grandes-ecoles 2025 Q3

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

Deduce that, for all real $x \geqslant 1$,
$$\prod _ { \substack { p \leqslant x \\ p \text { prime } } } p < 4 ^ { x } .$$

Deduce that, for all real $x \geqslant 1$,

$$\prod _ { \substack { p \leqslant x \\ p \text { prime } } } p < 4 ^ { x } .$$