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A137492 Numbers with 29 divisors. 20
268435456, 22876792454961, 37252902984619140625, 459986536544739960976801, 144209936106499234037676064081, 15502932802662396215269535105521, 28351092476867700887730107366063041 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Maple implementation: see A030513.

28th 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

T. D. Noe, Table of n, a(n) for n = 1..1000

OEIS Wiki, Index entries for number of divisors

FORMULA

A000005(a(n))=29.

a(n)=A000040(n)^(29-1)=A000040(n)^(28). - Omar E. Pol, May 06 2008

MATHEMATICA

Prime[Range[13]]^28 (* Vladimir Joseph Stephan Orlovsky, May 05 2011 *)

PROG

(PARI) a(n)=prime(n)^28 \\ Charles R Greathouse IV, Jun 19 2016

CROSSREFS

Cf. A030513-A030516, A030626, A030627, A030634-A030638, A005179, A003680, A096932, A061286, A061283.

Cf. A000040.

Sequence in context: A194936 A195253 A122969 * A105014 A233622 A018881

Adjacent sequences:  A137489 A137490 A137491 * A137493 A137494 A137495

KEYWORD

nonn,easy

AUTHOR

R. J. Mathar, Apr 22 2008

STATUS

approved

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Last modified October 17 20:05 EDT 2019. Contains 328129 sequences. (Running on oeis4.)