is 2 2860133 - 1
has 860986 decimal digits
takes 0.221 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP556F26538BFA99B3verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26820.839967.6471%2870000287000000.47906.4191%21.318969.7238%2.0768%
PrimeNet2590.026962.7119%130002400000.00282.9947%0.029763.8285%1.1167%
GPU722630.558065.0794%160002800000.00341.8683%0.561465.7318%0.6524%
Difference+5+20.2819+2.5677%+2854000+28420000+0.4756+4.5507%+20.7575+3.9920%+3.9920%

Known prime factors (1 factor, 76.2 bits, 0.00266325% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2860133851519996965205930384172376.17214886020981632776
23 × 3 × 620250874234699
2020-10-03862025087423469910,0483,784,5557,068,496

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-28T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.244%
2009-07-03T00:45:00Carsten Kossendeyleela15000157500---0.003--0.717%
2010-12-22T11:37:00Jocelyn LaroucheManual testing2000020000---0.002--0.272%
2011-01-03T14:35:00Jocelyn LaroucheManual testing3000030000---0.003--0.376%
2011-01-27T22:35:00Jocelyn LaroucheManual testing5000050000---0.006--0.543%
2011-01-30T16:00:00markrtiny1050002257500---0.025--2.567%
2016-07-30T17:06:30Jocelyn LaroucheManual testing17406245150006---0.046--3.284%
2016-12-24T02:28:32Jocelyn Larouchelow 4M208874208874---0.023--1.262%
2017-04-22T17:25:08Jocelyn Larouchelow 4M34812434812406---0.058--3.417%
2019-10-23T02:43:14masserManual testing28700002870000012---0.479--6.419%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:23Mark RoseManual testing21260--0.054--
2009-02-13T05:30:00Sturle Sundeaalto.ifi260261--0.054--
2012-01-25T07:47:00lycornManual testing261262--0.107--
2012-01-25T07:47:00lycornManual testing262263--0.343--
2015-04-21T09:21:00VictordeHollanderManual testing263264--0.686--
2015-04-21T09:21:00VictordeHollanderManual testing264265--1.306--
2016-02-18T03:03:08YxinityManual testing265266--2.613--
2017-11-12T17:07:16Gordon SpenceManual testing266267--5.225--
2019-01-07T01:09:20chuenkitManual testing267268--10.45--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.764 GHz-days
Estimated T-Level:1.800
DigitsB1CurvesCompleteFacMiss
201100036 / 1000.36069.641%
255000036 / 2800.12987.915%

New Calculation Method

Total ECM effort:3.764 GHz-days
Estimated T-Level:1.800
DigitsB1CompleteFacMiss
20110001.16131.308%
25500000.10590.036%
302500000.00699.356%


ECM Summary

B1B2factorcurvesGHz-days
500005000000323.345
50000500000040.418


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-09-30T00:00:00ANONYMOUSv4_computers8B27CDB048FA07__0.221


PRP results:
dateuseridcompidcofactorsres64PRP
2020-10-03T02:09:14SRJ2877
85151999696520593038417
556F26538BFA99B3no


P-1 factor-bounds graph:
B1 = 2870000, B2 = 28700000 (P-1 stage 2)
B1 = 2870000 (P-1 stage 1)
B1 = 348124, B2 = 3481240 (P-1 stage 2)
B1 = 174062, B2 = 4515000 (P-1 stage 2)
B1 = 348124 (P-1 stage 1)
B1 = 105000, B2 = 2257500 (P-1 stage 2)
B1 = 208874 (P-1 stage 1)
B1 = 174062 (P-1 stage 1)
B1 = 105000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000, B2 = 157500 (P-1 stage 2)
B1 = 20000 (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: 2020-10-03T02:09:14+00:00