is 2 8631269 - 1
has 2598271 decimal digits
takes 2.254 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L7E16AC8E0B2DAC3Bdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2686.905764.7059 %10000018500000.07402.8652 %6.979765.7171 %
Target2686.905764.7059 %5500060000000.14352.2940 %7.049165.5155 %
Difference---+45000-4150000-0.0695+0.5711%-0.0695+0.2016 %

Known prime factors (1 factor, 71.5 bits, 0.00082864% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
863126933905302134410085510712271.522196409717588515
5 × 31 × 73 × 17358348881
2019-07-26731735834888155.389358.06668.76

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2000-06-23Brian Schroederv4_computers90000832500--0.0492.298%
2012-10-20NesowaWork10000018500006--0.0742.865%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-10-18KA9DGXv4_computers212610.018
1998-11-07ANONYMOUSv4_computers212620.036
1998-11-14ANONYMOUSv4_computers212630.114
2000-01-25ANONYMOUSv4_computers212640.227
2014-01-25lycornManual testing2642650.433
2015-05-25VictordeHollanderManual testing2652660.866
2016-02-04snme2pm1Manual testing2662671.732
2018-04-21monstManual testing2672683.463


ECM factoring results:
Total ECM effort:2.382 GHz-days
Estimated T-Level:1.154
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
50000500000031.191
50000500000031.191


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-09-22Brian Schroederv4_computers7E16AC8E0B2DAC3B2.254
2002-12-25awc13v4_computers7E16AC8E0B2DAC3B2.254


PRP results:
dateuseridcompidcofactorsres64
2019-07-27Niels_Mache_NextcloudSuperDry-X
3390530213441008551071
AC6D3FE20438BD79
2020-08-11kutensrigel
3390530213441008551071
AC6D3FE20438BD79


CERT results:
No CERT results for M8631269


P-1 factor-bounds graph:
B1 = 100000, B2 = 1850000 (P-1 stage 2)
B1 = 90000, B2 = 832500 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 90000 (P-1 stage 1)
100
101
102
103
104
105
100
101
102
103
104
105
106
107
108
109
1010
1011
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=1.15 ~= -13-bit
250
260
270
280
JSON version of this page
Last modified: 2024-02-09T03:30:02+00:00