On the divisibility of \(F_{n_0k^{p-1}}\) by \(k^p\) and of \(L_{n_0k^{p-1}}\), with \((F)\) the Fibonacci sequence and \((L)\) the Lucas sequence. (Sur la divisibilité de \(F_{n_0k^{p-1}}\) par \(k^p\) e de \(L_{n_0k^{p-1}}\) par \(k^p\) \((F)\) étant la suite de Fibonacci et \((L)\) celle de Lucas.) (French) Zbl 1537.11030
The author studies the divisibility of Fibonacci and Lucas numbers with index \(n_op^{k-1}\) by \(k^p\) using elementary number theory.
Reviewer: Franz Lemmermeyer (Jagstzell)
MSC:
| 11B39 | Fibonacci and Lucas numbers and polynomials and generalizations |
| 11A05 | Multiplicative structure; Euclidean algorithm; greatest common divisors |
