27992855950552512708828138574591719985934225428898365721529634560471152640342015896190558043914185790452999492624622285097241644053311671<137>

33189147649745737114986138374689356517744711840673371<53>
843434011803161407008535388292933087394417867330522649337638124595057972951922937301<84>

Number: n
N=27992855950552512708828138574591719985934225428898365721529634560471152640342015896190558043914185790452999492624622285097241644053311671
  ( 137 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=33189147649745737114986138374689356517744711840673371 (pp53)
 r2=843434011803161407008535388292933087394417867330522649337638124595057972951922937301 (pp84)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 50.61 hours.
Scaled time: 60.58 units (timescale=1.197).
Factorization parameters were as follows:
name: KA_87_153
n: 27992855950552512708828138574591719985934225428898365721529634560471152640342015896190558043914185790452999492624622285097241644053311671
type: snfs
skew: 1
deg: 5
c5: 79
c0: -700
m: 10000000000000000000000000000000
rlim: 3600000
alim: 3600000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [1800000, 3500001)
Primes: RFBsize:256726, AFBsize:256641, largePrimes:7837103 encountered
Relations: rels:7422443, finalFF:649186
Max relations in full relation-set: 28
Initial matrix: 513434 x 649186 with sparse part having weight 47166009.
Pruned matrix : 421054 x 423685 with weight 31807317.
Total sieving time: 43.89 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 6.34 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,3600000,3600000,28,28,48,48,2.3,2.3,100000
total time: 50.61 hours.
 --------- CPU info (if available) ----------

Athlon XP 2700+ using Cygwin

387815792064344895618351800343352262605326578940255711093416077885722827353065727386705918821842903745588255225110877887373958010723171586541811<144>

7759395761065552324116951099007858595802868200287671942463351<61>
49980153610709556948637712835820984645682617068092949162535061366397670901309487461<83>

N=387815792064344895618351800343352262605326578940255711093416077885722827353065727386705918821842903745588255225110877887373958010723171586541811
  ( 144 digits)
SNFS difficulty: 171 digits.
Divisors found:
r1=7759395761065552324116951099007858595802868200287671942463351 (pp61)
r2=49980153610709556948637712835820984645682617068092949162535061366397670901309487461 (pp83)
Version: GGNFS-0.77.1-20060722-nocona
Total time: 67.86 hours.
Scaled time: 137.82 units (timescale=2.031).
Factorization parameters were as follows:
n: 387815792064344895618351800343352262605326578940255711093416077885722827353065727386705918821842903745588255225110877887373958010723171586541811
m: 5000000000000000000000000000000000
deg: 5
c5: 632
c0: -175
skew: 0.77
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4

Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2500000, 7400001)
Primes: RFBsize:348513, AFBsize:348556, largePrimes:10510580 encountered
Relations: rels:11477264, finalFF:824020
Max relations in full relation-set: 32
Initial matrix: 697136 x 824020 with sparse part having weight 113502940.
Pruned matrix : 630588 x 634137 with weight 91303413.
Total sieving time: 61.15 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 6.27 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.4,2.4,100000
total time: 67.86 hours.
 --------- CPU info (if available) ----------

Q6700, Linux 2.6.22

30766999189174499224689468894868725545675655898997098145447140665073696881219316660229533882153414599964581869484884935996126880831097168266744485149863<152>

3116549881367973389270395010859470666928419469489925409699923580919060881933<76>
9872134366631629882925427065540193668246546885604057444260571641728324014211<76>

Number: n
N=30766999189174499224689468894868725545675655898997098145447140665073696881219316660229533882153414599964581869484884935996126880831097168266744485149863
  ( 152 digits)
SNFS difficulty: 171 digits.
Divisors found:

Wed Oct 01 10:57:02 2008  prp76 factor: 3116549881367973389270395010859470666928419469489925409699923580919060881933
Wed Oct 01 10:57:02 2008  prp76 factor: 9872134366631629882925427065540193668246546885604057444260571641728324014211
Wed Oct 01 10:57:02 2008  elapsed time 02:23:05 (Msieve 1.38)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 14.24 hours.
Scaled time: 27.78 units (timescale=1.951).
Factorization parameters were as follows:
name: KA_8_7_169
n: 30766999189174499224689468894868725545675655898997098145447140665073696881219316660229533882153414599964581869484884935996126880831097168266744485149863
type: snfs
skew: 0.98
deg: 5
c5: 79
c0: -70
m: 10000000000000000000000000000000000
rlim: 6200000
alim: 6200000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 3000001)
Primes: RFBsize:425648, AFBsize:426147, largePrimes:13749595 encountered
Relations: rels:13289628, finalFF:1055105
Max relations in full relation-set: 28
Initial matrix: 851860 x 1055105 with sparse part having weight 108793998.
Pruned matrix : 
Total sieving time: 13.93 hours.
Total relation processing time: 0.31 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,52,52,2.5,2.5,100000
total time: 14.24 hours.
 --------- CPU info (if available) ----------

956074021105397536437342755056849754612201290610974264349641650804121960025424871623231611685371025112062981295261387784719433<126>

15483071709542096611001643849713935813843215215290261622477<59>
61749634635882785264612312275923906912881470874063040973717176318829<68>

Number: 87777_170
N=956074021105397536437342755056849754612201290610974264349641650804121960025424871623231611685371025112062981295261387784719433
  ( 126 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=15483071709542096611001643849713935813843215215290261622477
 r2=61749634635882785264612312275923906912881470874063040973717176318829
Version: 
Total time: 38.52 hours.
Scaled time: 91.67 units (timescale=2.380).
Factorization parameters were as follows:
n: 956074021105397536437342755056849754612201290610974264349641650804121960025424871623231611685371025112062981295261387784719433
m: 10000000000000000000000000000000000
deg: 5
c5: 79
c0: -7
skew: 0.62
type: snfs
lss: 1
rlim: 6000000
alim: 6000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [3000000, 5900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 11273123
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 973375 x 973623
Total sieving time: 34.70 hours.
Total relation processing time: 1.63 hours.
Matrix solve time: 2.06 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,52,52,2.4,2.4,100000
total time: 38.52 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.60 BogoMIPS (lpj=2673802)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672347)
Calibrating delay using timer specific routine.. 5344.72 BogoMIPS (lpj=2672363)
Calibrating delay using timer specific routine.. 5535.15 BogoMIPS (lpj=2767578)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

1621183944474974841004973167630623544618770286330625649993113352858042939934854174924508403146115135259070343188195700030821<124>

205933584244552585437467949053421910141<39>
7872363074833719679020067199964325911944706977770586747781253428175946317375962633481<85>

GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 1621183944474974841004973167630623544618770286330625649993113352858042939934854174924508403146115135259070343188195700030821 (124 digits)
Using B1=5472000, B2=11416630690, polynomial Dickson(12), sigma=1768681715
Step 1 took 48726ms
Step 2 took 20109ms
********** Factor found in step 2: 205933584244552585437467949053421910141
Found probable prime factor of 39 digits: 205933584244552585437467949053421910141
Probable prime cofactor 7872363074833719679020067199964325911944706977770586747781253428175946317375962633481 has 85 digits

184947219365308535648381778638393326731826820927041408856975967228655497668117285909146833325891609690875304052669987101515426082623200079306922369<147>

5580971037788921450041703264974927<34>
33138896101238546829500652237963628584157368130034601459624283914666332534531536188241041205723023565741101190447<113>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2389302257
Step 1 took 4992ms
Step 2 took 3838ms
********** Factor found in step 2: 5580971037788921450041703264974927
Found probable prime factor of 34 digits: 5580971037788921450041703264974927
Probable prime cofactor 33138896101238546829500652237963628584157368130034601459624283914666332534531536188241041205723023565741101190447 has 113 digits

GMP-ECM 6.3

29259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259<179>

19971896401363047141199475475638205189325457<44>
1465021581889557857924256214667419479705503658147178481828370509373285421613856871941147734400057046089676390097180025635682843605088587<136>

Number: 87777_178
N=29259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259
  ( 179 digits)
SNFS difficulty: 179 digits.
Divisors found:
 r1=19971896401363047141199475475638205189325457 (pp44)
 r2=1465021581889557857924256214667419479705503658147178481828370509373285421613856871941147734400057046089676390097180025635682843605088587 (pp136)
Version: GGNFS-0.77.1-20060722-nocona
Total time: 563.40 hours.
Scaled time: 1127.37 units (timescale=2.001).
Factorization parameters were as follows:
n: 29259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259
m: 100000000000000000000000000000000000
c5: 79000
c0: -7
skew: 0.15
type: snfsFactor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [3700000, 25400001)
Primes: RFBsize:501962, AFBsize:502131, largePrimes:7373002 encountered
Relations: rels:8019550, finalFF:1174666
Max relations in full relation-set: 32
Initial matrix: 1004160 x 1174666 with sparse part having weight 144974941.
Pruned matrix : 879802 x 884886 with weight 124736252.
Total sieving time: 550.51 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 11.93 hours.
Time per square root: 0.78 hours.
Prototype def-par.txt line would be:
snfs,179,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000
total time: 563.40 hours.
 --------- CPU info (if available) ----------

12686299920188720755268427653564448812385682787902729802687889722330617822806113190700781572426728588657163182751770862941390900229477501087970657712387128062577181682267603847<176>

1323486772291042062347767853173796187473215598039738449<55>
9585513195744228583885902560617274532350803556151073635205582699852643964350412161988989141326678149345407852327055036503<121>

SNFS difficulty: 181 digits.
Divisors found:
 r1=1323486772291042062347767853173796187473215598039738449
 r2=9585513195744228583885902560617274532350803556151073635205582699852643964350412161988989141326678149345407852327055036503
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.946).
Factorization parameters were as follows:
n: 12686299920188720755268427653564448812385682787902729802687889722330617822806113190700781572426728588657163182751770862941390900229477501087970657712387128062577181682267603847
m: 1000000000000000000000000000000000000
deg: 5
c5: 79
c0: -70
skew: 0.98
type: snfs
lss: 1
rlim: 8600000
alim: 8600000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 8600000/8600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved rational special-q in [4300000, 7100001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1428957 x 1429196
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,8600000,8600000,27,27,54,54,2.6,2.6,200000
total time: 110.00 hours.

