43093146652421563742041024615405823291442009712982263381106459680346351258600736797155521773<92>

542416212208236246209393707547450011663<39>
79446642048150827077404386674848396849980435280219971<53>

Number: 85553_101
N=43093146652421563742041024615405823291442009712982263381106459680346351258600736797155521773
  ( 92 digits)
SNFS difficulty: 102 digits.
Divisors found:
 r1=542416212208236246209393707547450011663 (pp39)
 r2=79446642048150827077404386674848396849980435280219971 (pp53)
Version: Msieve-1.40
Total time: 0.32 hours.
Scaled time: 1.02 units (timescale=3.190).
Factorization parameters were as follows:
name: 85553_101
n: 43093146652421563742041024615405823291442009712982263381106459680346351258600736797155521773
m: 10000000000000000000000000
deg: 4
c4: 770
c0: -23
skew: 0.42
type: snfs
lss: 1
rlim: 360000
alim: 360000
lpbr: 25
lpba: 25
mfbr: 43
mfba: 43
rlambda: 2.2
alambda: 2.2
Factor base limits: 360000/360000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [180000, 240001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 37490 x 37725
Total sieving time: 0.31 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,102.000,4,0,0,0,0,0,0,0,0,360000,360000,25,25,43,43,2.2,2.2,10000
total time: 0.32 hours.
 --------- CPU info (if available) ----------

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

5837180565979092280518220342195234738047046159210995125575189708368394320499116842161121345128986529<100>

51490702355654824038547078674353159598261628687<47>
113363778292646265718075658267530288702185369603583567<54>

Number: n
N=5837180565979092280518220342195234738047046159210995125575189708368394320499116842161121345128986529
  ( 100 digits)
SNFS difficulty: 104 digits.
Divisors found:
 r1=51490702355654824038547078674353159598261628687 (pp47)
 r2=113363778292646265718075658267530288702185369603583567 (pp54)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 0.58 hours.
Scaled time: 1.07 units (timescale=1.823).
Factorization parameters were as follows:
name: KA_8_5_102_3
n: 5837180565979092280518220342195234738047046159210995125575189708368394320499116842161121345128986529
m: 10000000000000000000000000
deg: 4
c4: 77000
c0: -23
skew: 0.13
type: snfs
lss: 1
rlim: 390000
alim: 390000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 390000/390000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [195000, 255001)
Primes: RFBsize:33067, AFBsize:32859, largePrimes:1846902 encountered
Relations: rels:1861608, finalFF:182272
Max relations in full relation-set: 48
Initial matrix: 65994 x 182272 with sparse part having weight 21872457.
Pruned matrix : 51447 x 51840 with weight 3214592.
Total sieving time: 0.54 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.01 hours.
Total square root time: 0.01 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,104,4,0,0,0,0,0,0,0,0,390000,390000,25,25,45,45,2.5,2.5,10000
total time: 0.58 hours.
 --------- CPU info (if available) ----------

855555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555553<108>

32725787975438087899467407200201947510584466180977<50>
26143161356349359313219561142439752437339239870124896971889<59>

Number: 85553_107
N=855555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555553
  ( 108 digits)
SNFS difficulty: 108 digits.
Divisors found:
 r1=32725787975438087899467407200201947510584466180977 (pp50)
 r2=26143161356349359313219561142439752437339239870124896971889 (pp59)
Version: Msieve-1.40
Total time: 0.69 hours.
Scaled time: 1.96 units (timescale=2.849).
Factorization parameters were as follows:
name: 85553_107
n: 855555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555553
m: 1000000000000000000000
deg: 5
c5: 7700
c0: -23
skew: 0.31
type: snfs
lss: 1
rlim: 460000
alim: 460000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 460000/460000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [230000, 380001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 46315 x 46546
Total sieving time: 0.67 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,108.000,5,0,0,0,0,0,0,0,0,460000,460000,25,25,44,44,2.2,2.2,50000
total time: 0.69 hours.
 --------- CPU info (if available) ----------

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

806367158864802597130589590533040108911927950570740391664048591475547177714943973190910042936433134359618808252173<114>

3667581784761901089251644455001803343<37>
219863443049887391518428233448405450643997201200659959321082732916603564387811<78>

Number: 85553_116
N=806367158864802597130589590533040108911927950570740391664048591475547177714943973190910042936433134359618808252173
  ( 114 digits)
SNFS difficulty: 117 digits.
Divisors found:
 r1=3667581784761901089251644455001803343 (pp37)
 r2=219863443049887391518428233448405450643997201200659959321082732916603564387811 (pp78)
Version: Msieve-1.40
Total time: 1.22 hours.
Scaled time: 3.37 units (timescale=2.752).
Factorization parameters were as follows:
name: 85553_116
n: 806367158864802597130589590533040108911927950570740391664048591475547177714943973190910042936433134359618808252173
m: 100000000000000000000000
deg: 5
c5: 770
c0: -23
skew: 0.50
type: snfs
lss: 1
rlim: 650000
alim: 650000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 650000/650000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [325000, 575001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 84401 x 84640
Total sieving time: 1.19 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,117.000,5,0,0,0,0,0,0,0,0,650000,650000,25,25,45,45,2.2,2.2,50000
total time: 1.22 hours.
 --------- CPU info (if available) ----------

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

14140255729928951130094558232638530320092972087326235904212094523820489367710954862477959085447424878169992021<110>

391458089342721395513084095273<30>
36122016928226416288732134466784486439123791291534274773918002591903171395072077<80>

Number: 85553_123
N=14140255729928951130094558232638530320092972087326235904212094523820489367710954862477959085447424878169992021
  ( 110 digits)
SNFS difficulty: 124 digits.
Divisors found:
 r1=391458089342721395513084095273 (pp30)
 r2=36122016928226416288732134466784486439123791291534274773918002591903171395072077 (pp80)
Version: Msieve-1.40
Total time: 2.14 hours.
Scaled time: 6.96 units (timescale=3.254).
Factorization parameters were as follows:
name: 85553_123
n: 14140255729928951130094558232638530320092972087326235904212094523820489367710954862477959085447424878169992021
m: 1000000000000000000000000
deg: 5
c5: 77000
c0: -23
skew: 0.20
type: snfs
lss: 1
rlim: 840000
alim: 840000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 840000/840000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [420000, 870001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 110835 x 111083
Total sieving time: 2.10 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,124.000,5,0,0,0,0,0,0,0,0,840000,840000,25,25,46,46,2.2,2.2,50000
total time: 2.14 hours.
 --------- CPU info (if available) ----------

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

762319494453824372853681878786553953497814598081644397653443018045979298323144403223608150680591471<99>

34325750582682524206651042113924714149<38>
22208385294229153654570403508667165772581255557764380063221379<62>

Number: 85553_124
N=762319494453824372853681878786553953497814598081644397653443018045979298323144403223608150680591471
  ( 99 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=34325750582682524206651042113924714149 (pp38)
 r2=22208385294229153654570403508667165772581255557764380063221379 (pp62)
Version: Msieve-1.40
Total time: 2.10 hours.
Scaled time: 6.79 units (timescale=3.238).
Factorization parameters were as follows:
name: 85553_124
n: 762319494453824372853681878786553953497814598081644397653443018045979298323144403223608150680591471
m: 1000000000000000000000000
deg: 5
c5: 770000
c0: -23
skew: 0.12
type: snfs
lss: 1
rlim: 880000
alim: 880000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 880000/880000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [440000, 840001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 128963 x 129207
Total sieving time: 2.02 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,125.000,5,0,0,0,0,0,0,0,0,880000,880000,26,26,46,46,2.3,2.3,50000
total time: 2.10 hours.
 --------- CPU info (if available) ----------

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

333991153171299768221032031091655357312385545230643905944416721132443147983561887506093581419674691212729397257<111>

56614036785743808923046639698161263712870565666273<50>
5899440706468105488983574204603049342858232178585812174669609<61>

N=333991153171299768221032031091655357312385545230643905944416721132443147983561887506093581419674691212729397257
  ( 111 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=56614036785743808923046639698161263712870565666273 (pp50)
 r2=5899440706468105488983574204603049342858232178585812174669609 (pp61)
Version: Msieve-1.40
Total time: 2.98 hours.
Scaled time: 5.54 units (timescale=1.860).
Factorization parameters were as follows:
n: 333991153171299768221032031091655357312385545230643905944416721132443147983561887506093581419674691212729397257
m: 100000000000000000000000000
deg: 5
c5: 770
c0: -23
skew: 0.50
type: snfs
lss: 1
rlim: 1150000
alim: 1150000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1150000/1150000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [575000, 1175001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 174856 x 175081
Total sieving time: 2.83 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,132.000,5,0,0,0,0,0,0,0,0,1150000,1150000,26,26,47,47,2.3,2.3,50000
total time: 2.98 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

409209950674021612973800540905740459224427186571956099303653866324259791988588462833698944827621534943056943055001729302341<123>

432125887199188823669551813<27>

946969304075494813491302388613222735379128938062748157274317930160688982020315564104372752573057<96>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=2300021774
Step 1 took 5108ms
Step 2 took 3164ms
********** Factor found in step 2: 432125887199188823669551813
Found probable prime factor of 27 digits: 432125887199188823669551813
Composite cofactor has 96 digits

946969304075494813491302388613222735379128938062748157274317930160688982020315564104372752573057<96>

1314094232859600277345792738966509238770383<43>
720625112260629165542005461281398294944238350683701679<54>

Number: 85553_134
N=946969304075494813491302388613222735379128938062748157274317930160688982020315564104372752573057
  ( 96 digits)
Divisors found:
 r1=1314094232859600277345792738966509238770383
 r2=720625112260629165542005461281398294944238350683701679
Version: 
Total time: 1.59 hours.
Scaled time: 3.80 units (timescale=2.387).
Factorization parameters were as follows:
name: 85553_134
n: 946969304075494813491302388613222735379128938062748157274317930160688982020315564104372752573057
skew: 13875.76
# norm 3.00e+13
c5: 6720
c4: 1423522
c3: -2966106055961
c2: -2593626580243881
c1: 232520488443208909880
c0: -544873126116723589406065
# alpha -5.87
Y1: 4023052907
Y0: -2690254077336424086
# Murphy_E 5.31e-09
# M 769372641919939062774286283571286929061242825248235590157037582432945248406715374214179003500951
type: gnfs
rlim: 800000
alim: 800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 40000
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [400000, 720001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 3567518
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 133521 x 133769
Polynomial selection time: 0.10 hours.
Total sieving time: 1.31 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,95,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,800000,800000,26,26,48,48,2.5,2.5,40000
total time: 1.59 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: 8046640k/8912896k available (2550k kernel code, 339524k reserved, 1291k data, 208k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5345.61 BogoMIPS (lpj=2672808)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672339)
Calibrating delay using timer specific routine.. 5237.81 BogoMIPS (lpj=2618905)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

67847387435016300995682438981408053573002026610274032954445325579346197902898933826768878315270067847387435016300995682438981408053573<134>

1892623711972027008459679313947<31>

35848323682007787214479282884944142675437911417430901239052237253223107248230440174777698641684053488159<104>

GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 67847387435016300995682438981408053573002026610274032954445325579346197902898933826768878315270067847387435016300995682438981408053573 (134 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4402573060
Step 1 took 4259ms
Step 2 took 4150ms
********** Factor found in step 2: 1892623711972027008459679313947
Found probable prime factor of 31 digits: 1892623711972027008459679313947
Composite cofactor 35848323682007787214479282884944142675437911417430901239052237253223107248230440174777698641684053488159 has 104 digits

Core 2 Quad Q6600

35848323682007787214479282884944142675437911417430901239052237253223107248230440174777698641684053488159<104>

787257908776268316193948893895949541473593878947<48>
45535679327415383798518713174770000089720190485090374997<56>

Number: 85553_136
N=35848323682007787214479282884944142675437911417430901239052237253223107248230440174777698641684053488159
  ( 104 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=787257908776268316193948893895949541473593878947 (pp48)
 r2=45535679327415383798518713174770000089720190485090374997 (pp56)
Version: Msieve-1.40
Total time: 6.22 hours.
Scaled time: 12.74 units (timescale=2.048).
Factorization parameters were as follows:
name: 85553_136
n: 35848323682007787214479282884944142675437911417430901239052237253223107248230440174777698641684053488159
m: 1000000000000000000000000000
deg: 5
c5: 770
c0: -23
skew: 0.50
type: snfs
lss: 1
rlim: 1390000
alim: 1390000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1390000/1390000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [695000, 1520001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 226208 x 226456
Total sieving time: 5.98 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,137.000,5,0,0,0,0,0,0,0,0,1390000,1390000,26,26,48,48,2.3,2.3,75000
total time: 6.22 hours.
 --------- CPU info (if available) ----------

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

3607640514084088009561652936549099753134313393388834774281177627568745464094840652392591874187988056367274671224475357706927466279103<133>

12128732569951701731474174809<29>
297445796028335887901443549708486019570380907222648156035789772744718873977434984391114384276276906654167<105>

GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 3607640514084088009561652936549099753134313393388834774281177627568745464094840652392591874187988056367274671224475357706927466279103 (133 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1934743300
Step 1 took 4243ms
Step 2 took 4244ms
********** Factor found in step 2: 12128732569951701731474174809
Found probable prime factor of 29 digits: 12128732569951701731474174809
Probable prime cofactor 297445796028335887901443549708486019570380907222648156035789772744718873977434984391114384276276906654167 has 105 digits

Core 2 Quad Q6600

24541143561833371308362624144322831923030304710806367476980168301887682452645712163428972719522999210763197374441852325995244563810017<134>

199371165733417382809168827028750318843<39>
123092742481366421643149195374852318608995367730080284907501266176504690772158790066039372664019<96>

GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 24541143561833371308362624144322831923030304710806367476980168301887682452645712163428972719522999210763197374441852325995244563810017 (134 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2991554797
Step 1 took 4165ms
Step 2 took 4197ms
********** Factor found in step 2: 199371165733417382809168827028750318843
Found probable prime factor of 39 digits: 199371165733417382809168827028750318843
Probable prime cofactor 123092742481366421643149195374852318608995367730080284907501266176504690772158790066039372664019 has 96 digits

Core 2 Quad Q6600

136731882155298031872472989273501927275627616737163869506059429182477423743355967488902116601258832549011840755103<114>

676193719627857117308140257266740669106681<42>
202208151579030275976070654235783226223344844221377856983816058582258263<72>

Number: 85553_142
N=136731882155298031872472989273501927275627616737163869506059429182477423743355967488902116601258832549011840755103
  ( 114 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=676193719627857117308140257266740669106681 (pp42)
 r2=202208151579030275976070654235783226223344844221377856983816058582258263 (pp72)
Version: Msieve-1.40
Total time: 8.58 hours.
Scaled time: 17.74 units (timescale=2.068).
Factorization parameters were as follows:
name: 85553_142
n: 136731882155298031872472989273501927275627616737163869506059429182477423743355967488902116601258832549011840755103
m: 10000000000000000000000000000
deg: 5
c5: 7700
c0: -23
skew: 0.31
type: snfs
lss: 1
rlim: 1750000
alim: 1750000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1750000/1750000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [875000, 1975001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 298971 x 299219
Total sieving time: 8.25 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.20 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,143.000,5,0,0,0,0,0,0,0,0,1750000,1750000,26,26,48,48,2.3,2.3,100000
total time: 8.58 hours.
 --------- CPU info (if available) ----------

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

47375989101007734694445551421557341181865993768767576524680126897938132032936889877926963436702416342107108871<110>

2290427085137998730729281947745301854370893<43>
20684347215599452725092564879255716671006119639617039580101231613347<68>

Sieved ~80 hours (forgot to stop it), and msieve stopped with "too many relations"

wrote a small tool to filter out relations with lpbr/lpba > 24, this reduced the number of relations from ~50M to ~2M.

