grandes-ecoles 2025 Q8

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

Deduce that, for all $n \in \mathbb { N } ^ { * }$,
$$n ^ { ( \pi ( n ) - \pi ( \sqrt { n } ) ) / 2 } < 4 ^ { n }$$

Deduce that, for all $n \in \mathbb { N } ^ { * }$,

$$n ^ { ( \pi ( n ) - \pi ( \sqrt { n } ) ) / 2 } < 4 ^ { n }$$