is 2 2791697 - 1
has 840385 decimal digits
takes 0.216 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L790CBE1B934B0ED3double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26710.643767.1642 %3600002873801701.79167.9890 %12.435369.7874 %
Target2630.571765.0794 %1500013000000.00951.7887 %0.581265.7040 %
Difference+4+10.0720+2.0848 %+345000+286080170+1.7821+6.2002%+11.8541+4.0834 %

Known prime factors (1 factor, 65.4 bits, 0.00234436% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2791697503094639684290928072065.4479010552357299
3 × 3003517452433
2009-03-18330035174524332.809818,32634,229

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-11-28ANONYMOUSv4_computers2048204800--0.0010.681%
2023-01-29USAFSS6917th_Scty_Sq360000287380170--1.97411.270%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-04-11ANONYMOUSv4_computers212590.014
2022-03-11LordJuliusManual testing21260
2009-02-13Sturle Sundegofy.ifi2602610.055


ECM factoring results:
Total ECM effort:0.162 GHz-days
DigitsB1CompleteFacMiss


ECM Summary

B1B2factorcurvesGHz-days
10.162


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-10-18ANONYMOUSv4_computers790CBE1B934B0ED30.216
1999-06-06ANONYMOUSv4_computers790CBE1B934B0ED30.216


PRP results:
dateuseridcompidcofactorsres64
2017-10-21Oliver KruseGTX-0
50309463968429092807
001B440B0E6BEF90
2017-12-06Chang Chia-Tcheex01
50309463968429092807
001B440B0E6BEF90


CERT results:
No CERT results for M2791697


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)
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100
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1010
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TF factor-bounds graph:
261
260
259
this exponent TF target: 63
TF double-checked to: 67
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Last modified: 2024-03-13T02:15:48+00:00