is 2 1334651 - 1
has 401770 decimal digits
takes 0.051 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L1220684BBD5B6C82double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26722.263468.6567%500000150000000.07144.8789%22.334970.1859%1.5292%
PrimeNet2560.007262.5000%60001000000.00062.6071%0.007863.4777%0.9777%
GPU722600.115165.0000%5500400000.00040.9791%0.115565.3427%0.3427%
Difference+7+22.1484+3.6567%+494500+14960000+0.0710+3.8998%+22.2194+4.8432%+4.8432%

Known prime factors (2 factors, 139.0 bits, 0.01041138% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1334651541911699898108180332065.55520301625664616
23 × 3 × 41 × 20631733399
2009-04-1241206317333997.691462.231116.23
1334651124699447259802988435992373.4014671612551138949
32 × 13 × 39928312402897
2018-08-2413399283124028972,255.1120,434224,938

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
133465167576089440914325535283160345553011582076742138.956
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-09-21T00:00:00Team Prime Ribv4_computers15000213750---0.001--0.791%
2016-03-17T19:05:09alpertronManual testing5000001500000012---0.071--4.879%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-11-03T00:00:00ANONYMOUSv4_computers21257--0.014--
2003-06-23T00:00:00ANONYMOUSv4_computers21258--0.029--
2022-03-07T17:32:34LordJuliusManual testing258260--0.086--
2009-02-24T04:24:00Sturle Sundejodel.ifi260261--0.115--


ECM factoring results:

Old Calculation Method

Total ECM effort:25.106 GHz-days
Estimated T-Level:25.391
DigitsB1CurvesCompleteFacMiss
2011000300 / 1003.0004.904%
2550000300 / 2801.07134.186%
3025000050 / 6400.07892.479%

New Calculation Method

Total ECM effort:25.106 GHz-days
Estimated T-Level:25.391
DigitsB1CompleteFacMiss
201100014.6150.000%
25500001.64719.258%
302500000.14186.886%
3510000000.01099.022%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
500005000000924.294
5000050000001587.375
250000350000005013.44


Lucas-Lehmer results:
No L-L results for M1334651


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-30T05:09:19Oliver KruseGTX-0
54191169989810818033
8F4D638B87AD63__no
2017-10-24T00:31:35kkmrkkblmbrbkc4.xlarge
54191169989810818033
8F4D638B87AD63__no
2018-08-27T11:45:12ANONYMOUSdory
54191169989810818033
12469944725980298843599
6DE7C4027E7236__no
2018-08-28T13:32:38Oliver KruseGTX-4
54191169989810818033
12469944725980298843599
6DE7C4027E7236__no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 15000, B2 = 213750 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-03-07T17:32:34+00:00