is 2 2164429 - 1
has 651559 decimal digits
takes 0.142 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
Actual26713.728367.1642 %500000150000000.12305.1719 %13.851368.8624 %
Target2620.283864.5161 %100008000000.00511.5199 %0.288965.0554 %
Difference+5+13.4444+2.6481 %+490000+14200000+0.1179+3.6521%+13.5624+3.8070 %

Known prime factors (2 factors, 108.0 bits, 0.00498955% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2164429151293587111133.8173495
3 × 5 × 233
-52339.287e-101.661e-62.292e-6
2164429213782137410214859799372374.1794938534306512592
24 × 3 × 37 × 169919 × 16364893
2016-04-03169919163648932,598.70.10030.1588

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-04-03alpertronManual testing500000150000001222374.1790.1238.256%


Trial Factoring results:
5758596061626364656667
No TF results for M2164429


ECM factoring results:
Total ECM effort:8.849 GHz-days
Estimated T-Level:21.731
DigitsB1CompleteFacMiss
20110003.7182.428%
25500000.34670.734%
302500000.02297.822%
3510000000.00199.897%


ECM Summary

B1B2factorcurvesGHz-days
500005000000100.854
50000645888470.670
500007000000504.972
50000702496020.199
500007050000212.153


Lucas-Lehmer results:
No L-L results for M2164429


PRP results:
dateuseridcompidcofactorsres64
2017-10-09Oliver KruseGTX-1
15129358711
21378213741021485979937
46E3C4750016F9FC
2017-11-19kkmrkkblmbrbkc4.xlarge
15129358711
21378213741021485979937
46E3C4750016F9FC


CERT results:
No CERT results for M2164429


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
TF factor-bounds graph:
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=21.73 ~= 56-bit
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280
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Last modified: 2024-03-13T02:15:48+00:00