In this excellent question it occurred to me that there is a subtractive Goldbach problem: Every even integer may be written as $p-q$ for primes $p,q$.
Does anyone have a reference for this problem?
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I checked on my computer than this holds for ever even number up to 1984. – Mar 01 '13 at 22:06
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yeah this does not follow from Green-Tao. – Mar 01 '13 at 22:21
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@Pambos, that's great, the answer given by Harry Stern is perfect! – Mar 01 '13 at 22:24