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A147956 All positive integers that are not multiples of any Fibonacci numbers >= 2. 2
1, 7, 11, 17, 19, 23, 29, 31, 37, 41, 43, 47, 49, 53, 59, 61, 67, 71, 73, 77, 79, 83, 97, 101, 103, 107, 109, 113, 119, 121, 127, 131, 133, 137, 139, 149, 151, 157, 161, 163, 167, 173, 179, 181, 187, 191, 193, 197, 199, 203, 209, 211, 217, 223, 227, 229, 239, 241 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

This sequence contains a 1 and all terms of sequence A092579 that are not prime Fibonacci numbers.

LINKS

Amiram Eldar, Table of n, a(n) for n = 1..10000

EXAMPLE

77 has the divisors 1,7,11,77. None of these divisors is a Fibonacci number >= 2. So 77 is included in the sequence.

MATHEMATICA

fibQ[n_] := IntegerQ @ Sqrt[5 n^2 - 4] || IntegerQ @ Sqrt[5 n^2 + 4]; aQ[n_] := !AnyTrue[Rest[Divisors[n]], fibQ]; Select[Range[250], aQ] (* Amiram Eldar, Oct 06 2019 *)

CROSSREFS

Cf. A092579.

Sequence in context: A349997 A076045 A101618 * A163996 A117743 A216495

Adjacent sequences:  A147953 A147954 A147955 * A147957 A147958 A147959

KEYWORD

nonn

AUTHOR

Leroy Quet, Nov 17 2008

EXTENSIONS

Extended by Ray Chandler, Nov 24 2008

STATUS

approved

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Last modified June 29 11:44 EDT 2022. Contains 354913 sequences. (Running on oeis4.)