
alim: 17400000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17400000/17400000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9134098 hash collisions in 65846058 relations (58098486 unique)
Msieve: matrix is 2240302 x 2240530 (770.6 MB)

Sieving start time : 2021/09/08 10:29:25
Sieving end time  : 2021/09/08 23:35:44

Total sieving time: 13hrs 6min 19secs.

Total relation processing time: 1hrs 34min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 6sec.

Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17400000,17400000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116939] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239968K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2736K init, 4964K bss, 487268K reserved, 0K cma-reserved)
[    0.154077] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.20 BogoMIPS (lpj=12798404)
[    0.152034] smpboot: Total of 16 processors activated (102387.23 BogoMIPS)

133425119444525350131536289134078545741644510960394643008081809003783506810720778824178086339371424143278057022826066280701373833843069168210265903776492978087465811416833<171>

1285461207721061407318826466643552510321<40>
103795523850205464528430782524222889776592414655235027189053145491594335829733740539497329319390792122532757218819546451371836835473<132>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2827606608
Step 1 took 71553ms
Step 2 took 26981ms
********** Factor found in step 2: 1285461207721061407318826466643552510321
Found probable prime factor of 40 digits: 1285461207721061407318826466643552510321

1772669925225195005069205026907388817807344223388757451864957093792954946408844598545122323271987048586214646069918646645361097881037214126755782793293307670908585801784244460169<178>

381325892675598730096637439571016141<36>

4648700650215849358542808958368803474092293678596986012896389517534554698375722702225773506154168348011440117492333332680201628646474765268909<142>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1057675665
Step 1 took 10530ms
Step 2 took 6334ms
********** Factor found in step 2: 381325892675598730096637439571016141
Found probable prime factor of 36 digits: 381325892675598730096637439571016141
Composite cofactor 4648700650215849358542808958368803474092293678596986012896389517534554698375722702225773506154168348011440117492333332680201628646474765268909 has 142 digits

GMP-ECM 6.3

4648700650215849358542808958368803474092293678596986012896389517534554698375722702225773506154168348011440117492333332680201628646474765268909<142>

1060336469925530019063918057928066925290559812262159<52>
4384175006771519221363319620681593183627381750404632932501890640979514373769627542976613251<91>

Number: 57777_204
N = 4648700650215849358542808958368803474092293678596986012896389517534554698375722702225773506154168348011440117492333332680201628646474765268909 (142 digits)
Divisors found:
r1=1060336469925530019063918057928066925290559812262159 (pp52)
r2=4384175006771519221363319620681593183627381750404632932501890640979514373769627542976613251 (pp91)
Version: Msieve v. 1.51 (SVN 845)
Total time: 475.54 hours.
Factorization parameters were as follows:
# Murphy_E = 1.64336869e-11, selected by Maksym Voznyy
# selected by CADO-NFS
n: 4648700650215849358542808958368803474092293678596986012896389517534554698375722702225773506154168348011440117492333332680201628646474765268909
Y0: -1755751116223919426322096446
Y1: 29353821919856247989
c0: -164607887122042843323619095900
c1: -417299586375155264231938075
c2: -24254857245234699412474
c3: 10124762067557885
c4: 141344513336
c5: 554880
skew: 173847.25561
type: gnfs
# selected mechanically
rlim: 20000000
alim: 20000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23198878
Relations: 4357342 relations
Pruned matrix : 2687294 x 2687519
Polynomial selection time: 0.00 hours.
Total sieving time: 467.41 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 7.47 hours.
time per square root: 0.45 hours.
Prototype def-par.txt line would be: gnfs,141,5,65,2000,1e-05,0.28,250,20,50000,3600,20000000,20000000,28,28,56,56,2.6,2.6,100000
total time: 475.54 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 8, speed: 2.29GHz

GGNFS, Msieve

1269711623933788160979169468520838210549271634657108932358777258526214663785430352167590301632598644145946350874978569020857578629102751310345557858915015377029081<163>

8902366691568773249644693314082743200722976540649185437<55>
142626300165359717010708603588565777912332936672128545298988139654122567422747216892879285698393937914063213<108>

Number: n
N=1269711623933788160979169468520838210549271634657108932358777258526214663785430352167590301632598644145946350874978569020857578629102751310345557858915015377029081  ( 163 digits)
SNFS difficulty: 206 digits.
Divisors found:

Thu Apr  4 19:39:40 2024  prp55 factor: 8902366691568773249644693314082743200722976540649185437
Thu Apr  4 19:39:40 2024  prp108 factor: 142626300165359717010708603588565777912332936672128545298988139654122567422747216892879285698393937914063213
Thu Apr  4 19:39:40 2024  elapsed time 03:30:00 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.086).
Factorization parameters were as follows:
#
# N = 52x10^205-7 = 57(205)
#
n: 1269711623933788160979169468520838210549271634657108932358777258526214663785430352167590301632598644145946350874978569020857578629102751310345557858915015377029081
m: 100000000000000000000000000000000000000000
deg: 5
c5: 52
c0: -7
skew: 0.67
# Murphy_E = 8.578e-12
type: snfs
lss: 1
rlim: 19500000
alim: 19500000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19500000/19500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 42550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3924329 hash collisions in 19148180 relations (15407688 unique)
Msieve: matrix is 2543748 x 2543973 (718.3 MB)

Sieving start time: 2024/04/03 23:54:58
Sieving end time  : 2024/04/04 16:09:15

Total sieving time: 16hrs 14min 17secs.

Total relation processing time: 3hrs 19min 2sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 53sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19500000,19500000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

759234924806541100890640969484596291429405752664622572638341363702730325594977368958972112717184990509563439918236238866987881442546357132428091692217842020732953715870930062782888012848591035187618630457<204>

37792540798959570043614383998733132751418026017848370025526379682338651365422746888263462944779459<98>
20089544358643461850850506576171184698992425976597251689302789198942527219412436787730502679831621124823123<107>

