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We give a method to solve generalized Fermat equations of type x 4 +y 4 = qz p , for some prime values of q and every prime p bigger than 13. We illustrate the method by proving that there are no solutions for q = 73,89 and 113. Math. Subject Classification: 11D41,11F11

Solving diophantine equations x4+ y4= q zp

Solving diophantine equations x⁴+ y⁴= q z^p