The problem is that OP specifically said 2^33, which is quite darn easy. I didn't immediately realize that he was saying so just because, in this specific case,

The problem is that OP specifically said 2^33, which is quite darn easy. I didn't immediately realize that he was saying so just because, in this specific case, only 66 bits needed to be found, which indeed gives 2^33 by applying the usual formula.