is 2 6978253 - 1
has 2100664 decimal digits
takes 1.522 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
Actual2674.258165.6716 %600000128047689022.237411.1309 %26.495469.4927 %
Target2674.258165.6716 %4500045000000.09102.2394 %4.349066.4404 %
Difference---+555000+1275976890+22.1464+8.8915%+22.1464+3.0523 %

Known prime factors (1 factor, 43.6 bits, 0.00062442% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
6978253130907978893271443.574937971
32 × 89 × 1171
1999-07-278911711.679e-74.678e-55.727e-5

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2024-01-01Stef42Manual testing6000001280476890
skipped known factor: 13090797889327
--20.6811.131%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-07-27ANONYMOUSv4_computers??
43.574
14


ECM factoring results:
No ECM results for M6978253


Lucas-Lehmer results:
No L-L results for M6978253


PRP results:
dateuseridcompidcofactorsres64
2018-01-25_p95holder_TFL16_PRPt11-E_b
13090797889327
887940604D111DBD
2019-02-17ATHec2-PRPCFDC
13090797889327
887940604D111DBD


CERT results:
No CERT results for M6978253


P-1 factor-bounds graph:
B1 = 600000, B2 = 1280476890 (P-1 stage 2)
B1 = 600000 (P-1 stage 1)
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1010
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