A295991 Numbers n such that there are precisely 5 groups of orders n and n + 1.

1107, 1268, 2036, 2163, 2403, 2451, 2612, 3075, 3284, 3411, 3698, 4052, 4388, 4772, 4868, 5156, 5715, 6212, 6452, 6771, 6788, 7011, 7155, 8547, 8612, 8643, 8948, 9092, 9124, 10227, 11204, 11444, 11636, 11811, 13652, 13778, 14067, 14324, 14547, 17043, 17427, 18818, 18915, 19892

Offset: 1

Author

Muniru A Asiru, Dec 02 2017

Keywords

• nonn

Comments

Equivalently, lower member of consecutive terms of A054397.

Examples

			1107 is in the sequence because A000001(1107) = A000001(1108) = 5, 1268 is in the sequence because A000001(1268) = A000001(1269) = 5 and 2163 is in the sequence because A000001(2163) = A000001(2164) = 5.
		

Links

• Muniru A Asiru, Table of n, a(n) for n = 1..103
• H. U. Besche, B. Eick and E. A. O'Brien. A Millennium Project: Constructing Small Groups, Internat. J. Algebra and Computation, 12 (2002), 623-644.
• Gordon Royle, Numbers of Small Groups
• Index entries for sequences related to groups

Crossrefs

Cf. A000001, A054397.

Formula

Sequence is { n | A000001(n) = 5, A000001(n+1) = 5 }.