is 2 4096523 - 1
has 1233177 decimal digits
takes 0.511 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2677.253467.1642%----7.253467.1642%0.0000%
PrimeNet2610.075063.9344%170003400000.00632.8223%0.081264.9523%1.0179%
GPU722651.780966.1538%220004000000.00771.8083%1.788766.7659%0.6120%
Difference+2+5.4725+1.0103%-22000-400000-0.0077-1.8083%+5.4648+0.3983%+0.3983%

Known prime factors (3 factors, 138.7 bits, 0.00338473% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
409652339080829431031.864477
32 × 53
-9537.705e-112.061e-63.312e-6
40965232214627853466811547.65427030580
22 × 5 × 1351529
2014-03-12513515298.123e-60.01330.0249
40965236344121403891611771859.13877433001156
22 × 7 × 107 × 137 × 188653
2015-10-281371886530.03490.00190.0035

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
40965238654949339226343577621832479.518
409652324793352646870021779115039112891.002
409652314049867966833325331455273100353733106.792
409652354908049352583408451830174170899022236939142138.656
P-1 results:
No P-1 results for M4096523


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2014-03-12T11:17:00TJAOIManual testing??47.654153.54649e-61.1127.71770e-6
2015-10-28T12:41:40TJAOIManual testing259260*59.138180.0161.0740.034


ECM factoring results:

Old Calculation Method

Total ECM effort:0.543 GHz-days
Estimated T-Level:0.150
DigitsB1CurvesCompleteFacMiss
20110003 / 1000.03097.030%
25500003 / 2800.01198.932%

New Calculation Method

Total ECM effort:0.543 GHz-days
Estimated T-Level:0.150
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.543


Lucas-Lehmer results:
No L-L results for M4096523


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-13T21:50:02kkmrkkblmbrbkc4.xlarge
3908082943
221462785346681
634412140389161177
D1CDBC36DEE757__no
2018-01-11T12:35:25Oliver KruseGTX-4
3908082943
221462785346681
634412140389161177
D1CDBC36DEE757__no


P-1 factor-bounds graph:
100
101
102
103
100
101
102
103
104
105
106
107
TF factor-bounds graph:
267
260
2
230
240
250
260
270
280
290
2100
Last modified: 2018-11-29T03:47:32+00:00