is 2 2347727 - 1
has 706737 decimal digits
takes 0.159 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LCD3FCB35DBBCA2CEdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26825.388367.6471%60000001800000001.51648.9754%26.904770.5509%2.9038%
PrimeNet2580.016462.0690%110002000000.00213.0481%0.018463.2252%1.1562%
GPU722620.261764.5161%130002200000.00241.8352%0.264165.1673%0.6512%
Difference+6+25.1267+3.1309%+5987000+179780000+1.5140+7.1402%+26.6406+5.3835%+5.3835%

Known prime factors (1 factor, 81.9 bits, 0.00348827% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
234772744965881574037083536097932581.895957647153481582048
25 × 3 × 9975491182099813
2020-06-22329975491182099813227,02153,238,08899,433,923

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-09-21T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.231%
2010-03-05T07:43:00Budannan50000010000000---0.100--4.381%
2018-01-30T13:30:15Sid & AndyHand_In_The_Box600000018000000012---1.516--8.975%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:12Mark RoseManual testing21260--0.065--
2009-01-16T00:14:00Sturle Sundecelair.ifi260261--0.065--
2012-05-29T11:43:00Sebastian HornbostelManual testing261262--0.131--
2013-12-04T21:14:00Jerry HallettManual testing262263--0.418--
2015-03-06T11:15:00VictordeHollanderManual testing263264--0.836--
2015-03-06T11:15:00VictordeHollanderManual testing264265--1.591--
2015-10-27T09:37:24ramgeisManual testing265266--3.183--
2017-06-11T03:38:01Gordon SpenceManual testing266267--6.366--
2019-03-04T13:44:33TJAOIManual testing267268--12.73--


ECM factoring results:

Old Calculation Method

Total ECM effort:5.413 GHz-days
Estimated T-Level:3.050
DigitsB1CurvesCompleteFacMiss
201100061 / 1000.61054.169%
255000061 / 2800.21880.393%

New Calculation Method

Total ECM effort:5.413 GHz-days
Estimated T-Level:3.050
DigitsB1CompleteFacMiss
20110001.96813.977%
25500000.17883.707%
302500000.01198.911%


ECM Summary

B1B2factorcurvesGHz-days
500005000000605.324
50000500000010.089


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-01T00:00:00ANONYMOUSv4_computersCD3FCB35DBBCA2CE0.159


PRP results:
dateuseridcompidcofactorsres64PRP
2020-06-22T16:05:27Christoph ZengerManual testing
4496588157403708353609793
5F836B21335ABE03no
2020-06-22T21:04:49CrypticClueManual testing
4496588157403708353609793
5F836B21335ABE03no


P-1 factor-bounds graph:
B1 = 6000000, B2 = 180000000 (P-1 stage 2)
B1 = 6000000 (P-1 stage 1)
B1 = 500000, B2 = 10000000 (P-1 stage 2)
B1 = 500000 (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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Last modified: 2020-06-22T21:04:49+00:00