is 2 7740641 - 1
has 2330166 decimal digits
takes 1.771 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L10F5BFD67937DD2Bdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2673.838765.6716 %9500017812500.06203.1101 %3.900766.7393 %
Target2673.838765.6716 %5000055000000.11512.4498 %3.953866.5126 %
Difference---+45000-3718750-0.0531+0.6602%-0.0531+0.2266 %

Known prime factors (1 factor, 67.4 bits, 0.00087010% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
77406411882433777684223443832167.35112159417919551
3 × 7 × 5443 × 106378817
2018-06-2754431063788173.83871.92473.5916

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-04-14Team Prime Ribv4_computers40000410000--0.0201.796%
2012-08-18NesowaWork9500017812506--0.0623.110%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-08-09Smegheadsv4_computers212620.040
1998-11-07ANONYMOUSv4_computers212630.127
2013-10-07NesowaManual testing2632640.254
2013-12-11David CampeauManual testing2642650.483
2015-06-03VictordeHollanderManual testing2652660.965
2016-09-06Gordon SpenceManual testing2662671.931


ECM factoring results:
Total ECM effort:1.392 GHz-days
Estimated T-Level:0.769
DigitsB1CompleteFacMiss
20110000.15485.740%
25500000.01498.587%


ECM Summary

B1B2factorcurvesGHz-days
50000500000031.044
50000500000010.348


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-08-01ANONYMOUSv4_computers10F5BFD67937DD2B1.771
2002-04-20Team Prime Ribv4_computers10F5BFD67937DD2B1.771


PRP results:
dateuseridcompidcofactorsres64
2018-07-08Oliver KruseGTX-1
188243377768422344383
1CBFA257A3B47E0E
2019-09-20NesowaLaptop
188243377768422344383
1CBFA257A3B47E0E


CERT results:
No CERT results for M7740641


P-1 factor-bounds graph:
B1 = 95000, B2 = 1781250 (P-1 stage 2)
B1 = 95000 (P-1 stage 1)
B1 = 40000, B2 = 410000 (P-1 stage 2)
B1 = 40000 (P-1 stage 1)
102
103
104
105
102
103
104
105
106
107
108
109
TF factor-bounds graph:
267
266
265
264
263
262
this exponent TF target: 67
TF double-checked to: 67
ECM T-Level=0.77 ~= -14-bit
250
260
270
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Last modified: 2024-02-09T03:30:02+00:00