An elementary arithmetic method yields an algorithm that generates all primitive positive solutions to 7x² + 59y² = 3^m and generalizes to similar equations of the form ax² + by² = ck^z.
Sierpinsky, On the equation 3x + 4y = 5 z, Wiadom
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Solutions of the Exponential Equation 7x^2 + 59y^2 = 3^m. A simple Algorithm producing all the primitive solutions
An elementary arithmetic method yields an algorithm that generates all primitive positive solutions to 7x² + 59y² = 3^m and generalizes to similar equations of the form ax² + by² = ck^z.