is 2 16311767 - 1
has 4910332 decimal digits
takes 8.919 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LAC4798B3D2A8A974double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2671.821664.1791%20000041000000.32704.6191%2.148765.8337%1.6546%
PrimeNet2650.447363.0769%7000022000000.14754.3303%0.594864.6758%1.5989%
GPU722697.319165.2174%11000030000000.21213.1814%7.531166.3240%1.1066%
Difference-2-5.4974-1.0383%+90000+1100000+0.1150+1.4377%-5.3824-0.4902%-0.4902%

Known prime factors (1 factor, 74.8 bits, 0.00045861% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
16311767330499911124627779853612374.8071013072069766040
23 × 5 × 17 × 672107 × 2216629
2017-02-266721072216629358.430.59961.0845

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-12-25T00:00:00Andreas Jantosv4_computers2000004100000---0.327--4.619%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-06-09T00:00:00Mike Curtisv4_computers21261--0.019--
2002-01-08T00:00:00ANONYMOUSv4_computers21265--0.447--
2016-03-16T02:23:11Mark RoseManual testing265266--0.458--
2014-08-18T15:07:00NesowaManual testing266267--0.916--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.831 GHz-days
Estimated T-Level:0.050
DigitsB1CurvesCompleteFacMiss
20110001 / 1000.01099.000%
25500001 / 2800.00499.643%

New Calculation Method

Total ECM effort:0.831 GHz-days
Estimated T-Level:0.050
DigitsB1CompleteFacMiss
20110000.03296.826%
25500000.00399.709%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010.831


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2003-02-09T00:00:00Andreas Jantosv4_computers06DE240C18BA27__8.919
2006-07-25T00:00:00ahmeraliv4_computersAC4798B3D2A8A9748.919
2007-07-04T00:00:00shaneamyv4_computersAC4798B3D2A8A9748.919


PRP results:
No PRP results for M16311767


P-1 factor-bounds graph:
B1 = 200000, B2 = 4100000 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
104
105
106
104
105
106
107
TF factor-bounds graph:
267
266
265
261
250
260
270
280
290
2100
Last modified: 2017-02-26T21:48:53+00:00