is 2 1708439 - 1
has 514292 decimal digits
takes 0.080 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
Actual26717.392468.6567 %500000150000000.08805.0267 %17.480570.2323 %
Target2610.179865.5738 %70005000000.00231.3027 %0.182166.0222 %
Difference+6+17.2126+3.0829 %+493000+14500000+0.0857+3.7241%+17.2984+4.2100 %

Known prime factors (2 factors, 118.2 bits, 0.00691748% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
170843977392286711032.8502265
3 × 5 × 151
-51514.991e-108.840e-71.078e-6
1708439486727347095552852565447832685.33114244797358745405969
11 × 366853 × 1306069 × 2702747
2023-01-20130606927027477,851,6310.09430.1814

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-03-16alpertronManual testing5000001500000012
skipped known factor: 7739228671
---8.799%


Trial Factoring results:
5758596061626364656667
No TF results for M1708439


ECM factoring results:
Total ECM effort:37.984 GHz-days
Estimated T-Level:25.709
DigitsB1CompleteFacMiss
201100014.9310.000%
25500001.68118.619%
302500000.14286.785%
3510000000.01099.033%


ECM Summary

B1B2factorcurvesGHz-days
50000500000026618.07
25000040000000156.355
250000400000003213.56


Lucas-Lehmer results:
No L-L results for M1708439


PRP results:
dateuseridcompidcofactorsres64
2017-09-30alpertronManual testing
7739228671
49D04E75FC99B7C1
2017-10-18Oliver KruseThreadripper-PC
7739228671
49D04E75FC99B7C1
2023-01-21LordJuliusWhitebox
7739228671
48672734709555285256544783
B60D318BF623B90D


CERT results:
dateuseridcompid
2023-01-21M. Farrokhi D. G.PC8


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
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107
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105
106
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108
TF factor-bounds graph:
this exponent TF target: 61
TF double-checked to: 67
ECM T-Level=25.71 ~= 69-bit
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Last modified: 2024-03-13T02:15:48+00:00