Msieve-1.38

Opteron-2.6GHz; Linux x86_64

217014980556087308878927231813617367028075041392377799114208275145971398575415608280897569212675022064944352895246557<117>

162056010817029360137027687776827583842235554323<48>
1339135644904339985823718669445723597191456382468572443486293907060559<70>

Number: Job
N=217014980556087308878927231813617367028075041392377799114208275145971398575415608280897569212675022064944352895246557
  ( 117 digits)
Divisors found:
 r1=162056010817029360137027687776827583842235554323 (pp48)
 r2=1339135644904339985823718669445723597191456382468572443486293907060559 (pp70)
Version: GGNFS-0.77.1
Total time: 42.65 hours.
Scaled time: 79.12 units (timescale=1.855).
Factorization parameters were as follows:
name: (79*10^182-7)/9
n: 217014980556087308878927231813617367028075041392377799114208275145971398575415608280897569212675022064944352895246557
skew: 61590.828125
# norm 2.24E+016
c5: 20880
c4: -12338727134
c3: -419279908850309
c2: 33963095371967508346
c1: 681561752337410900249080
c0: -23423277003549404626500902592
#alpha -6.490000
Y1: 2658245483993
Y0: -25313793572045121558227
# Murphy_E 4.27E-010
# M 102689576836686222011314360928127318722076257797759486725450542555420135684534362258338233999715520749962921487761097
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
qintsize: 50000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [1750000, 3600001)
Relations: rels:6609022, finalFF:597261
Initial matrix: 500200 x 597261 with sparse part having weight 53144885.
Pruned matrix : 466084 x 468649 with weight 32422170.
Total sieving time: 38.83 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 3.36 hours.
Time per square root: 0.24 hours.
Prototype def-par.txt line would be:
gnfs,116,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,49,49,2.4,2.4,100000
total time: 42.65 hours.
 --------- CPU info (if available) ----------

WinXP Pro, Cygwin, AMD 3800+, 4gb DDR, 6-drive SCSI RAID

4588488122204797583783469826334436893767787651739559737468780856130568624034384619852471394551896381483417552419120636580124295754196433757332868676308299936109659057907881744787129<181>

12153807173571949007375230348211<32>
2375716400628936749079408376044022391<37>
158914188404109477281052206971033581029810208002769801689981446299251940791541808338262878938295863778304036304629<114>

GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 4588488122204797583783469826334436893767787651739559737468780856130568624034384619852471394551896381483417552419120636580124295754196433757332868676308299936109659057907881744787129 (181 digits)
Using B1=1032000, B2=878087263, polynomial Dickson(3), sigma=1431697642
Step 1 took 15308ms
Step 2 took 6554ms
********** Factor found in step 2: 12153807173571949007375230348211
Found probable prime factor of 32 digits: 12153807173571949007375230348211
Composite cofactor 377535043684279685609496367870037285609356622404766120465645861923070421262597195541984291283607880498394052257064656010171009857247867775584572947939 has 150 digits


GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 377535043684279685609496367870037285609356622404766120465645861923070421262597195541984291283607880498394052257064656010171009857247867775584572947939 (150 digits)
Using B1=3602000, B2=5212258272, polynomial Dickson(6), sigma=996230455
Step 1 took 40531ms
Step 2 took 18377ms
********** Factor found in step 2: 2375716400628936749079408376044022391
Found probable prime factor of 37 digits: 2375716400628936749079408376044022391
Probable prime cofactor 158914188404109477281052206971033581029810208002769801689981446299251940791541808338262878938295863778304036304629 has 114 digits

1786928764427647549838243463902465427678320757958191903656502084910819342140107771163844231424010087290446102816524625078313409671835036555587470412006191<154>

9319239944287090263919307032645481967446035363<46>

191746191224862305701566324038390381482048530431496970870211087710683995040573579751846749524507323021943557<108>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:2876830642
Step 1 took 100066ms
Step 2 took 40197ms
********** Factor found in step 2: 9319239944287090263919307032645481967446035363
Found probable prime factor of 46 digits: 9319239944287090263919307032645481967446035363
Composite cofactor 191746191224862305701566324038390381482048530431496970870211087710683995040573579751846749524507323021943557 has 108 digits

GMP-ECM 7.0 dev (SVN 2525)

AMD Athlon II X4 640,
Arch Linux

191746191224862305701566324038390381482048530431496970870211087710683995040573579751846749524507323021943557<108>

100792138060039137067469830919392357027790451761227771<54>
1902392338484220975005091361013775723499189545782259967<55>

N=191746191224862305701566324038390381482048530431496970870211087710683995040573579751846749524507323021943557
  ( 108 digits)
Divisors found:
 r1=100792138060039137067469830919392357027790451761227771 (pp54)
 r2=1902392338484220975005091361013775723499189545782259967 (pp55)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 14.21 hours.
Scaled time: 13.83 units (timescale=0.973).
Factorization parameters were as follows:
n: 191746191224862305701566324038390381482048530431496970870211087710683995040573579751846749524507323021943557
skew: 3350795.45
c0: -5747274936467275714072156028
c1: 117547784047761642526204
c2: -149067823291156117
c3: -27089570374
c4: 3120
Y0: -88540750595624066002192005
Y1: 15153658522757
rlim: 2920000
alim: 2920000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 2920000/2920000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1460000, 2510001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 369493 x 369719
Total sieving time: 13.82 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.21 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
gnfs,107,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2920000,2920000,26,26,52,52,2.5,2.5,150000
total time: 14.21 hours.
 --------- CPU info (if available) ----------

226651608834968862934151820817258880932640316198117124144715755547993742337084879171056694419813030309560929213633182121942718495060203261477729011834743007357067954445851231<174>

2518756381446240396027945593009212303279573<43>
89985522420722628740944111805884149855189690398919699030617221457042620106809914428977427462038606842181500366709608263910987298147<131>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1688711494
Step 1 took 67314ms
********** Factor found in step 1: 2518756381446240396027945593009212303279573
Found probable prime factor of 43 digits: 2518756381446240396027945593009212303279573
Probable prime cofactor 89985522420722628740944111805884149855189690398919699030617221457042620106809914428977427462038606842181500366709608263910987298147 has 131 digits

GMP-ECM 6.2.3

80269237827338363325305829935134910827810864758944708578336947403048309062958050883000929400148866040284793902716220625699234605765401042503639586379<149>

15052493370622208754491280073979462883577377032822897106145877<62>
5332620706148190785588032696277414209863816261661507047785587874467520065701755875780127<88>

N=80269237827338363325305829935134910827810864758944708578336947403048309062958050883000929400148866040284793902716220625699234605765401042503639586379
  ( 149 digits)
SNFS difficulty: 187 digits.
Divisors found:
 r1=15052493370622208754491280073979462883577377032822897106145877 (pp62)
 r2=5332620706148190785588032696277414209863816261661507047785587874467520065701755875780127 (pp88)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 255.50 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 80269237827338363325305829935134910827810864758944708578336947403048309062958050883000929400148866040284793902716220625699234605765401042503639586379
m: 10000000000000000000000000000000000000
deg: 5
c5: 790
c0: -7
skew: 0.39
# Murphy_E = 4.155e-11
type: snfs
lss: 1
rlim: 9500000
alim: 9500000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 9500000/9500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4750000, 16750001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1977529 x 1977755
Total sieving time: 251.23 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 3.78 hours.
Time per square root: 0.24 hours.
Prototype def-par.txt line would be:
snfs,187.000,5,0,0,0,0,0,0,0,0,9500000,9500000,28,28,54,54,2.5,2.5,100000
total time: 255.50 hours.
 --------- CPU info (if available) ----------
[    0.074309] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49296732k/51380224k available (5105k kernel code, 1057796k absent, 1025696k reserved, 7223k data, 1316k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.00 BogoMIPS (lpj=2400000)
[    0.707507] Total of 16 processors activated (76799.07 BogoMIPS).

176225211358718686564500658056168997746994133261950969238662472952776104753619308929487608467732940730330812643601240268576144906199112181846572531174016819469539806821477168796984095117<186>

21765125120660595551469602307679<32>

8096678074753473185944039706917079992623437626274897607442886516416138091715794569583278042469134900566577085836441842147205791368296429713363394770501523<154>

Input number is 176225211358718686564500658056168997746994133261950969238662472952776104753619308929487608467732940730330812643601240268576144906199112181846572531174016819469539806821477168796984095117 (186 digits)

Using B1=8427833, B2=23420852920, polynomial Dickson(12), sigma=318351411

Step 1 took 252879ms

Step 2 took 81799ms

********** Factor found in step 2: 21765125120660595551469602307679

Found probable prime factor of 32 digits: 21765125120660595551469602307679

Composite cofactor 8096678074753473185944039706917079992623437626274897607442886516416138091715794569583278042469134900566577085836441842147205791368296429713363394770501523 has 154 digits

8096678074753473185944039706917079992623437626274897607442886516416138091715794569583278042469134900566577085836441842147205791368296429713363394770501523<154>

13695569725500438183178405641062587<35>
591189577143174987416925390437772249910271615626000562661072745946394485290276338011920617969686668246185578223022539529<120>

N=8096678074753473185944039706917079992623437626274897607442886516416138091715794569583278042469134900566577085836441842147205791368296429713363394770501523
  ( 154 digits)
SNFS difficulty: 189 digits.
Divisors found:
 r1=13695569725500438183178405641062587 (pp35)
 r2=591189577143174987416925390437772249910271615626000562661072745946394485290276338011920617969686668246185578223022539529 (pp120)
Version: Msieve v. 1.46
Total time:
Scaled time: 30.54 units (timescale=0.672).
Factorization parameters were as follows:
n: 8096678074753473185944039706917079992623437626274897607442886516416138091715794569583278042469134900566577085836441842147205791368296429713363394770501523
m: 10000000000000000000000000000000000000
deg: 5
c5: 79000
c0: -7
skew: 0.15
type: snfs
lss: 1
rlim: 10200000
alim: 10200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 10200000/10200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5100000, 19500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2352310 x 2352536
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,189.000,5,0,0,0,0,0,0,0,0,10200000,10200000,28,28,54,54,2.5,2.5,100000
total time:

8609672964694994945110838922640407526541235415043359344973088432492646383042515289436071454001397605394626429286740736109681540463140424980034828062027648755290873428667201<172>

