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A030637 Numbers with 19 divisors. 24

%I #26 Jun 19 2016 02:07:10

%S 262144,387420489,3814697265625,1628413597910449,5559917313492231481,

%T 112455406951957393129,14063084452067724991009,

%U 104127350297911241532841,3244150909895248285300369,210457284365172120330305161,699053619999045038539170241

%N Numbers with 19 divisors.

%C 18th 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="/A030637/b030637.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n)=A000040(n)^(19-1)=A000040(n)^(18). - _Omar E. Pol_, May 06 2008

%t Prime[Range[18]]^18 (* _Vladimir Joseph Stephan Orlovsky_, May 05 2011 *)

%o (PARI) is(n)=isprimepower(n)==18 \\ _Charles R Greathouse IV_, Jun 19 2016

%Y Cf. A000040, A030634, A030635, A030636.

%K nonn,easy

%O 1,1

%A _Jeff Burch_

%E a(6) corrected, Mar 26 2007

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Last modified March 28 05:39 EDT 2024. Contains 371235 sequences. (Running on oeis4.)