Sun Jan  5 12:55:52 2014  Msieve v. 1.52 (SVN 956M)
Sun Jan  5 12:55:52 2014  random seeds: 34883ac8 797b3058
Sun Jan  5 12:55:52 2014  factoring 759234924806541100890640969484596291429405752664622572638341363702730325594977368958972112717184990509563439918236238866987881442546357132428091692217842020732953715870930062782888012848591035187618630457 (204 digits)
Sun Jan  5 12:55:53 2014  searching for 15-digit factors
Sun Jan  5 12:55:59 2014  commencing number field sieve (204-digit input)
Sun Jan  5 12:55:59 2014  R0: 100000000000000000000000000000000000000000
Sun Jan  5 12:55:59 2014  R1: -1
Sun Jan  5 12:55:59 2014  A0: -7
Sun Jan  5 12:55:59 2014  A1: 0
Sun Jan  5 12:55:59 2014  A2: 0
Sun Jan  5 12:55:59 2014  A3: 0
Sun Jan  5 12:55:59 2014  A4: 0
Sun Jan  5 12:55:59 2014  A5: 520
Sun Jan  5 12:55:59 2014  skew 0.42, size 1.686e-14, alpha 0.572, combined = 6.570e-12 rroots = 1
Sun Jan  5 12:55:59 2014  
Sun Jan  5 12:55:59 2014  commencing relation filtering
Sun Jan  5 12:55:59 2014  estimated available RAM is 32004.4 MB
Sun Jan  5 12:55:59 2014  commencing duplicate removal, pass 1
Sun Jan  5 12:56:08 2014  error -11 reading relation 1519987
Sun Jan  5 12:56:27 2014  error -11 reading relation 4475324
Sun Jan  5 12:56:37 2014  error -11 reading relation 5989742
Sun Jan  5 12:56:55 2014  error -11 reading relation 8935534
Sun Jan  5 12:57:05 2014  error -11 reading relation 10453727
Sun Jan  5 12:57:24 2014  error -9 reading relation 13393682
Sun Jan  5 12:57:34 2014  error -11 reading relation 14915929
Sun Jan  5 12:57:52 2014  error -11 reading relation 17837073
Sun Jan  5 12:57:59 2014  error -15 reading relation 18933607
Sun Jan  5 12:58:18 2014  error -15 reading relation 21840944
Sun Jan  5 12:58:25 2014  error -11 reading relation 22939578
Sun Jan  5 12:58:43 2014  error -15 reading relation 25829867
Sun Jan  5 12:58:50 2014  error -15 reading relation 26927531
Sun Jan  5 12:59:08 2014  error -11 reading relation 29796730
Sun Jan  5 12:59:15 2014  error -15 reading relation 30883339
Sun Jan  5 12:59:33 2014  error -11 reading relation 33735670
Sun Jan  5 13:01:24 2014  error -15 reading relation 51460306
Sun Jan  5 13:01:30 2014  error -15 reading relation 52484130
Sun Jan  5 13:01:37 2014  error -15 reading relation 53500406
Sun Jan  5 13:01:43 2014  error -1 reading relation 54511050
Sun Jan  5 13:01:56 2014  error -11 reading relation 56521107
Sun Jan  5 13:02:27 2014  error -5 reading relation 61375038
Sun Jan  5 13:02:59 2014  error -15 reading relation 66444303
Sun Jan  5 13:03:31 2014  error -15 reading relation 71357844
Sun Jan  5 13:04:02 2014  error -11 reading relation 76338941
Sun Jan  5 13:04:34 2014  skipped 14 relations with b > 2^32
Sun Jan  5 13:04:34 2014  found 9408345 hash collisions in 81368601 relations
Sun Jan  5 13:04:58 2014  added 731070 free relations
Sun Jan  5 13:04:58 2014  commencing duplicate removal, pass 2
Sun Jan  5 13:05:13 2014  found 7763681 duplicates and 74335990 unique relations
Sun Jan  5 13:05:13 2014  memory use: 394.4 MB
Sun Jan  5 13:05:13 2014  reading ideals above 720000
Sun Jan  5 13:05:13 2014  commencing singleton removal, initial pass
Sun Jan  5 13:14:37 2014  memory use: 1506.0 MB
Sun Jan  5 13:14:37 2014  reading all ideals from disk
Sun Jan  5 13:14:38 2014  memory use: 2595.6 MB
Sun Jan  5 13:14:43 2014  keeping 76473944 ideals with weight <= 200, target excess is 451176
Sun Jan  5 13:14:48 2014  commencing in-memory singleton removal
Sun Jan  5 13:14:52 2014  begin with 74335989 relations and 76473944 unique ideals
Sun Jan  5 13:15:29 2014  reduce to 32603301 relations and 28278504 ideals in 18 passes
Sun Jan  5 13:15:29 2014  max relations containing the same ideal: 117
Sun Jan  5 13:15:39 2014  removing 3315229 relations and 2915229 ideals in 400000 cliques
Sun Jan  5 13:15:40 2014  commencing in-memory singleton removal
Sun Jan  5 13:15:42 2014  begin with 29288072 relations and 28278504 unique ideals
Sun Jan  5 13:15:55 2014  reduce to 29010932 relations and 25081386 ideals in 9 passes
Sun Jan  5 13:15:55 2014  max relations containing the same ideal: 109
Sun Jan  5 13:16:04 2014  removing 2443080 relations and 2043080 ideals in 400000 cliques
Sun Jan  5 13:16:04 2014  commencing in-memory singleton removal
Sun Jan  5 13:16:06 2014  begin with 26567852 relations and 25081386 unique ideals
Sun Jan  5 13:16:17 2014  reduce to 26400036 relations and 22868057 ideals in 8 passes
Sun Jan  5 13:16:17 2014  max relations containing the same ideal: 101
Sun Jan  5 13:16:24 2014  removing 2167112 relations and 1767112 ideals in 400000 cliques
Sun Jan  5 13:16:25 2014  commencing in-memory singleton removal
Sun Jan  5 13:16:26 2014  begin with 24232924 relations and 22868057 unique ideals
Sun Jan  5 13:16:36 2014  reduce to 24089926 relations and 20955841 ideals in 8 passes
Sun Jan  5 13:16:36 2014  max relations containing the same ideal: 95
Sun Jan  5 13:16:43 2014  removing 2022668 relations and 1622668 ideals in 400000 cliques
Sun Jan  5 13:16:43 2014  commencing in-memory singleton removal
Sun Jan  5 13:16:45 2014  begin with 22067258 relations and 20955841 unique ideals
Sun Jan  5 13:16:54 2014  reduce to 21931551 relations and 19195351 ideals in 9 passes
Sun Jan  5 13:16:54 2014  max relations containing the same ideal: 89
Sun Jan  5 13:17:01 2014  removing 1930283 relations and 1530283 ideals in 400000 cliques
Sun Jan  5 13:17:01 2014  commencing in-memory singleton removal
Sun Jan  5 13:17:02 2014  begin with 20001268 relations and 19195351 unique ideals
Sun Jan  5 13:17:10 2014  reduce to 19866206 relations and 17527883 ideals in 8 passes
Sun Jan  5 13:17:10 2014  max relations containing the same ideal: 85
Sun Jan  5 13:17:16 2014  removing 1866195 relations and 1466195 ideals in 400000 cliques
Sun Jan  5 13:17:16 2014  commencing in-memory singleton removal
Sun Jan  5 13:17:17 2014  begin with 18000011 relations and 17527883 unique ideals
Sun Jan  5 13:17:24 2014  reduce to 17862237 relations and 15921539 ideals in 8 passes
Sun Jan  5 13:17:24 2014  max relations containing the same ideal: 81
Sun Jan  5 13:17:29 2014  removing 1824627 relations and 1424627 ideals in 400000 cliques
Sun Jan  5 13:17:29 2014  commencing in-memory singleton removal
Sun Jan  5 13:17:30 2014  begin with 16037610 relations and 15921539 unique ideals
Sun Jan  5 13:17:36 2014  reduce to 15891816 relations and 14348256 ideals in 8 passes
Sun Jan  5 13:17:36 2014  max relations containing the same ideal: 75
Sun Jan  5 13:17:41 2014  removing 1800637 relations and 1400637 ideals in 400000 cliques
Sun Jan  5 13:17:41 2014  commencing in-memory singleton removal
Sun Jan  5 13:17:42 2014  begin with 14091179 relations and 14348256 unique ideals
Sun Jan  5 13:17:49 2014  reduce to 13932726 relations and 12785726 ideals in 11 passes
Sun Jan  5 13:17:49 2014  max relations containing the same ideal: 66
Sun Jan  5 13:17:53 2014  removing 1787083 relations and 1387083 ideals in 400000 cliques
Sun Jan  5 13:17:53 2014  commencing in-memory singleton removal
Sun Jan  5 13:17:54 2014  begin with 12145643 relations and 12785726 unique ideals
Sun Jan  5 13:17:59 2014  reduce to 11965100 relations and 11213625 ideals in 10 passes
Sun Jan  5 13:17:59 2014  max relations containing the same ideal: 59
Sun Jan  5 13:18:02 2014  removing 1154708 relations and 926598 ideals in 228110 cliques
Sun Jan  5 13:18:03 2014  commencing in-memory singleton removal
Sun Jan  5 13:18:03 2014  begin with 10810392 relations and 11213625 unique ideals
Sun Jan  5 13:18:07 2014  reduce to 10727896 relations and 10203215 ideals in 8 passes
Sun Jan  5 13:18:07 2014  max relations containing the same ideal: 56
Sun Jan  5 13:18:11 2014  relations with 0 large ideals: 9114
Sun Jan  5 13:18:11 2014  relations with 1 large ideals: 22167
Sun Jan  5 13:18:11 2014  relations with 2 large ideals: 195260
Sun Jan  5 13:18:11 2014  relations with 3 large ideals: 866314
Sun Jan  5 13:18:11 2014  relations with 4 large ideals: 2139667
Sun Jan  5 13:18:11 2014  relations with 5 large ideals: 3059812
Sun Jan  5 13:18:11 2014  relations with 6 large ideals: 2659719
Sun Jan  5 13:18:11 2014  relations with 7+ large ideals: 1775843
Sun Jan  5 13:18:11 2014  commencing 2-way merge
Sun Jan  5 13:18:15 2014  reduce to 6222159 relation sets and 5697478 unique ideals
Sun Jan  5 13:18:15 2014  commencing full merge
Sun Jan  5 13:19:00 2014  memory use: 654.4 MB
Sun Jan  5 13:19:00 2014  found 3292466 cycles, need 3219678
Sun Jan  5 13:19:01 2014  weight of 3219678 cycles is about 225433674 (70.02/cycle)
Sun Jan  5 13:19:01 2014  distribution of cycle lengths:
Sun Jan  5 13:19:01 2014  1 relations: 396363
Sun Jan  5 13:19:01 2014  2 relations: 368119
Sun Jan  5 13:19:01 2014  3 relations: 373059
Sun Jan  5 13:19:01 2014  4 relations: 351931
Sun Jan  5 13:19:01 2014  5 relations: 327644
Sun Jan  5 13:19:01 2014  6 relations: 294820
Sun Jan  5 13:19:01 2014  7 relations: 262555
Sun Jan  5 13:19:01 2014  8 relations: 222483
Sun Jan  5 13:19:01 2014  9 relations: 181813
Sun Jan  5 13:19:01 2014  10+ relations: 440891
Sun Jan  5 13:19:01 2014  heaviest cycle: 17 relations
Sun Jan  5 13:19:01 2014  commencing cycle optimization
Sun Jan  5 13:19:04 2014  start with 17392797 relations
Sun Jan  5 13:19:15 2014  pruned 340475 relations
Sun Jan  5 13:19:15 2014  memory use: 606.5 MB
Sun Jan  5 13:19:15 2014  distribution of cycle lengths:
Sun Jan  5 13:19:15 2014  1 relations: 396363
Sun Jan  5 13:19:15 2014  2 relations: 375214
Sun Jan  5 13:19:15 2014  3 relations: 383895
Sun Jan  5 13:19:15 2014  4 relations: 358970
Sun Jan  5 13:19:15 2014  5 relations: 334956
Sun Jan  5 13:19:15 2014  6 relations: 299701
Sun Jan  5 13:19:15 2014  7 relations: 265406
Sun Jan  5 13:19:15 2014  8 relations: 222742
Sun Jan  5 13:19:15 2014  9 relations: 179620
Sun Jan  5 13:19:15 2014  10+ relations: 402811
Sun Jan  5 13:19:15 2014  heaviest cycle: 17 relations
Sun Jan  5 13:19:18 2014  RelProcTime: 1399
Sun Jan  5 13:19:18 2014  elapsed time 00:23:26
Sun Jan  5 13:19:39 2014  
Sun Jan  5 13:19:39 2014  
Sun Jan  5 13:19:39 2014  Msieve v. 1.52 (SVN 956M)
Sun Jan  5 13:19:39 2014  random seeds: 1f545f70 fca9180a
Sun Jan  5 13:19:39 2014  factoring 759234924806541100890640969484596291429405752664622572638341363702730325594977368958972112717184990509563439918236238866987881442546357132428091692217842020732953715870930062782888012848591035187618630457 (204 digits)
Sun Jan  5 13:19:40 2014  searching for 15-digit factors
Sun Jan  5 13:19:41 2014  commencing number field sieve (204-digit input)
Sun Jan  5 13:19:41 2014  R0: 100000000000000000000000000000000000000000
Sun Jan  5 13:19:41 2014  R1: -1
Sun Jan  5 13:19:41 2014  A0: -7
Sun Jan  5 13:19:41 2014  A1: 0
Sun Jan  5 13:19:41 2014  A2: 0
Sun Jan  5 13:19:41 2014  A3: 0
Sun Jan  5 13:19:41 2014  A4: 0
Sun Jan  5 13:19:41 2014  A5: 520
Sun Jan  5 13:19:41 2014  skew 0.42, size 1.686e-14, alpha 0.572, combined = 6.570e-12 rroots = 1
Sun Jan  5 13:19:41 2014  
Sun Jan  5 13:19:41 2014  commencing linear algebra
Sun Jan  5 13:19:41 2014  read 3219678 cycles
Sun Jan  5 13:19:44 2014  cycles contain 10330138 unique relations
Sun Jan  5 13:20:54 2014  read 10330138 relations
Sun Jan  5 13:21:01 2014  using 20 quadratic characters above 1073739860
Sun Jan  5 13:21:37 2014  building initial matrix
Sun Jan  5 13:22:30 2014  memory use: 1283.2 MB
Sun Jan  5 13:22:31 2014  read 3219678 cycles
Sun Jan  5 13:22:31 2014  matrix is 3219495 x 3219678 (970.4 MB) with weight 286081821 (88.85/col)
Sun Jan  5 13:22:31 2014  sparse part has weight 218979183 (68.01/col)
Sun Jan  5 13:22:51 2014  filtering completed in 2 passes
Sun Jan  5 13:22:51 2014  matrix is 3214665 x 3214847 (970.0 MB) with weight 285934005 (88.94/col)
Sun Jan  5 13:22:51 2014  sparse part has weight 218928139 (68.10/col)
Sun Jan  5 13:22:57 2014  matrix starts at (0, 0)
Sun Jan  5 13:22:58 2014  matrix is 3214665 x 3214847 (970.0 MB) with weight 285934005 (88.94/col)
Sun Jan  5 13:22:58 2014  sparse part has weight 218928139 (68.10/col)
Sun Jan  5 13:22:58 2014  saving the first 48 matrix rows for later
Sun Jan  5 13:22:58 2014  matrix includes 64 packed rows
Sun Jan  5 13:22:58 2014  matrix is 3214617 x 3214847 (924.2 MB) with weight 228529852 (71.09/col)
Sun Jan  5 13:22:58 2014  sparse part has weight 210118131 (65.36/col)
Sun Jan  5 13:22:58 2014  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
Sun Jan  5 13:23:05 2014  commencing Lanczos iteration (4 threads)
Sun Jan  5 13:23:05 2014  memory use: 750.4 MB
Sun Jan  5 13:23:10 2014  linear algebra at 0.0%, ETA 2h56m
Sun Jan  5 13:23:12 2014  checkpointing every 1050000 dimensions
Sun Jan  5 16:49:15 2014  lanczos halted after 50835 iterations (dim = 3214617)
Sun Jan  5 16:49:17 2014  recovered 37 nontrivial dependencies
Sun Jan  5 16:49:17 2014  BLanczosTime: 11167
Sun Jan  5 16:49:17 2014  elapsed time 03:06:09
Sun Jan  5 16:49:26 2014  
Sun Jan  5 16:49:26 2014  
Sun Jan  5 16:49:26 2014  Msieve v. 1.52 (SVN 956M)
Sun Jan  5 16:49:26 2014  random seeds: 71554ada c3c9de04
Sun Jan  5 16:49:26 2014  factoring 759234924806541100890640969484596291429405752664622572638341363702730325594977368958972112717184990509563439918236238866987881442546357132428091692217842020732953715870930062782888012848591035187618630457 (204 digits)
Sun Jan  5 16:49:26 2014  searching for 15-digit factors
Sun Jan  5 16:49:28 2014  commencing number field sieve (204-digit input)
Sun Jan  5 16:49:28 2014  R0: 100000000000000000000000000000000000000000
Sun Jan  5 16:49:28 2014  R1: -1
Sun Jan  5 16:49:28 2014  A0: -7
Sun Jan  5 16:49:28 2014  A1: 0
Sun Jan  5 16:49:28 2014  A2: 0
Sun Jan  5 16:49:28 2014  A3: 0
Sun Jan  5 16:49:28 2014  A4: 0
Sun Jan  5 16:49:28 2014  A5: 520
Sun Jan  5 16:49:28 2014  skew 0.42, size 1.686e-14, alpha 0.572, combined = 6.570e-12 rroots = 1
Sun Jan  5 16:49:28 2014  
Sun Jan  5 16:49:28 2014  commencing square root phase
Sun Jan  5 16:49:28 2014  reading relations for dependency 1
Sun Jan  5 16:49:28 2014  read 1608170 cycles
Sun Jan  5 16:49:30 2014  cycles contain 5163440 unique relations
Sun Jan  5 16:50:07 2014  read 5163440 relations
Sun Jan  5 16:50:23 2014  multiplying 5163440 relations
Sun Jan  5 16:52:48 2014  multiply complete, coefficients have about 166.79 million bits
Sun Jan  5 16:52:48 2014  initial square root is modulo 967481
Sun Jan  5 16:55:32 2014  GCD is 1, no factor found
Sun Jan  5 16:55:32 2014  reading relations for dependency 2
Sun Jan  5 16:55:32 2014  read 1607990 cycles
Sun Jan  5 16:55:33 2014  cycles contain 5163974 unique relations
Sun Jan  5 16:56:10 2014  read 5163974 relations
Sun Jan  5 16:56:26 2014  multiplying 5163974 relations
Sun Jan  5 16:58:53 2014  multiply complete, coefficients have about 166.80 million bits
Sun Jan  5 16:58:54 2014  initial square root is modulo 968801
Sun Jan  5 17:01:40 2014  GCD is N, no factor found
Sun Jan  5 17:01:40 2014  reading relations for dependency 3
Sun Jan  5 17:01:40 2014  read 1606195 cycles
Sun Jan  5 17:01:42 2014  cycles contain 5161118 unique relations
Sun Jan  5 17:02:20 2014  read 5161118 relations
Sun Jan  5 17:02:35 2014  multiplying 5161118 relations
Sun Jan  5 17:05:03 2014  multiply complete, coefficients have about 166.71 million bits
Sun Jan  5 17:05:03 2014  initial square root is modulo 961661
Sun Jan  5 17:07:49 2014  sqrtTime: 1101
Sun Jan  5 17:07:49 2014  prp98 factor: 37792540798959570043614383998733132751418026017848370025526379682338651365422746888263462944779459
Sun Jan  5 17:07:49 2014  prp107 factor: 20089544358643461850850506576171184698992425976597251689302789198942527219412436787730502679831621124823123
Sun Jan  5 17:07:49 2014  elapsed time 00:18:23