4154528212051791030888040455432489243505303<43>
13082419268884060242162940880423117903716241<44>
158407915601539774082021032553294033505740325452201868672705077035058323494784131178487<87>

N=8609672964694994945110838922640407526541235415043359344973088432492646383042515289436071454001397605394626429286740736109681540463140424980034828062027648755290873428667201
  ( 172 digits)
SNFS difficulty: 191 digits.
Divisors found:
 r1=4154528212051791030888040455432489243505303 (pp43)
 r2=13082419268884060242162940880423117903716241 (pp44)
 r3=158407915601539774082021032553294033505740325452201868672705077035058323494784131178487 (pp87)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 305.18 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 8609672964694994945110838922640407526541235415043359344973088432492646383042515289436071454001397605394626429286740736109681540463140424980034828062027648755290873428667201
m: 50000000000000000000000000000000000000
deg: 5
c5: 1264
c0: -35
skew: 0.49
# Murphy_E = 3.282e-11
type: snfs
lss: 1
rlim: 10900000
alim: 10900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 800000
Factor base limits: 10900000/10900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5450000, 19050001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 2179821 x 2180049
Total sieving time: 299.48 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 4.59 hours.
Time per square root: 0.85 hours.
Prototype def-par.txt line would be:
snfs,191.000,5,0,0,0,0,0,0,0,0,10900000,10900000,28,28,54,54,2.5,2.5,100000
total time: 305.18 hours.
 --------- CPU info (if available) ----------
[    0.074309] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49296732k/51380224k available (5105k kernel code, 1057796k absent, 1025696k reserved, 7223k data, 1316k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.00 BogoMIPS (lpj=2400000)
[    0.707507] Total of 16 processors activated (76799.07 BogoMIPS).

1284132871731616418169886507588452527620588588532132500067484030206956484000441523447486639810777704157267142010660417736461006259974296153871<142>

105553019944710181572216814174379104684420141421<48>
12165761551912575930189762617420484282285853234164070444701020701258267693301990027642795913451<95>

N=1284132871731616418169886507588452527620588588532132500067484030206956484000441523447486639810777704157267142010660417736461006259974296153871
  ( 142 digits)
SNFS difficulty: 191 digits.
Divisors found:
 r1=105553019944710181572216814174379104684420141421 (pp48)
 r2=12165761551912575930189762617420484282285853234164070444701020701258267693301990027642795913451 (pp95)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 289.17 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1284132871731616418169886507588452527620588588532132500067484030206956484000441523447486639810777704157267142010660417736461006259974296153871
m: 100000000000000000000000000000000000000
deg: 5
c5: 79
c0: -7
skew: 0.62
# Murphy_E = 3.667e-11
type: snfs
lss: 1
rlim: 11100000
alim: 11100000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 800000
Factor base limits: 11100000/11100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5550000, 18350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2182018 x 2182244
Total sieving time: 283.80 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 4.63 hours.
Time per square root: 0.48 hours.
Prototype def-par.txt line would be:
snfs,191.000,5,0,0,0,0,0,0,0,0,11100000,11100000,28,28,54,54,2.5,2.5,100000
total time: 289.17 hours.
 --------- CPU info (if available) ----------
[    0.074309] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49296732k/51380224k available (5105k kernel code, 1057796k absent, 1025696k reserved, 7223k data, 1316k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.00 BogoMIPS (lpj=2400000)
[    0.707507] Total of 16 processors activated (76799.07 BogoMIPS).

30442937374601851450299254911406816682456547352720523488322190097872644648437969634195421231345926947798253599428436433568526750668347382827701765375198951990072445037<167>

3108750374972955705454260524278054642646102773656145444112493235271051841598321<79>
9792660620062389875383508704604531215617118105077948101888465004770440178418005216439997<88>

N=30442937374601851450299254911406816682456547352720523488322190097872644648437969634195421231345926947798253599428436433568526750668347382827701765375198951990072445037
  ( 167 digits)
SNFS difficulty: 193 digits.
Divisors found:
 r1=3108750374972955705454260524278054642646102773656145444112493235271051841598321 (pp79)
 r2=9792660620062389875383508704604531215617118105077948101888465004770440178418005216439997 (pp88)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 424.44 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 30442937374601851450299254911406816682456547352720523488322190097872644648437969634195421231345926947798253599428436433568526750668347382827701765375198951990072445037
m: 100000000000000000000000000000000000000
deg: 5
c5: 7900
c0: -7
skew: 0.25
# Murphy_E = 2.36e-11
type: snfs
lss: 1
rlim: 11900000
alim: 11900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 800000
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, 24350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2686059 x 2686284
Total sieving time: 415.83 hours.
Total relation processing time: 0.31 hours.
Matrix solve time: 7.52 hours.
Time per square root: 0.77 hours.
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: 424.44 hours.
 --------- CPU info (if available) ----------

90797956593830860388705270672509588516735015763535558569319199045977499679051473488930164197638005863880618076764754966263054630578396076758277<143>

302642228032336663907008744419024129146928742907659<51>
300017473384875081562076737104762732087614604819540037677772082911916522043371243658206086703<93>

N=90797956593830860388705270672509588516735015763535558569319199045977499679051473488930164197638005863880618076764754966263054630578396076758277
  ( 143 digits)
SNFS difficulty: 194 digits.
Divisors found:
 r1=302642228032336663907008744419024129146928742907659 (pp51)
 r2=300017473384875081562076737104762732087614604819540037677772082911916522043371243658206086703 (pp93)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 518.88 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 90797956593830860388705270672509588516735015763535558569319199045977499679051473488930164197638005863880618076764754966263054630578396076758277
m: 100000000000000000000000000000000000000
deg: 5
c5: 79000
c0: -7
skew: 0.15
# Murphy_E = 1.947e-11
type: snfs
lss: 1
rlim: 12400000
alim: 12400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 12400000/12400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6200000, 28400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2937303 x 2937528
Total sieving time: 508.11 hours.
Total relation processing time: 0.31 hours.
Matrix solve time: 9.04 hours.
Time per square root: 1.42 hours.
Prototype def-par.txt line would be:
snfs,194.000,5,0,0,0,0,0,0,0,0,12400000,12400000,28,28,55,55,2.5,2.5,100000
total time: 518.88 hours.
 --------- CPU info (if available) ----------

20955852120652655424780427764647212208508075960984978102460853672446768156654278840159901109599106591013387871601637209104919850497237275951435475870264706896597459301878334036282803203327471<191>

21660703151470170095387620444964633130905995220151797828221584722265202126684540143951468973<92>
967459457530598468213577465688760402873142561837962197293326094830798764618974074489456615440812427<99>

Number: n
N=20955852120652655424780427764647212208508075960984978102460853672446768156654278840159901109599106591013387871601637209104919850497237275951435475870264706896597459301878334036282803203327471
  ( 191 digits)
SNFS difficulty: 195 digits.
Divisors found:

Sun Feb 14 23:48:57 2010  prp92 factor: 21660703151470170095387620444964633130905995220151797828221584722265202126684540143951468973
Sun Feb 14 23:48:57 2010  prp99 factor: 967459457530598468213577465688760402873142561837962197293326094830798764618974074489456615440812427
Sun Feb 14 23:48:57 2010  elapsed time 10:31:51 (Msieve 1.42 - dependency 2)

Version: 
Total time: 21.84 hours.
Scaled time: 18.39 units (timescale=0.842).
Factorization parameters were as follows:
name: KA_8_7_194
n: 20955852120652655424780427764647212208508075960984978102460853672446768156654278840159901109599106591013387871601637209104919850497237275951435475870264706896597459301878334036282803203327471
m: 100000000000000000000000000000000000000
deg: 5
c5: 790000
c0: -7
skew: 0.10
type: snfs
lss: 1
rlim: 12900000
alim: 12900000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 12900000/12900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 12955361)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3803492 hash collisions in 28071901 relations
Msieve: matrix is 1949338 x 1949564 (523.6 MB)

Total sieving time: 21.84 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,195,5,0,0,0,0,0,0,0,0,12900000,12900000,28,28,56,56,2.5,2.5,100000
total time: 21.84 hours.
 --------- CPU info (if available) ----------
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Total of 2 processors activated (12009.47 BogoMIPS).

31053077098131866714417649489553242148850075120319152599085410577943565157361298875100373468515827655550276757659630050304794116132717106626859886415844982371<158>

383351857228779253696971719541506528675932701282098948596064912871224857<72>
81004112834126185630661943086129157587151426548894142914972478908978923541924240445403<86>

31053077098131866714417649489553242148850075120319152599085410577943565157361298875100373468515827655550276757659630050304794116132717106626859886415844982371=383351857228779253696971719541506528675932701282098948596064912871224857*81004112834126185630661943086129157587151426548894142914972478908978923541924240445403

cado polynomial
n: 31053077098131866714417649489553242148850075120319152599085410577943565157361298875100373468515827655550276757659630050304794116132717106626859886415844982371
skew: 0.62
type: snfs
c0: -7
c5: 79
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 79*x^5-7
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 13400000
tasks.lim1 = 13400000
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: 383351857228779253696971719541506528675932701282098948596064912871224857 81004112834126185630661943086129157587151426548894142914972478908978923541924240445403
Info:Square Root: Total cpu/real time for sqrt: 741.61/235.863
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 29504133
Info:Lattice Sieving: Average J: 1893.51 for 3605174 special-q, max bucket fill -bkmult 1.0,1s:1.129630
Info:Lattice Sieving: Total time: 780023s
Info:Square Root: Total cpu/real time for sqrt: 741.61/235.863
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 124.5/149.274
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 148.2s
Info:Filtering - Merging: Merged matrix has 2716170 rows and total weight 463089178 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 757.78/208.473
Info:Filtering - Merging: Total cpu/real time for replay: 105.86/92.5797
Info:Linear Algebra: Total cpu/real time for bwc: 130272/33336.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 83518.38, WCT time 21307.5, iteration CPU time 0.24, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (84992 iterations)
Info:Linear Algebra: Lingen CPU time 579.48, WCT time 147.06
Info:Linear Algebra: Mksol: CPU time 45180.86,  WCT time 11537.81, iteration CPU time 0.26, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (42496 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 93.71/40.8045
Info:Generate Factor Base: Total cpu/real time for makefb: 5.67/2.70608
Info:Filtering - Singleton removal: Total cpu/real time for purge: 417.57/490.834
Info:Generate Free Relations: Total cpu/real time for freerel: 120.03/32.2257
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 528.54/536.852
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 436.2s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.64274e+06/95910.9
Info:root: Cleaning up computation data in /tmp/cado.ph853qgq
383351857228779253696971719541506528675932701282098948596064912871224857 81004112834126185630661943086129157587151426548894142914972478908978923541924240445403

cado-nfs-3.0.0

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

251400350075079437268822700859414979079521765999642570817705964277890819431167074626658279760132912426773247616716424313280022251401463371065378047506832691756001923318212529262873<180>

