1198730253347779180029370074993999718198466293225215106222677579527737339687204221099530924942656615417<103>

32901535905627537698645243787530756190619<41>
36433869129579030017111052526604516855390549384219453466805243<62>

N=1198730253347779180029370074993999718198466293225215106222677579527737339687204221099530924942656615417
  ( 103 digits)
Divisors found:
 r1=32901535905627537698645243787530756190619 (pp41)
 r2=36433869129579030017111052526604516855390549384219453466805243 (pp62)
Version: Msieve v. 1.47
Total time: 1.56 hours.
Scaled time: 1.55 units (timescale=0.990).
Factorization parameters were as follows:
name: 103
n: 1198730253347779180029370074993999718198466293225215106222677579527737339687204221099530924942656615417
skew: 13339.55
# norm 2.53e+14
c5: 34440
c4: -829972915
c3: -18878814807098
c2: 247020677237182388
c1: 1708596517223763151170
c0: 2154973169916891640652175
# alpha -6.46
Y1: 25057625087
Y0: -32235416939602037156
# Murphy_E 2.67e-09
# M 651239387937995291268147624093139307065620794448547609969961542004278183882370063891064224405776405474
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1150000, 1750001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 248043 x 248269
Polynomial selection time: 0.58 hours.
Total sieving time: 0.00 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.82 hours.
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: 1.56 hours.
 --------- CPU info (if available) ----------

2488968535882037114076539338147709615596587979704239424550474504073019225504105007449127260961239648557642733456359492392645453543402277761777265761393253473<157>

465959207084629213032865179681018748391000011789526833<54>
5341601792686503473310569632715886668176052005773844609920072822302676246498125314252589404364105260081<103>

SNFS difficulty: 162 digits.
Divisors found:
 r1=465959207084629213032865179681018748391000011789526833 (pp54)
 r2=5341601792686503473310569632715886668176052005773844609920072822302676246498125314252589404364105260081 (pp103)
Version: Msieve v. 1.48 SVN488 LARGE_BLOCKS zlib option -D density
Total time: 21.76 hours.
Scaled time: 52.22 units (timescale=2.400).
Factorization parameters were as follows:
n: 2488968535882037114076539338147709615596587979704239424550474504073019225504105007449127260961239648557642733456359492392645453543402277761777265761393253473
m: 1000000000000000000000000000
c6: 7
c3: -36
c0: -70
skew: 1.5
type: snfs
lss: 0
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4

Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved algebraic special-q in [2187500, 4387501)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 658488 x 658713
Total sieving time: 21.26 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.28 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,162.000,6,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 21.76 hours.

123397020433647022020316928800754557146385541832201150148982282933106013739973549844745352641500472825088798204341044674257269931688765695243414796289<150>

147026246836953691399922786532460136977103308761299<51>
839285658774174182276651830678617637281195903540548964698379787611081095733385619291654253132978011<99>

Number: 77377_81
N=123397020433647022020316928800754557146385541832201150148982282933106013739973549844745352641500472825088798204341044674257269931688765695243414796289
  ( 150 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=147026246836953691399922786532460136977103308761299 (pp51)
 r2=839285658774174182276651830678617637281195903540548964698379787611081095733385619291654253132978011 (pp99)
Version: Msieve-1.40
Total time: 63.46 hours.
Scaled time: 176.86 units (timescale=2.787).
Factorization parameters were as follows:
name: 77377_81
n: 123397020433647022020316928800754557146385541832201150148982282933106013739973549844745352641500472825088798204341044674257269931688765695243414796289
m: 1000000000000000000000000000
deg: 6
c6: 70
c3: -36
c0: -7
skew: 0.68
type: snfs
lss: 1
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1900000, 4700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 732949 x 733197
Total sieving time: 62.09 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.18 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,163.000,6,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 63.46 hours.
 --------- CPU info (if available) ----------

66381779329008072147943531749150293326265036880554968629333654915820984654188928145030961238588829754410422354864079824225615036664000124398780155157<149>

101488361264151871911871335824995666770788347340262103<54>
654082680044767969294375161963200290970303395910625917644425301122391269242360649574542452178419<96>

Number: 77377_82
N=66381779329008072147943531749150293326265036880554968629333654915820984654188928145030961238588829754410422354864079824225615036664000124398780155157
  ( 149 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=101488361264151871911871335824995666770788347340262103 (pp54)
 r2=654082680044767969294375161963200290970303395910625917644425301122391269242360649574542452178419 (pp96)
Version: Msieve-1.40
Total time: 55.51 hours.
Scaled time: 164.76 units (timescale=2.968).
Factorization parameters were as follows:
name: 77377_82
n: 66381779329008072147943531749150293326265036880554968629333654915820984654188928145030961238588829754410422354864079824225615036664000124398780155157
m: 1000000000000000000000000000
deg: 6
c6: 7000
c3: -360
c0: -7
skew: 0.32
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2050000, 4750001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 711474 x 711722
Total sieving time: 53.92 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.03 hours.
Time per square root: 0.46 hours.
Prototype def-par.txt line would be:
snfs,165.000,6,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000
total time: 55.51 hours.
 --------- CPU info (if available) ----------

306571041022298515953250785519913793571698895583306391670548017910930741201697571775528639765120375101067669921229519627337<123>

50811337618701959194269877748172882154607724789499406932747<59>
6033516443177830013177662874530344388530774194097579813778190971<64>

Number: 77377_83
N=306571041022298515953250785519913793571698895583306391670548017910930741201697571775528639765120375101067669921229519627337
  ( 123 digits)
SNFS difficulty: 168 digits.
Divisors found:
 r1=50811337618701959194269877748172882154607724789499406932747
 r2=6033516443177830013177662874530344388530774194097579813778190971
Version: 
Total time: 46.96 hours.
Scaled time: 112.15 units (timescale=2.388).
Factorization parameters were as follows:
n: 306571041022298515953250785519913793571698895583306391670548017910930741201697571775528639765120375101067669921229519627337
m: 10000000000000000000000000000
deg: 6
c6: 7
c3: -36
c0: -70
skew: 1.58
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2900000, 6600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9916717
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 905193 x 905441
Total sieving time: 43.23 hours.
Total relation processing time: 1.82 hours.
Matrix solve time: 1.70 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
snfs,168,6,0,0,0,0,0,0,0,0,5800000,5800000,27,27,51,51,2.4,2.4,100000
total time: 46.96 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: 8046576k/8912896k available (2575k kernel code, 339584k reserved, 1304k data, 212k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5345.45 BogoMIPS (lpj=2672726)
Calibrating delay using timer specific routine.. 5345.46 BogoMIPS (lpj=2672732)
Calibrating delay using timer specific routine.. 5345.44 BogoMIPS (lpj=2672724)
Calibrating delay using timer specific routine.. 5345.45 BogoMIPS (lpj=2672727)

GGNFS / Msieve v 1.39

Core 2 Quad Q6700

6740819421306580686828922039963804521089230525680797352294963462000131037437861898059380269617165284178918716769105510203408941576051305719893201643<148>

3130620997103142172071703535105639<34>
2153189232278216931837163857628467338767840757537945585827380814065190414448954732803979957579306224630397908387037<115>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=567785776
Step 1 took 23275ms
Step 2 took 13361ms
********** Factor found in step 2: 3130620997103142172071703535105639
Found probable prime factor of 34 digits: 3130620997103142172071703535105639
Probable prime cofactor 2153189232278216931837163857628467338767840757537945585827380814065190414448954732803979957579306224630397908387037 has 115 digits

364828060011058660388130162859725950468544898505945536791195221013215326961077750237297845467523667473065200038032773264533668127023978027<138>

1627579320228671910821586764072616381364505691927697052361555347<64>
224153781924312596179713284700875466438944678206031332907912116333201810441<75>

