is 2 3205919 - 1
has 965078 decimal digits
takes 0.273 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRPA86D56F9D37E9815verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26937.239568.1159%40000001500000001.47538.1000%38.714870.6985%2.5826%
PrimeNet2600.047963.3333%130002400000.00312.6583%0.051064.3081%0.9747%
GPU722641.110265.6250%160002600000.00361.6163%1.113966.1806%0.5556%
Difference+5+36.1293+2.4909%+3984000+149740000+1.4717+6.4837%+37.6010+4.5180%+4.5180%

Known prime factors (1 factor, 69.1 bits, 0.00215403% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
32059196138650465986062648172169.05695739325697032
23 × 11967415712129
2021-01-1081196741571212971.56480,466150,289

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2014-08-21T21:47:00Jocelyn LaroucheManual testing8555785557---0.011--0.679%
2014-11-06T23:05:00Jocelyn LaroucheManual testing105578105578---0.013--0.772%
2015-10-02T00:19:36Squeeky_SquirrelP4_26001550003952500---0.045--2.843%
2017-01-30T01:31:05Jocelyn Larouchelow 4M186000186000---0.023--1.062%
2017-03-23T08:16:46Squeeky_SquirrelP4_2600200000555000012---0.061--3.199%
2018-07-24T12:57:27Jocelyn Larouchelow 4M4000001598000---0.057--2.577%
2018-07-25T17:21:12Jocelyn Larouchelow 4M4000003313612---0.069--3.136%
2018-07-25T21:59:28Jocelyn Larouchelow 4M4000004000000---0.074--3.282%
2019-12-31T13:48:22mikrMSI400000015000000012---1.475--8.100%
2021-01-18T06:10:45Jocelyn LaroucheManual testing42000032059196---0.071--3.127%
2022-02-07T00:51:02Jocelyn LaroucheManual testing1000000119912100---0.923--6.884%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-08-12T00:00:00ANONYMOUSv4_computers21260--0.048--
2009-04-06T07:08:00S485122USB-Z260261--0.048--
2011-06-21T02:20:00markrManual testing261262--0.096--
2013-01-03T08:47:00dbaughManual testing262263--0.306--
2015-02-15T12:51:00VictordeHollanderManual testing263264--0.612--
2015-02-15T12:51:00VictordeHollanderManual testing264265--1.165--
2015-06-21T21:40:00ThaManual testing265266--2.331--
2021-02-21T11:36:42Jocelyn LaroucheManual testing265266--2.331--
2021-02-22T09:03:45Jocelyn LaroucheManual testing266267--4.662--
2017-03-15T13:25:43Gordon SpenceManual testing266267--4.662--
2019-01-21T12:54:05TJAOIManual testing267268--9.324--
2021-12-12T07:47:45Jocelyn LaroucheManual testing268269--18.65--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.697 GHz-days
Estimated T-Level:1.350
DigitsB1CurvesCompleteFacMiss
201100027 / 1000.27076.234%
255000027 / 2800.09690.792%

New Calculation Method

Total ECM effort:3.697 GHz-days
Estimated T-Level:1.350
DigitsB1CompleteFacMiss
20110001.12432.500%
25500000.11089.607%
302500000.00799.267%


ECM Summary

B1B2factorcurvesGHz-days
500005000000222.585
800001128000000.00000e+0
800001128000051.112


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-26T00:00:00ANONYMOUSv4_computers7C6AF178E95A64__0.273


PRP results:
dateuseridcompidcofactorsres64PRP
2021-01-10T14:05:21EricBockalux
613865046598606264817
A86D56F9D37E9815no


P-1 factor-bounds graph:
B1 = 4000000, B2 = 150000000 (P-1 stage 2)
B1 = 1000000, B2 = 119912100 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 400000, B2 = 4000000 (P-1 stage 2)
B1 = 420000, B2 = 3205919 (P-1 stage 2)
B1 = 400000, B2 = 3313612 (P-1 stage 2)
B1 = 200000, B2 = 5550000 (P-1 stage 2)
B1 = 400000, B2 = 1598000 (P-1 stage 2)
B1 = 420000 (P-1 stage 1)
B1 = 400000 (P-1 stage 1)
B1 = 155000, B2 = 3952500 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 186000 (P-1 stage 1)
B1 = 155000 (P-1 stage 1)
B1 = 105578 (P-1 stage 1)
B1 = 85557 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-02-07T00:51:02+00:00