is 2 2423219 - 1
has 729462 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-L88BFFFF853D91780double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26824.597467.6471%1986400695240000.55507.1719%25.152469.9674%2.3203%
PrimeNet2590.031762.7119%100001800000.00192.5230%0.033663.6527%0.9408%
GPU722630.658665.0794%100001400000.00171.2774%0.660365.5254%0.4461%
Difference+5+23.9388+2.5677%+1976400+69384000+0.5533+5.8945%+24.4921+4.4419%+4.4419%

Known prime factors (1 factor, 75.9 bits, 0.00313066% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2423219686967068278356851836572375.86314174679801502812
22 × 3 × 1181223316791901
2020-05-07411812233167919015,667.66,304,05811,774,224

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-08T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.233%
2010-11-14T17:33:00Jocelyn LaroucheManual testing1500015000---0.001--0.203%
2010-11-14T17:54:00Oscar Östlin7501175011---0.007--0.686%
2011-01-24T01:40:00Oscar Östlin950001923750---0.019--2.363%
2014-04-17T14:39:00mikrMSI198640069524000---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--
2009-01-14T16:02:00Sturle Sundeghibu.ifi260261--0.063--
2012-06-04T23:42:00Sebastian 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--3.084--
2017-07-05T06:34:29Gordon SpenceManual testing266267--6.168--
2019-04-29T13:20:23TJAOIManual testing267268--12.34--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.011 GHz-days
Estimated T-Level:2.250
DigitsB1CurvesCompleteFacMiss
201100045 / 1000.45063.619%
255000045 / 2800.16185.129%

New Calculation Method

Total ECM effort:4.011 GHz-days
Estimated T-Level:2.250
DigitsB1CompleteFacMiss
20110001.45223.419%
25500000.13187.705%
302500000.00899.195%


ECM Summary

B1B2factorcurvesGHz-days
500005000000423.744
50000500000030.267


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-15T00:00:00MadPoov4_computers88BFFFF853D917800.164
2018-05-20T13:59:16kkmrkkblmbrbkold88BFFFF853D917800.164


PRP results:
dateuseridcompidcofactorsres64PRP
2020-05-07T15:42:20Oliver KruseIOS-1
68696706827835685183657
6993977E7ED2124Ano
2020-05-07T16:05:20CrypticCluecruncher
68696706827835685183657
6993977E7ED2124Ano


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 = 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: 2020-05-07T16:05:20+00:00