So I watched this video: http://m.youtube.com/watch?v=rGo2hsoJSbo
And it included the fact that a consequence of RH is that there will always be a prime number between consecutive cubic numbers. I havent heard of this consequence before so First off I was wondering if this result is true if and only if the Riemann hypothesis is true and secondly I was wondering where I could see the derivation of this result.