is 2 3360857 - 1
has 1011719 decimal digits
takes 0.353 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LF58D8F3E48911DFAdouble-checked
PRPB1573AF2DD5E63E8verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26817.735067.6471%40000001500000001.82068.8016%19.555670.4946%2.8476%
PrimeNet2600.045763.3333%140002800000.00432.8413%0.050064.3752%1.0418%
GPU722641.059165.6250%180003000000.00511.7564%1.064166.2288%0.6038%
Difference+4+16.6760+2.0221%+3982000+149700000+1.8155+7.0451%+18.4914+4.2658%+4.2658%

Known prime factors (1 factor, 93.5 bits, 0.00278061% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3360857135514176201114632660125472712993.4522016065786213377014555
3 × 5 × 4621 × 7351 × 61057 × 64803071
2020-11-246105764803071932,103,3380.54651.0042

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-06T04:17:00Carsten Kossendeydurandal15000206250---0.004--0.810%
2011-10-13T15:14:00harleeP4_260055000907500---0.015--1.830%
2014-06-09T10:16:00Jocelyn LaroucheManual testing7622076220---0.012--0.738%
2014-09-29T22:05:00Jocelyn LaroucheManual testing9531895318---0.015--0.845%
2015-07-18T18:57:00Squeeky_SquirrelP4_26002300006670000---0.088--3.806%
2020-11-24T17:37:16mikrMSI4000000150000000122993.4521.8210.7063.6418.802%
2022-04-08T06:40:59Jocelyn LaroucheManual testing1000000115661700-
skipped known factor: 13551417620111463266012547271
--1.104--7.507%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-02-24T00:00:00Mats Dahlgrenv4_computers21260--0.046--
2009-03-28T08:08:00S485122USB-Z260261--0.046--
2011-09-08T14:23:00Grant McCrackenthumper261262--0.091--
2012-11-15T00:21:00GrunwalderGIMPManual testing21263--0.475--
2016-02-23T16:29:26Mark RoseManual testing262263--0.292--
2015-02-11T09:07:00VictordeHollanderManual testing263264--0.584--
2015-02-11T09:07:00VictordeHollanderManual testing264265--1.112--
2016-03-04T09:43:18ramgeisManual testing265266--2.223--
2017-03-07T14:12:50Gordon SpenceManual testing266267--4.447--
2018-12-03T19:08:39TJAOIManual testing267268--8.894--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.194 GHz-days
Estimated T-Level:0.750
DigitsB1CurvesCompleteFacMiss
201100015 / 1000.15086.006%
255000015 / 2800.05494.775%

New Calculation Method

Total ECM effort:2.194 GHz-days
Estimated T-Level:0.750
DigitsB1CompleteFacMiss
20110000.48461.639%
25500000.04495.721%
302500000.00399.731%


ECM Summary

B1B2factorcurvesGHz-days
500005000000152.194


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-02-24T00:00:00Mats Dahlgrenv4_computersF58D8F3E48911DFA0.353
1999-09-07T00:00:00ANONYMOUSv4_computersF58D8F3E48911DFA0.353


PRP results:
dateuseridcompidcofactorsres64PRP
2020-11-25T06:53:08mrhx
13551417620111463266012547271
B1573AF2DD5E63E8no


P-1 factor-bounds graph:
B1 = 4000000, B2 = 150000000 (P-1 stage 2)
B1 = 1000000, B2 = 115661700 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 230000, B2 = 6670000 (P-1 stage 2)
B1 = 230000 (P-1 stage 1)
B1 = 55000, B2 = 907500 (P-1 stage 2)
B1 = 95318 (P-1 stage 1)
B1 = 76220 (P-1 stage 1)
B1 = 55000 (P-1 stage 1)
B1 = 15000, B2 = 206250 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
103
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106
107
103
104
105
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109
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
250
260
270
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290
2100
Last modified: 2022-04-08T06:40:59+00:00