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Search: id:A034699
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| A034699 |
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Largest prime power factor of n. |
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+0
28
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| 1, 2, 3, 4, 5, 3, 7, 8, 9, 5, 11, 4, 13, 7, 5, 16, 17, 9, 19, 5, 7, 11, 23, 8, 25, 13, 27, 7, 29, 5, 31, 32, 11, 17, 7, 9, 37, 19, 13, 8, 41, 7, 43, 11, 9, 23, 47, 16, 49, 25, 17, 13, 53, 27, 11, 8, 19, 29, 59, 5, 61, 31, 9, 64, 13, 11, 67, 17, 23, 7, 71, 9, 73, 37, 25, 19, 11, 13, 79
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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n divides lcm(1, 2, ..., a(n)).
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..1000
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FORMULA
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If n = p_1^e_1 *...* p_k^e_k, p_1<...<p_k primes, then a(n) = max { p_i^e_i }.
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MATHEMATICA
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f[n_] := If[n == 1, 1, Max[ #[[1]]^#[[2]] & /@ FactorInteger@n]]; Array[f, 79] (* Robert G. Wilson v Sep 02 2006 *)
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CROSSREFS
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Cf. A020639, A006530, A034684, A028233, A034699, A053585.
See also A051283, A052128.
Cf. A038610.
Sequence in context: A067620 A053585 A098988 this_sequence A111615 A053627 A125746
Adjacent sequences: A034696 A034697 A034698 this_sequence A034700 A034701 A034702
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KEYWORD
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nonn,easy,nice
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AUTHOR
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David W. Wilson (davidwwilson(AT)comcast.net)
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