is 2 2213243 - 1
has 666253 decimal digits
takes 0.146 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L85DD22CD2B1C1FABdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26826.931067.6471%50000002000000001.48968.9620%28.420670.5465%2.8995%
PrimeNet2580.017362.0690%100001800000.00182.8662%0.019263.1562%1.0872%
GPU722620.277664.5161%110001700000.00191.6019%0.279565.0846%0.5684%
Difference+6+26.6534+3.1309%+4989000+199830000+1.4877+7.3600%+28.1411+5.4620%+5.4620%

Known prime factors (1 factor, 70.6 bits, 0.00319202% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
221324318487972428663284854812270.647417667025913180
22 × 3 × 5 × 103 × 67583661151
2020-05-0610367583661151110.77351.05655.66

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-16T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.227%
2010-10-09T21:33:00Oscar Östlin35000551250---0.006--1.320%
2011-01-16T01:59:00Jocelyn LaroucheManual testing5000050000---0.005--0.516%
2012-01-07T06:10:00Squeeky_SquirrelP4_26001450003190000---0.030--2.842%
2015-11-14T20:39:28Alexander DubrovinManual testing100000050000006---0.116--3.981%
2015-11-14T20:39:29Alexander DubrovinManual testing15000001000000012---0.187--4.815%
2015-12-11T13:23:50Alexander DubrovinManual testing20000006500000012---0.518--7.031%
2020-01-14T00:51:54mikrMSI500000020000000012---1.490--8.962%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-02-07T00:00:00S00030v4_computers21258--0.017--
2016-02-23T16:29:08Mark RoseManual testing258260--0.052--
2009-01-08T00:53:00Sturle Sundehindemith.ifi260261--0.069--
2012-04-17T18:22:00Sebastian HornbostelManual testing261262--0.139--
2013-01-23T08:20:00dbaughManual testing262263--0.444--
2015-03-06T11:15:00VictordeHollanderManual testing263264--0.887--
2015-03-06T11:15:00VictordeHollanderManual testing264265--1.688--
2015-10-22T10:17:21ramgeisManual testing265266--3.376--
2017-02-13T09:31:35Smok_bmvManual testing266267--6.753--
2019-04-29T13:20:32TJAOIManual testing267268--13.51--


ECM factoring results:

Old Calculation Method

Total ECM effort:6.169 GHz-days
Estimated T-Level:3.600
DigitsB1CurvesCompleteFacMiss
201100072 / 1000.72048.499%
255000072 / 2800.25777.290%

New Calculation Method

Total ECM effort:6.169 GHz-days
Estimated T-Level:3.600
DigitsB1CompleteFacMiss
20110002.3239.802%
25500000.21081.066%
302500000.01398.716%


ECM Summary

B1B2factorcurvesGHz-days
500005000000695.912
50000500000030.257


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-07T00:00:00S00030v4_computers85DD22CD2B1C1FAB0.146
2018-04-18T00:33:15kkmrkkblmbrbkold85DD22CD2B1C1FAB0.146


PRP results:
dateuseridcompidcofactorsres64PRP
2020-05-06T12:52:35CrypticCluecruncher
1848797242866328485481
3303E49BF9A7F613no
2020-05-08T15:39:14arnaudstm-11-010
1848797242866328485481
3303E49BF9A7F613no


P-1 factor-bounds graph:
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 2000000, B2 = 65000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 2000000 (P-1 stage 1)
B1 = 1500000, B2 = 10000000 (P-1 stage 2)
B1 = 1500000 (P-1 stage 1)
B1 = 1000000, B2 = 5000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 145000, B2 = 3190000 (P-1 stage 2)
B1 = 145000 (P-1 stage 1)
B1 = 35000, B2 = 551250 (P-1 stage 2)
B1 = 50000 (P-1 stage 1)
B1 = 35000 (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: 2020-05-08T15:39:14+00:00