is 2 6994577 - 1
has 2105578 decimal digits
takes 1.525 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L55400D457E6FB8ECdouble-checked
PRP5C0ACA4D9589E9BEPRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272136.725068.0556%445000136837500.36883.5346%137.093869.1847%
Target2674.248165.6716%450009000000.02902.2403%4.277166.4407%
Difference+5+132.4769+2.3839%+400000+12783750+0.3398+1.2944%+132.8167+2.7440%

Known prime factors (1 factor, 85.0 bits, 0.00121556% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
6994577393199458159766964077321192685.0232810745082653082267
7 × 11 × 31 × 1579 × 783151 × 952229		2021-11-057831519522291,325,6390.25050.5039

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-09-22ANONYMOUSv4_computers3000030000---0.009--0.235%
2011-09-08Carsten Kossendeymother44500013683750---0.369--3.535%
2021-11-05Seth_TrManual testing200000020000002685.0230.6323.0501.2652.398%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-07-11ANONYMOUSv4_computers21262--0.088--
1999-11-17ANONYMOUSv4_computers21263--0.228--
2001-09-22ANONYMOUSv4_computers21263--0.228--
2014-02-09NesowaManual testing263264--0.281--
2014-02-14lycornManual testing264265--0.534--
2015-07-03VictordeHollanderManual testing265266--1.068--
2016-04-28Gordon SpenceManual testing266267--2.137--
2018-02-25-Anonymous-Manual testing267268--4.273--
2020-04-03TJAOIManual testing268269--8.547--
2020-07-26takahashiManual testing269270--17.09--
2020-09-20takahashiManual testing270271--34.19--
2021-10-13SRBaseManual testing271272--68.38--


ECM factoring results:
Total ECM effort:1.989 GHz-days
Estimated T-Level:1.154
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
50000500000061.989


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-01-19ANONYMOUSv4_computers55400D457E6FB8EC1.525
2002-01-08ANONYMOUSv4_computersF4094CA863830A921.525
2002-09-22shaneamyv4_computers55400D457E6FB8EC1.525
2002-11-02ANONYMOUSv4_computers55400D457E6FB8EC1.525
2003-05-04shaneamyv4_computers55400D457E6FB8EC1.525


PRP results:
dateuseridcompidcofactorsres64PRP
2021-11-11Luminescence5950X2
39319945815976696407732119
5C0ACA4D9589E9BEno


P-1 factor-bounds graph:
B1 = 2000000 (P-1 stage 1)
B1 = 445000, B2 = 13683750 (P-1 stage 2)
B1 = 445000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
TF factor-bounds graph:
272
271
270
269
268
267
266
265
264
263
262
this exponent TF target: 67
TF double-checked to: 67.7
ECM T-Level=1.15 ~= -13-bit
250
260
270
280
290
Last modified: 2023-03-23T17:39:31+00:00