is 2 2912779 - 1
has 876834 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-LAF90A8E0EFDBE6DFdouble-checked
PRP68DB4ED45CE30CC2verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26820.463267.6471%50000002000000001.74989.1917%22.213070.6209%2.9738%
PrimeNet2590.026462.7119%130002600000.00303.0667%0.029363.8554%1.1435%
GPU722630.547965.0794%160003000000.00351.9106%0.551565.7465%0.6672%
Difference+5+19.9153+2.5677%+4984000+199700000+1.7463+7.2812%+21.6616+4.8743%+4.8743%

Known prime factors (1 factor, 70.6 bits, 0.00242403% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
291277917977629201311765198472270.607308599265534937
3 × 13 × 7912801680383
2021-03-19137912801680383116.1048,28190,176

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-12-02T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.246%
2009-07-03T00:44:00Carsten Kossendeyleela15000168750---0.003--0.737%
2010-12-24T02:50:00Jocelyn LaroucheManual testing2000020000---0.002--0.273%
2011-01-26T18:09:00markrtiny1050002283750---0.025--2.581%
2015-04-25T17:20:00VictordeHollanderManual testing100000020000000---0.228--5.536%
2020-03-30T16:31:01masserManual testing500000020000000012---1.750--9.192%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:24Mark RoseManual testing21260--0.053--
2009-02-14T06:03:00Sturle Sundehindemith.ifi260261--0.053--
2011-12-18T11:22:00Grant McCrackenthumper261262--0.105--
2013-01-07T13:47:00dbaughManual testing262263--0.337--
2015-04-25T17:15:00VictordeHollanderManual testing263264--0.674--
2015-04-25T17:15:00VictordeHollanderManual testing264265--1.283--
2016-02-22T09:35:52ramgeisManual testing265266--2.566--
2017-11-19T23:57:50Gordon SpenceManual testing266267--5.131--
2018-12-17T01:16:50chuenkitManual testing267268--10.26--


ECM factoring results:

Old Calculation Method

Total ECM effort:7.348 GHz-days
Estimated T-Level:3.450
DigitsB1CurvesCompleteFacMiss
201100069 / 1000.69049.984%
255000069 / 2800.24678.124%

New Calculation Method

Total ECM effort:7.348 GHz-days
Estimated T-Level:3.450
DigitsB1CompleteFacMiss
20110002.24110.631%
25500000.20381.635%
302500000.01398.757%


ECM Summary

B1B2factorcurvesGHz-days
500005000000565.872
50000500000060.629
50000675000070.846


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-08-07T00:00:00ANONYMOUSv4_computersAF90A8E0EFDBE6DF0.225
2018-10-03T10:22:05kkmrkkblmbrbkoldAF90A8E0EFDBE6DF0.225


PRP results:
dateuseridcompidcofactorsres64PRP
2021-03-23T02:17:26volkihome
1797762920131176519847
68DB4ED45CE30CC2no


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, B2 = 168750 (P-1 stage 2)
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: 2021-03-23T02:17:26+00:00