is 2 2775989 - 1
has 835656 decimal digits
takes 0.214 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L54D077D16088578Cdouble-checked
PRPBC6D133F58AFA9ECverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26821.471667.6471%2700000840000000.79847.6839%22.270070.1330%2.4860%
PrimeNet2590.027762.7119%120002200000.00262.8573%0.030363.7773%1.0654%
GPU722630.574965.0794%150002400000.00311.7470%0.578065.6894%0.6101%
Difference+5+20.8966+2.5677%+2685000+83760000+0.7954+5.9369%+21.6920+4.4436%+4.4436%

Known prime factors (1 factor, 84.4 bits, 0.00304020% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2775989254444032415463139701373912684.3964582943815978073755
5 × 11 × 71 × 1173609171825371
2020-10-207111736091718253711,428,1437,160,95613,374,671

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-16T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.242%
2010-11-10T22:06:00Jocelyn LaroucheManual testing1500015000---0.002--0.210%
2010-11-28T11:07:00markrtiny1100002392500---0.026--2.614%
2016-08-04T04:14:10Jocelyn LaroucheManual testing15200047850006---0.045--3.234%
2016-12-18T19:43:08Jocelyn Larouchelow 4M182400182400---0.020--1.171%
2017-01-10T10:25:01Jocelyn Larouchelow 4M218880218880---0.025--1.286%
2017-01-10T10:25:05Jocelyn Larouchelow 4M262656262656---0.029--1.407%
2017-03-07T20:00:34Jocelyn Larouchelow 4M31518731518706---0.053--3.284%
2017-03-14T06:44:21mikrMSI27000008400000012---0.798--7.684%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:21Mark RoseManual testing21260--0.055--
2009-01-27T23:20:00Sturle Sundegigotte.ifi260261--0.055--
2012-03-25T22:34:00Grant McCrackenthumper261262--0.111--
2013-01-14T12:31:00dbaughManual testing262263--0.354--
2015-04-21T09:20:00VictordeHollanderManual testing263264--0.707--
2015-04-21T09:20:00VictordeHollanderManual testing264265--1.346--
2015-12-10T13:38:50omylistManual testing265266--2.692--
2017-10-12T12:41:23Gordon SpenceManual testing266267--5.384--
2019-02-24T11:40:39chuenkitManual testing267268--10.77--


ECM factoring results:

Old Calculation Method

Total ECM effort:5.514 GHz-days
Estimated T-Level:2.650
DigitsB1CurvesCompleteFacMiss
201100053 / 1000.53058.704%
255000053 / 2800.18982.727%

New Calculation Method

Total ECM effort:5.514 GHz-days
Estimated T-Level:2.650
DigitsB1CompleteFacMiss
20110001.71018.092%
25500000.15585.683%
302500000.01099.053%


ECM Summary

B1B2factorcurvesGHz-days
500005000000474.890
50000500000060.624


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-12T00:00:00ANONYMOUSv4_computers54D077D16088578C0.214
2018-08-24T03:04:11kkmrkkblmbrbkold54D077D16088578C0.214


PRP results:
dateuseridcompidcofactorsres64PRP
2020-10-20T15:07:24mrh.orgp
25444403241546313970137391
BC6D133F58AFA9ECno


P-1 factor-bounds graph:
B1 = 2700000, B2 = 84000000 (P-1 stage 2)
B1 = 2700000 (P-1 stage 1)
B1 = 315187, B2 = 3151870 (P-1 stage 2)
B1 = 152000, B2 = 4785000 (P-1 stage 2)
B1 = 315187 (P-1 stage 1)
B1 = 262656 (P-1 stage 1)
B1 = 110000, B2 = 2392500 (P-1 stage 2)
B1 = 218880 (P-1 stage 1)
B1 = 182400 (P-1 stage 1)
B1 = 152000 (P-1 stage 1)
B1 = 110000 (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: 2020-10-20T15:07:24+00:00