is 2 2425751 - 1
has 730224 decimal digits
takes 0.164 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LD54CD9FD61E8AE91double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26712.249467.1642 %2000000600000000.50557.6236 %12.754869.6675 %
Target2630.657965.0794 %100007000000.00471.2777 %0.662665.5255 %
Difference+4+11.5914+2.0848 %+1990000+59300000+0.5008+6.3459%+12.0922+4.1419 %

Known prime factors (1 factor, 64.5 bits, 0.00265965% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2425751263889191416938396312064.5175439329746065
32 × 5 × 23 × 131 × 173 × 231893
2010-12-181732318932.82260.00130.0023

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-10-08ANONYMOUSv4_computers2048204800--0.0010.656%
2010-11-10JossManual testing1500015000--0.0020.498%
2010-11-17JossManual testing2000020000--0.0020.618%
2010-12-18markrtiny2064.5170.0200.000%
2018-09-28alpertronManual testing20000006000000012
skipped known factor: 26388919141693839631
---10.535%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-03-15ANONYMOUSv4_computers212590.016
2022-03-10LordJuliusManual testing21260
2009-01-16Sturle Sundebruch.ifi2602610.063


ECM factoring results:
Total ECM effort:5.601 GHz-days
Estimated T-Level:21.080
DigitsB1CompleteFacMiss
20110002.3149.885%
25500000.21680.581%
302500000.01498.637%


ECM Summary

B1B2factorcurvesGHz-days
50000500000060.395
500007000000505.206


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-30ANONYMOUSv4_computersD54CD9FD61E8AE910.164


PRP results:
dateuseridcompidcofactorsres64
2017-10-13Oliver KruseGTX-1
26388919141693839631
E79F6873D12BAC6C
2017-11-27kkmrkkblmbrbkc4.xlarge
26388919141693839631
E79F6873D12BAC6C


CERT results:
No CERT results for M2425751


P-1 factor-bounds graph:
B1 = 2000000, B2 = 60000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
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)
101
102
103
104
105
106
107
101
102
103
104
105
106
107
108
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