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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 (list; graph; refs; listen; history; text; internal format)
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.

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 A073160

Adjacent sequences:  A133243 A133244 A133245 * A133247 A133248 A133249

KEYWORD

nonn

AUTHOR

Tanya Khovanova, Oct 14 2007, Oct 17 2007

STATUS

approved

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Last modified March 27 01:05 EDT 2017. Contains 284141 sequences.