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Lightanchor
Nov 2, 2012

Cantorsdust posted:

You know primes. Sometimes primes come in pairs only two apart, like 11 and 13, or 29 and 31. It's been proven that there are an infinite number of such "twin prime" pairs. But what about primes appearing three apart? Or four apart? Some number n apart? Are there an infinite number of "n prime" pairs for any n? If not, which n's?

There is only one pair of primes appearing three apart.

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