is 2 2506409 - 1
has 754505 decimal digits
takes 0.174 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LF29393DAE62C77C8double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26711.855267.1642 %2880002905893901.61977.6482 %13.474969.6755 %
Target2630.636865.0794 %110008500000.00571.4082 %0.642565.5711 %
Difference+4+11.2184+2.0848 %+277000+289739390+1.6140+6.2400%+12.8324+4.1044 %

Known prime factors (1 factor, 62.2 bits, 0.00248277% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
250640954029033089752889691962.2281077817568676
22 × 3 × 101 × 1229 × 723587
2011-10-0212297235870.25830.00410.0074

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-10-23ANONYMOUSv4_computers2048204800--0.0010.662%
2003-10-31Team Prime Ribv4_computers15000236250--0.0031.706%
2010-12-16JossManual testing2000020000--0.0020.622%
2011-01-01JossManual testing3000030000--0.0030.823%
2011-01-04JossManual testing5000050000--0.0051.130%
2011-10-02markrtiny1962.2280.0370.000%
2023-01-28USAFSSUSAFSACS288000290589390
skipped known factor: 5402903308975288969
--1.80410.878%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-03-15bezaharv4_computers212590.015
2022-03-10LordJuliusManual testing21260
2009-01-31Sturle Sundegimba.ifi2602610.061


ECM factoring results:
Total ECM effort:5.771 GHz-days
Estimated T-Level:21.080
DigitsB1CompleteFacMiss
20110002.3149.885%
25500000.21680.581%
302500000.01498.637%


ECM Summary

B1B2factorcurvesGHz-days
50000500000060.395
500007000000505.375


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15bezaharv4_computersF29393DAE62C77C80.174


PRP results:
dateuseridcompidcofactorsres64
2017-10-15kkmrkkblmbrbkc4.xlarge
5402903308975288969
388E14DA5F25E446
2017-11-07Oliver KruseGTX-0
5402903308975288969
388E14DA5F25E446


CERT results:
No CERT results for M2506409


P-1 factor-bounds graph:
B1 = 288000, B2 = 290589390 (P-1 stage 2)
B1 = 288000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000, B2 = 236250 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
B1 = 15000 (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=21.08 ~= 53-bit
250
260
270
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Last modified: 2024-03-13T02:15:48+00:00