Let $ R(n)$ be the $ n$ th record gap between primes; $ R(n)=\mbox{A005250}(n)$ in OEIS. The paper arXiv:1709.05508 conjectures, among other things, that $ $ R(n) = O(n^2) \tag{1} $ $ and, more specifically, $ $ R(n) \le n^2. \tag{2} $ $ (The heuristic reasoning in arXiv:1709.05508 is based on (a) Cramer’s conjecture andRead more