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- 2017
On Diophantine quadruples of Fibonacci numbersDOI: 10.3336/gm.52.2.02 Keywords: Diophantine tuples, Fibonacci numbers, Subspace Theorem Abstract: Sa？etak We show that there are only finitely many Diophantine quadruples, that is, sets of four positive integers {a1,a2,a3,a4} such that aiaj+1 is a square for all 1 ≤ i < j ≤ 4, consisting of Fibonacci numbers
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