Msieve v. 1.44
Thu Feb 18 12:37:59 2010
random seeds: c8bff7ac 7390eb45
factoring 47375989101007734694445551421557341181865993768767576524680126897938132032936889877926963436702416342107108871 (110 digits)
searching for 15-digit factors
commencing number field sieve (110-digit input)
R0: -100000000000000000000000000000
R1:  1
A0: -23
A1:  0
A2:  0
A3:  0
A4:  0
A5:  770000
skew 0.12, size 5.735070e-11, alpha -0.479322, combined = 9.140822e-10

commencing relation filtering
estimated available RAM is 8010.2 MB
commencing duplicate removal, pass 1
found 434652 hash collisions in 2149231 relations
added 80 free relations
commencing duplicate removal, pass 2
found 468732 duplicates and 1680579 unique relations
memory use: 13.3 MB
reading ideals above 30000
commencing singleton removal, initial pass
memory use: 23.5 MB
reading all ideals from disk
memory use: 65.6 MB
keeping 1098545 ideals with weight <= 200, target excess is 10505
commencing in-memory singleton removal
begin with 1680579 relations and 1098545 unique ideals
reduce to 1613000 relations and 1029639 ideals in 5 passes
max relations containing the same ideal: 198
removing 194869 relations and 103355 ideals in 91514 cliques
commencing in-memory singleton removal
begin with 1418131 relations and 1029639 unique ideals
reduce to 1413797 relations and 921799 ideals in 4 passes
max relations containing the same ideal: 188
removing 72879 relations and 37277 ideals in 35602 cliques
commencing in-memory singleton removal
begin with 1340918 relations and 921799 unique ideals
reduce to 1340226 relations and 883817 ideals in 3 passes
max relations containing the same ideal: 182
removing 31820 relations and 16080 ideals in 15740 cliques
commencing in-memory singleton removal
begin with 1308406 relations and 883817 unique ideals
reduce to 1308261 relations and 867590 ideals in 2 passes
max relations containing the same ideal: 179
relations with 0 large ideals: 232
relations with 1 large ideals: 28
relations with 2 large ideals: 210
relations with 3 large ideals: 2348
relations with 4 large ideals: 16041
relations with 5 large ideals: 67648
relations with 6 large ideals: 199159
relations with 7+ large ideals: 1022595
commencing 2-way merge
reduce to 1300727 relation sets and 860056 unique ideals
commencing full merge
memory use: 144.2 MB
found 653845 cycles, need 258256
weight of 258256 cycles is about 18082247 (70.02/cycle)
distribution of cycle lengths:
1 relations: 3665
2 relations: 16008
3 relations: 25737
4 relations: 30911
5 relations: 36112
6 relations: 37686
7 relations: 38307
8 relations: 34592
9 relations: 28152
10+ relations: 7086
heaviest cycle: 12 relations
commencing cycle optimization
start with 1512832 relations
pruned 99255 relations
memory use: 42.5 MB
distribution of cycle lengths:
1 relations: 3665
2 relations: 17576
3 relations: 29864
4 relations: 36674
5 relations: 42571
6 relations: 41777
7 relations: 37855
8 relations: 28107
9 relations: 16763
10+ relations: 3404
heaviest cycle: 12 relations
RelProcTime: 88

commencing linear algebra
read 258256 cycles
cycles contain 618205 unique relations
read 618205 relations
using 20 quadratic characters above 8388588
building initial matrix
memory use: 80.3 MB
read 258256 cycles
matrix is 257788 x 258256 (73.4 MB) with weight 22174514 (85.86/col)
sparse part has weight 16388825 (63.46/col)
filtering completed in 3 passes
matrix is 255872 x 256072 (72.9 MB) with weight 22034693 (86.05/col)
sparse part has weight 16296577 (63.64/col)
read 256072 cycles
matrix is 255872 x 256072 (72.9 MB) with weight 22034693 (86.05/col)
sparse part has weight 16296577 (63.64/col)
saving the first 48 matrix rows for later
matrix is 255824 x 256072 (69.0 MB) with weight 17266834 (67.43/col)
sparse part has weight 15515019 (60.59/col)
matrix includes 64 packed rows
using block size 65536 for processor cache size 4096 kB
commencing Lanczos iteration (4 threads)
memory use: 72.6 MB
linear algebra at 2.4%, ETA 0h 3m256072 dimensions (2.4%, ETA 0h 3m)
linear algebra completed 255034 of 256072 dimensions (99.6%, ETA 0h 0m)
lanczos halted after 4046 iterations (dim = 255822)
recovered 40 nontrivial dependencies
BLanczosTime: 252

commencing square root phase
reading relations for dependency 1
read 128523 cycles
cycles contain 308894 unique relations
read 308894 relations
multiplying 308894 relations
multiply complete, coefficients have about 12.30 million bits
initial square root is modulo 11761111
reading relations for dependency 2
read 128461 cycles
cycles contain 308758 unique relations
read 308758 relations
multiplying 308758 relations
multiply complete, coefficients have about 12.30 million bits
initial square root is modulo 11675761
Newton iteration failed to converge
algebraic square root failed
reading relations for dependency 3
read 128092 cycles
cycles contain 307860 unique relations
read 307860 relations
multiplying 307860 relations
multiply complete, coefficients have about 12.26 million bits
initial square root is modulo 11127511
reading relations for dependency 4
read 128112 cycles
cycles contain 307912 unique relations
read 307912 relations
multiplying 307912 relations
multiply complete, coefficients have about 12.26 million bits
initial square root is modulo 11158691
sqrtTime: 153
prp43 factor: 2290427085137998730729281947745301854370893
prp68 factor: 20684347215599452725092564879255716671006119639617039580101231613347
elapsed time 00:08:13

7872411318564485221490292447811791706629378019184759666017550569763213203403785280288003477765498860902977846932310451505281723440554553101101289<145>

186869116721933264312093771400922538239501526355400467449<57>
42127942041267656582092688450732710512885900747944635846400855511527003182161358176258161<89>

Number: 85553_150
N=7872411318564485221490292447811791706629378019184759666017550569763213203403785280288003477765498860902977846932310451505281723440554553101101289
  ( 145 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=186869116721933264312093771400922538239501526355400467449 (pp57)
 r2=42127942041267656582092688450732710512885900747944635846400855511527003182161358176258161 (pp89)
Version: Msieve-1.40
Total time: 15.65 hours.
Scaled time: 48.46 units (timescale=3.097).
Factorization parameters were as follows:
name: 85553_150
n: 7872411318564485221490292447811791706629378019184759666017550569763213203403785280288003477765498860902977846932310451505281723440554553101101289
m: 1000000000000000000000000000000
deg: 5
c5: 77
c0: -23
skew: 0.79
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1200000, 1900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 357735 x 357983
Total sieving time: 15.24 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.30 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,151.000,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,49,49,2.4,2.4,100000
total time: 15.65 hours.
 --------- CPU info (if available) ----------

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

30681139453770238715076831974091351420689953464756068084583973949207753305277280901765720151878879167214172981796931<116>

31585619035701600830947792436431016977<38>
110332696589092591228239005239077653671<39>
8803955912186662230146750322690613024693<40>

Number: 85553_151
N=30681139453770238715076831974091351420689953464756068084583973949207753305277280901765720151878879167214172981796931
  ( 116 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=31585619035701600830947792436431016977 (pp38)
 r2=110332696589092591228239005239077653671 (pp39)
 r3=8803955912186662230146750322690613024693 (pp40)
Version: Msieve v. 1.42
Total time: 0.80 hours.
Scaled time: 0.68 units (timescale=0.852).
Factorization parameters were as follows:
name: 85553_151
n: 30681139453770238715076831974091351420689953464756068084583973949207753305277280901765720151878879167214172981796931
m: 1000000000000000000000000000000
deg: 5
c5: 770
c0: -23
skew: 0.50
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1250000, 2250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 442079 x 442312
Total sieving time: 0.00 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.60 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,152.000,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 0.80 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
Memory: 3886124k/4718592k available (3786k kernel code, 656964k absent, 175504k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5827.35 BogoMIPS (lpj=2913679)
Calibrating delay using timer specific routine.. 5826.55 BogoMIPS (lpj=2913275)
Total of 2 processors activated (11653.90 BogoMIPS).

Total time: 10 hours.

855471315857020269789620181231147520819293214148837337817162933174872858882458638161248614867<93>

3504792864501711563871300669687352421039538283<46>
244086126892593284322279556435322803373661333049<48>

Number: 85553_152
N=855471315857020269789620181231147520819293214148837337817162933174872858882458638161248614867
  ( 93 digits)
Divisors found:
 r1=3504792864501711563871300669687352421039538283 (pp46)
 r2=244086126892593284322279556435322803373661333049 (pp48)
Version: Msieve-1.40
Total time: 5.80 hours.
Scaled time: 11.40 units (timescale=1.966).
Factorization parameters were as follows:
name: 85553_152
n:  855471315857020269789620181231147520819293214148837337817162933174872858882458638161248614867
m:  4200408142000083589872
deg: 4
c4: 2748144
c3: -20219720064
c2: -128322045921105103
c1: 44183008157257554
c0: 143158194389006479357939
skew: 1635.250
type: gnfs
# adj. I(F,S) = 54.053
# E(F1,F2) = 5.889978e-05
# GGNFS version 0.77.1-20060722-pentium4 polyselect.
# Options were: 
# lcd=1, enumLCD=24, maxS1=60.00000000, seed=1288286767.
# maxskew=2000.0
# These parameters should be manually set:
rlim: 1200000
alim: 1200000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.4
alambda: 2.4
qintsize: 60000

type: gnfs
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [600000, 1260001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 160766 x 160999
Polynomial selection time: 0.17 hours.
Total sieving time: 5.27 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.23 hours.
Prototype def-par.txt line would be:
gnfs,92,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 5.80 hours.
 --------- CPU info (if available) ----------

25848994127212545574179291877179483253529126552889522827134113351552971764093300993755634255873276808876129<107>

304368333812793325643342673473974567464884101849<48>
84926686700303679276546894309143947563907355272771366507721<59>

Number: 85553_153
N=25848994127212545574179291877179483253529126552889522827134113351552971764093300993755634255873276808876129
  ( 107 digits)
Divisors found:
 r1=304368333812793325643342673473974567464884101849 (pp48)
 r2=84926686700303679276546894309143947563907355272771366507721 (pp59)
Version: Msieve-1.40
Total time: 10.44 hours.
Scaled time: 32.49 units (timescale=3.112).
Factorization parameters were as follows:
name: 85553_153
n: 25848994127212545574179291877179483253529126552889522827134113351552971764093300993755634255873276808876129
skew: 5348.70
# norm 3.48e+14
c5: 79380
c4: -4856696928
c3: 12125531199915
c2: 21993715773113876
c1: -198801128188701489820
c0: -54972655166752064252544
# alpha -5.79
Y1: 175878668051
Y0: -200701753919506794239
# Murphy_E 1.63e-09
# M 7499196391551502508491628767297975897649575057994989929394652403962635497403515543255726242610436171428314
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 261246 x 261494
Polynomial selection time: 1.09 hours.
Total sieving time: 9.15 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
gnfs,106,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 10.44 hours.
 --------- CPU info (if available) ----------

Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

60418540566236973436992786048122121423432040375142506619344899582729985819398670677897082561426358767198734987276091993<119>

126775734343750245732220856118378425823871<42>
476578115512335579291764892456747358562304029788026983673266472368018796031783<78>

Number: 85553_156
N=60418540566236973436992786048122121423432040375142506619344899582729985819398670677897082561426358767198734987276091993
  ( 119 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=126775734343750245732220856118378425823871 (pp42)
 r2=476578115512335579291764892456747358562304029788026983673266472368018796031783 (pp78)
Version: Msieve v. 1.42
Total time: 0.94 hours.
Scaled time: 0.96 units (timescale=1.024).
Factorization parameters were as follows:
name: 85553_156
n: 60418540566236973436992786048122121423432040375142506619344899582729985819398670677897082561426358767198734987276091993
m: 10000000000000000000000000000000
deg: 5
c5: 770
c0: -23
skew: 0.50
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1500000, 2900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 595866 x 596092
Total sieving time: 0.00 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.80 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,157.000,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 0.94 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU1: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU2: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU3: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
Memory: 3057976k/3145344k available (3786k kernel code, 496k absent, 86872k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 4788.28 BogoMIPS (lpj=2394141)
Calibrating delay using timer specific routine.. 4787.75 BogoMIPS (lpj=2393878)
Calibrating delay using timer specific routine.. 4787.78 BogoMIPS (lpj=2393891)
Calibrating delay using timer specific routine.. 4787.77 BogoMIPS (lpj=2393888)
Total of 4 processors activated (19151.59 BogoMIPS).

Total time: 17 hours.

