is 2 16335941 - 1
has 4917609 decimal digits
takes 8.933 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LA94CD88516CB5DB2double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2671.818964.1791 %50000025655994011.45769.9025 %13.276567.7263 %
Target2697.308265.2174 %110000150000000.73043.1821 %8.038766.3242 %
Difference-2-5.4893-1.0383 %+390000+241559940+10.7272+6.7204%+5.2379+1.4021 %

Known prime factors (1 factor, 70.9 bits, 0.00043413% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1633594122332091732228541958012270.92068352633411900
22 × 3 × 52 × 7177 × 31746149
2017-03-0471773174614928.5051.37672.5613

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-08-31ari.ornv4_computers2050005227500--0.3793.955%
2023-12-17nordisweet16_30.8b14500000500000--0.4132.189%
2024-01-26nordisweet16_30.8b14500000256559940
skipped known factor: 2233209173222854195801
--12.758.363%


Trial Factoring results:
57585960616263646566676869
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-06-03TMarshallv4_computers212650.229
2016-03-16Mark RoseManual testing265266
2014-08-18NesowaManual testing2662670.915


ECM factoring results:
Total ECM effort:0.831 GHz-days
Estimated T-Level:0.192
DigitsB1CompleteFacMiss
20110000.03896.227%
25500000.00499.645%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010.831


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-09-14ari.ornv4_computersA94CD88516CB5DB28.933
2006-02-15Dry Creek Photov4_computersA94CD88516CB5DB28.933


PRP results:
dateuseridcompidcofactorsres64
2024-03-05Perigbragoid
2233209173222854195801
5E69BB2FEBE19AE7


CERT results:
dateuseridcompid
2024-03-05S00030dl360-08


P-1 factor-bounds graph:
B1 = 500000, B2 = 256559940 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 205000, B2 = 5227500 (P-1 stage 2)
B1 = 205000 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
109
TF factor-bounds graph:
267
266
265
this exponent TF target: 69
TF double-checked to: 67
ECM T-Level=0.19 ~= -16-bit
250
260
270
280
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Last modified: 2024-03-13T02:15:48+00:00