is 2 3304607 - 1
has 994786 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-L-unknown--unknown-
PRPD078AADAECAA3F3Everified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26818.036967.6471%40000001500000001.82068.7876%19.857570.4901%2.8430%
PrimeNet2600.046563.3333%140002600000.00422.7791%0.050764.3523%1.0190%
GPU722641.077165.6250%170003000000.00491.7226%1.082066.2172%0.5922%
Difference+4+16.9598+2.0221%+3983000+149700000+1.8156+7.0649%+18.7754+4.2729%+4.2729%

Known prime factors (1 factor, 76.5 bits, 0.00231459% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
33046071059764585545788492631192476.48816034653826397337
2868043 × 5590799659
2021-01-26286804355907996599,239.246.80186.640

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-03T00:39:00Carsten Kossendeydurandal15000195000---0.004--0.793%
2011-09-29T19:00:00harleeP4_260055000880000---0.015--1.810%
2012-11-14T12:14:00Squeeky_SquirrelP4_26002050004612500---0.068--3.455%
2018-08-06T19:37:30Jocelyn Larouchelow 4M410000820000---0.066--2.340%
2018-08-07T17:09:31Jocelyn Larouchelow 4M4100001230000---0.069--2.673%
2018-08-08T12:55:45Jocelyn Larouchelow 4M4100001640000---0.073--2.912%
2018-08-08T23:04:24Jocelyn Larouchelow 4M4100002050000---0.076--3.099%
2018-08-11T22:24:56Jocelyn Larouchelow 4M4100004100000---0.093--3.687%
2020-01-26T07:40:43mikrMSI400000015000000012---1.821--8.788%
2022-04-02T19:48:41Jocelyn LaroucheManual testing1000000134316000---1.258--7.656%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2009-03-30T15:07:00S485122USB-Z260261--0.046--
2011-09-10T22:32:00markrManual 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--0.594--
2015-02-07T18:05:00VictordeHollanderManual testing264265--1.131--
2016-02-29T16:08:41ramgeisManual testing265266--2.261--
2017-02-21T14:29:05Gordon SpenceManual testing266267--4.523--
2018-12-10T15:07:52TJAOIManual testing267268--9.045--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.770 GHz-days
Estimated T-Level:0.950
DigitsB1CurvesCompleteFacMiss
201100019 / 1000.19082.617%
255000019 / 2800.06893.428%

New Calculation Method

Total ECM effort:2.770 GHz-days
Estimated T-Level:0.950
DigitsB1CompleteFacMiss
20110000.61354.178%
25500000.05594.611%
302500000.00399.659%


ECM Summary

B1B2factorcurvesGHz-days
500005000000152.187
50000500000040.583


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-26T00:00:00ANONYMOUSv4_computers083AF9CB27AB8B__0.347


PRP results:
dateuseridcompidcofactorsres64PRP
2021-01-26T15:16:02mrhlanai
105976458554578849263119
D078AADAECAA3F3Eno


P-1 factor-bounds graph:
B1 = 4000000, B2 = 150000000 (P-1 stage 2)
B1 = 1000000, B2 = 134316000 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
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 = 195000 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
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1010
TF factor-bounds graph:
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2100
Last modified: 2022-04-02T19:48:41+00:00