1357045568085199043783523298232068398823524739<46>
185255643574155819048224777573790360514640232021784597159994317488726462727086832868146135743430077979070415299064152832990016287712307<135>

Number: n
N=251400350075079437268822700859414979079521765999642570817705964277890819431167074626658279760132912426773247616716424313280022251401463371065378047506832691756001923318212529262873  ( 180 digits)
SNFS difficulty: 198 digits.
Divisors found:

Sat Mar 20 15:19:05 2021  p46 factor: 1357045568085199043783523298232068398823524739
Sat Mar 20 15:19:05 2021  p135 factor: 185255643574155819048224777573790360514640232021784597159994317488726462727086832868146135743430077979070415299064152832990016287712307
Sat Mar 20 15:19:05 2021  elapsed time 01:28:13 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.346).
Factorization parameters were as follows:
#
# N = 79x10^197-7 = 87(197)
#
n: 251400350075079437268822700859414979079521765999642570817705964277890819431167074626658279760132912426773247616716424313280022251401463371065378047506832691756001923318212529262873
m: 1000000000000000000000000000000000000000
deg: 5
c5: 7900
c0: -7
skew: 0.25
# Murphy_E = 1.464e-11
type: snfs
lss: 1
rlim: 14500000
alim: 14500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14500000/14500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4525018 hash collisions in 30573726 relations (27540937 unique)
Msieve: matrix is 1904229 x 1904454 (665.9 MB)

Sieving start time : 2021/03/20 05:15:19
Sieving end time  : 2021/03/20 13:50:19

Total sieving time: 8hrs 35min 0secs.

Total relation processing time: 1hrs 13min 16sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 58sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14500000,14500000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116948] 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)
[    0.153521] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.16 BogoMIPS (lpj=12798332)
[    0.152037] smpboot: Total of 16 processors activated (102386.65 BogoMIPS)

144534076007327483294015834553477161019199808201781278959371252262113722534800307802918300030512630351102520759280855616387259510287054700793882474466213738567899443809<168>

7643774497052675935716561700102153509607658913086774850528679716601559538364477<79>
18908731028506615583622503675668446762448598419224757942301956362969845586823037560400117<89>

144534076007327483294015834553477161019199808201781278959371252262113722534800307802918300030512630351102520759280855616387259510287054700793882474466213738567899443809=7643774497052675935716561700102153509607658913086774850528679716601559538364477*18908731028506615583622503675668446762448598419224757942301956362969845586823037560400117

cado polynomial
n: 144534076007327483294015834553477161019199808201781278959371252262113722534800307802918300030512630351102520759280855616387259510287054700793882474466213738567899443809
skew: 0.67
type: snfs
c0: -7
c6: 79
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 79*x^6-7
# 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: 7643774497052675935716561700102153509607658913086774850528679716601559538364477 18908731028506615583622503675668446762448598419224757942301956362969845586823037560400117
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 9.99/3.46366
Info:Generate Free Relations: Total cpu/real time for freerel: 161.65/40.9499
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 29691303
Info:Lattice Sieving: Average J: 1894.56 for 4318356 special-q, max bucket fill -bkmult 1.0,1s:1.165680
Info:Lattice Sieving: Total time: 1.22016e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 57.77/157.783
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 156.9s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 500.24/485.891
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 425.79999999999995s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 423.21/462.557
Info:Filtering - Merging: Merged matrix has 2813799 rows and total weight 484256712 (172.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 404.88/145.775
Info:Filtering - Merging: Total cpu/real time for replay: 110.33/97.0777
Info:Linear Algebra: Total cpu/real time for bwc: 143214/36634.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 23380.54, iteration CPU time 0.25, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (88064 iterations)
Info:Linear Algebra: Lingen CPU time 578.9, WCT time 167.15
Info:Linear Algebra: Mksol: WCT time 12760.08, iteration CPU time 0.28, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (44032 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 97.45/41.6002
Info:Square Root: Total cpu/real time for sqrt: 811.72/245.198
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.42866e+06/86836.9
Info:root: Cleaning up computation data in /tmp/cado.wrt8us6z
7643774497052675935716561700102153509607658913086774850528679716601559538364477 18908731028506615583622503675668446762448598419224757942301956362969845586823037560400117

cado-nfs-3.0.0

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

941139259797974567407311500976526020956324145400848345306122248371802129001325680562131021976208085326156411787601524142989725511359895132399573521230427231535134422577405147<174>

5128323584114008550699112542151120047720913769766554940538011458619<67>
183517916598191779723046244958856136201637898911468033909861090503572708357085225330035555844867658384594913<108>

941139259797974567407311500976526020956324145400848345306122248371802129001325680562131021976208085326156411787601524142989725511359895132399573521230427231535134422577405147=5128323584114008550699112542151120047720913769766554940538011458619*183517916598191779723046244958856136201637898911468033909861090503572708357085225330035555844867658384594913

cado polynomial
n: 941139259797974567407311500976526020956324145400848345306122248371802129001325680562131021976208085326156411787601524142989725511359895132399573521230427231535134422577405147
skew: 0.49
type: snfs
c0: -35
c5: 1264
Y0: 5000000000000000000000000000000000000000
Y1: -1
# f(x) = 1264*x^5-35
# g(x) = -x+5000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 16000000
tasks.lim1 = 16000000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 5128323584114008550699112542151120047720913769766554940538011458619 183517916598191779723046244958856136201637898911468033909861090503572708357085225330035555844867658384594913
Info:Square Root: Total cpu/real time for sqrt: 2098.67/640.317
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 211.69/248.489
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 247.6s
Info:Linear Algebra: Total cpu/real time for bwc: 243855/62355.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 156668.64, WCT time 39999.0, iteration CPU time 0.36, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (114688 iterations)
Info:Linear Algebra: Lingen CPU time 818.21, WCT time 207.88
Info:Linear Algebra: Mksol: CPU time 86358.67,  WCT time 22080.95, iteration CPU time 0.37, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (57344 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 6.78/2.96428
Info:Filtering - Merging: Merged matrix has 3658150 rows and total weight 624026147 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 1052.42/289.625
Info:Filtering - Merging: Total cpu/real time for replay: 146.13/128.697
Info:Filtering - Singleton removal: Total cpu/real time for purge: 641.28/753.618
Info:Quadratic Characters: Total cpu/real time for characters: 131.57/55.0036
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 896.55/889.007
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 727.5999999999999s
Info:Square Root: Total cpu/real time for sqrt: 2098.67/640.317
Info:Generate Free Relations: Total cpu/real time for freerel: 237.34/61.4074
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 49073283
Info:Lattice Sieving: Average J: 1893.74 for 4922613 special-q, max bucket fill -bkmult 1.0,1s:1.115880
Info:Lattice Sieving: Total time: 1.58224e+06s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3.28589e+06/63056.7
5128323584114008550699112542151120047720913769766554940538011458619 183517916598191779723046244958856136201637898911468033909861090503572708357085225330035555844867658384594913

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)

877777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<201>

12552959240238880156671133611977244215193772311428177779302543233603334526387<77>
69925964147484466181286398935166368644230263837598388909290350401694329924977506307770282327347615709798206665285899283888971<125>

r1 = 69925964147484466181286398935166368644230263837598388909290350401694329924977506307770282327347615709798206665285899283888971 (p125)
r2 = 12552959240238880156671133611977244215193772311428177779302543233603334526387 (p77)

n: 877777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
m: 10000000000000000000000000000000000000000
c5: 79
c0: -7
skew: 1
type: snfs
rlim: 30000000
alim: 30000000
lbpr: 30
lbpa: 30
mfbr: 54
mfba: 54
rlambda: 2.2
alambda: 2.2

sieved special-q: [13m;200m)

processed with different FBs:
lbpr/lbpa(m): 30/30, 40/40, 25/28, 10/30, 8/25

with 30m/30m

largePrimes: 5432730 , relations: 9596734, finalFF:4164004
Pruning matrix with wt=0.400
Initial matrix is 3717752 x 4164004 with sparse part having weight 98074369.
(total weight is 260467550)
Matrix pruned to 3156845 x 3175497 with weight 74485702.
Solved successfully.
Factorization found on 0,1,2,3,5,6,7,8,12,15 dependencies.
---
with 8m/25m
relations: 9337677

Matrix loaded: it is 1956035 x 1966635.
Original matrix had 2259738 columns.
Matrix difficulty is about 6309811.90
---
with 10m/30m

rels:8711565, initialFF:0, finalFF:2623788
Pruning matrix with wt=0.300                                                 
Initial matrix is 2524472 x 2634693 with sparse part having weight 187685347.
(total weight is 319960393)                                                  
Matrix pruned to 2459960 x 2472646 with weight 173289624.                    
Total elapsed time: 4296.44 seconds.
Solved: 715000 seconds.
Found only trivial dependencies
---

CPU RAM*
Process:          (GHz days**)(Max RSS)
----------------- ---------- ---------
gnfs-lasieve4I14e    2590 135MB
procrels             0.04 ??MB
matbuild             0.51       711MB
matsolve            59.80       393MB
sqrt                 0.10       ??MB
----------
total 2650.45

* data for successful factorization, w/o unsuccessful time
**1GHz day ~= 1 day on P3 1GHz

ggnfs-0.77.1-20060513-win32 snfs

a few of P4 1.6GHz-3.2GHz, Xeon 2.8GHz
Windows 2000/XP/2003

76520816004585894557773728260408724871009028692231467106296745287133132976734728237831808942291459838390183376750527740715577989475358288751865939630036893<155>

