is 2 1618333 - 1
has 487167 decimal digits
takes 0.072 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LB5DEDAB1B5944FF8double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26718.360868.6567 %500000150000000.08354.9940 %18.444470.2220 %
Target2610.189865.5738 %65003000000.00151.0590 %0.191365.9383 %
Difference+6+18.1710+3.0829 %+493500+14700000+0.0821+3.9350%+18.2531+4.2837 %

Known prime factors (1 factor, 66.0 bits, 0.00407622% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1618333721053091132547261212065.96722277649010820
22 × 5 × 72 × 997 × 22800697
2011-11-26997228006976.32720.08050.1503

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2011-11-26BigBrotherWinston2065.9670.1320.000%
2016-03-17alpertronManual testing5000001500000012---8.748%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2003-07-13ANONYMOUSv4_computers212580.024
2010-05-03Architects Cubedm1_tt2602610.095
2010-07-30GrunwalderGIMPManual testing212630.986


ECM factoring results:
Total ECM effort:31.280 GHz-days
Estimated T-Level:25.718
DigitsB1CompleteFacMiss
201100014.6540.000%
25500001.67418.740%
302500000.14486.623%
3510000000.01099.005%


ECM Summary

B1B2factorcurvesGHz-days
50000500000025113.97
250000400000005017.31


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-29Phantomasv4_computersB5DEDAB1B5944FF80.072


PRP results:
dateuseridcompidcofactorsres64
2017-10-02Oliver KruseGTX-1
72105309113254726121
A0BA5335BFBCD508
2017-11-01kkmrkkblmbrbkc4.xlarge
72105309113254726121
A0BA5335BFBCD508


CERT results:
No CERT results for M1618333


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
TF factor-bounds graph:
263
261
258
this exponent TF target: 61
TF double-checked to: 67
ECM T-Level=25.72 ~= 69-bit
250
260
270
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Last modified: 2024-03-13T02:15:48+00:00