is 2 2757829 - 1
has 830190 decimal digits
takes 0.213 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L605CFB547FBDA272double-checked
PRP90623DCD31986FEBverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26821.613067.6471%2700000840000000.79847.6788%22.411470.1314%2.4843%
PrimeNet2590.027862.7119%120002200000.00262.8539%0.030563.7760%1.0642%
GPU722630.578765.0794%150002400000.00311.7448%0.581865.6887%0.6093%
Difference+5+21.0342+2.5677%+2685000+83760000+0.7954+5.9341%+21.8296+4.4427%+4.4427%

Known prime factors (1 factor, 73.0 bits, 0.00264607% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
275782992769120432829537981992272.9741681922998721631
3 × 139 × 4033388486143
2020-08-301394033388486143656.8924,61045,965

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-16T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.242%
2003-11-28T00:00:00Team Prime Ribv4_computers15000225000---0.003--0.799%
2010-12-21T11:04:00Jocelyn LaroucheManual testing2000020000---0.002--0.270%
2011-01-02T14:09:00Jocelyn LaroucheManual testing3000030000---0.003--0.373%
2011-01-23T12:18:00Jocelyn LaroucheManual testing5000050000---0.006--0.539%
2011-05-08T10:58:00James HeinrichWHS1900004655000---0.049--3.336%
2016-12-31T18:47:50mikrMSI27000008400000012---0.798--7.679%
2017-01-10T10:25:14Jocelyn Larouchelow 4M228000228000---0.026--1.311%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:20Mark RoseManual testing21260--0.056--
2009-02-12T01:50:00Sturle Sundegofy.ifi260261--0.056--
2012-03-26T02:16:00markroldgamer261262--0.111--
2013-01-14T12:31:00dbaughManual testing262263--0.356--
2015-04-21T09:20:00VictordeHollanderManual testing263264--0.712--
2015-04-21T09:20:00VictordeHollanderManual testing264265--1.355--
2016-02-05T15:45:59ramgeisManual testing265266--2.710--
2017-10-09T09:26:13Gordon SpenceManual testing266267--5.419--
2019-02-20T01:17:43chuenkitManual testing267268--10.84--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.365 GHz-days
Estimated T-Level:2.100
DigitsB1CurvesCompleteFacMiss
201100042 / 1000.42065.566%
255000042 / 2800.15086.048%

New Calculation Method

Total ECM effort:4.365 GHz-days
Estimated T-Level:2.100
DigitsB1CompleteFacMiss
20110001.61519.881%
25500000.14986.117%
302500000.00999.062%


ECM Summary

B1B2factorcurvesGHz-days
500005000000363.741
50000500000060.624


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-03-15T00:00:00ANONYMOUSv4_computers605CFB547FBDA2720.213
2018-08-16T03:43:53kkmrkkblmbrbkold605CFB547FBDA2720.213


PRP results:
dateuseridcompidcofactorsres64PRP
2020-08-30T14:33:17CrypticCluecruncher
9276912043282953798199
90623DCD31986FEBno


P-1 factor-bounds graph:
B1 = 2700000, B2 = 84000000 (P-1 stage 2)
B1 = 2700000 (P-1 stage 1)
B1 = 190000, B2 = 4655000 (P-1 stage 2)
B1 = 228000 (P-1 stage 1)
B1 = 190000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000, B2 = 225000 (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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TF factor-bounds graph:
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Last modified: 2020-08-30T14:33:17+00:00