is 2 5843113 - 1
has 1758953 decimal digits
takes 1.036 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L8263E89274ABBBA6double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2675.085365.6716%6500010887500.03102.4677%5.116366.5188%0.8471%
PrimeNet2620.105162.9032%240005500000.01353.1931%0.118764.0878%1.1846%
GPU722662.527565.1515%360008000000.01992.2810%2.547465.9464%0.7949%
Difference+1+2.5578+0.5201%+29000+288750+0.0111+0.1866%+2.5689+0.5723%+0.5723%

Known prime factors (1 factor, 73.1 bits, 0.00125099% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
5843113101003449752508049230572373.097864294852354456
23 × 3 × 36012285514769
2011-05-16836012285514769631.80504,192941,690

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-09-29T00:00:00ANONYMOUSv4_computers2000020000---0.005--0.381%
2011-02-27T16:37:00harleeP4_2600650001088750---0.031--2.468%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-08-30T00:00:00ANONYMOUSv4_computers21262--0.105--
2009-03-24T02:41:00GrunwalderGIMPManual testing262263--0.168--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.000 GHz-days
DigitsB1CurvesCompleteFacMiss

New Calculation Method

Total ECM effort:0.000 GHz-days
DigitsB1CompleteFacMiss


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-09-27T00:00:00ANONYMOUSv4_computers8263E89274ABBBA61.036
2000-10-22T00:00:00ANONYMOUSv4_computers8263E89274ABBBA61.036


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-20T19:15:40kkmrkkblmbrbkManual testing
10100344975250804923057
7496202D819B37__no
2018-08-24T21:23:50ATHec2-PRPCFDC
10100344975250804923057
7496202D819B37__no


P-1 factor-bounds graph:
B1 = 65000, B2 = 1088750 (P-1 stage 2)
B1 = 65000 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
100
101
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103
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105
100
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109
1010
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1014
TF factor-bounds graph:
267
263
262
250
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270
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2100
Last modified: 2018-08-24T21:23:50+00:00