A128974 Numbers k such that 12k does not divide Fibonacci(12k).

7, 11, 13, 17, 19, 21, 22, 23, 26, 29, 31, 33, 34, 35, 37, 38, 39, 41, 43, 44, 47, 49, 52, 53, 58, 59, 61, 62, 63, 65, 66, 67, 68, 69, 71, 73, 74, 76, 77, 78, 79, 82, 83, 85, 86, 87, 88, 89, 91, 93, 94, 95, 97, 99, 101, 103, 104, 105, 106, 107, 109, 111, 113, 115, 116, 117

Offset: 1

Author

Alexander Adamchuk, May 11 2007

Keywords

• nonn

Comments

Complement of A072378 = {1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 24, 25, 27, ...} (numbers k such that 12k divides Fibonacci(12k)). It appears that {a(n)} includes all powers p^k for prime p > 5 and integer k > 0.

Links

• Seiichi Manyama, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A072378 (numbers k such that 12k divides Fibonacci(12k)).

Cf. A023172 (numbers k such that k divides Fibonacci(k)).

Programs

Mathematica

Select[ Range[400], !IntegerQ[ Fibonacci[ 12# ] / (12#) ] & ]