ggnfs 64 bit, msieve

Linux, I7 4770K @ 4.0Ghz

58505390642651922716618149594518322493379007215608333594512787031812340441404605898633758915094179421878590463265708104038564751050810275082354878821078796640062525729387889958337014753<185>

5415118049819430479398878425545200002624390237228231057302490212754119<70>
10804084066939743076721970058559696390558333126274665325420130113889489751630458374536583030548842270177529898865687<116>

Number: n
N=58505390642651922716618149594518322493379007215608333594512787031812340441404605898633758915094179421878590463265708104038564751050810275082354878821078796640062525729387889958337014753  ( 185 digits)
SNFS difficulty: 208 digits.
Divisors found:

Mon Sep 16 23:26:40 2024  prp70 factor: 5415118049819430479398878425545200002624390237228231057302490212754119
Mon Sep 16 23:26:40 2024  prp116 factor: 10804084066939743076721970058559696390558333126274665325420130113889489751630458374536583030548842270177529898865687
Mon Sep 16 23:26:40 2024  elapsed time 03:40:31 (Msieve 1.44 - dependency 3)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.136).
Factorization parameters were as follows:
#
# N = 52x10^207-7 = 57(207)
#
n: 58505390642651922716618149594518322493379007215608333594512787031812340441404605898633758915094179421878590463265708104038564751050810275082354878821078796640062525729387889958337014753
m: 100000000000000000000000000000000000000000
deg: 5
c5: 5200
c0: -7
skew: 0.27
# Murphy_E = 6.368e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 27
lpba: 27
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
q0: 50000
qintsize: 50000
Factor base limits: 21000000/21000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 57/57
Sieved  special-q in [50000, 59650000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8151181 hash collisions in 26589525 relations (16511109 unique)
Msieve: matrix is 2576725 x 2576952 (727.5 MB)

Sieving start time: 2024/09/15 12:31:33
Sieving end time  : 2024/09/16 19:40:09

Total sieving time: 31hrs 8min 36secs.

Total relation processing time: 3hrs 24min 12sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 10min 24sec.

Prototype def-par.txt line would be:
snfs,208,5,0,0,0,0,0,0,0,0,21000000,21000000,27,27,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

264186764019643643985333719184415691158785149331996803466616977449682554583121197586363548720394273559020110227422817930215891277034348660374085983976661<153>

106574592693351891232482097414679186231675709640351065983852800379546976198679149063378896793432316440832943582752110521392471298181910362857597423897411202474396386834094123449<177>

825797469192685977157432074497281<33>

129056574607259421190707573217518817018309180430555232726345519490935113682998691511258507145354180881692674193799649836529832807234115788678329<144>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4056606462
Step 1 took 10561ms
Step 2 took 6334ms
********** Factor found in step 2: 825797469192685977157432074497281
Found probable prime factor of 33 digits: 825797469192685977157432074497281
Composite cofactor 129056574607259421190707573217518817018309180430555232726345519490935113682998691511258507145354180881692674193799649836529832807234115788678329 has 144 digits

GMP-ECM 6.3

129056574607259421190707573217518817018309180430555232726345519490935113682998691511258507145354180881692674193799649836529832807234115788678329<144>

1559212862458770040446190788317194193<37>
82770337337870722478986173399678382608826867507338655569955179975764880228382018740045025425330977879707753<107>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1941291347
Step 1 took 6583ms
Step 2 took 5086ms
********** Factor found in step 2: 1559212862458770040446190788317194193
Found probable prime factor of 37 digits: 1559212862458770040446190788317194193
Probable prime cofactor 82770337337870722478986173399678382608826867507338655569955179975764880228382018740045025425330977879707753 has 107 digits

GMP-ECM 6.3

10351098736508058847008532595847442225455660565305854771154025269320584492702491906871436261299454786839339187512573682858649439793748991972547000964137916746468255285733955382557<179>

30681619445497555756005576049706434892341634214690916974497231249939427241347585649898939282833955590245968439228330818886015152446236374145355504474002058218990628182605571686311511<182>

6419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753<214>

17026752761370736288790671141662154081<38>

377039190995038080592096267322253434968963869896185394444041011423023240899874054378092563790599881557092791495525612588897918812849028782777179586273589472136090220448949760713<177>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3059108962
Step 1 took 34057ms
Step 2 took 11120ms
********** Factor found in step 2: 17026752761370736288790671141662154081
Found probable prime factor of 38 digits: 17026752761370736288790671141662154081

59626189657149409471390895539502350647861483774796468294920307304208233000802660245384703589037954363031762412567366127737644765508542598325880059626189657149409471390895539502350647861483774796468294920307304208233<215>

67358512524195225302175158210771711550536322806530094637289891661<65>
885206448639014111358703277040359476946139004655797959641915548534657327477603045204013564508489158523598024982855618669176046858044594776180368538253<150>

Number: n
N=59626189657149409471390895539502350647861483774796468294920307304208233000802660245384703589037954363031762412567366127737644765508542598325880059626189657149409471390895539502350647861483774796468294920307304208233
  ( 215 digits)
SNFS difficulty: 218 digits.
Divisors found:

Mon Nov 13 04:21:17 2017  p65 factor: 67358512524195225302175158210771711550536322806530094637289891661
Mon Nov 13 04:21:17 2017  p150 factor: 885206448639014111358703277040359476946139004655797959641915548534657327477603045204013564508489158523598024982855618669176046858044594776180368538253
Mon Nov 13 04:21:17 2017  elapsed time 06:31:04 (Msieve 1.53 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.759).
Factorization parameters were as follows:
#
# 52x10^217-7 57(217)
#
n: 59626189657149409471390895539502350647861483774796468294920307304208233000802660245384703589037954363031762412567366127737644765508542598325880059626189657149409471390895539502350647861483774796468294920307304208233
m: 1000000000000000000000000000000000000
deg: 6
c6: 520
c0: -7
skew: 0.49
# Murphy_E = 3.171e-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, 57900000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 13119963 hash collisions in 70650003 relations (59868913 unique)
Msieve: matrix is 3853528 x 3853755 (1095.3 MB)

Sieving start time: 2017/11/11 10:50:34
Sieving end time  : 2017/11/12 21:48:23

Total sieving time: 34hrs 57min 49secs.

