is 2 5423741 - 1
has 1632709 decimal digits
takes 0.856 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LB7E668B59B186D3Edouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2675.478565.6716%5000050000000.07323.2091%5.551766.7733%1.1016%
PrimeNet2620.113362.9032%240005500000.01213.1540%0.125364.0733%1.1700%
GPU722662.722965.1515%320006500000.01502.0771%2.738065.8753%0.7238%
Difference+1+2.7556+0.5201%+18000+4350000+0.0582+1.1321%+2.8137+0.8979%+0.8979%

Known prime factors (1 factor, 84.2 bits, 0.00155237% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
5423741221651026886327959167691132684.1962043340812976946716
22 × 73 × 6997742510195023
2015-04-05736997742510195023987,53287,299,754163,051,628

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-06-23T00:00:00ANONYMOUSv4_computers25000218750---0.008--1.240%
2010-10-23T11:18:00Squeeky_SquirrelP4_260060000960000---0.025--2.325%
unknown500005000000---0.073--3.209%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-05-23T00:00:00ANONYMOUSv4_computers21262--0.113--
2009-05-13T02:04:00GrunwalderGIMPManual testing262263--0.181--
2014-12-31T21:23:00NesowaManual testing263264--0.362--
2015-01-01T13:48:00monstManual testing264265--0.689--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.720 GHz-days
Estimated T-Level:0.150
DigitsB1CurvesCompleteFacMiss
20110003 / 1000.03097.030%
25500003 / 2800.01198.932%

New Calculation Method

Total ECM effort:0.720 GHz-days
Estimated T-Level:0.150
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50000500000030.720


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-10-04T00:00:00ANONYMOUSv4_computersB7E668B59B186D3E0.856
1998-10-18T00:00:00ANONYMOUSv4_computersB7E668B59B186D3E0.856
1998-11-07T00:00:00ANONYMOUSv4_computersB7E668B59B186D3E0.856
1998-11-14T00:00:00ANONYMOUSv4_computersB7E668B59B186D3E0.856
2000-07-25T00:00:00ANONYMOUSv4_computersB7E668B59B186D3E0.856


PRP results:
dateuseridcompidcofactorsres64PRP
2017-12-02T14:46:23Oliver KruseGTX-3
22165102688632795916769113
480464FC424528__no
2018-03-04T23:06:26kkmrkkblmbrbkc5.xlarge
22165102688632795916769113
480464FC424528__no


P-1 factor-bounds graph:
B1 = 50000, B2 = 5000000 (P-1 stage 2)
B1 = 60000, B2 = 960000 (P-1 stage 2)
B1 = 60000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 25000, B2 = 218750 (P-1 stage 2)
B1 = 25000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2018-03-04T23:06:26+00:00