is 2 2356069 - 1
has 709248 decimal digits
takes 0.159 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L2DB62B800DFF2ED1double-checked
PRP0E228275008036BBverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26825.298467.6471%30000001000000000.81157.8324%26.110070.1811%2.5340%
PrimeNet2580.016362.0690%110002000000.00213.0501%0.018463.2259%1.1569%
GPU722620.260864.5161%130002200000.00241.8364%0.263165.1678%0.6516%
Difference+6+25.0377+3.1309%+2987000+99780000+0.8092+5.9960%+25.8469+5.0133%+5.0133%

Known prime factors (1 factor, 73.0 bits, 0.00309920% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
235606995720840339068490196232273.0192031367509590519
2031367509590519
2020-10-16120313675095905191,465.510,841,18320,248,310

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-09-21T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.231%
2010-11-04T00:49:00Jocelyn LaroucheManual testing2000020000---0.002--0.260%
2010-12-04T23:34:00Oscar Östlin7501175011---0.007--0.682%
2011-01-23T03:50:00Oscar Östlin900001822500---0.018--2.296%
2014-08-07T10:52:00Jocelyn LaroucheManual testing117242117242---0.011--0.893%
2014-10-22T23:53:00Jocelyn LaroucheManual testing144484144484---0.014--1.004%
2015-08-06T04:19:00mikrMSI3000000100000000---0.812--7.832%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:12Mark RoseManual testing21260--0.065--
2009-01-15T23:19:00Sturle Sundefigaro.ifi260261--0.065--
2012-05-29T18:43:00Sebastian HornbostelManual testing261262--0.130--
2013-01-23T08:26:00dbaughManual testing262263--0.417--
2015-03-06T11:15:00VictordeHollanderManual testing263264--0.833--
2015-03-06T11:15:00VictordeHollanderManual testing264265--1.586--
2015-10-28T09:42:39ramgeisManual testing265266--3.172--
2017-06-13T16:34:53Gordon SpenceManual testing266267--6.343--
2019-04-29T13:20:25TJAOIManual testing267268--12.69--


ECM factoring results:

Old Calculation Method

Total ECM effort:8.790 GHz-days
Estimated T-Level:4.950
DigitsB1CurvesCompleteFacMiss
201100099 / 1000.99036.973%
255000099 / 2800.35470.173%

New Calculation Method

Total ECM effort:8.790 GHz-days
Estimated T-Level:4.950
DigitsB1CompleteFacMiss
20110003.1944.103%
25500000.28974.929%
302500000.01898.238%


ECM Summary

B1B2factorcurvesGHz-days
500005000000938.257
50000500000060.533


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-27T00:00:00JCv4_computers2DB62B800DFF2ED10.159
2018-05-10T11:31:29kkmrkkblmbrbkold2DB62B800DFF2ED10.159


PRP results:
dateuseridcompidcofactorsres64PRP
2020-10-17T10:46:42mrh.orgi
9572084033906849019623
0E228275008036BBno


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 90000, B2 = 1822500 (P-1 stage 2)
B1 = 144484 (P-1 stage 1)
B1 = 117242 (P-1 stage 1)
B1 = 90000 (P-1 stage 1)
B1 = 75011 (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: 2020-10-17T10:46:42+00:00