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May 22, 2020 at 16:35 comment added Greg Martin As a guide to intuition: methods in analytic number theory rarely establish just that there exists one object with certain properties—they tend to establish the existence of a bunch of such objects. (Usually because they say the number of objects is (main term) + (error term), and ensuring that the main term is strictly larger than the error term is usually only possible by ensuring that the main term is way larger than the error term.) So statements like Linnik's theorem actually come from proofs that lots of primes are present past $cb^L$, which suggests that this extension isn't hard.
Apr 10, 2020 at 12:39 vote accept Christoph Haase
Apr 10, 2020 at 11:13 answer added 2734364041 timeline score: 4
Apr 10, 2020 at 10:54 history asked Christoph Haase CC BY-SA 4.0