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Can every even integer be expressed as the difference of two primes? If so, is there any elementary proof?

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    You could strengthen this to "Every even integer can be expressed as the difference of a pair of *consecutive* primes" or "Every even integer can be expressed as the difference of *an infinite number* of pairs of primes", or even to "Every even integer can be expressed as the difference of an infinite number of pairs of consecutive primes". They are all open questions.2011-03-21
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    See https://oeis.org/A0204832011-03-21
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    @Charles: seen it.2011-04-19
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    Isn't this an implication of Goldbach's conjecture being true?2016-01-31
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    @AnantSaxena why?2017-06-21

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