A364004 Orders of simple groups PSL(2,K) with exactly 4 prime divisors.

660, 1092, 4080, 3420, 6072, 7800, 9828, 14880, 32736, 25308, 51888, 58800, 74412, 194472, 265680, 456288, 612468, 1024128, 2097024, 2165292, 3594432, 7174332, 8487168, 28090752, 57750408, 96049728, 321367392

Offset

1,1

Comments

Sequence is conjectured to be infinite, see Bugeaud et al.

All entries are divisible by 6 by order formula for PSL(2,q).

Links

Table of n, a(n) for n=1..27.

Y. Bugeaud, Z. Cao, and M. Mignotte, On Simple K4-Groups, Journal of Algebra, 241 (2001), 658-668.

Formula

Terms are q*(q^2-1)/gcd(2, q-1) for q in A364003.

a(n) = A033931(A364003(n)-1).

Example

660 has prime divisors 2,3,5,11.

Crossrefs

Subsequence of A352806. Elements generated from A364003.

Sequence in context: A023294 A067235 A113171 * A252519 A014362 A143042

Adjacent sequences: A364001 A364002 A364003 * A364005 A364006 A364007

Keyword

nonn

Author

Lixin Zheng, Jul 03 2023

Status

approved