5782404018411648110166815454748384497877<40>
37595486908209942951877118006409040883998680839793433<53>
351994150276473927844279885873013042137927848864046718253017873<63>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1093122412
Step 1 took 360795ms
Step 2 took 60299ms
********** Factor found in step 2: 5782404018411648110166815454748384497877
Found probable prime factor of 40 digits: 5782404018411648110166815454748384497877
Composite cofactor 13233391468485658825625481921670930322613058396720027128203412209853282493676064774723221766614569542493282177028009 has 116 digits

N=13233391468485658825625481921670930322613058396720027128203412209853282493676064774723221766614569542493282177028009
  ( 116 digits)
Divisors found:
 r1=37595486908209942951877118006409040883998680839793433 (pp53)
 r2=351994150276473927844279885873013042137927848864046718253017873 (pp63)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 25.82 hours.
Scaled time: 26.67 units (timescale=1.033).
Factorization parameters were as follows:
n: 13233391468485658825625481921670930322613058396720027128203412209853282493676064774723221766614569542493282177028009
skew: 85371.62
c0: -9979827444384866526154617164
c1: 331808806677520200435296
c2: 8424211730773828899
c3: -140387464789904
c4: 177707858
c5: 7140
Y0: -17930589865459774742451
Y1: 105994965029
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 200000
type: gnfs
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2300000, 3300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 532804 x 533028
Total sieving time: 25.09 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 0.37 hours.
Time per square root: 0.18 hours.
Prototype def-par.txt line would be:
gnfs,115,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4600000,4600000,27,27,54,54,2.5,2.5,100000
total time: 25.82 hours.
 --------- CPU info (if available) ----------

13345482218944648914917926359347117233093739994692369717831901640542582861854781526945786022345704211389762254771660071831195784103397274594639051001<149>

225310304590817781723308338990428370995984972048390071525759087<63>
59231566186824666360668794755510443530364009230255026829534955464635486558291827616023<86>

225310304590817781723308338990428370995984972048390071525759087
59231566186824666360668794755510443530364009230255026829534955464635486558291827616023

cado-nfs

2x Xeon E5-2698v4, 256GB DDR4, Ubuntu Server 22.04

4921073395180720856888184189377577297089569943048016334978593327201134937079721544798660060972348156810446190216564606733165679729265696087293806484348920575288296617255721<172>

43699125572988264051366967919122770000943<41>
112612628528717825035551952115246880376845428132938184814858821615970992697374047206501749125046801892016741340819643150825111799847<132>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=4185989054
Step 1 took 386846ms
Step 2 took 106214ms
********** Factor found in step 2: 43699125572988264051366967919122770000943
Found probable prime factor of 41 digits: 43699125572988264051366967919122770000943

79100562572832841825590943519651400320272966153931040161470767520493857986059500158383101603302757122930269460222081984044807604189829711582751<143>

1167343510375784001345288333778893315161300674475638517<55>
67761170443624840181315193585086533100387030885790133733628123843372066636929735773121603<89>

Number: 87777_205
N = 79100562572832841825590943519651400320272966153931040161470767520493857986059500158383101603302757122930269460222081984044807604189829711582751 (143 digits)
SNFS difficulty: 207 digits.
Divisors found:
r1=1167343510375784001345288333778893315161300674475638517 (pp55)
r2=67761170443624840181315193585086533100387030885790133733628123843372066636929735773121603 (pp89)
Version: Msieve v. 1.51 (SVN 845)
Total time: 665.30 hours.
Factorization parameters were as follows:
n: 79100562572832841825590943519651400320272966153931040161470767520493857986059500158383101603302757122930269460222081984044807604189829711582751
m: 100000000000000000000000000000000000000000
deg: 5
c5: 79
c0: -7
skew: 0.62
# Murphy_E = 7.69e-12
type: snfs
lss: 1
rlim: 19700000
alim: 19700000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19700000/19700000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [0, 0)
Total raw relations: 39804842
Relations: 6584270 relations
Pruned matrix : 3975662 x 3975886
Polynomial selection time: 0.00 hours.
Total sieving time: 648.08 hours.
Total relation processing time: 0.33 hours.
Matrix solve time: 16.51 hours.
time per square root: 0.39 hours.
Prototype def-par.txt line would be: snfs,207,5,0,0,0,0,0,0,0,0,19700000,19700000,29,29,56,56,2.6,2.6,100000
total time: 665.30 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 8, speed: 2.29GHz

GGNFS, Msieve

173037531153102057463202993553824703188086550300757242955416599996055136693826005756489254156385407314809368441225514530645162619867431752421328006524519375641<159>

442217201015164398926470641171013418171175197641<48>
8410368896019846376825302024846877308344690091943<49>
46525348339478569797878957241848888549135023359789135686020807<62>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 173037531153102057463202993553824703188086550300757242955416599996055136693826005756489254156385407314809368441225514530645162619867431752421328006524519375641 (159 digits)
Using B1=54200000, B2=288595837546, polynomial Dickson(12), sigma=1:2666599293
Step 1 took 116643ms
********** Factor found in step 1: 8410368896019846376825302024846877308344690091943
Found prime factor of 49 digits: 8410368896019846376825302024846877308344690091943
Composite cofactor 20574309318939739877914029659956366640142818015533090358743535835370956739414611016766537177327503759063316287 has 110 digits

CADO

STA:Thu 02 Jun 2022 08:42:49 AEST (20574309318939739877914029659956366640142818015533090358743535835370956739414611016766537177327503759063316287 - C110)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 20574309318939739877914029659956366640142818015533090358743535835370956739414611016766537177327503759063316287 2>&1 | tee -a log161

Debug:root: Looking for parameter file for c110 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c110
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c110
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.yihbsg5y
Info:Database: Opened connection to database /tmp/cado.yihbsg5y/c110.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 20574309318939739877914029659956366640142818015533090358743535835370956739414611016766537177327503759063316287
Debug:root: Root parameter dictionary:
N = 20574309318939739877914029659956366640142818015533090358743535835370956739414611016766537177327503759063316287
lim0 = 2910696
lim1 = 3533488
lpb0 = 25
lpb1 = 25
name = c110
===
Debug:Polynomial Selection (root optimized): New best polynomial is:
n: 20574309318939739877914029659956366640142818015533090358743535835370956739414611016766537177327503759063316287
skew: 2614.987
c0: 48580789713131220796884
c1: -130297622975906097761
c2: -21997540971654599
c3: 22850861995636
c4: -6702137244
c5: -640080
Y0: -717062378607070456338
Y1: 1192865078733841
# MurphyE (Bf=3.53e+06,Bg=2.91e+06,area=2.96e+13) = 4.98e-09
# f(x) = -640080*x^5-6702137244*x^4+22850861995636*x^3-21997540971654599*x^2-130297622975906097761*x+48580789713131220796884
# g(x) = 1192865078733841*x-717062378607070456338
===
Info:Square Root: finished
Info:Square Root: Factors: 46525348339478569797878957241848888549135023359789135686020807 442217201015164398926470641171013418171175197641
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 27840.2
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 28415/31.320/38.661/46.140/0.961
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 28415/31.160/34.987/39.410/1.142
Info:Polynomial Selection (size optimized): Total time: 982.25
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 238.29
Info:Polynomial Selection (root optimized): Rootsieve time: 237.42
Info:Generate Factor Base: Total cpu/real time for makefb: 4.43/0.426091
Info:Generate Free Relations: Total cpu/real time for freerel: 36.05/2.42927
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 3758912
Info:Lattice Sieving: Average J: 1882.95 for 96085 special-q, max bucket fill: 0.7464
Info:Lattice Sieving: Total CPU time: 23626.7s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 9.15/9.51575
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 9.099999999999998s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 65.04/33.2049
Info:Filtering - Singleton removal: Total cpu/real time for purge: 50.33/27.8169
Info:Filtering - Merging: Total cpu/real time for merge: 120.36/97.8335
Info:Filtering - Merging: Total cpu/real time for replay: 12.02/9.36076
Info:Linear Algebra: Total cpu/real time for bwc: 2805.21/0.000301838
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 110.87
Info:Linear Algebra: Lingen CPU time 67.21, WCT time 6.93
Info:Linear Algebra: Mksol: WCT time 67.25
Info:Quadratic Characters: Total cpu/real time for characters: 11.97/2.76935
Info:Square Root: Total cpu/real time for sqrt: 264.7/37.3389
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 28226.5/2114.3
Info:root: Cleaning up computation data in /tmp/cado.yihbsg5y
46525348339478569797878957241848888549135023359789135686020807 442217201015164398926470641171013418171175197641

END:Thu 02 Jun 2022 09:18:03 AEST (20574309318939739877914029659956366640142818015533090358743535835370956739414611016766537177327503759063316287 - C110)

14123548760610897393261076749798642979336277436862860926009719728427226582796314207119086680365521066056491711256997095067268998706340899888686397268450066878517056287060460203523365260559295733<194>

450207233183305523508140586468413607358759812761287143059676275940779436004069<78>
31371216896598327323947491724754180609559086323364752014205420006824249824736473485688902388166953530691032181250257<116>

Number: n
N=14123548760610897393261076749798642979336277436862860926009719728427226582796314207119086680365521066056491711256997095067268998706340899888686397268450066878517056287060460203523365260559295733
  ( 194 digits)
SNFS difficulty: 208 digits.
Divisors found:

Sun Jun 27 20:29:25 2021  p78 factor: 450207233183305523508140586468413607358759812761287143059676275940779436004069
Sun Jun 27 20:29:25 2021  p116 factor: 31371216896598327323947491724754180609559086323364752014205420006824249824736473485688902388166953530691032181250257
Sun Jun 27 20:29:25 2021  elapsed time 03:53:16 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 79x10^207-7 = 87(207)
#
n: 14123548760610897393261076749798642979336277436862860926009719728427226582796314207119086680365521066056491711256997095067268998706340899888686397268450066878517056287060460203523365260559295733
m: 100000000000000000000000000000000000000000
deg: 5
c5: 7900
c0: -7
skew: 0.25
# Murphy_E = 4.936e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 21000000/21000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 44900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8676221 hash collisions in 56656800 relations (49850658 unique)
Msieve: matrix is 3039617 x 3039842 (1067.4 MB)

Sieving start time : 2021/06/26 23:04:40
Sieving end time  : 2021/06/27 16:34:54

Total sieving time: 17hrs 30min 14secs.

