A030635 Numbers with 17 divisors.

65536, 43046721, 152587890625, 33232930569601, 45949729863572161, 665416609183179841, 48661191875666868481, 288441413567621167681, 6132610415680998648961, 250246473680347348787521, 727423121747185263828481, 12337511914217166362274241

Offset: 1

Author

Jeff Burch

Keywords

• nonn
• easy

Comments

16th 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

Crossrefs

Cf. A000040, A030632, A030633, A030634.

Programs

Mathematica

Prime[Range[16]]^16 (* Vladimir Joseph Stephan Orlovsky, May 05 2011 *)

PARI

is(n)=isprimepower(n)==16 \\ Charles R Greathouse IV, Jun 19 2016

Formula

a(n)=A000040(n)^16. - Omar E. Pol, May 06 2008

a(n) = A179645(n)^2. - R. J. Mathar, May 26 2017