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

Author

Michael De Vlieger, Aug 02 2018

Keywords

• easy
• nonn

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).

Examples

			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.
		

Links

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

Crossrefs

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

Programs

Mathematica

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