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A PROBLEM OF DIOPHANTUS AND PELL NUMBERS

A PROBLEM OF DIOPHANTUS AND PELL NUMBERS,Andrej Dujella

A PROBLEM OF DIOPHANTUS AND PELL NUMBERS   (Citations: 4)
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Abstract: Let n be an integer. A set of positive integers {a_1, a_2,...,a_m} is said to have the property of Diophantus of order n, symbolically D(n), if a_i*a_j + n is a perfect square for all 1<=i<j<=m. It is known that for any integer l and any set {a, b} with the property D(l^2), where ab is not a perfect square, there exist an infinite number of sets of the form {a, b, c, d} with the property D(l^2). Using this result, we construct such sets with elements given in terms of Pell and Pell-Lucas...
Published in 1998.
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