is 2 8654563 - 1
has 2605284 decimal digits
takes 2.260 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L312FF9B50F94C8D7double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2686.887164.7059 %20500043562500.16323.8872 %7.050466.0778 %
Target2686.887164.7059 %5500060000000.14352.2950 %7.030665.5159 %
Difference---+150000-1643750+0.0198+1.5922%+0.0198+0.5619 %

Known prime factors (1 factor, 68.9 bits, 0.00079571% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
86545635375780871051900906492168.86531057494590148
22 × 3 × 13 × 137 × 1453186159
2019-09-0213714531861596.887129.97655.987

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-11-24ANONYMOUSv4_computers4000040000--0.0150.586%
2012-06-07James Heinrich3930K20500043562506--0.1633.887%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-10-18monsterv4_computers212610.018
1998-11-28ANONYMOUSv4_computers212620.035
1999-07-12ANONYMOUSv4_computers212630.113
2002-11-24ANONYMOUSv4_computers212640.227
2012-06-03James HeinrichManual testing2642650.432
2015-05-26VictordeHollanderManual testing2652660.863
2016-02-05snme2pm1Manual testing2662671.727
2018-04-06monstManual testing2672683.454


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)
2000-05-10Warpedv4_computers312FF9B50F94C8D72.260
2003-05-04ANONYMOUSv4_computers312FF9B50F94C8D72.260


PRP results:
dateuseridcompidcofactorsres64
2019-09-02mnd975211backdoorb
537578087105190090649
2BB9DC8FB7B4375A
2020-08-14kutensterra
537578087105190090649
2BB9DC8FB7B4375A


CERT results:
No CERT results for M8654563


P-1 factor-bounds graph:
B1 = 205000, B2 = 4356250 (P-1 stage 2)
B1 = 205000 (P-1 stage 1)
B1 = 40000 (P-1 stage 1)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
268
267
266
265
264
263
262
261
this exponent TF target: 68
TF double-checked to: 67
ECM T-Level=0.77 ~= -14-bit
250
260
270
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Last modified: 2024-02-09T03:30:02+00:00