RU-SPB 2019 Problem 91
- Grade 9
A natural number is called a palindrome if it is read in the same way. from left to right and from right to left (in particular, the last digit of the palindrome coincides with the first and therefore not equal to zero). Squares of two different natural numbers have digits. Prove that strictly between these squares, there is one palindrome.
Dataset text AI-MO AoPS. Quoted with source.
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