is 2 2390023 - 1
has 719469 decimal digits
takes 0.161 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L5B40EC04EC7180EDdouble-checked
PRPDBC840098B6141C0verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26824.939067.6471%30000001000000000.81157.8436%25.750670.1847%2.5376%
PrimeNet2590.032162.7119%100001700000.00182.4777%0.034063.6357%0.9239%
GPU722630.667865.0794%100001400000.00171.2737%0.669565.5242%0.4448%
Difference+5+24.2713+2.5677%+2990000+99860000+0.8099+6.5698%+25.0811+4.6605%+4.6605%

Known prime factors (1 factor, 74.1 bits, 0.00310190% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2390023207577752005626062596632374.1364342589004491297
7 × 620369857784471
2020-10-0576203698577844712,355.13,310,8456,183,736

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-09-21T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.232%
2010-11-08T11:36:00Jocelyn LaroucheManual testing1500015000---0.001--0.203%
2010-11-15T22:51:00Jocelyn LaroucheManual testing2000020000---0.002--0.261%
2010-12-25T05:37:00markrtiny1000002075000---0.020--2.426%
2014-09-15T22:12:00ANONYMOUSManual testing126855126855---0.012--0.936%
2015-11-21T00:15:58mikrMSI300000010000000012---0.812--7.844%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1997-12-13T00:00:00ANONYMOUSv4_computers21258--0.016--
1999-03-15T00:00:00ANONYMOUSv4_computers21259--0.032--
2016-02-23T16:29:13Mark RoseManual testing259260--0.032--
2009-01-15T21:54:00Sturle Sundeantonov.ifi260261--0.064--
2012-06-01T19:42:00Sebastian HornbostelManual testing261262--0.129--
2013-01-23T08:27:00dbaughManual testing262263--0.411--
2015-03-10T10:44:00VictordeHollanderManual testing263264--0.821--
2015-03-10T10:44:00VictordeHollanderManual testing264265--1.563--
2015-11-02T09:33:37ramgeisManual testing265266--3.127--
2017-06-23T15:59:17Gordon SpenceManual testing266267--6.253--
2019-03-11T11:16:31TJAOIManual testing267268--12.51--


ECM factoring results:

Old Calculation Method

Total ECM effort:7.995 GHz-days
Estimated T-Level:4.550
DigitsB1CurvesCompleteFacMiss
201100091 / 1000.91040.068%
255000088 / 2800.31472.990%

New Calculation Method

Total ECM effort:7.995 GHz-days
Estimated T-Level:4.550
DigitsB1CompleteFacMiss
20110002.8905.560%
25500000.26177.050%
302500000.01698.409%


ECM Summary

B1B2factorcurvesGHz-days
5000050000030.166
500005000000857.562
50000500000030.267


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-12-13T00:00:00ANONYMOUSv4_computers5B40EC04EC7180ED0.161
1999-06-06T00:00:00ANONYMOUSv4_computers5B40EC04EC7180ED0.161
2018-05-16T17:28:58kkmrkkblmbrbkold5B40EC04EC7180ED0.161


PRP results:
dateuseridcompidcofactorsres64PRP
2020-10-05T16:38:55Xyzzyi9-10900KF
20757775200562606259663
DBC840098B6141C0no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 100000, B2 = 2075000 (P-1 stage 2)
B1 = 126855 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
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: 2020-10-05T16:38:55+00:00