is 2 3278129 - 1
has 986816 decimal digits
takes 0.344 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-
PRPB459DE30B36D27A1verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26818.182667.6471%40000001500000001.82068.7809%20.003170.4879%2.8409%
PrimeNet2600.046963.3333%140002600000.00422.7751%0.051064.3509%1.0175%
GPU722641.085865.6250%170002800000.00481.6871%1.090666.2049%0.5799%
Difference+4+17.0968+2.0221%+3983000+149720000+1.8158+7.0938%+18.9126+4.2830%+4.2830%

Known prime factors (1 factor, 113.5 bits, 0.00346122% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
32781291431833724727267792720381748074679935113.4632183919126927689228703906631
132 × 43 × 53 × 59 × 1321 × 5347 × 2170261 × 6269437
2021-01-27217026162694374.718e+100.36450.6726

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-09T04:55:00Carsten Kossendeydurandal15000191250---0.004--0.786%
2011-09-20T19:17:00harleeP4_2600600001065000---0.017--1.938%
2014-06-26T21:21:00ANONYMOUSManual testing7958079580---0.012--0.754%
2014-10-10T20:28:00Jocelyn LaroucheManual testing9916099160---0.015--0.861%
2016-01-22T12:13:14Jocelyn LaroucheManual testing38340038340006---0.087--3.599%
2021-01-27T12:46:28mikrMSI40000001500000001235113.4631.8210.6893.6418.781%
2022-03-19T20:23:38Jocelyn LaroucheManual testing1000000134316000---1.258--7.650%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-05-27T00:00:00ANONYMOUSv4_computers21260--0.047--
2009-04-02T15:35:00S485122USB-A260261--0.047--
2011-10-10T05:36:00c10ck3raleman261262--0.094--
2013-01-03T08:49:00dbaughManual testing262263--0.299--
2015-02-07T18:05:00VictordeHollanderManual testing263264--0.599--
2015-02-07T18:05:00VictordeHollanderManual testing264265--1.140--
2015-06-28T13:57:00ThaManual testing265266--2.280--
2017-04-05T22:02:29Gordon SpenceManual testing266267--4.559--
2018-12-03T19:08:42TJAOIManual testing267268--9.118--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.203 GHz-days
Estimated T-Level:1.100
DigitsB1CurvesCompleteFacMiss
201100022 / 1000.22080.163%
255000022 / 2800.07992.431%

New Calculation Method

Total ECM effort:3.203 GHz-days
Estimated T-Level:1.100
DigitsB1CompleteFacMiss
20110000.71049.180%
25500000.06493.787%
302500000.00499.606%


ECM Summary

B1B2factorcurvesGHz-days
500005000000223.203


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-09-14T00:00:00ANONYMOUSv4_computersC0D7DB45D96418__0.344


PRP results:
dateuseridcompidcofactorsres64PRP
2021-01-27T15:32:38mrhlanai
14318337247272677927203817480746799
B459DE30B36D27A1no


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 = 99160 (P-1 stage 1)
B1 = 79580 (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
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106
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103
104
105
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109
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
2110
2120
Last modified: 2022-03-19T20:23:38+00:00