Is There an Upper Bound to the Separation Between Cubes and Squares?

Is there an upper bound to the separation between cubes and squares, like how far apart they are? That's a very good question. I don't know that this is known. Yet. So we have some ealizations of like mihalesc's theorem. Now, can we find all the cubes that are two away from a prime, or three away from aprime or four away from a Prime? And then we go to the other fields of math and we say, what can you tell us please? We need to know these things. No, no, no. It's not a proof. Te butler, but beme. Cnjecture, the know,