Number: 77377_85
N=364828060011058660388130162859725950468544898505945536791195221013215326961077750237297845467523667473065200038032773264533668127023978027
  ( 138 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=1627579320228671910821586764072616381364505691927697052361555347 (pp64)
 r2=224153781924312596179713284700875466438944678206031332907912116333201810441 (pp75)
Version: Msieve-1.40
Total time: 133.63 hours.
Scaled time: 337.28 units (timescale=2.524).
Factorization parameters were as follows:
name: 77377_85
n: 364828060011058660388130162859725950468544898505945536791195221013215326961077750237297845467523667473065200038032773264533668127023978027
m: 10000000000000000000000000000
deg: 6
c6: 7000
c3: -360
c0: -7
skew: 0.32
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2550000, 4350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 938525 x 938773
Total sieving time: 129.98 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 2.08 hours.
Time per square root: 1.41 hours.
Prototype def-par.txt line would be:
snfs,171.000,6,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 133.63 hours.
 --------- CPU info (if available) ----------

255789384697920542809368798455201859606329601366619819659075624699404480634549745791690720979317317122831742749799713<117>

14797615090514539799710759038582062856803946083130191292551<59>
17285852019619350970249087482375038565933290839340644919063<59>

Number: 77377_86
N = 255789384697920542809368798455201859606329601366619819659075624699404480634549745791690720979317317122831742749799713 (117 digits)
Divisors found:
r1=14797615090514539799710759038582062856803946083130191292551 (pp59)
r2=17285852019619350970249087482375038565933290839340644919063 (pp59)
Version: Msieve v. 1.48
Total time: 22.83 hours.
Factorization parameters were as follows:
n: 255789384697920542809368798455201859606329601366619819659075624699404480634549745791690720979317317122831742749799713
Y0: -28418394217900725524072
Y1: 3256979684353
c0: 5215713280448155309784944593
c1: 818726389084573779340394
c2: -11110592126780529455
c3: -303328251488062
c4: 1596618610
c5: 13800
skew: 82119.96  
type: gnfs
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [1800000, 3100000)
Relations: 9786518
Relations in full relation-set: 1101362 relations
Pruned matrix : 612151 x 612378
Polynomial selection time: 2.52 hours.
Total sieving time: 19.90 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.29 hours.
time per square root: 0.07 hours.
Prototype def-par.txt line would be: gnfs,116,5,63,2000,2.6e-05,0.28,250,20,50000,3600,3600000,3600000,27,27,53,53,2.5,2.5,100000
total time: 22.83 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

2323989788427639132649847313945745311776426560162318668317448438508996565215006234557492674417683101579194264157422308191263<124>

20154727984089192686890140767844753807401251278401<50>
115307425149189478318409405812156686438228878684147347939015990302280852063<75>

N = 2323989788427639132649847313945745311776426560162318668317448438508996565215006234557492674417683101579194264157422308191263 (124 digits)
Divisors found:
r1=20154727984089192686890140767844753807401251278401 (pp50)
r2=115307425149189478318409405812156686438228878684147347939015990302280852063 (pp75)
Version: Msieve v. 1.48
Total time: 20.82 hours.
Factorization parameters were as follows:
n: 2323989788427639132649847313945745311776426560162318668317448438508996565215006234557492674417683101579194264157422308191263
Y0: -866706429893300165235605
Y1: 21831318880667
c0: -25337713069224852146333078216256
c1: 494260366049454162151995876
c2: -134271849756647358364
c3: -3971335551304063
c4: -1002940290
c5: 4752
skew: 528755.00 
type: gnfs
Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 11206741
Relations: 1443028 relations
Pruned matrix : 848473 x 848709
Polynomial selection time: 0.00 hours.
Total sieving time: 19.78 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.89 hours.
time per square root: 0.09 hours.
Prototype def-par.txt line would be: gnfs,123,5,65,2000,1e-05,0.28,250,20,50000,3600,5200000,5200000,27,27,53,53,2.5,2.5,100000
total time: 20.82 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

56027874393179705344593089944584670676783926792466774870377194341812571448500322728423147247285573678224898622859959282613701551536632047232936844570264860151<158>

2688287707917964013211670204337339563<37>
20841472521024321891136355891381207196197654010768485136204275014189576196856842849835047695681730984170690486747994952677<122>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=60136959
Step 1 took 14084ms
Step 2 took 5673ms
********** Factor found in step 2: 2688287707917964013211670204337339563
Found probable prime factor of 37 digits: 2688287707917964013211670204337339563
Probable prime cofactor 20841472521024321891136355891381207196197654010768485136204275014189576196856842849835047695681730984170690486747994952677 has 122 digits

GMP-ECM 6.3

6231523093156877298768564076866020477081990831259285018335990561233206310767639370920179612207197054823617445677728922106299356743105046346697224337<148>

11687548409297538931113810332171514642478805920740952569865296660481<68>
533176238072276172832513874630121220463469192289188175684629693031718493532383377<81>

N=6231523093156877298768564076866020477081990831259285018335990561233206310767639370920179612207197054823617445677728922106299356743105046346697224337
  ( 148 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=11687548409297538931113810332171514642478805920740952569865296660481 (pp68)
 r2=533176238072276172832513874630121220463469192289188175684629693031718493532383377 (pp81)
Version: Msieve-1.40
Total time: 244.05 hours.
Scaled time: 474.92 units (timescale=1.946).
Factorization parameters were as follows:
n: 6231523093156877298768564076866020477081990831259285018335990561233206310767639370920179612207197054823617445677728922106299356743105046346697224337
m: 1000000000000000000000000000000
deg: 6
c6: 7000
c3: -360
c0: -7
skew: 0.32
type: snfs
lss: 1
rlim: 8100000
alim: 8100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 240000Factor 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, 7890001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1238745 x 1238970
Total sieving time: 240.66 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 2.19 hours.
Time per square root: 0.96 hours.
Prototype def-par.txt line would be:
snfs,183.000,6,0,0,0,0,0,0,0,0,8100000,8100000,28,28,53,53,2.5,2.5,100000
total time: 244.05 hours.
 --------- CPU info (if available) ----------

15554821844820263064890601449621100090243435910584913349116996274950618979710130934471276924664594259375815144621586990624581562860842597114816097487787500865631199222641<170>

2039385517257123437507356140955809236720398018493886940885385178722548682411634284137<85>
7627210114613719001727247336598227581113186829567584183473168394358673519748736846793<85>

N=15554821844820263064890601449621100090243435910584913349116996274950618979710130934471276924664594259375815144621586990624581562860842597114816097487787500865631199222641
  ( 170 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=2039385517257123437507356140955809236720398018493886940885385178722548682411634284137 (pp85)
 r2=7627210114613719001727247336598227581113186829567584183473168394358673519748736846793 (pp85)
Version: Msieve-1.40
Total time: 382.64 hours.
Scaled time: 746.53 units (timescale=1.951).
Factorization parameters were as follows:
n: 15554821844820263064890601449621100090243435910584913349116996274950618979710130934471276924664594259375815144621586990624581562860842597114816097487787500865631199222641
m: 1000000000000000000000000000000
deg: 6
c6: 700000
c3: -3600
c0: -7
skew: 0.15
type: snfs
lss: 1
rlim: 8800000
alim: 8800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 240000Factor base limits: 8800000/8800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4400000, 10400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1719998 x 1720223
Total sieving time: 378.22 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 3.79 hours.
Time per square root: 0.41 hours.
Prototype def-par.txt line would be:
snfs,185.000,6,0,0,0,0,0,0,0,0,8800000,8800000,28,28,54,54,2.5,2.5,100000
total time: 382.64 hours.
 --------- CPU info (if available) ----------

628024015080892246349416526835860050764526426600934887563442373549354633071494232763618016580131318406568070441836774297<120>

1714026756776911885696956917731<31>
366402690388474683317760524272226386168460763473461550906919954710532651437789925530920787<90>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1127353706
Step 1 took 20249ms
Step 2 took 11154ms
********** Factor found in step 2: 1714026756776911885696956917731
Found probable prime factor of 31 digits: 1714026756776911885696956917731
Probable prime cofactor 366402690388474683317760524272226386168460763473461550906919954710532651437789925530920787 has 90 digits

GMP-ECM 6.3

777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777737777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<189>

1820586892019093849727641331971503533251598877<46>
427212664875992440877625730967339218648609546227204494112333561223254184799307587728303302012091869080199827009876552614934115470084137447545701<144>

Number: n
N=777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777737777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
  ( 189 digits)
SNFS difficulty: 189 digits.
Divisors found:

Wed Feb  9 08:35:55 2011  prp46 factor: 1820586892019093849727641331971503533251598877
Wed Feb  9 08:35:55 2011  prp144 factor: 427212664875992440877625730967339218648609546227204494112333561223254184799307587728303302012091869080199827009876552614934115470084137447545701
Wed Feb  9 08:35:55 2011  elapsed time 02:08:54 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.099).
Factorization parameters were as follows:
name: KA_7_94_3_7_94
n: 777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777737777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
m: 10000000000000000000000000000000
#  Diff: 189.85
deg: 6
c6: 7000
c3: -360
c0: -7
skew: 0.32
type: snfs
lss: 1
rlim: 10200000
alim: 10200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10200000/10200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 5400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5856120 hash collisions in 36849652 relations
Msieve: matrix is 1155332 x 1155557 (325.8 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,189,6,0,0,0,0,0,0,0,0,10200000,10200000,28,28,54,54,2.5,2.5,100000
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.. 5659.83 BogoMIPS (lpj=2829919)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830459)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830456)
Total of 4 processors activated (22642.56 BogoMIPS).

