An integer whose decimal digits contain no zeros is said to be zerofree. The first few positive zerofree integers are 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 21, ... (OEIS A052382). Zerofree squares are easy to generate, e.g., 3333333333333334^2 = 1.111111111111111555555555555556×10^31