A249554 Numbers m such that there are precisely 11 groups of order m.

140, 364, 380, 460, 476, 572, 748, 819, 860, 940, 988, 1036, 1148, 1180, 1196, 1276, 1292, 1340, 1484, 1564, 1580, 1612, 1628, 1660, 1708, 1804, 1953, 2044, 2060, 2108, 2140, 2204, 2236, 2332, 2444, 2492, 2540, 2668, 2684, 2716, 2780, 2812, 2828, 2924, 3052, 3068, 3116, 3196, 3212

Offset

1,1

Links

Muniru A Asiru, Table of n, a(n) for n = 1..929

Index entries for sequences related to groups

Maple

with(GroupTheory): select(n->NumGroups(n)=11, [$1..4000]); # Muniru A Asiru, Mar 28 2018

Mathematica

Select[Range[10^4], FiniteGroupCount[#] == 11 &] (* A current limit in Mathematica is such that some orders >2047 may not be evaluated.*)(* Robert Price, May 24 2019 *)

Prog

(GAP) A249554 := Filtered([1..2015], n -> NumberSmallGroups(n) = 11); # Muniru A Asiru, Oct 16 2017

Crossrefs

Cf. A000001. Cyclic numbers A003277. Numbers m such that there are precisely k groups of order m: A054395 (k=2), A055561 (k=3), A054396 (k=4), A054397 (k=5), A135850 (k=6), A249550 (k=7), A249551 (k=8), A249552 (k=9), A249553 (k=10), this sequence (k=11), A249555 (k=12), A292896 (k=13), A294155 (k=14), A294156 (k=15), A295161 (k=16), A294949 (k=17), A298909 (k=18), A298910 (k=19), A298911 (k=20).

Sequence in context: A325022 A337689 A360217 * A196447 A255783 A255776

Adjacent sequences: A249551 A249552 A249553 * A249555 A249556 A249557

Keyword

nonn

Author

N. J. A. Sloane, Nov 01 2014

Extensions

More terms added by Muniru A Asiru, Oct 23 2017

Incorrect b-file shortened by Andrew Howroyd, Jan 28 2022

Status

approved