Question 152
Determine all prime numbers $p$, such that the number
$$
\binom{p}{1}^2 + \binom{p}{2}^2 + \dots + \binom{p}{p-1}^2
$$
is divisible by $p^3$.
$$
\binom{p}{1}^2 + \binom{p}{2}^2 + \dots + \binom{p}{p-1}^2
$$
is divisible by $p^3$.
MathNet 2008-part-01 — 165 problems (EN–VI) Question 152
Math Olympiad Vault · MathNet 2008-part-01 — 165 problems (EN–VI)