MathDB
base eighthgie esab

Source: 2023 AIME II Problem #2

February 16, 2023
AMCAIMEAIME II

Problem Statement

Recall that a palindrome is a number that reads the same forward and backward. Find the greatest integer less than 10001000 that is a palindrome both when written in base ten and when written in base eight, such as 292=444eight292=444_{\text{eight}}.