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Common factors of shifted Fibonacci numbers
Authors:Hernández  Santos  Luca  Florian
Affiliation:1. Mathematical Institute UNAM, Ap. Postal 61-3 (Xangari), CP, 58 089, Morelia, Michoacán, Mexico
Abstract:For any positive integer n let Fn be the n-th Fibonacci number. Given positive integers a and b, we study the size of the greatest common divisor of Fn + a and Fm + b for varying positive integers m and n.
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