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

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%I A378856 #13 Feb 12 2025 12:45:54
%S A378856 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,
%T A378856 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,
%U A378856 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
%N A378856 Minimum over groups of order n of the maximum order of an element of the group.
%D A378856 GAP small group library, The GAP Group, GAP -- Groups, Algorithms, and Programming, Version 4.14.0; 2024. (https://www.gap-system.org).
%e A378856 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.
%Y A378856 a(n) is bounded below by sequence A006530 and above by A007947.
%K A378856 nonn
%O A378856 1,2
%A A378856 _Ian Wanless_, Feb 10 2025