[Math] Determining the next Twin Prime

algorithmselementary-number-theoryprime numbersprime-twins

A really simple I question I guess. Is there an algorithm or method such that given an integer $N$ there is a way to determine the next twin prime pair greater than $N$?

If yes, then could you please explain it?

Best Answer

It isn't even known that there is always a twin prime pair greater than $N$ (so strictly speaking, there isn't an algorithm that is known to work).

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