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arXiv · 1407.3876

Product of Two Consecutive Fibonacci or Lucas Numbers Divisible by their Prime Sum of Indices

Vladimir Pletser
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Abstract

We show that the product of two consecutive Fibonacci (respectively Lucas) numbers is divisible by the sum of their indices if this sum is a prime number different from 5 and in the form (4r+1)(respectively (4r+3)).

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Vladimir Pletser. 2014-07-15. Product of Two Consecutive Fibonacci or Lucas Numbers Divisible by their Prime Sum of Indices. https://arxiv.org/abs/1407.3876

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