is 2 3297367 - 1
has 992607 decimal digits
takes 0.346 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L5159ED14D6A4713Adouble-checked
PRPC4F2A1AA17B615DDverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26818.076567.6471%3000000900000001.17877.9646%19.255270.2238%2.5768%
PrimeNet2600.046663.3333%140002600000.00422.7780%0.050864.3519%1.0186%
GPU722641.079465.6250%170003000000.00491.7219%1.084466.2169%0.5919%
Difference+4+16.9971+2.0221%+2983000+89700000+1.1738+6.2427%+18.1709+4.0069%+4.0069%

Known prime factors (1 factor, 70.8 bits, 0.00214829% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
329736721089018955947740086972270.837319785740500644
22 × 32 × 11 × 807539748739
2021-06-271180753974873976.6116,700.312,514

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-10T06:13:00Carsten Kossendeydurandal15000191250---0.004--0.787%
2011-09-27T23:42:00harleeP4_2600600001065000---0.017--1.940%
2013-09-11T00:24:00Squeeky_SquirrelP4_26001150002673750---0.039--2.775%
2017-01-19T17:19:03Jocelyn Larouchelow 4M138000138000---0.021--1.039%
2017-01-30T01:30:46Jocelyn Larouchelow 4M165600165600---0.025--1.146%
2017-02-04T18:42:57Jocelyn Larouchelow 4M198720198720---0.030--1.260%
2017-02-25T21:03:19Jocelyn Larouchelow 4M23846423846406---0.054--3.032%
2018-01-08T02:02:48Jocelyn Larouchelow 4M476928476928---0.073--1.899%
2020-02-13T08:19:44BigBrotherWinston30000009000000012---1.179--7.965%
2022-01-24T05:49:29Jocelyn LaroucheManual testing1213856119912100---1.170--7.687%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-01-27T00:00:00mhoneyv4_computers21259--0.023--
1998-08-02T00:00:00ANONYMOUSv4_computers21260--0.047--
1998-08-09T00:00:00ANONYMOUSv4_computers21260--0.047--
2009-03-31T16:20:00S485122USB-A260261--0.047--
2011-10-06T18:20:00Grant McCrackenhome261262--0.093--
2012-12-17T19:37:00lycornManual testing262264--0.893--
2013-10-25T11:51:00David CampeauManual testing264265--1.133--
2015-07-02T14:57:00ThaManual testing265266--2.266--
2017-04-08T22:45:38Gordon SpenceManual testing266267--4.533--
2018-11-05T15:44:32TJAOIManual testing267268--9.065--


ECM factoring results:

Old Calculation Method

Total ECM effort:7.287 GHz-days
Estimated T-Level:2.500
DigitsB1CurvesCompleteFacMiss
201100050 / 1000.50060.501%
255000050 / 2800.17983.620%

New Calculation Method

Total ECM effort:7.287 GHz-days
Estimated T-Level:2.500
DigitsB1CompleteFacMiss
20110001.61319.931%
25500000.14686.435%
302500000.00999.106%


ECM Summary

B1B2factorcurvesGHz-days
500005000000436.267
50000500000071.020


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-09-06T00:00:00ANONYMOUSv4_computers5159ED14D6A4713A0.346
1999-08-22T00:00:00ANONYMOUSv4_computers5159ED14D6A4713A0.346


PRP results:
dateuseridcompidcofactorsres64PRP
2021-06-28T18:30:00kutensrigel
2108901895594774008697
C4F2A1AA17B615DDno


P-1 factor-bounds graph:
B1 = 3000000, B2 = 90000000 (P-1 stage 2)
B1 = 1213856, B2 = 119912100 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 1213856 (P-1 stage 1)
B1 = 476928 (P-1 stage 1)
B1 = 238464, B2 = 2384640 (P-1 stage 2)
B1 = 115000, B2 = 2673750 (P-1 stage 2)
B1 = 238464 (P-1 stage 1)
B1 = 198720 (P-1 stage 1)
B1 = 165600 (P-1 stage 1)
B1 = 138000 (P-1 stage 1)
B1 = 115000 (P-1 stage 1)
B1 = 60000, B2 = 1065000 (P-1 stage 2)
B1 = 60000 (P-1 stage 1)
B1 = 15000, B2 = 191250 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-01-24T05:49:29+00:00