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A030635 Numbers with 17 divisors. 22
65536, 43046721, 152587890625, 33232930569601, 45949729863572161, 665416609183179841, 48661191875666868481, 288441413567621167681, 6132610415680998648961, 250246473680347348787521, 727423121747185263828481, 12337511914217166362274241 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

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

FORMULA

a(n)=A000040(n)^(17-1)=A000040(n)^(16). - Omar E. Pol, May 06 2008

MATHEMATICA

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

PROG

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

CROSSREFS

Cf. A000040, A030632, A030633, A030634.

Sequence in context: A211199 A010804 A276108 * A236224 A016964 A017036

Adjacent sequences:  A030632 A030633 A030634 * A030636 A030637 A030638

KEYWORD

nonn,easy

AUTHOR

Jeff Burch

STATUS

approved

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Last modified March 27 13:47 EDT 2017. Contains 284176 sequences.