A143719 - OEIS

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A143719

Let n = Product_{p} p ^ e_p be the prime factorization of n and let M = max{e_p}. Then n is in the sequence iff for all primes q in the range 2 <= q <= M we have e_q >= Sum_{r} floor( log_q (e_r + 1) ).

1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 13, 14, 15, 17, 19, 20, 21, 22, 23, 24, 26, 28, 29, 30, 31, 33, 34, 35, 36, 37, 38, 39, 41, 42, 43, 44, 46, 47, 48, 51, 52, 53, 55, 57, 58, 59, 61, 62, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 76, 77, 78, 79, 82, 83, 85, 86, 87, 89, 91, 92, 93, 94, 95, 97, 100

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OFFSET

1,2

COMMENTS

A variant of A141586, which is a subsequence.

LINKS

Table of n, a(n) for n=1..75.

CROSSREFS

Cf. A141586, A135130, A143720.

Sequence in context: A350076 A035060 A231272 * A078779 A351958 A047593

Adjacent sequences: A143716 A143717 A143718 * A143720 A143721 A143722

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Nov 29 2008

STATUS

approved