Two questions:

Problem 52 says "Find the smallest positive integer, x, such that 2x, 3x, 4x, 5x, and 6x, contain the same digits."

1. I guess (haven't solved this problem yet) that

**x**, 2x, 3x, 4x, 5x, and 6x should contain the same digits. Is this correct?

2. The smallest positive integer that fits the criteria is 1, which is obviously not the expected answer... mby worth a note in the problem description?