2549423294440337571087290903497700361859461239948612878825560392658318637774911572584694853772175150748353008237496604193<121>

199795892670038144209829374746205946009729446983267859<54>
12760138661362256349935504330320109597229231443037841109860164508027<68>

Number: trial
N=2549423294440337571087290903497700361859461239948612878825560392658318637774911572584694853772175150748353008237496604193
  ( 121 digits)
SNFS difficulty: 154 digits.
Divisors found:
 r1=199795892670038144209829374746205946009729446983267859 (pp54)
 r2=12760138661362256349935504330320109597229231443037841109860164508027 (pp68)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 70.94 hours.
Scaled time: 38.88 units (timescale=0.548).
Factorization parameters were as follows:
n: 2549423294440337571087290903497700361859461239948612878825560392658318637774911572584694853772175150748353008237496604193
m: 1000000000000000000000000000000
c5: 13000
c0: -1
skew: 1
type: snfsFactor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1200000, 2600001)
Primes: RFBsize:176302, AFBsize:176953, largePrimes:5649921 encountered
Relations: rels:5555582, finalFF:412943
Max relations in full relation-set: 0
Initial matrix: 353322 x 412943 with sparse part having weight 38504182.
Pruned matrix : 331910 x 333740 with weight 28482681.
Total sieving time: 59.58 hours.
Total relation processing time: 0.57 hours.
Matrix solve time: 10.38 hours.
Time per square root: 0.41 hours.
Prototype def-par.txt line would be:
snfs,154,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 70.94 hours.
 --------- CPU info (if available) ----------

GGNFS-0.77.1-20060722-pentium4

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

448099262505762739810790562822297173729543427286178125601790590364287468716846509427825261974678202403285587890997654342153<123>

664604448458801168137249105380355621156169<42>
674234521819545742193894263762175555094507255650621412062733023543616234671763137<81>

Number: n
N=448099262505762739810790562822297173729543427286178125601790590364287468716846509427825261974678202403285587890997654342153
  ( 123 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=664604448458801168137249105380355621156169 (pp42)
 r2=674234521819545742193894263762175555094507255650621412062733023543616234671763137 (pp81)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 21.55 hours.
Scaled time: 31.23 units (timescale=1.449).
Factorization parameters were as follows:
name: KA_4_3_155
n: 448099262505762739810790562822297173729543427286178125601790590364287468716846509427825261974678202403285587890997654342153
skew: 0.60
deg: 5
c5: 13
c0: -1
m: 10000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1000001)
Primes: RFBsize:216816, AFBsize:215931, largePrimes:7088794 encountered
Relations: rels:6747346, finalFF:648840
Max relations in full relation-set: 28
Initial matrix: 432812 x 648840 with sparse part having weight 40651871.
Pruned matrix : 253312 x 255540 with weight 20462953.
Total sieving time: 19.43 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 1.90 hours.
Total square root time: 0.05 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 21.55 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

8985964541944218457144242823891451622905412479065263958964874992630944518378669494178261920751344671254683705993473379975985419491<130>

137685447586916374009095336332502139351312592931137<51>
65264446602257434699232134121438332071155454252336113787950688082621777887383843<80>

Number: n
N=8985964541944218457144242823891451622905412479065263958964874992630944518378669494178261920751344671254683705993473379975985419491
  ( 130 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=137685447586916374009095336332502139351312592931137 (pp51)
 r2=65264446602257434699232134121438332071155454252336113787950688082621777887383843 (pp80)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 35.28 hours.
Scaled time: 42.09 units (timescale=1.193).
Factorization parameters were as follows:
name: KA_4_3_156
n: 8985964541944218457144242823891451622905412479065263958964874992630944518378669494178261920751344671254683705993473379975985419491
type: snfs
skew: 0.38
deg: 5
c5: 130
c0: -1
m: 10000000000000000000000000000000
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 1400000)
Primes: RFBsize:216816, AFBsize:216816, largePrimes:6426802 encountered
Relations: rels:5897314, finalFF:498059
Max relations in full relation-set: 28
Initial matrix: 433699 x 498059 with sparse part having weight 28485229.
Pruned matrix : 374897 x 377129 with weight 17607571.
Total sieving time: 31.93 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 2.95 hours.
Total square root time: 0.18 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.3,2.3,100000
total time: 35.28 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD XP 2700+

66254419135368374354145868844236142720498084646190457527394820437684299192700760966498827238982222849523472761840642307270779277283858346731482858193<149>

1478358147879228767608167158274095081731<40>
1068416170500962398505260990592751451937327749<46>
41946404360747518012731992568602333958344340144878162072473881247<65>

GMP-ECM 5.0 [powered by GMP 4.1.2] [ECM]
Input number is 66254419135368374354145868844236142720498084646190457527394820437684299192700760966498827238982222849523472761840642307270779277283858346731482858193 (149 digits)
Using B1=1221000, B2=1115838708, polynomial Dickson(6), sigma=3868904604
Step 1 took 24280ms
Step 2 took 18370ms
********** Factor found in step 2: 1478358147879228767608167158274095081731
Found probable prime factor of 40 digits: 1478358147879228767608167158274095081731
Composite cofactor 44816216713394732869400742251936381608859550861620422044292600609519547873818196195562696333410057367543823003 has 110 digits


Number: n
N=44816216713394732869400742251936381608859550861620422044292600609519547873818196195562696333410057367543823003
  ( 110 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=1068416170500962398505260990592751451937327749 (pp46)
 r2=41946404360747518012731992568602333958344340144878162072473881247 (pp65)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 41.22 hours.
Scaled time: 49.26 units (timescale=1.195).
Factorization parameters were as follows:
name: KA_4_3_160

n: 44816216713394732869400742251936381608859550861620422044292600609519547873818196195562696333410057367543823003

# n: 66254419135368374354145868844236142720498084646190457527394820437684299192700760966498827238982222849523472761840642307270779277283858346731482858193

type: snfs
skew: 0.60
deg: 5
c5: 13
c0: -1
m: 100000000000000000000000000000000
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1700001)
Primes: RFBsize:250150, AFBsize:249271, largePrimes:6713157 encountered
Relations: rels:6239590, finalFF:580304
Max relations in full relation-set: 28
Initial matrix: 499486 x 580304 with sparse part having weight 30086204.
Pruned matrix : 422637 x 425198 with weight 17790023.
Total sieving time: 37.50 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 3.33 hours.
Total square root time: 0.09 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.3,2.3,100000
total time: 41.22 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD XP 2700+

215045989550297315654863919994251904257815223605138461618086564897394811789556878090551491142316445311255103555809184394301856619887795350638801947<147>

6916321829686376333181913823<28>
11574884111412367178608580326121743923707807455418638553<56>
2686207161095289004338174437326230035207838243702836292283105613<64>

Number: n
N=215045989550297315654863919994251904257815223605138461618086564897394811789556878090551491142316445311255103555809184394301856619887795350638801947
  ( 147 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=6916321829686376333181913823 (pp28)
 r2=11574884111412367178608580326121743923707807455418638553 (pp56)
 r3=2686207161095289004338174437326230035207838243702836292283105613 (pp64)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 61.29 hours.
Scaled time: 58.97 units (timescale=0.962).
Factorization parameters were as follows:
name: KA_4_3_161
n: 215045989550297315654863919994251904257815223605138461618086564897394811789556878090551491142316445311255103555809184394301856619887795350638801947
type: snfs
skew: 1
deg: 5
c5: 130
c0: -1
m: 100000000000000000000000000000000
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [1750000, 3750001)
Primes: RFBsize:250150, AFBsize:250361, largePrimes:7677203 encountered
Relations: rels:7173676, finalFF:581835
Max relations in full relation-set: 48
Initial matrix: 500578 x 581835 with sparse part having weight 54017180.
Pruned matrix : 461516 x 464082 with weight 37017683.
Total sieving time: 53.03 hours.
Total relation processing time: 0.36 hours.
Matrix solve time: 7.72 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.3,2.3,100000
total time: 61.29 hours.
 --------- CPU info (if available) ----------
CPU: AMD Athlon(tm) XP 2400+ stepping 01
Memory: 901612k/917504k available (1069k kernel code, 15504k reserved, 459k data, 96k init, 0k highmem)
sisfb: Memory heap starting at 12288K, size 19960K
Calibrating delay loop... 4010.80 BogoMIPS

772524236610862487060961848534025324889524577294050832451318642418200528394692853574389419127735753449721834821125875633937845433469588781189106148455031750449<159>

20581230672475861430727158263255086663302501457153191742856250309416063163917<77>
37535376232092446430954426168419670162044288493908322073297750728833564783295676597<83>

Number: n
N=772524236610862487060961848534025324889524577294050832451318642418200528394692853574389419127735753449721834821125875633937845433469588781189106148455031750449
  ( 159 digits)
SNFS difficulty: 166 digits.
Divisors found:

Mon Oct 22 02:26:02 2007  prp77 factor: 20581230672475861430727158263255086663302501457153191742856250309416063163917
Mon Oct 22 02:26:02 2007  prp83 factor: 37535376232092446430954426168419670162044288493908322073297750728833564783295676597
Mon Oct 22 02:26:02 2007  elapsed time 02:07:00 (Msieve 1.28)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 54.52 hours.
Scaled time: 65.37 units (timescale=1.199).
Factorization parameters were as follows:
name: KA_4_3_165
n: 772524236610862487060961848534025324889524577294050832451318642418200528394692853574389419127735753449721834821125875633937845433469588781189106148455031750449
type: snfs
skew: 0.60
deg: 5
c5: 13
c0: -1
m: 1000000000000000000000000000000000
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 2300001)
Primes: RFBsize:250150, AFBsize:249271, largePrimes:7324010 encountered
Relations: rels:6828395, finalFF:550183
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 54.23 hours.
Total relation processing time: 0.29 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000
total time: 54.52 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD XP 2700+

6769951514832874024854036768853409897637506303253507175204255793012536446458911961588877677283372873422176238901148203977372816375917<133>

1938224840403052580372387224495153919668245331<46>
3492861805147986371594013038659339678087070803636098353203209518029135382931515883660607<88>

Number: 43333_168
N=6769951514832874024854036768853409897637506303253507175204255793012536446458911961588877677283372873422176238901148203977372816375917
  ( 133 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=1938224840403052580372387224495153919668245331
 r2=3492861805147986371594013038659339678087070803636098353203209518029135382931515883660607
Version: 
Total time: 34.46 hours.
Scaled time: 82.46 units (timescale=2.393).
Factorization parameters were as follows:
n: 6769951514832874024854036768853409897637506303253507175204255793012536446458911961588877677283372873422176238901148203977372816375917
m: 10000000000000000000000000000000000
deg: 5
c5: 13
c0: -100
skew: 1.50
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2700000, 5400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 11025872
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 947012 x 947259
Total sieving time: 30.92 hours.
Total relation processing time: 1.46 hours.
Matrix solve time: 1.87 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5400000,5400000,27,27,52,52,2.4,2.4,100000
total time: 34.46 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.. 5347.57 BogoMIPS (lpj=2673789)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672379)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)

Core 2 Quad Q6700

619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619<171>

41301678601887909281508978574307473779381336266973146191783297973077225039301321<80>
14988437274298150142827003772114850577864102899199141349041142889289160609017099225061284139<92>

Number: n
N=619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619
  ( 171 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=41301678601887909281508978574307473779381336266973146191783297973077225039301321 (pp80)
 r2=14988437274298150142827003772114850577864102899199141349041142889289160609017099225061284139 (pp92)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 136.44 hours.
Scaled time: 163.05 units (timescale=1.195).
Factorization parameters were as follows:
name: KA_4_3_171
n: 619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619
type: snfs
skew: 0.38
deg: 5
c5: 130
c0: -1
m: 10000000000000000000000000000000000
rlim: 5000000
alim: 5000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 4800000)
Primes: RFBsize:348513, AFBsize:349036, largePrimes:8355279 encountered
Relations: rels:7958858, finalFF:790913
Max relations in full relation-set: 28
Initial matrix: 697616 x 790913 with sparse part having weight 49108257.
Pruned matrix : 622652 x 626204 with weight 35955650.
Total sieving time: 124.32 hours.
Total relation processing time: 0.58 hours.
Matrix solve time: 11.17 hours.
Total square root time: 0.38 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,5000000,5000000,28,28,48,48,2.6,2.6,100000
total time: 136.44 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD XP 2700+

7051145106778934565140178907186086125062027703113835037169324956507858986665725935430266867888991349259234086068566083524491233167553860727853802772322587046481262447<166>

240819782207529405506697994710806508769897<42>
29279758673241069765202574894376872595002455320951765601594731211233664216965663106834937542898419595842050971037838578864151<125>

Number: 43333_173
N = 7051145106778934565140178907186086125062027703113835037169324956507858986665725935430266867888991349259234086068566083524491233167553860727853802772322587046481262447 (166 digits)
SNFS difficulty: 175 digits.
Divisors found:
r1=240819782207529405506697994710806508769897 (pp42)
r2=29279758673241069765202574894376872595002455320951765601594731211233664216965663106834937542898419595842050971037838578864151 (pp125)
Version: Msieve v. 1.43
Total time: 84.18 hours.
Factorization parameters were as follows:
n: 7051145106778934565140178907186086125062027703113835037169324956507858986665725935430266867888991349259234086068566083524491233167553860727853802772322587046481262447
m: 10000000000000000000000000000000000
deg: 5
c5: 13000
c0: -1
skew: 0.15
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Sieved rational special-q in [2800000, 6800000)
Relations: 1734888 relations
Pruned matrix : 1059110 x 1059335
Polynomial selection time: 0.00 hours.
Total sieving time: 80.28 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 3.02 hours.
time per square root: 0.72 hours.
(Note: the prototype def-par line and total time got cut off because, for whatever reason, factmsieve.py crashed right before they were written. No, I didn't make a boo-boo pasting the file into here. :-))