Total relation processing time: 3hrs 22min 46sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 15min 19sec.

Prototype def-par.txt line would be:
snfs,208,5,0,0,0,0,0,0,0,0,21000000,21000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117292] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239972K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2736K init, 4964K bss, 487264K reserved, 0K cma-reserved)
[    0.153499] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.03 BogoMIPS (lpj=12798064)
[    0.152047] smpboot: Total of 16 processors activated (102384.51 BogoMIPS)

15835626683266726793434847222147859848523806984751454630066722049919768419057473757172425159185380788496080062788584845869059759174661963496173<143>

13311061084013071829753089826818661626343<41>
1189659230268706636378664731942993327609788807824886261907016380245276961970305586283646302165626124811<103>

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=2723174085
Step 1 took 37848ms
Step 2 took 22804ms
********** Factor found in step 2: 13311061084013071829753089826818661626343
Found probable prime factor of 41 digits: 13311061084013071829753089826818661626343
Probable prime cofactor

8293305951968075025906166656501669096501852426551830099148076356936247079872699103311634870981860260717611144566514194645659874950827<133>

51439689458238369788710546098747681048712596763<47>
161223872836577809913477095692891083511161980591440168427529937921566843564789887466929<87>

N=8293305951968075025906166656501669096501852426551830099148076356936247079872699103311634870981860260717611144566514194645659874950827
  ( 133 digits)
Divisors found:
 r1=51439689458238369788710546098747681048712596763 (pp47)
 r2=161223872836577809913477095692891083511161980591440168427529937921566843564789887466929 (pp87)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 184.03 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
# Murphy_E = 5.617e-11, selected by Dmitry Domanov
n: 8293305951968075025906166656501669096501852426551830099148076356936247079872699103311634870981860260717611144566514194645659874950827
Y0: -86107019968681738960880036
Y1: 64749440381633
c0: -7711033748389550425594605761035377
c1: 39777848176191907485453437011
c2: -26690431208626885915641
c3: -20066374473031563
c4: 4235261098
c5: 1752
skew: 2025008.04
type: gnfs
# selected mechanically
rlim: 11700000
alim: 11700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
qintsize: 600000
Factor base limits: 11700000/11700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved algebraic special-q in [5850000, 13050001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1678733 x 1678961
Total sieving time: 180.48 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 2.70 hours.
Time per square root: 0.60 hours.
Prototype def-par.txt line would be:
gnfs,132,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,11700000,11700000,28,28,54,54,2.6,2.6,100000
total time: 184.03 hours.
 --------- CPU info (if available) ----------
[    0.074309] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49296732k/51380224k available (5105k kernel code, 1057796k absent, 1025696k reserved, 7223k data, 1316k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.00 BogoMIPS (lpj=2400000)
[    0.707507] Total of 16 processors activated (76799.07 BogoMIPS).

1149567034512213220088545858842471173447837161853398964434417997916093664043529383787629452183646096122017544588476541508904680375036294064192665464767460809684509600138543<172>

172383052434625855067462645826629845839084690781020064967022244672562657293670598143025405112992594515328292390707127751165824359865653329413516332277861748656858614430558541174258371703774755651<195>

220459913537107850934495213139496617450903936676611153475760273903562552084492001193388076212277723207055853496944125675060657938030605929183669798805424806607953479893366428663760527617185408257517<198>

1087939884623106772213229255489938493<37>
202639793478553658115652150965902186697886446811359939214876913534419009040780077224741956034134778575865546972893934216872892541394004893205655970137687602035569<162>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1964152796
Step 1 took 98147ms
Step 2 took 32841ms
********** Factor found in step 2: 1087939884623106772213229255489938493
Found probable prime factor of 37 digits: 1087939884623106772213229255489938493

551203247734190090170781116332122228161960510780652902758753416317610232782690359280067995874459985654900591436200739375663803082067611943954798040420822608331026826831817765117406675516479013009603711866861<207>

323658726009098312018451841128270911<36>

1703038427330073947023812304330065375272363070107912795084276660594330688825690848720213100372748680394152872802467051917738205912451304942968381860182462477733613238026451<172>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2474367983
Step 1 took 26638ms
Step 2 took 10288ms
********** Factor found in step 2: 323658726009098312018451841128270911
Found probable prime factor of 36 digits: 323658726009098312018451841128270911

3404664983939662991014488083718955311565638509699367064182469775928182688489339627064612286853925618680010587261655116335357703482481252826401780640725480333468970220734127779<175>

171020231891722008219252590715888395788368398911<48>
19907966129383204110863564222144096330799293318913754451049059799938997919518329024210504101205147936729647010503614114806917789<128>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=85523376
Step 1 took 84659ms
Step 2 took 29362ms
********** Factor found in step 2: 171020231891722008219252590715888395788368398911
Found probable prime factor of 48 digits: 171020231891722008219252590715888395788368398911

6406712324029079517588022064320296986475940555515745352882757357744029880792634166945749068747285877640976836279358504860860127853679141104159981023895796995459432293280892181658647048043545749<193>

13548904075690274609707678397530106677427<41>
472858342507873826670839408471421705575428676725018033941797124140371126892296478850439414912836194509750236065254679015107946138249088094783403198484887<153>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3084284827
Step 1 took 138000ms
Step 2 took 24737ms
********** Factor found in step 2: 13548904075690274609707678397530106677427
Found probable prime factor of 41 digits: 13548904075690274609707678397530106677427

458460308877401184679640345931954657776774963135633516180777944090365560451428920269071525941118464595171620161048198399356901414565453100034175508747511797870904284019697<171>

1380651287670811463733249895114847<34>
3578536323597400413667591182468660583<37>
44624691150851792922923982967011093646151636882903<50>
2079395439648913861521238762624333144148243743549999<52>

GMP-ECM 6.4.4 [configured with GMP 5.1.2] [ECM]
Input number is 458460308877401184679640345931954657776774963135633516180777944090365560451428920269071525941118464595171620161048198399356901414565453100034175508747511797870904284019697 (171 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3519731302
Step 1 took 5007ms
Step 2 took 2746ms
********** Factor found in step 2: 1380651287670811463733249895114847
Found probable prime factor of 34 digits: 1380651287670811463733249895114847
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=317491363
Step 1 took 13182ms
********** Factor found in step 1: 3578536323597400413667591182468660583
Found probable prime factor of 37 digits: 3578536323597400413667591182468660583
Composite cofactor 92792379274822459822792497907666650308311865770854313941186717265894411394437360528420147559888767097 has 101 digits

Number: 87777_216
N=92792379274822459822792497907666650308311865770854313941186717265894411394437360528420147559888767097
  ( 101 digits)
Divisors found:
 r1=44624691150851792922923982967011093646151636882903 (pp50)
 r2=2079395439648913861521238762624333144148243743549999 (pp52)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 6.10 hours.
Scaled time: 12.61 units (timescale=2.068).
Factorization parameters were as follows:
name: 87777_216
n: 92792379274822459822792497907666650308311865770854313941186717265894411394437360528420147559888767097
skew: 6385.26
# norm 1.89e+013
c5: 9840
c4: 358959239
c3: -518697176429
c2: -13426681194984237
c1: 16652072526296062174
c0: 73364307122806896768488
# alpha -4.80
Y1: 24141379459
Y0: -24825634735349351747
# Murphy_E 3.18e-009
# M 91985633684974634461892300072334220346557455466987951965802133221117058590312429729740245499741291164
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 177892 x 178117
Polynomial selection time: 0.43 hours.
Total sieving time: 5.53 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,100,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 6.10 hours.
 --------- CPU info (if available) ----------

12332284016427621899914535617318605175518271267251958424060599638983853015650472298359663541012147071908509237476642514970788467482659063559453249812370936738524798244715725375396939369695589117<194>

244843477663081473688457730713955783846017523202689855101449920872875173972677153548071310966402853799300887797357065532579208491117248614584450946126990125021748417230096551445581540031027637213<195>

440815319678562961843866652796354987<36>

555433231861402381912397664674359925562167899846734585429872851452689149225888963090346516588183954273061486855338219725867375076353296303854083328639153000599<159>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1140363784
Step 1 took 5382ms
Step 2 took 2527ms
********** Factor found in step 2: 440815319678562961843866652796354987
Found probable prime factor of 36 digits: 440815319678562961843866652796354987
Composite cofactor

555433231861402381912397664674359925562167899846734585429872851452689149225888963090346516588183954273061486855338219725867375076353296303854083328639153000599<159>

34251010058244144838880603619309035348227<41>
16216550429224810302692282427309242790069275365818798702893248973683283959922795143912430091972266909092331456957340637<119>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1246904674
Step 1 took 78586ms
Step 2 took 27655ms
********** Factor found in step 2: 34251010058244144838880603619309035348227
Found probable prime factor of 41 digits: 34251010058244144838880603619309035348227

54414575079066017207792829151328194177706860449279276686641839350022324213562624131561126658215891355842441830712241793247607239363085868610548081947819872740030004700384700448949335742836880913108261922217793<209>

3689346831748446406531599844502867<34>

14749108056419296373661958376627233261052747095882048796077346621373653465685575958333130945108109088868674831781462726800723418842008246333315882974958310230057471440737933979<176>

GMP-ECM 6.4.4 [configured with GMP 5.1.2] [ECM]
Input number is 54414575079066017207792829151328194177706860449279276686641839350022324213562624131561126658215891355842441830712241793247607239363085868610548081947819872740030004700384700448949335742836880913108261922217793 (209 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2369449115
Step 1 took 5163ms
Step 2 took 2793ms
********** Factor found in step 2: 3689346831748446406531599844502867
Found probable prime factor of 34 digits: 3689346831748446406531599844502867
Composite cofactor 14749108056419296373661958376627233261052747095882048796077346621373653465685575958333130945108109088868674831781462726800723418842008246333315882974958310230057471440737933979 has 176 digits

14749108056419296373661958376627233261052747095882048796077346621373653465685575958333130945108109088868674831781462726800723418842008246333315882974958310230057471440737933979<176>

3926623587242355123065224705192167167141591350284188936750041<61>
3756180781967315859754967028700875921319706624794330598075868015820725895272715836782919990315449879481116032675219<115>

