is 2 3206561 - 1
has 965272 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-L30D6BF127B972DF0double-checked
PRP08188E08038482E5verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26937.232068.1159%40000001500000001.47538.1001%38.707470.6986%2.5827%
PrimeNet2600.047963.3333%130002400000.00312.6584%0.051064.3081%0.9748%
GPU722641.110065.6250%160002600000.00361.6163%1.113666.1806%0.5556%
Difference+5+36.1220+2.4909%+3984000+149740000+1.4717+6.4838%+37.5937+4.5180%+4.5180%

Known prime factors (1 factor, 77.9 bits, 0.00243072% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
32065612903967762956971746513192477.94245281654753441019
3 × 29 × 520478790269437
2021-01-112952047879026943712,2293,499,5846,536,248

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2015-12-05T09:34:34HBendtzManual testing5000001200000012---0.139--4.278%
2020-01-03T07:27:45mikrMSI400000015000000012---1.475--8.100%
2021-01-14T13:16:35Jocelyn LaroucheManual testing320656320656---0.040--1.399%
2021-01-16T17:21:44Jocelyn LaroucheManual testing32065632065616---0.059--3.029%
2022-01-24T00:02:02Jocelyn LaroucheManual testing1070656119912100---0.931--6.938%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1997-12-21T00:00:00Brian Jongekrygv4_computers21259--0.024--
1998-08-30T00:00:00Brian Jongekrygv4_computers21259--0.024--
1998-11-07T00:00:00Brian Jongekrygv4_computers21259--0.024--
2001-08-12T00:00:00ANONYMOUSv4_computers21260--0.048--
2016-02-23T16:29:25Mark RoseManual testing260261--0.048--
2011-06-27T09:07:00markrManual 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--2.330--
2017-03-15T13:25:43Gordon SpenceManual testing266267--4.661--
2019-01-21T12:54:05TJAOIManual testing267268--9.322--
2021-12-13T11:39:36Jocelyn LaroucheManual testing268269--18.64--


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)
1998-01-05T00:00:00Brian Jongekrygv4_computers30D6BF127B972DF00.273
1998-08-30T00:00:00Brian Jongekrygv4_computers30D6BF127B972DF00.273
1998-11-07T00:00:00Brian Jongekrygv4_computers30D6BF127B972DF00.273
2000-02-16T00:00:00ANONYMOUSv4_computers30D6BF127B972DF00.273


PRP results:
dateuseridcompidcofactorsres64PRP
2021-01-11T11:42:35riccardo ubertiNomad2C
290396776295697174651319
08188E08038482E5no


P-1 factor-bounds graph:
B1 = 4000000, B2 = 150000000 (P-1 stage 2)
B1 = 1070656, B2 = 119912100 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 500000, B2 = 12000000 (P-1 stage 2)
B1 = 1070656 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 320656, B2 = 3206561 (P-1 stage 2)
B1 = 320656 (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