GGNFS + msieve v1.43 w/factmsieve.py

Core 2 Duo 2.2GHz, 32-bit Windows XP, Cygwin

9655008925300666479072306972266636848262635850840540068303547774876548188532073773702240844876209688611296722520058149285813497<127>

28651730387084497770902398579711<32>
336978213701637697571422651263830961732419798315444065386385634383590453793058262972127890968327<96>

GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 9655008925300666479072306972266636848262635850840540068303547774876548188532073773702240844876209688611296722520058149285813497 (127 digits)
Using B1=1234000, B2=1132804372, polynomial Dickson(6), sigma=457766070
Step 1 took 11225ms
Step 2 took 5737ms
********** Factor found in step 2: 28651730387084497770902398579711
Found probable prime factor of 32 digits: 28651730387084497770902398579711
Probable prime cofactor 336978213701637697571422651263830961732419798315444065386385634383590453793058262972127890968327 has 96 digits

661081976283797516802496260498273790646053494048948906262463151004253086662544415475890585989675083937462524656381603900982743417371<132>

301916958971971589504561757436446707950033582447022323<54>
2189615245644975351432654941655105750427346396611310074467443224749420723819577<79>

N = 661081976283797516802496260498273790646053494048948906262463151004253086662544415475890585989675083937462524656381603900982743417371 (132 digits)
SNFS difficulty: 178 digits.
Divisors found:
r1=301916958971971589504561757436446707950033582447022323 (pp54)
r2=2189615245644975351432654941655105750427346396611310074467443224749420723819577 (pp79)
Version: Msieve v. 1.48
Total time: 31.36 hours.
Factorization parameters were as follows:
name: (13*10^176-1)/3
n: 661081976283797516802496260498273790646053494048948906262463151004253086662544415475890585989675083937462524656381603900982743417371
Y0: 100000000000000000000000000000000000
Y1: -1
c0: -1
c1: 0
c2: 0
c3: 0
c4: 0
c5: 130
skew: 0.38
type: snfs
Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 20299054
Relations: 2399634 relations
Pruned matrix : 1365814 x 1366039
Polynomial selection time: 0.00 hours.
Total sieving time: 28.82 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 2.36 hours.
time per square root: 0.06 hours.
Prototype def-par.txt line would be: snfs,178,5,0,0,0,0,0,0,0,0,6500000,6500000,28,28,55,55,2.5,2.5,100000
total time: 31.36 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

497902625970869449339034468463231934934230513974071740397260608548723840256109222751909663490381671462232825512990023120876234145782697857348147731347471<153>

37948933910223347904734117981771706535143063810033087889054308859<65>
13120332369514489230479892073381613188737005117943986835435559658472044486487605690511869<89>

Number: 43333_177
N = 497902625970869449339034468463231934934230513974071740397260608548723840256109222751909663490381671462232825512990023120876234145782697857348147731347471 (153 digits)
SNFS difficulty: 179 digits.
Divisors found:
r1=37948933910223347904734117981771706535143063810033087889054308859 (pp65)
r2=13120332369514489230479892073381613188737005117943986835435559658472044486487605690511869 (pp89)
Version: Msieve v. 1.50 (SVN Official Release)
Total time: 72.26 hours.
Factorization parameters were as follows:
n: 497902625970869449339034468463231934934230513974071740397260608548723840256109222751909663490381671462232825512990023120876234145782697857348147731347471
m: 100000000000000000000000000000000000
deg: 5
c5: 1300
c0: -1
skew: 0.24
# Murphy_E = 1.217e-10
type: snfs
lss: 1
rlim: 6500000
alim: 6500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 18274603
Relations: 2611022 relations
Pruned matrix : 1493660 x 1493905
Polynomial selection time: 0.00 hours.
Total sieving time: 69.96 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 2.04 hours.
time per square root: 0.09 hours.
Prototype def-par.txt line would be: snfs,179,5,0,0,0,0,0,0,0,0,6500000,6500000,28,28,53,53,2.5,2.5,100000
total time: 72.26 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz

GGNFS, Msieve

5828537720576842444994606423444260130245242799969630851322225015996946207755285602357378602621520378914006027013094842854494267531413340600844599449407734231<157>

30596876409652676859964323360064231<35>

190494534230888361613096840269802685275516501676146994572654086816959201353183960960894699368794838808677967389767556570001<123>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1172182313
Step 1 took 7176ms
Step 2 took 4961ms
********** Factor found in step 2: 30596876409652676859964323360064231
Found probable prime factor of 35 digits: 30596876409652676859964323360064231
Composite cofactor 190494534230888361613096840269802685275516501676146994572654086816959201353183960960894699368794838808677967389767556570001 has 123 digits

 GMP-ECM 6.3

190494534230888361613096840269802685275516501676146994572654086816959201353183960960894699368794838808677967389767556570001<123>

85676388223966182147316541413292517970610234177<47>
2223419289488693571367819206892021961075100016176023178795662975325564204113<76>

Number: 43333_179
N = 190494534230888361613096840269802685275516501676146994572654086816959201353183960960894699368794838808677967389767556570001 (123 digits)
Divisors found:
r1=85676388223966182147316541413292517970610234177 (pp47)
r2=2223419289488693571367819206892021961075100016176023178795662975325564204113 (pp76)
Version: Msieve v. 1.45
Total time: 85.64 hours.
Factorization parameters were as follows:
# Murphy_E = 2.205e-10, selected by Erik Branger
n: 190494534230888361613096840269802685275516501676146994572654086816959201353183960960894699368794838808677967389767556570001
Y0: -424617612895219842866594
Y1: 16632313990991
c0: 1531042752202371345511261021785
c1: 66550083098464686253285387
c2: -630456628421350825935
c3: -6273158327832303
c4: 10879182130
c5: 13800
skew: 237138.63
type: gnfs
# selected mechanically
rlim: 6100000
alim: 6100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6100000/6100000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [3050000, 5350000)
Relations: 10291151
Relations in full relation-set: 1319238 relations
Pruned matrix : 786751 x 786977
Polynomial selection time: 0.00 hours.
Total sieving time: 82.00 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 1.93 hours.
time per square root: 1.52 hours.
Prototype def-par.txt line would be: gnfs,122,5,65,2000,1e-05,0.28,250,20,50000,3600,6100000,6100000,27,27,52,52,2.5,2.5,100000
total time: 85.64 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

644598170416147884232156642727850897197632111711060972269348573667516930626723271741266795569120862878688097620200276520876196131781282441619390923183079166525251<162>

128720283341589891316405136967029741262752374131744855111407<60>
5007743563658520736639579909273204563984908116713468247190634593518692076819003998917303938329367469293<103>

N=644598170416147884232156642727850897197632111711060972269348573667516930626723271741266795569120862878688097620200276520876196131781282441619390923183079166525251
  ( 162 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=128720283341589891316405136967029741262752374131744855111407 (pp60)
 r2=5007743563658520736639579909273204563984908116713468247190634593518692076819003998917303938329367469293 (pp103)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 78.12 hours.
Scaled time: 150.22 units (timescale=1.923).
Factorization parameters were as follows:
n: 644598170416147884232156642727850897197632111711060972269348573667516930626723271741266795569120862878688097620200276520876196131781282441619390923183079166525251
m: 1000000000000000000000000000000000000
deg: 5
c5: 13
c0: -1
skew: 0.60
# Murphy_E = 1.335e-10
type: snfs
lss: 1
rlim: 7300000
alim: 7300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7300000/7300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3650000, 7650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1348371 x 1348601
Total sieving time: 75.94 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 1.77 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
snfs,181.000,5,0,0,0,0,0,0,0,0,7300000,7300000,28,28,53,53,2.5,2.5,100000
total time: 78.12 hours.
 --------- CPU info (if available) ----------

210627402949467736867712317109794115392697196846091944182098719832281979044625843244413282800311083962571876090747212305942803423402776949828519815006857<153>

1566646478490955283763153539662407183352713854454586494751<58>
134444755623713452550846794396266986044888585201220229701392975314762648670421433632243138443607<96>

N=210627402949467736867712317109794115392697196846091944182098719832281979044625843244413282800311083962571876090747212305942803423402776949828519815006857
  ( 153 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=1566646478490955283763153539662407183352713854454586494751 (pp58)
 r2=134444755623713452550846794396266986044888585201220229701392975314762648670421433632243138443607 (pp96)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 101.45 hours.
Scaled time: 195.19 units (timescale=1.924).
Factorization parameters were as follows:
n: 210627402949467736867712317109794115392697196846091944182098719832281979044625843244413282800311083962571876090747212305942803423402776949828519815006857
m: 1000000000000000000000000000000000000
deg: 5
c5: 130
c0: -1
skew: 0.38
# Murphy_E = 1.028e-10
type: snfs
lss: 1
rlim: 7600000
alim: 7600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7600000/7600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3800000, 9000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1395563 x 1395789
Total sieving time: 99.28 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 1.89 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,182.000,5,0,0,0,0,0,0,0,0,7600000,7600000,28,28,53,53,2.5,2.5,100000
total time: 101.45 hours.
 --------- CPU info (if available) ----------

2040027089786222426178784764621816594217300592789012738061344144962402879670587486947584892430087129877297834845721549252981267129530630087<139>

331009415328497276806810539757561649966638941648795833118888193<63>
6163048527673080743065736099478326001850837199123400815625953822009093621959<76>

N=2040027089786222426178784764621816594217300592789012738061344144962402879670587486947584892430087129877297834845721549252981267129530630087
  ( 139 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=331009415328497276806810539757561649966638941648795833118888193 (pp63)
 r2=6163048527673080743065736099478326001850837199123400815625953822009093621959 (pp76)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 145.71 hours.
Scaled time: 280.21 units (timescale=1.923).
Factorization parameters were as follows:
n: 2040027089786222426178784764621816594217300592789012738061344144962402879670587486947584892430087129877297834845721549252981267129530630087
m: 1000000000000000000000000000000000000
deg: 5
c5: 1300
c0: -1
skew: 0.24
# Murphy_E = 7.649e-11
type: snfs
lss: 1
rlim: 7900000
alim: 7900000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7900000/7900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3950000, 11550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1584654 x 1584881
Total sieving time: 143.00 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 2.41 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,183.000,5,0,0,0,0,0,0,0,0,7900000,7900000,28,28,53,53,2.5,2.5,100000
total time: 145.71 hours.
 --------- CPU info (if available) ----------

12143661717763377507062118137467995482720653784646642135900655265609763425303502913390052454908099135585920176299190136182755770115690432695449990223<149>

8416164316255535025468758314735922981667142590729628026801778643343257<70>
1442897412816466531536913125348654004317979163207103051743039845206812684057639<79>

N=12143661717763377507062118137467995482720653784646642135900655265609763425303502913390052454908099135585920176299190136182755770115690432695449990223
  ( 149 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=8416164316255535025468758314735922981667142590729628026801778643343257 (pp70)
 r2=1442897412816466531536913125348654004317979163207103051743039845206812684057639 (pp79)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 153.96 hours.
Scaled time: 101.31 units (timescale=0.658).
Factorization parameters were as follows:
n: 12143661717763377507062118137467995482720653784646642135900655265609763425303502913390052454908099135585920176299190136182755770115690432695449990223
m: 5000000000000000000000000000000000000
deg: 5
c5: 208
c0: -5
skew: 0.47
# Murphy_E = 6.494e-11
type: snfs
lss: 1
rlim: 8700000
alim: 8700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 8700000/8700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4350000, 11950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1663915 x 1664149
Total sieving time: 150.15 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 2.66 hours.
Time per square root: 0.93 hours.
Prototype def-par.txt line would be:
snfs,185.000,5,0,0,0,0,0,0,0,0,8700000,8700000,28,28,54,54,2.5,2.5,100000
total time: 153.96 hours.
 --------- CPU info (if available) ----------

242169870740228868083637611916108991515998488132029046765458858865389527437797551119018539368445359479950398905596152386650021888168056572372036336811933022162113466369658187993<177>

6972738095249923491574691801325555613<37>

34730957542375436934995730071642019237964854277534788653224535094515980193584141727908981935668302576545122707298205186927877223447743121261<140>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=426162317
Step 1 took 105145ms
Step 2 took 62618ms
********** Factor found in step 2: 6972738095249923491574691801325555613
Found probable prime factor of 37 digits: 6972738095249923491574691801325555613
Composite cofactor 34730957542375436934995730071642019237964854277534788653224535094515980193584141727908981935668302576545122707298205186927877223447743121261 has 140 digits

GMP-ECM 6.2.3

34730957542375436934995730071642019237964854277534788653224535094515980193584141727908981935668302576545122707298205186927877223447743121261<140>

7400319707831086157173020135074971810881006259101877809718081207<64>
4693169878271991312483236492791233829608641513356460453099152145417720950523<76>

