A249551 Numbers m such that there are precisely 8 groups of order m.

510, 690, 870, 910, 1122, 1190, 1330, 1395, 1410, 1590, 1610, 1770, 1914, 2002, 2210, 2346, 2470, 2490, 2590, 2618, 2670, 2706, 2745, 2926, 2958, 2990, 3094, 3102, 3210, 3230, 3290, 3390, 3458, 3465, 3498, 3710, 3770, 3894, 3910, 4002, 4110, 4130, 4182, 4186, 4370, 4470

Offset

1,1

Links

Muniru A Asiru, Table of n, a(n) for n = 1..1064

H. U. Besche, B. Eick and E. A. O'Brien, Numbers of isomorphism types of finite groups of given order

Index entries for sequences related to groups

Mathematica

Select[Range[10^4], FiniteGroupCount[#] == 8 &] (* A current limit in Mathematica is such that some orders >2047 may not be evaluated.*) (* Robert Price, May 24 2019 *)

Prog

(GAP) A249551 := Filtered([1..2015], n -> NumberSmallGroups(n) = 8); # Muniru A Asiru, Oct 18 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), this sequence (k=8), A249552 (k=9), A249553 (k=10), A249554 (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: A345361 A048254 A303994 * A248790 A252877 A202595

Adjacent sequences: A249548 A249549 A249550 * A249552 A249553 A249554

Keyword

nonn

Author

N. J. A. Sloane, Nov 01 2014

Extensions

a(15)-a(16) from Muniru A Asiru, Oct 18 2017

More terms from Michael De Vlieger, Oct 18 2017

Missing terms added by Andrey Zabolotskiy, Oct 27 2017

Status

approved