Number: 87777_219
N = 14749108056419296373661958376627233261052747095882048796077346621373653465685575958333130945108109088868674831781462726800723418842008246333315882974958310230057471440737933979 (176 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=3926623587242355123065224705192167167141591350284188936750041 (pp61)
r2=3756180781967315859754967028700875921319706624794330598075868015820725895272715836782919990315449879481116032675219 (pp115)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 106.06 hours.
Factorization parameters were as follows:
n: 14749108056419296373661958376627233261052747095882048796077346621373653465685575958333130945108109088868674831781462726800723418842008246333315882974958310230057471440737933979
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 79
c0: -70
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 9011106 relations
Pruned matrix : 7810653 x 7810878
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 54.07 hours.
Total relation processing time: 0.46 hours.
Matrix solve time: 50.97 hours.
time per square root: 0.56 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 106.06 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

2264064425529475826096924884647350471441263290631358725245751296821712091250394061846215573324162439457770899607371105952483306107242140257358209382970796434815005875103889032184105694551915857048691714670564296563780701<220>

1236858468113143420620838140389723409954484569973<49>
1830495957215993489131281911974119503330175609084769592265148421589008041178059785598371415570436759186637069562170543621785952447045577283475709194204226235249000515492937<172>

Number: n
N=2264064425529475826096924884647350471441263290631358725245751296821712091250394061846215573324162439457770899607371105952483306107242140257358209382970796434815005875103889032184105694551915857048691714670564296563780701
  ( 220 digits)
SNFS difficulty: 223 digits.
Divisors found:

Sat May 18 10:19:51 2019  p49 factor: 1236858468113143420620838140389723409954484569973
Sat May 18 10:19:51 2019  p172 factor: 1830495957215993489131281911974119503330175609084769592265148421589008041178059785598371415570436759186637069562170543621785952447045577283475709194204226235249000515492937
Sat May 18 10:19:51 2019  elapsed time 14:40:25 (Msieve 1.54 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.125).
Factorization parameters were as follows:
#
# N = 79x10^222-7 = 87(222)
#
n: 2264064425529475826096924884647350471441263290631358725245751296821712091250394061846215573324162439457770899607371105952483306107242140257358209382970796434815005875103889032184105694551915857048691714670564296563780701
m: 10000000000000000000000000000000000000
deg: 6
c6: 79
c0: -7
skew: 0.67
# Murphy_E = 2.024e-12
type: snfs
lss: 1
rlim: 38000000
alim: 38000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 38000000/38000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 80600000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 7349427 hash collisions in 51781604 relations (45878408 unique)
Msieve: matrix is 5434052 x 5434277 (1923.7 MB)

Sieving start time: 2019/05/16 02:15:20
Sieving end time  : 2019/05/17 19:09:53

Total sieving time: 40hrs 54min 33secs.

Total relation processing time: 13hrs 46min 56sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 22min 35sec.

Prototype def-par.txt line would be:
snfs,223,6,0,0,0,0,0,0,0,0,38000000,38000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.044000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16285084K/16703460K available (12300K kernel code, 2473K rwdata, 4276K rodata, 2408K init, 2416K bss, 418376K reserved, 0K cma-reserved)
[    0.076569] x86/mm: Memory block size: 128MB
[    0.032000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.92 BogoMIPS (lpj=11977856)
[    0.074217] smpboot: Total of 16 processors activated (95822.84 BogoMIPS)

2955441397329949791767636718539854081360281788513147784782017448833876016898952294349901930828932441870487159720042190908019899595911664527723472913860435093076384169609165410279091623657318068919078949558239<208>

16726077825235762910383066476303047617909847852522619392303<59>

176696618789545258059742783708386469363886245300748475462963517648596826349639525253281985708001182616572811058365821851359057292878415516260674476113<150>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1241237307
Step 1 took 377587ms
Step 2 took 71856ms
********** Factor found in step 2: 16726077825235762910383066476303047617909847852522619392303
Found probable prime factor of 59 digits: 16726077825235762910383066476303047617909847852522619392303

176696618789545258059742783708386469363886245300748475462963517648596826349639525253281985708001182616572811058365821851359057292878415516260674476113<150>

18059555579381589562577278098801498354135946686674361090451<59>
9784106702563488650669534135453415021996334601858744030499080243838595744411942779779562763<91>

Number: 87777_223
N = 176696618789545258059742783708386469363886245300748475462963517648596826349639525253281985708001182616572811058365821851359057292878415516260674476113 (150 digits)
SNFS difficulty: 225 digits.
Divisors found:
r1=18059555579381589562577278098801498354135946686674361090451 (pp59)
r2=9784106702563488650669534135453415021996334601858744030499080243838595744411942779779562763 (pp91)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 169.31 hours.
Factorization parameters were as follows:
n: 176696618789545258059742783708386469363886245300748475462963517648596826349639525253281985708001182616572811058365821851359057292878415516260674476113
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 79000
c0: -7
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 22369621
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/22369621
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 38338056
Relations: 13264374 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 77.36 hours.
Total relation processing time: 0.95 hours.
Pruned matrix : 11206795 x 11207020
Matrix solve time: 90.49 hours.
time per square root: 0.51 hours.
Prototype def-par.txt line would be: snfs,225,4,0,0,0,0,0,0,0,0,536870912,22369621,29,28,58,56,2.8,2.8,100000
total time: 169.31 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

23497530669078529647801332838581948693076976525065599138904849933083915491536530926235228888490346687700147660482866369162847676042380166141775151958674534908279095591927926011877994572495723<191>

66512977352951970581380852591<29>

353277384417608922477943725276144172044612431110057486011913292424261835229222021643726271980985935878244087607616444014052065893352663200023873792650430036992453<162>

GMP-ECM 6.4.4 [configured with GMP 5.1.2] [ECM]
Input number is 23497530669078529647801332838581948693076976525065599138904849933083915491536530926235228888490346687700147660482866369162847676042380166141775151958674534908279095591927926011877994572495723 (191 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1468205189
Step 1 took 4431ms
Step 2 took 2496ms
********** Factor found in step 2: 66512977352951970581380852591
Found probable prime factor of 29 digits: 66512977352951970581380852591
Composite cofactor 353277384417608922477943725276144172044612431110057486011913292424261835229222021643726271980985935878244087607616444014052065893352663200023873792650430036992453 has 162 digits

353277384417608922477943725276144172044612431110057486011913292424261835229222021643726271980985935878244087607616444014052065893352663200023873792650430036992453<162>

488767891932014384840532552801121885592449<42>
722791718214477889789297895774064985957698999912916435979546163641667842882162543203834978460427594528465788168588720197<120>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1670730117
Step 1 took 70495ms
Step 2 took 25347ms
********** Factor found in step 2: 488767891932014384840532552801121885592449
Found probable prime factor of 42 digits: 488767891932014384840532552801121885592449

416697814874499754495825689167015602678274900473331920996224967127296955458651043031628423970721551180263261850741772444382507359157165288374323574701370242878679479869228133843503752148492891506692221984025547<210>

870003107240325443454330360123153670884739844290713728049137578149393305772478468592919600256712103183539388707177231672796715718535413743923577691875851482984924306765602543411310699768377938451559476764841276375968587<219>

5511312731561527508039843449696153<34>

157857691917588990666718396717082748335941742176429281778990833870014736302684231299619019822576026702149513802453697209514744515183944281478549540605314609920925676772577086943325032579<186>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=240698682
Step 1 took 6637ms
********** Factor found in step 1: 5511312731561527508039843449696153
Found probable prime factor of 34 digits: 5511312731561527508039843449696153
Composite cofactor 

7483286686774954307323223013851667642553254795753286325189237404891995399996072439784617368367492243589624638871034145853448203592250057495776962112434108527479960732652826596892458741680556993296841761423847<208>

1005418667340311289079858796414784925498453<43>

7442955785345521568128887513323114934191523267764180761627981116328611787881955110471418717688911210256862559167197735453824826631415557447305037204210586871167009099<166>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1980985415
Step 1 took 79352ms
Step 2 took 26577ms
********** Factor found in step 2: 1005418667340311289079858796414784925498453
Found probable prime factor of 43 digits: 1005418667340311289079858796414784925498453

7442955785345521568128887513323114934191523267764180761627981116328611787881955110471418717688911210256862559167197735453824826631415557447305037204210586871167009099<166>

2875059159547083430910362181269151082458569254926053<52>
2588800915845513383101914896271571885904374303571451640106965496598236135211561362611466741154276401779770719183983<115>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1070895562
Step 1 took 374640ms
Step 2 took 90333ms
********** Factor found in step 2: 2875059159547083430910362181269151082458569254926053
Found probable prime factor of 52 digits: 2875059159547083430910362181269151082458569254926053

6911715757404404895504023879910676416711091170759029648080124039014126288392525062413125196489557182331382932027327309524440230254766363650932921106566453604369987827059020760575056972692641725243370887<202>

247148663503878931016407529939679841079<39>

27965822915712135330227701653441186820524059050077830350248850653447873516324155030401362460337980985076055326040182280949269637899301230829901863663966303064930353<164>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1179114001
Step 1 took 5801ms
********** Factor found in step 1: 247148663503878931016407529939679841079
Found probable prime factor of 39 digits: 247148663503878931016407529939679841079
Composite cofactor 

2554492351743203553466465047163590561279014056908519070000000685201516774421702793327336915507089727958089217742945779099282127536202744456448278526479422651<157>

100017576746571698829069957017933080364050169132171253243124481<63>
25540434340014779996360985590058091748355493138758446792659046515907246080456144530845443824571<95>

Wed May 26 15:35:57 2021  Msieve v. 1.54 (SVN Unversioned directory)
Wed May 26 15:35:57 2021  random seeds: 4bf300d0 d25d6181
Wed May 26 15:35:57 2021  factoring 2554492351743203553466465047163590561279014056908519070000000685201516774421702793327336915507089727958089217742945779099282127536202744456448278526479422651 (157 digits)
Wed May 26 15:35:58 2021  searching for 15-digit factors
Wed May 26 15:35:58 2021  commencing number field sieve (157-digit input)
Wed May 26 15:35:58 2021  R0: -2530893774868872527835187432854
Wed May 26 15:35:58 2021  R1: 11653837865472407
Wed May 26 15:35:58 2021  A0: -39861548823757403003701316883289116185
Wed May 26 15:35:58 2021  A1: -57577200590567430222475767684207
Wed May 26 15:35:58 2021  A2: 49851357607445266131094441
Wed May 26 15:35:58 2021  A3: -11633836605299727549
Wed May 26 15:35:58 2021  A4: -1087030755260
Wed May 26 15:35:58 2021  A5: 24600
Wed May 26 15:35:58 2021  skew 1.00, size 2.933e-015, alpha -6.955, combined = 1.490e-014 rroots = 3
[ . . . ]
Wed May 26 20:14:13 2021  p63 factor: 100017576746571698829069957017933080364050169132171253243124481
Wed May 26 20:14:13 2021  p95 factor: 25540434340014779996360985590058091748355493138758446792659046515907246080456144530845443824571

