## A Conjecture

For discussing Olympiad Level Number Theory problems
Soumitra Das
Posts: 5
Joined: Mon Apr 03, 2017 1:59 pm

### A Conjecture

Prove that for every prime $$p > 2$$,there exists a prime $$q < p$$ such that $$p-q = 2^n$$ for some $n \in N_0$.

Atonu Roy Chowdhury
Posts: 63
Joined: Fri Aug 05, 2016 7:57 pm
Doesn't work when $p=127$.