Frobenius Numbers Associated with Diophantine Triples of x2-y2=z®

We give an explicit formula for the p-Frobenius number of triples associated with Diophantine Equations x(2)-y(2)=z (R) (r >= 2), that is, the largest positive integer that can only be represented in p ways by combining the three integers of the solutions of Diophantine equations x(2)-y(2)=z (R). This result is also a generalization because if r=2 and p=0, the (0-)Frobenius number of the Pythagorean triple has already been given. To find p-Frobenius numbers, we use geometrically easy to understand figures of the elements of the p-Ap & eacute;ry set, which exhibits symmetric appearances.