is 2 3302149 - 1
has 994046 decimal digits
takes 0.347 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LBDA0DEA2BBD25A8Adouble-checked
PRP18794DCB96837446verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27072.362268.5714%110867384102093095.00009.3126%77.362271.4982%2.9268%
PrimeNet2600.046563.3333%140002600000.00422.7788%0.050764.3522%1.0189%
GPU722641.077965.6250%170003000000.00491.7224%1.082866.2171%0.5921%
Difference+6+71.2843+2.9464%+11069738+409909309+4.9951+7.5902%+76.2793+5.2812%+5.2812%

Known prime factors (1 factor, 76.1 bits, 0.00230579% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3302149832962721541939272320312376.14112612433926239235
33 × 5 × 11 × 2879 × 2950059569
2021-01-26287929500595697,117.424.47845.717

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-03T00:38:00Carsten Kossendeydurandal15000191250---0.004--0.573%
2011-09-29T06:13:00harleeP4_260055000880000---0.015--1.390%
2012-11-13T06:12:00Squeeky_SquirrelT7500_22002050004612500---0.068--2.776%
2018-08-06T19:37:29Jocelyn Larouchelow 4M410000820000---0.066--1.863%
2018-08-07T17:09:30Jocelyn Larouchelow 4M4100001230000---0.069--2.142%
2018-08-08T12:55:44Jocelyn Larouchelow 4M4100001640000---0.073--2.342%
2018-08-08T23:04:23Jocelyn Larouchelow 4M4100002050000---0.076--2.499%
2018-08-11T22:24:54Jocelyn Larouchelow 4M4100004100000---0.093--2.993%
2019-12-22T19:53:40GdSManual testing1108673841020930912---5.000--9.313%
2022-04-02T19:48:42Jocelyn LaroucheManual testing1000000134316000---1.258--6.433%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-05-20T00:00:00ANONYMOUSv4_computers21260--0.047--
2009-04-01T15:38:00S485122USB-A260261--0.047--
2011-09-13T20:31:00markrManual testing21262--0.186--
2012-08-25T21:54:00GrunwalderGIMPManual testing21263--0.483--
2016-02-23T16:29:25Mark RoseManual testing262263--0.297--
2015-02-07T18:05:00VictordeHollanderManual testing263264--0.595--
2015-02-07T18:05:00VictordeHollanderManual testing264265--1.131--
2016-02-29T09:31:00ramgeisManual testing265266--2.263--
2017-02-21T14:29:04Gordon SpenceManual testing266267--4.526--
2018-12-10T15:07:53TJAOIManual testing267268--9.052--
2019-12-13T22:09:33GdSManual testing268269--18.10--
2019-12-13T22:09:33GdSManual testing269270--36.21--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.207 GHz-days
Estimated T-Level:1.100
DigitsB1CurvesCompleteFacMiss
201100022 / 1000.22080.163%
255000022 / 2800.07992.431%

New Calculation Method

Total ECM effort:3.207 GHz-days
Estimated T-Level:1.100
DigitsB1CompleteFacMiss
20110000.71049.180%
25500000.06493.787%
302500000.00499.606%


ECM Summary

B1B2factorcurvesGHz-days
500005000000152.187
50000500000071.021


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-03-17T00:00:00ANONYMOUSv4_computersBDA0DEA2BBD25A8A0.347
1999-06-15T00:00:00ANONYMOUSv4_computersBDA0DEA2BBD25A8A0.347


PRP results:
dateuseridcompidcofactorsres64PRP
2021-01-26T21:56:29ViliamF3
83296272154193927232031
18794DCB96837446no


P-1 factor-bounds graph:
B1 = 11086738, B2 = 410209309 (P-1 stage 2)
B1 = 11086738 (P-1 stage 1)
B1 = 1000000, B2 = 134316000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 410000, B2 = 4100000 (P-1 stage 2)
B1 = 410000, B2 = 2050000 (P-1 stage 2)
B1 = 410000, B2 = 1640000 (P-1 stage 2)
B1 = 410000, B2 = 1230000 (P-1 stage 2)
B1 = 205000, B2 = 4612500 (P-1 stage 2)
B1 = 410000, B2 = 820000 (P-1 stage 2)
B1 = 410000 (P-1 stage 1)
B1 = 205000 (P-1 stage 1)
B1 = 55000, B2 = 880000 (P-1 stage 2)
B1 = 55000 (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: 2022-04-02T19:48:42+00:00