Total relation processing time: 6hrs 0min 44sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 7sec.

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) ----------
[    0.068000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16297368K/16703460K available (9281K kernel code, 2477K rwdata, 3992K rodata, 2324K init, 2384K bss, 406092K reserved, 0K cma-reserved)
[    0.100635] x86/mm: Memory block size: 128MB
[    0.008000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.86 BogoMIPS (lpj=11977728)
[    0.098232] smpboot: Total of 16 processors activated (95821.82 BogoMIPS)

445227165868516922812481927836809935218673936640607609586973805976308966421621020781547773387710711539251098587606859654839291034159403559492208482309812927064909286672677153121369<180>

379635653054700269092374123073127015160830413<45>
1172774902162220838829976048550943444528058482536730025131088690986326084357856400666165518679295038763935714427502862914989899015502013<136>

Number: 57777_218
N = 445227165868516922812481927836809935218673936640607609586973805976308966421621020781547773387710711539251098587606859654839291034159403559492208482309812927064909286672677153121369 (180 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=379635653054700269092374123073127015160830413 (pp45)
r2=1172774902162220838829976048550943444528058482536730025131088690986326084357856400666165518679295038763935714427502862914989899015502013 (pp136)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 39.72 hours.
Factorization parameters were as follows:
n: 445227165868516922812481927836809935218673936640607609586973805976308966421621020781547773387710711539251098587606859654839291034159403559492208482309812927064909286672677153121369
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 13
c0: -175
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: 33355609
Relations: 7709008 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 17.25 hours.
Total relation processing time: 0.27 hours.
Pruned matrix : 6785522 x 6785747
Matrix solve time: 21.85 hours.
time per square root: 0.35 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 39.72 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

3230673773144481118566259890683686202026361300430339156924633364000423277262342216512092168577498004833402628411910934320838350427064035902304815730997615945258611533750420216103951881484390567<193>

22982756675969501133038177511691402397<38>
140569463389151896180874852128470187192077663151676199503241205257525021554216383696089684408130000482420745152203872271274011862514890350049887721500558611<156>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=342572392
Step 1 took 69251ms
Step 2 took 23127ms
********** Factor found in step 2: 22982756675969501133038177511691402397
Found probable prime factor of 38 digits: 22982756675969501133038177511691402397

4859874501248520694656770456006080886589851393457587198687745910467004811528977193149291160697441707108857641963516851107014979401923273915467583812439615421989166419760604778526162359859739442808061666367195083<211>

200268692528410356344584680287950120553566139<45>
24266771005952880443583130072471388438791385971815898991459962193219725651361208665370424248474688563244156875723313121550814501170137676272064846495550395872329416497<167>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3292069308
Step 1 took 435274ms
Step 2 took 116698ms
********** Factor found in step 2: 200268692528410356344584680287950120553566139
Found probable prime factor of 45 digits: 200268692528410356344584680287950120553566139

207809876997340728272246944008107496338966270752084637426809083437784426568858279804496324294980045234598819788395132408099598605557391532155935983300435220800272785104064546884091577757131613227166799014566599<210>

2438574314122552998223623676900987118150795370121<49>
68056420065563401982333480728369916262690698155984866272517063751<65>
1252163643428641214860314935920583139436940498191771978218100784345251043530928654128137869664569<97>

GMP-ECM 6.2.3 [powered by GMP 6.1.2] [ECM]
Input number is 207809876997340728272246944008107496338966270752084637426809083437784426568858279804496324294980045234598819788395132408099598605557391532155935983300435220800272785104064546884091577757131613227166799014566599 (210 digits)
Using B1=50990000, B2=288592384096, polynomial Dickson(12), sigma=928930434
Step 1 took 283522ms
Step 2 took 70710ms
********** Factor found in step 2: 2438574314122552998223623676900987118150795370121
Found probable prime factor of 49 digits: 2438574314122552998223623676900987118150795370121
Composite cofactor 85217774908005954849619123757072864288955462843291951387112806696358291533318138284139726125646747121056423118530801166332143522377949085585637563050679158938319 has 161 digits



Number: n
N=207809876997340728272246944008107496338966270752084637426809083437784426568858279804496324294980045234598819788395132408099598605557391532155935983300435220800272785104064546884091577757131613227166799014566599  ( 210 digits)
SNFS difficulty: 224 digits.
Divisors found:

Thu May 28 17:49:17 2020  found factor: 2438574314122552998223623676900987118150795370121
Thu May 28 18:00:02 2020  p49 factor: 2438574314122552998223623676900987118150795370121
Thu May 28 18:00:02 2020  p65 factor: 68056420065563401982333480728369916262690698155984866272517063751
Thu May 28 18:00:02 2020  p97 factor: 1252163643428641214860314935920583139436940498191771978218100784345251043530928654128137869664569
Thu May 28 18:00:02 2020  elapsed time 13:22:39 (Msieve 1.54 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.127).
Factorization parameters were as follows:
#
# N = 52x10^223-7 = 57(223)
#
n: 207809876997340728272246944008107496338966270752084637426809083437784426568858279804496324294980045234598819788395132408099598605557391532155935983300435220800272785104064546884091577757131613227166799014566599
m: 10000000000000000000000000000000000000
deg: 6
c6: 520
c0: -7
skew: 0.49
# Murphy_E = 1.986e-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, 95500000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9137216 hash collisions in 55819754 relations (48789017 unique)
Msieve: matrix is 5333201 x 5333426 (1877.1 MB)

Sieving start time: 2020/05/26 04:43:46
Sieving end time  : 2020/05/28 04:35:46

Total sieving time: 47hrs 52min 0secs.

Total relation processing time: 12hrs 40min 35sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 21min 37sec.

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) ----------
[    0.149558] 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)

4346355613927705766531725411593870326245523643838590048911711652980036135422921993364225636839025830968746214596888954534077946409484018855583932700364053522352750729613885974156747774473445209790492981500401<208>

70099827671855699433692369372746167974370323614000432261695629440040040089560957581377510889546466413132955469608206126342651588444821564703655178194992157015785574134265414866490726125420380110298029060373<206>

10669007656218707996906445340114697857911469920802796967969317352674789941211535285556078893788016847201135334609909591546955709461613480343391780664944758947219122633811157060291041<182>

3295178819461331022427789654097783<34>
3237762877452213781747021280128874997669851238880514115386259827839984433215645082315040654180036746968793934397287496555525072227003691798463252327<148>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3342113041
Step 1 took 10233ms
Step 2 took 6396ms
********** Factor found in step 2: 3295178819461331022427789654097783
Found probable prime factor of 34 digits: 3295178819461331022427789654097783
Probable prime cofactor 3237762877452213781747021280128874997669851238880514115386259827839984433215645082315040654180036746968793934397287496555525072227003691798463252327 has 148 digits

GMP-ECM 6.3

636369809818312380796155660607973275600885156139390589997174640423216273473953683512219946343500454692348055663218313283951770364289775251683341942070693269714953930558322846387193361076854222839305131650656520092709780501<222>

124948700140583976928083068956657777112804408067989410285898998314347816017970929992787214885833022383897296544775277589884136741311980311133742927470614839787075612641448233643488325026161<189>

393550364336416558034894393797468724934824066493892451930010959375847666433357649811022944333654736084094292582036901938229526746512469997618756327496015264937224129275162035943079568374732402860041601<201>

466622938068420907097876890901399<33>
843401239479380844715870906245407571804291635263656504651724822541169698181598406158571742438622980096449621488798367043316133559489794065986718522938055028349948856999<168>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4222949778
Step 1 took 11872ms
Step 2 took 7129ms
********** Factor found in step 2: 466622938068420907097876890901399
Found probable prime factor of 33 digits: 466622938068420907097876890901399
Probable prime cofactor 843401239479380844715870906245407571804291635263656504651724822541169698181598406158571742438622980096449621488798367043316133559489794065986718522938055028349948856999 has 168 digits

GMP-ECM 6.3

52689603944872284783356710068613227153292910793484071903226353207253134122941823343591672849833993269827332491455538269301269302390709417130734510316902081022010192921036443391686216637326288962120906887895429223375609781317<224>

2969121470456720881068530359472039761526377<43>
17745856634409565434846742223074997918195039167277840908998680453389794271064420274685267326298980754304440649570078387980384604326501739373838441024511843069829899514403453941476221<182>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1270692986
Step 1 took 426254ms
Step 2 took 138795ms
********** Factor found in step 2: 2969121470456720881068530359472039761526377
Found probable prime factor of 43 digits: 2969121470456720881068530359472039761526377

162280236113327912150563612221047572702115286435868953561967933503764682196816198116122289962284370392522852808860320260902490980388316677923706465903271368915418827468618414038127277553704784966477938542215403944751254026769<225>

135479882377698828803407106738828154236357<42>

1197817958395575456323962118800211091359309800712015260808908446481101940970869826461742969432758952372871861389853280185125448807330709788174089380373885095949466265328332471891889117<184>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1826376105
Step 1 took 114237ms
Step 2 took 47986ms
********** Factor found in step 2: 135479882377698828803407106738828154236357
Found probable prime factor of 42 digits: 135479882377698828803407106738828154236357

158929747463717426939200751659200005298581644810956228128892765908878513224162400472018182251852884936351222729561754574616477172578528048431207755114781318276676159333920061209343829166712171591972952436853<207>

69569033217875495512128424435320198164715389071507601085812064608226003031604409071266785201596341739145558485482146846850462700964200043079285954145979913279524361871353478919914001972014518522086161247640338801191771053663144065427<233>

566414307661337877819811633098398517868685630837019821871698407126573835607417268120842884999099862589825771514147427222450516222389300450370401093205261897639636742633175750366039738219312168021219296096617599236666488012916877<228>

646142045030730145029579095764226937556976063163277<51>
876609581465016006266970384260477904278234062248733925139149622773972434970962186742116535214830232316651475997691914070504601651555842932039352752612877976360538620238027116801<177>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2697599047
Step 1 took 441864ms
Step 2 took 114387ms
********** Factor found in step 2: 646142045030730145029579095764226937556976063163277
Found probable prime factor of 51 digits: 646142045030730145029579095764226937556976063163277