Complete log at: https://pastebin.com/dm8fzJt9

GGNFS + Msieve v.1.54

82892342966042213239400573371437279150474910801145173182561549939518508313762414667750119003360937012253729090452920358648327295445665593058807851423049145512567865013050212184570296736516496408080188925277814865972837<218>

554494680653332813408576361826673100014379304712498696158836455714216322113612745846259796457194663958161007813750452618147366283179558682361295233691981514922926786270000503093116854905915807975265525508961<207>

247954352605437443251882252422225530142071233814372400611835313448746502937255603238040528544621783508594132406066890440254746997230811594081033908497959449506786203278217016104173<180>

26515105162651427467330923502758018889479416898557000042772888881925109348036846670363849894635171080266285352923212132845128999409800284253569152960919252485371347194021541335810963348044864898579199348038721623933091915765054001<230>

772078607953732385651868748068066201789825389347011148280470907372479942759144687844018860639972710447437774669635962448733884102502017814899605690200130642455165912743586389055065638410317873716858075219783325259387748797<222>

418087907010059046452184367323271213<36>
1846689643513550485795319006951130633585074687057887293805167736568325939099349731024318113643225455637981127588920038646132495600091349793498292750728901266323442308403459785602663522769<187>

GMP-ECM 6.4.4 [configured with GMP 5.1.2] [ECM]
Input number is 772078607953732385651868748068066201789825389347011148280470907372479942759144687844018860639972710447437774669635962448733884102502017814899605690200130642455165912743586389055065638410317873716858075219783325259387748797 (222 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=547385329
Step 1 took 5616ms
Step 2 took 3151ms
********** Factor found in step 2: 418087907010059046452184367323271213
Found probable prime factor of 36 digits: 418087907010059046452184367323271213
Probable prime cofactor 1846689643513550485795319006951130633585074687057887293805167736568325939099349731024318113643225455637981127588920038646132495600091349793498292750728901266323442308403459785602663522769 has 187 digits

1036048125441664484423725470979097077250537432113024167028398995383441295502811481552453937786113628955977844190285455167368746569788158713855840567005514015839<160>

126380238452822708031774905264088777653<39>

8197864936205335235501708296163171254573749099445025960983141549516338613453057940271888339451821724067989462612908112963<121>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=300033392
Step 1 took 19434ms
********** Factor found in step 1: 126380238452822708031774905264088777653
Found probable prime factor of 39 digits: 126380238452822708031774905264088777653
Composite cofactor 8197864936205335235501708296163171254573749099445025960983141549516338613453057940271888339451821724067989462612908112963 has 121 digits

8197864936205335235501708296163171254573749099445025960983141549516338613453057940271888339451821724067989462612908112963<121>

265011378735120677579696021434061048333<39>
30934011118062651718046768786808420511066496736302598426127668771009169641224756111<83>

N=8197864936205335235501708296163171254573749099445025960983141549516338613453057940271888339451821724067989462612908112963
  ( 121 digits)
Divisors found:
 r1=265011378735120677579696021434061048333 (pp39)
 r2=30934011118062651718046768786808420511066496736302598426127668771009169641224756111 (pp83)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 52.13 hours.
Scaled time: 60.68 units (timescale=1.164).
Factorization parameters were as follows:
n: 8197864936205335235501708296163171254573749099445025960983141549516338613453057940271888339451821724067989462612908112963
skew: 195165.61
c0: 101586345050918921149421275585
c1: 8103176327392047421534886
c2: -35472112284322103723
c3: -436390449517934
c4: 884443738
c5: 4488
Y0: -283354141415360842665078
Y1: 291014324419
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 240000
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2550000, 4710001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 718872 x 719120
Total sieving time: 51.12 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 0.70 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
gnfs,120,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5100000,5100000,27,27,54,54,2.5,2.5,100000
total time: 52.13 hours.
 --------- CPU info (if available) ----------

877777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<243>

131139656594346615074479392990491<33>

6693457955994208940804877882536476465067775329723689997204197995747658680100355391301897343218617917671909242889765180629809557707012800801938670622014726752532123188819507160329764321273244374098576719391291747<211>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4177592918
Step 1 took 34992ms
Step 2 took 12593ms
********** Factor found in step 2: 131139656594346615074479392990491
Found probable prime factor of 33 digits: 131139656594346615074479392990491

75769128587884036787350583757976139438215071151048155597180621134215899815948154733988016968448392111954162554513010710302011910139731700556567409108216538578475237401943717924002604923458793582834360052980843837907774583965142364437999273<239>

20641317370806028640200300338404213385220935030685514860605629137646185277364760093770373845184716219887200733051495588594888418209902311245688844760500308415562425980601802200414038477624495011762337684621650147<212>

22606619683564693086018365429438048352104498573791909558632416618170281132081878826449928477122450825380165649273176829142904368219518347217414578396722518106687331491534140224406933370805227406348116125155473017401<215>

41262318799978657231051344016124549269419211404144234221982859074088614775392370661450014112588325004310418194202467692194635069978002701041318178362189708491517621695491577532532309281593524110781396155477<206>

94354060183503660798645041705839948341865908404578568724473704947298542811242958574300472530148206864156419807044210971817189892662575667536369171118338763978083950854054488653920681927432863317707729261738345704427494171<221>

434532109333526348009940031867606818204483642846232015501550771426083922756113678541572929404296974690894859310446248260330625696666342146017278119842938896164353449982035247360030407760516634999103783734844627806753243305709<225>

2048654228796297132856218379525304521043407980397800296353815958151812885171950573866022529294732357727321941680198477571593853582031238065146088356968059110652570871304776282091437718123233063148499407<202>

1159727783966352877918808903426281<34>

1766495773507944715932879894076508095046165627711250683376723771206268172101500830221671626664959399708720508555327207219262354554427794324060937449458577492434827168247<169>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=935063874
Step 1 took 26715ms
Step 2 took 9977ms
********** Factor found in step 2: 1159727783966352877918808903426281
Found probable prime factor of 34 digits: 1159727783966352877918808903426281

1766495773507944715932879894076508095046165627711250683376723771206268172101500830221671626664959399708720508555327207219262354554427794324060937449458577492434827168247<169>

139745531337145856857043890725333475319884545301<48>
403452367214998500630773240585673045557346964890911360647<57>
31331587879824130288966943418005491044883132660140990893161375501<65>

Input number is 1766495773507944715932879894076508095046165627711250683376723771206268172101500830221671626664959399708720508555327207219262354554427794324060937449458577492434827168247 (169 digits)
Using B1=110000000, B2=1589211473866, polynomial Dickson(30), sigma=2524724238
Step 1 took 475547ms
Step 2 took 193658ms
********** Factor found in step 2: 403452367214998500630773240585673045557346964890911360647
Found probable prime factor of 57 digits: 403452367214998500630773240585673045557346964890911360647

Input number is 1766495773507944715932879894076508095046165627711250683376723771206268172101500830221671626664959399708720508555327207219262354554427794324060937449458577492434827168247 (169 digits)
Using B1=110000000, B2=1589211473866, polynomial Dickson(30), sigma=620344600
Step 1 took 406872ms
Step 2 took 164547ms
********** Factor found in step 2: 139745531337145856857043890725333475319884545301
Found probable prime factor of 48 digits: 139745531337145856857043890725333475319884545301

188347758625910119019094409671633563952050952121761342409311150258835119180024456598835247924061998360182425532898989097048924403170059668093102919652515074377099392065886430116186725583752883926044656538325550279434165186706272147252661842579897<246>

2952828461416047676928082502752699819882031<43>
63785540232698364384830925043609488245485774438688147295861654113534081692378907677904762015263539287954152084415084689831810811174138492503588459432799053572372521190035786308124023477455079938113627287<203>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3118737219
Step 1 took 106995ms
Step 2 took 31837ms
********** Factor found in step 2: 2952828461416047676928082502752699819882031
Found probable prime factor of 43 digits: 2952828461416047676928082502752699819882031

1008939974457215836526181353767560664112388250319284802043422733077905491698595146871008939974457215836526181353767560664112388250319284802043422733077905491698595146871008939974457215836526181353767560664112388250319284802043422733077905491698595146871<253>

1427190242062962366588871951973552423630915943002384307159099576624984151641958568493138720913505893733207101282560305924947034205798586609567396037753470162658667927346380385145070575814839972590874291493094706427683392487662543797337086089599<244>

61985339292638297692666476370095314493282943234650976221437750105314112715179554528175586119132454529658931986768985077082166581238521232128007564309628094439279532313967563733059251391351420378604296832801011033091039<218>

14376295345155743502869890705579476619139362169270140962305535583423731114506828467321315842295315675239124196087573112105805166258216098284362030056648063012576346772257826300504244009770785438887369369064432553974345046010514349271549475292516665128949<254>

81050579665538114291576895455011798502103211244485482712629527033959166923155842823432851133682158612906535344208474402380219554734790191853903765261105981327587975787421770801272186313737560274956396840053349748640607366369139222324817892684928696009028419<257>

1223849411496274098022175379661976211868291544087719977910018058190210787227050364986595115357102278551664397005352598334983538203868902350745845135970864285308189991842690427748045983046005460219327625655613736789<214>

8494467510814167446721503376232321130108255649182762722006101227196337452457803395515807565797528203721642424923210326904705971746664040796889051788289022359185267255684057594015354301525241350601196149600364922472557825632168486547481<235>

39186020323630432026026583152686180915182633597161816649594243826298350932534699644225278110713131200674031496481307733410413167636114937650457746827970454105247824642508422251227398776529310475384728179505740406826077570449<224>