is 2 2771491 - 1
has 834302 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-L91F9E4851A9AD55Cdouble-checked
PRP340B7C3E881B5F82verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26821.506467.6471%2700000840000000.79847.6827%22.304970.1326%2.4856%
PrimeNet2590.027762.7119%120002200000.00262.8565%0.030363.7770%1.0651%
GPU722630.575965.0794%150002400000.00311.7464%0.578965.6892%0.6099%
Difference+5+20.9306+2.5677%+2685000+83760000+0.7954+5.9362%+21.7260+4.4434%+4.4434%

Known prime factors (1 factor, 81.0 bits, 0.00292127% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
277149123561821028991300952614472580.963425074824868478753
425074824868478753
2020-10-13142507482486847875395,1032.594e+94.844e+9

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-16T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.242%
2010-11-10T11:27:00Jocelyn LaroucheManual testing1500015000---0.002--0.210%
2010-11-30T00:12:00markrtiny1100002365000---0.026--2.606%
2016-08-15T03:12:00Jocelyn LaroucheManual testing14200047300006---0.044--3.186%
2016-10-27T01:50:44Jocelyn Larouchelow 4M170400170400---0.019--1.129%
2016-12-24T02:28:27Jocelyn Larouchelow 4M204480204480---0.023--1.242%
2017-02-24T04:40:17mikrMSI27000008400000012---0.798--7.683%
2017-02-25T21:08:03Jocelyn Larouchelow 4M29445129445106---0.049--3.203%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-03-31T00:00:00ANONYMOUSv4_computers21258--0.014--
1998-07-11T00:00:00ANONYMOUSv4_computers21258--0.014--
2016-02-23T16:29:21Mark RoseManual testing258260--0.042--
2009-01-31T07:44:00Sturle Sundeantonov.ifi260261--0.055--
2012-03-19T16:43:00Grant McCrackenthumper261262--0.111--
2013-01-10T10:19:00dbaughManual testing262263--0.354--
2015-04-21T09:20:00VictordeHollanderManual testing263264--0.708--
2015-04-21T09:20:00VictordeHollanderManual testing264265--1.348--
2015-12-06T01:33:44omylistManual testing265266--2.696--
2017-10-12T12:41:22Gordon SpenceManual testing266267--5.393--
2019-02-24T11:40:38chuenkitManual testing267268--10.79--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.576 GHz-days
Estimated T-Level:2.200
DigitsB1CurvesCompleteFacMiss
201100044 / 1000.44064.261%
255000044 / 2800.15785.434%

New Calculation Method

Total ECM effort:4.576 GHz-days
Estimated T-Level:2.200
DigitsB1CompleteFacMiss
20110001.41924.187%
25500000.12887.961%
302500000.00899.213%


ECM Summary

B1B2factorcurvesGHz-days
500005000000434.472
50000500000010.104


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-02T00:00:00ANONYMOUSv4_computers91F9E4851A9AD55C0.214
2018-08-22T18:15:48kkmrkkblmbrbkold91F9E4851A9AD55C0.214


PRP results:
dateuseridcompidcofactorsres64PRP
2020-10-13T15:42:47mrh.orgx
2356182102899130095261447
340B7C3E881B5F82no


P-1 factor-bounds graph:
B1 = 2700000, B2 = 84000000 (P-1 stage 2)
B1 = 2700000 (P-1 stage 1)
B1 = 294451, B2 = 2944510 (P-1 stage 2)
B1 = 142000, B2 = 4730000 (P-1 stage 2)
B1 = 294451 (P-1 stage 1)
B1 = 110000, B2 = 2365000 (P-1 stage 2)
B1 = 204480 (P-1 stage 1)
B1 = 170400 (P-1 stage 1)
B1 = 142000 (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: 2020-10-13T15:42:47+00:00