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A034699 Largest prime power factor of n. 31
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; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

n divides lcm(1, 2, ..., a(n)).

LINKS

T. D. Noe, Table of n, a(n) for n=1..1000

FORMULA

If n = p_1^e_1 *...* p_k^e_k, p_1<...<p_k primes, then a(n) = max { p_i^e_i }.

MATHEMATICA

f[n_] := If[n == 1, 1, Max[ #[[1]]^#[[2]] & /@ FactorInteger@n]]; Array[f, 79] (* Robert G. Wilson v Sep 02 2006 *)

PROG

(Haskell)

a034699 n = head [x | x <- reverse $ a027750_row n, a010055 x == 1]

-- Reinhard Zumkeller, Feb 14 2012

CROSSREFS

Cf. A020639, A006530, A034684, A028233, A034699, A053585.

See also A051283, A052128.

Cf. A038610.

Cf. A027750, A010055.

Sequence in context: A067620 A053585 A098988 * A111615 A053627 A125746

Adjacent sequences:  A034696 A034697 A034698 * A034700 A034701 A034702

KEYWORD

nonn,easy,nice,changed

AUTHOR

David W. Wilson (davidwwilson(AT)comcast.net)

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Last modified February 17 05:54 EST 2012. Contains 205985 sequences.