31148489298269033951853335113247007520135273439238196947448048769634672718373158901793263026743042762426022337916611044364348329106038357139678725581809282249810884172117652293863747608241<188>

5835677101790677937605051627853209155708374398766840388861850509224749904653402739<82>
5337596435675153749451023632337967238054887773351500008638410348096647602694077566291883886197100819135819<106>

Number: n
N=31148489298269033951853335113247007520135273439238196947448048769634672718373158901793263026743042762426022337916611044364348329106038357139678725581809282249810884172117652293863747608241
  ( 188 digits)
SNFS difficulty: 191 digits.
Divisors found:

Mon Jan  2 14:42:10 2012  prp82 factor: 5835677101790677937605051627853209155708374398766840388861850509224749904653402739
Mon Jan  2 14:42:10 2012  prp106 factor: 5337596435675153749451023632337967238054887773351500008638410348096647602694077566291883886197100819135819
Mon Jan  2 14:42:10 2012  elapsed time 04:59:03 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.091).
Factorization parameters were as follows:
name: KA_7_95_3_7_95
n: 31148489298269033951853335113247007520135273439238196947448048769634672718373158901793263026743042762426022337916611044364348329106038357139678725581809282249810884172117652293863747608241
m: 10000000000000000000000000000000
deg: 6
c6: 700000
c3: -3600
c0: -7
skew: 0.15
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, 32400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7787394 hash collisions in 61228273 relations
Msieve: matrix is 1699790 x 1700015 (475.5 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,191,6,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)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.. 5660.20 BogoMIPS (lpj=2830100)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830455)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830456)
Calibrating delay using timer specific routine.. 5660.90 BogoMIPS (lpj=2830454)
Total of 4 processors activated (22642.93 BogoMIPS).

1875390296268292563280520067634448463964842790254325511151145353264980261978606093538923289395601132628957311885640332926430746755756329569200257718212834301<157>

849828498111132165291945722027813<33>
2206786781611373510214297356384626514593416382583069959524676232740680987555403240254218092970310053418519132679290062697977<124>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=1495768517
Step 1 took 7804ms
Step 2 took 3421ms
********** Factor found in step 2: 849828498111132165291945722027813
Found probable prime factor of 33 digits: 849828498111132165291945722027813
Probable prime cofactor 2206786781611373510214297356384626514593416382583069959524676232740680987555403240254218092970310053418519132679290062697977 has 124 digits

45756048093402194953685009824369799020232700536243110636602582867450258277927396356617073888408269149763211301537948654848286944651905371585821515005438685606885369<164>

2097613400610008383007096598058907477120077<43>
21813384716218845386396100088058163206431021102129791977811454628116385599397514210771621300427458406800793324442536392797<122>

GMP-ECM 6.3 [configured with GMP 5.0.2 and --enable-asm-redc] [ECM]
Input number is 45756048093402194953685009824369799020232700536243110636602582867450258277927396356617073888408269149763211301537948654848286944651905371585821515005438685606885369 (164 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4424502425
Step 1 took 39995ms
Step 2 took 14549ms
********** Factor found in step 2: 2097613400610008383007096598058907477120077
Found probable prime factor of 43 digits: 2097613400610008383007096598058907477120077
Probable prime cofactor 21813384716218845386396100088058163206431021102129791977811454628116385599397514210771621300427458406800793324442536392797 has 122 digits

Core i7 980

8876558906409818126572465922666568763599063237513648230242427400207783216667575461492032189384706264618906699051724018157725493617330037<136>

1361951607982383126752929533039847801329930207545107345511387<61>
6517528856667451143627197443523740737064888161669593024916712094086134323951<76>

N=8876558906409818126572465922666568763599063237513648230242427400207783216667575461492032189384706264618906699051724018157725493617330037
  ( 136 digits)
Divisors found:
 r1=1361951607982383126752929533039847801329930207545107345511387 (pp61)
 r2=6517528856667451143627197443523740737064888161669593024916712094086134323951 (pp76)
Version: Msieve-1.40
Total time: 307.25 hours.
Scaled time: 593.91 units (timescale=1.933).
Factorization parameters were as follows:
# Murphy_E = 3.74e-11, selected by Erik Branger
n: 8876558906409818126572465922666568763599063237513648230242427400207783216667575461492032189384706264618906699051724018157725493617330037
Y0: -225807559702965802291819418
Y1: 1039864052208697
c0: -29220273385094068697118341068364367
c1: 17951432843624707758063643776
c2: 27758551652199819337979
c3: -53012455647572984
c4: 3488970876
c5: 15120
skew: 1475311.72
type: gnfs
# selected mechanically
rlim: 14200000
alim: 14200000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
qintsize: 400000
Factor base limits: 14200000/14200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved algebraic special-q in [7100000, 11500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1945177 x 1945402
Total sieving time: 302.34 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 4.28 hours.
Time per square root: 0.41 hours.
Prototype def-par.txt line would be:
gnfs,135,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,14200000,14200000,28,28,55,55,2.6,2.6,100000
total time: 307.25 hours.
 --------- CPU info (if available) ----------

554248246686843470695399603791121812274922520458863592220722140701351396905194270697438213641284228723403468386625710029283844145933908205211301488122884944773911<162>

71440936870302500886957872760909124895189766181759736515302767363<65>
7758132395338737510661553978680397711520119144173621368796812861858099721867095946820022135451997<97>

Number: 77377_100
N=554248246686843470695399603791121812274922520458863592220722140701351396905194270697438213641284228723403468386625710029283844145933908205211301488122884944773911
  ( 162 digits)
SNFS difficulty: 201 digits.
Divisors found:
 r1=71440936870302500886957872760909124895189766181759736515302767363
 r2=7758132395338737510661553978680397711520119144173621368796812861858099721867095946820022135451997
Version: 
Total time: 315.19 hours.
Scaled time: 1154.54 units (timescale=3.663).
Factorization parameters were as follows:
n: 554248246686843470695399603791121812274922520458863592220722140701351396905194270697438213641284228723403468386625710029283844145933908205211301488122884944773911
m: 1000000000000000000000000000000000
deg: 6
c6: 7000
c3: -360
c0: -7
skew: 0.32
# Murphy_E = 1.233e-11
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [10000000, 18600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 37796948
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3260804 x 3261052
Total sieving time: 276.16 hours.
Total relation processing time: 6.79 hours.
Matrix solve time: 29.99 hours.
Time per square root: 2.25 hours.
Prototype def-par.txt line would be:
snfs,201,6,0,0,0,0,0,0,0,0,20000000,20000000,29,29,56,56,2.6,2.6,100000
total time: 315.19 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz stepping 02
Memory: 36991608k/38797312k available (5153k kernel code, 1057684k absent, 748020k reserved, 7165k data, 1260k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6667.30 BogoMIPS (lpj=3333650)
Total of 12 processors activated (80007.60 BogoMIPS).
x86info v1.25.  Dave Jones 2001-2009
Feedback to <davej@redhat.com>.

