is 2 2236261 - 1
has 673182 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-LC47065ADB729ACC8double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26826.653867.6471%2000000650000000.51797.0388%27.171769.9243%2.2772%
PrimeNet2580.017262.0690%100001800000.00182.8717%0.019063.1582%1.0893%
GPU722620.274764.5161%110001900000.00201.6579%0.276765.1044%0.5883%
Difference+6+26.3791+3.1309%+1989000+64810000+0.5159+5.3808%+26.8950+4.8199%+4.8199%

Known prime factors (1 factor, 76.4 bits, 0.00341520% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2236261978423060687038608758312376.37321876316330854015
32 × 5 × 181 × 37313 × 71981839
2020-07-22373137198183912,0210.37730.6983

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-27T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.227%
2010-11-07T13:42:00Oscar Östlin7501175011---0.007--0.675%
2011-01-14T02:07:00Oscar Östlin850001615000---0.016--2.185%
2014-06-01T23:28:00Jocelyn LaroucheManual testing113702113702---0.011--0.869%
2014-09-30T23:23:00Jocelyn LaroucheManual testing142404142404---0.014--0.987%
2015-12-01T19:51:22Alexander DubrovinManual testing100000060000006---0.121--4.166%
2016-01-09T17:14:57Alexander DubrovinManual testing20000006500000012---0.518--7.039%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-02-07T00:00:00ANONYMOUSv4_computers21258--0.017--
2016-02-23T16:29:09Mark RoseManual testing258260--0.052--
2009-01-11T01:58:00Sturle Sundeghibu.ifi260261--0.069--
2012-04-21T12:50:00Sebastian HornbostelManual testing261262--0.137--
2013-01-23T08:24:00dbaughManual testing262263--0.439--
2015-03-10T10:44:00VictordeHollanderManual testing263264--0.878--
2015-03-10T10:44:00VictordeHollanderManual testing264265--1.671--
2015-10-25T20:35:12ramgeisManual testing265266--3.342--
2016-12-30T02:46:28Gordon SpenceManual testing266267--6.683--
2019-04-08T13:40:37TJAOIManual testing267268--13.37--


ECM factoring results:

Old Calculation Method

Total ECM effort:7.550 GHz-days
Estimated T-Level:4.400
DigitsB1CurvesCompleteFacMiss
201100088 / 1000.88041.295%
255000088 / 2800.31472.990%

New Calculation Method

Total ECM effort:7.550 GHz-days
Estimated T-Level:4.400
DigitsB1CompleteFacMiss
20110002.8395.850%
25500000.25777.371%
302500000.01698.433%


ECM Summary

B1B2factorcurvesGHz-days
500005000000877.464
50000500000010.086


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-14T00:00:00ANONYMOUSv4_computersC47065ADB729ACC80.147
2018-04-21T07:25:45kkmrkkblmbrbkoldC47065ADB729ACC80.147


PRP results:
dateuseridcompidcofactorsres64PRP
2020-07-21T17:50:11ATHec2-PRPCF
97842306068703860875831
3D2B394C32B99714no
2020-07-22T14:45:06marssystemssystem03
97842306068703860875831
3D2B394C32B99714no


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 = 1615000 (P-1 stage 2)
B1 = 142404 (P-1 stage 1)
B1 = 113702 (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)
102
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104
105
106
107
102
103
104
105
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108
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
258
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260
270
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290
2100
Last modified: 2020-07-22T14:45:06+00:00