N=34730957542375436934995730071642019237964854277534788653224535094515980193584141727908981935668302576545122707298205186927877223447743121261
  ( 140 digits)
SNFS difficulty: 188 digits.
Divisors found:
 r1=7400319707831086157173020135074971810881006259101877809718081207 (pp64)
 r2=4693169878271991312483236492791233829608641513356460453099152145417720950523 (pp76)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 220.25 hours.
Scaled time: 423.76 units (timescale=1.924).
Factorization parameters were as follows:
n: 34730957542375436934995730071642019237964854277534788653224535094515980193584141727908981935668302576545122707298205186927877223447743121261
m: 10000000000000000000000000000000000000
deg: 5
c5: 1300
c0: -1
skew: 0.24
# Murphy_E = 4.787e-11
type: snfs
lss: 1
rlim: 9600000
alim: 9600000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 9600000/9600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4800000, 15600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2188074 x 2188322
Total sieving time: 215.15 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 4.58 hours.
Time per square root: 0.28 hours.
Prototype def-par.txt line would be:
snfs,188.000,5,0,0,0,0,0,0,0,0,9600000,9600000,28,28,54,54,2.5,2.5,100000
total time: 220.25 hours.
 --------- CPU info (if available) ----------

3792141728481167216461516544919112590977761675038996273247124337420238157567552539893225177762848319654397369462342787992112977081751105549690990136147092592659065158391276149517<178>

15572638355518735233949431378415573822661<41>

243513118452229566464586639126073831727270072594123117372982480201599602888889451138758362119565949168014026223806979558408008962888067497<138>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1990667418
Step 1 took 30296ms
Step 2 took 19968ms
********** Factor found in step 2: 15572638355518735233949431378415573822661
Found probable prime factor of 41 digits: 15572638355518735233949431378415573822661
Composite cofactor 243513118452229566464586639126073831727270072594123117372982480201599602888889451138758362119565949168014026223806979558408008962888067497 has 138 digits

GMP-ECM 6.2.3

243513118452229566464586639126073831727270072594123117372982480201599602888889451138758362119565949168014026223806979558408008962888067497<138>

3482921617988534979142500756486900724906793177550877387<55>
69916336099709252405073714470766286361065091774176355689000579823409200144312525531<83>

N=243513118452229566464586639126073831727270072594123117372982480201599602888889451138758362119565949168014026223806979558408008962888067497
  ( 138 digits)
SNFS difficulty: 190 digits.
Divisors found:
 r1=3482921617988534979142500756486900724906793177550877387 (pp55)
 r2=69916336099709252405073714470766286361065091774176355689000579823409200144312525531 (pp83)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 249.33 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 243513118452229566464586639126073831727270072594123117372982480201599602888889451138758362119565949168014026223806979558408008962888067497
m: 50000000000000000000000000000000000000
deg: 5
c5: 208
c0: -5
skew: 0.47
# Murphy_E = 4.055e-11
type: snfs
lss: 1
rlim: 10600000
alim: 10600000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 800000
Factor base limits: 10600000/10600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5300000, 16500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2002112 x 2002341
Total sieving time: 244.73 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 3.88 hours.
Time per square root: 0.46 hours.
Prototype def-par.txt line would be:
snfs,190.000,5,0,0,0,0,0,0,0,0,10600000,10600000,28,28,54,54,2.5,2.5,100000
total time: 249.33 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).

979768084237686341427025126835042332880338711169990014775384141754487482708879674297990154140752633041822746156567383327838548383521206317631889<144>

84596272173759843389805866795269751627238726136945711829<56>
11581693366171657256152900324006419815500813687879665675838730891848638192637327827016141<89>

N=979768084237686341427025126835042332880338711169990014775384141754487482708879674297990154140752633041822746156567383327838548383521206317631889
  ( 144 digits)
SNFS difficulty: 191 digits.
Divisors found:
 r1=84596272173759843389805866795269751627238726136945711829 (pp56)
 r2=11581693366171657256152900324006419815500813687879665675838730891848638192637327827016141 (pp89)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 198.31 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 979768084237686341427025126835042332880338711169990014775384141754487482708879674297990154140752633041822746156567383327838548383521206317631889
m: 100000000000000000000000000000000000000
deg: 5
c5: 13
c0: -1
skew: 0.60
# Murphy_E = 5.216e-11
type: snfs
lss: 1
rlim: 10700000
alim: 10700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 800000
Factor base limits: 10700000/10700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5350000, 14150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2011365 x 2011591
Total sieving time: 193.95 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 3.90 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
snfs,191.000,5,0,0,0,0,0,0,0,0,10700000,10700000,28,28,54,54,2.5,2.5,100000
total time: 198.31 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).

2156858339348898345671884524922332945601380243599924426935667941620306701410011082105718876389114472075658540959871136434568081491392031708424400600178749900333027870261969205004110641<184>

453354899999051385638164148236283<33>

4757549415156671793718885360940066592028321069345124332444285713214129510247713968209634548850809460784818990083255411472660105494008435800994319257027<151>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1455303559
Step 1 took 28365ms
Step 2 took 18987ms
********** Factor found in step 2: 453354899999051385638164148236283
Found probable prime factor of 33 digits: 453354899999051385638164148236283
Composite cofactor 4757549415156671793718885360940066592028321069345124332444285713214129510247713968209634548850809460784818990083255411472660105494008435800994319257027 has 151 digits

GMP-ECM 6.2.1

4757549415156671793718885360940066592028321069345124332444285713214129510247713968209634548850809460784818990083255411472660105494008435800994319257027<151>

173809246606431208931242277351198014118066847525100007<54>
27372245769694482769000550739474996456825486110294150270097928146882771234820331897876527272593861<98>

N=4757549415156671793718885360940066592028321069345124332444285713214129510247713968209634548850809460784818990083255411472660105494008435800994319257027
  ( 151 digits)
SNFS difficulty: 193 digits.
Divisors found:
 r1=173809246606431208931242277351198014118066847525100007 (pp54)
 r2=27372245769694482769000550739474996456825486110294150270097928146882771234820331897876527272593861 (pp98)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 381.50 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 4757549415156671793718885360940066592028321069345124332444285713214129510247713968209634548850809460784818990083255411472660105494008435800994319257027
m: 100000000000000000000000000000000000000
deg: 5
c5: 1300
c0: -1
skew: 0.24
# Murphy_E = 2.983e-11
type: snfs
lss: 1
rlim: 11600000
alim: 11600000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 800000
Factor base limits: 11600000/11600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [5800000, 22600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2447723 x 2447948
Total sieving time: 373.92 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 6.00 hours.
Time per square root: 1.28 hours.
Prototype def-par.txt line would be:
snfs,193.000,5,0,0,0,0,0,0,0,0,11600000,11600000,28,28,55,55,2.5,2.5,100000
total time: 381.50 hours.
 --------- CPU info (if available) ----------

159887788871561288805734644551183337219331776179555031355104745818387702036092410591484866218664740897830616423070326361465293849410474582879581633367534445715442079831636741913<177>

1179454721985069238526884189<28>

135560768795315666479420567155372787318773966104575598566882947784980396196359198484042923902019314266173918223948245743345587089475901721819107886317<150>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3284095331
Step 1 took 28060ms
Step 2 took 18525ms
********** Factor found in step 2: 1179454721985069238526884189
Found probable prime factor of 28 digits: 1179454721985069238526884189
Composite cofactor 135560768795315666479420567155372787318773966104575598566882947784980396196359198484042923902019314266173918223948245743345587089475901721819107886317 has 150 digits

GMP-ECM 6.2.1

135560768795315666479420567155372787318773966104575598566882947784980396196359198484042923902019314266173918223948245743345587089475901721819107886317<150>

6263728553252244836916294402557<31>
21642184466140376372125113685298828894214520289802826743269137713230151022473669357798404971009099975398103062463285681<119>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=704465730
Step 1 took 5819ms
Step 2 took 4555ms
********** Factor found in step 2: 6263728553252244836916294402557
Found probable prime factor of 31 digits: 6263728553252244836916294402557
Probable prime cofactor 21642184466140376372125113685298828894214520289802826743269137713230151022473669357798404971009099975398103062463285681 has 119 digits

GMP-ECM 6.3

17510560952549755008743199673418615188851096604511285390325536941407680040938042248964700586456148081747198773817682577101323203028375696195178401061777525677306207784765637<173>

50721990568355277470482113372103633<35>

345226217590015934317337715788870617571127798641177706548568099691306232669166355972305543600232990111401990363472703774267430791805163189<138>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3771117799
Step 1 took 22744ms
Step 2 took 15913ms
********** Factor found in step 2: 50721990568355277470482113372103633
Found probable prime factor of 35 digits: 50721990568355277470482113372103633
Composite cofactor 345226217590015934317337715788870617571127798641177706548568099691306232669166355972305543600232990111401990363472703774267430791805163189 has 138 digits

GMP-ECM 6.2.3

345226217590015934317337715788870617571127798641177706548568099691306232669166355972305543600232990111401990363472703774267430791805163189<138>

958620065877913946233615261861978146638560496010022817<54>
360128303045538979658446127601363147588956870761533820604978214627181025452458720917<84>

N = 345226217590015934317337715788870617571127798641177706548568099691306232669166355972305543600232990111401990363472703774267430791805163189 (138 digits)
Divisors found:
r1=958620065877913946233615261861978146638560496010022817 (pp54)
r2=360128303045538979658446127601363147588956870761533820604978214627181025452458720917 (pp84)
Version: Msieve v. 1.52 (SVN exported)
Total time: 36.87 hours.
Factorization parameters were as follows:
n: 345226217590015934317337715788870617571127798641177706548568099691306232669166355972305543600232990111401990363472703774267430791805163189
skew: 357285.91
c0: 25860090703797820484642292060600
c1: 2154522288676293173451344794
c2: -2394346880349641295049
c3: -74879893097608964
c4: 21060075606
c5: 95472
Y0: -324822081553647367340260291
Y1: 81257092819231
rlim: 13000000
alim: 13000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
type: gnfs
qintsize: 800000
Factor base limits: 13000000/13000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23793460
Relations: 3706480 relations
Pruned matrix : 2250798 x 2251022
Polynomial selection time: 0.00 hours.
Total sieving time: 33.16 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 3.13 hours.
time per square root: 0.33 hours.
Prototype def-par.txt line would be: gnfs,137,5,65,2000,1e-05,0.28,250,20,50000,3600,13000000,13000000,28,28,56,56,2.6,2.6,800000
total time: 36.87 hours.

619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619<195>

4108959678924632386368511921044689765845824495413027737<55>
150657993122393397191374958950288699170836432534995369715829292300612307048500313165210751477061418430213152010301608423612711599020092518587<141>

Number: 43333_195
N=619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619
  ( 195 digits)
SNFS difficulty: 196 digits.
Divisors found:
 r1=4108959678924632386368511921044689765845824495413027737
 r2=150657993122393397191374958950288699170836432534995369715829292300612307048500313165210751477061418430213152010301608423612711599020092518587
Version: 
Total time: 441.44 hours.
Scaled time: 1473.97 units (timescale=3.339).
Factorization parameters were as follows:
name: 43333_195
n: 619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619
m: 1000000000000000000000000000000000000000
deg: 5
c5: 13
c0: -1
skew: 0.60
type: snfs
rlim: 9500000
alim: 9500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 9500000/9500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved algebraic special-q in [4750000, 12750001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1926738 x 1926986
Total sieving time: 441.44 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,196,5,0,0,0,0,0,0,0,0,9500000,9500000,28,28,55,55,2.5,2.5,100000
total time: 441.44 hours.
 --------- CPU info (if available) ----------

983878492459294127576663301272441729171899670398434537307715044600309466113699708038598340361972076060134562639558906988796961589466905646211507371705820603213330506120643771072454121499927<189>

3384250757069025326880670918023684457541683477656625356674750708601588421765012096639501<88>
290722692579492831798378174102480125414090593236887754273162282997755376677935527424456527445202933427<102>

Number: n
N=983878492459294127576663301272441729171899670398434537307715044600309466113699708038598340361972076060134562639558906988796961589466905646211507371705820603213330506120643771072454121499927
  ( 189 digits)
SNFS difficulty: 197 digits.
Divisors found:

Wed Nov 17 22:52:25 2010  prp88 factor: 3384250757069025326880670918023684457541683477656625356674750708601588421765012096639501
Wed Nov 17 22:52:25 2010  prp102 factor: 290722692579492831798378174102480125414090593236887754273162282997755376677935527424456527445202933427
Wed Nov 17 22:52:25 2010  elapsed time 03:54:19 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.084).
Factorization parameters were as follows:
name: KA_4_3_196
n: 983878492459294127576663301272441729171899670398434537307715044600309466113699708038598340361972076060134562639558906988796961589466905646211507371705820603213330506120643771072454121499927
m: 1000000000000000000000000000000000000000
deg: 5
c5: 130
c0: -1
skew: 0.38
type: snfs
lss: 1
rlim: 13500000
alim: 13500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 13500000/13500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 24450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 6713176 hash collisions in 47352748 relations
Msieve: matrix is 1557414 x 1557643 (429.9 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13500000,13500000,28,28,56,56,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5660.32 BogoMIPS (lpj=2830164)
Calibrating delay using timer specific routine.. 5660.90 BogoMIPS (lpj=2830451)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830461)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830458)
Total of 4 processors activated (22643.06 BogoMIPS).

