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Search: id:A136023
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| A136023 |
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The largest prime factor among all composites <= 10^n. |
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+0 2
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| 5, 47, 499, 4999, 49999, 499979, 4999999, 49999991, 499999993, 4999999937, 49999999967, 499999999979, 4999999999937, 49999999999981, 499999999999999, 4999999999999997, 49999999999999993, 499999999999999931, 4999999999999999963, 49999999999999999951
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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This is the largest single divisor contributing to A136021(n).
If 4 concatenated with n-1 nines is prime, it will be the largest factor. This candidate does not work for n=6 because 499999 is not prime.
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EXAMPLE
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a(3)=499 because it is the largest prime factor of all k<=10^3; the largest k in that interval with this factor is k=2*499 = 998.
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CROSSREFS
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Cf. A136021, A052369.
Sequence in context: A049281 A124267 A124450 this_sequence A074192 A058806 A006902
Adjacent sequences: A136020 A136021 A136022 this_sequence A136024 A136025 A136026
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KEYWORD
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nonn
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AUTHOR
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Enoch Haga (Enokh(AT)comcast.net), Dec 12 2007
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EXTENSIONS
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Edited and more terms added by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 17 2009
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