A173671 Positive integers that cannot be expressed as 3^m-2^n where m and n are integers.

3, 4, 6, 9, 10, 12, 13, 14, 15, 16, 18, 20, 21, 22, 24, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 66, 67, 68, 69, 70, 71, 72, 74, 75, 76, 78, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100

Offset

1,1

Comments

The complement of this set, i.e., integers of the form 3^m-2^n, is A192111. - M. F. Hasler, Nov 24 2010

Links

Table of n, a(n) for n=1..83.

H. Gauchman and I. Rosenholtz (Proposers), R. Martin (Solver), Difference of prime powers, Problem 1404, Math. Mag., 65 (No. 4, 1992), 265; Solution, Math. Mag., 66 (No. 4, 1993), 269.

Math Overflow, 3^n - 2^m = +-41 is not possible. How to prove it?, Several contributors, Jun 29 2010.

Crossrefs

Cf. A075824, A074981, A014121, A192110, A192111, A227048, A321671.

Sequence in context: A143037 A225059 A190899 * A325440 A080710 A115837

Adjacent sequences: A173668 A173669 A173670 * A173672 A173673 A173674

Keyword

nonn

Author

Max Alekseyev, Nov 24 2010

Extensions

Deleted unwarranted programs and b-file. - N. J. A. Sloane, Oct 21 2019

Status

approved