Skip to main content
4 of 5
edited tags
GH from MO
  • 105.3k
  • 8
  • 293
  • 398

$P_n$ is $n$-$th$ prime number then $P_{n+m} \ge P_n+P_m$

Let $n$, $m$ are two positive integer numbers for $n \ge 2$, $m \ge 1$; $P_n$ is $n$-$th$ prime number. How I can prove that:

$$P_{n+m} \ge P_n+P_m$$

Can you give for me a hint, a reference, or a comment, or a proof?