Found 12 CPUs
--------------------------------------------------------------------------
CPU #1
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)   Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x0 Package: 0  Core: 0   SMT ID 0
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #2
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x2 Package: 0  Core: 0   SMT ID 2
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #3
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x4 Package: 0  Core: 0   SMT ID 4
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #4
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x10        Package: 0  Core: 0   SMT ID 16
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #5
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x12        Package: 0  Core: 0   SMT ID 18
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #6
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x14        Package: 0  Core: 0   SMT ID 20
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #7
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x1 Package: 0  Core: 0   SMT ID 1
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #8
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x3 Package: 0  Core: 0   SMT ID 3
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #9
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x5 Package: 0  Core: 0   SMT ID 5
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #10
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM) Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x11        Package: 0  Core: 0   SMT ID 17
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #11
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM) Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x13        Package: 0  Core: 0   SMT ID 19
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #12
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM) Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x15        Package: 0  Core: 0   SMT ID 21
3.35GHz processor (estimate).

--------------------------------------------------------------------------

GGNFS / Msieve v1.39

Core i7 980

15463340310804396303292450079474767770066581914065692675688636055770530614421066728294834754092834108846872384361487695106959085495489436720434529648542226547196860767012278321<176>

233903173050523790941666560235634713<36>

66110006585777560834544237287339906736224755207677812839019014811481379958790065756996107492766781270073354500802530437136055633081440531417<140>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1300266056
Step 1 took 23448ms
Step 2 took 8988ms
********** Factor found in step 2: 233903173050523790941666560235634713
Found probable prime factor of 36 digits: 233903173050523790941666560235634713

66110006585777560834544237287339906736224755207677812839019014811481379958790065756996107492766781270073354500802530437136055633081440531417<140>

10840400350087211101071352970099126317408707213434454608353670809801<68>
6098483861368247838017203496578919593910992796667920496629554074693724817<73>

Number: 77377_101
N = 66110006585777560834544237287339906736224755207677812839019014811481379958790065756996107492766781270073354500802530437136055633081440531417 (140 digits)
Divisors found:
r1=10840400350087211101071352970099126317408707213434454608353670809801 (pp68)
r2=6098483861368247838017203496578919593910992796667920496629554074693724817 (pp73)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 384.44 hours.
Factorization parameters were as follows:
# Murphy_E = 2.486e-11, selected by Dmitry Domanov
n: 66110006585777560834544237287339906736224755207677812839019014811481379958790065756996107492766781270073354500802530437136055633081440531417
Y0: -1460867466785836842892071501
Y1: 631843925558447
c0: 15464130017186602247937187415200000
c1: 64404834650309780017166526642
c2: -193299527341864678955849
c3: -75157030924713198
c4: 80926431004
c5: 9936
skew: 1522971.99
type: gnfs
# selected mechanically
rlim: 18000000
alim: 18000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 18000000/18000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [9000000, 15400000)
Relations: 0
Relations in full relation-set: 3598010 relations
Pruned matrix : 2232152 x 2232380
Polynomial selection time: 0.00 hours.
Total sieving time: 379.28 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 4.10 hours.
time per square root: 0.93 hours.
Prototype def-par.txt line would be: gnfs,139,5,65,2000,1e-05,0.28,250,20,50000,3600,18000000,18000000,28,28,55,55,2.6,2.6,100000
total time: 384.44 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

733994306131615515060855071450073182336682900858887393691907230264487063538865544065706198303010732159386727353595016019993322816498002768521690348807209720807<159>

491410280665580748058238973090901200309647055846250409<54>
1493648657772221867407077978368821009770728840155801393913494138114758893512418551447974112573843105124623<106>

Tue Apr 25 08:15:30 2023  Msieve v. 1.53 (SVN unknown)
Tue Apr 25 08:15:30 2023  random seeds: acff1500 af17bae4
Tue Apr 25 08:15:30 2023  factoring 733994306131615515060855071450073182336682900858887393691907230264487063538865544065706198303010732159386727353595016019993322816498002768521690348807209720807 (159 digits)
Tue Apr 25 08:15:30 2023  searching for 15-digit factors
Tue Apr 25 08:15:31 2023  commencing number field sieve (159-digit input)
Tue Apr 25 08:15:31 2023  R0: -10000000000000000000000000000000000
Tue Apr 25 08:15:31 2023  R1: 1
Tue Apr 25 08:15:31 2023  A0: -7
Tue Apr 25 08:15:31 2023  A1: 0
Tue Apr 25 08:15:31 2023  A2: 0
Tue Apr 25 08:15:31 2023  A3: -36
Tue Apr 25 08:15:31 2023  A4: 0
Tue Apr 25 08:15:31 2023  A5: 0
Tue Apr 25 08:15:31 2023  A6: 70
Tue Apr 25 08:15:31 2023  skew 0.68, size 3.102e-10, alpha 0.158, combined = 7.396e-12 rroots = 2
Tue Apr 25 08:15:31 2023  
Tue Apr 25 08:15:31 2023  commencing square root phase
Tue Apr 25 08:15:31 2023  reading relations for dependency 1
Tue Apr 25 08:15:32 2023  read 1844271 cycles
Tue Apr 25 08:15:34 2023  cycles contain 6104652 unique relations
Tue Apr 25 08:16:33 2023  read 6104652 relations
Tue Apr 25 08:17:00 2023  multiplying 6104652 relations
Tue Apr 25 08:20:06 2023  multiply complete, coefficients have about 180.68 million bits
Tue Apr 25 08:20:07 2023  initial square root is modulo 3050153
Tue Apr 25 08:23:42 2023  sqrtTime: 491
Tue Apr 25 08:23:42 2023  p54 factor: 491410280665580748058238973090901200309647055846250409
Tue Apr 25 08:23:42 2023  p106 factor: 1493648657772221867407077978368821009770728840155801393913494138114758893512418551447974112573843105124623
Tue Apr 25 08:23:42 2023  elapsed time 00:08:12

951591660871947026702043145662583799413261225746623113636591640587645454417368226332665515070995176253761126658738280101618252959128783235209843427405391332130384958283729<171>

1051811316964726113318101270677394751809426123007147612697<58>
904717077600962829701629924200819287709949369867395092538512081757486357548593054518381672419874100842369243880057<114>

Number: n
N=951591660871947026702043145662583799413261225746623113636591640587645454417368226332665515070995176253761126658738280101618252959128783235209843427405391332130384958283729  ( 171 digits)
SNFS difficulty: 207 digits.
Divisors found:

Wed Aug 21 06:46:07 2024  prp58 factor: 1051811316964726113318101270677394751809426123007147612697
Wed Aug 21 06:46:07 2024  prp114 factor: 904717077600962829701629924200819287709949369867395092538512081757486357548593054518381672419874100842369243880057
Wed Aug 21 06:46:07 2024  elapsed time 03:03:27 (Msieve 1.44 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.930).
Factorization parameters were as follows:
#
# N = 7x10^207-36x10^103-7 = 7(103)37(103)
#
n: 951591660871947026702043145662583799413261225746623113636591640587645454417368226332665515070995176253761126658738280101618252959128783235209843427405391332130384958283729
m: 10000000000000000000000000000000000
deg: 6
c6: 7000
c3: -360
c0: -7
skew: 0.32
# Murphy_E = 7.826e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
q0: 50000
qintsize: 50000
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [50000, 106450000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 10553751 hash collisions in 35430235 relations (22811020 unique)
Msieve: matrix is 2179368 x 2179616 (594.7 MB)

Sieving start time: 2024/08/18 20:55:32
Sieving end time  : 2024/08/21 03:26:06

Total sieving time: 54hrs 30min 34secs.

Total relation processing time: 2hrs 27min 20sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 30sec.

