A335000 - OEIS

A335000

Orders of the groups PSL(m,q) in increasing order as q runs through the prime powers (with repetitions).

6, 12, 60, 60, 168, 168, 360, 504, 660, 1092, 2448, 3420, 4080, 5616, 6072, 7800, 9828, 12180, 14880, 20160, 20160, 25308, 32736, 34440, 39732, 51888, 58800, 74412, 102660, 113460, 150348, 178920, 194472, 246480, 262080, 265680, 285852, 352440, 372000, 456288, 515100, 546312

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OFFSET

1,1

COMMENTS

60 is the order of PSL(2,4) and of PSL(2,5).

168 is the order of PSL(2,7) and of PSL(3,2).

20160 is the order of PSL(4,2) and of PSL(3,4).

Other repetitions > 20160 for PSL(m,q) groups are not known.

See A334884 and A334994 for variations of this sequence.

LINKS

Table of n, a(n) for n=1..42.

Wikipedia, Projective linear group.