is 2 2262209 - 1
has 680993 decimal digits
takes 0.149 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LD328A7F70E39CD23double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26826.348167.6471%1000000200000000.19405.3783%26.542169.3871%1.7400%
PrimeNet2580.017062.0690%100001900000.00192.9191%0.018963.1762%1.1072%
GPU722620.271664.5161%120001900000.00211.7066%0.273665.1217%0.6056%
Difference+6+26.0765+3.1309%+988000+19810000+0.1920+3.6717%+26.2685+4.2654%+4.2654%

Known prime factors (1 factor, 78.2 bits, 0.00345687% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
22622093475824469516959135869992478.20276823681399838811
23 × 3340160060862557
2020-02-2423334016006086255742,70517,349,62632,404,271

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2010-11-07T01:16:00Jocelyn LaroucheManual testing1500015000---0.001--0.200%
2010-11-12T11:44:00Jocelyn LaroucheManual testing3000030000---0.003--0.357%
2011-01-04T15:35:00markrtiny1000002075000---0.020--2.405%
2014-09-02T00:10:00Jocelyn LaroucheManual testing128372128372---0.012--0.933%
2016-03-27T11:19:50Jocelyn LaroucheManual testing34214434214406---0.049--3.291%
2019-06-28T06:50:26BigBrotherWinston10000002000000012---0.194--5.378%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:10Mark RoseManual testing21260--0.068--
2009-01-11T01:39:00Sturle Sundegooch.ifi260261--0.068--
2012-05-05T14:48:00Sebastian HornbostelManual testing261262--0.136--
2013-12-04T10:24:00LaurVManual testing262263--0.434--
2015-03-10T10:44:00VictordeHollanderManual testing263264--0.868--
2015-03-10T10:44:00VictordeHollanderManual testing264265--1.652--
2015-10-30T09:42:37ramgeisManual testing265266--3.303--
2017-01-16T00:47:35Gordon SpenceManual testing266267--6.607--
2019-05-06T12:23:31TJAOIManual testing267268--13.21--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.437 GHz-days
Estimated T-Level:2.000
DigitsB1CurvesCompleteFacMiss
201100040 / 1000.40066.897%
255000040 / 2800.14386.666%

New Calculation Method

Total ECM effort:3.437 GHz-days
Estimated T-Level:2.000
DigitsB1CompleteFacMiss
20110001.29027.518%
25500000.11788.993%
302500000.00799.284%


ECM Summary

B1B2factorcurvesGHz-days
500005000000393.351
50000500000010.086


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-26T00:00:00ANONYMOUSv4_computersD328A7F70E39CD230.149
1999-05-16T00:00:00ANONYMOUSv4_computersD328A7F70E39CD230.149
2018-04-24T14:18:00kkmrkkblmbrbkoldD328A7F70E39CD230.149


PRP results:
dateuseridcompidcofactorsres64PRP
2020-02-26T08:06:47Christoph ZengerManual testing
347582446951695913586999
2846901703437563no
2020-02-27T00:08:16Jinyuan WangManual testing
347582446951695913586999
2846901703437563no
2020-02-28T10:03:09Luigi Morelli9800X
347582446951695913586999
2846901703437563no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 20000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 342144, B2 = 3421440 (P-1 stage 2)
B1 = 342144 (P-1 stage 1)
B1 = 100000, B2 = 2075000 (P-1 stage 2)
B1 = 128372 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2020-02-28T10:03:09+00:00