is 2 464143 - 1
has 139721 decimal digits
takes 0.005 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L55B63F1CBD9632DFdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26764.018971.6418%30000001000000000.14157.2236%64.160473.6903%2.0485%
PrimeNet2400.000052.5000%45001500000.000218.4256%0.000261.2522%8.7522%
GPU722440.000056.8182%80002600000.000413.8922%0.000462.8171%5.9989%
Difference+23+64.0189+14.8236%+2992000+99740000+0.1411-6.6686%+64.1600+10.8732%+10.8732%

Known prime factors (1 factor, 72.5 bits, 0.01561058% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
46414364752505971525552942892272.4556975490955538008
23 × 439 × 1986187629709
2009-10-2743919861876297093,562.81,848.03,451.6

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-12-22T00:00:00ANONYMOUSv4_computers2000200000---0.000--0.173%
2002-01-02T00:00:00ANONYMOUSv4_computers500001000000---0.002--1.490%
2002-06-23T00:00:00ANONYMOUSv4_computers327683276800---0.004--1.735%
2002-09-14T00:00:00ANONYMOUSv4_computers655366553600---0.007--2.466%
2009-08-26T23:36:00Carsten Kossendeyleela464143464143---0.008--1.567%
unknown3000000100000000---0.141--7.224%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-04-19T00:00:00ANONYMOUSv4_computers21254--0.005--
2022-03-07T07:15:44LordJuliusManual testing254255--0.005--
2001-03-25T00:00:00ANONYMOUSv4_computers21256--0.021--
2002-02-03T00:00:00ANONYMOUSv4_computers21257--0.041--
2004-01-07T00:00:00ANONYMOUSv4_computers21258--0.083--


ECM factoring results:

Old Calculation Method

Total ECM effort:12.904 GHz-days
Estimated T-Level:26.125
DigitsB1CurvesCompleteFacMiss
2011000424 / 1004.2401.410%
2550000424 / 2801.51421.937%
30250000144 / 6400.22579.838%

New Calculation Method

Total ECM effort:12.904 GHz-days
Estimated T-Level:26.125
DigitsB1CompleteFacMiss
201100023.8600.000%
25500003.0254.858%
302500000.28775.066%
3510000000.02297.833%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002803.613
250000250000001449.291


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-11-11T00:00:00ANONYMOUSv4_computers55B63F1CBD9632DF0.005


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-25T14:58:08Oliver KruseDoppelherz
6475250597152555294289
D781B43F81360B__no
2017-09-27T07:34:44Oliver KruseManual testing
6475250597152555294289
D781B43F81360B__no
2017-11-07T07:08:02kkmrkkblmbrbkc4.xlarge
6475250597152555294289
D781B43F81360B__no
2020-04-18T20:21:03Oliver KruseAddPrpType5
6475250597152555294289
48AEF1D572C8E2__no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 464143 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 50000, B2 = 1000000 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 2000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-03-07T07:15:44+00:00