is 2 496609 - 1
has 149495 decimal digits
takes 0.006 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
Actual26759.833671.6418 %30000001000000000.14157.2734 %59.975173.7044 %
Target2440.000056.8182 %900014000000.001414.3444 %0.001563.0123 %
Difference+23+59.8336+14.8236 %+2991000+98600000+0.1400-7.0710 %+59.9737+10.6920 %

Known prime factors (2 factors, 132.3 bits, 0.02663850% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
496609625625675293957809672065.76262989764109587
33 × 7 × 23 × 117511 × 123311
2003-05-0411751112331124.7460.00200.0041
4966091063411623205272042892166.527107067292699616
25 × 23 × 1109 × 131173909
2014-12-06110913117390946.9100.12210.2280

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-07-07ANONYMOUSv4_computers1000004000000--0.00523.861%
2002-06-29ANONYMOUSv4_computers32768327680012--0.00422.105%
2002-09-22ANONYMOUSv4_computers65536655360012--0.00724.750%
2003-05-04ANONYMOUSv4_computers2065.762-0.000%
2003-08-25ANONYMOUSv4_computers2065.762-0.000%
2014-12-06alpertronManual testing30000001000000001222166.5270.14135.006%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-05-05ANONYMOUSv4_computers212540.005
2022-03-07LordJuliusManual testing254255
2001-04-01ANONYMOUSv4_computers212560.019
2002-01-15ANONYMOUSv4_computers212570.039


ECM factoring results:
Total ECM effort:12.971 GHz-days
Estimated T-Level:26.435
DigitsB1CompleteFacMiss
201100023.8990.000%
25500003.0284.840%
302500000.28775.049%
3510000000.02297.832%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002813.641
250000250000001449.330


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-10-20ANONYMOUSv4_computersFCA2C3795D2797__0.006


PRP results:
dateuseridcompidcofactorsres64
2017-09-27Oliver KruseGTX-0
62562567529395780967
106341162320527204289
A5898055E9EEF50E
2017-10-18Oliver KruseGTX-1
62562567529395780967
106341162320527204289
DB0CEBC417AEE1FD
2017-10-19kkmrkkblmbrbkc4.xlarge
62562567529395780967
106341162320527204289
DB0CEBC417AEE1FD


CERT results:
No CERT results for M496609


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 100000, B2 = 4000000 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
TF factor-bounds graph:
257
256
255
254
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=26.44 ~= 71-bit
250
260
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280
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Last modified: 2024-03-13T02:15:48+00:00