577777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<243>

1299134495060853968738667536178669217581650668799<49>

444740540701841306135966953871164177206556151412975750728618977729959087116636982090811621348202906910951868411408746573523974036278269386545189363700509574678757888518581433860209570605168084623<195>

Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=1855225058
Step 1 took 1321240ms
Step 2 took 308121ms
********** Factor found in step 2: 1299134495060853968738667536178669217581650668799
Found probable prime factor of 49 digits: 1299134495060853968738667536178669217581650668799

2635727283325476838546497777372281272650781341078316581258965274293042186842652149891783120194232825955831293179041913132511189169188348057925175757391440982518031922712366122794479165082695943514336835809396367765055324929418264576332182737<241>

46008546839064571654437321654841<32>

57287775085466390861904092848594879906769019349988140870635217582272762007445233597847873940747909722856897078345320390909971472743105280135801678238456267552800230704378160654362783882852222764195502685824857<209>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=557433435
Step 1 took 13104ms
Step 2 took 7207ms
********** Factor found in step 2: 46008546839064571654437321654841
Found probable prime factor of 32 digits: 46008546839064571654437321654841
Composite cofactor 57287775085466390861904092848594879906769019349988140870635217582272762007445233597847873940747909722856897078345320390909971472743105280135801678238456267552800230704378160654362783882852222764195502685824857 has 209 digits

GMP-ECM 6.3

57287775085466390861904092848594879906769019349988140870635217582272762007445233597847873940747909722856897078345320390909971472743105280135801678238456267552800230704378160654362783882852222764195502685824857<209>

87833466646100640748992210303346227330992843<44>
652231743468475256231945973787624543644926737004796233273858124458824633955562571231738923341264743675970338760373308903342725380813477859041018205794879501924113899<165>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4139602741
Step 1 took 26744ms
Step 2 took 10282ms
********** Factor found in step 2: 87833466646100640748992210303346227330992843
Found probable prime factor of 44 digits: 87833466646100640748992210303346227330992843

180674122948740666618023633565082641038737226860682878694698951742636660864247718120572181049369204095743387153374957871658831663834947239681596603326488563675467581155688976446348471740135019161880539659707238430775752142899333242996271858963<243>

564254366723581376981247232908793013760081688754029490991029600184015502159535471863242780284266206559766702000600642262749944026780649434271030446305140495197640308204285728285113148023800592081438902195905789195872887740770145988978899071<240>

98277846075396702355610913652390216660849292936384014590749493414500513244351437768428516442140174846275409184132938994803363084905542873353889458677679895198404338132811194700925693660483359061202261434139958769141526461<221>

4012662158352732880895462829806633117<37>

24491931340599442724165515742433785585622393933280776042161896152889491081508569413277545626770750939415572281114660458674561023161712590348811784179327559185107248407707488759071420833<185>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=790433040
Step 1 took 30544ms
Step 2 took 11457ms
********** Factor found in step 2: 4012662158352732880895462829806633117
Found probable prime factor of 37 digits: 4012662158352732880895462829806633117

24491931340599442724165515742433785585622393933280776042161896152889491081508569413277545626770750939415572281114660458674561023161712590348811784179327559185107248407707488759071420833<185>

18564194245840162266491675549099881793491769611<47>
1319310227864457903538665750942037896170130271120258584554752604054442021583358885534204752426525420132636348929560641880890489044722992003<139>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=333961493
Step 1 took 327544ms
Step 2 took 93120ms
********** Factor found in step 2: 18564194245840162266491675549099881793491769611
Found probable prime factor of 47 digits: 18564194245840162266491675549099881793491769611

2491924215583358469826496992511680559161166046730343195780003307646441131846415897636570570201530417822464395286380154040619244283410171874956552102508686648277540478722195323301785114779<187>

51940196437338181369866838963496041511<38>

47976796133023327464093801253274747706907124303740108006464473259904297117577607944012460865059629817784994690745214115057277762855395949211654497389<149>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2167044063
Step 1 took 8643ms
Step 2 took 5319ms
********** Factor found in step 2: 51940196437338181369866838963496041511
Found probable prime factor of 38 digits: 51940196437338181369866838963496041511
Composite cofactor 47976796133023327464093801253274747706907124303740108006464473259904297117577607944012460865059629817784994690745214115057277762855395949211654497389 has 149 digits

GMP-ECM 6.3

47976796133023327464093801253274747706907124303740108006464473259904297117577607944012460865059629817784994690745214115057277762855395949211654497389<149>

14504785789067769969717867680134541811066182671217<50>
3307652855458461809224734820634829893189752252240849193840529160165480331778508355429835823891645117<100>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2949279053
Step 1 took 176759ms
Step 2 took 56177ms
********** Factor found in step 2: 14504785789067769969717867680134541811066182671217
Found probable prime factor of 50 digits: 14504785789067769969717867680134541811066182671217

33554025865737273316091704778845520722198314122196126497406008015887047412337086251648656249468128361885982658539300684514175964776077696475880066479715503583737479562031873290829738146600258965431915400858620032992860792599203679489833<236>

6524347944344744535004538844153474876842435943217268024214666884897638439547948067222746842810127568034455829460594548435298016790517180206019533059785316749307921646735609858489<178>

75133688740958925687857791033052620801692948013573629526846704688098457452991119400309262762004076429956000542973730018993830891624251157089613552748831126589945767901397112823922042873856127531557691995334933479<212>

449697718330849930262254025638866456354474778397815357382649919018031676134358116226291600399325948839495392335429646043548384051521603330502741309563429436718658659186329498649129631937183453061822071<201>

5777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<256>

13673016161914360140667655657257603191064923453775435623632914840245914282036223284913224366155547588017738503060276839<119>
422567903771776908809826386912653072721147000683772472000697418939402473873674005697179572322067040324590361038098341916779205823483498343<138>

Sieving by NFS@home; filtering, linear algebra and square root by Dmitry Domanov.

