is 2 2829863 - 1
has 851874 decimal digits
takes 0.219 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L0C620EADD840E7C6double-checked
PRPBE58658F01E0B0CCverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26821.062867.6471%50000002000000001.74989.1674%22.812670.6130%2.9659%
PrimeNet2590.027162.7119%120002400000.00272.9327%0.029963.8054%1.0936%
GPU722630.564065.0794%160002600000.00331.8265%0.567365.7172%0.6378%
Difference+5+20.4988+2.5677%+4984000+199740000+1.7465+7.3409%+22.2453+4.8958%+4.8958%

Known prime factors (1 factor, 81.4 bits, 0.00287737% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
282986332475857810264061340693432581.426573806184438329017
7 × 82038811 × 999189421
2021-01-1882038811999189421196,92014.78418.699

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-28T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.244%
2016-09-19T01:31:07Jocelyn Larouchelow 4M12000033000006---0.033--2.867%
2016-09-21T12:09:21Jocelyn Larouchelow 4M1200003630000---0.035--2.927%
2016-09-22T12:02:48Jocelyn Larouchelow 4M1200003993000---0.037--2.988%
2016-12-16T01:22:16Jocelyn Larouchelow 4M172800172800---0.019--1.142%
2016-12-24T02:28:30Jocelyn Larouchelow 4M207360207360---0.023--1.255%
2017-02-25T21:08:05Jocelyn Larouchelow 4M29859829859806---0.050--3.228%
2017-10-07T21:35:21Jocelyn Larouchelow 4M59719659719606---0.100--4.096%
2019-11-10T16:24:58masserManual testing30000003000000012---0.501--6.484%
2020-01-25T15:25:40masserManual testing500000020000000012---1.750--9.167%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1997-11-21T00:00:00rpaliv4_computers21259--0.027--
2016-02-23T16:29:22Mark RoseManual testing259260--0.027--
2009-02-12T17:01:00Sturle Sundegonzo.ifi260261--0.054--
2012-02-12T13:17:00markroldgamer261262--0.109--
2013-01-10T10:23:00dbaughManual testing262263--0.347--
2015-04-21T09:19:00VictordeHollanderManual testing263264--0.694--
2015-04-21T09:19:00VictordeHollanderManual testing264265--1.320--
2016-02-14T20:28:48ramgeisManual testing265266--2.641--
2017-10-28T16:39:40Gordon SpenceManual testing266267--5.281--
2019-01-04T01:17:00chuenkitManual testing267268--10.56--


ECM factoring results:

Old Calculation Method

Total ECM effort:6.575 GHz-days
Estimated T-Level:3.150
DigitsB1CurvesCompleteFacMiss
201100063 / 1000.63053.091%
255000063 / 2800.22579.819%

New Calculation Method

Total ECM effort:6.575 GHz-days
Estimated T-Level:3.150
DigitsB1CompleteFacMiss
20110002.4238.865%
25500000.22479.916%
302500000.01498.596%


ECM Summary

B1B2factorcurvesGHz-days
500005000000586.053
50000500000050.522


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-11-29T00:00:00rpaliv4_computers0C620EADD840E7C60.219
1999-05-23T00:00:00ANONYMOUSv4_computers0C620EADD840E7C60.219
2018-09-10T05:46:26kkmrkkblmbrbkold0C620EADD840E7C60.219


PRP results:
dateuseridcompidcofactorsres64PRP
2021-01-19T14:53:00mrhlanai
3247585781026406134069343
BE58658F01E0B0CCno


P-1 factor-bounds graph:
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 3000000, B2 = 30000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 597196, B2 = 5971960 (P-1 stage 2)
B1 = 597196 (P-1 stage 1)
B1 = 298598, B2 = 2985980 (P-1 stage 2)
B1 = 120000, B2 = 3993000 (P-1 stage 2)
B1 = 120000, B2 = 3630000 (P-1 stage 2)
B1 = 298598 (P-1 stage 1)
B1 = 120000, B2 = 3300000 (P-1 stage 2)
B1 = 207360 (P-1 stage 1)
B1 = 172800 (P-1 stage 1)
B1 = 120000 (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: 2021-01-19T14:53:00+00:00