is 2 4032403 - 1
has 1213875 decimal digits
takes 0.503 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LAEFDE64F913E7054double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2677.368867.1642 %2200001197768001.21786.8957 %8.586669.4285 %
Target2651.809366.1538 %2200018000000.02151.7517 %1.830866.7467 %
Difference+2+5.5595+1.0103 %+198000+117976800+1.1963+5.1440%+6.7558+2.6817 %

Known prime factors (2 factors, 135.5 bits, 0.00336066% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
403240374387602905202094711962.690922373122245
3 × 5 × 17 × 10457 × 345907
2009-11-16104573459070.38550.00520.0064
403240383682447660257924462172272.8251037625054592236
22 × 3 × 112 × 29 × 10111 × 2437147
2023-03-02101112437147393.040.02570.0449

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-07-14Carsten Kossendeymother20000290000--0.0061.605%
2023-03-02USAFSS6917th_Scty_Sq22000011977680022272.8251.2868.318%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-07-29David Campeauv4_computers212610.038


ECM factoring results:
Total ECM effort:0.474 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
10.118
50000500000030.355


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-04-27ANONYMOUSv4_computersAEFDE64F913E70540.503
1998-05-08ANONYMOUSv4_computersAEFDE64F913E70540.503
1998-08-02ANONYMOUSv4_computersAEFDE64F913E70540.503
1998-09-13ANONYMOUSv4_computersAEFDE64F913E70540.503
1999-04-13ANONYMOUSv4_computersAEFDE64F913E70540.503
2000-03-08ANONYMOUSv4_computersAEFDE64F913E70540.503


PRP results:
dateuseridcompidcofactorsres64
2017-09-20kkmrkkblmbrbkManual testing
7438760290520209471
CD5EFAD621DB06C7
2018-01-07Oliver KruseGTX-4
7438760290520209471
CD5EFAD621DB06C7
2023-03-07ATHec2-PRPCF
7438760290520209471
8368244766025792446217
A196C561B43136AE


CERT results:
dateuseridcompid
2023-03-07curtiscwcm202--18l


P-1 factor-bounds graph:
B1 = 220000, B2 = 119776800 (P-1 stage 2)
B1 = 220000 (P-1 stage 1)
B1 = 20000, B2 = 290000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
103
104
105
106
103
104
105
106
107
108
109
TF factor-bounds graph:
261
this exponent TF target: 65
TF double-checked to: 67
ECM T-Level=0.58 ~= -15-bit
250
260
270
280
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Last modified: 2024-03-13T02:15:48+00:00