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.

Answers:

**121=11111 in base 3**

**151=12121 in base 3**

A D1 puzzle - after trying 2-digit decimal numbers like 11,22 etc

the first two i.e. 121 fits and a little bit later 151

Edited: I have 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.

**Will not happen again** - I am going to slow down and recheck my posts prior to publishing.

*Edited on ***September 19, 2014, 1:21 pm**