is 2 2136649 - 1
has 643196 decimal digits
takes 0.140 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26713.906867.1642%500000150000000.12305.1639%14.029868.8598%1.6956%
PrimeNet2580.018062.0690%90001700000.00172.7305%0.019763.1047%1.0357%
GPU722620.287564.5161%100001500000.00171.4871%0.289265.0438%0.5277%
Difference+5+13.6192+2.6481%+490000+14850000+0.1213+3.6768%+13.7406+3.8160%+3.8160%

Known prime factors (5 factors, 246.4 bits, 0.01153308% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
213664985124096171032.9871992
23 × 3 × 83
-8833.832e-101.152e-61.552e-6
2136649433953411911135.33710155
3 × 5 × 677
2008-07-1456772.567e-93.967e-66.581e-6
2136649478873423083431445.44511206179
32 × 17 × 73243
2014-01-2117732433.466e-60.00040.0007
2136649365171210056840019932064.9858545418785604
22 × 181 × 293 × 5657 × 7121
2016-03-25565771213.06780.00050.0011
21366492344311864390794557192167.66854859545587291
41 × 1338037697251
2022-01-1941133803769725124.1146,950.112,981

26 Composite Factors:
exponentprime factorscomposite factordigitsbits*
21366493693989196872646338472168.324
21366494076366731981099325346312478.432
213664920780875582007540108565132580.782
21366493108486920339372102282603666813097.972
2136649158467292535469031681655899366331100.322
2136649199557428596873994348954124962331100.655
21366491017322132133478531688458122132932103.005
2136649174870787371437238962309483252759934110.430
21366491122628647275917538137468551276361735113.112
21366491768953251539614565866630366828552135113.768
2136649856075200270193094404594719839215124796740132.653
21366491348938504958878898892605360250476325707141133.309
21366498659862701159967380807870166745858512099341135.991
21366491488571772152984504054690345771093814551958344143.417
21366497588577482322333032812418815088416352903040944145.767
21366499556274893391221304140351563919958959850468944146.099
213664948716853179329234285056202443670194504624784745148.449
21366497287262767655192695256660982146755522051284249863950165.640
213664937149675400878684719139460865499797002200441010869
7
51167.990
213664940995166157022024594703263028330629392095362596588
8681
54178.098
213664964597079939870275202389210478590380067751911225704
3353
54178.754
213664941469780951369919953735853706699706447742856825683
44599
55181.436
213664931623325415086804605351369063567561551307880422256
84358139049
61200.977
213664934896764664554721424076258346364219309293542834830
51722095845177
64211.085
213664917789992225657070377887415905154235616257511782878
336239519959071
65213.434
213664915143570090803848002877466329431367512811436484906
4365346249315059426785807
75246.421
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-25T12:23:24alpertronManual testing50000015000000122064.9850.0480.2810.0955.164%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2014-01-21T11:39:00TJAOIManual testing??45.445141.27207e-60.3042.74830e-6


ECM factoring results:

Old Calculation Method

Total ECM effort:1.791 GHz-days
Estimated T-Level:1.000
DigitsB1CurvesCompleteFacMiss
201100020 / 1000.20081.791%
255000020 / 2800.07193.094%

New Calculation Method

Total ECM effort:1.791 GHz-days
Estimated T-Level:1.000
DigitsB1CompleteFacMiss
20110000.66151.647%
25500000.06094.171%
302500000.00499.630%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50000500000060.512
50000500000070.597
50000675000070.682


Lucas-Lehmer results:
No L-L results for M2136649


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-08T16:21:38Oliver KruseGTX-2
8512409617
43395341191
47887342308343
36517121005684001993
DC57603B20C48EFDno
2017-10-17T23:48:07Oliver KruseGTX-2
8512409617
43395341191
47887342308343
36517121005684001993
BE5DF58CD8173F__no
2017-11-18T08:57:54kkmrkkblmbrbkold
8512409617
43395341191
47887342308343
36517121005684001993
BE5DF58CD8173F__no
2022-01-19T23:39:16MarkSdesktop-i7
8512409617
43395341191
47887342308343
36517121005684001993
234431186439079455719
BE5DF58CD8173F4Fno


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
TF factor-bounds graph:
267
2
230
240
250
260
270
280
290
2100
Last modified: 2022-05-18T20:25:37+00:00