Prototype def-par.txt line would be:
snfs,207,6,0,0,0,0,0,0,0,0,20000000,20000000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

50135021290748726708531334050202887439650197571542030328708454849302657994048772631140243704362607926761532870611112076479899290919426243759693919431416744383889866566071975666284878490881363303<194>

12526296363717684434584421167759397<35>
4002381856137813266674514607421061353732158375639184336232122717386821973781549282594120169491545013349174711887939831216139656779430911860687913308515561139099<160>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1420258826
Step 1 took 104580ms
Step 2 took 32583ms
********** Factor found in step 2: 12526296363717684434584421167759397
Found probable prime factor of 35 digits: 12526296363717684434584421167759397

21254344603977923418708335664665453222762547646539880795540236931731683593855280620093240004335458780143822810963<113>

319844158631444623113172259768577495968809<42>
66452189387861340070638671999419389917197066237964203976288069616807707<71>

N = 21254344603977923418708335664665453222762547646539880795540236931731683593855280620093240004335458780143822810963 (113 digits)
Divisors found:
r1=319844158631444623113172259768577495968809 (pp42)
r2=66452189387861340070638671999419389917197066237964203976288069616807707 (pp71)
Version: Msieve v. 1.48
Total time: 6.31 hours.
Factorization parameters were as follows:
n: 21254344603977923418708335664665453222762547646539880795540236931731683593855280620093240004335458780143822810963
Y0: -5484283459650308429702
Y1: 457163376181
c0: 350726889518501555849063415
c1: 150033100930191171386562
c2: 1032818330690036413
c3: -52100384081506
c4: -143453088
c5: 4284
skew: 72442.36  
type: gnfs
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 8242116
Relations: 597536 relations
Pruned matrix : 370105 x 370331
Polynomial selection time: 0.00 hours.
Total sieving time: 6.10 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.16 hours.
time per square root: 0.02 hours.
Prototype def-par.txt line would be: gnfs,112,5,61,2000,0.00016,0.25,250,15,50000,2800,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 6.31 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

1893459670036887570597430249094072692246048735430938816872696708505561710253802979838725321594738981637709310367714130008128868606360754767425563616230800431803755629489362608259398509228296645927<196>

19524820864351905702180715379202137<35>
96977057213054120811597271998290756451282879977915276355965337339894904350139423427806099493739411497591781803793247611823206721985921894896477425700387940876671<161>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=439588053
Step 1 took 83281ms
Step 2 took 26156ms
********** Factor found in step 2: 19524820864351905702180715379202137
Found probable prime factor of 35 digits: 19524820864351905702180715379202137
Probable prime cofactor 96977057213054120811597271998290756451282879977915276355965337339894904350139423427806099493739411497591781803793247611823206721985921894896477425700387940876671 has 161 digits

GMP-ECM 6.3

34517248709643120932463711058557203495759492903067201245114442630145263001366975241784932444563757697344559381827235254941858214980731120628229711002168078414156244827399294375321<179>

401424769804988352320674200184911913850652353839518656111209203311<66>
85986843129813730453037071977778659787455949370764517761066702667523057039640418740186785320030128524641924769911<113>

Number: 77377_109
N = 34517248709643120932463711058557203495759492903067201245114442630145263001366975241784932444563757697344559381827235254941858214980731120628229711002168078414156244827399294375321 (179 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=401424769804988352320674200184911913850652353839518656111209203311 (pp66)
r2=85986843129813730453037071977778659787455949370764517761066702667523057039640418740186785320030128524641924769911 (pp113)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 34.89 hours.
Factorization parameters were as follows:
n: 34517248709643120932463711058557203495759492903067201245114442630145263001366975241784932444563757697344559381827235254941858214980731120628229711002168078414156244827399294375321
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 7
c2: -36
c0: -70
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/29
Total raw relations: 30332645
Relations: 8616482 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 12.58 hours.
Total relation processing time: 0.24 hours.
Pruned matrix : 7329598 x 7329823
Matrix solve time: 21.82 hours.
time per square root: 0.24 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,536870912,29,29,58,58,2.8,2.8,100000
total time: 34.89 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.16299-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

73633135525803783985313701609017034983388522173003602360765467256996874056421779595291759562624971918240613283159246237072278153939113820502302503160950948016246210243144692834983320437167352671455462819<203>

34285473476342665145909174407329012489106603324175467<53>
239989387296573638342616048204754751098578727031684202960293<60>
8948929900324496966361233555161619761427804007676266603561147288549024113689199599460820149<91>

Number: 77377_110
N = 73633135525803783985313701609017034983388522173003602360765467256996874056421779595291759562624971918240613283159246237072278153939113820502302503160950948016246210243144692834983320437167352671455462819 (203 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=34285473476342665145909174407329012489106603324175467 (pp53)
r2=239989387296573638342616048204754751098578727031684202960293 (pp60)
r3=8948929900324496966361233555161619761427804007676266603561147288549024113689199599460820149 (pp91)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 42.64 hours.
Factorization parameters were as follows:
n: 73633135525803783985313701609017034983388522173003602360765467256996874056421779595291759562624971918240613283159246237072278153939113820502302503160950948016246210243144692834983320437167352671455462819
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 70
c2: -36
c0: -7
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 29236264
Relations: 8704734 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 17.78 hours.
Total relation processing time: 0.25 hours.
Pruned matrix : 7559888 x 7560113
Matrix solve time: 24.31 hours.
time per square root: 0.30 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000
total time: 42.64 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.16299-SP0
processors: 12, speed: 3.19GHz

GGNFs, NFS-factory, Msieve

870726695013470021127432066143109156163197861784338211986557608784493054073507974098659735157449575124609644146406732672049299549559346821761038467203295073537796276501749145259041684784401000698043716617145567989<213>

489474010749977551268538310769793619349058780293<48>
1778902813817086723105443018206014111626374862881971700988162704702010916596738146816877845456493579843860898329230829428984104444297486977108322088553985121256036273<166>

Number: 77377_111
N = 870726695013470021127432066143109156163197861784338211986557608784493054073507974098659735157449575124609644146406732672049299549559346821761038467203295073537796276501749145259041684784401000698043716617145567989 (213 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=489474010749977551268538310769793619349058780293 (pp48)
r2=1778902813817086723105443018206014111626374862881971700988162704702010916596738146816877845456493579843860898329230829428984104444297486977108322088553985121256036273 (pp166)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 60.94 hours.
Factorization parameters were as follows:
n: 870726695013470021127432066143109156163197861784338211986557608784493054073507974098659735157449575124609644146406732672049299549559346821761038467203295073537796276501749145259041684784401000698043716617145567989
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 7000
c2: -360
c0: -7
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 22369622
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/22369622
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 33811566
Relations: 9075088 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 33.24 hours.
Total relation processing time: 0.28 hours.
Pruned matrix : 7829546 x 7829771
Matrix solve time: 27.07 hours.
time per square root: 0.35 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,22369622,29,28,58,56,2.8,2.8,100000
total time: 60.94 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

1660041920317904953396197242123377779839348870389614955661255089233944910702079034240115001155452842584588084720083504049335836423473246167902643834633575930257210547959774186029218155227889861719660227097226589<211>

79507383365712802949371772901224887100083391211585415695401414809836559743579658167270483058496633426303459301061199388802066841979994393126366113577192326313643292433710866768920271890745656173730903627740131575909<215>

151984267066954154167104356224891219<36>

523129037630501193354245409154153887402504748584846047280649483562440225135977600925038581432187737633943394315280107050827420186220725739032225263048950799037529659251970565777511<180>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1048473548
Step 1 took 30851ms
Step 2 took 10977ms
********** Factor found in step 2: 151984267066954154167104356224891219
Found probable prime factor of 36 digits: 151984267066954154167104356224891219

523129037630501193354245409154153887402504748584846047280649483562440225135977600925038581432187737633943394315280107050827420186220725739032225263048950799037529659251970565777511<180>

5630686715815568449561020341014993<34>

92906791663817393776506197956847743348532056708766527366539832009600129892574022348078432838325292246471542957720032159448190645449869489014303927<146>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1127115819
Step 1 took 19602ms
Step 2 took 14197ms
********** Factor found in step 2: 5630686715815568449561020341014993
Found probable prime factor of 34 digits: 5630686715815568449561020341014993

92906791663817393776506197956847743348532056708766527366539832009600129892574022348078432838325292246471542957720032159448190645449869489014303927<146>

9200470575866037164959412349255491<34>

10098047800676989729689263065541489710655125173811823322831463840627009365133020119319183562030169323569413014397<113>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1622448372
Step 1 took 23639ms
Step 2 took 8936ms
********** Factor found in step 2: 9200470575866037164959412349255491
Found probable prime factor of 34 digits: 9200470575866037164959412349255491

10098047800676989729689263065541489710655125173811823322831463840627009365133020119319183562030169323569413014397<113>

3039599942417837503411485773712730266075980784113<49>
3322163439917865761042664382766815984765988802225610103141576269<64>

