

A216594


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


1



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
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OFFSET

1,1


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.


LINKS



EXAMPLE

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


CROSSREFS



KEYWORD

nonn


AUTHOR



STATUS

approved