59657408556947756812207941953132055418172916703972342940221975821371953872113839589535776357<92>

288024252371189620703017704124963069471319<42>
207126337680983232241146875266851970180775953309603<51>

Number: 85553_157
N = 59657408556947756812207941953132055418172916703972342940221975821371953872113839589535776357 (92 digits)
Divisors found:
r1=288024252371189620703017704124963069471319 (pp42)
r2=207126337680983232241146875266851970180775953309603 (pp51)
Version: Msieve v. 1.47
Total time: 1.20 hours.
Factorization parameters were as follows:
n: 59657408556947756812207941953132055418172916703972342940221975821371953872113839589535776357
Y0: -20527246494332025466666
Y1: 712027808467
c0: -668749587073496284476772395
c1: 532118826368835732798
c2: 109270414646635
c3: 51678826
c4: 336
skew: 1543665.68
type: gnfs
Factor base limits: 700000/700000
Large primes per side: 3
Large prime bits: 25/25
Sieved algebraic special-q in [350000, 710000)
Relations: 1601459
Relations in full relation-set: 196730 relations
Pruned matrix : 109779 x 110005
Polynomial selection time: 0.16 hours.
Total sieving time: 0.99 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
time per square root: 0.02 hours.
Prototype def-par.txt line would be: gnfs,91,4,58,2000,0.00025,0.3,220,15,10000,600,700000,700000,25,25,44,44,2.4,2.4,40000
total time: 1.20 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

346378767431399010346378767431399010346378767431399010346378767431399010346378767431399010346378767431399010346378767431399010346378767431399010346378767431399<159>

218685090812860492126382519729399600994163522788989079877<57>
1583915785680205474052305637749297757699404185316073380669484685197068836222710476777000765037550947387<103>

Number: 85553_160
N=346378767431399010346378767431399010346378767431399010346378767431399010346378767431399010346378767431399010346378767431399010346378767431399010346378767431399
  ( 159 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=218685090812860492126382519729399600994163522788989079877 (pp57)
 r2=1583915785680205474052305637749297757699404185316073380669484685197068836222710476777000765037550947387 (pp103)
Version: Msieve v. 1.42
Total time: 1.33 hours.
Scaled time: 1.14 units (timescale=0.854).
Factorization parameters were as follows:
name: 85553_160
n: 346378767431399010346378767431399010346378767431399010346378767431399010346378767431399010346378767431399010346378767431399010346378767431399010346378767431399
m: 100000000000000000000000000000000
deg: 5
c5: 77
c0: -23
skew: 0.79
type: snfs
lss: 1
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 rational special-q in [1750000, 3050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 579616 x 579847
Total sieving time: 0.00 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.04 hours.
Time per square root: 0.20 hours.
Prototype def-par.txt line would be:
snfs,161.000,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 1.33 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
Memory: 3886124k/4718592k available (3786k kernel code, 656964k absent, 175504k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5827.35 BogoMIPS (lpj=2913679)
Calibrating delay using timer specific routine.. 5826.55 BogoMIPS (lpj=2913275)
Total of 2 processors activated (11653.90 BogoMIPS).

Total time: 15 hours.

7190500247802318975041801092508657377324802271744955335088181268710375514987746527660156527553056952886303955286746288241105914781991715389102735387<148>

16298144025741943317763656147047066773<38>
441185219399543534811302982655050137793620791497975773346736270953665977741741263538697068464781609240583527919<111>

Number: 85553_161
N=7190500247802318975041801092508657377324802271744955335088181268710375514987746527660156527553056952886303955286746288241105914781991715389102735387
  ( 148 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=16298144025741943317763656147047066773 (pp38)
 r2=441185219399543534811302982655050137793620791497975773346736270953665977741741263538697068464781609240583527919 (pp111)
Version: Msieve-1.40
Total time: 38.19 hours.
Scaled time: 124.26 units (timescale=3.254).
Factorization parameters were as follows:
name: 85553_161
n: 7190500247802318975041801092508657377324802271744955335088181268710375514987746527660156527553056952886303955286746288241105914781991715389102735387
m: 100000000000000000000000000000000
deg: 5
c5: 770
c0: -23
skew: 0.50
type: snfs
lss: 1
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1800000, 3800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 737890 x 738138
Total sieving time: 36.96 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.07 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,162.000,5,0,0,0,0,0,0,0,0,3600000,3600000,27,27,51,51,2.4,2.4,100000
total time: 38.19 hours.
 --------- CPU info (if available) ----------

Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

5741989926757079913984639096641825144737568533697824509234134797118052303558144592110741739344846503099874130073170775490419504358564141681083556881819<151>

5160560762468538221278648223069096205568141731609407<52>
1112667826434121251746481468702880110793667216320996562399027875386951483991273672112477222936791717<100>

Number: 85553_162
N=5741989926757079913984639096641825144737568533697824509234134797118052303558144592110741739344846503099874130073170775490419504358564141681083556881819
  ( 151 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=5160560762468538221278648223069096205568141731609407 (pp52)
 r2=1112667826434121251746481468702880110793667216320996562399027875386951483991273672112477222936791717 (pp100)
Version: Msieve-1.40
Total time: 38.67 hours.
Scaled time: 124.61 units (timescale=3.222).
Factorization parameters were as follows:
name: 85553_162
n: 5741989926757079913984639096641825144737568533697824509234134797118052303558144592110741739344846503099874130073170775490419504358564141681083556881819
m: 100000000000000000000000000000000
deg: 5
c5: 7700
c0: -23
skew: 0.31
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, 3900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 716764 x 717012
Total sieving time: 37.36 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.00 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,163.000,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 38.67 hours.
 --------- CPU info (if available) ----------

Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

186069656070321118231260498798558848927602199249706336792702211273305460878978821928602133147895801024698360792632849305636273972412198333816976038331143<153>

5775173401795980417582800687080615848478622738619589<52>
32218886451523105624499723612284053475410729294071833830582981908112724969095900288256805760952612187<101>

Number: 85553_163
N=186069656070321118231260498798558848927602199249706336792702211273305460878978821928602133147895801024698360792632849305636273972412198333816976038331143
  ( 153 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=5775173401795980417582800687080615848478622738619589 (pp52)
 r2=32218886451523105624499723612284053475410729294071833830582981908112724969095900288256805760952612187 (pp101)
Version: Msieve v. 1.42
Total time: 2.27 hours.
Scaled time: 2.33 units (timescale=1.024).
Factorization parameters were as follows:
name: 85553_163
n: 186069656070321118231260498798558848927602199249706336792702211273305460878978821928602133147895801024698360792632849305636273972412198333816976038331143
m: 100000000000000000000000000000000
deg: 5
c5: 77000
c0: -23
skew: 0.20
type: snfs
lss: 1
rlim: 3900000
alim: 3900000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3900000/3900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1950000, 4350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 834998 x 835223
Total sieving time: 0.00 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 1.62 hours.
Time per square root: 0.57 hours.
Prototype def-par.txt line would be:
snfs,164.000,5,0,0,0,0,0,0,0,0,3900000,3900000,27,27,51,51,2.4,2.4,100000
total time: 2.27 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU1: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU2: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU3: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
Memory: 3057976k/3145344k available (3786k kernel code, 496k absent, 86872k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 4788.28 BogoMIPS (lpj=2394141)
Calibrating delay using timer specific routine.. 4787.75 BogoMIPS (lpj=2393878)
Calibrating delay using timer specific routine.. 4787.78 BogoMIPS (lpj=2393891)
Calibrating delay using timer specific routine.. 4787.77 BogoMIPS (lpj=2393888)
Total of 4 processors activated (19151.59 BogoMIPS).

Total time: 31 hours.

327003987562915003516740849218635590769293542235598157655388341382933625019776790162401499087381780637256265243216819478937294426157632905052489872819<150>

10205814756431328812131562898713119133<38>
8814107664495086417507299718853774134529148966881172429<55>
3635189172816367103768036223211893670102908069055800613067<58>

Number: 85553_164
N=327003987562915003516740849218635590769293542235598157655388341382933625019776790162401499087381780637256265243216819478937294426157632905052489872819
  ( 150 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=10205814756431328812131562898713119133 (pp38)
 r2=8814107664495086417507299718853774134529148966881172429 (pp55)
 r3=3635189172816367103768036223211893670102908069055800613067 (pp58)
Version: Msieve-1.40
Total time: 56.18 hours.
Scaled time: 189.55 units (timescale=3.374).
Factorization parameters were as follows:
name: 85553_164
n: 327003987562915003516740849218635590769293542235598157655388341382933625019776790162401499087381780637256265243216819478937294426157632905052489872819
m: 100000000000000000000000000000000
deg: 5
c5: 770000
c0: -23
skew: 0.12
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, 5050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 835565 x 835813
Total sieving time: 54.47 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.32 hours.
Time per square root: 0.29 hours.
Prototype def-par.txt line would be:
snfs,165.000,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000
total time: 56.18 hours.
 --------- CPU info (if available) ----------

Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

9183170955559733756182884237917023698889516411187045619737876929594678263083326093537711409112759243692730512265541570177063405523<130>

5965207679053198132191064231757<31>
1539455363441309887419980068716236788435696360158706809718714444934737486778097913167999796592731039<100>

Using B1=1500000, B2=2140044280, polynomial Dickson(6), sigma=2854287714
Step 1 took 2768ms
Step 2 took 1816ms
********** Factor found in step 2: 5965207679053198132191064231757
Found probable prime factor of 31 digits: 5965207679053198132191064231757
Probable prime cofactor 1539455363441309887419980068716236788435696360158706809718714444934737486778097913167999796592731039 has 100 digits

242355380828756339074413154604744316862988674757859102817722178754395061485605329697633938565770621210203281024794796878112782856272289978310305197529815985329<159>

29280977755803326376945837197201581147761587620188870809<56>
8276888253184197551452193094237256309018761282658803899132919322308458382648035622314785629468888632281<103>

Number: 1
N=242355380828756339074413154604744316862988674757859102817722178754395061485605329697633938565770621210203281024794796878112782856272289978310305197529815985329
  ( 159 digits)
SNFS difficulty: 169 digits.
Divisors found:
 r1=29280977755803326376945837197201581147761587620188870809 (pp56)
 r2=8276888253184197551452193094237256309018761282658803899132919322308458382648035622314785629468888632281 (pp103)
Version: Msieve-1.40
Total time: 63.76 hours.
Scaled time: 110.63 units (timescale=1.735).
Factorization parameters were as follows:
n: 242355380828756339074413154604744316862988674757859102817722178754395061485605329697633938565770621210203281024794796878112782856272289978310305197529815985329
m: 1000000000000000000000000000000000
deg: 5
c5: 77000
c0: -23
skew: 0.20
type: snfs
lss: 1
rlim: 4700000
alim: 4700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4700000/4700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2350000, 5850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 984175 x 984406
Total sieving time: 62.14 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.30 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,169.000,5,0,0,0,0,0,0,0,0,4700000,4700000,27,27,52,52,2.4,2.4,100000
total time: 63.76 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

95594333334741264472899208778446583514955098063400598906871501476574250830643385167514410572823407838870567708890545762872567<125>

9669540684139092884157203684067355109<37>
9886129699163916789399622654671764405884852536918735548881558635786171758621016819752363<88>

Number: c125
N = 95594333334741264472899208778446583514955098063400598906871501476574250830643385167514410572823407838870567708890545762872567 (125 digits)
SNFS difficulty: 171 digits.
Divisors found:
r1=9669540684139092884157203684067355109 (pp37)
r2=9886129699163916789399622654671764405884852536918735548881558635786171758621016819752363 (pp88)
Version: Msieve v. 1.47
Total time: 50.08 hours.
Factorization parameters were as follows:
n: 95594333334741264472899208778446583514955098063400598906871501476574250830643385167514410572823407838870567708890545762872567
m: 1000000000000000000000000000000000
deg: 5
c5: 770000
c0: -23
skew: 0.12
type: snfs
lss: 1
rlim: 4900000
alim: 4900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 27/27
Sieved rational special-q in [0, 0)
Total raw relations: 11086378
Relations: 1820094 relations
Pruned matrix : 1082750 x 1082977
Polynomial selection time: 0.00 hours.
Total sieving time: 46.80 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 2.70 hours.
time per square root: 0.44 hours.
Prototype def-par.txt line would be: snfs,171,5,0,0,0,0,0,0,0,0,4900000,4900000,27,27,52,52,2.4,2.4,100000
total time: 50.08 hours.
x86 Family 6 Model 23 Stepping 6, GenuineIntel
Windows-Vista-6.0.6002-SP2
processors: 2, speed: 2.09GHz

factmsieve.py Version76

Core2 Duo T8100 @2.1GHz WinVista32bit

56830383276786036165537118735494521330171857424061016200085264643933880958504741787797258186097261062883758614536094046205534713408481186153813<143>

107629781303958940336504788000611355674695611868441<51>
528017269832505432189576327180858795477189399540652981616725094443123146574408221766485396893<93>

Number: 85553_170
N=56830383276786036165537118735494521330171857424061016200085264643933880958504741787797258186097261062883758614536094046205534713408481186153813
  ( 143 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=107629781303958940336504788000611355674695611868441
 r2=528017269832505432189576327180858795477189399540652981616725094443123146574408221766485396893
Version: 
Total time: 67.12 hours.
Scaled time: 135.18 units (timescale=2.014).
Factorization parameters were as follows:
n: 56830383276786036165537118735494521330171857424061016200085264643933880958504741787797258186097261062883758614536094046205534713408481186153813
m: 10000000000000000000000000000000000
deg: 5
c5: 77
c0: -23
skew: 0.79
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor 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, 4750001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 864853 x 865101
Total sieving time: 67.12 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 67.12 hours.
 --------- CPU info (if available) ----------

504375068360943810890161869567992466690773959375562360895920104579044924351132155312619621561936762198195266595473359968918631241894591105538058914103<150>

6110337047721027822485783976079454550632760778293949871<55>
82544557595077437021999157133961941366751638382786852860894025945036662962850591522963610259193<95>

Number: n
N=504375068360943810890161869567992466690773959375562360895920104579044924351132155312619621561936762198195266595473359968918631241894591105538058914103
  ( 150 digits)
SNFS difficulty: 174 digits.
Divisors found:

Tue Jan 17 10:53:37 2012  prp55 factor: 6110337047721027822485783976079454550632760778293949871
Tue Jan 17 10:53:37 2012  prp95 factor: 82544557595077437021999157133961941366751638382786852860894025945036662962850591522963610259193
Tue Jan 17 10:53:37 2012  elapsed time 02:27:38 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.645).
Factorization parameters were as follows:
name: KA_85553_173
n: 504375068360943810890161869567992466690773959375562360895920104579044924351132155312619621561936762198195266595473359968918631241894591105538058914103
m: 10000000000000000000000000000000000
deg: 5
c5: 77000
c0: -23
skew: 0.20
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, 17200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 6937745 hash collisions in 75000097 relations
Msieve: matrix is 1129568 x 1129816 (313.8 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,174,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
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).

