is 2 2635189 - 1
has 793271 decimal digits
takes 0.204 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LFCC8B84772BCDA70double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26822.618867.6471%2640000264000000.44066.2297%23.059569.6626%2.0155%
PrimeNet2590.029162.7119%110002000000.00242.7016%0.031563.7192%1.0074%
GPU722630.605765.0794%130002000000.00261.5730%0.608365.6287%0.5493%
Difference+5+22.0132+2.5677%+2627000+26200000+0.4380+4.6567%+22.4512+4.0339%+4.0339%

Known prime factors (1 factor, 69.9 bits, 0.00265268% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
263518911040221506385538071692269.903209476844097056
25 × 14563 × 449505691
2021-01-271456344950569150.5692.74435.1227

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-31T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.239%
2009-06-21T03:19:00harleeP4_260030000420000---0.006--1.206%
2011-01-19T03:00:00James Heinrichi7-9201800004275000---0.045--3.226%
2016-12-24T22:38:24Jocelyn Larouchelow 4M171988171988---0.019--1.125%
2016-12-26T22:14:23Jocelyn Larouchelow 4M206385206385---0.023--1.237%
2017-04-27T04:20:47Jocelyn Larouchelow 4M36000036000006---0.060--3.420%
2019-10-30T03:32:07masserManual testing26400002640000012---0.441--6.230%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-26T00:00:00foxkidv4_computers21259--0.029--
2016-02-23T16:29:18Mark RoseManual testing259260--0.029--
2009-01-28T19:42:00Sturle Sundeeberlin.ifi260261--0.058--
2012-06-08T23:36:00Grant McCrackenthumper261262--0.117--
2013-01-14T11:57:00dbaughManual testing262263--0.373--
2015-02-23T17:25:00VictordeHollanderManual testing263264--0.745--
2015-02-23T17:25:00VictordeHollanderManual testing264265--1.418--
2016-01-19T09:40:25ramgeisManual testing265266--2.836--
2017-09-01T23:24:08Gordon SpenceManual testing266267--5.672--
2019-03-18T11:45:37TJAOIManual testing267268--11.34--


ECM factoring results:

Old Calculation Method

Total ECM effort:9.081 GHz-days
Estimated T-Level:4.400
DigitsB1CurvesCompleteFacMiss
201100088 / 1000.88041.295%
255000088 / 2800.31472.990%

New Calculation Method

Total ECM effort:9.081 GHz-days
Estimated T-Level:4.400
DigitsB1CompleteFacMiss
20110002.8395.850%
25500000.25777.371%
302500000.01698.433%


ECM Summary

B1B2factorcurvesGHz-days
500005000000838.565
50000500000050.516


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-13T00:00:00foxkidv4_computersFCC8B84772BCDA700.204
2018-07-11T07:51:40kkmrkkblmbrbkoldFCC8B84772BCDA700.204


PRP results:
dateuseridcompidcofactorsres64PRP
2021-01-29T20:38:34Klaus Nordmannno1
1104022150638553807169
17CDC906D7C8F4__no
2021-03-15T11:23:05Anton RepkoDeskMini
1104022150638553807169
17CDC906D7C8F435no


P-1 factor-bounds graph:
B1 = 2640000, B2 = 26400000 (P-1 stage 2)
B1 = 2640000 (P-1 stage 1)
B1 = 360000, B2 = 3600000 (P-1 stage 2)
B1 = 180000, B2 = 4275000 (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)
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109
TF factor-bounds graph:
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266
265
264
263
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2100
Last modified: 2021-03-15T11:23:05+00:00