We study the gaps between primes in Beatty sequences following the methods in the recent breakthrough by Maynard (2015).
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-aa7993-1-2016, author = {Roger C. Baker and Liangyi Zhao}, title = {Gaps between primes in Beatty sequences}, journal = {Acta Arithmetica}, volume = {172}, year = {2016}, pages = {207-242}, zbl = {06545348}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa7993-1-2016} }
Roger C. Baker; Liangyi Zhao. Gaps between primes in Beatty sequences. Acta Arithmetica, Tome 172 (2016) pp. 207-242. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa7993-1-2016/