is 2 2223853 - 1
has 669447 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-LED21DEAB4A0C8433double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26826.802567.6471%2000000650000000.51797.0347%27.320469.9230%2.2759%
PrimeNet2580.017362.0690%100001800000.00182.8688%0.019163.1571%1.0882%
GPU722620.276364.5161%110001800000.00191.6305%0.278265.0947%0.5785%
Difference+6+26.5263+3.1309%+1989000+64820000+0.5160+5.4042%+27.0423+4.8283%+4.8283%

Known prime factors (1 factor, 68.9 bits, 0.00309716% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
22238535417706380782329414712168.876121809004029995
5 × 192 × 31 × 2176910089
2020-07-01361217691008950.39711.30721.119

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-27T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.227%
2010-10-21T04:11:00Oscar Östlin7501175011---0.007--0.675%
2011-01-12T21:12:00Oscar Östlin850001593750---0.016--2.176%
2014-05-26T23:57:00Jocelyn LaroucheManual testing113862113862---0.011--0.869%
2014-09-29T22:04:00Jocelyn LaroucheManual testing142724142724---0.014--0.987%
2015-05-02T13:30:00Squeeky_SquirrelP4_26001600004600000---0.038--3.137%
2015-11-21T11:26:55Alexander DubrovinManual testing100000050000006---0.116--3.983%
2015-12-22T07:19:43Alexander DubrovinManual testing20000006500000012---0.518--7.035%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-02-07T00:00:00ANONYMOUSv4_computers21258--0.017--
2016-02-23T16:29:09Mark RoseManual testing258260--0.052--
2009-01-11T14:17:00Sturle Sundebuxtehude.ifi260261--0.069--
2012-04-19T07:48:00Sebastian HornbostelManual testing261262--0.138--
2013-01-23T08:24:00dbaughManual testing262263--0.441--
2015-03-06T11:15:00VictordeHollanderManual testing263264--0.883--
2015-03-06T11:15:00VictordeHollanderManual testing264265--1.680--
2015-10-25T20:35:08ramgeisManual testing265266--3.360--
2016-12-24T00:00:58Gordon SpenceManual testing266267--6.721--
2019-04-22T13:11:38TJAOIManual testing267268--13.44--


ECM factoring results:

Old Calculation Method

Total ECM effort:6.944 GHz-days
Estimated T-Level:4.050
DigitsB1CurvesCompleteFacMiss
201100081 / 1000.81044.305%
255000081 / 2800.28974.841%

New Calculation Method

Total ECM effort:6.944 GHz-days
Estimated T-Level:4.050
DigitsB1CompleteFacMiss
20110002.6137.332%
25500000.23678.966%
302500000.01598.556%


ECM Summary

B1B2factorcurvesGHz-days
500005000000796.773
50000500000020.171


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-14T00:00:00ANONYMOUSv4_computersED21DEAB4A0C84330.146
2018-04-19T11:25:09kkmrkkblmbrbkoldED21DEAB4A0C84330.146


PRP results:
dateuseridcompidcofactorsres64PRP
2020-07-01T08:24:08CrypticClueManual testing
541770638078232941471
DF46F003D643EF41no
2020-07-03T19:44:47Team_InspectorPurple
541770638078232941471
DF46F003D643EF41no


P-1 factor-bounds graph:
B1 = 2000000, B2 = 65000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 1000000, B2 = 5000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 160000, B2 = 4600000 (P-1 stage 2)
B1 = 85000, B2 = 1593750 (P-1 stage 2)
B1 = 160000 (P-1 stage 1)
B1 = 142724 (P-1 stage 1)
B1 = 113862 (P-1 stage 1)
B1 = 85000 (P-1 stage 1)
B1 = 75011 (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: 2020-07-03T19:44:47+00:00