03-10-2023, 08:42 PM
I wonder if it's true that a palindromic number to any base N with an even number of digits is divisible by N+1.
Hexadecimal say 1AA1 (6817 dec) is divisible by 11 (hex) 17(dec). So just like in decimal 11 is the only even digit number palindrome that is prime. I guess for an odd number base it may not be true, but I can't be bothered to check.
Hexadecimal say 1AA1 (6817 dec) is divisible by 11 (hex) 17(dec). So just like in decimal 11 is the only even digit number palindrome that is prime. I guess for an odd number base it may not be true, but I can't be bothered to check.