is 2 3284443 - 1
has 988716 decimal digits
takes 0.345 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-
PRP37A0F5AC059CA80Cverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26818.147667.6471%40000001500000001.82068.7825%19.968270.4885%2.8414%
PrimeNet2600.046863.3333%140002600000.00422.7761%0.050964.3512%1.0179%
GPU722641.083765.6250%170002800000.00481.6877%1.088566.2052%0.5802%
Difference+4+17.0639+2.0221%+3983000+149720000+1.8158+7.0948%+18.8797+4.2833%+4.2833%

Known prime factors (1 factor, 75.1 bits, 0.00228653% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3284443404864434307681757875992375.1006163365208464293
1609 × 2609 × 1468208653
2021-03-12260914682086534,262.712.18222.753

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-09T19:16:00Carsten Kossendeydurandal15000191250---0.004--0.787%
2011-09-22T16:42:00harleeP4_2600600001065000---0.017--1.939%
2014-06-26T21:22:00ANONYMOUSManual testing7954279542---0.012--0.754%
2014-10-10T20:28:00Jocelyn LaroucheManual testing9908499084---0.015--0.861%
2016-01-25T11:49:46Jocelyn LaroucheManual testing38340038340006---0.087--3.600%
2021-03-16T13:38:18mikrMSI400000015000000012---1.821--8.782%
2022-04-02T19:48:43Jocelyn LaroucheManual testing1000000134316000---1.258--7.651%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-06-30T00:00:00ANONYMOUSv4_computers21260--0.047--
2009-04-01T15:39:00S485122USB-Z260261--0.047--
2011-09-30T01:54:00markroldgamer261262--0.094--
2012-12-30T00:06:00dbaughManual testing262263--0.299--
2015-02-07T18:05:00VictordeHollanderManual testing263264--0.598--
2015-02-07T18:05:00VictordeHollanderManual testing264265--1.138--
2015-06-29T20:47:00ThaManual testing265266--2.275--
2017-04-06T14:00:09Gordon SpenceManual testing266267--4.550--
2018-11-26T14:19:35TJAOIManual testing267268--9.101--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.932 GHz-days
Estimated T-Level:1.350
DigitsB1CurvesCompleteFacMiss
201100027 / 1000.27076.234%
255000027 / 2800.09690.792%

New Calculation Method

Total ECM effort:3.932 GHz-days
Estimated T-Level:1.350
DigitsB1CompleteFacMiss
20110000.87141.855%
25500000.07992.430%
302500000.00599.516%


ECM Summary

B1B2factorcurvesGHz-days
500005000000223.204
50000500000050.728


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-15T00:00:00ANONYMOUSv4_computersE3C577516326D1__0.345


PRP results:
dateuseridcompidcofactorsres64PRP
2021-03-13T18:47:56Luigi Morelli9800
40486443430768175787599
37A0F5AC059CA80Cno


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 = 383400, B2 = 3834000 (P-1 stage 2)
B1 = 383400 (P-1 stage 1)
B1 = 60000, B2 = 1065000 (P-1 stage 2)
B1 = 99084 (P-1 stage 1)
B1 = 79542 (P-1 stage 1)
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: 2022-04-02T19:48:43+00:00