engleski

There are only finitely many D(4)-quintuples

A D(4)-m-tuple is a set of m positive integers with the property that the product of any two of them increased by 4 is a perfect square. It is know that there does not exist a D(4)-sextuple. In this paper we show that the number of D(4)-quintuples is less than 10^323. Moreover, we prove that if {; ; a, b, c, d, e}; ; is a D(4)-quintuple, then max{; ; a, b, c, d, e}; ; < 10^10^28.

D(4)-m-tuples; Pellian equations

nije evidentirano