Problem 53
Problem 35
The number, 197, is called a circular prime because all rotations of the digits: 197, 971, and 719, are themselves prime.
Problem 36
The decimal number, 585 = 10010010012 (binary), is palindromic in both bases.
Problem 37
The number 3797 has an interesting property. Being prime itself, it is possible to continuously remove digits from left to right, and remain prime at each stage: 3797, 797, 97, and 7. Similarly we can work from right to left: 3797, 379, 37, and 3.
Problem 38
Take the number 192 and multiply it by each of 1, 2, and 3: