is 2 5578189 - 1
has 1679203 decimal digits
takes 0.881 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L67C69A6AF5E818CBdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2675.326865.6716%5000050000000.07323.2231%5.400066.7781%1.1064%
PrimeNet2620.110162.9032%240005500000.01213.1687%0.122264.0787%1.1755%
GPU722662.647565.1515%360007000000.01652.1885%2.664165.9142%0.7626%
Difference+1+2.6793+0.5201%+14000+4300000+0.0567+1.0346%+2.7359+0.8639%+0.3438%

Known prime factors (1 factor, 68.1 bits, 0.00121994% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
55781893056186353613983236472168.05027394073180507
11 × 157 × 449 × 35327909
2015-07-214493532790914.6910.44080.8232

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-08-01T00:00:00ANONYMOUSv4_computers25000225000---0.008--1.258%
2010-12-04T13:36:00Squeeky_SquirrelP4_2600650001023750---0.027--2.412%
unknown500005000000---0.073--3.223%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2009-04-20T00:59:00GrunwalderGIMPManual testing262263--0.176--
2014-12-20T11:22:00NesowaManual testing263264--0.352--
2014-12-21T01:09:00monstManual testing264265--0.670--


ECM factoring results:
Total ECM effort:0.720 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50000500000030.720


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-12-01T00:00:00ANONYMOUSv4_computers67C69A6AF5E818CB0.881
2000-10-07T00:00:00ANONYMOUSv4_computers67C69A6AF5E818CB0.881


PRP results:
dateuseridcompidcofactorsres64PRP
2017-12-08T05:38:48Oliver KruseThreadripper
305618635361398323647
2A9627E75D5BE1__no
2018-04-04T00:07:36kkmrkkblmbrbkc5.xlarge
305618635361398323647
2A9627E75D5BE1__no


P-1 factor-bounds graph:
B1 = 50000, B2 = 5000000 (P-1 stage 2)
B1 = 65000, B2 = 1023750 (P-1 stage 2)
B1 = 65000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 25000, B2 = 225000 (P-1 stage 2)
B1 = 25000 (P-1 stage 1)
101
102
103
104
105
101
102
103
104
105
106
107
108
TF factor-bounds graph:
267
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264
263
250
260
270
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290
2100
Last modified: 2018-04-04T00:07:36+00:00