is 2 8566409 - 1
has 2578747 decimal digits
takes 2.237 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LE2E895C5CA942B8Edouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2673.468764.1791 %1050001050000.03981.2173 %3.508464.6152 %
Target2686.958064.7059 %5500060000000.14352.2912 %7.101465.5145 %
Difference-1-3.4893-0.5268 %+50000-5895000-0.1037-1.0739 %-3.5930-0.8994 %

Known prime factors (1 factor, 77.5 bits, 0.00090479% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
85664092148735680100873743057032477.50812541636058358139
41 × 167 × 277 × 18617 × 355193
2012-08-15186173551935,211.90.01400.0143

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-04-21Tom 7v4_computers105000105000--0.0401.060%
2012-08-15NesowaOutback2477.5080.0870.000%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-01-10Baquarav4_computers212620.036
1999-02-21JShaftv4_computers212630.115
2000-01-12ANONYMOUSv4_computers212640.229


ECM factoring results:
No ECM results for M8566409


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-06-23Tom 7v4_computersE2E895C5CA942B8E2.237
2003-04-03ANONYMOUSv4_computersE2E895C5CA942B8E2.237


PRP results:
dateuseridcompidcofactorsres64
2018-11-23rucio
214873568010087374305703
943E8172EA4CE384
2020-07-15oodairacom2
214873568010087374305703
943E8172EA4CE384


CERT results:
No CERT results for M8566409


P-1 factor-bounds graph:
B1 = 105000 (P-1 stage 1)
103
104
105
106
103
104
105
106
TF factor-bounds graph:
264
263
262
this exponent TF target: 68
TF double-checked to: 67
250
260
270
280
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00