is 2 12731681 - 1
has 3832618 decimal digits
takes 5.201 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRPB6179F3864590F05verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2672.333964.1791%40000042845985014.05019.9903%16.384067.7577%3.5786%
PrimeNet2640.279662.5000%5500017000000.08574.2614%0.365264.0980%1.5980%
GPU722684.681664.7059%9000024000000.12783.1591%4.809565.8209%1.1150%
Difference-1-2.3478-0.5268%+310000+426059850+13.9223+6.8312%+11.5745+1.9368%+1.9368%

Known prime factors (6 factors, 330.0 bits, 0.00259182% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
12731681101853449926.6024
22
-447.028e-132.369e-64.822e-6
12731681407413793928.60216
24
2008-09-0816162.819e-129.477e-61.929e-5
1273168131574568891031.556124
22 × 31
2008-09-084312.307e-113.240e-64.822e-6
1273168145834051611032.094180
22 × 32 × 5
2008-09-08994.669e-115.331e-61.085e-5
127316817281784416305121431859.33728597105191
3 × 73 × 130580389
2015-11-12731305803890.00974.21387.8701
12731681494261451597373579291630224366218857687730203946151.792194106909997734619368656120258675526699
3 × 41 × 281 × 1321 × 3037 × 4759 × 10103 × 25391 × 35327 × 78857 × 411613
2022-05-05788574116131.117e+100.05740.0951

57 Composite Factors:
exponentprime factorscomposite factordigitsbits*
12731681414964999872220571755.204
127316813215978742134601611858.158
127316814668356238122502891858.696
1273168112863914873814699771960.158
1273168118673424814987856731960.696
12731681144719042006776041292063.650
12731681741674857675128454009312072685.939
127316811310234097540426958474006732786.760
127316811901952722048700101068361772787.298
127316812966699408855160567121883992787.939
1273168114740133564366021175952909212890.252
1273168122991920369475449585135031272890.893
1273168133375368274982266112993700232891.431
1273168158960533823306958683483512972892.252
127316813021685669381592452101598877593815135114.541
1273168123418063887644288610716220655723502336117.495
1273168133993963704521242174442320836975932736118.033
1273168160053337247849703276132951306307335336118.854
1273168193672254860819543358601395068843071136119.495
12731681135975853816823920448301299958092723937120.033
127316811053812864827548024913032112048143844738122.987
127316819540842233181485457678595903973259231287223944146.097
1273168113849609691963330523361113591915299391019731145146.635
12731681107334474883256556550530245659857904630815370346149.589
12731681429337896371587631719476907900335282378829947146151.589
1273168143729545531850785896370523545504496766672754696622
5479
54178.191
1273168150342233552939058392327515184343229744335486248688
2511
54178.394
1273168120136893272897187877718932286248224587868537193156
23927
55180.394
1273168115606092253132672622409455919657333910878343430774
296671
56183.348
1273168122654004881347537573703006944637154663814671429308
423279
56183.886
1273168120510120319894768077466635059518369444010140717077
4216551874223
63206.996
1273168115895343213937437611802777756305663569676178978308
54856490568279
64209.950
1273168123073885308280824695387429589822462560559597818768
22595718039271
64210.488
1273168135991053358221029971211996977821965558456771347221
69155668159577
64211.129
1273168163581372387566982853230932352938976688984698586883
89133639383103
64211.950
1273168192295540553503152341123591148199641903123751360632
76094946887247
64212.488
1273168171529043776050410115274904517359425598620113323741
357588006519031
65215.442
1273168136658129176778444069003126023687437000880332791189
0585266219952399831073
72237.731
1273168164759820698270619221254312536325200623036918592995
5049515293091272872247
72238.552
1273168194006191326936650983158622937100036683980779498988
8952509591937921064903
72239.090
1273168114663251562738217552938160495838983866886236441105
30936898372342594845561
73239.731
1273168172854798122627178681052366082387378698783481827939
10854280784997791487919
73242.044
1273168111364019936828157586727879153707114536807006489898
294101587743854349975953
74242.685
1273168116496157971189665054878874837326559947979501298825
282409204455008593376897
74243.223
1273168129141919034463740144269716087130237927435115935315
303445899067227146394583
74244.044
1273168114935027452195273418790917302167506554977200721560
6113144300585579494630010189889
81266.333
1273168111574646250707099705237511162602707514118310583615
24913463068087694098703880111897
82269.287
1273168116801905846145100189941876794210240700069727885853
34661776503088790560075516367753
82269.825
1273168129682049641388817991336281697249992450998782817267
24558446404902967726716193466767
82270.646
1273168146298584661907800716105317048574455445259806230250
80184157390046013163252470519729
82271.287
1273168167207622889695661624077555530474717680482113104028
34750630165127548875276285340321
82271.825
1273168152085907628165071453129866415685501050419358006760
335550313123476373712083206093433
83274.779
1273168147156705316338084229399963886358088203965419656227
3230257985335024709376664180205221195321
90297.889
1273168168453281904068496967492404742678746030583832024533
8298728737241680377862960489819832617129
90298.427
1273168153051293362240220688327187393468359812783345093543
05492196704656031532588607515593967300417
91301.381
1273168121220517188638365390835660597997744678056834886159
147948505811973186759925308926126250921369
92303.381
1273168121613828652266011287788450240994727896814832511788
31581456591346014567019527696516444865780860451681
100329.983
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-05-04T13:47:43nordisweet16_30.8b14400000400000-
skipped known factor: 101853449
skipped known factor: 407413793
skipped known factor: 3157456889
skipped known factor: 4583405161
--0.237--2.426%
2022-05-05T00:03:28nordisweet16_30.8b1440000042845985046151.79214.0510.4028.109.990%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-08T08:37:00Will EdgingtonManual testing??31.556106.03097e-1310.861.25988e-12
2008-09-08T08:37:00Will EdgingtonManual testing??28.60299.72738e-1510.862.03207e-14
2008-09-08T08:37:00Will EdgingtonManual testing??32.094101.75093e-1210.863.65772e-12
2015-11-12T11:51:35TJAOIManual testing259260*59.337180.00410.850.008


ECM factoring results:
No ECM results for M12731681


Lucas-Lehmer results:
No L-L results for M12731681


PRP results:
dateuseridcompidcofactorsres64PRP
2022-05-05T17:18:06XZT7060Micro2
101853449
407413793
3157456889
4583405161
728178441630512143
B6179F3864590F05no
2022-05-16T05:12:24FlaukrotistLenovo
101853449
407413793
3157456889
4583405161
728178441630512143
4942614515973735792916302243662188576877302039
B6179F3864590F05no


P-1 factor-bounds graph:
B1 = 400000, B2 = 428459850 (P-1 stage 2)
B1 = 400000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
267
260
2
220
230
240
250
260
270
280
290
2100
2110
2120
2130
2140
2150
2160
Last modified: 2022-05-16T05:12:24+00:00