A Conjecture

For discussing Olympiad Level Number Theory problems
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Soumitra Das
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A Conjecture

Unread post by Soumitra Das » Tue Apr 03, 2018 11:57 pm

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

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Atonu Roy Chowdhury
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Re: A Conjecture

Unread post by Atonu Roy Chowdhury » Wed Apr 04, 2018 10:17 pm

Doesn't work when $p=127$.
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