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%I #3 Mar 30 2012 18:40:49
%S 59,89,107,131,167,197,223,227,311,317,347,359,379,383,389,397,419,
%T 461,479,503,541,569,587,617,643,647,691,761,797,827,839,887,967,977,
%U 983
%N Primes p with generic simple group set S_p.
%C For a prime p, S_p denotes the set of non-Abelian finite simple groups G such that p is the maximal prime divisor of the order of G. The generic elements of S_p are the simple groups PSL(2,p), A_p, A_{p+1}, ..., A_{p'-1}, where p' is the smallest prime greater than p. The sequence lists the primes p such that S_p contains no simple groups other than the generic ones.
%H Andrei V. Zavarnitsine, <a href="http://arxiv.org/abs/0810.0568v1">Finite simple groups with narrow prime spectrum</a>, Oct 03, 2008.
%Y Cf. A000040.
%K nonn
%O 1,1
%A _Jonathan Vos Post_, Oct 06 2008
%E Corrected and edited by Andrei V. Zavarnitsine (zav(AT)math.nsc.ru), Oct 09 2008
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