53071111110360018001576346499325210364582906845209704582867676461430864344155567312874087966913365809506581348227179822346352193111790780273592588692654053457<158>

12227946825417148655595223559<29>
4340148993782488965291768754010093218775293172033080629733781790313349252244459185730499986799914532092735775374721799192183432423<130>

Using B1=1500000, B2=2140044280, polynomial Dickson(6), sigma=595797723
Step 1 took 3906ms
Step 2 took 2194ms
********** Factor found in step 2: 12227946825417148655595223559
Found probable prime factor of 29 digits: 12227946825417148655595223559
Probable prime cofactor has 130 digits

680641606547658861967867600768006689878444040261524860603779105415854192847542633655183023062497841265834007096548756027292480113217753813801<141>

414649572402041675561772008482429709310625835933682780556837393<63>
1641486334122426022389664284632283664240373247329573359293025816491120891176857<79>

N = 680641606547658861967867600768006689878444040261524860603779105415854192847542633655183023062497841265834007096548756027292480113217753813801 (141 digits)
SNFS difficulty: 177 digits.
Divisors found:
r1=414649572402041675561772008482429709310625835933682780556837393 (pp63)
r2=1641486334122426022389664284632283664240373247329573359293025816491120891176857 (pp79)
Version: Msieve v. 1.48
Total time: 32.25 hours.
Factorization parameters were as follows:
name: (77*10^175-23)/9
n: 680641606547658861967867600768006689878444040261524860603779105415854192847542633655183023062497841265834007096548756027292480113217753813801
Y0: 100000000000000000000000000000000000
Y1: -1
c0: -23
c1: 0
c2: 0
c3: 0
c4: 0
c5: 77
skew: 0.79
type: snfs
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 20187371
Relations: 2415372 relations
Pruned matrix : 1368649 x 1368874
Polynomial selection time: 0.00 hours.
Total sieving time: 29.33 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 2.45 hours.
time per square root: 0.37 hours.
Prototype def-par.txt line would be: snfs,177,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,55,55,2.5,2.5,100000
total time: 32.25 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

122321314707015326981269974033776014817991174460527971624501874094903269788946646359184167518141151897800642163601128317015136851346354119719<141>

7995351588320833636096076702041<31>
15299053875966570677018468034912732057504595718121460270449934963623910348037570475778472508831364273031807359<110>

Using B1=1500000, B2=2140044280, polynomial Dickson(6), sigma=1064335913
Step 1 took 3326ms
Step 2 took 1956ms
********** Factor found in step 2: 7995351588320833636096076702041
Found probable prime factor of 31 digits: 7995351588320833636096076702041
Probable prime cofactor 15299053875966570677018468034912732057504595718121460270449934963623910348037570475778472508831364273031807359 has 110 digits

3153440771952802127099492544181702130280535834496039384061117532510202258478628359901467857452652438677997900941653399913075903240341484621454611<145>

150673010650452629331976494329957<33>

20929035388218872307990287219626197411060794125281548163416518264934474738686126803683383583734457013526074700823<113>

Using B1=1500000, B2=2140044280, polynomial Dickson(6), sigma=4092515503
Step 1 took 3318ms
Step 2 took 1955ms
********** Factor found in step 2: 150673010650452629331976494329957
Found probable prime factor of 33 digits: 150673010650452629331976494329957
Composite cofactor 20929035388218872307990287219626197411060794125281548163416518264934474738686126803683383583734457013526074700823 has 113 digits

20929035388218872307990287219626197411060794125281548163416518264934474738686126803683383583734457013526074700823<113>

4573527663051616727897945091508935055040741411579<49>
4576125242949616700831145487615697028329621969648016772614975637<64>

Number: 85553_177
N = 20929035388218872307990287219626197411060794125281548163416518264934474738686126803683383583734457013526074700823 (113 digits)
Divisors found:
r1=4573527663051616727897945091508935055040741411579 (pp49)
r2=4576125242949616700831145487615697028329621969648016772614975637 (pp64)
Version: Msieve v. 1.47
Total time: 18.85 hours.
Factorization parameters were as follows:
# Murphy_E = 7.736e-10, selected by Erik Branger
n: 20929035388218872307990287219626197411060794125281548163416518264934474738686126803683383583734457013526074700823
Y0: -8100633795816576004415
Y1: 552564813421
c0: -655331024016705489950611272
c1: -67399186701521307510132
c2: 169187151120004766
c3: -10877102677873
c4: 60038756
c5: 600
skew: 107496.73
type: gnfs
# selected mechanically
rlim: 3300000
alim: 3300000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
Factor base limits: 3300000/3300000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [1650000, 2550000)
Relations: 7463953
Relations in full relation-set: 791048 relations
Pruned matrix : 452941 x 453171
Polynomial selection time: 0.00 hours.
Total sieving time: 18.55 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.20 hours.
time per square root: 0.06 hours.
Prototype def-par.txt line would be: gnfs,112,5,61,2000,0.00016,0.25,250,15,50000,2800,3300000,3300000,27,27,50,50,2.5,2.5,100000
total time: 18.85 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

45824614141981168005572241505530649322222524960559212542632365391265459785417166675573044846482378033723165408203772978363755044770356525220129<143>

6202870895356874064017985263256846169<37>

7387645965077709192992785736915914574145928165108064148356250043721027964298457613062180735856351754968841<106>

Using B1=1500000, B2=2140044280, polynomial Dickson(6), sigma=3322919167
Step 1 took 3315ms
Step 2 took 1957ms
********** Factor found in step 2: 6202870895356874064017985263256846169
Found probable prime factor of 37 digits: 6202870895356874064017985263256846169
Composite cofactor 7387645965077709192992785736915914574145928165108064148356250043721027964298457613062180735856351754968841 has 106 digits

7387645965077709192992785736915914574145928165108064148356250043721027964298457613062180735856351754968841<106>

271061026575232769121860990752627357385761<42>
27254548757592320335997618568701960446190433014284581223918370281<65>

GMP-ECM 6.3 [configured with GMP 5.0.1 and --enable-asm-redc] [ECM]
Input number is 7387645965077709192992785736915914574145928165108064148356250043721027964298457613062180735856351754968841 (106 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1686469694
Step 1 took 9064ms
Step 2 took 5803ms
********** Factor found in step 2: 271061026575232769121860990752627357385761
Found probable prime factor of 42 digits: 271061026575232769121860990752627357385761
Probable prime cofactor 27254548757592320335997618568701960446190433014284581223918370281 has 65 digits

GMP-ECM

2173416096067798140014875919763895452538267044120075179631633540186320482320026119285240486388519444158171686506368210711<121>

9445933853441592971304739360935923995258861272253547<52>
230090124469368540504278942041011400157774521323580240820209963991813<69>

N = 2173416096067798140014875919763895452538267044120075179631633540186320482320026119285240486388519444158171686506368210711 (121 digits)
Divisors found:
r1=9445933853441592971304739360935923995258861272253547 (pp52)
r2=230090124469368540504278942041011400157774521323580240820209963991813 (pp69)
Version: Msieve v. 1.48
Total time: 15.10 hours.
Factorization parameters were as follows:
n: 2173416096067798140014875919763895452538267044120075179631633540186320482320026119285240486388519444158171686506368210711
Y0: -259809564721379946961501
Y1: 5416429054037
c0: 351969591224559066942417240
c1: 268735307249334728502874
c2: 14311852152019424599
c3: -109846836172028
c4: -1110083982
c5: 1836
skew: 99390.08
type: gnfs
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10680040
Relations: 1256360 relations
Pruned matrix : 727604 x 727831
Polynomial selection time: 0.00 hours.
Total sieving time: 14.40 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.61 hours.
time per square root: 0.04 hours.
Prototype def-par.txt line would be: gnfs,120,5,65,2000,1e-05,0.28,250,20,50000,3600,4400000,4400000,27,27,53,53,2.5,2.5,100000
total time: 15.10 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

4982221139503608151270075978756614339214921922773623516729891903564703428787028251572160373810399533149647874863890388728818307941928128825616221562029707977<157>

5539033941070153190715257634614399064469<40>
257651109432751605777875194958432260760414306666509957<54>
3491057137636613081680509972171166827141089754481223767644617569<64>

GMP-ECM 6.4.4 [configured with GMP 5.1.3, --enable-asm-redc] [ECM]
Input number is 4982221139503608151270075978756614339214921922773623516729891903564703428787028251572160373810399533149647874863890388728818307941928128825616221562029707977 (157 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2986108227
Step 1 took 31201ms
********** Factor found in step 1: 5539033941070153190715257634614399064469
Found probable prime factor of 40 digits: 5539033941070153190715257634614399064469
Composite cofactor 899474744605199581673447947426803945796495321970001902948216120369578968820789811066213405988984074046734161195634533 has 117 digits

Number: 85553_182
N=899474744605199581673447947426803945796495321970001902948216120369578968820789811066213405988984074046734161195634533
  ( 117 digits)
Divisors found:
 r1=257651109432751605777875194958432260760414306666509957
 r2=3491057137636613081680509972171166827141089754481223767644617569
Version: 
Total time: 12.49 hours.
Scaled time: 65.51 units (timescale=5.245).
Factorization parameters were as follows:
name: 85553_182
n: 899474744605199581673447947426803945796495321970001902948216120369578968820789811066213405988984074046734161195634533
skew: 40811.41
# norm 5.22e+16
c5: 238140
c4: -3319399782
c3: -2601761424261606
c2: 4711694112537679025
c1: 1046554471906740006473266
c0: 304891572080193487278937632
# alpha -6.80
Y1: 41897312479
Y0: -20674324440891658040315
# Murphy_E 4.01e-10
# M 732412033843167804936488854958406254734130422509994306255745567891493395056063182193221008611349958366026081784270299
type: gnfs
rlim: 3300000
alim: 3300000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 75000
Factor base limits: 3300000/3300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [1650000, 3000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9915572
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 545615 x 545863
Polynomial selection time: 1.74 hours.
Total sieving time: 9.79 hours.
Total relation processing time: 0.43 hours.
Matrix solve time: 0.28 hours.
Time per square root: 0.26 hours.
Prototype def-par.txt line would be:
gnfs,116,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3300000,3300000,27,27,53,53,2.5,2.5,75000
total time: 12.49 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49370224k/51380224k available (5223k kernel code, 1085960k absent, 924040k reserved, 7119k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.85 BogoMIPS (lpj=3399928)
Total of 12 processors activated (81598.27 BogoMIPS).

GMP-ECM v6.4.4 / GGNFS / Msieve v1.39

Core i7 4930K

611363299738648710305598784814301636222820699682715966504348656976836274097622948350953415264739890793024436047960083602085716073311764079939883335719710973021169359015555843<174>

6744382706193432641832885793386737167677761517184697668901<58>
90647777027425773029509550850435602579653517479739306740131823901260703866178973840768526489238057807840308662203143<116>

Number: n
N=611363299738648710305598784814301636222820699682715966504348656976836274097622948350953415264739890793024436047960083602085716073311764079939883335719710973021169359015555843
  ( 174 digits)
SNFS difficulty: 184 digits.
Divisors found:

Fri Feb  3 07:03:42 2012  prp58 factor: 6744382706193432641832885793386737167677761517184697668901
Fri Feb  3 07:03:42 2012  prp116 factor: 90647777027425773029509550850435602579653517479739306740131823901260703866178973840768526489238057807840308662203143
Fri Feb  3 07:03:42 2012  elapsed time 02:42:59 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.650).
Factorization parameters were as follows:
name: KA_85553_183
n: 611363299738648710305598784814301636222820699682715966504348656976836274097622948350953415264739890793024436047960083602085716073311764079939883335719710973021169359015555843
m: 1000000000000000000000000000000000000
deg: 5
c5: 77000
c0: -23
skew: 0.20
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 7256919 hash collisions in 77416218 relations (72731132 unique)
Msieve: matrix is 1195735 x 1195962 (335.7 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,184,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
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).

7797000948928697485373684398069668978379189679506225511279719777182577659183137183685897096667406768393128257636206160548297215088371793348804286197486087597232245743<166>

1603804871695906782854994284826700928333<40>
4861564574675432397143215571049192826261954923674407378894612640000278659872376704628832206607422813861379433772998026695497771<127>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3650749153
Step 1 took 7866ms
Step 2 took 3953ms
********** Factor found in step 2: 1603804871695906782854994284826700928333
Found probable prime factor of 40 digits: 1603804871695906782854994284826700928333
Probable prime cofactor has 127 digits

15947595966733927576696525071275459789225036447145793061378314877448657317299813850411480553389872050734461455846505015367121283451133851195428184932230918983<158>

1436265905544597864949559554052812807<37>
11103512173595026997118078981094902313990269960543412182229249461344839001541580335555744777913754704936412682669557387969<122>

Using B1=1500000, B2=2140044280, polynomial Dickson(6), sigma=1365518713
Step 1 took 3913ms
Step 2 took 2185ms
********** Factor found in step 2: 1436265905544597864949559554052812807
Found probable prime factor of 37 digits: 1436265905544597864949559554052812807
Probable prime cofactor has 122 digits

85555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555553<188>

504106143972812425289361732133376158168907891800725397301088159761754568427307358372243<87>
169717343417599287402084486471473568002237441316532695895311665864057742470086850200313290741687514171<102>

Number: 85553_187
N=85555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555553
  ( 188 digits)
SNFS difficulty: 188 digits.
Divisors found:
 r1=504106143972812425289361732133376158168907891800725397301088159761754568427307358372243 (pp87)
 r2=169717343417599287402084486471473568002237441316532695895311665864057742470086850200313290741687514171 (pp102)
Version: Msieve v. 1.42
Total time: 10.91 hours.
Scaled time: 11.17 units (timescale=1.024).
Factorization parameters were as follows:
name: 85553_187
n: 85555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555553
m: 10000000000000000000000000000000000000
deg: 5
c5: 7700
c0: -23
skew: 0.31
type: snfs
lss: 1
rlim: 9800000
alim: 9800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9800000/9800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4900000, 9800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1982630 x 1982852
Total sieving time: 0.00 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 10.35 hours.
Time per square root: 0.35 hours.
Prototype def-par.txt line would be:
snfs,188.000,5,0,0,0,0,0,0,0,0,9800000,9800000,28,28,54,54,2.5,2.5,100000
total time: 10.91 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU1: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU2: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU3: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
Memory: 3057976k/3145344k available (3786k kernel code, 496k absent, 86872k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 4788.28 BogoMIPS (lpj=2394141)
Calibrating delay using timer specific routine.. 4787.75 BogoMIPS (lpj=2393878)
Calibrating delay using timer specific routine.. 4787.78 BogoMIPS (lpj=2393891)
Calibrating delay using timer specific routine.. 4787.77 BogoMIPS (lpj=2393888)
Total of 4 processors activated (19151.59 BogoMIPS).

