is 2 6736823 - 1
has 2027986 decimal digits
takes 1.469 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2674.410765.6716 %2770003831804906.68368.7854 %11.094368.6875 %
Target2674.410765.6716 %4000045000000.08952.1659 %4.500166.4151 %
Difference---+237000+378680490+6.5941+6.6196%+6.5941+2.2724 %

Known prime factors (1 factor, 36.7 bits, 0.00054465% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
67368231110363166871236.6928241
3 × 41 × 67
-41672.424e-91.341e-52.638e-5

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2023-12-22Stef42128G277000383180490
skipped known factor: 111036316687
--6.2148.785%


Trial Factoring results:
5758596061626364656667
No TF results for M6736823


ECM factoring results:
No ECM results for M6736823


Lucas-Lehmer results:
No L-L results for M6736823


PRP results:
dateuseridcompidcofactorsres64
2018-01-04ATHec2-1xh
111036316687
626D8341D8CFD88B
2018-12-07kkmrkkblmbrbkc5.large
111036316687
626D8341D8CFD88B


CERT results:
No CERT results for M6736823


P-1 factor-bounds graph:
B1 = 277000, B2 = 383180490 (P-1 stage 2)
B1 = 277000 (P-1 stage 1)
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TF factor-bounds graph:
this exponent TF target: 67
TF double-checked to: 67
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Last modified: 2024-03-13T02:15:48+00:00