A295995 Numbers n such that there are precisely 15 groups of orders n and n + 1.

1863, 1971, 4292, 7624, 8180, 15140, 17875, 19524, 20180, 21020, 23732, 23751, 28371, 30124, 33032, 33939, 34532, 35427, 36620, 40071, 41444, 42579, 44739, 45128, 45603, 46052

Offset: 1

Author

Muniru A Asiru, Dec 02 2017

Keywords

• nonn

Comments

Equivalently, lower member of consecutive terms of A294156.

Examples

			1863 is in the sequence because A000001(1863) = A000001(1864) = 15, 1971 is in the sequence because A000001(1971) = A000001(1972) = 15 and 19524 is in the sequence because A000001(19524) = A000001(19525) = 15.
		

Links

• 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, A294156.

Formula

Sequence is { n | A000001(n) = 15, A000001(n+1) = 15 }.