grandes-ecoles 2025 Q11

grandes-ecoles · France · centrale-maths1__official Number Theory Prime Counting and Distribution

Let $n \in \mathbb { N } ^ { * }$. Show that
$$\binom { 2 n } { n } \leqslant ( 2 n ) ^ { \pi ( 2 n ) }$$

Let $n \in \mathbb { N } ^ { * }$. Show that

$$\binom { 2 n } { n } \leqslant ( 2 n ) ^ { \pi ( 2 n ) }$$