Tue Nov  7 18:29:01 2023  
Tue Nov  7 18:29:01 2023  
Tue Nov  7 18:29:01 2023  Msieve v. 1.54 (SVN Unversioned directory)
Tue Nov  7 18:29:01 2023  random seeds: 755313dd b103a2e5
Tue Nov  7 18:29:01 2023  Using 4 OpenMP threads
Tue Nov  7 18:29:01 2023  factoring 5777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777 (256 digits)
Tue Nov  7 18:29:02 2023  searching for 15-digit factors
Tue Nov  7 18:29:03 2023  commencing number field sieve (256-digit input)
Tue Nov  7 18:29:03 2023  R0: -2000000000000000000000000000000000000000000
Tue Nov  7 18:29:03 2023  R1: 1
Tue Nov  7 18:29:03 2023  A0: -14
Tue Nov  7 18:29:03 2023  A1: 0
Tue Nov  7 18:29:03 2023  A2: 0
Tue Nov  7 18:29:03 2023  A3: 0
Tue Nov  7 18:29:03 2023  A4: 0
Tue Nov  7 18:29:03 2023  A5: 0
Tue Nov  7 18:29:03 2023  A6: 1625
Tue Nov  7 18:29:03 2023  skew 1.00, size 9.439e-13, alpha -0.723, combined = 1.112e-13 rroots = 2
Tue Nov  7 18:29:03 2023  
Tue Nov  7 18:29:03 2023  commencing relation filtering
Tue Nov  7 18:29:03 2023  setting target matrix density to 136.0
Tue Nov  7 18:29:03 2023  estimated available RAM is 15729.3 MB
Tue Nov  7 18:29:03 2023  commencing duplicate removal, pass 1
Tue Nov  7 18:31:49 2023  error -1 reading relation 15764956
Tue Nov  7 18:35:12 2023  error -1 reading relation 34761185
Tue Nov  7 18:36:39 2023  error -1 reading relation 42912590
Tue Nov  7 18:36:51 2023  error -1 reading relation 44044338
Tue Nov  7 18:38:01 2023  error -1 reading relation 50530063
Tue Nov  7 18:41:47 2023  error -1 reading relation 71613087
Tue Nov  7 18:45:22 2023  error -1 reading relation 91447991
Tue Nov  7 18:45:37 2023  error -1 reading relation 92843366
Tue Nov  7 18:45:37 2023  error -1 reading relation 92844208
Tue Nov  7 18:45:37 2023  error -1 reading relation 92849348
Tue Nov  7 18:46:09 2023  error -1 reading relation 95798573
Tue Nov  7 18:49:30 2023  error -1 reading relation 114369134
Tue Nov  7 18:53:51 2023  error -1 reading relation 138281834
Tue Nov  7 18:55:18 2023  error -1 reading relation 146299512
Tue Nov  7 18:57:49 2023  error -1 reading relation 160152147
Tue Nov  7 18:57:58 2023  error -1 reading relation 161017378
Tue Nov  7 18:58:29 2023  error -1 reading relation 163790903
Tue Nov  7 18:58:33 2023  error -1 reading relation 164198045
Tue Nov  7 19:00:52 2023  error -1 reading relation 176909583
Tue Nov  7 19:00:55 2023  error -11 reading relation 177206742
Tue Nov  7 19:00:57 2023  error -5 reading relation 177351089
Tue Nov  7 19:03:20 2023  error -1 reading relation 190292491
Tue Nov  7 19:03:26 2023  error -1 reading relation 190855086
Tue Nov  7 19:03:53 2023  error -1 reading relation 193313838
Tue Nov  7 19:06:12 2023  error -1 reading relation 206022875
Tue Nov  7 19:07:28 2023  error -1 reading relation 212793765
Tue Nov  7 19:08:30 2023  error -1 reading relation 218434551
Tue Nov  7 19:09:55 2023  error -1 reading relation 226257756
Tue Nov  7 19:10:16 2023  error -1 reading relation 228246599
Tue Nov  7 19:10:32 2023  error -5 reading relation 229633159
Tue Nov  7 19:11:15 2023  error -1 reading relation 233595457
Tue Nov  7 19:11:21 2023  error -1 reading relation 234164926
Tue Nov  7 19:11:30 2023  error -1 reading relation 234966473
Tue Nov  7 19:12:18 2023  error -1 reading relation 239533104
Tue Nov  7 19:12:32 2023  error -1 reading relation 240884111
Tue Nov  7 19:14:19 2023  error -1 reading relation 251110466
Tue Nov  7 19:18:22 2023  error -1 reading relation 273302932
Tue Nov  7 19:18:53 2023  error -1 reading relation 276053606
Tue Nov  7 19:18:56 2023  error -1 reading relation 276373759
Tue Nov  7 19:19:25 2023  skipped 2657 relations with b > 2^32
Tue Nov  7 19:19:25 2023  skipped 4 relations with composite factors
Tue Nov  7 19:19:25 2023  skipped 419 malformed relations
Tue Nov  7 19:19:25 2023  found 57724961 hash collisions in 278876659 relations
Tue Nov  7 19:19:43 2023  commencing duplicate removal, pass 2
Tue Nov  7 19:29:58 2023  found 57955094 duplicates and 220921565 unique relations
Tue Nov  7 19:29:58 2023  memory use: 1449.5 MB
Tue Nov  7 19:29:58 2023  reading ideals above 181993472
Tue Nov  7 19:29:58 2023  commencing singleton removal, initial pass
Tue Nov  7 20:08:11 2023  memory use: 5512.0 MB
Tue Nov  7 20:08:11 2023  reading all ideals from disk
Tue Nov  7 20:08:14 2023  memory use: 5495.1 MB
Tue Nov  7 20:08:26 2023  commencing in-memory singleton removal
Tue Nov  7 20:08:38 2023  begin with 220921565 relations and 165902590 unique ideals
Tue Nov  7 20:09:38 2023  reduce to 166173110 relations and 107032550 ideals in 12 passes
Tue Nov  7 20:09:38 2023  max relations containing the same ideal: 41
Tue Nov  7 20:09:50 2023  reading ideals above 720000
Tue Nov  7 20:09:50 2023  commencing singleton removal, initial pass
Tue Nov  7 20:50:44 2023  memory use: 3012.0 MB
Tue Nov  7 20:50:44 2023  reading all ideals from disk
Tue Nov  7 20:50:52 2023  memory use: 8085.5 MB
Tue Nov  7 20:51:18 2023  keeping 126423029 ideals with weight <= 200, target excess is 875062
Tue Nov  7 20:51:50 2023  commencing in-memory singleton removal
Tue Nov  7 20:52:09 2023  begin with 166173110 relations and 126423029 unique ideals
Tue Nov  7 20:52:58 2023  reduce to 166170660 relations and 126420579 ideals in 5 passes
Tue Nov  7 20:52:58 2023  max relations containing the same ideal: 200
Tue Nov  7 20:54:33 2023  removing 9600589 relations and 7600589 ideals in 2000000 cliques
Tue Nov  7 20:54:42 2023  commencing in-memory singleton removal
Tue Nov  7 20:54:59 2023  begin with 156570071 relations and 126420579 unique ideals
Tue Nov  7 20:56:05 2023  reduce to 156113550 relations and 118356072 ideals in 8 passes
Tue Nov  7 20:56:05 2023  max relations containing the same ideal: 199
Tue Nov  7 20:57:30 2023  removing 7430184 relations and 5430184 ideals in 2000000 cliques
Tue Nov  7 20:57:35 2023  commencing in-memory singleton removal
Tue Nov  7 20:57:52 2023  begin with 148683366 relations and 118356072 unique ideals
Tue Nov  7 20:58:44 2023  reduce to 148378014 relations and 112616354 ideals in 6 passes
Tue Nov  7 20:58:44 2023  max relations containing the same ideal: 195
Tue Nov  7 21:00:03 2023  removing 6798374 relations and 4798374 ideals in 2000000 cliques
Tue Nov  7 21:00:11 2023  commencing in-memory singleton removal
Tue Nov  7 21:00:27 2023  begin with 141579640 relations and 112616354 unique ideals
Tue Nov  7 21:01:23 2023  reduce to 141315092 relations and 107549854 ideals in 7 passes
Tue Nov  7 21:01:23 2023  max relations containing the same ideal: 190
Tue Nov  7 21:02:34 2023  removing 6474367 relations and 4474367 ideals in 2000000 cliques
Tue Nov  7 21:02:42 2023  commencing in-memory singleton removal
Tue Nov  7 21:02:57 2023  begin with 134840725 relations and 107549854 unique ideals
Tue Nov  7 21:03:50 2023  reduce to 134595043 relations and 102826541 ideals in 7 passes
Tue Nov  7 21:03:50 2023  max relations containing the same ideal: 186
Tue Nov  7 21:04:57 2023  removing 6271193 relations and 4271193 ideals in 2000000 cliques
Tue Nov  7 21:05:04 2023  commencing in-memory singleton removal
Tue Nov  7 21:05:18 2023  begin with 128323850 relations and 102826541 unique ideals
Tue Nov  7 21:06:08 2023  reduce to 128089161 relations and 98317349 ideals in 7 passes
Tue Nov  7 21:06:08 2023  max relations containing the same ideal: 181
Tue Nov  7 21:07:13 2023  removing 6134640 relations and 4134640 ideals in 2000000 cliques
Tue Nov  7 21:07:21 2023  commencing in-memory singleton removal
Tue Nov  7 21:07:33 2023  begin with 121954521 relations and 98317349 unique ideals
Tue Nov  7 21:08:14 2023  reduce to 121723955 relations and 93948780 ideals in 6 passes
Tue Nov  7 21:08:14 2023  max relations containing the same ideal: 175
Tue Nov  7 21:09:20 2023  removing 6037657 relations and 4037657 ideals in 2000000 cliques
Tue Nov  7 21:09:26 2023  commencing in-memory singleton removal
Tue Nov  7 21:09:38 2023  begin with 115686298 relations and 93948780 unique ideals
Tue Nov  7 21:10:11 2023  reduce to 115455288 relations and 89676609 ideals in 6 passes
Tue Nov  7 21:10:11 2023  max relations containing the same ideal: 169
Tue Nov  7 21:11:13 2023  removing 5965252 relations and 3965252 ideals in 2000000 cliques
Tue Nov  7 21:11:20 2023  commencing in-memory singleton removal
Tue Nov  7 21:11:31 2023  begin with 109490036 relations and 89676609 unique ideals
Tue Nov  7 21:12:12 2023  reduce to 109258271 relations and 85475829 ideals in 7 passes
Tue Nov  7 21:12:12 2023  max relations containing the same ideal: 165
Tue Nov  7 21:13:10 2023  removing 5918824 relations and 3918824 ideals in 2000000 cliques
Tue Nov  7 21:13:16 2023  commencing in-memory singleton removal
Tue Nov  7 21:13:27 2023  begin with 103339447 relations and 85475829 unique ideals
Tue Nov  7 21:13:59 2023  reduce to 103103829 relations and 81317398 ideals in 6 passes
Tue Nov  7 21:13:59 2023  max relations containing the same ideal: 158
Tue Nov  7 21:14:50 2023  removing 5879715 relations and 3879715 ideals in 2000000 cliques
Tue Nov  7 21:14:56 2023  commencing in-memory singleton removal
Tue Nov  7 21:15:06 2023  begin with 97224114 relations and 81317398 unique ideals
Tue Nov  7 21:15:38 2023  reduce to 96982352 relations and 77191583 ideals in 6 passes
Tue Nov  7 21:15:38 2023  max relations containing the same ideal: 152
Tue Nov  7 21:16:27 2023  removing 5858535 relations and 3858535 ideals in 2000000 cliques
Tue Nov  7 21:16:32 2023  commencing in-memory singleton removal
Tue Nov  7 21:16:42 2023  begin with 91123817 relations and 77191583 unique ideals
Tue Nov  7 21:17:11 2023  reduce to 90870298 relations and 73074805 ideals in 6 passes
Tue Nov  7 21:17:11 2023  max relations containing the same ideal: 147
Tue Nov  7 21:18:04 2023  removing 5847637 relations and 3847637 ideals in 2000000 cliques
Tue Nov  7 21:18:09 2023  commencing in-memory singleton removal
Tue Nov  7 21:18:18 2023  begin with 85022661 relations and 73074805 unique ideals
Tue Nov  7 21:18:35 2023  reduce to 84759324 relations and 68958701 ideals in 6 passes
Tue Nov  7 21:18:35 2023  max relations containing the same ideal: 141
Tue Nov  7 21:19:22 2023  removing 5845210 relations and 3845210 ideals in 2000000 cliques
Tue Nov  7 21:19:27 2023  commencing in-memory singleton removal
Tue Nov  7 21:19:35 2023  begin with 78914114 relations and 68958701 unique ideals
Tue Nov  7 21:20:00 2023  reduce to 78635531 relations and 64828826 ideals in 6 passes
Tue Nov  7 21:20:00 2023  max relations containing the same ideal: 134
Tue Nov  7 21:20:41 2023  removing 5856914 relations and 3856914 ideals in 2000000 cliques
Tue Nov  7 21:20:44 2023  commencing in-memory singleton removal
Tue Nov  7 21:20:51 2023  begin with 72778617 relations and 64828826 unique ideals
Tue Nov  7 21:21:13 2023  reduce to 72481004 relations and 60667640 ideals in 6 passes
Tue Nov  7 21:21:13 2023  max relations containing the same ideal: 125
Tue Nov  7 21:21:56 2023  removing 5872330 relations and 3872330 ideals in 2000000 cliques
Tue Nov  7 21:22:01 2023  commencing in-memory singleton removal
Tue Nov  7 21:22:07 2023  begin with 66608674 relations and 60667640 unique ideals
Tue Nov  7 21:22:28 2023  reduce to 66290513 relations and 56469644 ideals in 7 passes
Tue Nov  7 21:22:28 2023  max relations containing the same ideal: 122
Tue Nov  7 21:23:01 2023  removing 5897137 relations and 3897137 ideals in 2000000 cliques
Tue Nov  7 21:23:06 2023  commencing in-memory singleton removal
Tue Nov  7 21:23:11 2023  begin with 60393376 relations and 56469644 unique ideals
Tue Nov  7 21:23:29 2023  reduce to 60045289 relations and 52215538 ideals in 6 passes
Tue Nov  7 21:23:29 2023  max relations containing the same ideal: 114
Tue Nov  7 21:24:05 2023  removing 5933533 relations and 3933533 ideals in 2000000 cliques
Tue Nov  7 21:24:09 2023  commencing in-memory singleton removal
Tue Nov  7 21:24:14 2023  begin with 54111756 relations and 52215538 unique ideals
Tue Nov  7 21:24:25 2023  reduce to 53727207 relations and 47886782 ideals in 7 passes
Tue Nov  7 21:24:25 2023  max relations containing the same ideal: 105
Tue Nov  7 21:24:56 2023  removing 5979296 relations and 3979296 ideals in 2000000 cliques
Tue Nov  7 21:25:00 2023  commencing in-memory singleton removal
Tue Nov  7 21:25:04 2023  begin with 47747911 relations and 47886782 unique ideals
Tue Nov  7 21:25:22 2023  reduce to 47316046 relations and 43462184 ideals in 8 passes
