1 palindrome between 2 squares of numbers with 1001 digits
Source: St. Petersburg 2019 9.1
May 2, 2019
number theorypalindromesDigits
Problem Statement
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.