is 2 6978287 - 1
has 2100674 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 %812000206877132035.880212.0805 %40.138369.8187 %
Target2674.258165.6716 %4500045000000.09102.2394 %4.349066.4404 %
Difference---+767000+2064271320+35.7892+9.8411%+35.7892+3.3783 %

Known prime factors (3 factors, 111.1 bits, 0.00159250% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
6978287125609167926.9049
32
-991.281e-122.846e-65.791e-6
6978287209906872971134.2891504
25 × 47
2008-09-0832473.280e-101.038e-52.059e-5
697828710771550946615531649.93677179048
23 × 17 × 567493
2014-05-16175674931.075e-50.00980.0183

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2024-01-03Stef42Manual testing8120002068771320
skipped known factor: 125609167
skipped known factor: 20990687297
skipped known factor: 1077155094661553
--33.3612.081%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-09-08Will EdgingtonManual testing??
34.289
11
2014-05-16TJAOIManual testing??
49.936
16


ECM factoring results:
No ECM results for M6978287


Lucas-Lehmer results:
No L-L results for M6978287


PRP results:
dateuseridcompidcofactorsres64
2018-01-25_p95holder_TFL16_PRPt11-E_b
125609167
20990687297
1077155094661553
74EEC1AAFC843D1E
2019-02-23Yizhe Huangvm
125609167
20990687297
1077155094661553
74EEC1AAFC843D1E


CERT results:
No CERT results for M6978287


P-1 factor-bounds graph:
B1 = 812000, B2 = 2068771320 (P-1 stage 2)
B1 = 812000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
this exponent TF target: 67
TF double-checked to: 67
250
260
270
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Last modified: 2024-03-13T02:15:48+00:00