Tue Nov  7 21:25:22 2023  max relations containing the same ideal: 93
Tue Nov  7 21:25:51 2023  removing 6034677 relations and 4034677 ideals in 2000000 cliques
Tue Nov  7 21:25:55 2023  commencing in-memory singleton removal
Tue Nov  7 21:25:58 2023  begin with 41281369 relations and 43462184 unique ideals
Tue Nov  7 21:26:07 2023  reduce to 40775879 relations and 38904060 ideals in 7 passes
Tue Nov  7 21:26:07 2023  max relations containing the same ideal: 82
Tue Nov  7 21:26:27 2023  removing 3045725 relations and 2188978 ideals in 856747 cliques
Tue Nov  7 21:26:30 2023  commencing in-memory singleton removal
Tue Nov  7 21:26:33 2023  begin with 37730154 relations and 38904060 unique ideals
Tue Nov  7 21:26:44 2023  reduce to 37570533 relations and 36552625 ideals in 7 passes
Tue Nov  7 21:26:44 2023  max relations containing the same ideal: 81
Tue Nov  7 21:27:17 2023  relations with 0 large ideals: 32399
Tue Nov  7 21:27:17 2023  relations with 1 large ideals: 13126
Tue Nov  7 21:27:17 2023  relations with 2 large ideals: 146491
Tue Nov  7 21:27:17 2023  relations with 3 large ideals: 964328
Tue Nov  7 21:27:17 2023  relations with 4 large ideals: 3441623
Tue Nov  7 21:27:17 2023  relations with 5 large ideals: 7342323
Tue Nov  7 21:27:17 2023  relations with 6 large ideals: 9858226
Tue Nov  7 21:27:17 2023  relations with 7+ large ideals: 15772017
Tue Nov  7 21:27:17 2023  commencing 2-way merge
Tue Nov  7 21:27:47 2023  reduce to 25702037 relation sets and 24684129 unique ideals
Tue Nov  7 21:27:47 2023  commencing full merge
Tue Nov  7 21:41:35 2023  memory use: 3415.7 MB
Tue Nov  7 21:41:38 2023  found 11413691 cycles, need 11390329
Tue Nov  7 21:41:43 2023  weight of 11390329 cycles is about 1549624796 (136.05/cycle)
Tue Nov  7 21:41:43 2023  distribution of cycle lengths:
Tue Nov  7 21:41:43 2023  1 relations: 292921
Tue Nov  7 21:41:43 2023  2 relations: 541865
Tue Nov  7 21:41:43 2023  3 relations: 690315
Tue Nov  7 21:41:43 2023  4 relations: 752545
Tue Nov  7 21:41:43 2023  5 relations: 799197
Tue Nov  7 21:41:43 2023  6 relations: 814080
Tue Nov  7 21:41:43 2023  7 relations: 814789
Tue Nov  7 21:41:43 2023  8 relations: 795755
Tue Nov  7 21:41:43 2023  9 relations: 764206
Tue Nov  7 21:41:43 2023  10+ relations: 5124656
Tue Nov  7 21:41:43 2023  heaviest cycle: 28 relations
Tue Nov  7 21:41:45 2023  commencing cycle optimization
Tue Nov  7 21:42:09 2023  start with 109505152 relations
Tue Nov  7 21:48:23 2023  pruned 6114951 relations
Tue Nov  7 21:48:23 2023  memory use: 2693.0 MB
Tue Nov  7 21:48:23 2023  distribution of cycle lengths:
Tue Nov  7 21:48:23 2023  1 relations: 292921
Tue Nov  7 21:48:23 2023  2 relations: 556694
Tue Nov  7 21:48:23 2023  3 relations: 722781
Tue Nov  7 21:48:23 2023  4 relations: 789485
Tue Nov  7 21:48:23 2023  5 relations: 847441
Tue Nov  7 21:48:23 2023  6 relations: 864268
Tue Nov  7 21:48:23 2023  7 relations: 870156
Tue Nov  7 21:48:23 2023  8 relations: 847351
Tue Nov  7 21:48:23 2023  9 relations: 813451
Tue Nov  7 21:48:23 2023  10+ relations: 4785781
Tue Nov  7 21:48:23 2023  heaviest cycle: 28 relations
Tue Nov  7 21:48:46 2023  RelProcTime: 11983
Tue Nov  7 21:48:46 2023  elapsed time 03:19:45
Tue Nov  7 21:53:03 2023  
Tue Nov  7 21:53:03 2023  
Tue Nov  7 21:53:03 2023  Msieve v. 1.54 (SVN Unversioned directory)
Tue Nov  7 21:53:03 2023  random seeds: 0da49268 ff527624
Tue Nov  7 21:53:03 2023  Using 4 OpenMP threads
Tue Nov  7 21:53:03 2023  factoring 5777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777 (256 digits)
Tue Nov  7 21:53:05 2023  searching for 15-digit factors
Tue Nov  7 21:53:06 2023  commencing number field sieve (256-digit input)
Tue Nov  7 21:53:06 2023  R0: -2000000000000000000000000000000000000000000
Tue Nov  7 21:53:06 2023  R1: 1
Tue Nov  7 21:53:06 2023  A0: -14
Tue Nov  7 21:53:06 2023  A1: 0
Tue Nov  7 21:53:06 2023  A2: 0
Tue Nov  7 21:53:06 2023  A3: 0
Tue Nov  7 21:53:06 2023  A4: 0
Tue Nov  7 21:53:06 2023  A5: 0
Tue Nov  7 21:53:06 2023  A6: 1625
Tue Nov  7 21:53:06 2023  skew 1.00, size 9.439e-13, alpha -0.723, combined = 1.112e-13 rroots = 2
Tue Nov  7 21:53:06 2023  
Tue Nov  7 21:53:06 2023  commencing linear algebra
Tue Nov  7 21:53:06 2023  using VBITS=256
Tue Nov  7 21:53:07 2023  read 11390329 cycles
Tue Nov  7 21:53:36 2023  cycles contain 37106486 unique relations
Tue Nov  7 22:08:10 2023  read 37106486 relations
Tue Nov  7 22:09:16 2023  using 20 quadratic characters above 4294917295
Tue Nov  7 22:11:14 2023  building initial matrix
Tue Nov  7 22:23:27 2023  memory use: 5102.2 MB
Tue Nov  7 22:23:36 2023  read 11390329 cycles
Tue Nov  7 22:23:38 2023  matrix is 11390152 x 11390329 (5905.6 MB) with weight 1696488221 (148.94/col)
Tue Nov  7 22:23:38 2023  sparse part has weight 1422831326 (124.92/col)
Tue Nov  7 22:26:45 2023  filtering completed in 2 passes
Tue Nov  7 22:26:48 2023  matrix is 11390097 x 11390264 (5905.6 MB) with weight 1696486131 (148.94/col)
Tue Nov  7 22:26:48 2023  sparse part has weight 1422830624 (124.92/col)
Tue Nov  7 22:27:23 2023  matrix starts at (0, 0)
Tue Nov  7 22:27:25 2023  matrix is 11390097 x 11390264 (5905.6 MB) with weight 1696486131 (148.94/col)
Tue Nov  7 22:27:25 2023  sparse part has weight 1422830624 (124.92/col)
Tue Nov  7 22:27:25 2023  saving the first 240 matrix rows for later
Tue Nov  7 22:27:30 2023  matrix includes 256 packed rows
Tue Nov  7 22:27:35 2023  matrix is 11389857 x 11390264 (5334.8 MB) with weight 1286426080 (112.94/col)
Tue Nov  7 22:27:35 2023  sparse part has weight 1216245634 (106.78/col)
Tue Nov  7 22:27:35 2023  using block size 8192 and superblock size 294912 for processor cache size 12288 kB
Tue Nov  7 22:28:11 2023  commencing Lanczos iteration (4 threads)
Tue Nov  7 22:28:11 2023  memory use: 7149.2 MB
Tue Nov  7 22:29:59 2023  lanczos halted after 6 iterations (dim = 1529)
Tue Nov  7 22:30:00 2023  BLanczosTime: 2214
Tue Nov  7 22:30:00 2023  elapsed time 00:36:57
Tue Nov  7 22:48:56 2023  
Tue Nov  7 22:48:56 2023  
Tue Nov  7 22:48:56 2023  Msieve v. 1.54 (SVN unknown)
Tue Nov  7 22:48:56 2023  random seeds: 7bf7edda 6d1ecc8a
Tue Nov  7 22:48:56 2023  factoring 5777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777 (256 digits)
Tue Nov  7 22:48:57 2023  no P-1/P+1/ECM available, skipping
Tue Nov  7 22:48:57 2023  commencing number field sieve (256-digit input)
Tue Nov  7 22:48:57 2023  R0: -2000000000000000000000000000000000000000000
Tue Nov  7 22:48:57 2023  R1: 1
Tue Nov  7 22:48:57 2023  A0: -14
Tue Nov  7 22:48:57 2023  A1: 0
Tue Nov  7 22:48:57 2023  A2: 0
Tue Nov  7 22:48:57 2023  A3: 0
Tue Nov  7 22:48:57 2023  A4: 0
Tue Nov  7 22:48:57 2023  A5: 0
Tue Nov  7 22:48:57 2023  A6: 1625
Tue Nov  7 22:48:57 2023  skew 1.00, size 9.439e-13, alpha -0.723, combined = 1.112e-13 rroots = 2
Tue Nov  7 22:48:57 2023  
Tue Nov  7 22:48:57 2023  commencing linear algebra
Tue Nov  7 22:48:57 2023  using VBITS=128
Tue Nov  7 22:48:57 2023  skipping matrix build
Tue Nov  7 22:49:03 2023  matrix starts at (0, 0)
Tue Nov  7 22:49:05 2023  matrix is 11390097 x 11390264 (5905.6 MB) with weight 1696486131 (148.94/col)
Tue Nov  7 22:49:05 2023  sparse part has weight 1422830624 (124.92/col)
Tue Nov  7 22:49:05 2023  saving the first 112 matrix rows for later
Tue Nov  7 22:49:08 2023  matrix includes 128 packed rows
Tue Nov  7 22:49:11 2023  matrix is 11389985 x 11390264 (5428.7 MB) with weight 1369840476 (120.26/col)
Tue Nov  7 22:49:11 2023  sparse part has weight 1286426080 (112.94/col)
Tue Nov  7 22:49:11 2023  using GPU 0 (Tesla P100-PCIE-16GB)
Tue Nov  7 22:49:11 2023  selected card has CUDA arch 6.0
Tue Nov  7 22:52:27 2023  commencing Lanczos iteration
Tue Nov  7 22:52:27 2023  memory use: 12378.2 MB
Tue Nov  7 22:52:34 2023  linear algebra at 0.0%, ETA 12h25m
Tue Nov  7 22:52:36 2023  checkpointing every 920000 dimensions
Wed Nov  8 09:08:49 2023  
Wed Nov  8 09:08:49 2023  
Wed Nov  8 09:08:49 2023  Msieve v. 1.54 (SVN unknown)
Wed Nov  8 09:08:49 2023  random seeds: 968f07cd 5cbf5f3c
Wed Nov  8 09:08:49 2023  factoring 5777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777 (256 digits)
Wed Nov  8 09:08:50 2023  no P-1/P+1/ECM available, skipping
Wed Nov  8 09:08:50 2023  commencing number field sieve (256-digit input)
Wed Nov  8 09:08:50 2023  R0: -2000000000000000000000000000000000000000000
Wed Nov  8 09:08:50 2023  R1: 1
Wed Nov  8 09:08:50 2023  A0: -14
Wed Nov  8 09:08:50 2023  A1: 0
Wed Nov  8 09:08:50 2023  A2: 0
Wed Nov  8 09:08:50 2023  A3: 0
Wed Nov  8 09:08:50 2023  A4: 0
Wed Nov  8 09:08:50 2023  A5: 0
Wed Nov  8 09:08:50 2023  A6: 1625
Wed Nov  8 09:08:50 2023  skew 1.00, size 9.439e-13, alpha -0.723, combined = 1.112e-13 rroots = 2
Wed Nov  8 09:08:50 2023  
Wed Nov  8 09:08:50 2023  commencing linear algebra
Wed Nov  8 09:08:50 2023  using VBITS=128
Wed Nov  8 09:08:50 2023  skipping matrix build
Wed Nov  8 09:08:56 2023  matrix starts at (0, 0)
Wed Nov  8 09:08:57 2023  matrix is 11390097 x 11390264 (5905.6 MB) with weight 1696486131 (148.94/col)
Wed Nov  8 09:08:57 2023  sparse part has weight 1422830624 (124.92/col)
Wed Nov  8 09:08:57 2023  saving the first 112 matrix rows for later
Wed Nov  8 09:09:01 2023  matrix includes 128 packed rows
Wed Nov  8 09:09:04 2023  matrix is 11389985 x 11390264 (5428.7 MB) with weight 1369840476 (120.26/col)
Wed Nov  8 09:09:04 2023  sparse part has weight 1286426080 (112.94/col)
Wed Nov  8 09:09:04 2023  using GPU 0 (Tesla P100-PCIE-16GB)
Wed Nov  8 09:09:04 2023  selected card has CUDA arch 6.0
Wed Nov  8 09:12:10 2023  commencing Lanczos iteration
Wed Nov  8 09:12:10 2023  memory use: 12378.2 MB
Wed Nov  8 09:12:11 2023  restarting at iteration 72307 (dim = 9200033)
Wed Nov  8 09:12:17 2023  linear algebra at 80.8%, ETA 2h23m
Wed Nov  8 09:12:19 2023  checkpointing every 920000 dimensions
Wed Nov  8 11:37:18 2023  lanczos halted after 89521 iterations (dim = 11389985)
Wed Nov  8 11:37:38 2023  recovered 35 nontrivial dependencies
Wed Nov  8 11:37:39 2023  BLanczosTime: 8929
Wed Nov  8 11:37:39 2023  elapsed time 02:28:50
Wed Nov  8 15:28:08 2023  
Wed Nov  8 15:28:08 2023  
Wed Nov  8 15:28:08 2023  Msieve v. 1.54 (SVN Unversioned directory)
Wed Nov  8 15:28:08 2023  random seeds: e233c05f cd2312dc
Wed Nov  8 15:28:08 2023  Using 4 OpenMP threads
Wed Nov  8 15:28:08 2023  factoring 5777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777 (256 digits)
Wed Nov  8 15:28:10 2023  searching for 15-digit factors
Wed Nov  8 15:28:10 2023  commencing number field sieve (256-digit input)
Wed Nov  8 15:28:10 2023  R0: -2000000000000000000000000000000000000000000
Wed Nov  8 15:28:10 2023  R1: 1
Wed Nov  8 15:28:10 2023  A0: -14
Wed Nov  8 15:28:10 2023  A1: 0
Wed Nov  8 15:28:10 2023  A2: 0
Wed Nov  8 15:28:10 2023  A3: 0
Wed Nov  8 15:28:10 2023  A4: 0
Wed Nov  8 15:28:10 2023  A5: 0
Wed Nov  8 15:28:10 2023  A6: 1625
Wed Nov  8 15:28:10 2023  skew 1.00, size 9.439e-13, alpha -0.723, combined = 1.112e-13 rroots = 2
Wed Nov  8 15:28:10 2023  
Wed Nov  8 15:28:10 2023  commencing square root phase
Wed Nov  8 15:28:10 2023  reading relations for dependency 1
Wed Nov  8 15:28:11 2023  read 5694404 cycles
Wed Nov  8 15:28:22 2023  cycles contain 18555328 unique relations
Wed Nov  8 15:38:32 2023  read 18555328 relations
Wed Nov  8 15:40:17 2023  multiplying 18555328 relations
Wed Nov  8 15:53:05 2023  multiply complete, coefficients have about 670.41 million bits
Wed Nov  8 15:53:07 2023  initial square root is modulo 1034221
Wed Nov  8 16:07:26 2023  GCD is 1, no factor found
Wed Nov  8 16:07:26 2023  reading relations for dependency 2
Wed Nov  8 16:07:28 2023  read 5695569 cycles
Wed Nov  8 16:07:37 2023  cycles contain 18552652 unique relations
Wed Nov  8 16:17:47 2023  read 18552652 relations
Wed Nov  8 16:19:25 2023  multiplying 18552652 relations
Wed Nov  8 16:32:07 2023  multiply complete, coefficients have about 670.32 million bits
Wed Nov  8 16:32:10 2023  initial square root is modulo 1032349
Wed Nov  8 16:53:21 2023  sqrtTime: 5111
Wed Nov  8 16:53:21 2023  p119 factor: 13673016161914360140667655657257603191064923453775435623632914840245914282036223284913224366155547588017738503060276839
Wed Nov  8 16:53:21 2023  p138 factor: 422567903771776908809826386912653072721147000683772472000697418939402473873674005697179572322067040324590361038098341916779205823483498343
Wed Nov  8 16:53:21 2023  elapsed time 01:25:13

