is 2 8338709 - 1
has 2510202 decimal digits
takes 2.177 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LAA4C570A99AF11C7double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2673.563465.6716 %35000350000.01330.6217 %3.576665.8851 %
Target2687.148066.1765 %5000055000000.13142.1854 %7.279366.9157 %
Difference-1-3.5846-0.5048 %-15000-5465000-0.1181-1.5637 %-3.7027-1.0306 %

Known prime factors (1 factor, 89.7 bits, 0.00107581% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
833870910117267317614933206983215832889.70960664470469079405499
33 × 19 × 53 × 83 × 191 × 479 × 2269 × 129497
2011-01-30226912949717,895,4520.00350.0050

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-09-22ANONYMOUSv4_computers3500035000--0.0130.530%
2011-01-30Carsten Kossendeymother2889.7090.1930.000%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-11-07ANONYMOUSv4_computers212610.018
1998-11-21ANONYMOUSv4_computers212620.037
1999-03-01ANONYMOUSv4_computers212630.118
2000-02-16ANONYMOUSv4_computers212640.235


ECM factoring results:
No ECM results for M8338709


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-05-24ANONYMOUSv4_computersAA4C570A99AF11C72.177
2002-02-10ANONYMOUSv4_computersAA4C570A99AF11C72.177
2003-03-07ANONYMOUSv4_computersAA4C570A99AF11C72.177


PRP results:
dateuseridcompidcofactorsres64
2018-10-13rucio
1011726731761493320698321583
3D2207AB8F2B12AE
2020-04-25marssystemssystem03
1011726731761493320698321583
3D2207AB8F2B12AE


CERT results:
No CERT results for M8338709


P-1 factor-bounds graph:
B1 = 35000 (P-1 stage 1)
102
103
104
105
102
103
104
105
106
TF factor-bounds graph:
264
263
262
261
this exponent TF target: 68
TF double-checked to: 67
250
260
270
280
290
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Last modified: 2024-03-13T02:15:48+00:00