is 2 3326753 - 1
has 1001453 decimal digits
takes 0.349 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-
PRPB381F3D7832B9ADDverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26817.916867.6471%3000000900000001.17877.9716%19.095670.2261%2.5791%
PrimeNet2600.046263.3333%140002600000.00422.7824%0.050364.3536%1.0202%
GPU722641.069965.6250%170003000000.00491.7248%1.074866.2179%0.5929%
Difference+4+16.8469+2.0221%+2983000+89700000+1.1738+6.2468%+18.0207+4.0082%+4.0082%

Known prime factors (1 factor, 70.9 bits, 0.00213186% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
332675322363966745067277979512270.922336123041672575
52 × 13444921666903
2021-03-062513444921666903138.96111,555208,354

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-08-14T06:27:00Carsten Kossendeydurandal15000195000---0.004--0.794%
2010-09-14T19:37:00markrtiny950002042500---0.031--2.516%
2016-04-21T23:51:16harleeP4_2600225000658125012---0.087--3.778%
2020-01-10T04:21:42BigBrotherWinston30000009000000012---1.179--7.972%
2022-04-08T06:41:06Jocelyn LaroucheManual testing1000000115661700---1.104--7.499%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-09-01T00:00:00ANONYMOUSv4_computers21260--0.046--
2009-03-30T15:05:00S485122USB-A260261--0.046--
2011-09-04T12:57:00markroldgamer261262--0.092--
2012-08-25T21:54:00GrunwalderGIMPManual testing21263--0.480--
2016-02-23T16:29:25Mark RoseManual testing262263--0.295--
2015-02-11T09:06:00VictordeHollanderManual testing263264--0.590--
2015-02-11T09:06:00VictordeHollanderManual testing264265--1.123--
2016-03-02T10:47:00ramgeisManual testing265266--2.246--
2017-02-27T22:17:41Gordon SpenceManual testing266267--4.493--
2018-11-19T15:52:49TJAOIManual testing267268--8.985--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.942 GHz-days
Estimated T-Level:1.350
DigitsB1CurvesCompleteFacMiss
201100027 / 1000.27076.234%
255000027 / 2800.09690.792%

New Calculation Method

Total ECM effort:3.942 GHz-days
Estimated T-Level:1.350
DigitsB1CompleteFacMiss
20110001.03835.400%
25500000.09690.839%
302500000.00699.396%


ECM Summary

B1B2factorcurvesGHz-days
500005000000223.212
50000500000050.730


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-30T00:00:00ANONYMOUSv4_computersA9CD4A364BA3BC__0.349


PRP results:
dateuseridcompidcofactorsres64PRP
2021-03-06T15:27:39mrhw
2236396674506727797951
B381F3D7832B9ADDno


P-1 factor-bounds graph:
B1 = 3000000, B2 = 90000000 (P-1 stage 2)
B1 = 1000000, B2 = 115661700 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 225000, B2 = 6581250 (P-1 stage 2)
B1 = 225000 (P-1 stage 1)
B1 = 95000, B2 = 2042500 (P-1 stage 2)
B1 = 95000 (P-1 stage 1)
B1 = 15000, B2 = 195000 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-04-08T06:41:06+00:00