OFFSET
1,1
COMMENTS
12th powers of primes. The n-th number with p divisors is equal to the n-th prime raised to power p-1, where p is prime. - Omar E. Pol, May 06 2008
LINKS
R. J. Mathar, Table of n, a(n) for n = 1..1000
FORMULA
From Amiram Eldar, Jan 24 2021: (Start)
Product_{n>=1} (1 + 1/a(n)) = zeta(12)/zeta(24) = 218517792968475/(236364091*Pi^12).
Product_{n>=1} (1 - 1/a(n)) = 1/zeta(12) = 638512875/(691*Pi^12) = 1/A013670. (End)
MATHEMATICA
(Prime@Range@30)^12 (* Vladimir Joseph Stephan Orlovsky, Apr 11 2011 *)
PROG
(Magma) [p^12: p in PrimesUpTo(100)]; // Vincenzo Librandi, Mar 27 2014
(PARI) is(n)=isprimepower(n)==12 \\ Charles R Greathouse IV, Jun 19 2016
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved