A088380 Numbers not exceeding the cube of their smallest prime-factor.

1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 35, 37, 41, 43, 47, 49, 53, 55, 59, 61, 65, 67, 71, 73, 77, 79, 83, 85, 89, 91, 95, 97, 101, 103, 107, 109, 113, 115, 119, 121, 125, 127, 131, 133, 137, 139, 143, 149, 151, 157, 161, 163, 167, 169

Offset

1,2

Comments

a(n) <= A020639(a(n))^3 = A088378(a(n)); complement of A088381;

a(n) < A088381(k) for n <= 28, a(n) > A088381(k) for n > 28.

Links

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

Mathematica

Select[Range[200], #<=FactorInteger[#][[1, 1]]^3&] (* Harvey P. Dale, Apr 28 2022 *)

Prog

(Haskell)
a088380 n = a088382_list !! (n-1)
a088380_list = [x | x <- [1..], x <= a020639 x ^ 3]
-- Reinhard Zumkeller, Feb 06 2015

Crossrefs

Cf. A000430, A088382, A020639, A088378, A088381.

Sequence in context: A322341 A080676 A033061 * A122620 A218470 A008727

Adjacent sequences: A088377 A088378 A088379 * A088381 A088382 A088383

Keyword

nonn

Author

Reinhard Zumkeller, Sep 28 2003

Status

approved