is 2 3516727 - 1
has 1058641 decimal digits
takes 0.369 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
Actual26816.949067.6471 %10000002356344902.09918.3248 %19.048170.3404 %
Target2641.012165.6250 %2000018000000.01781.9171 %1.029966.2840 %
Difference+4+15.9368+2.0221 %+980000+233834490+2.0813+6.4077%+18.0181+4.0564 %

Known prime factors (2 factors, 95.9 bits, 0.00272712% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
351672714980202001911340.446212985
32 × 5 × 4733
-947334.584e-84.057e-57.340e-5
3516727495311555865449591755.4597042223577
3 × 1721 × 1363979
2015-01-26172113639790.00250.01160.0211

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2022-02-27JossManual testing1000000147632100
skipped known factor: 1498020200191
skipped known factor: 49531155586544959
--1.62610.854%
2022-09-09JossManual testing1000000235634490
skipped known factor: 1498020200191
skipped known factor: 49531155586544959
--2.19811.497%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2015-01-26TJAOIManual testing255256*
55.459
17
0.001
2022-05-30Magallan3sManual testing21260
40.446
55.459
13
17
2022-06-02LordJuliusManual testing262267
2022-02-20JossManual testing267268


ECM factoring results:
Total ECM effort:0.443 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.443


Lucas-Lehmer results:
No L-L results for M3516727


PRP results:
dateuseridcompidcofactorsres64
2017-11-08Oliver KruseGTX-0
1498020200191
49531155586544959
E5B5788BFF09A883
2017-12-17kkmrkkblmbrbkc4.xlarge
1498020200191
49531155586544959
E5B5788BFF09A883


CERT results:
No CERT results for M3516727


P-1 factor-bounds graph:
B1 = 1000000, B2 = 235634490 (P-1 stage 2)
B1 = 1000000, B2 = 147632100 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
268
267
260
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