**aark** (07/22/82)

CYCLIC INTEGERS: The 6-digit integer 142857 has the following curious property. When multiplied by integers from 1 to 6: 142857 x 1 = 142857 142857 x 2 = 285714 142857 x 3 = 428571 142857 x 4 = 571428 142857 x 5 = 714285 142857 x 6 = 857142 The products contain the same digits in the same order as 142857, except they are circularly rotated. For example, 285714 results if 142857 is circularly rotated two digits to the left. In general, an n-digit integer A is a cyclic integer if all its multiples, A x 1 through A x n, are circular rotations of A. THE CHALLENGE: Find some other cyclic integers. Hint: Zeroes are allowed anywhere, including leading zeroes. After a while I'll post my solution.