A389794 The smallest number in the earliest group of n consecutive numbers that contain prime factor exponents n, n-1, ..., 2, 1, respectively.

2, 4, 8, 4624, 1132623, 8966290624, 1546759130290623, 1146883109998096487870, 48720867007090890407486328125

Offset

1,1

Links

Table of n, a(n) for n=1..9.

Example

a(4) = 4624 as 4624 = 2^4*17^2, 4625 = 5^3*37^1, 4626 = 2^1*3^2*257, 4627 = 7^1*661^1, and this group of 4 consecutive numbers contain prime factor exponents of 4, 3, 2 and 1, respectively.

Crossrefs

Cf. A389505, A387536, A387537, A124010, A051903.

Sequence in context: A071686 A296742 A103097 * A335750 A062286 A071071

Adjacent sequences: A389791 A389792 A389793 * A389795 A389796 A389797

Keyword

nonn,more

Author

Scott R. Shannon, Oct 15 2025

Extensions

a(7)-a(9) from Bert Dobbelaere, Oct 31 2025

Status

approved