A145291 Primes p with generic simple group set S_p.

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

Offset

1,1

Comments

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.

Links

Table of n, a(n) for n=1..35.

Andrei V. Zavarnitsine, Finite simple groups with narrow prime spectrum, Oct 03, 2008.

Crossrefs

Cf. A000040.

Sequence in context: A068209 A139958 A097459 * A136076 A186399 A039431

Adjacent sequences: A145288 A145289 A145290 * A145292 A145293 A145294

Keyword

nonn

Author

Jonathan Vos Post, Oct 06 2008

Extensions

Corrected and edited by Andrei V. Zavarnitsine (zav(AT)math.nsc.ru), Oct 09 2008

Status

approved