is 2 3255559 - 1
has 980021 decimal digits
takes 0.342 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LF7D3E61ABA481BCFdouble-checked
PRP5CF2648B04E08EFFverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26818.308667.6471%40000001500000001.82068.7752%20.129270.4861%2.8390%
PrimeNet2600.047263.3333%140002600000.00422.7717%0.051464.3496%1.0163%
GPU722641.093365.6250%160002800000.00461.6554%1.097966.1940%0.5690%
Difference+4+17.2153+2.0221%+3984000+149720000+1.8159+7.1198%+19.0313+4.2921%+4.2921%

Known prime factors (1 factor, 71.4 bits, 0.00219408% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
325555931798972629062445972472271.429488379608986697
488379608986697
2021-03-261488379608986697153.114,052,1817,568,345

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-05T05:40:00Carsten Kossendeydurandal15000191250---0.004--0.785%
2011-09-13T01:25:00harleeP4_2600600001050000---0.017--1.929%
2014-06-11T02:10:00Jocelyn LaroucheManual testing7971579715---0.012--0.754%
2014-10-07T22:12:00Jocelyn LaroucheManual testing9943099430---0.015--0.861%
2016-01-17T13:12:29Jocelyn LaroucheManual testing41580041580006---0.094--3.697%
2020-08-13T13:50:47mikrMSI400000015000000012---1.821--8.775%
2022-04-02T19:48:46Jocelyn LaroucheManual testing1000000134316000---1.258--7.644%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-08-24T00:00:00ANONYMOUSv4_computers21260--0.047--
2009-04-03T10:35:00S485122USB-A260261--0.047--
2011-09-18T20:19:00markrManual testing21262--0.189--
2013-01-03T08:49:00dbaughManual testing262263--0.302--
2015-02-18T11:41:00VictordeHollanderManual testing263264--0.603--
2015-02-18T11:41:00VictordeHollanderManual testing264265--1.148--
2015-06-28T13:57:00ThaManual testing265266--2.295--
2017-03-30T02:15:54Gordon SpenceManual testing266267--4.591--
2019-01-07T14:44:15TJAOIManual testing267268--9.182--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.777 GHz-days
Estimated T-Level:1.400
DigitsB1CurvesCompleteFacMiss
201100028 / 1000.28075.472%
255000028 / 2800.10090.468%

New Calculation Method

Total ECM effort:4.777 GHz-days
Estimated T-Level:1.400
DigitsB1CompleteFacMiss
20110000.98737.280%
25500000.09291.182%
302500000.00699.403%


ECM Summary

B1B2factorcurvesGHz-days
500005000000152.181
50000500000050.727
50000645000030.493
800001128000051.376


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-02-01T00:00:00ANONYMOUSv4_computersF7D3E61ABA481BCF0.342
1998-02-08T00:00:00ANONYMOUSv4_computersF7D3E61ABA481BCF0.342
1999-11-04T00:00:00delta_tv4_computersF7D3E61ABA481BCF0.342


PRP results:
dateuseridcompidcofactorsres64PRP
2021-03-28T10:19:37daveward2005Davy
3179897262906244597247
5CF2648B04E08EFFno


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 = 415800, B2 = 4158000 (P-1 stage 2)
B1 = 415800 (P-1 stage 1)
B1 = 60000, B2 = 1050000 (P-1 stage 2)
B1 = 99430 (P-1 stage 1)
B1 = 79715 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 15000, B2 = 191250 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2022-04-02T19:48:46+00:00