is 2 11608661 - 1
has 3494556 decimal digits
takes 4.469 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L1E822213E81A5C08double-checked
PRP2CA1B14C80C8C1B3verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2672.559664.1791%1200008700000.08982.8593%2.649465.2033%1.0242%
PrimeNet2640.306662.5000%5000015000000.07204.0262%0.378664.0098%1.5098%
GPU722685.134564.7059%8000020000000.10312.9264%5.237665.7387%1.0329%
Difference-1-2.5749-0.5268%+40000-1130000-0.0133-0.0671%-2.5881-0.5354%-0.5354%

Known prime factors (1 factor, 82.7 bits, 0.00071225% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1160866177601211953853259953198792582.682334238427471752599
192 × 23 × 29 × 179743 × 7722739
2017-11-051797437722739153,7540.32980.4387

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-11-25T00:00:00ANONYMOUSv4_computers120000870000---0.090--2.859%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-04-27T00:00:00ANONYMOUSv4_computers21264--0.307--
2013-11-05T18:35:00lycornManual testing264265--0.322--
2014-08-27T18:30:00NRManual testing265266--0.644--
2016-01-15T21:22:27VictordeHollanderManual testing266267--1.287--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.171 GHz-days
Estimated T-Level:0.100
DigitsB1CurvesCompleteFacMiss
20110002 / 1000.02098.010%
25500002 / 2800.00799.287%

New Calculation Method

Total ECM effort:1.171 GHz-days
Estimated T-Level:0.100
DigitsB1CompleteFacMiss
20110000.07792.596%
25500000.00799.291%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010.585
50000500000010.585


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-03-05T00:00:00ANONYMOUSv4_computers1E822213E81A5C084.469
2004-04-29T00:00:00Oleg V.Catv4_computers1E822213E81A5C084.469


PRP results:
dateuseridcompidcofactorsres64PRP
2021-09-17T13:23:03GANLMS-11
7760121195385325995319879
2CA1B14C80C8C1B3no


P-1 factor-bounds graph:
B1 = 120000, B2 = 870000 (P-1 stage 2)
B1 = 120000 (P-1 stage 1)
104
105
106
104
105
106
107
TF factor-bounds graph:
267
266
265
264
250
260
270
280
290
2100
Last modified: 2021-09-17T13:23:03+00:00