130757367802280896365199000411258221931235940519012696823452023286595281449734510519757621976606381874380536366749523614442388516331007130030585875679502512719858753201966176154558459867445839208102656795854694063<213>

18349843533056103896626866709873107432075986516117924095506772304419045796512796775944293658633510280776543094047184925914353080082111270804414314231398961918700286609625974319793732589350461051260077791221153115511331498604617737417<233>

58130803041990568457690688168350338676122611449971334851095996808932420256999340765260481467534046846775348692810474569580208258549773581212137512888736639467134749620434162069740167122436175154548189850881996384219344722361<224>

686826398956030079932190883500346199384342005206830221699639374546732717003057625382043867113212134760655322103064848279922904291548185320971279489529115532835800740596875484367102999137590035797463855008462192574311<216>

350242515295598148621782520355677944673181<42>

1961002359683151010284701126100120278855647870998864775060285527497648572909987260380538947105202958851602498956273933909867451555689577840453218419179462136080060150654859731<175>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3263377357
Step 1 took 114495ms
Step 2 took 37100ms
********** Factor found in step 2: 350242515295598148621782520355677944673181
Found probable prime factor of 42 digits: 350242515295598148621782520355677944673181

1961002359683151010284701126100120278855647870998864775060285527497648572909987260380538947105202958851602498956273933909867451555689577840453218419179462136080060150654859731<175>

17081940957779601812255164249846604033033<41>
114799738772662994979061360416958645476215453214565284841069754050750078956416604611828893884748394900739042146126135375205726312064507<135>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2327828967
Step 1 took 114701ms
Step 2 took 32672ms
********** Factor found in step 2: 17081940957779601812255164249846604033033
Found probable prime factor of 41 digits: 17081940957779601812255164249846604033033

36053551622937024899864851612347159971459460123535932853368410948129618353923664898243827016758825362347085012266467469715928959140646389084042666610862784956198708263128860940901380219596237140382955043525522087899326463249603015378167<236>

1239549186269068946962131409591596971<37>

29086019354709882646619632043937330284188400209973489783802936512621676651138657948621037197465526896782117647702972576977820547205589696339436967400938961030351313766248555042939907960864665653013477<200>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2859051840
Step 1 took 123910ms
Step 2 took 35216ms
********** Factor found in step 2: 1239549186269068946962131409591596971
Found probable prime factor of 37 digits: 1239549186269068946962131409591596971

226252387645953358584369581298256932053401581161341425211774147421720966870363658840893735526937880920097832139479393838042928931132371877776144653791609583554821714643998048285419606937<186>

2821810810759925871103563645153818638370439958290383387925517652691044219012112019635093901500904158791033198053880957476734650544973736545223908635739675968867139580439733319459751742546590149467302601627287813446897888105938789433007521<238>

46883591773199268628593022712826015482932804960688673009994507275559620955419661501713721872172243006099715063102968350015256291771300014352951210499829748052784593031404209394790214060128088290824441334069562519665046310874994495398014819251343<245>

4063928661183246171001440859573049581796096868128870889510929725959822102358377003810844897323760303144665553012720137461921513909350224655694109469116242710769454731358688434849556424663287715714097236248583834336446833519760501<229>

1084703401862036486706508198091313757528334418881552267973906149680254155852825615127320368052964131334544534011533288313553026281710519107946347090349145394835073361338414359415441738754020935539120254768626808943957778704406518499227485710018300385707388103233<262>

3636810665260727828876255834532229<34>

298256769928459458759153196990648096767298213271256120858558228179310514820665672415837125751231646678330672144218367444444520636803813219134390220912022257203195661057813721394506625868531042623986408949245341521882088713870477<228>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=605567491
Step 1 took 39435ms
********** Factor found in step 1: 3636810665260727828876255834532229
Found probable prime factor of 34 digits: 3636810665260727828876255834532229

298256769928459458759153196990648096767298213271256120858558228179310514820665672415837125751231646678330672144218367444444520636803813219134390220912022257203195661057813721394506625868531042623986408949245341521882088713870477<228>

632130295826170733020240271307914747<36>
471827994794410191083129813443793934386522737759821051303224828496177663817290175471943282954900714268902900065546465522843548822471521599242879005919265616984974424640915414653031327649165591<192>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1621309346
Step 1 took 137558ms
Step 2 took 42493ms
********** Factor found in step 2: 632130295826170733020240271307914747
Found probable prime factor of 36 digits: 632130295826170733020240271307914747