Product of Two Consecutive Fibonacci or Lucas Numbers Divisible by their Prime Sum of Indices
classification
🧮 math.NT
keywords
consecutivedivisiblefibonacciindiceslucasnumbersprimeproduct
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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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