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A137189 Numbers n such that no odd Fibonacci is divisible by n and n is not a multiple of another number in this sequence. 0

%I #3 Mar 30 2012 18:49:09

%S 2,9,17,19,23,31,53,61,79,83,107,109,137,167,173,181,197,211,227,229,

%T 241,257,271,293,317,349,379,383,409,421,439,443,467,499,503,541,571,

%U 587,593,601,617,631,647,653,683,691,739,751,769,773,797,811,827,829

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

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

%C The only composite in this sequence is 9.

%H Tanya Khovanova <a href="http://arXiv.org/abs/0712.3509">9 Divides no Odd Fibonacci</a>

%e The most famous is the statement that no odd Fibonacci is divisible by 17.

%e Trivially, no odd Fibonacci is divisible by 2.

%Y 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.

%K nonn

%O 0,1

%A _Tanya Khovanova_, Mar 03 2008

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