N = 10098047800676989729689263065541489710655125173811823322831463840627009365133020119319183562030169323569413014397 (113 digits)
Divisors found:
r1=3039599942417837503411485773712730266075980784113 (pp49)
r2=3322163439917865761042664382766815984765988802225610103141576269 (pp64)
Version: Msieve v. 1.48
Total time: 6.84 hours.
Factorization parameters were as follows:
n: 10098047800676989729689263065541489710655125173811823322831463840627009365133020119319183562030169323569413014397
Y0: -5285490433775504199928
Y1: 568683946301
c0: 11768848364830393792299897
c1: 17494423576024602619221
c2: 32111908715832889
c3: 6329343249547
c4: -23417162
c5: 2448
skew: 46072.03  
type: gnfs
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 8456772
Relations: 604510 relations
Pruned matrix : 374177 x 374402
Polynomial selection time: 0.00 hours.
Total sieving time: 6.62 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.16 hours.
time per square root: 0.02 hours.
Prototype def-par.txt line would be: gnfs,112,5,61,2000,0.00016,0.25,250,15,50000,2800,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 6.84 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

209795807356127997262450036300533969801303958327400420291913117210749779762130822239121993804669267697703186760640405670092422704693176957005209398632423431743544432629014311613916374619738692902186237481892902248816574144273<225>

2231773446755544461848590660230487890944828852440742743422536042248268093<73>
94004078980830268377207951778941166098485407826142644517109537147840902953246514373094236129522616305737787521198084515207962321475401905506066536604261<152>

Number: n
N=209795807356127997262450036300533969801303958327400420291913117210749779762130822239121993804669267697703186760640405670092422704693176957005209398632423431743544432629014311613916374619738692902186237481892902248816574144273  ( 225 digits)
SNFS difficulty: 234 digits.
Divisors found:

Tue Dec  8 12:30:55 2020  p73 factor: 2231773446755544461848590660230487890944828852440742743422536042248268093
Tue Dec  8 12:30:55 2020  p152 factor: 94004078980830268377207951778941166098485407826142644517109537147840902953246514373094236129522616305737787521198084515207962321475401905506066536604261
Tue Dec  8 12:30:55 2020  elapsed time 22:50:43 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 7x10^233-36x10^116-7 = 7(116)37(116)
#
n: 209795807356127997262450036300533969801303958327400420291913117210749779762130822239121993804669267697703186760640405670092422704693176957005209398632423431743544432629014311613916374619738692902186237481892902248816574144273
m: 1000000000000000000000000000000000000000
deg: 6
c6: 7
c3: -36
c0: -70
skew: 1.47
# Murphy_E = 8.656e-13
type: snfs
lss: 1
rlim: 57000000
alim: 57000000
lpbr: 30
lpba: 30
mfbr: 60
mfba: 60
rlambda: 2.7
alambda: 2.7
Factor base limits: 57000000/57000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 60/60
Sieved  special-q in [100000, 156500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 26791520 hash collisions in 137182274 relations (112174340 unique)
Msieve: matrix is 6947742 x 6947967 (2402.3 MB)

Sieving start time: 2020/12/03 22:47:30
Sieving end time  : 2020/12/07 13:37:16

Total sieving time: 86hrs 49min 46secs.

Total relation processing time: 21hrs 35min 22sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 27min 36sec.

Prototype def-par.txt line would be:
snfs,234,6,0,0,0,0,0,0,0,0,57000000,57000000,30,30,60,60,2.7,2.7,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116368] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16242000K/16727236K available (14339K kernel code, 2426K rwdata, 4932K rodata, 2720K init, 4956K bss, 485236K reserved, 0K cma-reserved)
[    0.153526] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152037] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

13769026880214580806472023859435157670104473241451655008049379951521023866691773468709118102781637821477919719365881546597999479822929850206930525459649699286919800319<167>

49276113312061597523361374405256056372681865746265346693987211643502068623413047499588739360413431439839307786076532032623863311115207235030545619637492371521008943730831238000246234089969888408794497999921<206>

25818399907193244404528746709087203<35>
1908565731772278333662928523682583031940183423983856812205990661890009365986839049078422875348207483738764494402082434601888788356820410474186885229429332494803091433196507<172>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4287151625
Step 1 took 27107ms
Step 2 took 10256ms
********** Factor found in step 2: 25818399907193244404528746709087203
Found probable prime factor of 35 digits: 25818399907193244404528746709087203

644420733627219646472242603018526414535475334452236976362564985619866241559175184119744319560950407821610117469845691108203498822071533564681830689296849819146361232818352283264399980205576955814524693437491604129<213>

6187993381274708163941665204911053167<37>

104140501439009441715168501748304027968564916642530365007507355638505557685482026340597596539691294492864061795928742309332558220780860406016473270294020620340410661955479835887<177>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3364567831
Step 1 took 19873ms
Step 2 took 704ms
********** Factor found in step 2: 6187993381274708163941665204911053167
Found probable prime factor of 37 digits: 6187993381274708163941665204911053167
Composite cofactor 104140501439... has 177 digits

259440867866765995456078514219212708154967736674931711457279354807624596476793014369317781706453776903091423255538135954293931678100596343366282323552412614756255304639173347269014235891049660688407811393901657085886046158236691610052963<237>

95194772544984388425916804017013577930030478138347130263921999829847222665484439563045024596363289689864108624835549722406876501257564084957788171686715687840048162681410328711471575382350718727517580737342252849697<215>

2079865472245367843036380571911<31>

45769677806235528153491406904442599517638865444266390273424320913885208458868022765398973633235724443618343487118101671627909979344919340395339892774918861849478160340845312538716447127<185>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=469908671
Step 1 took 11591ms
Step 2 took 6364ms
********** Factor found in step 2: 2079865472245367843036380571911
Found probable prime factor of 31 digits: 2079865472245367843036380571911
Composite cofactor 45769677806235528153491406904442599517638865444266390273424320913885208458868022765398973633235724443618343487118101671627909979344919340395339892774918861849478160340845312538716447127 has 185 digits

GMP-ECM 6.3

4025907767419799737667513796619328265494874653706032375681119974916174946213263190701467182275205482052038035539208394831275179704333118747530595643607764606334838556641298412991404903478372862168362489802257153<211>

289321658120384929316708995770344938230946607<45>

13914989266875571196719513578207526031211580911278355812042337339467479290367833516813482524550638766213073275372565623346360356360762407393433662216422269333789673679<167>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1446581457
Step 1 took 404166ms
Step 2 took 102453ms
********** Factor found in step 2: 289321658120384929316708995770344938230946607
Found probable prime factor of 45 digits: 289321658120384929316708995770344938230946607

6729962347110518066829083732259062132252624442556017009845233074892203549172551610134358025863226071481872043629692128546626428029508654390273150808486240241061867303621068739364316022533798327583205432802484479048372556178817368521460633724597<244>

2592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592591259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259<253>

1931647151357637691469786043581005835008352795441009<52>

1342166756889536691626932199272180833020860617913818011267831259709648621047331848092674661926413092251818205003320970979763698631799416790538325312507219377454041601534235682376190363422751307652174251<202>

Using B1=110000000, B2=2383810078666, polynomial Dickson(30), sigma=3963195151
Step 1 took 902154ms
Step 2 took 342000ms
********** Factor found in step 2: 1931647151357637691469786043581005835008352795441009
Found probable prime factor of 52 digits: 1931647151357637691469786043581005835008352795441009
Composite cofactor

705908180056907220913002577316437198564563062984565134761376685081695613020702507668030549960880479275810504930794969509690849237638687094341539155151934622349438813214566109219547373488077796459503992808895648704260664011156102839283821847<240>

18787694481837033209888162119117268518013574563230532909935243857460933369982031913820290060946495827007723620278256119170020748384283181043140490095796804061471925761437915732277834870517439298288435245423141257718651<218>

16583810765875843069212318520963785150902028892889793512887018808977159784942013947887501609508134545626699930124964105432218416255593613952129464906664424932646099557638119312448791308734343147991583721409158525819237233<221>

8078831766589050669091867998152926149969450586351752651093656400879201425213163806514042272298363766648324955332995990714018303182756064218720641205053430419510877723744099460521764463714677501849679408602759787111961761741396128290451<235>

252433024094132911315365224200736659475288573187648763678729603024919927573011336655040701272258449369514052766937147221921238480804258414703448798680786444044307152310163976669917730889840245939745070927198057987344225835918536193309212966501549634833<252>

