is 2 8610061 - 1
has 2591887 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-LEB1FA63ACA08C1F1double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2686.922764.7059 %10000018250000.07342.8550 %6.996165.7135 %
Target2686.922764.7059 %5500060000000.14352.2931 %7.066265.5152 %
Difference---+45000-4175000-0.0700+0.5619%-0.0700+0.1983 %

Known prime factors (1 factor, 77.6 bits, 0.00090155% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
86100612329163845233168364566012477.62413525826618610300
22 × 3 × 52 × 89393 × 504358157
2019-06-19893935043581573,554.910.43619.431

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-11-24JCv4_computers45000675000--0.0301.891%
2012-03-02bcp19Turion_x210000018250006--0.0732.855%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-10-11ANONYMOUSv4_computers212620.036
1998-11-07ANONYMOUSv4_computers212630.114
1999-11-04ANONYMOUSv4_computers212640.228
2013-11-04David CampeauManual testing2642650.434
2015-05-25VictordeHollanderManual testing2652660.868
2016-02-02snme2pm1Manual testing2662671.736
2018-04-05monstManual testing2672683.472


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_computersEB1FA63ACA08C1F12.248
2002-11-24JCv4_computersEB1FA63ACA08C1F12.248


PRP results:
dateuseridcompidcofactorsres64
2019-06-20Niels_Mache_NextcloudSuperDry-X
232916384523316836456601
459D4ED35D7EF3F5
2020-08-05pew10980xe_1
232916384523316836456601
459D4ED35D7EF3F5


CERT results:
No CERT results for M8610061


P-1 factor-bounds graph:
B1 = 100000, B2 = 1825000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 45000, B2 = 675000 (P-1 stage 2)
B1 = 45000 (P-1 stage 1)
103
104
105
103
104
105
106
107
108
109
TF factor-bounds graph:
268
267
266
265
264
263
262
this exponent TF target: 68
TF double-checked to: 67
ECM T-Level=0.77 ~= -14-bit
250
260
270
280
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Last modified: 2024-02-09T03:30:02+00:00