Original scientific paper
Unique representation d=4k(k^2-1) in D(4)-quadruples {k-2,k+2,4k,d}
Y. Fujita
Abstract
Let k ≥ 3 be an integer. We show that if d is a positive integer such that the product of any two distinct elements of the set
{k-2,k+2,4k,d} increased by 4 is a square, then d must be
4k(k^2-1).
Keywords
Diphantine tuples; simultaneous Diophantine equations
Hrčak ID:
4178
URI
Publication date:
20.7.2006.
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