819863221382549708434482235702530310861693472505480845552696674118602593619206668174099711568309795371641261488616979255041995250804660262210237156412612292097322765847352358826038533813047506749157500873219394918709808454277846769141<234>

307449592334138927909936508899515056494615629345988781610644512973323355504864969551099606993598082900812495080267276185665126718765218096243021334574313407141934618394128358386704175235869821511308273267846318183<213>

2727633829872240326392314712859<31>

112716593029108882641151929996260998762212487595260046276638984911098980455284651910478803358822426945216651700552719092399991422006986486010419012089564860683234937215411272165353637<183>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3290966081
Step 1 took 12246ms
Step 2 took 6661ms
********** Factor found in step 2: 2727633829872240326392314712859
Found probable prime factor of 31 digits: 2727633829872240326392314712859
Composite cofactor 112716593029108882641151929996260998762212487595260046276638984911098980455284651910478803358822426945216651700552719092399991422006986486010419012089564860683234937215411272165353637 has 183 digits

GMP-ECM 6.3

112716593029108882641151929996260998762212487595260046276638984911098980455284651910478803358822426945216651700552719092399991422006986486010419012089564860683234937215411272165353637<183>

494371276828190548075439587277039516093020434475312166235616717<63>
227999882501833571315382321137576781280128036444958868214487616790315188228985684086442708078413153154423573106178696761<120>

Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 382703
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 385992/56.670/66.385/70.120/0.834
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 323042/54.750/59.474/67.220/1.053
Info:Polynomial Selection (size optimized): Total time: 1.91204e+07
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 20223.1
Info:Polynomial Selection (root optimized): Rootsieve time: 20135.3
Info:Generate Factor Base: Total cpu/real time for makefb: 160.96/5.79758
Info:Generate Free Relations: Total cpu/real time for freerel: 4954.04/96.4097
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 302827741
Info:Lattice Sieving: Average J: 15870.7 for 7107868 special-q, max bucket fill -bkmult 1.0,1s:1.466650
Info:Lattice Sieving: Total time: 5.99873e+07s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 2238.56/1645.98
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 1644.1999999999998s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 39095.4/17770.6
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 12555.800000000001s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 29514.4/6576.67
Info:Filtering - Merging: Total cpu/real time for merge: 11659.7/344.055
Info:Filtering - Merging: Total cpu/real time for replay: 965.81/857.301
Info:Linear Algebra: Total cpu/real time for bwc: 2.65269e+07/1.11464e+06
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 479881.47, iteration CPU time 0.99, COMM 0.14, cpu-wait 0.32, comm-wait 0.0 (829440 iterations)
Info:Linear Algebra: Lingen CPU time 12401.33, WCT time 697.75
Info:Linear Algebra: Mksol: WCT time 633847.62, iteration CPU time 1.08, COMM 0.14, cpu-wait 0.31, comm-wait 0.0 (414720 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 1165.68/166.449
Info:Square Root: Total cpu/real time for sqrt: 102499/5469.53
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.37178e+08/2.53203e+06
227999882501833571315382321137576781280128036444958868214487616790315188228985684086442708078413153154423573106178696761 494371276828190548075439587277039516093020434475312166235616717

# MurphyE (Bf=4.295e+09,Bg=2.147e+09,area=2.147e+16) = 1.275e-08
# f(x) = -2428200*x^5-103163975496188*x^4+2931612709247135063047*x^3+22053297310727670327861728074*x^2-317134840670378789616282833726656143*x-593076496551600425678359947588031534863198
# g(x) = 1126091305482276940219*x-156151676822682903017361023441222336

CADO-NFS 3.0.0-dev

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

117394723080368278207474584301007971944839212197704392698628959757958986618882163103829989960392181758095617689583239806308727059125947462558608479214732564433950745158497299828009843330598148426332810261430619501932870991289310662299529988191765122267114081<258>

1986836101915063770028499092049923063<37>

59086264321055125835439752556838727130578127956748919642127633893642343544671469145836023495768134309252130074770799687901448848341571793851232988425498523933023021049323429825050642742392441465367093250698300057092765287<221>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=135590243
Step 1 took 40473ms
Step 2 took 13145ms
********** Factor found in step 2: 1986836101915063770028499092049923063
Found probable prime factor of 37 digits: 1986836101915063770028499092049923063

50276811395257675345364661637460310681732181421524849056213566203956123278426844958163055649660106095114758688370449996984124497725545568782131959902044722270799340829556890467622311128591988579813718341972734231255760730393168202343127317545476223609768751347<260>

821380507345455074453745494228770112307009555106475557<54>
61210134579091397584166020713539357390529337454665704945692663519848114721925548895677677779934836483526934396513525593554139892516884445956284933691611096222141606962912854771357173517365724385582231452471<206>

GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
Input number is 50276811395257675345364661637460310681732181421524849056213566203956123278426844958163055649660106095114758688370449996984124497725545568782131959902044722270799340829556890467622311128591988579813718341972734231255760730393168202343127317545476223609768751347 (260 digits)
[Sat Sep 29 15:11:59 2012]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=1257798249
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35       40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+007        3.6e+008
Step 1 took 891546ms
Using 31 small primes for NTT
Estimated memory usage: 897M
Initializing tables of differences for F took 577ms
Found factor while computing roots of F
Step 2 took 24804ms
********** Factor found in step 2: 821380507345455074453745494228770112307009555106475557
Found probable prime factor of 54 digits: 821380507345455074453745494228770112307009555106475557
Probable prime cofactor 61210134579091397584166020713539357390529337454665704945692663519848114721925548895677677779934836483526934396513525593554139892516884445956284933691611096222141606962912854771357173517365724385582231452471 has 206 digits

GMP-ECM

1221778945365165541445103958433902313422843306683957618088218239597779956993394594131744838771839053572854557313137029731321824415998544541472987580617328076846653894353915050565658195337582482249338392873121564103367288724547701480778779420413967969346189474170361197<268>

1262149252365089781979519577221807<34>

968014633036246722837590362280681930126196320932922104176523648662147620991422292872530923485909268272133141006907647729073280459355265265133128238292039259085572491302323298274024451235217103736251405393025364909424787281545908164771<234>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3127267060
Step 1 took 39714ms
********** Factor found in step 1: 1262149252365089781979519577221807
Found probable prime factor of 34 digits: 1262149252365089781979519577221807

77777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777377777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<281>

8643943773995191540223035964227213927813<40>

8997950450784716552761266434062948445547570123037153701204183064970743260774107471399068619801106233912410524806571363365268358662737275801035831613014097996268342229528922982062052419992960983419498163222847023035419610619128755729944242429<241>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1892404753
Step 1 took 164166ms
Step 2 took 48417ms
********** Factor found in step 2: 8643943773995191540223035964227213927813
Found probable prime factor of 40 digits: 8643943773995191540223035964227213927813

235690235690235690235690235690235690235690235690235690235690235690235690235690235690235690235690235690235690235690235690235690235690235690235569023569023569023569023569023569023569023569023569023569023569023569023569023569023569023569023569023569023569023569023569023569023569023569<282>

445804272322849264160689101894179<33>

528685457548845515086468767030638210860764220290661337680412971157259965644540475860441033070220170532415666553700270545382245081262761578845658477140140847916794663886576984737460757164463361041884517370865459996238808162434829299212195218482204411<249>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=570927328
Step 1 took 44995ms
Step 2 took 14655ms
********** Factor found in step 2: 445804272322849264160689101894179
Found probable prime factor of 33 digits: 445804272322849264160689101894179

47668368192914632051535307634277060913396014926765233891251148350979547800521515863590789552437343938985802844082229536142790616812597651940936031831386779370989656733873911424334529801455918890789726555677386864598423944236105319523038176679901995847613<254>

16916727679914111481110598727017747732739329<44>

2817824409948570551003643716062344854322762852650416976537348763096127166890477213862805820467443984589081613337671304248686890992453988892652798654523393998318923501362860402326983874631462619709724571394846397<211>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4043702874
Step 1 took 28290ms
Step 2 took 17985ms
********** Factor found in step 2: 16916727679914111481110598727017747732739329
Found probable prime factor of 44 digits: 16916727679914111481110598727017747732739329
Composite cofactor 281782440994... has 211 digits

