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.
(In reply to re: solution
I have just corrected a typo - initially wrote 111 (from memory) instead of 121. The puzzle was solved within less than 3 minutes using a base conversion applet which gives you instant output in 16 bases after you enter a number in any base - try it.
That was done on my android - couple of days ago.
Later I wrote the result, -which I "remembered" with one bit error.
Hope to make it a habit - not to publish any version prior to final checking.