A280350 Numbers with 97 divisors.

79228162514264337593543950336, 6362685441135942358474828762538534230890216321, 12621774483536188886587657044524579674771302961744368076324462890625, 1347137238494276547832006567721872890819326613454654477690085519113574118965817601, 9412343651268540526001186511911506574868063110469548823950876000379062365652829504091329792873336961

Offset

1,1

Comments

Also, 96th powers of primes.

More generally, the n-th number with p divisors is equal to the n-th prime raised to power p-1, where p is prime. In this case, p = 97.

Links

Table of n, a(n) for n=1..5.

OEIS Wiki, Index entries for number of divisors

Formula

a(n) = A000040(n)^(97-1) = A000040(n)^96.

A000005(a(n)) = 97.

Example

a(1) = 2^96, a(2) = 3^96, a(3) = 5^96, a(4) = 7^96, a(5) = 11^96.

Mathematica

With[{p = 25}, Table[Prime[n]^(Prime[p] - 1), {n, 5}]] (* Michael De Vlieger, Jan 02 2017 *)

Prog

(PARI) a(n)=prime(n)^96
(Magma) [NthPrime(n)^96: n in [1..5]]; // Vincenzo Librandi, Jan 06 2017

Crossrefs

Cf. A000005, A000040, A001248, A030514, A030516, A030629, A030631, A030635, A030637, A137486, A137492, A139571, A139572, A139573, A139574, A139575, A173533, A183062, A183085, A280298, A280299, A280301, A280346, A280347, A280349, A261700.

Sequence in context: A104300 A095450 A217407 * A095452 A068214 A144616

Adjacent sequences: A280347 A280348 A280349 * A280351 A280352 A280353

Keyword

nonn,easy

Author

Omar E. Pol, Jan 02 2017

Status

approved