is 2 2924777 - 1
has 880446 decimal digits
takes 0.226 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L26A33538A10C110Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26820.379367.6471%1000000200000000.22795.5383%20.607269.4389%1.7918%
PrimeNet2590.026362.7119%130002600000.00303.0689%0.029263.8562%1.1444%
GPU722630.545765.0794%170003000000.00361.9445%0.549365.7584%0.6790%
Difference+5+19.8336+2.5677%+983000+19700000+0.2243+3.5938%+20.0579+3.6805%+3.6805%

Known prime factors (1 factor, 69.4 bits, 0.00237240% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
29247777720775201781647386072169.387131989126039039
251 × 1747 × 301003487
2021-03-05174730100348750.0131.83683.4303

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-12-13T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.246%
2003-12-23T00:00:00Team Prime Ribv4_computers1000010000---0.001--0.145%
2010-11-13T06:39:00markrtiny1050002283750---0.025--2.583%
2015-04-27T09:55:00VictordeHollanderManual testing100000020000000---0.228--5.538%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:24Mark RoseManual testing21260--0.053--
2009-02-13T23:35:00Sturle Sundehaydn.ifi260261--0.053--
2012-01-09T19:04:00Grant McCrackenthumper261262--0.105--
2013-01-07T13:49:00dbaughManual testing262263--0.336--
2015-04-25T17:16:00VictordeHollanderManual testing263264--0.671--
2015-04-25T17:16:00VictordeHollanderManual testing264265--1.277--
2016-02-23T09:49:03ramgeisManual testing265266--2.555--
2017-11-22T00:30:13Gordon SpenceManual testing266267--5.110--
2018-12-20T02:16:12chuenkitManual testing267268--10.22--


ECM factoring results:

Old Calculation Method

Total ECM effort:7.975 GHz-days
Estimated T-Level:3.800
DigitsB1CurvesCompleteFacMiss
201100076 / 1000.76046.588%
255000076 / 2800.27176.192%

New Calculation Method

Total ECM effort:7.975 GHz-days
Estimated T-Level:3.800
DigitsB1CompleteFacMiss
20110002.4528.615%
25500000.22280.126%
302500000.01498.645%


ECM Summary

B1B2factorcurvesGHz-days
500005000000606.296
500005000000161.679


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-30T00:00:00ANONYMOUSv4_computers26A33538A10C110F0.226
2018-10-05T23:42:47kkmrkkblmbrbkold26A33538A10C110F0.226


PRP results:
dateuseridcompidcofactorsres64PRP
2021-03-08T15:48:49Klaus Nordmannno1
772077520178164738607
2119FF3541BBF3__no
2021-03-15T12:46:38Anton RepkoDeskMini
772077520178164738607
2119FF3541BBF353no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 20000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 105000, B2 = 2283750 (P-1 stage 2)
B1 = 105000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
109
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2021-03-15T12:46:38+00:00