Does a number exist that would disprove Andrica's conjecture?

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Ok my thread seems to have gone into a black hole. The existence of such a number would disprove Andrica's conjecture.
 
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Well, if you looked down a few lines in the form, you would see that it got moved to a different forum. :-p It still exists.

I thought it a textbook problem because it's very straightforward to show no such n exists.