Total time: 9 days.

50716099909373110196884302244537128771638005549299662289270848003935632457946012085893911416546100972786636957998181241515621<125>

8838389541645762745876390026870691<34>
5738160744149488914053083230618113555622319279146594199888955689436083431912728027448646231<91>

GMP-ECM 6.3 [configured with GMP 5.0.1 and --enable-asm-redc] [ECM]
Input number is 50716099909373110196884302244537128771638005549299662289270848003935632457946012085893911416546100972786636957998181241515621 (125 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2339790961
Step 1 took 5008ms
Step 2 took 3634ms
********** Factor found in step 2: 8838389541645762745876390026870691
Found probable prime factor of 34 digits: 8838389541645762745876390026870691
Probable prime cofactor 5738160744149488914053083230618113555622319279146594199888955689436083431912728027448646231 has 91 digits

GMP-ECM

14535622723950072584837819883199614483330761313896576039566776637985951444567228747096494010541876015677235743278190061831935301396293278307703101535510778351859401946671486262833<179>

304661190724817869529240970286125668473481<42>
47710778945517961890606823606886008871507892572587503088373987737793833001715973943246137687593344062898656268694248164318230616205401193<137>

Number: n
N=14535622723950072584837819883199614483330761313896576039566776637985951444567228747096494010541876015677235743278190061831935301396293278307703101535510778351859401946671486262833
  ( 179 digits)
SNFS difficulty: 191 digits.
Divisors found:

Tue Mar  6 13:27:32 2012  prp42 factor: 304661190724817869529240970286125668473481
Tue Mar  6 13:27:32 2012  prp137 factor: 47710778945517961890606823606886008871507892572587503088373987737793833001715973943246137687593344062898656268694248164318230616205401193
Tue Mar  6 13:27:32 2012  elapsed time 04:08:47 (Msieve 1.44 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.660).
Factorization parameters were as follows:
name: KA_85553_190
n: 14535622723950072584837819883199614483330761313896576039566776637985951444567228747096494010541876015677235743278190061831935301396293278307703101535510778351859401946671486262833
m: 100000000000000000000000000000000000000
#  c179, diff: 191.89
skew: 0.79
deg: 5
c5: 77
c0: -23
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
qintsize: 100000
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 7897601 hash collisions in 77683054 relations (72243895 unique)
Msieve: matrix is 1280526 x 1280756 (360.2 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
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.. 5596.93 BogoMIPS (lpj=2798468)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.12 BogoMIPS (lpj=2797560)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Total of 8 processors activated (44762.71 BogoMIPS).

17689721047261927931009273017772404983407778460969643312415806524330757424722316933582004127578571714465172980462883074086941057269842920532351155968697316018063626518756676070138111<182>

35034408450165766778259688926019668953<38>
10694027464663730354644700210466342735774591665140870564782845216419<68>
47215533412999017320351536331211162726291711267983346620404213814292972834173<77>

N=17689721047261927931009273017772404983407778460969643312415806524330757424722316933582004127578571714465172980462883074086941057269842920532351155968697316018063626518756676070138111
  ( 182 digits)
SNFS difficulty: 193 digits.
Divisors found:
 r1=35034408450165766778259688926019668953 (pp38)
 r2=10694027464663730354644700210466342735774591665140870564782845216419 (pp68)
 r3=47215533412999017320351536331211162726291711267983346620404213814292972834173 (pp77)
Version: Msieve v. 1.48
Total time:
Scaled time: 23.52 units (timescale=0.466).
Factorization parameters were as follows:
n: 17689721047261927931009273017772404983407778460969643312415806524330757424722316933582004127578571714465172980462883074086941057269842920532351155968697316018063626518756676070138111
m: 100000000000000000000000000000000000000
deg: 5
c5: 7700
c0: -23
skew: 0.31
type: snfs
lss: 1
rlim: 11900000
alim: 11900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 320000
Factor base limits: 11900000/11900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [5950000, 24510001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2781517 x 2781716
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,193.000,5,0,0,0,0,0,0,0,0,11900000,11900000,28,28,55,55,2.5,2.5,100000
total time:

24137512855403023561679008548574241209377785781985991247247732278795329085778122668397304017277930217678744521002408732269516761319044154749420716953329<152>

534025873106372527922205728506692824036324112001950685746314634665347577<72>
45199144968384474232149621903217183325915938756281520501162193031528885561518777<80>

p72 factor: 534025873106372527922205728506692824036324112001950685746314634665347577
p80 factor: 45199144968384474232149621903217183325915938756281520501162193031528885561518777


Msieve v. 1.54 (SVN 1034)
random seeds: 8f12ce61 5c6afa41
factoring 24137512855403023561679008548574241209377785781985991247247732278795329085778122668397304017277930217678744521002408732269516761319044154749420716953329 (152 digits)
searching for 15-digit factors
commencing number field sieve (152-digit input)
R0: -500000000000000000000000000000000000000
R1: 1
A0: -115
A1: 0
A2: 0
A3: 0
A4: 0
A5: 1232
skew 1.00, size 6.202e-14, alpha 0.325, combined = 1.558e-11 rroots = 1

commencing relation filtering
estimated available RAM is 15892.2 MB
commencing duplicate removal, pass 1
found 582693 hash collisions in 35782273 relations
added 727931 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 36510204 unique relations
memory use: 144.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1219.2 MB
keeping 39874842 ideals with weight <= 200, target excess is 191806
commencing in-memory singleton removal
begin with 36510204 relations and 39874842 unique ideals
reduce to 13317333 relations and 12608007 ideals in 14 passes
max relations containing the same ideal: 105
removing 1596633 relations and 1353217 ideals in 243416 cliques
commencing in-memory singleton removal
begin with 11720700 relations and 12608007 unique ideals
reduce to 11552316 relations and 11082201 ideals in 9 passes
max relations containing the same ideal: 95
removing 1256194 relations and 1012778 ideals in 243416 cliques
commencing in-memory singleton removal
begin with 10296122 relations and 11082201 unique ideals
reduce to 10173363 relations and 9944040 ideals in 11 passes
max relations containing the same ideal: 87
relations with 0 large ideals: 3934
relations with 1 large ideals: 5751
relations with 2 large ideals: 57590
relations with 3 large ideals: 317704
relations with 4 large ideals: 1045364
relations with 5 large ideals: 2144256
relations with 6 large ideals: 2893278
relations with 7+ large ideals: 3705486
commencing 2-way merge
reduce to 6289261 relation sets and 6059938 unique ideals
commencing full merge
memory use: 728.3 MB
found 2935237 cycles, need 2916138
weight of 2916138 cycles is about 262780806 (90.11/cycle)
distribution of cycle lengths:
1 relations: 258902
2 relations: 266692
3 relations: 272750
4 relations: 259591
5 relations: 244533
6 relations: 219776
7 relations: 200491
8 relations: 177561
9 relations: 157246
10+ relations: 858596
heaviest cycle: 28 relations
commencing cycle optimization
start with 21554942 relations
pruned 723828 relations
memory use: 634.4 MB
distribution of cycle lengths:
1 relations: 258902
2 relations: 273266
3 relations: 283501
4 relations: 268154
5 relations: 253271
6 relations: 225840
7 relations: 205520
8 relations: 180244
9 relations: 159115
10+ relations: 808325
heaviest cycle: 28 relations
RelProcTime: 1017
elapsed time 00:16:59


Msieve v. 1.54 (SVN 1034)
random seeds: 73367765 c3cb8f1d
factoring 24137512855403023561679008548574241209377785781985991247247732278795329085778122668397304017277930217678744521002408732269516761319044154749420716953329 (152 digits)
searching for 15-digit factors
commencing number field sieve (152-digit input)
R0: -500000000000000000000000000000000000000
R1: 1
A0: -115
A1: 0
A2: 0
A3: 0
A4: 0
A5: 1232
skew 1.00, size 6.202e-14, alpha 0.325, combined = 1.558e-11 rroots = 1

commencing linear algebra
read 2916138 cycles
cycles contain 9944467 unique relations
read 9944467 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 1247.8 MB
read 2916138 cycles
matrix is 2915961 x 2916138 (1072.8 MB) with weight 315567115 (108.21/col)
sparse part has weight 249159865 (85.44/col)
filtering completed in 2 passes
matrix is 2915003 x 2915180 (1072.7 MB) with weight 315529031 (108.24/col)
sparse part has weight 249145084 (85.46/col)
matrix starts at (0, 0)
matrix is 2915003 x 2915180 (1072.7 MB) with weight 315529031 (108.24/col)
sparse part has weight 249145084 (85.46/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2914955 x 2915180 (1023.7 MB) with weight 260496816 (89.36/col)
sparse part has weight 239205469 (82.06/col)
using block size 8192 and superblock size 786432 for processor cache size 8192 kB
commencing Lanczos iteration (8 threads)
memory use: 977.8 MB
linear algebra at 0.1%, ETA 4h16m
checkpointing every 670000 dimensions
lanczos halted after 46103 iterations (dim = 2914953)
recovered 38 nontrivial dependencies
BLanczosTime: 15010
elapsed time 04:10:11


Msieve v. 1.54 (SVN 1034)
random seeds: db90ae5f be2ea9cd
factoring 24137512855403023561679008548574241209377785781985991247247732278795329085778122668397304017277930217678744521002408732269516761319044154749420716953329 (152 digits)
searching for 15-digit factors
commencing number field sieve (152-digit input)
R0: -500000000000000000000000000000000000000
R1: 1
A0: -115
A1: 0
A2: 0
A3: 0
A4: 0
A5: 1232
skew 1.00, size 6.202e-14, alpha 0.325, combined = 1.558e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1457332 cycles
cycles contain 4969234 unique relations
read 4969234 relations
multiplying 4969234 relations
multiply complete, coefficients have about 161.55 million bits
initial square root is modulo 627841
sqrtTime: 324
p72 factor: 534025873106372527922205728506692824036324112001950685746314634665347577
p80 factor: 45199144968384474232149621903217183325915938756281520501162193031528885561518777
elapsed time 00:05:25

CADO-NFS/Msieve

1256551538214946056566268808223057244062753407722140722330532808186593068981560462522127932375796458244251511517298518306448494145009815182193861483610278969050272425981730379441423<181>

176371382611938364835990189140492946073089<42>
7124463842185084781194218725716267037009530802209810328852770865408251211167590642955947842209785055643917121247409793410713256770098408207<139>

Number: n
N=1256551538214946056566268808223057244062753407722140722330532808186593068981560462522127932375796458244251511517298518306448494145009815182193861483610278969050272425981730379441423  ( 181 digits)
SNFS difficulty: 196 digits.
Divisors found:

Sun Feb 28 22:16:45 2021  p42 factor: 176371382611938364835990189140492946073089
Sun Feb 28 22:16:45 2021  p139 factor: 7124463842185084781194218725716267037009530802209810328852770865408251211167590642955947842209785055643917121247409793410713256770098408207
Sun Feb 28 22:16:45 2021  elapsed time 01:12:08 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.336).
Factorization parameters were as follows:
#
# N = 77x10^195-23 = 85(194)3
#
n: 1256551538214946056566268808223057244062753407722140722330532808186593068981560462522127932375796458244251511517298518306448494145009815182193861483610278969050272425981730379441423
m: 1000000000000000000000000000000000000000
deg: 5
c5: 77
c0: -23
skew: 0.79
# Murphy_E = 2.266e-11
type: snfs
lss: 1
rlim: 13400000
alim: 13400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13400000/13400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3122100 hash collisions in 26468886 relations (24832552 unique)
Msieve: matrix is 1749290 x 1749515 (611.3 MB)

Sieving start time: 2021/02/28 15:57:33
Sieving end time  : 2021/02/28 21:02:47

Total sieving time: 5hrs 5min 14secs.

Total relation processing time: 0hrs 59min 43sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 40sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13400000,13400000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116873] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241916K/16727236K available (14339K kernel code, 2400K rwdata, 4964K rodata, 2732K init, 4968K bss, 485320K reserved, 0K cma-reserved)
[    0.153556] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.16 BogoMIPS (lpj=12798332)
[    0.152039] smpboot: Total of 16 processors activated (102386.65 BogoMIPS)

10685537191826325329692145416798425781199891978353860273883717538592202098835134209063086772102771817266373665770395090880509026270802584228653325207758529927234818327<167>

1284720649759633542267311494283357208618442485879751667<55>
8317401291732603205005850076791216992747134944847308101770317412313774572905877019366025661935801030450350299981<112>

Number: n
N=10685537191826325329692145416798425781199891978353860273883717538592202098835134209063086772102771817266373665770395090880509026270802584228653325207758529927234818327  ( 167 digits)
SNFS difficulty: 197 digits.
Divisors found:

Sun Mar 28 04:36:58 2021  p55 factor: 1284720649759633542267311494283357208618442485879751667
Sun Mar 28 04:36:58 2021  p112 factor: 8317401291732603205005850076791216992747134944847308101770317412313774572905877019366025661935801030450350299981
Sun Mar 28 04:36:58 2021  elapsed time 01:21:34 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.330).
Factorization parameters were as follows:
#
# N = 77x10^196-23 = 85(195)3
#
n: 10685537191826325329692145416798425781199891978353860273883717538592202098835134209063086772102771817266373665770395090880509026270802584228653325207758529927234818327
m: 1000000000000000000000000000000000000000
deg: 5
c5: 770
c0: -23
skew: 0.50
# Murphy_E = 1.563e-11
type: snfs
lss: 1
rlim: 13900000
alim: 13900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13900000/13900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 26950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4176676 hash collisions in 29173021 relations (26447675 unique)
Msieve: matrix is 1910671 x 1910896 (666.8 MB)

Sieving start time : 2021/03/27 19:36:22
Sieving end time  : 2021/03/28 03:14:47

Total sieving time: 7hrs 38min 25secs.

