Generalized Fibonacci Numbers and the Problem of Diophantus
نویسنده
چکیده
Let n be an integer. A set of positive integers {al9 -..,am} is said to have the property of Diophantus of order n, symbolically D(n) if, for all i,j-\...ym, i^j, the following holds: apj +n = b?, where btj is an integer. The set {a1,...,am} is called aDiophantine m-tuple. In this paper we construct several Diophantine quadruples whose elements are represented using generalized Fibonacci numbers. It is a generalization of the following statements (see [8], [12], [6]): The sets
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