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Do there exist infinitely many such that is prime for all with ?
Source: erdosproblems.com/1140
An accepted solution exists. The statement is false.
Disproved: the site credits Epure and Gica's Theorem 4.1 and their remark with a result of Mollin and Williams, which together leave at most nine such ; the accepted claim page is Epure and Gica 2010.