is 2 2614303 - 1
has 786984 decimal digits
takes 0.202 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L840F609EA51406CFdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27091.401368.5714%2000000052108682010320.066915.8742%411.468273.5605%4.9890%
Target2630.610565.0794%120002000000.00251.5320%0.613065.6143%0.5350%
Difference+7+90.7908+3.4921%+19988000+52108482010+320.0644+14.3422%+410.8552+7.9461%+4.4540%

Known prime factors (1 factor, 156.0 bits, 0.00596892% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
26143039428637321556000209913000815641524668707988709747156.04618032793676853831040076457885030015014916
22 × 23 × 89 × 103 × 4423 × 17053 × 267517 × 3876497 × 5110717 × 53488147
2023-01-155110717534881476.790e+100.86751.1649

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-31T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.154%
2003-11-08T00:00:00Team Prime Ribv4_computers15000217500---0.003--0.568%
2010-11-17T11:35:00Jocelyn LaroucheManual testing2000020000---0.002--0.187%
2010-12-13T20:12:00markrtiny1000002125000---0.024--1.942%
2014-10-12T23:56:00Jocelyn LaroucheManual testing124551124551---0.014--0.712%
2016-05-24T01:15:55Jocelyn LaroucheManual testing20000036000006---0.043--2.527%
2017-07-20T22:03:18Jocelyn Larouchelow 4M40000040000006---0.067--2.875%
2019-10-14T15:57:35masserManual testing26143032614303012---0.436--5.213%
2022-11-30T06:31:07Jocelyn LaroucheManual testing1000000449428980---2.848--7.415%
2023-01-15T17:28:26kurlypurr200000005210868201047156.046320.10.404640.115.874%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-26T00:00:00ANONYMOUSv4_computers21259--0.029--
2016-02-23T16:29:17Mark RoseManual testing259260--0.029--
2009-01-31T15:09:00Sturle Sundegilia.ifi260261--0.059--
2012-06-25T03:11:00markroldgamer261262--0.117--
2013-01-14T11:55:00dbaughManual testing262263--0.375--
2015-02-18T11:41:00VictordeHollanderManual testing263264--0.751--
2015-02-18T11:41:00VictordeHollanderManual testing264265--1.429--
2016-01-16T11:43:04ramgeisManual testing265266--2.858--
2017-08-28T12:47:26Gordon SpenceManual testing266267--5.717--
2019-04-29T13:20:18TJAOIManual testing267268--11.43--
2021-06-03T11:39:06TJAOIManual testing268269--22.87--
2022-12-31T20:07:01Architects CubedGPU72_TF269270--45.73--


ECM factoring results:
Total ECM effort:17.636 GHz-days
Estimated T-Level:22.961
DigitsB1CompleteFacMiss
20110006.3650.172%
25500000.59255.308%
302500000.03896.300%
3510000000.00299.822%


ECM Summary

B1B2factorcurvesGHz-days
500005000070.417
50000500000013513.91
50000515000070.731
50000690000070.838
50000700000070.844
766201000000050.892


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-02T00:00:00ANONYMOUSv4_computers840F609EA51406CF0.202
2018-06-30T18:49:24kkmrkkblmbrbkold840F609EA51406CF0.202


PRP results:
dateuseridcompidcofactorsres64PRP
2023-01-15T22:23:26kurlypurr
94286373215560002099130008156415246687079887097
C21A4A6A541AC5__no


P-1 factor-bounds graph:
B1 = 20000000, B2 = 52108682010 (P-1 stage 2)
B1 = 1000000, B2 = 449428980 (P-1 stage 2)
B1 = 20000000 (P-1 stage 1)
B1 = 2614303, B2 = 26143030 (P-1 stage 2)
B1 = 2614303 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 400000, B2 = 4000000 (P-1 stage 2)
B1 = 400000 (P-1 stage 1)
B1 = 200000, B2 = 3600000 (P-1 stage 2)
B1 = 100000, B2 = 2125000 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 124551 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 15000, B2 = 217500 (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: 2023-01-15T22:23:26+00:00