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A056824 Numbers of the form p^(2k+1), p prime, k >= 1. 5
8, 27, 32, 125, 128, 243, 343, 512, 1331, 2048, 2187, 2197, 3125, 4913, 6859, 8192, 12167, 16807, 19683, 24389, 29791, 32768, 50653, 68921, 78125, 79507, 103823, 131072, 148877, 161051, 177147, 205379, 226981, 300763, 357911, 371293, 389017 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Charles R Greathouse IV, Table of n, a(n) for n = 1..10000

FORMULA

a(n) ~ n^3 log^3 n. - Charles R Greathouse IV, Jan 15 2015

PROG

(PARI) is(n)=my(e=isprimepower(n)); e>1 && e%2 \\ Charles R Greathouse IV, Jan 15 2015

(PARI) list(lim)=my(v=List(apply(k->k^3, primes([2, sqrtnint(lim\1, 3)]))), t); forstep(e=5, log(lim+.5)\log(2), 2, forprime(p=2, , t=p^e; if(t>lim, break); listput(v, t))); Set(v) \\ Charles R Greathouse IV, Jan 15 2015

CROSSREFS

Cf. A025475, A000961.

Sequence in context: A116002 A097054 A304291 * A297868 A051760 A213519

Adjacent sequences:  A056821 A056822 A056823 * A056825 A056826 A056827

KEYWORD

nonn

AUTHOR

Labos Elemer, Aug 29 2000

EXTENSIONS

Name edited by Altug Alkan, following a suggestion by Felix Fröhlich, May 17 2018

STATUS

approved

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Last modified October 15 11:01 EDT 2019. Contains 328026 sequences. (Running on oeis4.)