is 2 3282709 - 1
has 988194 decimal digits
takes 0.345 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
1 primality tests remaining
ResidueStatus
L-LAF4D96AFD806D968double-checked
PRPD7F2C1F7FBEFDD__
unverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26818.157267.6471%40000001500000001.82068.7821%19.977870.4883%2.8413%
PrimeNet2600.046863.3333%140002600000.00422.7758%0.051064.3511%1.0178%
GPU722641.084365.6250%170002800000.00481.6875%1.089066.2051%0.5801%
Difference+4+17.0730+2.0221%+3983000+149720000+1.8158+7.0945%+18.8887+4.2832%+4.2832%

Known prime factors (1 factor, 91.1 bits, 0.00277662% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
328270927437875664320970766547237692891.148417915137533070564076
22 × 3 × 587 × 10463 × 93563 × 60604991
2021-02-289356360604991221,411,8340.51630.9392

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-09T04:57:00Carsten Kossendeydurandal15000191250---0.004--0.787%
2011-09-22T02:25:00harleeP4_2600600001065000---0.017--1.939%
2014-06-26T21:22:00ANONYMOUSManual testing7955279552---0.012--0.754%
2014-10-10T20:28:00Jocelyn LaroucheManual testing9910499104---0.015--0.861%
2016-01-25T11:49:45Jocelyn LaroucheManual testing38340038340006---0.087--3.599%
2021-02-28T20:25:53mikrMSI4000000150000000122891.1481.8210.6903.6418.782%
2022-03-24T08:46:58Jocelyn LaroucheManual testing1000000134316000-
skipped known factor: 2743787566432097076654723769
--1.258--7.651%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-08-24T00:00:00ANONYMOUSv4_computers21260--0.047--
2009-04-02T15:50:00S485122USB-A260261--0.047--
2011-10-01T03:54:00Grant McCrackenhome261262--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--2.276--
2017-04-05T22:02:30Gordon SpenceManual testing266267--4.553--
2018-11-26T14:19:36TJAOIManual testing267268--9.106--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.223 GHz-days
Estimated T-Level:1.450
DigitsB1CurvesCompleteFacMiss
201100029 / 1000.29074.717%
255000029 / 2800.10490.144%

New Calculation Method

Total ECM effort:4.223 GHz-days
Estimated T-Level:1.450
DigitsB1CompleteFacMiss
20110000.93539.240%
25500000.08591.893%
302500000.00599.481%


ECM Summary

B1B2factorcurvesGHz-days
500005000000294.223


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-02-08T00:00:00ANONYMOUSv4_computersAF4D96AFD806D9680.345
1999-04-13T00:00:00ANONYMOUSv4_computersAF4D96AFD806D9680.345
1999-10-07T00:00:00ANONYMOUSv4_computersAF4D96AFD806D9680.345


PRP results:
dateuseridcompidcofactorsres64PRP
2021-03-01T19:52:22Yuji HASEGAWAvj20a
2743787566432097076654723769
D7F2C1F7FBEFDD__no
2021-03-02T12:45:55Oliver KruseIOS-5
2743787566432097076654723769
D7F2C1F7FBEFDD70no


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 = 99104 (P-1 stage 1)
B1 = 79552 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 15000, B2 = 191250 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
103
104
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106
107
103
104
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107
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109
TF factor-bounds graph:
268
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266
265
264
263
262
261
260
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290
2100
Last modified: 2022-03-24T08:46:58+00:00