

A133246


Odd numbers n with property that no odd Fibonacci number is divisible by n.


2



9, 17, 19, 23, 27, 31, 45, 51, 53, 57, 61, 63, 69, 79, 81, 83, 85, 93, 95, 99, 107, 109, 115, 117, 119, 133, 135, 137, 153, 155, 159, 161, 167, 171, 173, 181, 183, 187, 189, 197, 207, 209, 211, 217, 221, 225, 227, 229, 237, 241, 243, 247, 249, 253, 255, 257, 261
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OFFSET

1,1


COMMENTS

The Mathematica coding uses the fact that the Pisano period  the period with which a Fibonacci sequence (mod n) repeats itself is not more than 6n and the fact that the Fibonacci sequence starts with 0.


LINKS

Table of n, a(n) for n=1..57.
Tanya Khovanova, 9 Divides no Odd Fibonacci, arXiv:0712.3509 [math.CO], 2007.


MATHEMATICA

Transpose[ Select[Table[{k, Select[Table[{n, Mod[Fibonacci[n], k]}, {n, 6k + 1}], Mod[ #[[1]], 3] != 0 && #[[2]] == 0 &]}, {k, 1, 351, 2}], #[[2]] == {} &]][[1]]


CROSSREFS

Cf. A133247.
Sequence in context: A124966 A224442 A192049 * A190151 A144752 A317332
Adjacent sequences: A133243 A133244 A133245 * A133247 A133248 A133249


KEYWORD

nonn


AUTHOR

Tanya Khovanova, Oct 14 2007, Oct 17 2007


STATUS

approved



