ON THE SOME PARTICULAR SETS

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

?? Sets, Congruences, Reciprocity

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