is 2 2647321 - 1
has 796924 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-LF37AC8B54738F409double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26822.515267.6471%2000000500000000.51696.8572%23.032069.8656%2.2185%
PrimeNet2590.029062.7119%110002000000.00242.7038%0.031463.7201%1.0082%
GPU722630.602965.0794%130002000000.00261.5744%0.605565.6292%0.5498%
Difference+5+21.9123+2.5677%+1987000+49800000+0.5143+5.2828%+22.4266+4.2364%+4.2364%

Known prime factors (1 factor, 71.3 bits, 0.00269337% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
264732129111398348693058568712271.302549827511448235
5 × 263 × 418119780569
2020-07-14263418119780569226.542,551.24,765.0

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-31T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.239%
2009-06-22T11:40:00harleeP4_260030000420000---0.006--1.207%
2011-01-20T12:24:00James Heinrichi7-9201800004275000---0.045--3.228%
2016-12-28T03:20:12Jocelyn Larouchelow 4M171988171988---0.019--1.126%
2016-12-29T21:56:29Jocelyn Larouchelow 4M206385206385---0.023--1.238%
2017-05-08T05:55:49Jocelyn Larouchelow 4M36000036000006---0.060--3.422%
2019-11-28T16:16:15masserManual testing20000005000000012---0.517--6.857%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-26T00:00:00foxkidv4_computers21259--0.029--
2016-02-23T16:29:18Mark RoseManual testing259260--0.029--
2009-01-30T15:09:00Sturle Sundegolan.ifi260261--0.058--
2012-06-11T04:53:00markroldgamer261262--0.116--
2013-01-14T11:57:00dbaughManual testing262263--0.371--
2015-02-23T17:25:00VictordeHollanderManual testing263264--0.742--
2015-02-23T17:25:00VictordeHollanderManual testing264265--1.411--
2016-01-21T23:03:50ramgeisManual testing265266--2.823--
2017-09-08T08:21:16Gordon SpenceManual testing266267--5.646--
2019-02-18T10:31:25TJAOIManual testing267268--11.29--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.614 GHz-days
Estimated T-Level:1.750
DigitsB1CurvesCompleteFacMiss
201100035 / 1000.35070.345%
255000035 / 2800.12588.230%

New Calculation Method

Total ECM effort:3.614 GHz-days
Estimated T-Level:1.750
DigitsB1CompleteFacMiss
20110001.12932.335%
25500000.10290.299%
302500000.00699.374%


ECM Summary

B1B2factorcurvesGHz-days
500005000000333.408
50000500000020.207


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-02T00:00:00foxkidv4_computersF37AC8B54738F4090.204
2018-07-16T14:16:49kkmrkkblmbrbkoldF37AC8B54738F4090.204


PRP results:
dateuseridcompidcofactorsres64PRP
2020-07-16T23:37:03Klaus Nordmannno1
2911139834869305856871
813A227C610BE3AFno
2020-07-17T01:03:07oodairacom2
2911139834869305856871
813A227C610BE3AFno


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 = 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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TF factor-bounds graph:
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265
264
263
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2100
Last modified: 2020-07-17T01:03:07+00:00