is 2 8662447 - 1
has 2607657 decimal digits
takes 2.262 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LC8A59F04BD3BBB35double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2686.880864.7059 %10000018750000.07452.8757 %6.955365.7208 %
Target2686.880864.7059 %5500060000000.14352.2953 %7.024365.5160 %
Difference---+45000-4125000-0.0690+0.5804%-0.0690+0.2048 %

Known prime factors (1 factor, 81.3 bits, 0.00093812% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
866244729039361571335694003114332581.264167616388136837628
22 × 32 × 4656010781578823
2019-09-159465601078157882356,53596,043,156179,381,869

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-05-11Mr. P-1v4_computers500008500006--0.0352.061%
2003-06-06ANONYMOUSv4_computers450007087504--0.0311.918%
2007-08-14Mr. P-1v4_computers500008500006--0.0352.061%
2008-03-03Mr. P-1v4_computers500008500006--0.0352.061%
2012-01-17bcp19Manual testing10000018750006--0.0742.876%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-10-25ANONYMOUSv4_computers212620.035
1999-05-02ANONYMOUSv4_computers212630.113
1999-10-21ANONYMOUSv4_computers212640.227
2014-01-24lycornManual testing2642650.431
2015-05-26VictordeHollanderManual testing2652660.863
2016-02-06snme2pm1Manual testing2662671.725
2018-04-06monstManual testing2672683.451


ECM factoring results:
Total ECM effort:1.588 GHz-days
Estimated T-Level:0.769
DigitsB1CompleteFacMiss
20110000.15485.740%
25500000.01498.587%


ECM Summary

B1B2factorcurvesGHz-days
50000500000031.191
50000500000010.397


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-12-15ANONYMOUSv4_computersC8A59F04BD3BBB352.262
2003-06-06ANONYMOUSv4_computersC8A59F04BD3BBB352.262


PRP results:
dateuseridcompidcofactorsres64
2019-09-16mnd950871b
2903936157133569400311433
267EC632AD0C78DA
2020-08-16kutensterra
2903936157133569400311433
267EC632AD0C78DA


CERT results:
No CERT results for M8662447


P-1 factor-bounds graph:
B1 = 100000, B2 = 1875000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 50000, B2 = 850000 (P-1 stage 2)
B1 = 45000, B2 = 708750 (P-1 stage 2)
B1 = 50000 (P-1 stage 1)
B1 = 45000 (P-1 stage 1)
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TF factor-bounds graph:
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this exponent TF target: 68
TF double-checked to: 67
ECM T-Level=0.77 ~= -14-bit
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Last modified: 2024-02-09T03:30:02+00:00