### Abstract

Let (F_{n})_{n≥o} be the Fibonacci sequence. For 1 ≤ k ≤ m, the Fibonomial coefficient is defined as {equation presented}, for k > m. In this paper, we shall prove that if p is a prime number such that p ≡ -2 or 2 (mod 5), then p | {equation presented} for all a ≥ 1.

Original language | English (US) |
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Pages (from-to) | 78-83 |

Number of pages | 6 |

Journal | Fibonacci Quarterly |

Volume | 51 |

Issue number | 1 |

State | Published - Feb 2013 |

### All Science Journal Classification (ASJC) codes

- Algebra and Number Theory

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## Cite this

Marques, D., Sellers, J. A., & Trojovský, P. (2013). On divisibility properties of certain fibonomial coefficients by a prime.

*Fibonacci Quarterly*,*51*(1), 78-83.