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MathNet 2018-part-05 — 181 problems (EN–VI) Question 74

Math Olympiad Vault · MathNet 2018-part-05 — 181 problems (EN–VI)

Question 74

Let $M$ and $N$ be two nine-digit palindromes without leading zeros (a palindrome is a number that reads the same backward as forward) such that $M \lt N$ and there are no other nine-digit palindromes strictly between $M$ and $N$. What are all possible values of $N - M$?