Total relation processing time: 1hrs 10min 31sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 34sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13900000,13900000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119391] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241112K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486124K reserved, 0K cma-reserved)
[    0.153515] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.47 BogoMIPS (lpj=12798944)
[    0.152034] smpboot: Total of 16 processors activated (102391.55 BogoMIPS)

24839954307713518478857891188814603747889023590535533911329026557227578538110604015189155635258007022163383165851200204905632474974286778402168811126490038330381<161>

7680650153850874496959644309467285521793884183488512824749545609<64>
3234095266695544451481378792498599923105636927849410053348630518840273472240241702426386710251109<97>

24839954307713518478857891188814603747889023590535533911329026557227578538110604015189155635258007022163383165851200204905632474974286778402168811126490038330381=7680650153850874496959644309467285521793884183488512824749545609*3234095266695544451481378792498599923105636927849410053348630518840273472240241702426386710251109

cado polynomial
n: 24839954307713518478857891188814603747889023590535533911329026557227578538110604015189155635258007022163383165851200204905632474974286778402168811126490038330381
skew: 1.20
type: snfs
c0: -230
c6: 77
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 77*x^6-230
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 15000000
tasks.lim1 = 15000000
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: 7680650153850874496959644309467285521793884183488512824749545609 3234095266695544451481378792498599923105636927849410053348630518840273472240241702426386710251109
Info:Square Root: Total cpu/real time for sqrt: 1719.74/507.23
Info:Filtering - Singleton removal: Total cpu/real time for purge: 508.32/587.771
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 31431823
Info:Lattice Sieving: Average J: 1894.63 for 5816501 special-q, max bucket fill -bkmult 1.0,1s:1.178070
Info:Lattice Sieving: Total time: 1.26152e+06s
Info:Generate Factor Base: Total cpu/real time for makefb: 9.65/3.82356
Info:Linear Algebra: Total cpu/real time for bwc: 165311/42299.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 106119.15, WCT time 27052.92, iteration CPU time 0.27, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (95232 iterations)
Info:Linear Algebra: Lingen CPU time 655.49, WCT time 166.38
Info:Linear Algebra: Mksol: CPU time 57380.96,  WCT time 14656.63, iteration CPU time 0.29, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (47616 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 183.53/47.2363
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 136.56/163.098
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 162.10000000000002s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 617.42/641.885
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 523.5s
Info:Filtering - Merging: Merged matrix has 3043125 rows and total weight 517518431 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 841.13/233.011
Info:Filtering - Merging: Total cpu/real time for replay: 120.29/107.877
Info:Quadratic Characters: Total cpu/real time for characters: 105.2/45.1101
Info:Square Root: Total cpu/real time for sqrt: 1719.74/507.23
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.56576e+06/465910
Info:root: Cleaning up computation data in /tmp/cado.d4a07yga
7680650153850874496959644309467285521793884183488512824749545609 3234095266695544451481378792498599923105636927849410053348630518840273472240241702426386710251109

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)

6549833744463684623374150627818455735567293638127234606116477121527545792386403954015265660990054665143616567<109>

223368103603659496382008195967334699047<39>
29323048540921475743456138549770908514809768238000859893357660107810161<71>

Number: n
N=6549833744463684623374150627818455735567293638127234606116477121527545792386403954015265660990054665143616567
  ( 109 digits)
Divisors found:
prp39 factor: 223368103603659496382008195967334699047
prp71 factor: 29323048540921475743456138549770908514809768238000859893357660107810161
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 19.24 hours.
Scaled time: 24.40 units (timescale=1.268).
Factorization parameters were as follows:
name: KA_8_5_197_3
n: 6549833744463684623374150627818455735567293638127234606116477121527545792386403954015265660990054665143616567
skew: 36796.40
# norm 4.96e+14
c5: 840
c4: -734442542
c3: -5025059279659
c2: 970004974761421656
c1: 10300714679960153306496
c0: -65796941922790648107177637
# alpha -5.19
Y1: 59281309349
Y0: -1507971673537096318480
# Murphy_E 1.05e-09
# M 2020548205757230909322187023748506804129947011490821814469646477791756580407040379945150773266196671952705034
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 200000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [1600000, 2434339)
Primes: RFBsize:230209, AFBsize:230244, largePrimes:5548987 encountered
Relations: rels:4352552, finalFF:132315
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 19.08 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,108,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 19.24 hours.
 --------- CPU info (if available) ----------

103174851184797728953210777789592832580673961975530091583052023175252148903252034074050698950968753941188416043523716032573138899550208704355137258741379812310069898299777431428091<180>

92077225911489215888825885677647444965281309<44>
1120525191364651800622442017047153839907450791020129794461665500029070151832929602172825754258675245607464835594389345149074137171236599<136>

Number: n
N=103174851184797728953210777789592832580673961975530091583052023175252148903252034074050698950968753941188416043523716032573138899550208704355137258741379812310069898299777431428091
  ( 180 digits)
SNFS difficulty: 201 digits.
Divisors found:

Tue Sep 25 00:47:12 2012  prp44 factor: 92077225911489215888825885677647444965281309
Tue Sep 25 00:47:12 2012  prp136 factor: 1120525191364651800622442017047153839907450791020129794461665500029070151832929602172825754258675245607464835594389345149074137171236599
Tue Sep 25 00:47:12 2012  elapsed time 06:07:52 (Msieve 1.44 - dependency 3)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.091).
Factorization parameters were as follows:
name: KA_85553_200
n: 103174851184797728953210777789592832580673961975530091583052023175252148903252034074050698950968753941188416043523716032573138899550208704355137258741379812310069898299777431428091
m: 10000000000000000000000000000000000000000
#  c180, diff: 201.89
skew: 0.785
deg: 5
c5: 77
c0: -23
# Murphy_E = 1.402e-11
type: snfs
lss: 1
rlim: 16200000
alim: 16200000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 16200000/16200000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 27100000)
Primes: RFBsize:1043113, AFBsize:1044681,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9119546 hash collisions in 62882969 relations (56220662 unique)
Msieve: matrix is 1930971 x 1931199 (543.8 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,201,5,0,0,0,0,0,0,0,0,16200000,16200000,29,29,56,56,2.6,2.6,100000
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).

194171555960661044942158171611219424593625220068582805895713236251168286219518947208302345600963895966008820888134368822510748579046149844166664323851145299213848348780349021089197918549<186>

26530143913408802099229265303801<32>

7318903229263046702040691991776722095932197627964939797974118249475885428277427369812768951794524455109854670163637004332514578788026527740932978297292349<154>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1359493872
Step 1 took 12870ms
Step 2 took 8034ms
********** Factor found in step 2: 26530143913408802099229265303801
Found probable prime factor of 32 digits: 26530143913408802099229265303801
Composite cofactor 7318903229263046702040691991776722095932197627964939797974118249475885428277427369812768951794524455109854670163637004332514578788026527740932978297292349 has 154 digits

GMP-ECM 6.3

7318903229263046702040691991776722095932197627964939797974118249475885428277427369812768951794524455109854670163637004332514578788026527740932978297292349<154>

2524433736215839905274063117966049<34>
2281868244829073134621517861069009796791<40>
1270549135181907712526427770459036020021321179621125209367510080111516499353184011<82>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=804483114
Step 1 took 8221ms
Step 2 took 6209ms
********** Factor found in step 2: 2524433736215839905274063117966049
Found probable prime factor of 34 digits: 2524433736215839905274063117966049
Composite cofactor 2899225725066636526748659408374591591438619148367892544954757769576632531082993477556967501288799168295327382537940308701 has 121 digits

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1614608172
Step 1 took 13135ms
Step 2 took 8471ms
********** Factor found in step 2: 2281868244829073134621517861069009796791
Found probable prime factor of 40 digits: 2281868244829073134621517861069009796791
Probable prime cofactor 1270549135181907712526427770459036020021321179621125209367510080111516499353184011 has 82 digits

GMP-ECM 6.3

306615602567027833510477011613313825506469041185615473307542179479697434612064705925394763196403320236121253233545047069939517193187017954673726269521856748083599707839157022357<177>

927273684039938012506038180939791423<36>

330663543940088554003767941918538788162496634227246900561511592719479120686414154388924039527104197660499188091999353202140719760597514530859<141>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1442051079
Step 1 took 10686ms
Step 2 took 7036ms
********** Factor found in step 2: 927273684039938012506038180939791423
Found probable prime factor of 36 digits: 927273684039938012506038180939791423
Composite cofactor 330663543940088554003767941918538788162496634227246900561511592719479120686414154388924039527104197660499188091999353202140719760597514530859 has 141 digits

GMP-ECM 6.3

330663543940088554003767941918538788162496634227246900561511592719479120686414154388924039527104197660499188091999353202140719760597514530859<141>

845442257349109855254151408022716685677454644668152098502824090207<66>
391113102125846443860223978074488290694929029305999276595043905264543667637<75>

Number: 85553_203
N = 330663543940088554003767941918538788162496634227246900561511592719479120686414154388924039527104197660499188091999353202140719760597514530859 (141 digits)
Divisors found:
r1=845442257349109855254151408022716685677454644668152098502824090207 (pp66)
r2=391113102125846443860223978074488290694929029305999276595043905264543667637 (pp75)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 223.39 hours.
Factorization parameters were as follows:
# Murphy_E = 2.083e-11, selected by Erik Branger
# expecting poly E from 1.91e-011 to > 2.20e-011
n: 330663543940088554003767941918538788162496634227246900561511592719479120686414154388924039527104197660499188091999353202140719760597514530859
Y0: -1940681783032992683266954158
Y1: 2062296842168219
c0: -35687697084873477254451737822284625
c1: -175955064557300168701181613705
c2: 59415579003573063323881
c3: 85709532945463293
c4: -17008974776
c5: 12012
skew: 1623893.33
type: gnfs
# selected mechanically
rlim: 18800000
alim: 18800000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18800000/18800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23183344
Relations: 3579356 relations
Pruned matrix : 2227668 x 2227894
Polynomial selection time: 0.00 hours.
Total sieving time: 220.04 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 2.50 hours.
time per square root: 0.67 hours.
Prototype def-par.txt line would be: gnfs,140,5,65,2000,1e-05,0.28,250,20,50000,3600,18800000,18800000,28,28,56,56,2.6,2.6,100000
total time: 223.39 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-8-6.2.9200
processors: 8, speed: 3.50GHz

GGNFS, Msieve

1139962554584834822204987471422571340906076646655132442771573334948352282960123250454402323930339471654642844171990663760849372475482133934306995033378527691353633247277177142018619665977<187>

236393475803458724401709456669251<33>
4822309713541408074368528166479917118618324716652013505544428866502307726600450993802641497157810214975612617792509486683259600986223312316639221320246227<154>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1805831472
Step 1 took 32313ms
Step 2 took 11505ms
********** Factor found in step 2: 236393475803458724401709456669251
Found probable prime factor of 33 digits: 236393475803458724401709456669251

1072754553923674384941217647805592339834971119712316650969258843737509031769152067035430413415278326493497868801611768270264585525816456857957184615599553575263939035351919067842143<181>

754896951252069434940337082369673283373600678363991187<54>
1421060917181354945665314198052375769839641124257090689868530144774505019689415937037384333863347661668344262994407529231059589<127>

Number: n
N=1072754553923674384941217647805592339834971119712316650969258843737509031769152067035430413415278326493497868801611768270264585525816456857957184615599553575263939035351919067842143  ( 181 digits)
SNFS difficulty: 206 digits.
Divisors found:

Sat Oct 30 01:47:29 2021  p54 factor: 754896951252069434940337082369673283373600678363991187
Sat Oct 30 01:47:29 2021  p127 factor: 1421060917181354945665314198052375769839641124257090689868530144774505019689415937037384333863347661668344262994407529231059589
Sat Oct 30 01:47:29 2021  elapsed time 02:08:04 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.333).
Factorization parameters were as follows:
#
# N = 77x10^205-23 = 85(204)3
#
n: 1072754553923674384941217647805592339834971119712316650969258843737509031769152067035430413415278326493497868801611768270264585525816456857957184615599553575263939035351919067842143
m: 100000000000000000000000000000000000000000
deg: 5
c5: 77
c0: -23
skew: 0.79
# Murphy_E = 8.635e-12
type: snfs
lss: 1
rlim: 19600000
alim: 19600000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19600000/19600000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 44200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9609043 hash collisions in 63953936 relations (56760401 unique)
Msieve: matrix is 2353727 x 2353956 (813.6 MB)

Sieving start time : 2021/10/29 06:45:18
Sieving end time  : 2021/10/29 23:35:54

Total sieving time: 16hrs 50min 36secs.

