A316991 Numbers m such that 1 < gcd(m, 14) < m and m does not divide 14^e for e >= 0.

6, 10, 12, 18, 20, 21, 22, 24, 26, 30, 34, 35, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 58, 60, 62, 63, 66, 68, 70, 72, 74, 76, 77, 78, 80, 82, 84, 86, 88, 90, 91, 92, 94, 96, 100, 102, 104, 105, 106, 108, 110, 114, 116, 118, 119, 120, 122, 124, 126, 130, 132

Offset

1,1

Comments

Complement of A000027 and union of A003591 and A162699.

Analogous to A081062 and A105115 that apply to A120944(1) and A120944(2), respectively.

This sequence applies to A120944(3).

Links

Michael De Vlieger, Table of n, a(n) for n = 1..10000

Example

6 is in the sequence since gcd(6, 14) = 2 and 6 does not divide 14^e with integer e >= 0.
2 is not in the sequence since 2 | 14.
4 is not in the sequence since 4 | 14^2.
3 and 5 are not in the sequence since they are coprime to 14.

Mathematica

With[{nn = 132, k = 14}, Select[Range@ nn, And[1 < GCD[#, k] < #, PowerMod[k, Floor@ Log2@ nn, #] != 0] &]]

Crossrefs

Cf. A003591, A081062, A105115, A120944, A162699.

Sequence in context: A102148 A107407 A315125 * A316992 A262481 A119689

Adjacent sequences: A316988 A316989 A316990 * A316992 A316993 A316994

Keyword

easy,nonn

Author

Michael De Vlieger, Aug 02 2018

Status

approved