Determine the smallest value of a positive integer N such that N is a palindrome in both base 3 and base 10. What is the next smallest value of N having this property?

*** N must have more than one digit in any base. So, trivial solutions like (4)_{base 10} or, (8)_{base 10} are not permissible.

A007633

                    Palindromic in bases 3 and 10.
(Formerly M1164) <

0, 1, 2, 4, 8, 121, 151, 212, 242, 484, 656, 757, 29092, 48884, 74647, 75457, 76267, 92929, 93739, 848848, 1521251, 2985892, 4022204, 4219124, 4251524, 4287824, 5737375, 7875787, 7949497, 27711772, 83155138, 112969211, 123464321 

 

1. I wanted to suggest that you submit your findings to OEIS,  but apparently someone already did it. <p>

Edited on September 18, 2014, 12:05 am

Posted by Ady TZIDON on 2014-09-18 00:01:43