Prime Pair

A PrimePair consists of two PrimeNumbers that differ by 2. For example:

 3 --  5
 5 --  7
11 -- 13
17 -- 19
29 -- 31

It is said that there are special conditions associated with these things, though that water is deeper than my little pond.

It is an OpenQuestion as to whether there are infinitely many prime pairs.

PrimePairs are also know as "twin primes". And these have a sub-category (2^n-1, 2^n+1) whose name escapes me. (perhaps find it here http://www.mersenne.org/ecmp.htm)

[Perhaps some faulty recollection, as (3,5) is the only prime pair in that sub-category.]

See: http://www.sciencenews.org/articles/20010602/mathtrek.asp

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CategoryMath