is 2 8582461 - 1
has 2583579 decimal digits
takes 2.241 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LA0AED0437E06AC3Cdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2673.462264.1791 %350001925000.01651.4008 %3.478764.6809 %
Target2686.945064.7059 %5500060000000.14352.2919 %7.088465.5148 %
Difference-1-3.4828-0.5268 %-20000-5807500-0.1270-0.8911 %-3.6098-0.8339 %

Known prime factors (1 factor, 65.1 bits, 0.00075876% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
8582461401064428020282411432065.1202336535103511
7 × 17 × 229 × 8269 × 10369
2012-07-138269103691.63240.00320.0064

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-11-02ANONYMOUSv4_computers35000192500--0.0171.217%
2012-07-13NesowaWork2065.1200.0380.000%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-10-11ANONYMOUSv4_computers212620.036
1998-10-25Sturle Sundev4_computers212630.114
1999-10-15ANONYMOUSv4_computers212640.229


ECM factoring results:
No ECM results for M8582461


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-02-23ANONYMOUSv4_computersA0AED0437E06AC3C2.241
2002-12-09ANONYMOUSv4_computersA0AED0437E06AC3C2.241


PRP results:
dateuseridcompidcofactorsres64
2018-11-28GunnarLuRibenboim
40106442802028241143
7E13621242001CE1
2020-07-22pewlaptop
40106442802028241143
7E13621242001CE1


CERT results:
No CERT results for M8582461


P-1 factor-bounds graph:
B1 = 35000, B2 = 192500 (P-1 stage 2)
B1 = 35000 (P-1 stage 1)
102
103
104
105
102
103
104
105
106
TF factor-bounds graph:
264
263
262
this exponent TF target: 68
TF double-checked to: 67
250
260
270
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Last modified: 2024-03-13T02:15:48+00:00