A024625 - OEIS

A024625

a(n) is the position of cube of the n-th prime among the powers of primes (A000961).

7, 16, 43, 87, 245, 361, 699, 930, 1514, 2777, 3303, 5280, 6946, 7892, 10027, 13871, 18550, 20323, 26219, 30762, 33157, 41178, 47156, 57135, 72447, 80965, 85429, 94953, 99932, 110400, 152587, 166273, 188247, 196005, 237795, 246807, 275002, 305246

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

LINKS

Amiram Eldar, Table of n, a(n) for n = 1..650

FORMULA

A000961(a(n)) = A030078(n). - Amiram Eldar, Jun 20 2025

MATHEMATICA

Position[Select[Range[10^6], # == 1 || PrimePowerQ[#] &], _?(PrimeQ[Surd[#, 3]] &)] // Flatten (* Amiram Eldar, Jun 20 2025 *)

PROG

(PARI) list(lim) = {my(c = 1, e); for(k = 1, lim, e = isprimepower(k); if(e, c++; if(e == 3, print1(c, ", ")))); } \\ Amiram Eldar, Jun 20 2025

CROSSREFS

Cf. A000961, A024624, A030078.

Sequence in context: A036834 A020941 A318750 * A055553 A066009 A304013

Adjacent sequences: A024622 A024623 A024624 * A024626 A024627 A024628

KEYWORD

nonn

AUTHOR

Clark Kimberling

STATUS

approved