MathDB

2018 Combinatorics #2

Source:

February 12, 2018

Problem Statement

Let

a<b

be five-digit palindromes (without leading zeroes) such that there is no other five-digit palindrome strictly between

a

and

b

. What are all possible values of

b-a

? (A number is a palindrome if it reads the same forwards and backwards in base

10