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%I #13 May 01 2021 21:41:09
%S 15,21,22,28,29,35,36,37,42,43,45,49,50,51,52,56,57,58,63,64,65,66,70,
%T 71,72,73,77,78,79,80,81,84,85,86,87,88,91,92,93,94,96,98,99,100,101,
%U 102,105,106,107,108,109,112,113,114,115,116,117,119,120,121,122
%N Numbers k such that the alternating group A_k is a Hurwitz group.
%C This sequence contains every k > 167 [Conder].
%C This sequence is found in Section 2 of the Gordejuela and Martínez paper, which has a slight error: 86 occurs twice and 87 is missing.
%H Eric M. Schmidt, <a href="/A343821/b343821.txt">Table of n, a(n) for n = 1..150</a>
%H Marston D. E. Conder, <a href="https://doi.org/10.1112/jlms/s2-22.1.75">Generators for alternating and symmetric groups</a>, J. London Math. Soc. (2) 22 (1980), pp. 75-86.
%H J. J. Etayo Gordejuela and E. Martínez, <a href="https://doi.org/10.1016/j.jalgebra.2004.07.039">Alternating groups, Hurwitz groups and H^*-groups</a>, Journal of Algebra, 283 (2005), pp. 327-349.
%Y Complement of A343822.
%Y Cf. A179982.
%K nonn
%O 1,1
%A _Eric M. Schmidt_, Apr 30 2021