A152013 Indices of Fibonacci numbers having at least two distinct primitive prime factors.

19, 27, 31, 37, 41, 44, 46, 49, 50, 53, 55, 57, 58, 59, 61, 64, 67, 68, 69, 70, 71, 73, 77, 78, 79, 80, 81, 84, 85, 86, 87, 88, 89, 90, 91, 92, 95, 96, 97, 99, 100, 101, 102, 103, 104, 107, 109, 110, 113, 114, 115, 116, 117, 118, 120, 126, 127, 128, 129, 130, 133, 134

Offset

1,1

Comments

It is known that Fibonacci number A000045(n) has a primitive prime factor for all n, except n=0, 1, 2, 6 and 12. This sequence lists such indices n that A000045(n) has at least two primitive prime factors. Its sister sequence A152012 provides indices of Fibonacci numbers with exactly one primitive prime factor. The current sequence A152013 and its sister sequence A152012 along with the finite set {0,1,2,6,12} form a partition of the natural numbers.

Links

Table of n, a(n) for n=1..62.

Crossrefs

Cf. A000045, A001578, A152012.

Sequence in context: A043165 A043945 A274685 * A160036 A032701 A226726

Adjacent sequences: A152010 A152011 A152012 * A152014 A152015 A152016

Keyword

nonn

Author

Max Alekseyev, Nov 19 2008

Status

approved