A389505 The smallest number in the earliest group of n consecutive numbers that contain prime factor exponents 1, 2, ..., n-1, n, respectively.

2, 3, 123, 2022, 3531868, 1191813179, 751717367890619, 4582049406828231709371, 228167760077070615011694218744

Offset

1,1

Links

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

Example

a(4) = 2022 as 2022 = 2^1*3^1*337^1, 2023 = 7*17^2, 2024 = 2^3*11^1*23^1, 2025 = 3^4*5^2, and this group of 4 consecutive numbers contain prime factor exponents of 1, 2, 3 and 4, respectively.

Crossrefs

Cf. A389794, A387536, A387537, A124010, A051903.

Sequence in context: A208247 A102697 A041813 * A065842 A065841 A051177

Adjacent sequences: A389502 A389503 A389504 * A389506 A389507 A389508

Keyword

nonn,more

Author

Scott R. Shannon, Oct 07 2025

Extensions

a(7)-a(9) from Bert Dobbelaere, Nov 05 2025

Status

approved