Show how to find a number that is a b-palindrome, of at least three digits, for at least 1000 different values of b.

For example, 200 is not a 10-palindrome, but it is a 9-palindrome (242) and a 7-palindrome (404).

Take factorials, and add one. Now test to see how many values in the range sqrt(x/2) to sqrt(x) that x mod (the value) equals 1.