is 2 3539 - 1
has 1066 decimal digits
takes 0.000 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
Actual2678,396.133882.0896 %1200000000003146056092927247501,025,227.815740.4202 %1,033,623.949589.3290 %
Target2440.000772.7273 %500500000.00000.9132 %0.000772.9763 %
Difference+23+8,396.1331+9.3623 %+119999999500+314605609292674750+1,025,227.8157+39.5070%+1,033,623.9489+16.3527 %

Known prime factors (1 factor, 12.8 bits, 0.36138259% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
35397079412.7891
1
-111.541e-135.981e-111.217e-10

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2021-09-05Jinyuan WangManual testing13000000001300000000012
skipped known factor: 7079
--0.11639.536%
2022-06-09mikrNitron120000000000314605609292724750
skipped known factor: 7079
--500,00079.084%


Trial Factoring results:
5758596061626364656667
No TF results for M3539


ECM factoring results:
Total ECM effort:12,828.548 GHz-days
Estimated T-Level:51.110
DigitsB1CompleteFacMiss
20110003,162.9670.000%
25500001,426.3350.000%
30250000430.7470.000%
351000000111.2280.000%
40300000026.3910.000%
45110000005.8020.302%
50440000001.17830.800%
551100000000.22280.094%
602600000000.03996.178%
658000000000.00699.376%


ECM Summary

B1B2factorcurvesGHz-days
30000003000000003190.750
1100000011000000008,41079.62
4400000044000000002006.897
26000000023928615410701,86012,741


Lucas-Lehmer results:
No L-L results for M3539


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOliver-PC
7079
96DFA4CE006142C9
2017-09-21Oliver KruseManual testing
7079
96DFA4CE006142C9
2017-10-12kkmrkkblmbrbkManual testing
7079
96DFA4CE006142C9
2017-12-07ATHManual testing
7079
96DFA4CE006142C9
2020-04-17Oliver KruseIOS-1
7079
56F6DA4718B7E79B
2022-05-12Jorge CoveiroManual testing
7079
56F6DA4718B7E79B


CERT results:
No CERT results for M3539


P-1 factor-bounds graph:
B1 = 120000000000, B2 = 314605609292724750 (P-1 stage 2)
B1 = 120000000000 (P-1 stage 1)
B1 = 1300000000, B2 = 13000000000 (P-1 stage 2)
B1 = 1300000000 (P-1 stage 1)
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TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=51.11 ~= 153-bit
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Last modified: 2024-03-13T02:15:48+00:00