249206836913338582402714107074746799571734044325296092711534363744295257205810248398133741818941193014129918977889302449676199063062222089191219936686253000529225700233<168>

55152545672350030562185432093149235287084289429931441847116873<62>
4518501075069595546033348240049462948181187207154077505624926620647246971580322806536437588748252129408321<106>

Number: 43333_198
N=249206836913338582402714107074746799571734044325296092711534363744295257205810248398133741818941193014129918977889302449676199063062222089191219936686253000529225700233
  ( 168 digits)
SNFS difficulty: 199 digits.
Divisors found:
 r1=55152545672350030562185432093149235287084289429931441847116873
 r2=4518501075069595546033348240049462948181187207154077505624926620647246971580322806536437588748252129408321
Version: 
Total time: 226.34 hours.
Scaled time: 1187.83 units (timescale=5.248).
Factorization parameters were as follows:
n: 249206836913338582402714107074746799571734044325296092711534363744295257205810248398133741818941193014129918977889302449676199063062222089191219936686253000529225700233
m: 2000000000000000000000000000000000000000
deg: 5
c5: 1625
c0: -4
skew: 0.30
# Murphy_E = 1.64e-11
type: snfs
lss: 1
rlim: 16000000
alim: 16000000
lpbr: 29
lpba: 29
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 55/55
Sieved rational special-q in [8000000, 16700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 35401693
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2972295 x 2972543
Total sieving time: 206.40 hours.
Total relation processing time: 3.21 hours.
Matrix solve time: 16.22 hours.
Time per square root: 0.52 hours.
Prototype def-par.txt line would be:
snfs,199,5,0,0,0,0,0,0,0,0,16000000,16000000,29,29,55,55,2.5,2.5,100000
total time: 226.34 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49367704k/51380224k available (5488k kernel code, 1086464k absent, 926056k reserved, 6940k data, 1328k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.37 BogoMIPS (lpj=3400188)
Total of 12 processors activated (81604.51 BogoMIPS).

Core i7-4930K

3791155635138610418837452027518602213272353667080023976178549045043187064471272646774709201500369369227292376876693031010871735701209963225726653509614719120478770309549816969609579<181>

75531343358015078390828426891748226820848079044111299342399229748382750630047<77>
50193144548862421769652494615454385338201541603486540732038466158451691605341807288921704153386344312757<104>

N=3791155635138610418837452027518602213272353667080023976178549045043187064471272646774709201500369369227292376876693031010871735701209963225726653509614719120478770309549816969609579
  ( 181 digits)
SNFS difficulty: 201 digits.
Divisors found:
 r1=75531343358015078390828426891748226820848079044111299342399229748382750630047 (pp77)
 r2=50193144548862421769652494615454385338201541603486540732038466158451691605341807288921704153386344312757 (pp104)
Version: Msieve v. 1.48
Total time:
Scaled time: 93.32 units (timescale=0.935).
Factorization parameters were as follows:
n: 3791155635138610418837452027518602213272353667080023976178549045043187064471272646774709201500369369227292376876693031010871735701209963225726653509614719120478770309549816969609579
m: 10000000000000000000000000000000000000000
deg: 5
c5: 13
c0: -1
skew: 0.60
type: snfs
lss: 1
rlim: 15700000
alim: 15700000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 320000
Factor base limits: 15700000/15700000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [7850000, 14890001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2778899 x 2779127
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,201.000,5,0,0,0,0,0,0,0,0,15700000,15700000,29,29,56,56,2.6,2.6,100000
total time:

10327915031084151338900653859956467746711724705360168980336520444654741784005137141951621527432406600085299460280782792812148366166243687995295909724023193<155>

14602879951665037043111412702523066755325333574576007799367<59>
707251930117151355232743160020109014007197045404313164961084866642363273357506257769062716859679<96>

***factors found***

C50 = 12587245306408521173511845858369734861467363353943
P96 = 7072519301171513552327431600201090140071970454043131649610848666423632733575062577690
62716859679
P59 = 14602879951665037043111412702523066755325333574576007799367

ans = 1

yafu

1971992778090887536791957728935701307154870151790776131391795205177830956909748076993577305389508163885783905321616295261618591422679810810943270036055419215739838694150281661895495476769<187>

2391425826537807558468877319676053864090127367266915217737166180638328603576525835167597<88>
824609635058531078300405202357533042986183213555034464127964484651053049002412669158919563105289477<99>

Number: n
N=1971992778090887536791957728935701307154870151790776131391795205177830956909748076993577305389508163885783905321616295261618591422679810810943270036055419215739838694150281661895495476769  ( 187 digits)
SNFS difficulty: 204 digits.
Divisors found:

Sat Sep  4 03:04:46 2021  p88 factor: 2391425826537807558468877319676053864090127367266915217737166180638328603576525835167597
Sat Sep  4 03:04:46 2021  p99 factor: 824609635058531078300405202357533042986183213555034464127964484651053049002412669158919563105289477
Sat Sep  4 03:04:46 2021  elapsed time 01:50:54 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 13x10^203-1 = 43(203)
#
n: 1971992778090887536791957728935701307154870151790776131391795205177830956909748076993577305389508163885783905321616295261618591422679810810943270036055419215739838694150281661895495476769
m: 10000000000000000000000000000000000000000
deg: 5
c5: 13000
c0: -1
skew: 0.15
# Murphy_E = 8.987e-12
type: snfs
lss: 1
rlim: 17700000
alim: 17700000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17700000/17700000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 36050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9832328 hash collisions in 64607369 relations (57190264 unique)
Msieve: matrix is 2161274 x 2161503 (747.1 MB)

Sieving start time : 2021/09/03 11:19:20
Sieving end time  : 2021/09/04 01:10:41

Total sieving time: 13hrs 51min 21secs.

Total relation processing time: 1hrs 31min 43sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 9sec.

Prototype def-par.txt line would be:
snfs,204,5,0,0,0,0,0,0,0,0,17700000,17700000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116939] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239968K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2736K init, 4964K bss, 487268K reserved, 0K cma-reserved)
[    0.154077] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.20 BogoMIPS (lpj=12798404)
[    0.152034] smpboot: Total of 16 processors activated (102387.23 BogoMIPS)

17231712463995572802737230557420348075862253811859637811286172538844503003571491038579584022783971131442539843147595798142784901808376685530581040434418995416763<161>

258420983731490330952830726353889171317<39>
66680778840699742328436478681959043949746246086119409318843244866372502244467263722435561470820278833181853802656787216239<122>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3496345338
Step 1 took 65846ms
Step 2 took 23113ms
********** Factor found in step 2: 258420983731490330952830726353889171317
Found probable prime factor of 39 digits: 258420983731490330952830726353889171317

7560771908891081735206990682737022587163043617046643767824431257976422914491033659679163899696219603550426688127767914503808711904637503305030580382129434168220166342895439<172>

1771470595245944504492669818610277453556741<43>
4268076438401943550424773310374659741830487645528483145260665631986917769043176175278778673307877250184483249276348484774914406979<130>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1101749750
Step 1 took 76419ms
Step 2 took 28481ms
********** Factor found in step 2: 1771470595245944504492669818610277453556741
Found probable prime factor of 43 digits: 1771470595245944504492669818610277453556741

46688541487414976835791084730080979123499890588078654769988831078788976369020345605075871144408818700167869096330277765420228549119784568851860154730969928156482782819541089341554057413225855247<194>

92646040707084162779036546906608715279<38>

503945350832946560432471998947456357852931045542576639879592973807917727373423377863438350069116550306406398243187052013002832930310629531965255915835841793<156>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=498742305
Step 1 took 112428ms
Step 2 took 34485ms
********** Factor found in step 2: 92646040707084162779036546906608715279
Found probable prime factor of 38 digits: 92646040707084162779036546906608715279

503945350832946560432471998947456357852931045542576639879592973807917727373423377863438350069116550306406398243187052013002832930310629531965255915835841793<156>

94308749474964030375541852938024579805694032917906231673960103<62>
5343569431664747101856267236124796333408317032192866755562216326565444417708595361579947486231<94>

***factors found***

C52 = 2579644792538107044579032088107920967385623126105343
P94 = 5343569431664747101856267236124796333408317032192866755562216326565444417708595361579947486231
P62 = 94308749474964030375541852938024579805694032917906231673960103

ans = 1

yafu

ubuntu

3602671013572595188098738133510150621622857215513998364212071277511629300212133723574762116838104385898812194836806707713906946036201167205818665114357447310561<160>

1560911408255686631951478482160107<34>

2308056046306028478499981629433204047447989036465719669817087200987299793264084362958056235636967918113167250901881453263828323<127>

GMP-ECM 6.4.4 [configured with GMP 5.1.1] [ECM]
Input number is 3602671013572595188098738133510150621622857215513998364212071277511629300212133723574762116838104385898812194836806707713906946036201167205818665114357447310561 (160 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1399148249
Step 1 took 13681ms
Step 2 took 4789ms
********** Factor found in step 2: 1560911408255686631951478482160107
Found probable prime factor of 34 digits: 1560911408255686631951478482160107
Composite cofactor 2308056046306028478499981629433204047447989036465719669817087200987299793264084362958056235636967918113167250901881453263828323 has 127 digits

2308056046306028478499981629433204047447989036465719669817087200987299793264084362958056235636967918113167250901881453263828323<127>

88076489577718691414859047624978377665255756305483809761809<59>
26205132122907781213897059377899974543012489878912021561840313373747<68>

08/20/13 11:59:16 v1.34.5 @ W7I7B, Starting factorization of 2308056046306028478499981629433204047447989036465719669817087200987299793264084362958056235636967918113167250901881453263828323
08/20/13 11:59:16 v1.34.5 @ W7I7B, using pretesting plan: normal
08/20/13 11:59:16 v1.34.5 @ W7I7B, no tune info: using qs/gnfs crossover of 95 digits
08/20/13 11:59:16 v1.34.5 @ W7I7B, ****************************
08/20/13 11:59:16 v1.34.5 @ W7I7B, nfs: previous data file found - commencing search for last special-q
08/20/13 11:59:36 v1.34.5 @ W7I7B, nfs: parsing special-q from .dat file
08/20/13 11:59:36 v1.34.5 @ W7I7B, nfs: commencing nfs on c127: 2308056046306028478499981629433204047447989036465719669817087200987299793264084362958056235636967918113167250901881453263828323
08/20/13 11:59:36 v1.34.5 @ W7I7B, nfs: resuming with filtering
08/20/13 11:59:36 v1.34.5 @ W7I7B, nfs: commencing msieve filtering
08/20/13 12:01:28 v1.34.5 @ W7I7B, nfs: raising min_rels by 5.00 percent to 11075822
08/20/13 12:01:28 v1.34.5 @ W7I7B, nfs: commencing lattice sieving with 8 threads
08/20/13 12:09:35 v1.34.5 @ W7I7B, nfs: commencing lattice sieving with 8 threads
08/20/13 12:17:31 v1.34.5 @ W7I7B, nfs: commencing lattice sieving with 8 threads
08/20/13 12:25:16 v1.34.5 @ W7I7B, nfs: commencing msieve filtering
08/20/13 12:27:09 v1.34.5 @ W7I7B, nfs: raising min_rels by 5.00 percent to 11721983
08/20/13 12:27:09 v1.34.5 @ W7I7B, nfs: commencing lattice sieving with 8 threads
08/20/13 12:34:55 v1.34.5 @ W7I7B, nfs: commencing lattice sieving with 8 threads
08/20/13 12:43:07 v1.34.5 @ W7I7B, nfs: commencing lattice sieving with 8 threads
08/20/13 12:51:10 v1.34.5 @ W7I7B, nfs: commencing msieve filtering
08/20/13 12:53:44 v1.34.5 @ W7I7B, nfs: commencing msieve linear algebra
08/20/13 13:18:43 v1.34.5 @ W7I7B, nfs: commencing msieve sqrt
08/20/13 13:24:06 v1.34.5 @ W7I7B, prp68 = 26205132122907781213897059377899974543012489878912021561840313373747
08/20/13 13:24:06 v1.34.5 @ W7I7B, prp59 = 88076489577718691414859047624978377665255756305483809761809
08/20/13 13:24:06 v1.34.5 @ W7I7B, NFS elapsed time = 5090.4039 seconds.
08/20/13 13:24:06 v1.34.5 @ W7I7B, 
08/20/13 13:24:06 v1.34.5 @ W7I7B, 
08/20/13 13:24:06 v1.34.5 @ W7I7B, Total factoring time = 5090.4249 seconds

YAFU/ggnfs

Windows 7 Ultimate 64 bit

222124930923278433238252160972972409475192416385314703625388475396030852485114961452651904315551048824900086306537873589065534369175188443994801687668563790731873966071445063216193428537791903<192>

521624218243008231736457771785711656730705571<45>
425833240012252365491718975781049348711351641642535358102654052967986632800157881875289157467478834137601291804969420624403003259616053090976327893<147>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=891124464
Step 1 took 328878ms
Step 2 took 86533ms
********** Factor found in step 2: 521624218243008231736457771785711656730705571
Found probable prime factor of 45 digits: 521624218243008231736457771785711656730705571

10231522556169703641060633287064929111244385369703130578286116761094055827430831029601357958433134421637149882364540254978202950236558483380466264722662890523065923606908681<173>

5865088056720825796174575780018360047950652477327349726815565497<64>
1744478933175668969895599999415029106677255014096058506300137007257479545379276948712589287856430095004824273<109>

Number: 43333_210
N=10231522556169703641060633287064929111244385369703130578286116761094055827430831029601357958433134421637149882364540254978202950236558483380466264722662890523065923606908681
  ( 173 digits)
SNFS difficulty: 211 digits.
Divisors found (Total dependency: 1):
 r1=5865088056720825796174575780018360047950652477327349726815565497 (pp64)
 r2=1744478933175668969895599999415029106677255014096058506300137007257479545379276948712589287856430095004824273 (pp109)
Msieve version (polynomial selection): (N/A)
Msieve version (other): Msieve v. 1.49 (SVN unknown)
GGNFS version (latsieve): GGNFS-0.77.1-VC8(UTE)
Total time: 1582.55 hours (24.86 calendar hours).
Scaled time: 9049.00 units (timescale=5.718).
Factorization parameters were as follows:
Number: 43333_210
n: 10231522556169703641060633287064929111244385369703130578286116761094055827430831029601357958433134421637149882364540254978202950236558483380466264722662890523065923606908681
m: 1000000000000000000000000000000000000000000
deg: 5
c5: 13
c0: -1
skew: 0.60
# Murphy_E = 6.705e-12 (msieve ver 1.49: 7.571e-12)
type: snfs
lss: 1
rlim: 24800000
alim: 24800000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
q0: 10000000
qintsize: 5000
#relslim: 62500000
relslim: 10416667

