is 2 2664083 - 1
has 801969 decimal digits
takes 0.206 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L58CF28B252E50CEAdouble-checked
PRP1E9606CC02C9BE17verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26944.813568.1159%2000000500000000.51696.2963%45.330370.1235%2.0075%
PrimeNet2590.028862.7119%110002000000.00242.7070%0.031263.7213%1.0094%
GPU722630.599165.0794%130002200000.00271.6204%0.601865.6452%0.5659%
Difference+6+44.2144+3.0366%+1987000+49780000+0.5141+4.6759%+44.7285+4.4782%+4.4782%

Known prime factors (1 factor, 112.9 bits, 0.00423897% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2664083988984372218290715971460872658628134112.9301856144069494626698889375580
22 × 5 × 97 × 1619 × 590966827395880968553
2021-08-2816195909668273958809685535.340e+103.606e+126.735e+12

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-08T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.193%
2003-11-28T00:00:00Team Prime Ribv4_computers15000213750---0.003--0.666%
2010-12-21T22:27:00Jocelyn LaroucheManual testing2000020000---0.002--0.224%
2010-12-26T02:29:00Jocelyn LaroucheManual testing3000030000---0.003--0.313%
2011-02-04T05:05:00markrtiny1050002283750---0.025--2.261%
2014-11-06T23:05:00Jocelyn LaroucheManual testing129092129092---0.014--0.839%
2016-06-07T06:22:17Jocelyn LaroucheManual testing16750045675006---0.046--2.898%
2016-12-21T00:33:40Jocelyn Larouchelow 4M201000201000---0.023--1.072%
2017-04-13T02:13:58Jocelyn Larouchelow 4M33500033500006---0.056--3.002%
2018-07-08T11:30:43Jocelyn Larouchelow 4M67000067000006---0.112--3.822%
2019-11-22T05:04:24masserManual testing20000005000000012---0.517--6.296%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-08-07T00:00:00ANONYMOUSv4_computers21259--0.029--
2016-02-23T16:29:18Mark RoseManual testing259260--0.029--
2009-01-31T02:43:00Sturle Sundefoster.ifi260261--0.058--
2012-05-22T13:32:00markroldgamer261262--0.115--
2013-01-23T08:31:00dbaughManual testing262263--0.368--
2015-02-23T17:25:00VictordeHollanderManual testing263264--0.737--
2015-02-23T17:25:00VictordeHollanderManual testing264265--1.402--
2016-01-25T14:29:33ramgeisManual testing265266--2.805--
2017-09-08T08:21:19Gordon SpenceManual testing266267--5.610--
2019-05-06T12:23:21TJAOIManual testing267268--11.22--
2021-06-21T08:53:45TJAOIManual testing268269--22.44--


ECM factoring results:

Old Calculation Method

Total ECM effort:12.395 GHz-days
Estimated T-Level:22.107
DigitsB1CurvesCompleteFacMiss
2011000118 / 1001.18030.546%
2550000118 / 2800.42165.561%

New Calculation Method

Total ECM effort:12.395 GHz-days
Estimated T-Level:22.107
DigitsB1CompleteFacMiss
20110003.8382.155%
25500000.34770.664%
302500000.02197.883%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010110.44
50000500000030.310
50000645000070.813
50000675000070.832


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-09-30T00:00:00ANONYMOUSv4_computers58CF28B252E50CEA0.206
2018-07-22T20:24:43kkmrkkblmbrbkold58CF28B252E50CEA0.206


PRP results:
dateuseridcompidcofactorsres64PRP
2021-08-28T20:25:25SRJ2877LTOS
9889843722182907159714608726586281
1E9606CC02C9BE17no


P-1 factor-bounds graph:
B1 = 2000000, B2 = 50000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 670000, B2 = 6700000 (P-1 stage 2)
B1 = 670000 (P-1 stage 1)
B1 = 335000, B2 = 3350000 (P-1 stage 2)
B1 = 167500, B2 = 4567500 (P-1 stage 2)
B1 = 335000 (P-1 stage 1)
B1 = 105000, B2 = 2283750 (P-1 stage 2)
B1 = 201000 (P-1 stage 1)
B1 = 167500 (P-1 stage 1)
B1 = 129092 (P-1 stage 1)
B1 = 105000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000, B2 = 213750 (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: 2021-08-28T20:25:25+00:00