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Every even integer can be expressed as the difference of two primes?

there is one conjecture that I do not know what they are called. This is:

Every even number can be always written as the difference between two prime numbers. Could you please help me to know what it is called?

Regards,

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marked as duplicate by Graphth, Chris Eagle, Arkamis, ncmathsadist, tomasz Nov 1 '12 at 22:08

This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.

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Do you mean difference of two prime numbers or sum of two prime numbers. – Graphth Nov 1 '12 at 19:44
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Answered in the comments here: mathoverflow.net/questions/111196/… – Dejan Govc Nov 1 '12 at 20:13

Polignac's conjecture is what you want. It goes further, stating that there are infinately many prime gaps of size $n$ for every even integer $n$.

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