is 2 2238661 - 1
has 673905 decimal digits
takes 0.147 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L3094691FF4F2B548double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26826.625267.6471%2000000650000000.51797.0395%27.143169.9246%2.2775%
PrimeNet2580.017262.0690%100001800000.00182.8723%0.019063.1584%1.0895%
GPU722620.274464.5161%110001900000.00201.6583%0.276465.1046%0.5884%
Difference+6+26.3508+3.1309%+1989000+64810000+0.5159+5.3813%+26.8667+4.8200%+4.8200%

Known prime factors (1 factor, 77.7 bits, 0.00347267% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
22386612526228397088500413071532477.74156422754429735016
23 × 32 × 59 × 13282192662367
2020-04-07591328219266236721,23768,991128,856

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-27T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.228%
2010-11-08T17:34:00Oscar Östlin7501175011---0.007--0.675%
2011-01-14T08:25:00Oscar Östlin850001636250---0.016--2.193%
2014-06-01T23:28:00Jocelyn LaroucheManual testing113671113671---0.011--0.869%
2014-09-30T23:23:00Jocelyn LaroucheManual testing142342142342---0.014--0.987%
2015-12-02T19:19:04Alexander DubrovinManual testing100000060000006---0.121--4.166%
2016-01-10T16:25:13Alexander DubrovinManual testing20000006500000012---0.518--7.040%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-02-07T00:00:00ANONYMOUSv4_computers21258--0.017--
2016-02-23T16:29:09Mark RoseManual testing258260--0.051--
2009-01-11T03:31:00Sturle Sundegoscha.ifi260261--0.069--
2012-04-27T06:47:00Sebastian HornbostelManual testing261262--0.137--
2013-01-23T08:24:00dbaughManual testing262263--0.439--
2015-03-10T10:44:00VictordeHollanderManual testing263264--0.877--
2015-03-10T10:44:00VictordeHollanderManual testing264265--1.669--
2015-10-25T20:35:12ramgeisManual testing265266--3.338--
2016-12-30T02:46:28Gordon SpenceManual testing266267--6.676--
2019-04-08T13:40:37TJAOIManual testing267268--13.35--


ECM factoring results:

Old Calculation Method

Total ECM effort:5.063 GHz-days
Estimated T-Level:2.950
DigitsB1CurvesCompleteFacMiss
201100059 / 1000.59055.268%
255000059 / 2800.21180.970%

New Calculation Method

Total ECM effort:5.063 GHz-days
Estimated T-Level:2.950
DigitsB1CompleteFacMiss
20110001.90314.909%
25500000.17284.197%
302500000.01198.946%


ECM Summary

B1B2factorcurvesGHz-days
500005000000574.891
50000500000020.172


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-08-16T00:00:00ANONYMOUSv4_computers3094691FF4F2B5480.147
2018-04-21T15:24:43kkmrkkblmbrbkold3094691FF4F2B5480.147


PRP results:
dateuseridcompidcofactorsres64PRP
2020-04-08T09:45:53Yuji HASEGAWAvj20a
252622839708850041307153
CBEB11A3E026B4C8no
2020-04-08T14:57:09oodairacom1
252622839708850041307153
CBEB11A3E026B4C8no


P-1 factor-bounds graph:
B1 = 2000000, B2 = 65000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 1000000, B2 = 6000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 85000, B2 = 1636250 (P-1 stage 2)
B1 = 142342 (P-1 stage 1)
B1 = 113671 (P-1 stage 1)
B1 = 85000 (P-1 stage 1)
B1 = 75011 (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: 2020-04-08T14:57:09+00:00