A280349 Numbers with 89 divisors.

309485009821345068724781056, 969773729787523602876821942164080815560161, 32311742677852643549664402033982923967414535582065582275390625, 233683216210633558353880137011125430143959282107856711392134007594290612801, 43909277783870034878569768760415886733743786946105343887995366053338664170638348798300219681

Offset

1,1

Comments

Also, 88th 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 = 89.

Links

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

OEIS Wiki, Index entries for number of divisors

Formula

a(n) = A000040(n)^(89-1) = A000040(n)^88.

A000005(a(n)) = 89.

Example

a(1) = 2^88, a(2) = 3^88, a(3) = 5^88, a(4) = 7^88, a(5) = 11^88.

Mathematica

With[{p = 24}, Table[Prime[n]^(Prime@ p - 1), {n, 5}]] (* Michael De Vlieger, Jan 01 2017 *)

Prog

(PARI) a(n)=prime(n)^88

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, A261700.

Sequence in context: A323535 A250493 A219322 * A215403 A053776 A217413

Adjacent sequences: A280346 A280347 A280348 * A280350 A280351 A280352

Keyword

nonn,easy

Author

Omar E. Pol, Jan 01 2017

Status

approved