is 2 4058933 - 1
has 1221861 decimal digits
takes 0.506 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L0C0E6357822AA867double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual271117.784269.0141%620000026931564660266.418413.3946%384.202673.1645%4.1504%
PrimeNet2610.075763.9344%160003200000.00592.7350%0.081664.9208%0.9864%
GPU722651.797466.1538%220003600000.00731.7538%1.804866.7475%0.5936%
Difference+6+115.9868+2.8602%+6178000+26931204660+266.4111+11.6407%+382.3978+6.4171%+3.5568%

Known prime factors (1 factor, 129.7 bits, 0.00319652% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4058933114018432771330709780935855941712847207340129.744140453701467024350711056151877492
22 × 3 × 240043 × 422431 × 959689 × 3205087 × 37526389
2022-09-163205087375263893.906e+100.91781.1796

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-17T22:40:00Carsten Kossendeydurandal20000300000---0.006--0.661%
2011-07-23T19:45:00harleeP4_260040000580000---0.013--1.022%
2013-07-03T01:38:00Squeeky_SquirrelP4_26001200002310000---0.043--1.957%
2019-05-29T12:24:08BigBrotherWinston30000009000000012---1.400--6.348%
2022-09-16T13:33:51DRobinsonPEi3-910062000002693156466040129.744266.41.012532.813.395%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-06-27T02:01:33ATH5960X250000017250000027--2.053


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-08-12T00:00:00ANONYMOUSv4_computers21261--0.076--
2010-10-16T11:41:00Grant McCrackenthumper261262--0.076--
2011-07-01T19:07:00GrunwalderGIMPManual testing21263--0.393--
2016-02-23T16:29:47Mark RoseManual testing262263--0.242--
2013-08-19T19:44:00JayderManual testing263264--0.484--
2013-10-27T04:43:00David CampeauManual testing264265--0.921--
2015-05-21T23:03:00snme2pm1Manual testing265266--1.841--
2016-09-25T16:42:31kkmrkkblmbrbkManual testing266267--3.682--
2018-11-03T05:35:18YxinityManual testing267268--7.364--
2020-12-12T19:10:44mikrManual testing268269--14.73--
2020-12-12T19:10:44mikrManual testing269270--29.46--
2022-04-08T06:58:19mikrManual testing270271--58.91--


ECM factoring results:
Total ECM effort:2.166 GHz-days
Estimated T-Level:2.308
DigitsB1CompleteFacMiss
20110000.46263.031%
25500000.04395.819%
302500000.00399.731%


ECM Summary

B1B2factorcurvesGHz-days
500005000000122.166


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-10-15T00:00:00sssvsv4_computers0C0E6357822AA8670.506


PRP results:
dateuseridcompidcofactorsres64PRP
2022-09-21T23:48:08ThomRuleyMainLaptop
1140184327713307097809358559417128472073
E7DFB049652700__no


P-1 factor-bounds graph:
B1 = 6200000, B2 = 26931564660 (P-1 stage 2)
B1 = 3000000, B2 = 90000000 (P-1 stage 2)
B1 = 6200000 (P-1 stage 1)
B1 = 3000000 (P-1 stage 1)
B1 = 120000, B2 = 2310000 (P-1 stage 2)
B1 = 120000 (P-1 stage 1)
B1 = 40000, B2 = 580000 (P-1 stage 2)
B1 = 40000 (P-1 stage 1)
B1 = 20000, B2 = 300000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
103
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1010
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TF factor-bounds graph:
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268
267
266
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250
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Last modified: 2022-09-21T23:48:08+00:00