Prove-that-sum-of-all-prime-numbers-p-such-that-n-p-2-k-n-is-2-k-n-n-p-2-k-n-p-2-k-n-p-prime-

Question Number 3630 by prakash jain last updated on 16/Dec/15

Prove that sum of all prime numbers p

such that n ⩽ p ⩽ 2^{k} n is ⩾ 2^{k} n .

\sum_{n ⩽ p ⩽ 2^{k} n} p ⩾ 2^{k} n (p - p r i m e)