Polynomial score was as follows:
skew 0.60, size 2.349e-014, alpha 0.836, combined = 7.571e-012 rroots = 1
Factor base limits: 24800000/24800000
Large primes per side: 3
Large prime bits: 29/29
Sieved special-q in [10000000, 31435001)
Relations: raw-rels:63445241, rels:55904159, finalFF:2711659
Pruned matrix : 2710867 x 2711090
Total polynomial selection time: (N/A)
Total sieving time: 1548.21 hours (21.69 calendar hours).
Total relation processing time: 0.23 hours.
Total matrix build processing time: 0.05 hours.
Matrix pruned processing time: (N/A)
Matrix solve time: 34.00 hours (2.83 calendar hours).
Total time of square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,211,5,0,0,0,0,0,0,0,0,24800000,24800000,29,29,57,57,2.6,2.6,100000
total time: 1582.55 hours (24.86 calendar hours).
 --------- CPU info (if available) ----------

Msieve v. 1.49 (SVN unknown) + GGNFS-0.77.1-VC8 with 
factMsieve.pl (decomposed + modified) snfs
(without procrels.exe, matbuild.exe for "finalFF" calculation)

[Envilonment]
  Intel Core i7 8700, 32GB RAM, Windows10 Home

[Threads used]
  (Sieving)
    12 threads used x 6
  (Relation processing and Matrix build processing)
    1 thread used x 1
  (Matrix solve)
    12 threads used x 1
  (Square root processing)
    1 thread used x 1

1007751937984496124031007751937984496124031007751937984496124031007751937984496124031007751937984496124031007751937984496124031007751937984496124031007751937984496124031007751937984496124031007751937984496124031<211>

129711573066164500026459702861749460585701<42>
7769175210530000515900963326164902691831357284634900120946985564750326888534785214770369540826809061555386920891323816611058823346804996057849717822964259904756047357331<169>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2192069944
Step 1 took 132961ms
********** Factor found in step 1: 129711573066164500026459702861749460585701
Found probable prime factor of 42 digits: 129711573066164500026459702861749460585701

619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619<213>

333572813708863153534552308435758711<36>

1855809567226643333895368959813722878442217875687187236104089638303002402773042456662133097877536247918004231691118274629680438964168405422518663942603262693625518217876659595029<178>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:3466822830
Step 1 took 4375ms
Step 2 took 3625ms
********** Factor found in step 2: 333572813708863153534552308435758711
Found probable prime factor of 36 digits: 333572813708863153534552308435758711
Composite cofactor 1855809567226643333895368959813722878442217875687187236104089638303002402773042456662133097877536247918004231691118274629680438964168405422518663942603262693625518217876659595029 has 178 digits

GMP-ECM 7.0

1855809567226643333895368959813722878442217875687187236104089638303002402773042456662133097877536247918004231691118274629680438964168405422518663942603262693625518217876659595029<178>

166488279010314840157032661567032960689384901333421<51>
3771189966375828123264640862296855452830351380749027636421<58>
2955774755229826627238625293006000192087138148899438754052794620068469<70>

08/10/24 08:35:39, prp70 = 2955774755229826627238625293006000192087138148899438754052794620068469
08/10/24 08:35:39, prp58 = 3771189966375828123264640862296855452830351380749027636421
08/10/24 08:35:39, prp51 = 166488279010314840157032661567032960689384901333421
08/10/24 08:35:39, NFS elapsed time = 61149.5767 seconds.
08/10/24 08:35:39, 
08/10/24 08:35:39, 

yafu 2.11

ubuntu+wine

204836685950084228092713174850900413362353503458825962225202703718065428588110903240853392477381940938746028925221982252273602711778583193775875712437<150>

1218845835394318740279916284543207307667511408583657<52>
168057911839043896804445458344784346168295173304041520512098789344993096271871602415563208259522541<99>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2836124853
Step 1 took 297446ms
Step 2 took 87391ms
********** Factor found in step 2: 1218845835394318740279916284543207307667511408583657
Found probable prime factor of 52 digits: 1218845835394318740279916284543207307667511408583657

7034141015048191982269635939915449624999120732373118976002216295507510568796875109908453360127999722963061561178900390611261443329984000034629617304852637451173592319583751999995671297836893420318603300960052031<211>

11480276497101127459040909156991109510204783<44>
612715296258271787270833973546227719086454497768370200267547614574680024282584412052977638480691368558672968210835754208829271295256437533446483357238447565629647191857<168>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=437284452
Step 1 took 90667ms
Step 2 took 28122ms
********** Factor found in step 2: 11480276497101127459040909156991109510204783
Found probable prime factor of 44 digits: 11480276497101127459040909156991109510204783

66836655677701640686355374592199141219829355939601780637549738051211246858192855142798064256201500513893410615380162398404698015550436539116975046700515892393052462847<167>

241208853787795018097176232009971053209700666473<48>
277090391285974942506223440570070279921808031516678280218170982487844775996386073745794601561115966580453122505413804839<120>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3490140104
Step 1 took 72269ms
Step 2 took 26959ms
********** Factor found in step 2: 241208853787795018097176232009971053209700666473
Found probable prime factor of 48 digits: 241208853787795018097176232009971053209700666473

74872246587730757570222643869702275955943527831470504832512184139432729005769115283946913839285726036515429763532811491613182501353331713303323215817420349505061113060630661046455668592336430960770191<200>

1036707485539682736539430634811432872361<40>

72221188360335055360179391231228152040921889245292793638167732294655543093198773557155046464026690938224587159772701428210913017867642958787180485372106083207031<161>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=387433943
Step 1 took 26819ms
Step 2 took 9969ms
********** Factor found in step 2: 1036707485539682736539430634811432872361
Found probable prime factor of 40 digits: 1036707485539682736539430634811432872361

72221188360335055360179391231228152040921889245292793638167732294655543093198773557155046464026690938224587159772701428210913017867642958787180485372106083207031<161>

45428457987261147534986068133574198774231944267612673199780644848050906603652941<80>
1589778556441141142028767788646252900759718651606015066556452757476627134192193491<82>

Number: 43333_218
N = 72221188360335055360179391231228152040921889245292793638167732294655543093198773557155046464026690938224587159772701428210913017867642958787180485372106083207031 (161 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=45428457987261147534986068133574198774231944267612673199780644848050906603652941 (pp80)
r2=1589778556441141142028767788646252900759718651606015066556452757476627134192193491 (pp82)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 50.74 hours.
Factorization parameters were as follows:
n: 72221188360335055360179391231228152040921889245292793638167732294655543093198773557155046464026690938224587159772701428210913017867642958787180485372106083207031
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 13
c0: -100
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 33659396
Relations: 7647164 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 23.32 hours.
Total relation processing time: 0.38 hours.
Pruned matrix : 6771216 x 6771441
Matrix solve time: 26.64 hours.
time per square root: 0.39 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: 50.74 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

68409550244791473527466912781231699338388331572872020985252446306000143739346658622229173069992544121576925989510463027901729464996349346950357438903566873361<158>

3071285008030105118551268772941745309621374316769<49>
22273917941815745218272272185293650143322604782795321510171603953572354568833277856389247495019407139730462769<110>

Number: 43333_219
N = 68409550244791473527466912781231699338388331572872020985252446306000143739346658622229173069992544121576925989510463027901729464996349346950357438903566873361 (158 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=3071285008030105118551268772941745309621374316769 (pp49)
r2=22273917941815745218272272185293650143322604782795321510171603953572354568833277856389247495019407139730462769 (pp110)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 58.68 hours.
Factorization parameters were as follows:
n: 68409550244791473527466912781231699338388331572872020985252446306000143739346658622229173069992544121576925989510463027901729464996349346950357438903566873361
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 13
c0: -10
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: 6694180 relations
Pruned matrix : 6116982 x 6117207
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 34.07 hours.
Total relation processing time: 0.43 hours.
Matrix solve time: 24.00 hours.
time per square root: 0.18 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: 58.68 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

22807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807<221>

1861270265805766584208444105870337068175304756933774466251573754379838797<73>
12253469022128397481352679806437712206264123306703011822650246352823264659814611080370205209766745511657725487071541926445722949945598688670809973331<149>

Number: n
N=22807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807
  ( 221 digits)
SNFS difficulty: 222 digits.
Divisors found:

Thu Apr 18 22:31:02 2019  p73 factor: 1861270265805766584208444105870337068175304756933774466251573754379838797
Thu Apr 18 22:31:02 2019  p149 factor: 12253469022128397481352679806437712206264123306703011822650246352823264659814611080370205209766745511657725487071541926445722949945598688670809973331
Thu Apr 18 22:31:02 2019  elapsed time 00:12:41 (Msieve 1.54 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 13x10^221-1 = 43(221)
#
n: 22807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807
m: 100000000000000000000000000000000000000000000
deg: 5
c5: 130
c0: -1
skew: 0.38
# Murphy_E = 1.91e-12
type: snfs
lss: 1
rlim: 35000000
alim: 35000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 35000000/35000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 116700000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 11422297 hash collisions in 65688863 relations (56147261 unique)
Msieve: matrix is 4488766 x 4488991 (1567.3 MB)

Sieving start time: 2019/04/16 07:23:59
Sieving end time  : 2019/04/18 13:04:43

Total sieving time: 53hrs 40min 44secs.

Total relation processing time: 5hrs 20min 10sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 12min 40sec.

Prototype def-par.txt line would be:
snfs,222,5,0,0,0,0,0,0,0,0,35000000,35000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.052000] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16271472K/16727236K available (12300K kernel code, 2473K rwdata, 4252K rodata, 2408K init, 2416K bss, 455764K reserved, 0K cma-reserved)
[    0.084510] x86/mm: Memory block size: 128MB
[    0.032000] Calibrating delay loop (skipped), value calculated using timer frequency.. 6398.93 BogoMIPS (lpj=12797860)
[    0.082199] smpboot: Total of 16 processors activated (102382.88 BogoMIPS)

15497811883065523606439990248498892517695748844800935889383647248742243545496590351004850796711073754858011412784562011370563032549778197307087557525920260666672667482583285879522895665005395449082002619<203>

143477046738531614613606356317902244297<39>

108015966562988182908553966153204575403687007452027054766517530990813874836267418838223520304472424081897162633517658238621531722956087168079280337710165703858377827<165>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3511845337
Step 1 took 26869ms
Step 2 took 10324ms
********** Factor found in step 2: 143477046738531614613606356317902244297
Found probable prime factor of 39 digits: 143477046738531614613606356317902244297

108015966562988182908553966153204575403687007452027054766517530990813874836267418838223520304472424081897162633517658238621531722956087168079280337710165703858377827<165>

7901097470050261624473897879915024911047089218005966709496311043669284743<73>
13671007979895362034976744086323099096338019097415828551400935194118133561753892652619569989<92>

Number: 43333_222
N = 108015966562988182908553966153204575403687007452027054766517530990813874836267418838223520304472424081897162633517658238621531722956087168079280337710165703858377827 (165 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=7901097470050261624473897879915024911047089218005966709496311043669284743 (pp73)
r2=13671007979895362034976744086323099096338019097415828551400935194118133561753892652619569989 (pp92)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 64.21 hours.
Factorization parameters were as follows:
n: 108015966562988182908553966153204575403687007452027054766517530990813874836267418838223520304472424081897162633517658238621531722956087168079280337710165703858377827
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 1300
c0: -1
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 22369622
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/22369622
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 33187239
Relations: 9316096 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 30.63 hours.
Total relation processing time: 0.36 hours.
Pruned matrix : 8028266 x 8028491
Matrix solve time: 32.95 hours.
time per square root: 0.27 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,22369622,29,28,58,56,2.8,2.8,100000
total time: 64.21 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

43333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<224>

2069522377793581467733895361169203748419860641371936379<55>
2584267123640315640466542002059942098958431914621828313274663066840369<70>
8102416576006431046511262870407087615562119292746925659233398910565524356555377494787365361857978783<100>

N=43333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333
  ( 224 digits)
SNFS difficulty: 224 digits.
Divisors found:
 r1=2069522377793581467733895361169203748419860641371936379 (pp55)
 r2=2584267123640315640466542002059942098958431914621828313274663066840369 (pp70)
 r3=8102416576006431046511262870407087615562119292746925659233398910565524356555377494787365361857978783 (pp100)
Version: Msieve v. 1.53 (SVN unknown)
Total time:
Scaled time: 373.78 units (timescale=1.824).
Factorization parameters were as follows:
n: 43333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333
m: 10000000000000000000000000000000000000
deg: 6
c6: 130
c0: -1
skew: 0.44
# Murphy_E = 1.515e-12
type: snfs
lss: 1
rlim: 38000000
alim: 38000000
lpbr: 29
lpba: 29
mfbr: 59
mfba: 59
rlambda: 2.6
alambda: 2.6
qintsize: 4800000
Factor base limits: 38000000/38000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 59/59
Sieved rational special-q in [19000000, 76600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 6496803 x 6497027
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,224.000,6,0,0,0,0,0,0,0,0,38000000,38000000,29,29,59,59,2.6,2.6,100000
total time:

1940251135869341688552785432435472447222530419251775559543826993293931878502395549472325542611558656962386479605669192762650333742784509090095455017419394820980407974316547599928149487895593662574803314842202907<211>

