is 2 3272837 - 1
has 985223 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-L7ACF882DD9686ED1double-checked
PRP14642C87F1A865AFverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26818.212067.6471%40000001500000001.82068.7796%20.032570.4875%2.8404%
PrimeNet2600.046963.3333%140002600000.00422.7743%0.051164.3506%1.0173%
GPU722641.087565.6250%170002800000.00481.6866%1.092366.2048%0.5798%
Difference+4+17.1245+2.0221%+3983000+149720000+1.8158+7.0930%+18.9402+4.2827%+4.2827%

Known prime factors (1 factor, 89.0 bits, 0.00271879% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
32728376111497911582210428532564972788.98293366976595262923704
23 × 172 × 3539 × 332309 × 34338617
2020-12-193323093433861722,652,3930.33280.5321

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-08T12:41:00Carsten Kossendeydurandal15000191250---0.004--0.786%
2011-09-19T05:16:00harleeP4_2600600001065000---0.017--1.938%
2014-06-26T21:21:00ANONYMOUSManual testing7961179611---0.012--0.754%
2014-10-10T20:28:00Jocelyn LaroucheManual testing9922299222---0.015--0.861%
2016-01-16T00:42:32Jocelyn LaroucheManual testing38340038340006---0.087--3.598%
2020-12-19T18:02:18mikrMSI4000000150000000122788.9821.8210.6873.6418.780%
2021-01-18T13:43:03Jocelyn LaroucheManual testing40340032728376---0.085--3.484%
2022-01-06T11:34:58Jocelyn LaroucheManual testing1240923116447100-
skipped known factor: 611149791158221042853256497
--1.145--7.665%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-08-24T00:00:00ANONYMOUSv4_computers21260--0.047--
2009-04-03T10:35:00S485122USB-A260261--0.047--
2011-10-01T12:59:00Grant McCrackenthumper261262--0.094--
2012-12-30T00:06:00dbaughManual testing262263--0.300--
2015-02-07T18:05:00VictordeHollanderManual testing263264--0.600--
2015-02-07T18:05:00VictordeHollanderManual testing264265--1.142--
2015-06-28T13:57:00ThaManual testing265266--2.283--
2021-02-21T11:36:43Jocelyn LaroucheManual testing265266--2.283--
2021-02-22T09:03:46Jocelyn LaroucheManual testing266267--4.567--
2017-04-04T13:00:38Gordon SpenceManual testing266267--4.567--
2018-12-10T15:07:55TJAOIManual testing267268--9.133--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.183 GHz-days
Estimated T-Level:0.750
DigitsB1CurvesCompleteFacMiss
201100015 / 1000.15086.006%
255000015 / 2800.05494.775%

New Calculation Method

Total ECM effort:2.183 GHz-days
Estimated T-Level:0.750
DigitsB1CompleteFacMiss
20110000.48461.639%
25500000.04495.721%
302500000.00399.731%


ECM Summary

B1B2factorcurvesGHz-days
500005000000152.183


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-05-01T00:00:00ANONYMOUSv4_computers7ACF882DD9686ED10.344
1999-08-31T00:00:00ANONYMOUSv4_computers7ACF882DD9686ED10.344


PRP results:
dateuseridcompidcofactorsres64PRP
2020-12-20T10:49:53Maciej KmieciakAsrock
611149791158221042853256497
14642C87F1A865AFno


P-1 factor-bounds graph:
B1 = 4000000, B2 = 150000000 (P-1 stage 2)
B1 = 1240923, B2 = 116447100 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 1240923 (P-1 stage 1)
B1 = 383400, B2 = 3834000 (P-1 stage 2)
B1 = 403400, B2 = 3272837 (P-1 stage 2)
B1 = 403400 (P-1 stage 1)
B1 = 383400 (P-1 stage 1)
B1 = 60000, B2 = 1065000 (P-1 stage 2)
B1 = 99222 (P-1 stage 1)
B1 = 79611 (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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109
TF factor-bounds graph:
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266
265
264
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Last modified: 2022-01-06T11:34:58+00:00