is 2 2534267 - 1
has 762891 decimal digits
takes 0.176 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LEB20173E2D0C9B2Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26823.519667.6471%39000003549000002.31569.6518%25.835170.7697%3.1226%
PrimeNet2590.030362.7119%110002000000.00212.6822%0.032463.7120%1.0001%
GPU722630.629865.0794%110001800000.00201.4355%0.631865.5806%0.5013%
Difference+5+22.8898+2.5677%+3889000+354720000+2.3135+8.2163%+25.2033+5.1890%+5.1890%

Known prime factors (1 factor, 80.0 bits, 0.00315550% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
253426711829767208164042593552632579.969233396228735252493
3 × 199 × 63029 × 6202675861
2020-06-2863029620267586178,77233.99463.480

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-23T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.236%
2003-11-08T00:00:00Team Prime Ribv4_computers15000198750---0.003--0.755%
2010-12-19T21:42:00Jocelyn LaroucheManual testing2000020000---0.002--0.264%
2011-01-02T14:09:00Jocelyn LaroucheManual testing3000030000---0.003--0.366%
2011-01-07T22:30:00Jocelyn LaroucheManual testing5000050000---0.005--0.530%
2011-03-28T18:41:00James HeinrichWHS3000008000000---0.072--3.957%
2018-07-29T16:46:53mikrMSI300000013500000012---1.025--8.260%
2018-08-06T19:34:57Jocelyn Larouchelow 4M662000662000012---0.099--4.177%
2021-09-29T22:53:39Dylan Delgadolaptop-i787503900000354900000---2.316--9.652%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-15T00:00:00ANONYMOUSv4_computers21259--0.030--
2016-02-23T16:29:16Mark RoseManual testing259260--0.030--
2009-01-30T23:02:00Sturle Sundepapageno.ifi260261--0.061--
2012-06-14T15:43:00Sebastian HornbostelManual testing261262--0.121--
2013-01-23T08:30:00dbaughManual testing262263--0.387--
2015-02-23T17:24:00VictordeHollanderManual testing263264--0.775--
2015-02-23T17:24:00VictordeHollanderManual testing264265--1.474--
2015-11-08T21:03:11ramgeisManual testing265266--2.949--
2017-08-08T13:42:08Gordon SpenceManual testing266267--5.897--
2019-06-10T09:46:16TJAOIManual testing267268--11.79--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.869 GHz-days
Estimated T-Level:2.100
DigitsB1CurvesCompleteFacMiss
201100042 / 1000.42065.566%
255000042 / 2800.15086.048%

New Calculation Method

Total ECM effort:3.869 GHz-days
Estimated T-Level:2.100
DigitsB1CompleteFacMiss
20110001.35525.799%
25500000.12288.475%
302500000.00899.249%


ECM Summary

B1B2factorcurvesGHz-days
500005000000393.593
50000500000030.276


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15T00:00:00ANONYMOUSv4_computersEB20173E2D0C9B2D0.176
2018-06-08T12:06:05kkmrkkblmbrbkoldEB20173E2D0C9B2D0.176


PRP results:
dateuseridcompidcofactorsres64PRP
2020-06-29T03:31:53CrypticClueManual testing
1182976720816404259355263
E342299E1F92A1A3no
2020-09-25T03:22:10arnaudstm-11-010
1182976720816404259355263
E342299E1F92A1A3no


P-1 factor-bounds graph:
B1 = 3900000, B2 = 354900000 (P-1 stage 2)
B1 = 3000000, B2 = 135000000 (P-1 stage 2)
B1 = 3900000 (P-1 stage 1)
B1 = 3000000 (P-1 stage 1)
B1 = 662000, B2 = 6620000 (P-1 stage 2)
B1 = 300000, B2 = 8000000 (P-1 stage 2)
B1 = 662000 (P-1 stage 1)
B1 = 300000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000, B2 = 198750 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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1010
TF factor-bounds graph:
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Last modified: 2021-09-29T22:53:39+00:00