I am a 40+ math amateur who enjoys the classic proofs and is especially interested in understanding generalizations of Bertrand's Postulate.
37 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
11 Does it follow that $(n!)^n$ divide $(n^2)!$ Feb 4 '15
10 Is there a function that can be subtracted from the sum of reciprocals of primes to make the series convergent Jul 4 '15
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