is 2 2768767 - 1
has 833482 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-L209112E30219CDABdouble-checked
PRPD5D074C0210F5E4Fverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26821.527667.6471%2700000840000000.79847.6819%22.326070.1324%2.4853%
PrimeNet2590.027762.7119%120002200000.00262.8560%0.030363.7768%1.0649%
GPU722630.576465.0794%150002400000.00311.7461%0.579565.6891%0.6098%
Difference+5+20.9512+2.5677%+2685000+83760000+0.7954+5.9358%+21.7465+4.4433%+4.4433%

Known prime factors (1 factor, 81.1 bits, 0.00292777% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
276876725260034160200610776233612581.063456160344301283040
25 × 32 × 5 × 13711 × 23103932381
2021-04-241371123103932381349,161140.97263.30

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%
2010-12-01T02:41:00markrtiny1100002365000---0.026--2.606%
2016-08-12T14:59:55Jocelyn LaroucheManual testing14200047300006---0.044--3.186%
2016-10-27T01:50:43Jocelyn Larouchelow 4M170400170400---0.019--1.129%
2016-12-24T02:28:26Jocelyn Larouchelow 4M204480204480---0.023--1.241%
2017-02-11T04:19:48mikrMSI27000008400000012---0.798--7.682%
2017-02-25T21:08:02Jocelyn Larouchelow 4M29445129445106---0.049--3.203%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:21Mark RoseManual testing21260--0.055--
2009-01-29T00:26:00Sturle Sundegollumilla.ifi260261--0.055--
2012-03-10T13:29:00markroldgamer261262--0.111--
2013-01-10T10:19:00dbaughManual testing262263--0.355--
2015-04-21T09:20:00VictordeHollanderManual testing263264--0.709--
2015-04-21T09:20:00VictordeHollanderManual testing264265--1.349--
2016-02-08T11:13:51ramgeisManual testing265266--2.699--
2017-10-12T12:41:21Gordon SpenceManual testing266267--5.398--
2019-02-23T00:52:21chuenkitManual testing267268--10.80--


ECM factoring results:

Old Calculation Method

Total ECM effort:9.359 GHz-days
Estimated T-Level:4.500
DigitsB1CurvesCompleteFacMiss
201100090 / 1000.90040.473%
255000090 / 2800.32172.470%

New Calculation Method

Total ECM effort:9.359 GHz-days
Estimated T-Level:4.500
DigitsB1CompleteFacMiss
20110002.9035.485%
25500000.26276.921%
302500000.01698.397%


ECM Summary

B1B2factorcurvesGHz-days
500005000000858.840
50000500000050.520


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-23T00:00:00ANONYMOUSv4_computers209112E30219CDAB0.214
2018-08-20T17:38:55kkmrkkblmbrbkold209112E30219CDAB0.214


PRP results:
dateuseridcompidcofactorsres64PRP
2021-04-24T05:10:18LOBESLENOVO
2526003416020061077623361
D5D074C0210F5E4Fno
2021-04-30T18:50:37Kirill Frolovshodan1
2526003416020061077623361
D5D074C0210F5E4Fno


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: 2021-04-30T18:50:37+00:00