A167448 Smallest number with n distinct positive cubic exponents in its prime factorization.

1, 2, 768, 4403012567040, 384637545508886260255243527782400000000

Offset

0,2

Links

Table of n, a(n) for n=0..4.

Formula

a(n) = Product_{k=1..n} prime(k)^((n-k+1)^3).

Example

a(2)=768, which has a prime factorization of 2^8 * 3^1.

Mathematica

Table[Product[Prime[k]^((n - k + 1)^3), {k, 1, n}], {n, 0, 5}] (* Vaclav Kotesovec, Aug 10 2021 *)

Crossrefs

Subsequence of A025487.

Sequence in context: A102969 A179960 A344663 * A320481 A078169 A226779

Adjacent sequences: A167445 A167446 A167447 * A167449 A167450 A167451

Keyword

nonn

Author

Matthew Vandermast, Nov 09 2009

Status

approved