5-digit panlindrome product numbers
Source: Dutch NMO 2009 p1
September 6, 2019
number theorypalindromesProduct
Problem Statement
In this problem, we consider integers consisting of digits, of which the rst and last one are nonzero. We say that such an integer is a palindromic product if it satis es the following two conditions:
- the integer is a palindrome, (i.e. it doesn't matter if you read it from left to right, or the other way around);
- the integer is a product of two positive integers, of which the fi rst, when read from left to right, is equal to the second, when read from right to left, like and .
For example, is a palindromic product, since , and itself is a palindrome.
Determine all palindromic products of digits.