## Product of Primes

Prove that

- \(\displaystyle \prod_{p \leq x} p \leq 4^{x-1}\) for all real \(x \geq 2\).

Here the product is taken over all *prime* numbers \(p \leq x\).

Prove that

- \(\displaystyle \prod_{p \leq x} p \leq 4^{x-1}\) for all real \(x \geq 2\).

Here the product is taken over all *prime* numbers \(p \leq x\).