Total relation processing time: 1hrs 46min 18sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 38sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19600000,19600000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118892] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2728K init, 4972K bss, 487280K reserved, 0K cma-reserved)
[    0.152618] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.04 BogoMIPS (lpj=12798084)
[    0.150210] smpboot: Total of 16 processors activated (102384.67 BogoMIPS)

1270122944092333463463278965893233420198565403853016090517236878467565493633238162087134844210267444000148697096634125502313060674451337099269659131947283528140205667122026669270258407905361<190>

339252314254152940951546671200401<33>

3743888812917022906628789216897035355381934613387384752219273256357309910755095208936341595410909264735386501719678599008716974320690104533665519580856320961<157>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3617826932
Step 1 took 12652ms
Step 2 took 7784ms
********** Factor found in step 2: 339252314254152940951546671200401
Found probable prime factor of 33 digits: 339252314254152940951546671200401
Composite cofactor 3743888812917022906628789216897035355381934613387384752219273256357309910755095208936341595410909264735386501719678599008716974320690104533665519580856320961 has 157 digits

GMP-ECM 6.3

1032223343043158028936187490242189176564323887343206418396071304813948816023123445986185446593623098472381466026587871378144048132151255442382097184935025263438030244013475479680996258743855590037<196>

5005478111119455155056965093690017<34>

206218730784201832757692009301661802803475982900476889826192478597296758284857278177771839903157837059123752045105968614874091769263265846831961215770325924147061<162>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1674924284
Step 1 took 14243ms
Step 2 took 8034ms
********** Factor found in step 2: 5005478111119455155056965093690017
Found probable prime factor of 34 digits: 5005478111119455155056965093690017
Composite cofactor 206218730784201832757692009301661802803475982900476889826192478597296758284857278177771839903157837059123752045105968614874091769263265846831961215770325924147061 has 162 digits

GMP-ECM 6.3

206218730784201832757692009301661802803475982900476889826192478597296758284857278177771839903157837059123752045105968614874091769263265846831961215770325924147061<162>

168129362576953792323544257961627943563364434164226756796712868091531787861191<78>
1226547984382051730510152826146129597948370821879959530541472661168008787345010777571<85>

11/16/24 19:14:05 v1.34.5 @ TRIGKEY,
11/16/24 19:14:05 v1.34.5 @ TRIGKEY, ****************************
11/16/24 19:14:05 v1.34.5 @ TRIGKEY, Starting factorization of 76999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977
11/16/24 19:14:05 v1.34.5 @ TRIGKEY, using pretesting plan: normal
11/16/24 19:14:05 v1.34.5 @ TRIGKEY, no tune info: using qs/gnfs crossover of 100 digits
11/16/24 19:14:05 v1.34.5 @ TRIGKEY, ****************************
11/16/24 19:14:05 v1.34.5 @ TRIGKEY, div: found prime factor = 3
11/16/24 19:14:05 v1.34.5 @ TRIGKEY, div: found prime factor = 3
11/16/24 19:14:05 v1.34.5 @ TRIGKEY, div: found prime factor = 3
11/16/24 19:14:05 v1.34.5 @ TRIGKEY, div: found prime factor = 17
11/16/24 19:14:05 v1.34.5 @ TRIGKEY, div: found prime factor = 67
11/16/24 19:14:05 v1.34.5 @ TRIGKEY, rho: x^2 + 3, starting 1000 iterations on C205
11/16/24 19:14:05 v1.34.5 @ TRIGKEY, rho: x^2 + 2, starting 1000 iterations on C205
11/16/24 19:14:05 v1.34.5 @ TRIGKEY, prp5 = 35023
11/16/24 19:14:05 v1.34.5 @ TRIGKEY, rho: x^2 + 2, starting 1000 iterations on C200
11/16/24 19:14:05 v1.34.5 @ TRIGKEY, prp5 = 69259
11/16/24 19:14:05 v1.34.5 @ TRIGKEY, rho: x^2 + 2, starting 1000 iterations on C196
11/16/24 19:14:05 v1.34.5 @ TRIGKEY, rho: x^2 + 1, starting 1000 iterations on C196
11/16/24 19:14:05 v1.34.5 @ TRIGKEY, pm1: starting B1 = 150K, B2 = gmp-ecm default on C196
11/16/24 19:14:05 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 0.00
11/16/24 19:14:05 v1.34.5 @ TRIGKEY, scheduled 30 curves at B1=2000 toward target pretesting depth of 60.31
11/16/24 19:14:05 v1.34.5 @ TRIGKEY, Finished 30 curves using Lenstra ECM method on C196 input, B1=2K, B2=gmp-ecm default
11/16/24 19:14:05 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 15.18
11/16/24 19:14:05 v1.34.5 @ TRIGKEY, scheduled 74 curves at B1=11000 toward target pretesting depth of 60.31
11/16/24 19:14:07 v1.34.5 @ TRIGKEY, Finished 74 curves using Lenstra ECM method on C196 input, B1=11K, B2=gmp-ecm default
11/16/24 19:14:07 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 20.24
11/16/24 19:14:07 v1.34.5 @ TRIGKEY, scheduled 214 curves at B1=50000 toward target pretesting depth of 60.31
11/16/24 19:14:36 v1.34.5 @ TRIGKEY, Finished 214 curves using Lenstra ECM method on C196 input, B1=50K, B2=gmp-ecm default
11/16/24 19:14:36 v1.34.5 @ TRIGKEY, pm1: starting B1 = 3750K, B2 = gmp-ecm default on C196
11/16/24 19:14:38 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 25.33
11/16/24 19:14:38 v1.34.5 @ TRIGKEY, scheduled 430 curves at B1=250000 toward target pretesting depth of 60.31
11/16/24 19:18:12 v1.34.5 @ TRIGKEY, prp34 = 5005478111119455155056965093690017 (curve 351 stg2 B1=250000 sigma=2034905064 thread=0)
11/16/24 19:18:12 v1.34.5 @ TRIGKEY, Finished 351 curves using Lenstra ECM method on C196 input, B1=250K, B2=gmp-ecm default
11/16/24 19:18:12 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 29.41
11/16/24 19:18:12 v1.34.5 @ TRIGKEY, scheduled 79 curves at B1=250000 toward target pretesting depth of 49.85
11/16/24 19:18:49 v1.34.5 @ TRIGKEY, Finished 79 curves using Lenstra ECM method on C162 input, B1=250K, B2=gmp-ecm default
11/16/24 19:18:49 v1.34.5 @ TRIGKEY, pm1: starting B1 = 15M, B2 = gmp-ecm default on C162
11/16/24 19:18:52 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 30.45
11/16/24 19:18:52 v1.34.5 @ TRIGKEY, scheduled 904 curves at B1=1000000 toward target pretesting depth of 49.85
11/16/24 19:19:42 v1.34.5 @ TRIGKEY, nfs: commencing nfs on c209: 76999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977
11/16/24 19:19:42 v1.34.5 @ TRIGKEY, nfs: input divides 77*10^207 - 23
11/16/24 19:19:42 v1.34.5 @ TRIGKEY, nfs: using supplied cofactor: 206218730784201832757692009301661802803475982900476889826192478597296758284857278177771839903157837059123752045105968614874091769263265846831961215770325924147061
11/16/24 19:19:42 v1.34.5 @ TRIGKEY, nfs: commencing snfs on c162: 206218730784201832757692009301661802803475982900476889826192478597296758284857278177771839903157837059123752045105968614874091769263265846831961215770325924147061
11/16/24 19:19:43 v1.34.5 @ TRIGKEY, gen: best 3 polynomials:
n: 206218730784201832757692009301661802803475982900476889826192478597296758284857278177771839903157837059123752045105968614874091769263265846831961215770325924147061
# 77*10^207-23, difficulty: 210.89, anorm: 8.35e+026, rnorm: 1.79e+047
# scaled difficulty: 214.27, suggest sieving rational side
# size = 9.403e-015, alpha = 0.231, combined = 4.719e-012, rroots = 1
type: snfs
size: 210
skew: 0.3126
c5: 7700
c0: -23
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
n: 206218730784201832757692009301661802803475982900476889826192478597296758284857278177771839903157837059123752045105968614874091769263265846831961215770325924147061
# 77*10^207-23, difficulty: 211.89, anorm: -1.50e+033, rnorm: 1.97e+040
# scaled difficulty: 213.07, suggest sieving rational side
# size = 1.440e-010, alpha = -1.662, combined = 4.321e-012, rroots = 2
type: snfs
size: 211
skew: 0.2585
c6: 77000
c0: -23
Y1: -1
Y0: 10000000000000000000000000000000000
m: 10000000000000000000000000000000000
n: 206218730784201832757692009301661802803475982900476889826192478597296758284857278177771839903157837059123752045105968614874091769263265846831961215770325924147061
# 77*10^207-23, difficulty: 209.79, anorm: 1.08e+027, rnorm: 2.53e+047
# scaled difficulty: 213.18, suggest sieving rational side
# size = 8.060e-015, alpha = -0.000, combined = 4.291e-012, rroots = 1
type: snfs
size: 209
skew: 0.6253
c5: 1925
c0: -184
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
11/16/24 19:19:44 v1.34.5 @ TRIGKEY, test: fb generation took 1.7368 seconds
11/16/24 19:19:44 v1.34.5 @ TRIGKEY, test: commencing test sieving of polynomial 0 on the rational side over range 22600000-22602000
skew: 0.3126
c5: 7700
c0: -23
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
rlim: 22600000
alim: 22600000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
11/16/24 19:22:43 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file
11/16/24 19:22:45 v1.34.5 @ TRIGKEY, test: fb generation took 2.4858 seconds
11/16/24 19:22:45 v1.34.5 @ TRIGKEY, test: commencing test sieving of polynomial 1 on the rational side over range 22600000-22602000
skew: 0.2585
c6: 77000
c0: -23
Y1: -1
Y0: 10000000000000000000000000000000000
m: 10000000000000000000000000000000000
rlim: 22600000
alim: 22600000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
11/16/24 19:25:36 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file
11/16/24 19:25:37 v1.34.5 @ TRIGKEY, test: fb generation took 1.6164 seconds
11/16/24 19:25:37 v1.34.5 @ TRIGKEY, test: commencing test sieving of polynomial 2 on the rational side over range 21400000-21402000
skew: 0.6253
c5: 1925
c0: -184
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
11/16/24 19:28:34 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file
11/16/24 19:28:34 v1.34.5 @ TRIGKEY, gen: selected polynomial:
n: 206218730784201832757692009301661802803475982900476889826192478597296758284857278177771839903157837059123752045105968614874091769263265846831961215770325924147061
# 77*10^207-23, difficulty: 209.79, anorm: 1.08e+027, rnorm: 2.53e+047
# scaled difficulty: 213.18, suggest sieving rational side
# size = 8.060e-015, alpha = -0.000, combined = 4.291e-012, rroots = 1
type: snfs
size: 209
skew: 0.6253
c5: 1925
c0: -184
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
11/18/24 16:33:32 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
11/18/24 16:35:31 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 22133629
11/18/24 19:23:17 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
11/18/24 19:25:22 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 23352526
11/18/24 22:13:02 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
11/18/24 22:15:11 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 24554540
11/19/24 01:19:33 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
11/19/24 01:21:47 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 25859639
11/19/24 04:41:31 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
11/19/24 04:43:49 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 27266011
11/19/24 08:02:09 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
11/19/24 08:06:33 v1.34.5 @ TRIGKEY, nfs: commencing msieve linear algebra
11/19/24 11:46:57 v1.34.5 @ TRIGKEY, nfs: commencing msieve sqrt
11/19/24 11:50:45 v1.34.5 @ TRIGKEY, prp85 = 1226547984382051730510152826146129597948370821879959530541472661168008787345010777571
11/19/24 11:50:45 v1.34.5 @ TRIGKEY, prp78 = 168129362576953792323544257961627943563364434164226756796712868091531787861191
11/19/24 11:50:46 v1.34.5 @ TRIGKEY, NFS elapsed time = 232263.1833 seconds.
11/19/24 11:50:46 v1.34.5 @ TRIGKEY,
11/19/24 11:50:46 v1.34.5 @ TRIGKEY,
11/16/24 19:28:34 v1.34.5 @ TRIGKEY, test: test sieving took 531.43 seconds

YAFU

20467011741311991263107862984460465003826990433203155661506323131111728392367226172866470852448336288536451479301987831519775240770414356514256820355157513736514132964441461<173>

2535173748424501080317926746470252494948956853592913223608054146695827173404502322608650912227855563238059839333228345844322192319000479519662086630479709512877975741576108957658546586491111<190>

145821737676418357109386130360574838295016739<45>
116991172040100702530928563487924730203433511963605597<54>
148604639363358164680051174374107546183136699152634040820475735146067279533671429098013224017<93>

#
# N = 77x10^209-23 = 85(208)3
#
n: 2535173748424501080317926746470252494948956853592913223608054146695827173404502322608650912227855563238059839333228345844322192319000479519662086630479709512877975741576108957658546586491111
m: 500000000000000000000000000000000000000000
deg: 5
c5: 1232
c0: -115
skew: 0.62
# Murphy_E = 4.084e-12
type: snfs
lss: 1
rlim: 24000000
alim: 24000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 2535173748424501080317926746470252494948956853592913223608054146695827173404502322608650912227855563238059839333228345844322192319000479519662086630479709512877975741576108957658546586491111 (190 digits)
Using B1=45230000, B2=240492732496, polynomial Dickson(12), sigma=1:2980425570
Step 1 took 123058ms
Step 2 took 39887ms
********** Factor found in step 2: 145821737676418357109386130360574838295016739
Found prime factor of 45 digits: 145821737676418357109386130360574838295016739
Composite cofactor 17385430929715755979514135095933729566577405147009133487882420278281500106601071678809202402058823424238120174898408074929972734042037929796023149 has 146 digits



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 17385430929715755979514135095933729566577405147009133487882420278281500106601071678809202402058823424238120174898408074929972734042037929796023149 (146 digits)
Using B1=60470000, B2=388129104100, polynomial Dickson(30), sigma=1:3019541093
Step 1 took 113515ms
Step 2 took 51789ms
********** Factor found in step 2: 116991172040100702530928563487924730203433511963605597
Found prime factor of 54 digits: 116991172040100702530928563487924730203433511963605597
Prime cofactor 148604639363358164680051174374107546183136699152634040820475735146067279533671429098013224017 has 93 digits

1402550091074681238615664845173041894353369763205828779599271402550091074681238615664845173041894353369763205828779599271402550091074681238615664845173041894353369763205828779599271402550091074681238615664845173<211>

5283384238306743717366554363749990027<37>
265464336457985950712959769663623600574682580661875697678821988123129873509712525998394959186461585744755404919489834562170874940918263691352633065237298762631216420236697599<174>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=9819060
Step 1 took 34907ms
Step 2 took 12177ms
********** Factor found in step 2: 5283384238306743717366554363749990027
Found probable prime factor of 37 digits: 5283384238306743717366554363749990027

687389853325018233593891822768320501684553417029213059195942982378233426711468726914248903260807375357322843384946645902533176738033153292370420404555322666712720715582528615561768701038654111728100548901<204>

21297699128090317364792528676082589771<38>
32275310548377243119316071059163704968582417772950540277467198713009005389925587941842992147948632274362614581512158832180009566377718509970243891475578776075814846031<167>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2851595079
Step 1 took 14820ms
Step 2 took 8783ms
********** Factor found in step 2: 21297699128090317364792528676082589771
Found probable prime factor of 38 digits: 21297699128090317364792528676082589771
Probable prime cofactor 32275310548377243119316071059163704968582417772950540277467198713009005389925587941842992147948632274362614581512158832180009566377718509970243891475578776075814846031 has 167 digits

GMP-ECM 6.3

605808491305524661804610969441368994139550687349126552052174740669517931368218314293100665703832281051091598177579772843245200118036484658750721767053488921995630689962110366971403951<183>

1417878723610345484051309763336607<34>

427263969208137999331968304286330856723766244470504981171770980197876930829340332580839035736465808219684588225857824749721764667425402707684035428593<150>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=398477661
Step 1 took 10421ms
********** Factor found in step 1: 1417878723610345484051309763336607
Found probable prime factor of 34 digits: 1417878723610345484051309763336607
Composite cofactor 427263969208137999331968304286330856723766244470504981171770980197876930829340332580839035736465808219684588225857824749721764667425402707684035428593 has 150 digits

GMP-ECM 6.3

427263969208137999331968304286330856723766244470504981171770980197876930829340332580839035736465808219684588225857824749721764667425402707684035428593<150>

1763036480294681075540556218888461586637266319940943821571<58>
242345506734337887753220231339206714245293849536083661811768115510794117509906291695768844283<93>

Number: 1
N=427263969208137999331968304286330856723766244470504981171770980197876930829340332580839035736465808219684588225857824749721764667425402707684035428593
  ( 150 digits)
Divisors found:
 r1=1763036480294681075540556218888461586637266319940943821571 (pp58)
 r2=242345506734337887753220231339206714245293849536083661811768115510794117509906291695768844283 (pp93)
Version: Msieve v. 1.52 (SVN 927)
Total time: 838.89 hours.
Scaled time: 6584.43 units (timescale=7.849).
Factorization parameters were as follows:
# Murphy_E = 7.312e-12, selected by Maksym Voznyy
# Dylan Delgado's poly found and optimized by CADO-NFS # lognorm 44.82, E 38.38, alpha -6.43 (proj -2.21), 5 real roots
n: 427263969208137999331968304286330856723766244470504981171770980197876930829340332580839035736465808219684588225857824749721764667425402707684035428593
Y0: -119563282924080646990893694767
Y1: 651293917593566978249
c0: 21089877105243482486126313707696100
c1: 2500395763438074243313059160
c2: -346340840043784879603377
c3: 109254030483544223
c4: 359231846754
c5: 102960
skew: 1033666.69654
type: gnfs
# selected mechanically
rlim: 33000000
alim: 33000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6Factor base limits: 33000000/33000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved algebraic special-q in [16500000, 30700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 4332862 x 4333090
Total sieving time: 833.91 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 4.49 hours.
Time per square root: 0.35 hours.
Prototype def-par.txt line would be:
gnfs,149,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,33000000,33000000,29,29,57,57,2.6,2.6,100000
total time: 838.89 hours.