10095027325840054023044880048230325134714683985116306811320810877306246283611317058253701728016297782378436667265490027901371266687079675093503232320398199863435864288090728218599067796036993695820432374801955094241516961<221>

28638448015723254233682904788947759045653048926568916637300793096298985537800318905831330204134824289262210388592196008795224074294333808367563296307596851224470148089234720991838451901283093349900835009258520625497031893012787324335960023104034521042494147107048060329993<272>

21449372166214172005354974278116038179<38>

1335164861414121229427613174040620741598285059045762555873154466259078104527948721118771865765051949542706448936572215195290418795380971705542726098135383354492438756072464458280831229209209928125777422807406383040516491132853142468067<235>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=262997219
Step 1 took 44916ms
Step 2 took 14289ms
********** Factor found in step 2: 21449372166214172005354974278116038179
Found probable prime factor of 38 digits: 21449372166214172005354974278116038179

1367957570461665533987351664370301779333633290484509480833583695729842121739755635820678234804974108024585921343651557324881665957871419783531625782439400117478799940353913274554216425119245367365049619522781408507617587534670926689206210917<241>

1704946216741606071803503068723715244810821427487187<52>

802346465260368379655786180708943886737456888913294450567427160539640879432386186550438868295099868347862110807902974751521289553740396943083350426253684050946135623675672314568770261058791<189>

GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
Input number is 1367957570461665533987351664370301779333633290484509480833583695729842121739755635820678234804974108024585921343651557324881665957871419783531625782439400117478799940353913274554216425119245367365049619522781408507617587534670926689206210917 (241 digits)
[Fri Apr 19 13:51:17 2013]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=1257743865
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35  40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+007        3.6e+008
Step 1 took 1291204ms
Using 29 small primes for NTT
Estimated memory usage: 841M
Initializing tables of differences for F took 780ms
Computing roots of F took 33150ms
Building F from its roots took 17441ms
Computing 1/F took 6396ms
Initializing table of differences for G took 639ms
Computing roots of G took 26708ms
Building G from its roots took 17097ms
Computing roots of G took 26786ms
Building G from its roots took 17097ms
Computing G * H took 3495ms
Reducing  G * H mod F took 3556ms
Computing roots of G took 30811ms
Building G from its roots took 17175ms
Computing G * H took 3464ms
Reducing  G * H mod F took 3494ms
Computing roots of G took 27207ms
Building G from its roots took 17144ms
Computing G * H took 3448ms
Reducing  G * H mod F took 3525ms
Computing polyeval(F,G) took 39359ms
Computing product of all F(g_i) took 249ms
Step 2 took 299709ms
********** Factor found in step 2: 1704946216741606071803503068723715244810821427487187
Found probable prime factor of 52 digits: 1704946216741606071803503068723715244810821427487187
Composite cofactor 802346465260368379655786180708943886737456888913294450567427160539640879432386186550438868295099868347862110807902974751521289553740396943083350426253684050946135623675672314568770261058791 has 189 digits

GMP-ECM

407145580816556734755747559092536445029991493625131805550423213432369068042670808991253408799434504134660828799849185154750014620701900917104929317089407917964547295760811635493886199350238274713800441282407347352420332599636989917666270485261528044890546875263503419509<270>

587848400314926202139702633341703206951<39>
692603025879525901958808241465355728988396127930720485889935394923547021048771569051904367848814436736278417460991574904371880718911223421745703676144658473495069993970100049589176363011770639800153078293623386088617975959647379459<231>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1786190167
Step 1 took 158289ms
********** Factor found in step 1: 587848400314926202139702633341703206951
Found probable prime factor of 39 digits: 587848400314926202139702633341703206951

6575301172775266948126831697680351590461207798841189592531888719875873552704536248894554545183161221594371066301329156896216764008229501827594557169987537045066808016887957415043441846438370589<193>

96004460707826830372126065677315742484560948773<47>

68489538134963045012753418048864718221919673024126241515190356623562112876000656094550871288326742018515941728144033256717773215207494221103043993<146>

Using B1=80000000, B2=582199712650, polynomial Dickson(30), sigma=774403478
Step 1 took 485202ms
Step 2 took 146317ms
********** Factor found in step 2: 96004460707826830372126065677315742484560948773
Found probable prime factor of 47 digits: 96004460707826830372126065677315742484560948773
Composite cofactor

68489538134963045012753418048864718221919673024126241515190356623562112876000656094550871288326742018515941728144033256717773215207494221103043993<146>

6320214536498078420351488460250669579593100119732227727584277504182774607<73>
10836584381661182297234918583187701517378741226411248889635913593609819799<74>

68489538134963045012753418048864718221919673024126241515190356623562112876000656094550871288326742018515941728144033256717773215207494221103043993=6320214536498078420351488460250669579593100119732227727584277504182774607*10836584381661182297234918583187701517378741226411248889635913593609819799

cado polynomial
n: 68489538134963045012753418048864718221919673024126241515190356623562112876000656094550871288326742018515941728144033256717773215207494221103043993
Y0: -32205035886111557904928985782
Y1: 14502288070252310051
c0: 223914653153463542454705115658494200
c1: 1138860429593522067912499809469
c2: 2194300554195321887233104
c3: -747230306587230253
c4: -199940903760
c5: 59400
skew: 1931327.792
type: gnfs
# Murphy_E = 1.565e-07

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

cado log (extracts)
Info:Square Root: Factors: 6320214536498078420351488460250669579593100119732227727584277504182774607 10836584381661182297234918583187701517378741226411248889635913593609819799
Info:Square Root: Total cpu/real time for sqrt: 1717.89/510.918
Info:Square Root: Total cpu/real time for sqrt: 1717.89/510.918
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5729.47
Info:Polynomial Selection (root optimized): Rootsieve time: 5727
Info:Generate Free Relations: Total cpu/real time for freerel: 498.53/126.203
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 229.29/273.291
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 272.70000000000005s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 831.05/935.429
Info:Filtering - Merging: Merged matrix has 3691015 rows and total weight 630777702 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 984.62/277.186
Info:Filtering - Merging: Total cpu/real time for replay: 159.65/139.234
Info:Linear Algebra: Total cpu/real time for bwc: 265998/68228
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 170790.86, WCT time 43751.81, iteration CPU time 0.36, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (115712 iterations)
Info:Linear Algebra: Lingen CPU time 829.35, WCT time 210.44
Info:Linear Algebra: Mksol: CPU time 92908.91,  WCT time 23694.77, iteration CPU time 0.39, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (57856 iterations)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 77228.6
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 78516/43.270/52.570/57.440/0.892
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 64071/42.570/47.184/53.380/1.255
Info:Polynomial Selection (size optimized): Total time: 40828.4
Info:Generate Factor Base: Total cpu/real time for makefb: 18.56/4.92644
Info:Quadratic Characters: Total cpu/real time for characters: 145.35/62.3404
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 50106056
Info:Lattice Sieving: Average J: 3917.57 for 1311540 special-q, max bucket fill -bkmult 1.0,1s:1.135900
Info:Lattice Sieving: Total time: 1.33473e+06s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1056.52/1045.41
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 877.7s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.85247e+06/750974
Info:root: Cleaning up computation data in /tmp/cado.3ockcwnr
6320214536498078420351488460250669579593100119732227727584277504182774607 10836584381661182297234918583187701517378741226411248889635913593609819799

cado-nfs-3.0.0

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

2759311534528147906421520532691037870882246945869471031176401750989375236017543828022746369762266238169906746029246225703866628702604413111190463463399231013478172861798472841305207693358779407173433991318762313624854314353290370214855591677943759232276930238635395039<268>

16674773992805968331791867245951372443559023797<47>
165478196929002053972470216955736140842119130738591000351944078079350272196517473956230760589169623999244112980147234217960934643132796479266831801654422051964257922601650485766788405092793571497802936990846472954001685187<222>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3652976408
Step 1 took 160081ms
Step 2 took 12677ms
********** Factor found in step 2: 16674773992805968331791867245951372443559023797
Found probable prime factor of 47 digits: 16674773992805968331791867245951372443559023797

8123843182333948902085478199939250075135825611112379515178356419407897039880114895429839278110491339044621864834235486071944925991864752152989444881622646326350752162600705488245782420078487083035330304290257<208>