Mathematical and Physical Journal
for High Schools
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# Problem B. 4786. (April 2016)

B. 4786. Let $\displaystyle p$ and $\displaystyle q$ be positive integers. Prove that at least one of $\displaystyle p^2+q$ and $\displaystyle p+q^2$ is not a perfect square.

(3 pont)

Deadline expired on May 10, 2016.

### Statistics:

 107 students sent a solution. 3 points: 95 students. 2 points: 6 students. 0 point: 6 students.

Problems in Mathematics of KöMaL, April 2016