is 2 3678317 - 1
has 1107284 decimal digits
takes 0.386 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2678.078167.1642 %1000001303648501.09615.9939 %9.174269.1323 %
Target2640.967765.6250 %2200020000000.01982.0390 %0.987466.3259 %
Difference+3+7.1105+1.5392 %+78000+128364850+1.0763+3.9549%+8.1868+2.8064 %

Known prime factors (2 factors, 86.3 bits, 0.00234667% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
367831760231925910631342.454818743
59 × 13877
-59138771.939e-70.00010.0002
3678317160126261236171443.8642176624
24 × 29 × 4691
2008-09-302946913.602e-74.310e-57.276e-5

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2022-02-28JossManual testing100000100000
skipped known factor: 6023192591063
skipped known factor: 16012626123617
--0.0151.538%
2022-05-23JossManual testing100000130364850
skipped known factor: 6023192591063
skipped known factor: 16012626123617
--1.3028.099%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-09-30markrManual testing??
43.864
14


ECM factoring results:
Total ECM effort:0.447 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.447


Lucas-Lehmer results:
No L-L results for M3678317


PRP results:
dateuseridcompidcofactorsres64
2017-09-20kkmrkkblmbrbkManual testing
16012626123617
6023192591063
030B18B422A05983
2017-11-28Oliver KruseThreadripper-PC
6023192591063
16012626123617
030B18B422A05983


CERT results:
No CERT results for M3678317


P-1 factor-bounds graph:
B1 = 100000, B2 = 130364850 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
100
101
102
103
104
105
100
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=0.58 ~= -15-bit
250
260
270
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Last modified: 2024-03-13T02:15:48+00:00