is 2 2211667 - 1
has 665779 decimal digits
takes 0.145 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
Actual26713.435167.1642 %500000150000000.12305.1854 %13.558168.8668 %
Target2620.277864.5161 %110008500000.00541.6017 %0.283265.0845 %
Difference+5+13.1573+2.6481 %+489000+14150000+0.1176+3.5836%+13.2749+3.7824 %

Known prime factors (2 factors, 98.4 bits, 0.00444728% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
221166739810007825.2479
32
-992.025e-128.580e-71.746e-6
2211667102096486211804999056072373.1122308134231143409
3 × 243301 × 3162247903
2023-01-072433013162247903990.1416.44730.678

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-04-20alpertronManual testing5000001500000012
skipped known factor: 39810007
---8.276%


Trial Factoring results:
5758596061626364656667
No TF results for M2211667


ECM factoring results:
Total ECM effort:8.286 GHz-days
Estimated T-Level:21.633
DigitsB1CompleteFacMiss
20110003.5092.992%
25500000.32772.143%
302500000.02197.946%


ECM Summary

B1B2factorcurvesGHz-days
50000500000060.514
50000590000080.721
50000661716870.680
50000678635370.688
50000690000070.694
500007000000504.989


Lucas-Lehmer results:
No L-L results for M2211667


PRP results:
dateuseridcompidcofactorsres64
2017-10-09Oliver KruseGTX-2
39810007
B2EA6EA6A52EED3B
2017-11-20kkmrkkblmbrbkc4.xlarge
39810007
B2EA6EA6A52EED3B
2023-01-07LordJuliusWhitebox
39810007
10209648621180499905607
E4ADD6D9990FC0C4


CERT results:
dateuseridcompid
2023-01-07tomfrR1


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (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: 62
TF double-checked to: 67
ECM T-Level=21.63 ~= 55-bit
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280
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00