A137189 Numbers n such that no odd Fibonacci is divisible by n and n is not a multiple of another number in this sequence.

2, 9, 17, 19, 23, 31, 53, 61, 79, 83, 107, 109, 137, 167, 173, 181, 197, 211, 227, 229, 241, 257, 271, 293, 317, 349, 379, 383, 409, 421, 439, 443, 467, 499, 503, 541, 571, 587, 593, 601, 617, 631, 647, 653, 683, 691, 739, 751, 769, 773, 797, 811, 827, 829

Offset

0,1

Comments

Obviously if no odd Fibonacci is divisible by n, then no odd Fibonacci is divisible by a multiple of n.

The only composite in this sequence is 9.

Links

Table of n, a(n) for n=0..53.

Tanya Khovanova 9 Divides no Odd Fibonacci

Example

The most famous is the statement that no odd Fibonacci is divisible by 17.
Trivially, no odd Fibonacci is divisible by 2.

Crossrefs

Cf. A133247 Prime numbers p with property that no odd Fibonacci number is divisible by p. A133246 Odd numbers n with property that no odd Fibonacci number is divisible by n.

Sequence in context: A069622 A334193 A200944 * A028503 A100291 A126082

Adjacent sequences: A137186 A137187 A137188 * A137190 A137191 A137192

Keyword

nonn

Author

Tanya Khovanova, Mar 03 2008

Status

approved