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I have been asked the question by a friend of mine who was working on a computer algorithm where he needed pairs of primes to uniquely identify items in a set.

What I would like to know is there a way to proof that the set of prime pairs (p, p+2) is finite or infinite. I have been looking around for some proof but have yet to locate it. Mostly because I am out of my depth to find meaningful terms to search for.

Any help will be appreciated,

Michael.

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# Is the set of prime pairs (p, p+2) finite?

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