login
Numbers with 17 divisors.
28

%I #28 May 26 2017 06:20:58

%S 65536,43046721,152587890625,33232930569601,45949729863572161,

%T 665416609183179841,48661191875666868481,288441413567621167681,

%U 6132610415680998648961,250246473680347348787521,727423121747185263828481,12337511914217166362274241

%N Numbers with 17 divisors.

%C 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

%H R. J. Mathar, <a href="/A030635/b030635.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n)=A000040(n)^16. - _Omar E. Pol_, May 06 2008

%F a(n) = A179645(n)^2. - _R. J. Mathar_, May 26 2017

%t Prime[Range[16]]^16 (* _Vladimir Joseph Stephan Orlovsky_, May 05 2011 *)

%o (PARI) is(n)=isprimepower(n)==16 \\ _Charles R Greathouse IV_, Jun 19 2016

%Y Cf. A000040, A030632, A030633, A030634.

%K nonn,easy

%O 1,1

%A _Jeff Burch_