engleski

The extendibility of D(4)-pair {;F_{;2k};, 5F_{;2k};};

Let k ≥ 1 be an integer and let F_k be the k-th Fibonacci number. In this paper we prove that if {;F_{;2k};, 5F_{;2k};, c, d}; with c < d is the set of four positive integers such that any product of its two distinct elements increased by 4 is a perfect square, then d is uniquely determined by k and c.

Diophantine m-tuples; simultaneous Diophantine equations

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