is 2 2809343 - 1
has 845697 decimal digits
takes 0.217 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L64B69A4072827E52double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26710.576867.1642 %3600002873801701.79167.9946 %12.368469.7893 %
Target2630.568165.0794 %1500013000000.00951.7909 %0.577665.7047 %
Difference+4+10.0087+2.0848 %+345000+286080170+1.7821+6.2037%+11.7908+4.0845 %

Known prime factors (1 factor, 62.9 bits, 0.00223826% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
280934384896200120500875931962.8801510961817772
22 × 11 × 22963 × 1495451
2010-10-162296314954510.21870.01160.0170

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-11-28ANONYMOUSv4_computers2048204800--0.0010.682%
2023-01-29USAFSSUSAFSACS360000287380170
skipped known factor: 8489620012050087593
--1.97411.277%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-04-11ANONYMOUSv4_computers212590.014
2022-03-10LordJuliusManual testing21260
2009-02-14Sturle Sundefungo.ifi2602610.055


ECM factoring results:
Total ECM effort:0.404 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
10.162
50000500000030.243


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-04-21ANONYMOUSv4_computers64B69A4072827E520.217
1999-10-15ANONYMOUSv4_computers64B69A4072827E520.217


PRP results:
dateuseridcompidcofactorsres64
2017-10-21Oliver KruseGTX-1
8489620012050087593
A7DABFA7E931D908
2017-12-06kkmrkkblmbrbkc4.xlarge
8489620012050087593
A7DABFA7E931D908


CERT results:
No CERT results for M2809343


P-1 factor-bounds graph:
B1 = 360000, B2 = 287380170 (P-1 stage 2)
B1 = 360000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
109
TF factor-bounds graph:
261
260
259
this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=0.58 ~= -15-bit
250
260
270
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Last modified: 2024-02-29T14:28:04+00:00