Question 65
Suppose that $p$ is an odd prime number and $M$ a set of $\frac{p^2+1}{2}$ integer squares.
Investigate if one can choose $p$ elements of this set so that the arithmetic mean of these $p$ elements is an integer.
(Walther Janous)
Investigate if one can choose $p$ elements of this set so that the arithmetic mean of these $p$ elements is an integer.
(Walther Janous)