is 2 2152321 - 1
has 647914 decimal digits
takes 0.142 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LECB6B81F4D0C22C6double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26827.693367.6471%25000001250000000.87467.9178%28.567970.2087%2.5616%
PrimeNet2580.017862.0690%90001700000.00172.7343%0.019563.1061%1.0371%
GPU722620.285464.5161%100001600000.00171.5181%0.287265.0548%0.5387%
Difference+6+27.4079+3.1309%+2490000+124840000+0.8729+6.3996%+28.2808+5.1539%+5.1539%

Known prime factors (1 factor, 88.6 bits, 0.00411805% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
21523214801530703292658817202222572788.634111543090070966617368
23 × 13942886258870827171
2020-07-0881394288625887082717149,978,6347.242e+101.353e+11

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-07T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.225%
2010-11-03T21:25:00Jocelyn LaroucheManual testing2000020000---0.002--0.254%
2010-12-30T22:20:00Jocelyn LaroucheManual testing3000030000---0.003--0.353%
2011-01-15T02:57:00Jocelyn LaroucheManual testing5000050000---0.005--0.513%
2011-01-25T07:42:00markrtiny1200002340000---0.023--2.545%
2014-10-07T22:12:00Jocelyn LaroucheManual testing149821149821---0.014--1.008%
2016-03-20T01:38:12Jocelyn LaroucheManual testing269677269677---0.026--1.367%
2016-04-07T10:51:58Jocelyn LaroucheManual testing360000648000012---0.066--3.801%
2017-12-12T05:45:14mikrMSI250000012500000012---0.875--7.918%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-29T00:00:00ANONYMOUSv4_computers21258--0.018--
2016-02-23T16:29:07Mark RoseManual testing258260--0.054--
2009-01-04T11:31:00Sturle Sundegehry.ifi260261--0.071--
2009-01-06T04:30:00Sturle Sundegopher.ifi261262--0.143--
2013-09-08T17:50:00ramgeisManual testing262263--0.456--
2015-03-22T08:28:00VictordeHollanderManual testing263264--0.912--
2015-03-22T08:28:00VictordeHollanderManual testing264265--1.736--
2015-12-30T18:01:33ramgeisManual testing265266--3.472--
2016-11-04T03:09:02Gordon SpenceManual testing266267--6.944--
2019-05-20T13:24:30TJAOIManual testing267268--13.89--


ECM factoring results:

Old Calculation Method

Total ECM effort:8.127 GHz-days
Estimated T-Level:21.661
DigitsB1CurvesCompleteFacMiss
2011000103 / 1001.03035.516%
255000093 / 2800.33271.696%

New Calculation Method

Total ECM effort:8.127 GHz-days
Estimated T-Level:21.661
DigitsB1CompleteFacMiss
20110003.0024.968%
25500000.27176.250%
302500000.01798.344%


ECM Summary

B1B2factorcurvesGHz-days
110001100000100.188
500005000000907.683
50000500000030.256


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-01T00:00:00ANONYMOUSv4_computersECB6B81F4D0C22C60.142
2018-04-09T09:30:17kkmrkkblmbrbkoldECB6B81F4D0C22C60.142


PRP results:
dateuseridcompidcofactorsres64PRP
2020-07-09T02:16:05CrypticCluecruncher
480153070329265881720222257
C31D71792A9D6DD8no
2020-07-09T23:38:04marssystemssystem03
480153070329265881720222257
C31D71792A9D6DD8no


P-1 factor-bounds graph:
B1 = 2500000, B2 = 125000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 360000, B2 = 6480000 (P-1 stage 2)
B1 = 360000 (P-1 stage 1)
B1 = 269677 (P-1 stage 1)
B1 = 120000, B2 = 2340000 (P-1 stage 2)
B1 = 149821 (P-1 stage 1)
B1 = 120000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 20000 (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: 2020-07-09T23:38:04+00:00