is 2 2846759 - 1
has 856960 decimal digits
takes 0.220 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L4A92388D8877FEA7double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26820.937867.6471%50000002000000001.74989.1724%22.687670.6146%2.9675%
PrimeNet2590.027062.7119%130002400000.00282.9922%0.029863.8276%1.1157%
GPU722630.560665.0794%160002600000.00331.8286%0.563965.7179%0.6385%
Difference+5+20.3772+2.5677%+4984000+199740000+1.7465+7.3439%+22.1237+4.8967%+4.8967%

Known prime factors (1 factor, 81.1 bits, 0.00284872% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
284675925843551329324456071109532581.096453911822695993164
22 × 3 × 21961 × 1722416339177
2021-04-24219611722416339177342,72310,51019,629

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-28T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.244%
2008-10-31T23:37:00Jayson Kingatlas35000560000---0.007--1.388%
2011-01-25T02:46:00Jocelyn LaroucheManual testing5000050000---0.006--0.543%
2012-01-14T20:00:00Squeeky_SquirrelP4_26001950004875000---0.050--3.398%
2017-06-28T04:14:50Jocelyn Larouchelow 4M39000039000006---0.065--3.554%
2019-11-01T13:51:58masserManual testing28500002850000012---0.476--6.405%
2020-03-15T14:44:30masserManual testing500000020000000012---1.750--9.172%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:23Mark RoseManual testing21260--0.054--
2009-02-12T15:38:00Sturle Sundegiasha.ifi260261--0.054--
2012-02-05T14:31:00markroldgamer261262--0.108--
2013-01-07T13:46:00dbaughManual testing262263--0.345--
2015-04-21T09:19:00VictordeHollanderManual testing263264--0.690--
2015-04-21T09:19:00VictordeHollanderManual testing264265--1.312--
2016-02-14T20:28:50ramgeisManual testing265266--2.625--
2017-11-05T22:24:14Gordon SpenceManual testing266267--5.250--
2019-01-07T01:09:16chuenkitManual testing267268--10.50--


ECM factoring results:

Old Calculation Method

Total ECM effort:8.364 GHz-days
Estimated T-Level:3.950
DigitsB1CurvesCompleteFacMiss
201100079 / 1000.79045.204%
255000079 / 2800.28275.379%

New Calculation Method

Total ECM effort:8.364 GHz-days
Estimated T-Level:3.950
DigitsB1CompleteFacMiss
20110002.5647.700%
25500000.23279.290%
302500000.01498.580%


ECM Summary

B1B2factorcurvesGHz-days
500005000000697.208
50000500000030.313
50000675000070.842


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-16T00:00:00ANONYMOUSv4_computers4A92388D8877FEA70.220
2018-09-15T13:07:14kkmrkkblmbrbkold4A92388D8877FEA70.220


PRP results:
dateuseridcompidcofactorsres64PRP
2021-04-24T05:28:47SRJ2877LTOS
2584355132932445607110953
02E71180FE495917no
2021-04-30T19:01:17Kirill Frolovshodan1
2584355132932445607110953
02E71180FE495917no


P-1 factor-bounds graph:
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 2850000, B2 = 28500000 (P-1 stage 2)
B1 = 2850000 (P-1 stage 1)
B1 = 390000, B2 = 3900000 (P-1 stage 2)
B1 = 195000, B2 = 4875000 (P-1 stage 2)
B1 = 390000 (P-1 stage 1)
B1 = 195000 (P-1 stage 1)
B1 = 35000, B2 = 560000 (P-1 stage 2)
B1 = 50000 (P-1 stage 1)
B1 = 35000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
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102
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1010
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TF factor-bounds graph:
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266
265
264
263
262
261
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2100
Last modified: 2021-04-30T19:01:17+00:00