New answers tagged arithmetic-progression
Yes, see Deniz Ali Kaptan's recent arXiv preprint. (Added: See Terry Tao's comment below for more references.) Concerning your second question, even full relative density is not enough to produce bounded gaps. Using standard upper bounds on the number of solutions $p'-p=d$ (for a given even $d>0$) it is surely straightforward to show that a certain full ...
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