is 2 2423569 - 1
has 729567 decimal digits
takes 0.164 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L67B79821F312E983double-checked
PRP593EB619CBECA3ECverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26824.593867.6471%1986400695240000.55507.1720%25.148969.9674%2.3204%
PrimeNet2590.031762.7119%100001800000.00192.5231%0.033663.6527%0.9408%
GPU722630.658565.0794%100001400000.00171.2774%0.660265.5254%0.4461%
Difference+5+23.9353+2.5677%+1976400+69384000+0.5533+5.8946%+24.4886+4.4420%+4.4420%

Known prime factors (1 factor, 73.1 bits, 0.00301476% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
242356998793638476351791246732273.0652038184975883744
25 × 32 × 7077031166263
2020-10-193270770311662631,275.237,76970,543

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-08T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.233%
2010-11-14T17:11:00Oscar Östlin7501175011---0.007--0.686%
2011-01-24T03:01:00Oscar Östlin950001923750---0.019--2.363%
2014-04-18T10:45:00mikrMSI198640069524000---0.555--7.172%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-15T00:00:00ANONYMOUSv4_computers21259--0.032--
2016-02-23T16:29:14Mark RoseManual testing259260--0.032--
2009-01-14T19:28:00Sturle Sundeghibu.ifi260261--0.063--
2012-06-04T23:43:00Sebastian HornbostelManual testing261262--0.127--
2013-01-23T08:28:00dbaughManual testing262263--0.405--
2015-02-27T20:40:00VictordeHollanderManual testing263264--0.810--
2015-02-27T20:40:00VictordeHollanderManual testing264265--1.542--
2015-10-23T09:34:50ramgeisManual testing265266--3.083--
2017-07-05T06:34:29Gordon SpenceManual testing266267--6.167--
2019-04-29T13:20:23TJAOIManual testing267268--12.33--


ECM factoring results:

Old Calculation Method

Total ECM effort:7.577 GHz-days
Estimated T-Level:4.250
DigitsB1CurvesCompleteFacMiss
201100085 / 1000.85042.559%
255000085 / 2800.30473.778%

New Calculation Method

Total ECM effort:7.577 GHz-days
Estimated T-Level:4.250
DigitsB1CompleteFacMiss
20110002.7426.445%
25500000.24878.051%
302500000.01598.486%


ECM Summary

B1B2factorcurvesGHz-days
500005000000786.953
50000500000070.624


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-13T00:00:00ANONYMOUSv4_computers67B79821F312E9830.164
2018-05-20T15:56:32kkmrkkblmbrbkold67B79821F312E9830.164


PRP results:
dateuseridcompidcofactorsres64PRP
2020-10-20T09:43:09tottenhoff3-of-4-Ryzen-5-3600
9879363847635179124673
593EB619CBECA3ECno


P-1 factor-bounds graph:
B1 = 1986400, B2 = 69524000 (P-1 stage 2)
B1 = 1986400 (P-1 stage 1)
B1 = 95000, B2 = 1923750 (P-1 stage 2)
B1 = 95000 (P-1 stage 1)
B1 = 75011 (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: 2020-10-20T09:43:09+00:00