is 2 2866583 - 1
has 862928 decimal digits
takes 0.221 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LB79F38F3FC0702C3double-checked
PRPE4DA13D3125E475Cverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26820.793067.6471%50000002000000001.74989.1783%22.542870.6165%2.9694%
PrimeNet2590.026862.7119%130002400000.00282.9959%0.029663.8290%1.1171%
GPU722630.556865.0794%160002800000.00341.8691%0.560265.7321%0.6527%
Difference+5+20.2362+2.5677%+4984000+199720000+1.7464+7.3091%+21.9826+4.8844%+4.8844%

Known prime factors (1 factor, 75.2 bits, 0.00262347% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2866583435183087810306233861532375.2047590624234677772
22 × 3 × 23 × 27502261719847
2020-08-0223275022617198473,369.6167,809313,421

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-28T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.244%
2009-07-03T00:50:00Carsten Kossendeyleela15000157500---0.003--0.717%
2010-12-21T22:27:00Jocelyn LaroucheManual testing2000020000---0.002--0.272%
2011-01-03T14:36:00Jocelyn LaroucheManual testing3000030000---0.003--0.376%
2011-01-21T23:30:00Jocelyn LaroucheManual testing5000050000---0.006--0.544%
2011-02-10T12:33:00markrtiny1150002415000---0.027--2.655%
2016-08-28T17:32:33Jocelyn Larouchelow4M15306548300006---0.046--3.259%
2016-12-18T19:43:09Jocelyn Larouchelow 4M183678183678---0.021--1.182%
2017-01-10T10:25:05Jocelyn Larouchelow 4M220413220413---0.025--1.297%
2017-01-10T10:25:07Jocelyn Larouchelow 4M264496264496---0.030--1.419%
2017-03-26T18:27:21Jocelyn Larouchelow 4M31739531739506---0.053--3.307%
2017-12-21T09:19:31Jocelyn Larouchelow 4M63479063479006---0.106--4.184%
2019-10-26T17:52:02masserManual testing28700002870000012---0.479--6.421%
2020-03-13T23:19:03masserManual testing500000020000000012---1.750--9.178%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:23Mark RoseManual testing21260--0.054--
2009-02-12T19:32:00Sturle Sundeletov.ifi260261--0.054--
2012-01-26T10:08:00markroldgamer261262--0.107--
2013-01-10T10:24:00dbaughManual testing262263--0.342--
2015-04-21T09:21:00VictordeHollanderManual testing263264--0.685--
2015-04-21T09:21:00VictordeHollanderManual testing264265--1.303--
2016-02-18T12:13:57ramgeisManual testing265266--2.607--
2017-11-12T17:07:18Gordon SpenceManual testing266267--5.214--
2019-01-08T01:21:05chuenkitManual testing267268--10.43--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.092 GHz-days
Estimated T-Level:1.000
DigitsB1CurvesCompleteFacMiss
201100020 / 1000.20081.791%
255000020 / 2800.07193.094%

New Calculation Method

Total ECM effort:2.092 GHz-days
Estimated T-Level:1.000
DigitsB1CompleteFacMiss
20110000.64552.458%
25500000.05894.336%
302500000.00499.642%


ECM Summary

B1B2factorcurvesGHz-days
500005000000181.883
50000500000020.209


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-09T00:00:00ANONYMOUSv4_computersB79F38F3FC0702C30.221
2018-09-20T00:31:28kkmrkkblmbrbkoldB79F38F3FC0702C30.221


PRP results:
dateuseridcompidcofactorsres64PRP
2020-08-02T20:46:52ATHec2-PRPCF
43518308781030623386153
E4DA13D3125E475Cno


P-1 factor-bounds graph:
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 2870000, B2 = 28700000 (P-1 stage 2)
B1 = 2870000 (P-1 stage 1)
B1 = 634790, B2 = 6347900 (P-1 stage 2)
B1 = 634790 (P-1 stage 1)
B1 = 317395, B2 = 3173950 (P-1 stage 2)
B1 = 153065, B2 = 4830000 (P-1 stage 2)
B1 = 317395 (P-1 stage 1)
B1 = 264496 (P-1 stage 1)
B1 = 115000, B2 = 2415000 (P-1 stage 2)
B1 = 220413 (P-1 stage 1)
B1 = 183678 (P-1 stage 1)
B1 = 153065 (P-1 stage 1)
B1 = 115000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000, B2 = 157500 (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: 2020-08-02T20:46:52+00:00