A117730 Numbers for which the largest proper divisor is a Fibonacci number.

2, 3, 4, 5, 6, 7, 9, 10, 11, 13, 15, 16, 17, 19, 23, 25, 26, 29, 31, 37, 39, 41, 42, 43, 47, 53, 59, 61, 63, 65, 67, 68, 71, 73, 79, 83, 89, 91, 97, 101, 103, 107, 109, 110, 113, 127, 131, 137, 139, 143, 149, 151, 157, 163, 165, 167, 169, 173, 178, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229

Offset

1,1

Links

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

Example

275 is in the sequence because the largest proper divisor is 55 and 55 is a Fibonacci number.

Mathematica

fibs=Fibonacci[Range[25]]; Select[Range[2, 500], MemberQ[fibs, Last[Most[Divisors[#]]]]&] (* Harvey P. Dale, Dec 20 2010 *)

Crossrefs

Cf. A000040, A000045, A032742.

Sequence in context: A062462 A033948 A285514 * A193838 A174328 A272570

Adjacent sequences: A117727 A117728 A117729 * A117731 A117732 A117733

Keyword

nonn

Author

Luc Stevens (lms022(AT)yahoo.com), Apr 13 2006

Extensions

Corrected and additional terms provided by Harvey P. Dale, Dec 20 2010

Offset corrected by Amiram Eldar, Jul 16 2022

Status

approved