A280347 Numbers with 83 divisors.

4835703278458516698824704, 1330279464729113309844748891857449678409, 2067951531382569187178521730174907133914530277252197265625, 1986274564260074954771227439341817016242885890299592103563430267952049, 24785642596484137367310393918366845247634028377292875541962916350799472426091085092921

Offset

1,1

Comments

Also, 82nd 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 = 83.

Links

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

OEIS Wiki, Index entries for number of divisors

Formula

a(n) = A000040(n)^(83-1) = A000040(n)^82.

A000005(a(n)) = 83.

Example

a(1) = 2^82, a(2) = 3^82, a(3) = 5^82, a(4) = 7^82, a(5) = 11^82.

Mathematica

With[{p = 23}, Table[Prime[n]^(Prime@ p - 1), {n, 5}]] (* Michael De Vlieger, Jan 01 2017 *)

Prog

(PARI) a(n)=prime(n)^82

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, A280349, A261700.

Sequence in context: A030198 A104267 A113538 * A009190 A095444 A309072

Adjacent sequences: A280344 A280345 A280346 * A280348 A280349 A280350

Keyword

nonn,easy

Author

Omar E. Pol, Jan 01 2017

Status

approved