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A115975 Numbers of the form p^k, where p is a prime and k is a Fibonacci number. 2
1, 2, 3, 4, 5, 7, 8, 9, 11, 13, 17, 19, 23, 25, 27, 29, 31, 32, 37, 41, 43, 47, 49, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 121, 125, 127, 131, 137, 139, 149, 151, 157, 163, 167, 169, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Subsequence of A000961 (prime powers).
LINKS
MATHEMATICA
With[{nn=60}, Take[Join[{1}, Union[First[#]^Last[#]&/@Union[Flatten[ Outer[List, Prime[Range[nn]], Fibonacci[Range[nn/6]]], 1]]]], 70]] (* Harvey P. Dale, Jun 05 2012 *)
PROG
(PARI) {m=240; v=Set([]); forprime(p=2, m, i=0; while((s=p^fibonacci(i))<m, v=setunion(v, Set(s)); i++)); v=vecsort(eval(v)); for(j=1, #v, print1(v[j], ", "))}
CROSSREFS
Cf. A000961, A117245 (partial sums).
Sequence in context: A322546 A283262 A334393 * A277187 A339841 A087797
KEYWORD
easy,nonn
AUTHOR
Giovanni Teofilatto, Mar 15 2006; corrected Apr 23 2006
EXTENSIONS
Edited and corrected by Klaus Brockhaus, Apr 25 2006
STATUS
approved

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Last modified March 29 00:26 EDT 2024. Contains 371264 sequences. (Running on oeis4.)