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A145291
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Primes p with generic simple group set S_p.
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0
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59, 89, 107, 131, 167, 197, 223, 227, 311, 317, 347, 359, 379, 383, 389, 397, 419, 461, 479, 503, 541, 569, 587, 617, 643, 647, 691, 761, 797, 827, 839, 887, 967, 977, 983
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OFFSET
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1,1
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COMMENTS
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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.
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LINKS
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Table of n, a(n) for n=1..35.
Andrei V. Zavarnitsine, Finite simple groups with narrow prime spectrum, Oct 03, 2008.
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CROSSREFS
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Cf. A000040.
Sequence in context: A068209 A139958 A097459 * A136076 A186399 A039431
Adjacent sequences: A145288 A145289 A145290 * A145292 A145293 A145294
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KEYWORD
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nonn
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AUTHOR
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Jonathan Vos Post, Oct 06 2008
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EXTENSIONS
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Corrected and edited by Andrei V. Zavarnitsine (zav(AT)math.nsc.ru), Oct 09 2008
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STATUS
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approved
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