2863340786886203703598323360481<31>
314363742668029011704223740868601<33>

2155521981734924599398214082738658898666243058726508424108095638771987911270138005681041836664008214963168946363675853315987789557141530265139952147<148>

GMP-ECM 6.4.4 [configured with GMP 5.1.1] [ECM]
Input number is 1940251135869341688552785432435472447222530419251775559543826993293931878502395549472325542611558656962386479605669192762650333742784509090095455017419394820980407974316547599928149487895593662574803314842202907 (211 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3523213292
Step 1 took 26707ms
Step 2 took 7488ms
********** Factor found in step 2: 2863340786886203703598323360481
Found probable prime factor of 31 digits: 2863340786886203703598323360481
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3016425114
Step 1 took 17223ms
Step 2 took 5850ms
********** Factor found in step 2: 314363742668029011704223740868601
Found probable prime factor of 33 digits: 314363742668029011704223740868601
Composite cofactor 2155521981734924599398214082738658898666243058726508424108095638771987911270138005681041836664008214963168946363675853315987789557141530265139952147 has 148 digits

2155521981734924599398214082738658898666243058726508424108095638771987911270138005681041836664008214963168946363675853315987789557141530265139952147<148>

47003946687035223278291680269771164987914445919187<50>
45858319006422230202838503655198372742707636758865113190860644891305015768667973253006720281254081<98>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:3562025871
Step 1 took 84079ms
Step 2 took 32312ms
********** Factor found in step 2: 47003946687035223278291680269771164987914445919187
Found prime factor of 50 digits: 47003946687035223278291680269771164987914445919187
Prime cofactor 45858319006422230202838503655198372742707636758865113190860644891305015768667973253006720281254081 has 98 digits
 

GMP-ECM

191411174894496210152041499850443553326603049282375302651870287463893396310048781644039260076189403315424395103287123697264072666416327692771253594055978524238651645229120236622513<180>

178968749055988641996979745176524101274424223149853817379131734773736415409<75>
1069522896618197155670527038793332404266493217559022490578369635652025047451405067207391263241237638713857<106>

>> nfs: checking for job file - job file found, testing for matching input
nfs: number in job file matches input
nfs: checking for data file
nfs: previous data file found
nfs: user specified post processing only, skipping search for last special-q
nfs: commencing nfs on c180: 191411174894496210152041499850443553326603049282375302651870287463893396310048781644039260076189403315424395103287123697264072666416327692771253594055978524238651645229120236622513
nfs: resumesieve; last_spq = 0, nfs_phases = 28
nfs: resuming with filtering
nfs: found 0 relations, need at least 0, proceeding with filtering ...
Elapsed time is now 0.0003 seconds.
nfs: commencing msieve filtering
191411174894496210152041499850443553326603049282375302651870287463893396310048781644039260076189403315424395103287123697264072666416327692771253594055978524238651645229120236622513

commencing relation filtering
estimated available RAM is 64038.1 MB
commencing duplicate removal, pass 1
read 10M relations
read 20M relations
read 30M relations
read 40M relations
skipped 8 relations with b > 2^32
found 1860603 hash collisions in 45965408 relations
added 49 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 45965457 unique relations
memory use: 130.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 1378.0 MB
reading all ideals from disk
memory use: 1684.1 MB
keeping 46402404 ideals with weight <= 200, target excess is 249792
commencing in-memory singleton removal
begin with 45965457 relations and 46402404 unique ideals
reduce to 26170555 relations and 24246588 ideals in 16 passes
max relations containing the same ideal: 144
removing 2836465 relations and 2436465 ideals in 400000 cliques
checking relations array at location 1
commencing in-memory singleton removal
begin with 23334090 relations and 24246588 unique ideals
reduce to 23082475 relations and 21553290 ideals in 9 passes
max relations containing the same ideal: 132
removing 2141372 relations and 1741372 ideals in 400000 cliques
checking relations array at location 1
commencing in-memory singleton removal
begin with 20941103 relations and 21553290 unique ideals
reduce to 20783358 relations and 19651345 ideals in 8 passes
max relations containing the same ideal: 121
removing 1925219 relations and 1525219 ideals in 400000 cliques
checking relations array at location 1
commencing in-memory singleton removal
begin with 18858139 relations and 19651345 unique ideals
reduce to 18718942 relations and 17984430 ideals in 8 passes
max relations containing the same ideal: 114
removing 1813833 relations and 1413833 ideals in 400000 cliques
checking relations array at location 1
commencing in-memory singleton removal
begin with 16905109 relations and 17984430 unique ideals
reduce to 16768755 relations and 16431680 ideals in 7 passes
max relations containing the same ideal: 108
removing 307287 relations and 259971 ideals in 47316 cliques
checking relations array at location 1
commencing in-memory singleton removal
begin with 16461468 relations and 16431680 unique ideals
reduce to 16457694 relations and 16167920 ideals in 5 passes
max relations containing the same ideal: 106
relations with 0 large ideals: 4899
relations with 1 large ideals: 1557
relations with 2 large ideals: 25745
relations with 3 large ideals: 210781
relations with 4 large ideals: 938867
relations with 5 large ideals: 2500196
relations with 6 large ideals: 4304354
relations with 7+ large ideals: 8471295
commencing 2-way merge
reduce to 10650578 relation sets and 10360804 unique ideals
commencing full merge
memory use: 1298.5 MB
found 5195282 cycles, need 5159004
weight of 5159004 cycles is about 464635639 (90.06/cycle)
distribution of cycle lengths:
1 relations: 432655
2 relations: 500828
3 relations: 529733
4 relations: 496248
5 relations: 466658
6 relations: 425173
7 relations: 382154
8 relations: 336637
9 relations: 298280
10+ relations: 1290638
heaviest cycle: 25 relations
commencing cycle optimization
start with 34899608 relations
pruned 1170254 relations
memory use: 1040.3 MB
distribution of cycle lengths:
1 relations: 432655
2 relations: 513694
3 relations: 552549
4 relations: 513392
5 relations: 483737
6 relations: 436441
7 relations: 390764
8 relations: 342369
9 relations: 300586
10+ relations: 1192817
heaviest cycle: 25 relations
RelProcTime: 469
Elapsed time is now 468.6959 seconds.
nfs: commencing msieve linear algebra

commencing linear algebra
read 5159004 cycles
cycles contain 16284023 unique relations
read 16284023 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 2102.0 MB
read 5159004 cycles
matrix is 5158827 x 5159004 (1903.6 MB) with weight 554252814 (107.43/col)
sparse part has weight 442258310 (85.73/col)
filtering completed in 2 passes
matrix is 5158147 x 5158324 (1903.5 MB) with weight 554232394 (107.44/col)
sparse part has weight 442252606 (85.74/col)
matrix starts at (0, 0)
matrix is 5158147 x 5158324 (1903.5 MB) with weight 554232394 (107.44/col)
sparse part has weight 442252606 (85.74/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 5158099 x 5158324 (1820.1 MB) with weight 458986913 (88.98/col)
sparse part has weight 425547191 (82.50/col)
using block size 8192 and superblock size 3538944 for processor cache size 36864 kB
commencing Lanczos iteration (32 threads)
memory use: 1750.4 MB
VBITS = 64
linear algebra at 0.0%, ETA 2h49m5158324 dimensions (0.0%, ETA 2h49m)    
checkpointing every 1460000 dimensions24 dimensions (0.0%, ETA 3h32m)    
linear algebra completed 5158077 of 5158324 dimensions (100.0%, ETA 0h 0m)    
lanczos halted after 81570 iterations (dim = 5158099)
recovered 38 nontrivial dependencies
BLanczosTime: 13472
Elapsed time is now 13941.3156 seconds.
nfs: commencing msieve sqrt

commencing square root phase
reading relations for dependency 1
read 2578884 cycles
cycles contain 8143538 unique relations
read 8143538 relations
multiplying 8143538 relations
multiply complete, coefficients have about 227.01 million bits
initial square root is modulo 140230661
GCD is N, no factor found
reading relations for dependency 2
read 2579027 cycles
cycles contain 8142330 unique relations
read 8142330 relations
multiplying 8142330 relations
multiply complete, coefficients have about 226.98 million bits
initial square root is modulo 139860961
GCD is 1, no factor found
reading relations for dependency 3
read 2578849 cycles
cycles contain 8139690 unique relations
read 8139690 relations
multiplying 8139690 relations
multiply complete, coefficients have about 226.91 million bits
initial square root is modulo 138996181
sqrtTime: 584
NFS elapsed time = 14525.0872 seconds.


***factors found***

C47 = 67916619848164355020778798579081809368796629423
P75 = 178968749055988641996979745176524101274424223149853817379131734773736415409
P106 = 1069522896618197155670527038793332404266493217559022490578369635652025047451405067207391263241237638713857

ans = 1

yafu 2.11

ubuntu, i9-14900k

92676752016682552859217640547309150904601440128110722901287278384147777588994151473882001037434656726722329625661495976661450888488537280489419832434893230562482930466689808767831350347707468517706709806457<206>

3266205443062625197079637755573<31>

28374440503590085386633119846092575493423545589219742552504403728014546187558163737014763061422212852727569988378544425164519440853989331119620913813685083475603879231964013109<176>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3818041465
Step 1 took 26645ms
Step 2 took 10293ms
********** Factor found in step 2: 3266205443062625197079637755573
Found probable prime factor of 31 digits: 3266205443062625197079637755573

28374440503590085386633119846092575493423545589219742552504403728014546187558163737014763061422212852727569988378544425164519440853989331119620913813685083475603879231964013109<176>

789858770947157511990849138334984836893<39>

35923435362457181714351399547705938264569081785867044381798914081262008615242117266819811557721561784430417817585605916319837744062059513<137>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3613792902
Step 1 took 22841ms
Step 2 took 8922ms
********** Factor found in step 2: 789858770947157511990849138334984836893
Found probable prime factor of 39 digits: 789858770947157511990849138334984836893

35923435362457181714351399547705938264569081785867044381798914081262008615242117266819811557721561784430417817585605916319837744062059513<137>

5597239216692342925203179129923092855867445337104930163725679<61>
6418063257922703910431215128882379198136866966138030058205005912042408839447<76>

Number: 1
N=35923435362457181714351399547705938264569081785867044381798914081262008615242117266819811557721561784430417817585605916319837744062059513
  ( 137 digits)
Divisors found:
 r1=5597239216692342925203179129923092855867445337104930163725679 (pp61)
 r2=6418063257922703910431215128882379198136866966138030058205005912042408839447 (pp76)
Version: Msieve v. 1.52 (SVN 927)
Total time: 247.10 hours.
Scaled time: 1348.95 units (timescale=5.459).
Factorization parameters were as follows:
name: 1
# Murphy_E = 4.021e-11, selected by Dmitry Domanov
n: 35923435362457181714351399547705938264569081785867044381798914081262008615242117266819811557721561784430417817585605916319837744062059513
Y0: -698530533130794952904234218
Y1: 352297638929729
c0: -24816779696295146654736037600047075
c1: 22840450093603023506872401732
c2: 26478138118494250532785
c3: -3559688176939478
c4: -2820434420
c5: 216
skew: 3180717.15
type: gnfs
# selected mechanically
rlim: 14700000
alim: 14700000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6Factor base limits: 14700000/14700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved algebraic special-q in [7350000, 16350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2162941 x 2163168
Total sieving time: 243.90 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 2.81 hours.
Time per square root: 0.30 hours.
Prototype def-par.txt line would be:
gnfs,136,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,14700000,14700000,28,28,55,55,2.6,2.6,100000
total time: 247.10 hours.
 --------- CPU info (if available) ----------

GGNFS

5278583016337431655699404988108062805321219426274763609457303985099077192870431834616038919549231307187682473786960402202017305851106604078696454495481965540227844187063988375014102261383008753247991301201063763909<214>

127514737761037381435815947189280914967287565351303102531657985855672934506468920734877242542840047474717751032378934565321876624586803205524330792847404094203964727461770100736642831219531334294598279531922824157176627529451<225>

20502592013237713917358653301525287871<38>

6219444725754975343188141156602118752905641245200963389279236850037675088889219368138132122392882125967512735233996574207273362505492813466872861251635863156052750360420531034267491968981<187>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1907685886
Step 1 took 25071ms
Step 2 took 8485ms
********** Factor found in step 2: 20502592013237713917358653301525287871
Found probable prime factor of 38 digits: 20502592013237713917358653301525287871

6219444725754975343188141156602118752905641245200963389279236850037675088889219368138132122392882125967512735233996574207273362505492813466872861251635863156052750360420531034267491968981<187>

78612221892330222487843581185615547673<38>

79115493444178729868331857414895844605888164707611331844047477995442401441684542029381210685516806284465499623349125981038948353759645867762617043997<149>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2534375728
Step 1 took 102334ms
Step 2 took 31741ms
********** Factor found in step 2: 78612221892330222487843581185615547673
Found probable prime factor of 38 digits: 78612221892330222487843581185615547673

79115493444178729868331857414895844605888164707611331844047477995442401441684542029381210685516806284465499623349125981038948353759645867762617043997<149>

554138378303504643874760138976900459510546290168989549992207609809<66>
142772088239747830769936966676611599469473380574530496288388680193035043442037806733<84>

Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 1.38936e+06/189353 [2d 04:35:53]
142772088239747830769936966676611599469473380574530496288388680193035043442037806733 554138378303504643874760138976900459510546290168989549992207609809

cado-nfs

139190915330166204659897705384225814775436872101750700505048882778764605677490366382610129458258250541506195601781215436486649985170814020593831272772436772526711272001533241467329215423638257800847779744295581544997746177871<225>

