is 2 3206321 - 1
has 965199 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-LFA0A850ADD5C3294double-checked
PRP323E8EC3031CA033verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26937.234868.1159%40000001500000001.47538.1001%38.710170.6986%2.5826%
PrimeNet2600.047963.3333%130002400000.00312.6584%0.051064.3081%0.9747%
GPU722641.110165.6250%160002600000.00361.6163%1.113766.1806%0.5556%
Difference+5+36.1247+2.4909%+3984000+149740000+1.4717+6.4838%+37.5964+4.5180%+4.5180%

Known prime factors (1 factor, 81.9 bits, 0.00255580% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
320632146622781188283323950070092581.947727044815355095824
24 × 8570461 × 5301966949
2021-01-1085704615301966949174,69236.64966.583

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2014-08-21T21:47:00Jocelyn LaroucheManual testing8555485554---0.011--0.679%
2014-11-06T23:05:00Jocelyn LaroucheManual testing105572105572---0.013--0.772%
2015-10-02T04:56:39Squeeky_SquirrelP4_26001550003952500---0.045--2.843%
2017-01-30T01:31:05Jocelyn Larouchelow 4M186000186000---0.023--1.062%
2017-03-23T14:36:27Squeeky_SquirrelP4_2600200000555000012---0.061--3.199%
2018-07-24T12:57:25Jocelyn Larouchelow 4M400000400000---0.049--1.552%
2018-07-27T18:51:12Jocelyn Larouchelow 4M40000040000006---0.074--3.282%
2020-01-01T17:15:09mikrMSI400000015000000012---1.475--8.100%
2021-01-18T13:43:03Jocelyn LaroucheManual testing42000032063216---0.071--3.127%
2022-01-24T00:02:02Jocelyn LaroucheManual testing1070632119912100---0.931--6.938%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-02-01T00:00:00Ethan O'Connorv4_computers21259--0.024--
2001-08-12T00:00:00ANONYMOUSv4_computers21260--0.048--
2009-04-07T22:18:00S485122USB-A260261--0.048--
2011-06-23T02:57:00markrManual 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--
2021-02-22T09:03:46Jocelyn LaroucheManual testing266267--4.661--
2017-03-15T13:25:43Gordon SpenceManual testing266267--4.661--
2019-01-21T12:54:05TJAOIManual testing267268--9.323--
2022-01-05T10:04:44Jocelyn 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
800001128000040.889
800001128000010.222


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-03-03T00:00:00Ethan O'Connorv4_computersFA0A850ADD5C32940.273
1999-11-17T00:00:00ANONYMOUSv4_computersFA0A850ADD5C32940.273


PRP results:
dateuseridcompidcofactorsres64PRP
2021-01-15T05:16:29EricBockalux
4662278118828332395007009
323E8EC3031CA033no


P-1 factor-bounds graph:
B1 = 4000000, B2 = 150000000 (P-1 stage 2)
B1 = 1070632, B2 = 119912100 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 1070632 (P-1 stage 1)
B1 = 400000, B2 = 4000000 (P-1 stage 2)
B1 = 420000, B2 = 3206321 (P-1 stage 2)
B1 = 200000, B2 = 5550000 (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 = 105572 (P-1 stage 1)
B1 = 85554 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-01-24T00:02:02+00:00