Lor
2023 AIME II
Problem 2
Recall that a palindrome is a number that reads the same forward and backward. Find the greatest integer less than 
that is a palindrome both when written in base ten and when written in base eight, such as 
N = number of digits of answer in base 8
999 in base 10 = 1747 in base 8
Consider first the case that N=4 then
aba in base 10 = 1cc1 in base 8
Prove that a is odd and check a=9 then 7….
Solution