is 2 6816853 - 1
has 2052078 decimal digits
takes 1.486 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L323393F2A6220A9Cdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2674.358965.6716 %54600087586422015.251210.5501 %19.610169.2933 %
Target2674.358965.6716 %4000045000000.08952.1702 %4.448466.4166 %
Difference---+506000+871364220+15.1617+8.3799%+15.1617+2.8767 %

Known prime factors (1 factor, 77.4 bits, 0.00113508% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
68168531961853427440219446951212477.37714389729596928520
23 × 5 × 29 × 7607 × 17027 × 95773
2009-06-2117027957735,675.80.00670.0110

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-06-21Carsten Kossendeymother2477.3770.0200.000%
2023-12-28Stef42128G546000875864220
skipped known factor: 196185342744021944695121
--14.1810.550%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-07-11ANONYMOUSv4_computers212620.045


ECM factoring results:
No ECM results for M6816853


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-01-14ANONYMOUSv4_computers323393F2A6220A9C1.486
2001-11-24ANONYMOUSv4_computers323393F2A6220A9C1.486


PRP results:
dateuseridcompidcofactorsres64
2018-01-09ATHec2-8x
196185342744021944695121
2410D6C627C66F36
2018-12-26Oliver KruseGTX-7
196185342744021944695121
2410D6C627C66F36


CERT results:
No CERT results for M6816853


P-1 factor-bounds graph:
B1 = 546000, B2 = 875864220 (P-1 stage 2)
B1 = 546000 (P-1 stage 1)
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106
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105
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107
108
109
TF factor-bounds graph:
262
this exponent TF target: 67
TF double-checked to: 67
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Last modified: 2024-03-13T02:15:48+00:00