proof or given a counter example: if p,q are prines with p>q, and ∃s prime such s∈(q,p) then p−q≤Σ


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Question Number 510 by 123456 last updated on 21/Jan/15

$p r o o f o r g i v e n a c o u n t e r e x a m p l e :$ $i f p, q a r e p r i n e s w i t h p > q, a n d \exists s p r i m e$ $s u c h s \in (q, p) t h e n$ $p - q ⩽ \sum_{r \in (q, p), r i s p r i m e} r$
Commented by prakash jain last updated on 22/Jan/15

$Finding a counter example will$ $need three consecutive primes$ $q, s, p such that$ $s = q + k$ $p > 2 q + k$
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