Number theory · Divisors · Perfect squares · Prime factorization · Integer identities
Let \(n\) be a natural number and let \(d\) be a positive divisor of \(2n^2\). Can \(n^2 + d\) be a perfect square?
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Serbian Republic Competition (Republicko takmicenje) 1996, high school grade I, problem 3. Organized by the Mathematical Society of Serbia (DMS). Source