MathDB
Trivial diophantine

Source: Baltic Way 2021, Problem 18

November 15, 2021
number theorynumber theory proposedDiophantine equationInfinite Descent

Problem Statement

Find all integer triples (a,b,c)(a, b, c) satisfying the equation 5a2+9b2=13c2. 5 a^2 + 9 b^2 = 13 c^2.