10293370046610678909565128529977051567677837971892777<53>
126723830244414323769796461776834901451837117887939746198180400436686415081<75>
106707516871265414344996350592128957101608950529045523184768105540209101499911478286216626324916383<99>

Number: n
N=139190915330166204659897705384225814775436872101750700505048882778764605677490366382610129458258250541506195601781215436486649985170814020593831272772436772526711272001533241467329215423638257800847779744295581544997746177871  ( 225 digits)
SNFS difficulty: 230 digits.
Divisors found:

Wed Nov 18 00:04:06 2020  found factor: 10293370046610678909565128529977051567677837971892777
Wed Nov 18 00:17:50 2020  found factor: 10293370046610678909565128529977051567677837971892777
Wed Nov 18 00:32:06 2020  p53 factor: 10293370046610678909565128529977051567677837971892777
Wed Nov 18 00:32:06 2020  p75 factor: 126723830244414323769796461776834901451837117887939746198180400436686415081
Wed Nov 18 00:32:06 2020  p99 factor: 106707516871265414344996350592128957101608950529045523184768105540209101499911478286216626324916383
Wed Nov 18 00:32:06 2020  elapsed time 20:14:27 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.336).
Factorization parameters were as follows:
#
# N = 13x10^229-1 = 43(229)
#
n: 139190915330166204659897705384225814775436872101750700505048882778764605677490366382610129458258250541506195601781215436486649985170814020593831272772436772526711272001533241467329215423638257800847779744295581544997746177871
m: 100000000000000000000000000000000000000
deg: 6
c6: 130
c0: -1
skew: 0.44
# Murphy_E = 9.435e-13
type: snfs
lss: 1
rlim: 48000000
alim: 48000000
lpbr: 30
lpba: 30
mfbr: 59
mfba: 59
rlambda: 2.7
alambda: 2.7
Factor base limits: 48000000/48000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 59/59
Sieved  special-q in [100000, 144800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 25217911 hash collisions in 128611139 relations (105607373 unique)
Msieve: matrix is 6394655 x 6394880 (2240.9 MB)

Sieving start time: 2020/11/14 00:48:36
Sieving end time  : 2020/11/17 04:14:41

Total sieving time: 75hrs 26min 5secs.

Total relation processing time: 18hrs 51min 16sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 41min 42sec.

Prototype def-par.txt line would be:
snfs,230,6,0,0,0,0,0,0,0,0,48000000,48000000,30,30,59,59,2.7,2.7,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118294] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16242460K/16727236K available (14339K kernel code, 2398K rwdata, 4956K rodata, 2716K init, 4988K bss, 484776K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798568)
[    0.152036] smpboot: Total of 16 processors activated (102388.54 BogoMIPS)

139221839181048425984378158970706662653049762560275369446773569703145269159925103007096225745507080148198040662380083643763215864981871363675266984003578932282178355897537993681805131<183>

12012220029994250181103998698637619841<38>

11590017401730449861351699916974520757051202733033400457298525736961342536972518211144133959314638436078049470441838135825216705125576072017695691<146>

GMP-ECM 6.4.4 [configured with GMP 5.1.1] [ECM]
Input number is 139221839181048425984378158970706662653049762560275369446773569703145269159925103007096225745507080148198040662380083643763215864981871363675266984003578932282178355897537993681805131 (183 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=786711635
Step 1 took 16879ms
Step 2 took 5679ms
********** Factor found in step 2: 12012220029994250181103998698637619841
Found probable prime factor of 38 digits: 12012220029994250181103998698637619841
Composite cofactor 11590017401730449861351699916974520757051202733033400457298525736961342536972518211144133959314638436078049470441838135825216705125576072017695691 has 146 digits

11590017401730449861351699916974520757051202733033400457298525736961342536972518211144133959314638436078049470441838135825216705125576072017695691<146>

1550784777171017724864129482076674270705633200820866928406397156513<67>
7473646615794916215301456054808836569803541281127174463485257965858955223657707<79>

PID4361 2020-04-06 16:11:13,932 Debug:root: Root parameter dictionary:
N = 11590017401730449861351699916974520757051202733033400457298525736961342536972518211144133959314638436078049470441838135825216705125576072017695691
name = 43333_230
tasks.I = 14
tasks.lim0 = 13000000
tasks.lim1 = 20000000
tasks.lpb0 = 30
tasks.lpb1 = 31
tasks.qmin = 100000
tasks.threads = 6
tasks.wutimeout = 1800
tasks.filter.required_excess = 0.05
tasks.filter.target_density = 135.0
tasks.filter.purge.keep = 175
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.bwc.interleaving = 0
tasks.linalg.bwc.threads = 6
tasks.linalg.characters.nchar = 50
tasks.polyselect.P = 300000
tasks.polyselect.admax = 20e4
tasks.polyselect.admin = 12600
tasks.polyselect.adrange = 840
tasks.polyselect.degree = 5
tasks.polyselect.incr = 60
tasks.polyselect.nq = 15625
tasks.polyselect.nrkeep = 100
tasks.polyselect.threads = 2
tasks.sieve.lambda0 = 1.81
tasks.sieve.lambda1 = 1.79
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 58
tasks.sieve.ncurves0 = 19
tasks.sieve.ncurves1 = 22
tasks.sieve.qrange = 5000
tasks.sieve.rels_wanted = 85000000
tasks.sieve.las.threads = 2
tasks.sqrt.threads = 2
PID4361 2020-04-06 16:45:36,271 Info:Polynomial Selection (root optimized): Best polynomial is:
n: 11590017401730449861351699916974520757051202733033400457298525736961342536972518211144133959314638436078049470441838135825216705125576072017695691
skew: 549555.791
c0: -2232181734590405675662139265481045
c1: 43029625639649048764020721781
c2: 6124456143375042248323
c3: -252073403308509197
c4: -176842305462
c5: 118800
Y0: -16075254990519518671128943906
Y1: 5368104637784160982009
# MurphyE (Bf=2.147e+09,Bg=1.074e+09,area=1.342e+13) = 2.565e-06
PID15203 2020-04-06 21:57:08,327 Info:Square Root: Factors: 7473646615794916215301456054808836569803541281127174463485257965858955223657707 1550784777171017724864129482076674270705633200820866928406397156513
PID15203 2020-04-06 21:57:08,327 Debug:Square Root: Exit SqrtTask.run(sqrt)
PID15203 2020-04-06 21:57:08,327 Info:Square Root: Total cpu/real time for sqrt: 607.62/136.004
PID15203 2020-04-06 21:57:08,327 Info:Polynomial Selection (size optimized): Aggregate statistics:
PID15203 2020-04-06 21:57:08,327 Info:Polynomial Selection (size optimized): potential collisions: 144726
PID15203 2020-04-06 21:57:08,327 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 146821/42.340/52.833/60.730/1.210
PID15203 2020-04-06 21:57:08,327 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 121675/42.030/46.746/53.140/1.003
PID15203 2020-04-06 21:57:08,327 Info:Polynomial Selection (size optimized): Total time: 61936.9
PID15203 2020-04-06 21:57:08,327 Info:Polynomial Selection (root optimized): Aggregate statistics:
PID15203 2020-04-06 21:57:08,327 Info:Polynomial Selection (root optimized): Total time: 2252.38
PID15203 2020-04-06 21:57:08,327 Info:Polynomial Selection (root optimized): Rootsieve time: 2249.62
PID15203 2020-04-06 21:57:08,328 Info:Generate Factor Base: Total cpu/real time for makefb: 14.44/2.7433
PID15203 2020-04-06 21:57:08,328 Info:Generate Free Relations: Total cpu/real time for freerel: 1335.17/224.546
PID15203 2020-04-06 21:57:08,328 Info:Lattice Sieving: Aggregate statistics:
PID15203 2020-04-06 21:57:08,328 Info:Lattice Sieving: Total number of relations: 94436271
PID15203 2020-04-06 21:57:08,328 Info:Lattice Sieving: Average J: 7926.88 for 541544 special-q, max bucket fill -bkmult 1.0,1s:1.088780
PID15203 2020-04-06 21:57:08,328 Info:Lattice Sieving: Total time: 518411s
PID15203 2020-04-06 21:57:08,328 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 271.6/232.914
PID15203 2020-04-06 21:57:08,328 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
PID15203 2020-04-06 21:57:08,328 Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 232.7s
PID15203 2020-04-06 21:57:08,328 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1020.66/436.103
PID15203 2020-04-06 21:57:08,328 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
PID15203 2020-04-06 21:57:08,328 Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 344.2s
PID15203 2020-04-06 21:57:08,328 Info:Filtering - Singleton removal: Total cpu/real time for purge: 420.09/230.374
PID15203 2020-04-06 21:57:08,328 Info:Filtering - Merging: Total cpu/real time for merge: 152.67/35.4748
PID15203 2020-04-06 21:57:08,328 Info:Filtering - Merging: Total cpu/real time for replay: 55.6/56.7699
PID15203 2020-04-06 21:57:08,328 Info:Linear Algebra: Total cpu/real time for bwc: 46083.2/8131.4
PID15203 2020-04-06 21:57:08,329 Info:Linear Algebra: Aggregate statistics:
PID15203 2020-04-06 21:57:08,329 Info:Linear Algebra: Krylov: WCT time 5144.96, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (70656 iterations)
PID15203 2020-04-06 21:57:08,329 Info:Linear Algebra: Lingen CPU time 277.24, WCT time 52.24
PID15203 2020-04-06 21:57:08,329 Info:Linear Algebra: Mksol: WCT time 2817.72, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (34304 iterations)
PID15203 2020-04-06 21:57:08,329 Info:Quadratic Characters: Total cpu/real time for characters: 73.06/22.5761
PID15203 2020-04-06 21:57:08,329 Info:Square Root: Total cpu/real time for sqrt: 607.62/136.004
PID15203 2020-04-06 21:57:08,329 Info:HTTP server: Shutting down HTTP server
PID15203 2020-04-06 21:57:08,371 Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.17632e+06/20240.7

CADO-NFS

1860388663541459920437680311072213521323858180154679471373980062306089580128515843938178824633132671189265911121296283587053095454925518040537521212833351759091734097157364259497845283395060270552919246110715309<211>

5122675421365934210699988178550482987639491523913506116545335881981377701694679489895568773049278781404235118248569716004761933597484993145109604654483617784613012959096762763127172208249778333768356489<202>

333472488294313071610344810822391301583826993603806424566514294039718114814634432260537831022533227629853613916532428839512690828776642918627773206435614201874427143574948910815990079544731<189>

4333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<235>

14128994925065445585620883657265903097409331438409591728471219<62>
306697918451779846502531784418740893629434264238960807803935790698135772681495602566144157461818830804165278036747942002642692683392360409597742276905457803083849718492789207<174>

N=4333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333
  ( 235 digits)
SNFS difficulty: 235 digits.
Divisors found:
 r1=14128994925065445585620883657265903097409331438409591728471219 (pp62)
 r2=306697918451779846502531784418740893629434264238960807803935790698135772681495602566144157461818830804165278036747942002642692683392360409597742276905457803083849718492789207 (pp174)
Version: Msieve v. 1.53 (SVN unknown)
Total time:
Scaled time: 109.98 units (timescale=2.078).
Factorization parameters were as follows:
n: 4333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333
m: 1000000000000000000000000000000000000000
deg: 6
c6: 13
c0: -1
skew: 0.65
# Murphy_E = 7.194e-13
type: snfs
lss: 1
rlim: 58000000
alim: 58000000
lpbr: 30
lpba: 30
mfbr: 60
mfba: 60
rlambda: 2.7
alambda: 2.7
qintsize: 200000
Factor base limits: 58000000/58000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 60/60
Sieved rational special-q in [29000000, 67200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 8474394 x 8474620
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,235.000,6,0,0,0,0,0,0,0,0,58000000,58000000,30,30,60,60,2.7,2.7,100000
total time:

54242466594903171704835674308908336388405337584404742297080396193113321879116577414762807145613261948704388089248109525324884799556615791826136206122242912578572299898761791706333306312911323308106187420069<206>

4260289299086858064617916019<28>
12732108734148498815756753863297968091780550136120452871935346244220472462349207710671604785235619840685233362320556703849298161365764425160185821563288987748747272289349286594951<179>

GMP-ECM 6.4.4 [configured with GMP 5.1.1] [ECM]
Input number is 54242466594903171704835674308908336388405337584404742297080396193113321879116577414762807145613261948704388089248109525324884799556615791826136206122242912578572299898761791706333306312911323308106187420069 (206 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=108501504
Step 1 took 28002ms
********** Factor found in step 1: 4260289299086858064617916019
Found probable prime factor of 28 digits: 4260289299086858064617916019
Probable prime cofactor 12732108734148498815756753863297968091780550136120452871935346244220472462349207710671604785235619840685233362320556703849298161365764425160185821563288987748747272289349286594951 has 179 digits

1701217609069730163536618078958405359593234490410184217528703253554113047678594870320572979518713581195575119623924394716967793454783897638965077715937203650739382731711486768310600020497946086416821434391897269219650673<220>

5712491321814526001269803727847267<34>

297806598422866810999130118067037602276878016519569170524514222871450813043815740075725787461192013489510864125021507625354618997166262056756027821966451852544491517132167528218447617819<186>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1433965953
Step 1 took 35637ms
Step 2 took 13970ms
********** Factor found in step 2: 5712491321814526001269803727847267
Found probable prime factor of 34 digits: 5712491321814526001269803727847267

495174649780990371872313906946292250924405484976320617979396444050922158804965975838777033121459078614693591345977545471976286796570901986778538712671511832791337803257060541830400035294886098304892447323741511746577<216>

