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

Hi all,

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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 Recognitions: Gold Member For a first information you could look at this : http://en.wikipedia.org/wiki/Prime_pairs
 Thanks that was rather embarrassing but I'll be using the wiki more often now.

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

 Quote by Michael27 Hi all, 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.
goggle "twin primes" but also goggle "twin prunes" because a lot of the ocr stuff is mistakenly translated that way.

 Recognitions: Gold Member Science Advisor Staff Emeritus Oh, that's funny! Unfortunately, I also got a couple of links to "old men's testicles"!

 Tags cardinalm, pairs, prime, set