A378856 Minimum over groups of order n of the maximum order of an element of the group.

1, 2, 3, 2, 5, 3, 7, 2, 3, 5, 11, 3, 13, 7, 15, 2, 17, 3, 19, 5, 7, 11, 23, 4, 5, 13, 3, 14, 29, 15, 31, 2, 33, 17, 35, 4, 37, 19, 13, 10, 41, 7, 43, 22, 15, 23, 47, 3, 7, 5, 51, 13, 53, 3, 11, 7, 19, 29, 59, 5, 61, 31, 21, 2, 65, 33, 67, 17, 69, 35, 71, 4, 73, 37, 5, 38, 77, 13, 79, 5, 3, 41, 83, 14, 85, 43, 87, 22, 89, 15, 91, 46, 31, 47, 95, 4, 97, 7, 33, 5

Offset: 1

Author

Ian Wanless, Feb 10 2025

Keywords

• nonn

Examples

			When n is a power of a prime p, a(n) = p because all elements of the elementary abelian p-group have order 1 or p.
		

References

• GAP small group library, The GAP Group, GAP -- Groups, Algorithms, and Programming, Version 4.14.0; 2024. (https://www.gap-system.org).

Crossrefs

a(n) is bounded below by sequence A006530 and above by A007947.