22807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807<239>

79697191013013229817452442530544814329431809804322333448234843328832806445957073625280023822546257588040952996092636575588428968224893671874537928633089699397655377802499649129869073594112893<191>

7493721754571849133200216736313176700350737311<46>

10635194850194527633772255085902800684696558092104211068668226522132456834270827955470872958561736885502106488149760666284967170732261422159979363<146>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2697084365
Step 1 took 458410ms
Step 2 took 117764ms
********** Factor found in step 2: 7493721754571849133200216736313176700350737311
Found probable prime factor of 46 digits: 7493721754571849133200216736313176700350737311

10635194850194527633772255085902800684696558092104211068668226522132456834270827955470872958561736885502106488149760666284967170732261422159979363<146>

75378649872304907870474052398452059106587053567967039791519285761225541<71>
141090280446931113704262109235014356781536516974570864932126333199562347143<75>

PID7805 2020-04-06 05:15:51,149 Debug:root: Root parameter dictionary:
N = 10635194850194527633772255085902800684696558092104211068668226522132456834270827955470872958561736885502106488149760666284967170732261422159979363
name = 43333_240
tasks.I = 14
tasks.lim0 = 13000000
tasks.lim1 = 20000000
tasks.lpb0 = 30
tasks.lpb1 = 31
tasks.qmin = 100000
tasks.threads = 6
tasks.wutimeout = 1800
tasks.filter.required_excess = 0.05
tasks.filter.target_density = 135.0
tasks.filter.purge.keep = 175
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.bwc.interleaving = 0
tasks.linalg.bwc.threads = 6
tasks.linalg.characters.nchar = 50
tasks.polyselect.P = 300000
tasks.polyselect.admax = 20e4
tasks.polyselect.admin = 12600
tasks.polyselect.adrange = 840
tasks.polyselect.degree = 5
tasks.polyselect.incr = 60
tasks.polyselect.nq = 15625
tasks.polyselect.nrkeep = 100
tasks.polyselect.threads = 2
tasks.sieve.lambda0 = 1.81
tasks.sieve.lambda1 = 1.79
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 58
tasks.sieve.ncurves0 = 19
tasks.sieve.ncurves1 = 22
tasks.sieve.qrange = 5000
tasks.sieve.rels_wanted = 85000000
tasks.sieve.las.threads = 2
tasks.sqrt.threads = 2
PID7805 2020-04-06 05:31:43,666 Info:Polynomial Selection (root optimized): Best polynomial is:
n: 10635194850194527633772255085902800684696558092104211068668226522132456834270827955470872958561736885502106488149760666284967170732261422159979363
skew: 911181.609
c0: 29342294703061717173752762211431250
c1: 107930647082131663658464123545
c2: -262952877505803189728161
c3: -144080460122978509
c4: 155008428482
c5: 33720
Y0: -1216713785198060542064581451
Y1: 12330690865993668874333
# MurphyE (Bf=2.147e+09,Bg=1.074e+09,area=1.342e+13) = 2.571e-06
PID7805 2020-04-06 10:50:04,173 Info:Square Root: Factors: 141090280446931113704262109235014356781536516974570864932126333199562347143 75378649872304907870474052398452059106587053567967039791519285761225541
PID7805 2020-04-06 10:50:04,173 Debug:Square Root: Exit SqrtTask.run(sqrt)
PID7805 2020-04-06 10:50:04,173 Info:Polynomial Selection (size optimized): Aggregate statistics:
PID7805 2020-04-06 10:50:04,174 Info:Polynomial Selection (size optimized): potential collisions: 144726
PID7805 2020-04-06 10:50:04,174 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 147235/42.560/52.826/59.660/1.207
PID7805 2020-04-06 10:50:04,174 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 122348/42.730/46.730/53.140/1.002
PID7805 2020-04-06 10:50:04,174 Info:Polynomial Selection (size optimized): Total time: 62522.3
PID7805 2020-04-06 10:50:04,174 Info:Polynomial Selection (root optimized): Aggregate statistics:
PID7805 2020-04-06 10:50:04,174 Info:Polynomial Selection (root optimized): Total time: 1923.44
PID7805 2020-04-06 10:50:04,174 Info:Polynomial Selection (root optimized): Rootsieve time: 1922.04
PID7805 2020-04-06 10:50:04,175 Info:Generate Factor Base: Total cpu/real time for makefb: 14.34/2.73217
PID7805 2020-04-06 10:50:04,175 Info:Generate Free Relations: Total cpu/real time for freerel: 1333.48/224.321
PID7805 2020-04-06 10:50:04,175 Info:Lattice Sieving: Aggregate statistics:
PID7805 2020-04-06 10:50:04,175 Info:Lattice Sieving: Total number of relations: 99630611
PID7805 2020-04-06 10:50:04,175 Info:Lattice Sieving: Average J: 7993.78 for 628144 special-q, max bucket fill -bkmult 1.0,1s:1.086110
PID7805 2020-04-06 10:50:04,175 Info:Lattice Sieving: Total time: 595978s
PID7805 2020-04-06 10:50:04,175 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 278.03/321.546
PID7805 2020-04-06 10:50:04,176 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
PID7805 2020-04-06 10:50:04,176 Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 320.9s
PID7805 2020-04-06 10:50:04,176 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1148.87/546.617
PID7805 2020-04-06 10:50:04,176 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
PID7805 2020-04-06 10:50:04,176 Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 424.4s
PID7805 2020-04-06 10:50:04,176 Info:Filtering - Singleton removal: Total cpu/real time for purge: 516/248.537
PID7805 2020-04-06 10:50:04,176 Info:Filtering - Merging: Total cpu/real time for merge: 153.05/35.3598
PID7805 2020-04-06 10:50:04,177 Info:Filtering - Merging: Total cpu/real time for replay: 55.01/56.1388
PID7805 2020-04-06 10:50:04,177 Info:Linear Algebra: Total cpu/real time for bwc: 42540.6/7517.87
PID7805 2020-04-06 10:50:04,177 Info:Linear Algebra: Aggregate statistics:
PID7805 2020-04-06 10:50:04,177 Info:Linear Algebra: Krylov: WCT time 4765.14, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (69120 iterations)
PID7805 2020-04-06 10:50:04,177 Info:Linear Algebra: Lingen CPU time 271.7, WCT time 51.08
PID7805 2020-04-06 10:50:04,177 Info:Linear Algebra: Mksol: WCT time 2582.36, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (33792 iterations)
PID7805 2020-04-06 10:50:04,177 Info:Quadratic Characters: Total cpu/real time for characters: 71.46/22.0175
PID7805 2020-04-06 10:50:04,178 Info:Square Root: Total cpu/real time for sqrt: 589.32/132.541
PID7805 2020-04-06 10:50:04,178 Info:HTTP server: Shutting down HTTP server
PID7805 2020-04-06 10:50:04,291 Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.32824e+06/20052.2

CADO-NFS

7673091209955093132365077286557411988655152647468109501947961501798514610682671988890022911320445970707346393509776075378173754127613925477134970799352085974372092751140752931969<178>

1012109884934073975336109212061961<34>

7581282748221451236797528576066774153124838938435893523393291759612352781171701223566248388152868525213993688711999746670220329336908654854899129<145>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4126614235
Step 1 took 22850ms
Step 2 took 8957ms
********** Factor found in step 2: 1012109884934073975336109212061961
Found probable prime factor of 34 digits: 1012109884934073975336109212061961

7581282748221451236797528576066774153124838938435893523393291759612352781171701223566248388152868525213993688711999746670220329336908654854899129<145>

8121251771120400901115775297326576471653745720674301<52>
933511601645068072691011233355614254384578046289704991225112085263511337488777899852182424429<93>

PID6783 2020-04-06 00:01:40,832 Debug:root: Root parameter dictionary:
N = 7581282748221451236797528576066774153124838938435893523393291759612352781171701223566248388152868525213993688711999746670220329336908654854899129
name = 43333_241
tasks.I = 14
tasks.lim0 = 13000000
tasks.lim1 = 20000000
tasks.lpb0 = 30
tasks.lpb1 = 31
tasks.qmin = 100000
tasks.threads = 6
tasks.wutimeout = 1800
tasks.filter.required_excess = 0.05
tasks.filter.target_density = 135.0
tasks.filter.purge.keep = 175
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.bwc.interleaving = 0
tasks.linalg.bwc.threads = 6
tasks.linalg.characters.nchar = 50
tasks.polyselect.P = 300000
tasks.polyselect.admax = 20e4
tasks.polyselect.admin = 12600
tasks.polyselect.adrange = 840
tasks.polyselect.degree = 5
tasks.polyselect.incr = 60
tasks.polyselect.nq = 15625
tasks.polyselect.nrkeep = 100
tasks.polyselect.threads = 2
tasks.sieve.lambda0 = 1.81
tasks.sieve.lambda1 = 1.79
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 58
tasks.sieve.ncurves0 = 19
tasks.sieve.ncurves1 = 22
tasks.sieve.qrange = 5000
tasks.sieve.rels_wanted = 85000000
tasks.sieve.las.threads = 2
tasks.sqrt.threads = 2
PID6783 2020-04-06 00:18:23,656 Info:Polynomial Selection (root optimized): Best polynomial is:
n: 7581282748221451236797528576066774153124838938435893523393291759612352781171701223566248388152868525213993688711999746670220329336908654854899129
skew: 410187.307
c0: -762255805153266226221874730688537
c1: 24891924555066856172631570955
c2: -47171882673735510084870
c3: -606282663156545455
c4: 176992184967
c5: 172260
Y0: -10422190143616280071954592350
Y1: 1374394463765014466039
# MurphyE (Bf=2.147e+09,Bg=1.074e+09,area=1.342e+13) = 2.664e-06
PID6783 2020-04-06 05:15:50,557 Info:Square Root: Factors: 8121251771120400901115775297326576471653745720674301 933511601645068072691011233355614254384578046289704991225112085263511337488777899852182424429
PID6783 2020-04-06 05:15:50,557 Debug:Square Root: Exit SqrtTask.run(sqrt)
PID6783 2020-04-06 05:15:50,557 Info:Polynomial Selection (size optimized): Aggregate statistics:
PID6783 2020-04-06 05:15:50,557 Info:Polynomial Selection (size optimized): potential collisions: 144726
PID6783 2020-04-06 05:15:50,557 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 146935/42.860/52.769/62.570/1.213
PID6783 2020-04-06 05:15:50,558 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 121762/42.280/46.679/53.140/1.001
PID6783 2020-04-06 05:15:50,558 Info:Polynomial Selection (size optimized): Total time: 62958.4
PID6783 2020-04-06 05:15:50,558 Info:Polynomial Selection (root optimized): Aggregate statistics:
PID6783 2020-04-06 05:15:50,558 Info:Polynomial Selection (root optimized): Total time: 1878.05
PID6783 2020-04-06 05:15:50,558 Info:Polynomial Selection (root optimized): Rootsieve time: 1876.2
PID6783 2020-04-06 05:15:50,558 Info:Generate Factor Base: Total cpu/real time for makefb: 14.47/2.87411
PID6783 2020-04-06 05:15:50,558 Info:Generate Free Relations: Total cpu/real time for freerel: 1334.85/224.432
PID6783 2020-04-06 05:15:50,559 Info:Lattice Sieving: Aggregate statistics:
PID6783 2020-04-06 05:15:50,559 Info:Lattice Sieving: Total number of relations: 94196406
PID6783 2020-04-06 05:15:50,559 Info:Lattice Sieving: Average J: 7879.76 for 546026 special-q, max bucket fill -bkmult 1.0,1s:1.084700
PID6783 2020-04-06 05:15:50,559 Info:Lattice Sieving: Total time: 525041s
PID6783 2020-04-06 05:15:50,559 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 270.46/322.09
PID6783 2020-04-06 05:15:50,559 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
PID6783 2020-04-06 05:15:50,559 Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 321.6s
PID6783 2020-04-06 05:15:50,560 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1029.03/452.978
PID6783 2020-04-06 05:15:50,560 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
PID6783 2020-04-06 05:15:50,560 Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 358.20000000000005s
PID6783 2020-04-06 05:15:50,560 Info:Filtering - Singleton removal: Total cpu/real time for purge: 411.09/234.505
PID6783 2020-04-06 05:15:50,560 Info:Filtering - Merging: Total cpu/real time for merge: 150.67/35.1658
PID6783 2020-04-06 05:15:50,560 Info:Filtering - Merging: Total cpu/real time for replay: 55.69/56.5813
PID6783 2020-04-06 05:15:50,560 Info:Linear Algebra: Total cpu/real time for bwc: 43291.5/7580.51
PID6783 2020-04-06 05:15:50,561 Info:Linear Algebra: Aggregate statistics:
PID6783 2020-04-06 05:15:50,561 Info:Linear Algebra: Krylov: WCT time 4776.97, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (70144 iterations)
PID6783 2020-04-06 05:15:50,561 Info:Linear Algebra: Lingen CPU time 277.41, WCT time 52.12
PID6783 2020-04-06 05:15:50,561 Info:Linear Algebra: Mksol: WCT time 2636.73, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (34304 iterations)
PID6783 2020-04-06 05:15:50,561 Info:Quadratic Characters: Total cpu/real time for characters: 72.35/22.1363
PID6783 2020-04-06 05:15:50,561 Info:Square Root: Total cpu/real time for sqrt: 628.38/141.423
PID6783 2020-04-06 05:15:50,561 Info:HTTP server: Shutting down HTTP server
PID6783 2020-04-06 05:15:50,855 Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.18958e+06/18849.1

CADO-NFS