A111120 Decimal expansion of sum_{k=1..inf} 1/2^(prime(k)-k)).

1, 3, 9, 9, 9, 6, 6, 2, 7, 5, 5, 5, 9, 9, 0, 8, 9, 4, 2, 6, 0, 0, 5, 0, 9, 8, 1, 6, 3, 1, 1, 3, 1, 5, 4, 7, 1, 2, 8, 2, 3, 4, 4, 3, 6, 1, 8, 4, 4, 0, 6, 8, 8, 2, 1, 0, 3, 6, 4, 7, 6, 5, 4, 1, 7, 6, 9, 0, 3, 8, 7, 8, 7, 2, 5, 3, 3, 4, 0, 4, 1, 9, 1, 1, 8, 5, 8, 2, 1, 9, 8, 1, 8, 0, 6, 4, 9, 1, 0, 5, 8, 9, 2, 9, 1