I am a 40+ math amateur who enjoys the classic proofs and is especially interested in understanding generalizations of Bertrand's Postulate.
36 Generalizing Ramanujan's proof of Bertrand's Postulate: Can Ramanujan's approach be used to show a prime between $4x$ and $5x$ for $x \ge 3$ apr 10 '13
8 Is it possible to generalize Ramanujan's lower bound for factorials that he used in his proof of Bertrand's Postulate? apr 13 '13
6 Is there an integer $y>0$ such that for all $x>y$, at least $4$ of $x+1, x+2, x+3, x+4, x+5$ are divisible by a prime greater than $5$? mar 24 '14
5 Understanding a famous proof by Jitsuro Nagura: Need help understanding one step in the main theorem apr 22 '13