is 2 2793223 - 1
has 840844 decimal digits
takes 0.216 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L3502A2C36F1982B6double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26821.339167.6471%3000000900000000.86687.8348%22.205970.1818%2.5348%
PrimeNet2590.027562.7119%120002200000.00262.8605%0.030163.7785%1.0666%
GPU722630.571465.0794%150002600000.00321.7889%0.574665.7041%0.6247%
Difference+5+20.7677+2.5677%+2985000+89740000+0.8636+6.0459%+21.6314+4.4778%+4.4778%

Known prime factors (1 factor, 74.0 bits, 0.00264800% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2793223184301400364978630980972373.9643299081390296776
23 × 32 × 7 × 17 × 41 × 9391386527
2020-08-144193913865271,108.257.303107.03

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-28T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.243%
2010-11-14T17:34:00Jocelyn LaroucheManual testing1500015000---0.002--0.211%
2010-11-22T17:13:00markrtiny1000002075000---0.023--2.484%
2014-11-03T03:43:00Jocelyn LaroucheManual testing122979122979---0.014--0.946%
2016-05-07T02:42:11Jocelyn LaroucheManual testing20000036000006---0.043--3.184%
2017-07-30T01:18:50Jocelyn Larouchelow 4M40000040000006---0.067--3.576%
2019-12-20T01:00:18BigBrotherWinston30000009000000012---0.867--7.835%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:21Mark RoseManual testing21260--0.055--
2009-02-14T02:49:00Sturle Sundegofy.ifi260261--0.055--
2012-03-07T04:27:00Grant McCrackenthumper261262--0.110--
2013-01-10T10:21:00dbaughManual testing262263--0.351--
2015-04-21T09:20:00VictordeHollanderManual testing263264--0.703--
2015-04-21T09:20:00VictordeHollanderManual testing264265--1.338--
2016-02-09T10:41:51ramgeisManual testing265266--2.675--
2017-10-19T22:32:33Gordon SpenceManual testing266267--5.351--
2019-02-26T09:24:38chuenkitManual testing267268--10.70--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.437 GHz-days
Estimated T-Level:1.650
DigitsB1CurvesCompleteFacMiss
201100033 / 1000.33071.773%
255000033 / 2800.11888.864%

New Calculation Method

Total ECM effort:3.437 GHz-days
Estimated T-Level:1.650
DigitsB1CompleteFacMiss
20110001.06534.489%
25500000.09690.827%
302500000.00699.409%


ECM Summary

B1B2factorcurvesGHz-days
500005000000303.124
50000500000030.312


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-26T00:00:00Alex Kruppav4_computers3502A2C36F1982B60.216
2018-08-29T21:19:11kkmrkkblmbrbkold3502A2C36F1982B60.216


PRP results:
dateuseridcompidcofactorsres64PRP
2020-08-14T17:34:18Sébastien BrouckePortable_Seb
18430140036497863098097
34F6C2D968C28576no
2020-08-15T21:00:51kutenshadar
18430140036497863098097
34F6C2D968C28576no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 90000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 400000, B2 = 4000000 (P-1 stage 2)
B1 = 400000 (P-1 stage 1)
B1 = 200000, B2 = 3600000 (P-1 stage 2)
B1 = 100000, B2 = 2075000 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 122979 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 15000 (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: 2020-08-15T21:00:51+00:00