A216594 Numbers which are not nilpotent numbers, but every group of that order has nontrivial center.

28, 40, 44, 63, 76, 88, 92, 104, 105, 112, 117, 124, 152, 165, 172, 176, 184, 188, 189, 195, 208, 224, 225, 231, 232, 236, 248, 268, 275, 279, 284, 285, 296, 304, 315, 316, 332, 344, 352, 357, 368, 375, 376, 385, 387, 412, 416, 424, 428, 429, 464, 472, 483

Offset: 1

Author

Mikko Korhonen, Sep 09 2012

Keywords

• nonn

Comments

If p > 3 is a prime and p == 3 (mod 4), then 4p is in this sequence. Since there exist infinitely many primes of the form 4k + 3, this sequence is infinite.

Examples

			Every group of order 28 has nontrivial center, but the dihedral group of order 28 is not nilpotent.
		

Links

• Mikko Korhonen, Table of n, a(n) for n = 1..200

Crossrefs

Subsequence of A056868.