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Found: 3

Problem #PRU-30649

Problems Algebra Algebraic equations and systems of equations Diophantine equations

Determine all integer solutions of the equation $3 x - 12 y = 7$ .

Problem #PRU-31288

Problems Algebra Algebraic equations and systems of equations Diophantine equations

Prove there are no integer solutions for the equation $4^{k} - 4^{l} = 10^{n}$ .

Problem #WSP-000465

Problems Algebra Algebraic equations and systems of equations Diophantine equations

Let $s$ and $t$ be two positive integers. Can we have $s^{2} = t^{2} + 2$ ?