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MathNet 2018-part-07 — 177 problems (EN–VI) Question 24

Math Olympiad Vault · MathNet 2018-part-07 — 177 problems (EN–VI)

Question 24

Let $a$ and $b$ be five-digit palindromes (without leading zeroes) such that $a \lt b$ and there are no other five-digit palindromes 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.)