ON THE SOME PARTICULAR SETS

Özet

For 𝑡 an integer, a 𝑃𝑡 set is defined as a set of 𝑚 positive integers with the property that the product of its any two distinct element increased by 𝑡 is a perfect square integer.In this study, the certain special 𝑃−5, 𝑃+5, 𝑃−7 and 𝑃+7 sets with size three are considered. It is demonstrated that they cannot be extended to 𝑃−5, 𝑃+5, 𝑃−7 and 𝑃+7 with size four. Also, some properties of them are proved.