is 2 2378617 - 1
has 716036 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-L11E128C808ABF63Cdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26825.058667.6471%30000001000000000.81157.8399%25.870270.1835%2.5364%
PrimeNet2590.032362.7119%100001700000.00182.4755%0.034163.6349%0.9231%
GPU722630.671065.0794%100001400000.00171.2725%0.672765.5237%0.4444%
Difference+5+24.3876+2.5677%+2990000+99860000+0.8099+6.5674%+25.1975+4.6598%+4.6598%

Known prime factors (1 factor, 72.6 bits, 0.00305422% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
237861774014628738058639145212272.6481555833258108780
22 × 3 × 5 × 7 × 89 × 41622077531
2020-07-168941622077531438.61222.13414.88

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-09-21T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.232%
2010-11-07T17:07:00Jocelyn LaroucheManual testing1500015000---0.001--0.203%
2010-11-15T22:51:00Jocelyn LaroucheManual testing2000020000---0.002--0.261%
2010-12-28T05:24:00markrtiny1000002050000---0.020--2.417%
2014-09-10T00:51:00Jocelyn LaroucheManual testing126984126984---0.012--0.936%
2015-10-11T20:07:44mikrMSI300000010000000012---0.812--7.840%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-01T00:00:00ANONYMOUSv4_computers21259--0.032--
2016-02-23T16:29:13Mark RoseManual testing259260--0.032--
2009-01-14T23:22:00Sturle Sundegoober.ifi260261--0.065--
2012-05-31T20:05:00Sebastian HornbostelManual testing261262--0.129--
2013-01-23T08:27:00dbaughManual testing262263--0.413--
2015-03-09T12:35:00VictordeHollanderManual testing263264--0.825--
2015-03-09T12:35:00VictordeHollanderManual testing264265--1.571--
2015-10-31T16:44:16ramgeisManual testing265266--3.142--
2017-06-16T21:40:04Gordon SpenceManual testing266267--6.283--
2019-03-25T14:11:03TJAOIManual testing267268--12.57--


ECM factoring results:

Old Calculation Method

Total ECM effort:5.956 GHz-days
Estimated T-Level:3.350
DigitsB1CurvesCompleteFacMiss
201100067 / 1000.67050.999%
255000067 / 2800.23978.685%

New Calculation Method

Total ECM effort:5.956 GHz-days
Estimated T-Level:3.350
DigitsB1CompleteFacMiss
20110002.16111.518%
25500000.19582.256%
302500000.01298.804%


ECM Summary

B1B2factorcurvesGHz-days
500005000000665.868
50000500000010.089


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-26T00:00:00ANONYMOUSv4_computers11E128C808ABF63C0.161
2018-05-14T18:24:19kkmrkkblmbrbkold11E128C808ABF63C0.161


PRP results:
dateuseridcompidcofactorsres64PRP
2020-07-16T22:05:17CrypticClueManual testing
7401462873805863914521
6B9A4A4C1D34AA5Ano
2020-07-16T23:49:52oodairacom2
7401462873805863914521
6B9A4A4C1D34AA5Ano


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 100000, B2 = 2050000 (P-1 stage 2)
B1 = 126984 (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: 2020-07-16T23:49:52+00:00