GNFS, Msieve

1922467149530493574715312575681539571614398030594691493956712031897974418703358325406277229749804632396817193347764320507731064322754770589748007000776476991563614937320080793554491956846854269499933837169529145351<214>

1634063934279215095553176028334137<34>
1176494449942372061714490963588151491703936852264866104519300627609444674872055814879741882984269347301243671977713668479605280653272816261281374895758932842882027187674004571394623<181>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=632786957
Step 1 took 17269ms
Step 2 took 9625ms
********** Factor found in step 2: 1634063934279215095553176028334137
Found probable prime factor of 34 digits: 1634063934279215095553176028334137
Probable prime cofactor 1176494449942372061714490963588151491703936852264866104519300627609444674872055814879741882984269347301243671977713668479605280653272816261281374895758932842882027187674004571394623 has 181 digits

GMP-ECM 6.3

109891046099504667729116492569711456438174019701560122028527319334870178465971230925227284943532069134126484319507585220579375687558208204522491452539299224439173412877291586557001827591237<189>

55995874912168647749362944139973311<35>
1962484670020288995718768969298798597110957958297878205510673793453207988033753499143076942254887853981845693070545408841948329684943941873953270958505467<154>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3396413254
Step 1 took 12807ms
Step 2 took 8128ms
********** Factor found in step 2: 55995874912168647749362944139973311
Found probable prime factor of 35 digits: 55995874912168647749362944139973311
Probable prime cofactor 1962484670020288995718768969298798597110957958297878205510673793453207988033753499143076942254887853981845693070545408841948329684943941873953270958505467 has 154 digits

GMP-ECM 6.3

244582456544818700813318017113630313191601992042938458210246910055104277596566897566397723798706018396285557657740908349666716652249232712596246646836702434944958391260617398042207602753995656552679<198>

96748621696677096165638958026594484761325645902925213384128149917501479<71>
2528020061222423268569371706834793753743367418832394569318456516406277927903395250918360309971560150550604181092926291414292801<127>

Number: 85553_220
N = 244582456544818700813318017113630313191601992042938458210246910055104277596566897566397723798706018396285557657740908349666716652249232712596246646836702434944958391260617398042207602753995656552679 (198 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=96748621696677096165638958026594484761325645902925213384128149917501479 (pp71)
r2=2528020061222423268569371706834793753743367418832394569318456516406277927903395250918360309971560150550604181092926291414292801 (pp127)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 89.98 hours.
Factorization parameters were as follows:
n: 244582456544818700813318017113630313191601992042938458210246910055104277596566897566397723798706018396285557657740908349666716652249232712596246646836702434944958391260617398042207602753995656552679
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 77
c0: -23
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/28
Relations: 7609206 relations
Pruned matrix : 6812660 x 6812885
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 41.81 hours.
Total relation processing time: 0.47 hours.
Matrix solve time: 47.23 hours.
time per square root: 0.47 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: 89.98 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 8, speed: 3.50GHz

GGNFS; NFS_factory, Msieve

90212410392422813617293883094791803230096359741786306482488072337699965473250204354541333744795651902409854663120498825422700793201405298467759783330878852816812219118680986773806205699994997311787329280335768248301107<218>

9818065108811573837360630107213356477767<40>

9188410281722256860156145008676744631395474780872267182017025053152784466041340783047402266989365176504577766519019463772232745543346613885461790137859375972644115726114673604021<178>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=707526583
Step 1 took 42479ms
Step 2 took 13891ms
********** Factor found in step 2: 9818065108811573837360630107213356477767
Found probable prime factor of 40 digits: 9818065108811573837360630107213356477767

9188410281722256860156145008676744631395474780872267182017025053152784466041340783047402266989365176504577766519019463772232745543346613885461790137859375972644115726114673604021<178>

17486107232153253139899565371892783248037<41>

525469171596220888352413407310976140255989710274761224116534710026144758188305654086945049628501142360138611280597442799165093332689492433<138>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=247700497
Step 1 took 13786ms
Step 2 took 5173ms
********** Factor found in step 2: 17486107232153253139899565371892783248037
Found probable prime factor of 41 digits: 17486107232153253139899565371892783248037
Composite cofactor

525469171596220888352413407310976140255989710274761224116534710026144758188305654086945049628501142360138611280597442799165093332689492433<138>

8558047750281694955127257996101909568235719394600404894162998373029<67>
61400588887684653573113080943861704453911906082028181716875352141874877<71>

Number: 85553_223
N = 525469171596220888352413407310976140255989710274761224116534710026144758188305654086945049628501142360138611280597442799165093332689492433 (138 digits)
Divisors found:
r1=8558047750281694955127257996101909568235719394600404894162998373029 (pp67)
r2=61400588887684653573113080943861704453911906082028181716875352141874877 (pp71)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 161.85 hours.
Factorization parameters were as follows:
# Murphy_E = 2.707e-11, selected by Erik Branger
# expecting poly E from 2.83e-011 to > 3.25e-011
n: 525469171596220888352413407310976140255989710274761224116534710026144758188305654086945049628501142360138611280597442799165093332689492433
Y0: -510738294449173800286970036
Y1: 802657939232699
c0: -25421604353353525849475686673132985
c1: 137697970179038454183530287729
c2: -206269148867745563616353
c3: -61716672824086545
c4: 74019313674
c5: 15120
skew: 1708710.22
type: gnfs
# selected mechanically
rlim: 15800000
alim: 15800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 15800000/15800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23243106
Relations: 3910174 relations
Pruned matrix : 2379222 x 2379449
Polynomial selection time: 0.00 hours.
Total sieving time: 157.70 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 3.91 hours.
time per square root: 0.11 hours.
Prototype def-par.txt line would be: gnfs,137,5,65,2000,1e-05,0.28,250,20,50000,3600,15800000,15800000,28,28,55,55,2.6,2.6,100000
total time: 161.85 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz

GGNFS, Msieve

100385151947618074344789418934893338672735482535019458545341172698995492453508774697502980531646809398089297256877725923807779574152712548726724711474548936567678211661751<171>

10861065416558460098361313023973651210665491<44>
9242661571172735182670772090671062408475478004386918096785322759004483982731600389088133355794066835582824121867560981709814861<127>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3791956778
Step 1 took 12227ms
Step 2 took 5834ms
********** Factor found in step 2: 10861065416558460098361313023973651210665491
Found probable prime factor of 44 digits: 10861065416558460098361313023973651210665491
Probable prime cofactor 

64246814567840047125455672618257943451121941288423975576197973638781046021578585952642588295565384483810219916011891501314556575995220704495524833896953115678475564933921734029868928154539454636325482706342829346276146159<221>

3073573396069961905483883096746128737<37>
20902970675757903868421536195206268520065426794998658635564331121867792337534801042277746306231765125304016226769191414775902261889830154768400169562201041094248891191743334146433885007<185>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=876135932
Step 1 took 17332ms
Step 2 took 9906ms
********** Factor found in step 2: 3073573396069961905483883096746128737
Found probable prime factor of 37 digits: 3073573396069961905483883096746128737
Probable prime cofactor 20902970675757903868421536195206268520065426794998658635564331121867792337534801042277746306231765125304016226769191414775902261889830154768400169562201041094248891191743334146433885007 has 185 digits

GMP-ECM 6.3

20986532300170145150935109207584973403761680533027459582769235324490548612759569345445509799104327063394234706276734988465057269948060338496766275767131020792104154577756374526541<179>

23178924523678637539924989046247019346528884177967047231194307930362304309461766982300188836439101559979204118292238488232870964758041373890244065889946770281703794591516353001017048712711976830040693<200>

2901316649414092547360420795345903099<37>

7989105404389249941498040131572094612122312862960957660842502235771454738710258641318402578513780573646497216012869530801413239944090959554489828179142082872381007<163>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1529477774
Step 1 took 14929ms
Step 2 took 94ms
********** Factor found in step 2: 2901316649414092547360420795345903099
Found probable prime factor of 37 digits: 2901316649414092547360420795345903099
Composite cofactor 7989105404389249941498040131572094612122312862960957660842502235771454738710258641318402578513780573646497216012869530801413239944090959554489828179142082872381007 has 163 digits

GMP-ECM 6.3

39342809843993733106713669290793023451550889852396760877655739525555448832017189156795491988593001040177933268799736353066487593669189896520175609814434335750434302484344924690459169357755639687<194>

163050099703971363925659068844352527057674926068333979911142178263862668337032406772310213320694722406348946107688506722814043424113556229465175684087642963176766536210350427362137997174865830787132808856320191<210>

17808650736605065964619102815101502930158155696397689134367680071318024797975093729875050652999992553455512697782709202038339392063049935833416753461182498176321707629742703012904932670185196802248479092842827231512141391<221>

5261125203597977600056896601049<31>
3384950946315835305056669751682676423534517875619904626898686138765618024856322500537745320261723364764371642497877211457649550034580612647123848251127399604775179973720211108396608912595559<190>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1302893483
Step 1 took 11700ms
Step 2 took 6505ms
********** Factor found in step 2: 5261125203597977600056896601049
Found probable prime factor of 31 digits: 5261125203597977600056896601049
Probable prime cofactor 3384950946315835305056669751682676423534517875619904626898686138765618024856322500537745320261723364764371642497877211457649550034580612647123848251127399604775179973720211108396608912595559 has 190 digits

GMP-ECM 6.3

241289406524366678001478942429724387619689605950741443030360056158669422572534553634666350800540905187073913563924333411703132623357617647157622295331187274806739318191826393078861110624759653456590395255953357517<213>

66325240171255516450189630066949801<35>

3637972601400971957537064733151085298858532737577526281902374775913344928724025626513444389123872001930517051670423705790096000718940132974798099986591170882750224143621738390917<178>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1343321762
Step 1 took 9859ms
Step 2 took 5538ms
********** Factor found in step 2: 66325240171255516450189630066949801
Found probable prime factor of 35 digits: 66325240171255516450189630066949801
Composite cofactor 3637972601400971957537064733151085298858532737577526281902374775913344928724025626513444389123872001930517051670423705790096000718940132974798099986591170882750224143621738390917 has 178 digits

GMP-ECM 6.3

3637972601400971957537064733151085298858532737577526281902374775913344928724025626513444389123872001930517051670423705790096000718940132974798099986591170882750224143621738390917<178>

906151747616078260095673745939259479<36>

4014749859470912490990181015481605779934903252742093267064819440043271467425281407291683376167373122336975870440983452089046133773631977525123<142>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2288938149
Step 1 took 44055ms
Step 2 took 14069ms
********** Factor found in step 2: 906151747616078260095673745939259479
Found probable prime factor of 36 digits: 906151747616078260095673745939259479

4014749859470912490990181015481605779934903252742093267064819440043271467425281407291683376167373122336975870440983452089046133773631977525123<142>

15061129079168591027831304825326547510646879899688286614420263138653<68>
266563671180788785781000334610262526404644623421935334167536123573537040991<75>

Number: 85553_235
N = 4014749859470912490990181015481605779934903252742093267064819440043271467425281407291683376167373122336975870440983452089046133773631977525123 (142 digits)
Divisors found:
r1=15061129079168591027831304825326547510646879899688286614420263138653 (pp68)
r2=266563671180788785781000334610262526404644623421935334167536123573537040991 (pp75)
Version: Msieve v. 1.51 (SVN 845)
Total time: 422.07 hours.
Factorization parameters were as follows:
# Murphy_E = 1.67289776e-11, selected by Maksym Voznyy
# selected by CADO-NFS
n: 4014749859470912490990181015481605779934903252742093267064819440043271467425281407291683376167373122336975870440983452089046133773631977525123
Y0: -1982529140654384189597522531
Y1: 152824533931799191
c0: -76693533455314378134464621701740
c1: 2005953854307453917396993143
c2: 25828531082482744434462
c3: -2599233981893357
c4: -659397056696
c5: 524400
skew: 246667.87585
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: 23238019
Relations: 3906936 relations
Pruned matrix : 2442026 x 2442250
Polynomial selection time: 0.00 hours.
Total sieving time: 414.74 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 5.92 hours.
time per square root: 1.22 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: 422.07 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 8, speed: 2.29GHz

GGNFS, Msieve

1143031174498160813133220929289441598478146253069409798989555106608507469255216593578237696746481140263741047486976703341127253053915150434711486223796247522154072612000038149986614779108519001363536628707638847930611990554346109<229>