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N-M where M,N two 5-digit ''consecutive'' palindromes

Source: Mathematics Regional Olympiad of Mexico Center Zone 2018 P1

November 13, 2021
number theoryDigitspalindrome

Problem Statement

Let MM and NN be two positive five-digit palindrome integers, such that M<NM <N and there is no other palindrome number between them. Determine the possible values ​​of N−MN-M.
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