is 2 16776731 - 1
has 5050300 decimal digits
takes 9.174 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
Actual2671.771164.1791 %5000005000000.39642.7584 %2.167665.1672 %
Target2697.116265.2174 %120000160000000.78113.2891 %7.897366.3614 %
Difference-2-5.3451-1.0383 %+380000-15500000-0.3847-0.5307 %-5.7298-1.1943 %

Known prime factors (4 factors, 171.0 bits, 0.00101903% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1677673133553463825.0001
1
-111.333e-137.929e-71.614e-6
16776731271111972971134.658808
23 × 101
2008-09-0881011.603e-101.036e-51.291e-5
167767312820050372913771548.0038404648
23 × 7 × 150083
2014-03-2581500832.655e-60.00650.0121
16776731113458591987163821032063.299338142728721
3 × 7 × 47 × 109 × 3143087
2017-01-2310931430870.19140.13590.2536

11 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2024-02-09nordisweet16_30.19b6500000500000
skipped known factor: 33553463
skipped known factor: 27111197297
skipped known factor: 282005037291377
--0.4132.198%


Trial Factoring results:
57585960616263646566676869
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-09-08Will EdgingtonManual testing??
34.658
11
2014-03-25TJAOIManual testing??
48.003
15
2017-01-23TJAOIManual testing263264*
63.299
20
0.035


ECM factoring results:
No ECM results for M16776731


Lucas-Lehmer results:
No L-L results for M16776731


PRP results:
No PRP results for M16776731


CERT results:
No CERT results for M16776731


P-1 factor-bounds graph:
B1 = 500000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
TF factor-bounds graph:
this exponent TF target: 69
TF double-checked to: 67
250
260
270
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Last modified: 2024-03-13T02:15:48+00:00