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A373868
Integers that are not perfect fifth powers.
1
2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70
OFFSET
1,1
COMMENTS
Complement of A000584.
LINKS
A. J. dos Reis and D. M. Silberger, Generating nonpowers by formula, Math. Mag., 63 (1990), 53-55.
MATHEMATICA
Complement[Range[#^5], Range[#]^5] & [3] (* Paolo Xausa, Jul 03 2024 *)
PROG
(Python)
from sympy import integer_nthroot
def A373868(n): return n+(k:=integer_nthroot(n, 5)[0])+(n>=(k+1)**5-k)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Chai Wah Wu, Jun 19 2024
STATUS
approved