is 2 16931429 - 1
has 5096868 decimal digits
takes 9.642 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L19B89CE8195B9D38double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2671.755062.6866%22000053350000.41184.9542%2.166764.5351%1.8486%
PrimeNet2650.430961.5385%8000024000000.17044.5276%0.601363.2798%1.7414%
GPU722697.051263.7681%12000032000000.23763.2934%7.288864.9614%1.1933%
Difference-2-5.2962-1.0815%+100000+2135000+0.1741+1.6608%-5.1221-0.4262%-0.4262%

Known prime factors (1 factor, 78.1 bits, 0.00046136% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
169314293274178157978520513703212478.1159668936266332040
23 × 5 × 29 × 5417 × 6679 × 230383
2017-10-0766792303836,933.70.01560.0194

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-14T00:00:00ANONYMOUSv4_computers2200005335000---0.412--4.954%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-12-14T00:00:00ANONYMOUSv4_computers21256--0.001--
2000-12-31T00:00:00ANONYMOUSv4_computers21258--0.002--
2001-05-20T00:00:00Net_Forcev4_computers21259--0.005--
2002-01-08T00:00:00Team Prime Ribv4_computers21265--0.431--
2016-03-17T13:00:16Mark RoseManual testing265266--0.441--
2014-09-21T13:07:00NesowaManual testing266267--0.883--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.866 GHz-days
Estimated T-Level:0.050
DigitsB1CurvesCompleteFacMiss
20110001 / 1000.01099.000%
25500001 / 2800.00499.643%

New Calculation Method

Total ECM effort:0.866 GHz-days
Estimated T-Level:0.050
DigitsB1CompleteFacMiss
20110000.03896.227%
25500000.00499.645%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010.866


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2003-11-08T00:00:00ANONYMOUSv4_computers19B89CE8195B9D389.64
2006-04-28T00:00:00ANONYMOUSv4_computers19B89CE8195B9D389.64


PRP results:
No PRP results for M16931429


P-1 factor-bounds graph:
B1 = 220000, B2 = 5335000 (P-1 stage 2)
B1 = 220000 (P-1 stage 1)
102
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105
106
102
103
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105
106
107
TF factor-bounds graph:
267
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265
259
258
256
250
260
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2100
Last modified: 2017-10-07T20:18:12+00:00