is 2 2654543 - 1
has 799098 decimal digits
takes 0.205 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LF0BB0A5BEA3D761Edouble-checked
PRP4A0FDE627F084417verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26822.453967.6471%2000000500000000.51696.8592%22.970869.8662%2.2191%
PrimeNet2590.028962.7119%110002000000.00242.7052%0.031363.7206%1.0087%
GPU722630.601265.0794%130002000000.00261.5753%0.603865.6295%0.5501%
Difference+5+21.8527+2.5677%+1987000+49800000+0.5143+5.2839%+22.3669+4.2367%+4.2367%

Known prime factors (1 factor, 86.0 bits, 0.00324068% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2654543787397359495519734513030472686.02514831128361746630861
269 × 12500419 × 4410596651
2021-03-101250041944105966517,975,02828.23650.264

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-31T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.239%
2009-06-23T11:31:00harleeP4_260030000420000---0.006--1.207%
2011-01-20T21:37:00James Heinrichi7-9201800004320000---0.045--3.237%
2016-12-29T21:56:31Jocelyn Larouchelow 4M171988171988---0.019--1.126%
2017-01-10T10:24:57Jocelyn Larouchelow 4M206385206385---0.023--1.238%
2017-05-13T16:00:10Jocelyn Larouchelow 4M36000036000006---0.060--3.424%
2019-11-26T14:22:16masserManual testing20000005000000012---0.517--6.859%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1997-12-30T00:00:00ANONYMOUSv4_computers21258--0.014--
1999-04-02T00:00:00ANONYMOUSv4_computers21259--0.029--
2016-02-23T16:29:18Mark RoseManual testing259260--0.029--
2009-01-26T23:40:00Sturle Sundegollumilla.ifi260261--0.058--
2012-06-02T20:46:00Grant McCrackenthumper261262--0.116--
2013-01-14T11:57:00dbaughManual testing262263--0.370--
2015-02-23T17:25:00VictordeHollanderManual testing263264--0.740--
2015-02-23T17:25:00VictordeHollanderManual testing264265--1.408--
2016-01-21T23:03:52ramgeisManual testing265266--2.815--
2017-09-08T08:21:17Gordon SpenceManual testing266267--5.630--
2019-05-13T13:38:10TJAOIManual testing267268--11.26--


ECM factoring results:

Old Calculation Method

Total ECM effort:9.504 GHz-days
Estimated T-Level:4.600
DigitsB1CurvesCompleteFacMiss
201100092 / 1000.92039.668%
255000092 / 2800.32971.953%

New Calculation Method

Total ECM effort:9.504 GHz-days
Estimated T-Level:4.600
DigitsB1CompleteFacMiss
20110002.9685.142%
25500000.26876.474%
302500000.01798.362%


ECM Summary

B1B2factorcurvesGHz-days
500005000000909.297
50000500000020.207


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-12-30T00:00:00ANONYMOUSv4_computersF0BB0A5BEA3D761E0.205
1999-05-02T00:00:00ANONYMOUSv4_computersF0BB0A5BEA3D761E0.205
2018-07-20T05:21:08kkmrkkblmbrbkoldF0BB0A5BEA3D761E0.205


PRP results:
dateuseridcompidcofactorsres64PRP
2021-03-11T15:18:59mrhlanai
78739735949551973451303047
4A0FDE627F084417no


P-1 factor-bounds graph:
B1 = 2000000, B2 = 50000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 360000, B2 = 3600000 (P-1 stage 2)
B1 = 180000, B2 = 4320000 (P-1 stage 2)
B1 = 360000 (P-1 stage 1)
B1 = 206385 (P-1 stage 1)
B1 = 180000 (P-1 stage 1)
B1 = 171988 (P-1 stage 1)
B1 = 30000, B2 = 420000 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
108
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
259
258
250
260
270
280
290
2100
Last modified: 2021-03-11T15:18:59+00:00