is 2 299567 - 1
has 90179 decimal digits
takes 0.002 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L5CDFEA93C3C52DD7double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26799.189671.6418%100000004000000000.32229.3043%99.511874.2803%2.6385%
PrimeNet2400.000052.5000%3200900000.000115.5646%0.000159.8932%7.3932%
GPU722440.000056.8182%55001400000.000111.2411%0.000161.6723%4.8541%
Difference+23+99.1895+14.8236%+9994500+399860000+0.3221-1.9368%+99.5116+12.6080%+12.6080%

Known prime factors (1 factor, 88.2 bits, 0.02943420% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2995673494342789255692260548382412788.175583232263442851225360
24 × 5 × 4261 × 1710960641407097
2019-09-1542611710960641407097352,381,752961,1801,795,216

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-05-20T00:00:00ANONYMOUSv4_computers10000010000000---0.007--2.787%
2002-06-09T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.604%
2002-06-15T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.604%
2002-08-17T00:00:00ANONYMOUSv4_computers655366553600---0.004--2.299%
2003-03-16T00:00:00ANONYMOUSv4_computers13107213107200---0.009--3.123%
2003-12-13T00:00:00ANONYMOUSv4_computers26214426214400---0.017--4.062%
2006-01-15T00:00:00Jocelyn Larouchev4_computers299567299567---0.003--1.183%
2008-11-15T07:28:00Jayson Kingatlas10000000400000000---0.322--9.304%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-04-23T11:03:51nordisweet161000000050000000027--0.418
2021-04-30T23:56:49nordisweet161000000050000000065--0.418


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-24T00:00:00ANONYMOUSv4_computers252253--0.002--
2000-05-05T00:00:00ANONYMOUSv4_computers21254--0.008--
2022-03-07T06:12:00LordJuliusManual testing254255--0.008--
2001-03-17T00:00:00ANONYMOUSv4_computers21256--0.032--
2002-02-17T00:00:00ANONYMOUSv4_computers21257--0.064--
2004-02-07T00:00:00ANONYMOUSv4_computers21258--0.128--
2009-01-02T07:16:00Sturle Sundegoldiek.ifi258259--0.128--
2009-01-24T03:40:00Sturle Sundeghibu.ifi259260--0.256--
2013-06-11T13:47:00lycornasteroid260261--0.513--
2015-08-13T13:31:00NRManual testing261262--1.025--
2016-01-03T22:09:36Gordon SpenceManual testing262263--3.277--
2016-01-03T22:09:36Gordon SpenceManual testing263264--6.554--
2017-08-26T20:20:25ConductorManual testing264265--12.47--


ECM factoring results:

Old Calculation Method

Total ECM effort:14.306 GHz-days
Estimated T-Level:27.492
DigitsB1CurvesCompleteFacMiss
2011000600 / 1006.0000.241%
2550000600 / 2802.14311.687%
30250000319 / 6400.49860.724%

New Calculation Method

Total ECM effort:14.306 GHz-days
Estimated T-Level:27.492
DigitsB1CompleteFacMiss
201100035.6480.000%
25500004.6630.944%
302500000.46562.796%
3510000000.03796.385%
4030000000.00299.761%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002812.143
250000250000001485.643
250000250000001716.520


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-11-24T00:00:00KUNCEVO6v4_computers5CDFEA93C3C52DD70.002


PRP results:
dateuseridcompidcofactorsres64PRP
2019-09-15T06:39:40nordinordiputer
349434278925569226054838241
93E47A30365AE4A2no
2019-09-15T06:53:18ATHec2-PRPCFDC
349434278925569226054838241
93E47A30365AE4A2no


P-1 factor-bounds graph:
B1 = 10000000, B2 = 400000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 299567 (P-1 stage 1)
B1 = 262144 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-03-07T06:12:00+00:00