is 2 2981999 - 1
has 897672 decimal digits
takes 0.254 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LE7279F3655BE7C00double-checked
PRP29D3690D2417D05Fverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26819.988267.6471%3000000900000000.95527.8858%20.943470.1983%2.5513%
PrimeNet2600.051563.3333%120002200000.00292.5123%0.054464.2545%0.9212%
GPU722641.193665.6250%130002000000.00291.3853%1.196566.1012%0.4762%
Difference+4+18.7946+2.0221%+2987000+89800000+0.9523+6.5005%+19.7470+4.0972%+4.0972%

Known prime factors (1 factor, 91.8 bits, 0.00307996% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
298199944450652939010423164964511772891.844745316362262536358412
22 × 3 × 83 × 5653 × 10657 × 12421309007
2020-10-151065712421309007234,129,59583.519155.99

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-12-13T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.247%
2003-12-23T00:00:00Team Prime Ribv4_computers1000010000---0.001--0.146%
2010-10-25T07:41:00markrtiny1000002025000---0.025--2.494%
2016-06-18T23:47:20Jocelyn LaroucheManual testing19840040500006---0.050--3.294%
2017-07-10T01:11:31Jocelyn Larouchelow 4M39680039680006---0.073--3.597%
2019-10-14T13:34:02BigBrotherWinston30000009000000012---0.955--7.886%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-05-02T00:00:00ANONYMOUSv4_computers21260--0.052--
2009-02-13T15:51:00Sturle Sundegorilla.ifi260261--0.052--
2011-07-13T17:58:00Rob_Deetwopc261262--0.103--
2013-01-07T13:51:00dbaughManual testing262263--0.329--
2015-04-13T19:44:00lycornManual testing263264--0.658--
2015-04-13T19:44:00lycornManual testing264265--1.253--
2016-02-27T17:18:48omylistManual testing265266--2.506--
2017-12-03T16:23:26Gordon SpenceManual testing266267--5.012--
2018-12-27T01:47:29chuenkitManual testing267268--10.02--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.668 GHz-days
Estimated T-Level:1.150
DigitsB1CurvesCompleteFacMiss
201100023 / 1000.23079.361%
255000023 / 2800.08292.100%

New Calculation Method

Total ECM effort:2.668 GHz-days
Estimated T-Level:1.150
DigitsB1CompleteFacMiss
20110000.74247.619%
25500000.06793.514%
302500000.00499.588%


ECM Summary

B1B2factorcurvesGHz-days
500005000000222.552
50000500000010.116


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-11-24T00:00:00ANONYMOUSv4_computersE7279F3655BE7C000.254
2018-10-20T07:30:09kkmrkkblmbrbkoldE7279F3655BE7C000.254


PRP results:
dateuseridcompidcofactorsres64PRP
2020-10-15T11:48:47ATHec2-PRPCF
4445065293901042316496451177
29D3690D2417D05Fno


P-1 factor-bounds graph:
B1 = 3000000, B2 = 90000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 396800, B2 = 3968000 (P-1 stage 2)
B1 = 198400, B2 = 4050000 (P-1 stage 2)
B1 = 396800 (P-1 stage 1)
B1 = 100000, B2 = 2025000 (P-1 stage 2)
B1 = 198400 (P-1 stage 1)
B1 = 100000 (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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102
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TF factor-bounds graph:
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266
265
264
263
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261
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2100
Last modified: 2020-10-15T11:48:47+00:00