is 2 2266679 - 1
has 682339 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-L1B71F1C2577F57F6double-checked
PRP2AF352857C243565verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26826.296167.6471%3000000900000000.73797.6734%27.034070.1296%2.4826%
PrimeNet2580.016962.0690%100001900000.00192.9202%0.018863.1766%1.1076%
GPU722620.271064.5161%120001900000.00211.7072%0.273165.1219%0.6058%
Difference+6+26.0251+3.1309%+2988000+89810000+0.7358+5.9662%+26.7609+5.0077%+5.0077%

Known prime factors (1 factor, 71.7 bits, 0.00316177% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
226667937491992332297394370472271.667827024742636637
827024742636637
2020-08-151827024742636637292.074,295,7738,023,308

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2010-11-06T12:26:00Jocelyn LaroucheManual testing1500015000---0.001--0.200%
2010-11-12T22:13:00Jocelyn LaroucheManual testing3000030000---0.003--0.357%
2011-01-03T15:39:00markrtiny1000002100000---0.020--2.413%
2014-09-02T00:10:00Jocelyn LaroucheManual testing128316128316---0.012--0.933%
2016-04-02T11:41:48Jocelyn LaroucheManual testing311040311040---0.030--1.477%
2016-04-02T11:41:51Jocelyn LaroucheManual testing37324837324806---0.053--3.396%
2016-04-10T12:11:16Jocelyn LaroucheManual testing4478971625166612---0.125--4.726%
2019-11-23T18:23:43BigBrotherWinston30000009000000012---0.738--7.673%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-02-14T00:00:00ANONYMOUSv4_computers21258--0.017--
2016-02-23T16:29:10Mark RoseManual testing258260--0.051--
2009-01-11T00:26:00Sturle Sundeinteravia.ifi260261--0.068--
2012-05-05T19:48:00Sebastian HornbostelManual testing261262--0.136--
2013-12-06T02:46:00Jerry HallettManual testing262263--0.433--
2015-03-10T10:45:00VictordeHollanderManual testing263264--0.866--
2015-03-10T10:45:00VictordeHollanderManual testing264265--1.648--
2015-10-31T16:44:10ramgeisManual testing265266--3.297--
2017-01-16T00:47:36Gordon SpenceManual testing266267--6.594--
2019-05-06T12:23:30TJAOIManual testing267268--13.19--


ECM factoring results:

Old Calculation Method

Total ECM effort:8.251 GHz-days
Estimated T-Level:4.800
DigitsB1CurvesCompleteFacMiss
201100096 / 1000.96038.105%
255000096 / 2800.34370.930%

New Calculation Method

Total ECM effort:8.251 GHz-days
Estimated T-Level:4.800
DigitsB1CompleteFacMiss
20110003.0974.519%
25500000.28075.587%
302500000.01798.291%


ECM Summary

B1B2factorcurvesGHz-days
500005000000937.993
50000500000030.258


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-02T00:00:00ANONYMOUSv4_computers1B71F1C2577F57F60.149
2018-04-25T10:03:47kkmrkkblmbrbkold1B71F1C2577F57F60.149


PRP results:
dateuseridcompidcofactorsres64PRP
2020-08-15T22:02:07Xyzzy3950X
3749199233229739437047
2AF352857C243565no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 90000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 447897, B2 = 16251666 (P-1 stage 2)
B1 = 373248, B2 = 3732480 (P-1 stage 2)
B1 = 447897 (P-1 stage 1)
B1 = 373248 (P-1 stage 1)
B1 = 311040 (P-1 stage 1)
B1 = 100000, B2 = 2100000 (P-1 stage 2)
B1 = 128316 (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: 2020-08-15T22:02:07+00:00