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

Author

Lixin Zheng, Jul 03 2023

Keywords

• nonn

Comments

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

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

Examples

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

Links

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

Crossrefs

Subsequence of A352806. Elements generated from A364003.

Formula

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

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