is 2 2065117 - 1
has 621663 decimal digits
takes 0.136 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L52FE41AC7300FB17double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26714.388568.6567%500000150000000.12305.1428%14.511570.2686%1.6119%
PrimeNet2580.018663.7931%90001600000.00162.6693%0.020264.7596%0.9665%
GPU722620.297566.1290%90001300000.00151.3657%0.299066.5916%0.4626%
Difference+5+14.0910+2.5277%+491000+14870000+0.1215+3.7771%+14.2125+3.6770%+3.6770%

Known prime factors (2 factors, 130.9 bits, 0.00634013% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2065117127860333310278098412063.4713095716448760
23 × 3 × 5 × 13 × 229 × 8665649
2009-10-2822986656491.15560.04500.0841
20651172029919926058447997192167.46049147818890127
3 × 677 × 24198827617
2022-08-186772419882761726.316125.69234.76

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
2065117259546238339008232965879515353986223467940130.931
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-24T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.275%
2009-07-23T23:41:00harleeP4_260020000260000---0.003--1.017%
2016-03-16T13:43:09alpertronManual testing5000001500000012-
skipped known factor: 12786033331027809841
--0.123--5.143%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-10T00:00:00ANONYMOUSv4_computers21258--0.019--
2022-03-09T08:13:23LordJuliusManual testing21260--0.074--
2009-01-03T04:51:00Sturle Sundegraun.ifi260261--0.074--
TF assumed completed to 67 but no detailed record exists
2022-08-18T09:36:57TJAOIManual testing267268*67.4602111.930.27624.22


ECM factoring results:

Old Calculation Method

Total ECM effort:2.961 GHz-days
Estimated T-Level:1.550
DigitsB1CurvesCompleteFacMiss
201100031 / 1000.31073.230%
255000031 / 2800.11189.502%

New Calculation Method

Total ECM effort:2.961 GHz-days
Estimated T-Level:1.550
DigitsB1CompleteFacMiss
20110001.28227.747%
25500000.11888.855%
302500000.00899.252%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50000500000030.255
50000654254470.669
500006750000212.037


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-29T00:00:00ANONYMOUSv4_computers52FE41AC7300FB170.136


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-06T12:14:14Oliver KruseGTX-3
12786033331027809841
694F656927F4F9__no
2017-11-15T23:12:32ATHec2-1xf
12786033331027809841
694F656927F4F9__no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 20000, B2 = 260000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
268
267
261
260
258
250
260
270
280
290
2100
Last modified: 2022-08-18T09:36:57+00:00