is 2 2241389 - 1
has 674726 decimal digits
takes 0.147 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L90DD37B3080FF4B5double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26826.592867.6471%2000000650000000.51797.0404%27.110769.9248%2.2778%
PrimeNet2580.017162.0690%100001800000.00182.8729%0.019063.1587%1.0897%
GPU722620.274164.5161%110001900000.00201.6587%0.276165.1047%0.5886%
Difference+6+26.3187+3.1309%+1989000+64810000+0.5159+5.3817%+26.8347+4.8202%+4.8202%

Known prime factors (1 factor, 73.6 bits, 0.00328576% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2241389147852110520547520876332373.6473298225130054344
23 × 7 × 73 × 806806538663
2020-07-23738068065386631,541.44,190.87,827.2

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-27T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.228%
2010-11-10T22:07:00Jocelyn LaroucheManual testing3000030000---0.003--0.356%
2011-01-07T22:24:00markrtiny1000002050000---0.020--2.395%
2014-08-25T00:29:00ANONYMOUSManual testing128636128636---0.012--0.933%
2015-12-03T19:16:29Alexander DubrovinManual testing100000060000006---0.121--4.167%
2016-01-17T18:58:57Alexander DubrovinManual testing20000006500000012---0.518--7.040%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-02-07T00:00:00Phantomasv4_computers21258--0.017--
2016-02-23T16:29:09Mark RoseManual testing258260--0.051--
2009-01-11T11:16:00Sturle Sundehomilius.ifi260261--0.069--
2012-05-03T07:48:00Sebastian HornbostelManual testing261262--0.137--
2013-08-21T07:39:00David CampeauManual testing262263--0.438--
2015-03-10T10:44:00VictordeHollanderManual testing263264--0.876--
2015-03-10T10:44:00VictordeHollanderManual testing264265--1.667--
2015-10-26T11:50:57ramgeisManual testing265266--3.334--
2016-12-30T02:46:28Gordon SpenceManual testing266267--6.668--
2019-04-01T13:34:47TJAOIManual testing267268--13.34--


ECM factoring results:

Old Calculation Method

Total ECM effort:7.552 GHz-days
Estimated T-Level:4.400
DigitsB1CurvesCompleteFacMiss
201100088 / 1000.88041.295%
255000088 / 2800.31472.990%

New Calculation Method

Total ECM effort:7.552 GHz-days
Estimated T-Level:4.400
DigitsB1CompleteFacMiss
20110002.8395.850%
25500000.25777.371%
302500000.01698.433%


ECM Summary

B1B2factorcurvesGHz-days
500005000000877.466
50000500000010.086


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-01T00:00:00Phantomasv4_computers90DD37B3080FF4B50.147
2018-04-21T21:53:09kkmrkkblmbrbkold90DD37B3080FF4B50.147


PRP results:
dateuseridcompidcofactorsres64PRP
2020-07-23T20:11:30pew10980xe_1
14785211052054752087633
A4F4F04D081F92A0no
2020-08-05T15:04:44Chang Chia-Tcheexbpc13
14785211052054752087633
A4F4F04D081F92A0no


P-1 factor-bounds graph:
B1 = 2000000, B2 = 65000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 1000000, B2 = 6000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 100000, B2 = 2050000 (P-1 stage 2)
B1 = 128636 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 30000 (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: 2020-08-05T15:04:44+00:00