is 2 8609149 - 1
has 2591613 decimal digits
takes 2.248 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LF1539EA566B81594double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2673.451464.1791 %10000018500000.07403.2145 %3.525465.3306 %
Target2686.923464.7059 %5500060000000.14352.2931 %7.066965.5152 %
Difference-1-3.4720-0.5268 %+45000-4150000-0.0695+0.9214%-3.5415-0.1846 %

Known prime factors (1 factor, 66.7 bits, 0.00077530% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
86091491238295997010445454572166.7477191744486072
23 × 3 × 19 × 199 × 79253113
2016-02-01199792531132.86981.63493.0534

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-02-24Mr. P-1v4_computers450006750004--0.0301.891%
2003-09-09oerwinv4_computers45000686250--0.0301.900%
2012-01-15bcp19Manual testing10000018500006--0.0742.864%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-10-18ANONYMOUSv4_computers212620.036
1998-11-07ANONYMOUSv4_computers212630.114
1999-10-15ANONYMOUSv4_computers212640.228
2013-11-04David CampeauManual testing2642650.434
2015-05-25VictordeHollanderManual testing2652660.868
2016-02-01snme2pm1Manual testing266267*
66.747
21
1.297


ECM factoring results:
Total ECM effort:1.191 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000031.191


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-04-12ANONYMOUSv4_computersFDB2B74735EC49F52.248
2003-06-23Team Prime Ribv4_computersF1539EA566B815942.248
2003-11-16oerwinv4_computersF1539EA566B815942.248


PRP results:
dateuseridcompidcofactorsres64
2018-12-04Oliver KruseGTX-1
123829599701044545457
318F4359AD6B426E
2020-08-05LOBESGoogleCloud
123829599701044545457
318F4359AD6B426E


CERT results:
No CERT results for M8609149


P-1 factor-bounds graph:
B1 = 100000, B2 = 1850000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 45000, B2 = 686250 (P-1 stage 2)
B1 = 45000, B2 = 675000 (P-1 stage 2)
B1 = 45000 (P-1 stage 1)
101
102
103
104
105
101
102
103
104
105
106
107
108
TF factor-bounds graph:
266
265
264
263
262
this exponent TF target: 68
TF double-checked to: 67
ECM T-Level=0.58 ~= -15-bit
250
260
270
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Last modified: 2024-03-13T02:15:48+00:00