is 2 2916931 - 1
has 878084 decimal digits
takes 0.225 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L231AEC1C4F3184C1double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26820.434167.6471%50000002000000001.74989.1929%22.183970.6212%2.9742%
PrimeNet2590.026362.7119%130002600000.00303.0675%0.029363.8557%1.1438%
GPU722630.547265.0794%160003000000.00351.9111%0.550765.7467%0.6674%
Difference+5+19.8869+2.5677%+4984000+199700000+1.7463+7.2819%+21.6332+4.8745%+4.8745%

Known prime factors (1 factor, 87.6 bits, 0.00300173% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
29169312278583380734609474171094632787.55839057889623282303801
3 × 617 × 887 × 23789139618173
2021-04-028872378913961817318,329,599145,153271,106

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-12-13T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.246%
2003-12-23T00:00:00Team Prime Ribv4_computers1000010000---0.001--0.145%
2010-11-13T11:54:00Jocelyn LaroucheManual testing1500015000---0.002--0.213%
2010-11-15T22:33:00markrtiny1050002283750---0.025--2.582%
2015-04-25T17:20:00VictordeHollanderManual testing100000020000000---0.228--5.537%
2020-04-01T21:20:18masserManual testing500000020000000012---1.750--9.193%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:24Mark RoseManual testing21260--0.053--
2009-02-14T00:12:00Sturle Sundekrebs.ifi260261--0.053--
2011-12-22T17:30:00Grant McCrackenthumper261262--0.105--
2013-01-10T21:10:00dbaughManual testing262263--0.337--
2015-04-25T17:15:00VictordeHollanderManual testing263264--0.673--
2015-04-25T17:15:00VictordeHollanderManual testing264265--1.281--
2016-02-17T03:24:02YxinityManual testing265266--2.562--
2017-11-19T23:57:51Gordon SpenceManual testing266267--5.124--
2018-12-18T01:52:41chuenkitManual testing267268--10.25--


ECM factoring results:

Old Calculation Method

Total ECM effort:7.132 GHz-days
Estimated T-Level:3.400
DigitsB1CurvesCompleteFacMiss
201100068 / 1000.68050.489%
255000068 / 2800.24378.404%

New Calculation Method

Total ECM effort:7.132 GHz-days
Estimated T-Level:3.400
DigitsB1CompleteFacMiss
20110002.6157.314%
25500000.24278.506%
302500000.01598.485%


ECM Summary

B1B2factorcurvesGHz-days
500005000000677.027
50000500000010.105


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-16T00:00:00ANONYMOUSv4_computers231AEC1C4F3184C10.225
2018-10-04T11:59:34kkmrkkblmbrbkold231AEC1C4F3184C10.225


PRP results:
dateuseridcompidcofactorsres64PRP
2021-04-03T12:36:11Kirill Frolovshodan1
227858338073460947417109463
378C6E42F5695CDDno
2021-04-04T12:29:34daveward2005Davy
227858338073460947417109463
378C6E42F5695CDDno


P-1 factor-bounds graph:
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 1000000, B2 = 20000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 105000, B2 = 2283750 (P-1 stage 2)
B1 = 105000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-04-04T12:29:34+00:00