is 2 2741303 - 1
has 825215 decimal digits
takes 0.212 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L29B586CE214AF8A5double-checked
PRPADB8530F652C89E6verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26821.743367.6471%2700000840000000.79847.6742%22.541770.1299%2.4828%
PrimeNet2590.028062.7119%120002200000.00262.8508%0.030663.7749%1.0630%
GPU722630.582265.0794%140002400000.00291.7080%0.585265.6758%0.5964%
Difference+5+21.1611+2.5677%+2686000+83760000+0.7955+5.9662%+21.9566+4.4541%+4.4541%

Known prime factors (1 factor, 88.6 bits, 0.00323326% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
27413034800858995052034232090701032788.63387565274525509114317
3 × 279553 × 104411059233263
2021-03-1627955310441105923326331,167,677637,0801,189,888

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-16T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.241%
2003-11-28T00:00:00Team Prime Ribv4_computers15000225000---0.003--0.798%
2010-12-19T21:44:00Jocelyn LaroucheManual testing2000020000---0.002--0.269%
2010-12-29T20:12:00Jocelyn LaroucheManual testing3000030000---0.003--0.373%
2011-01-20T22:46:00Jocelyn LaroucheManual testing5000050000---0.006--0.539%
2011-04-29T10:25:00James HeinrichWHS1850004625000---0.048--3.314%
2016-11-04T21:52:12mikrMSI27000008400000012---0.798--7.674%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-04-13T00:00:00ANONYMOUSv4_computers21259--0.028--
2016-02-23T16:29:20Mark RoseManual testing259260--0.028--
2009-01-31T02:41:00Sturle Sundezumthor.ifi260261--0.056--
2012-04-07T15:17:00markroldgamer261262--0.112--
2013-01-14T12:27:00dbaughManual testing262263--0.358--
2015-04-13T20:09:00VictordeHollanderManual testing263264--0.716--
2015-04-13T20:09:00VictordeHollanderManual testing264265--1.363--
2016-02-03T11:43:36ramgeisManual testing265266--2.726--
2017-10-05T11:09:30Gordon SpenceManual testing266267--5.452--
2019-02-15T01:31:29chuenkitManual testing267268--10.90--


ECM factoring results:

Old Calculation Method

Total ECM effort:8.929 GHz-days
Estimated T-Level:4.300
DigitsB1CurvesCompleteFacMiss
201100086 / 1000.86042.133%
255000086 / 2800.30773.514%

New Calculation Method

Total ECM effort:8.929 GHz-days
Estimated T-Level:4.300
DigitsB1CompleteFacMiss
20110002.7746.240%
25500000.25177.823%
302500000.01598.468%


ECM Summary

B1B2factorcurvesGHz-days
500005000000818.410
50000500000050.519


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-09T00:00:00ANONYMOUSv4_computers29B586CE214AF8A50.212
2018-08-11T18:24:49kkmrkkblmbrbkold29B586CE214AF8A50.212


PRP results:
dateuseridcompidcofactorsres64PRP
2021-03-17T04:35:06mrhw
480085899505203423209070103
ADB8530F652C89E6no


P-1 factor-bounds graph:
B1 = 2700000, B2 = 84000000 (P-1 stage 2)
B1 = 2700000 (P-1 stage 1)
B1 = 185000, B2 = 4625000 (P-1 stage 2)
B1 = 185000 (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: 2021-03-17T04:35:06+00:00