A088382 Numbers not exceeding the 4th power of their smallest prime-factor.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 89, 91, 95, 97, 101, 103, 107, 109, 113, 115, 119, 121, 125, 127, 131, 133

Offset

1,2

Comments

a(n) <= A020639(a(n))^4 = A088379(a(n)); complement of A088383;

a(n) < A088383(k) for n <= 67, a(n) > A088383(k) for n > 67.

Links

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

Mathematica

Select[Range[200], #<=FactorInteger[#][[1, 1]]^4&] (* Harvey P. Dale, Jan 25 2015 *)

Prog

(Haskell)
a088382 n = a088382_list !! (n-1)
a088382_list = [x | x <- [1..], x <= a020639 x ^ 4]
-- Reinhard Zumkeller, Feb 06 2015

Crossrefs

Cf. A088380, A000430, A020639, A088379, A088383.

Sequence in context: A098451 A164710 A098452 * A247759 A247752 A291149

Adjacent sequences: A088379 A088380 A088381 * A088383 A088384 A088385

Keyword

nonn

Author

Reinhard Zumkeller, Sep 28 2003

Status

approved