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Part of 2018 Regional Olympiad of Mexico Center Zone

Problems(1)

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

Source: Mathematics Regional Olympiad of Mexico Center Zone 2018 P1

M

N

be two positive five-digit palindrome integers, such that

M <N

and there is no other palindrome number between them. Determine the possible values of

N-M

number theoryDigitspalindrome