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Simultaneous Base Baffle (Posted on 2014-09-17) Difficulty: 3 of 5
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.

See The Solution Submitted by K Sengupta    
Rating: 4.5000 (2 votes)

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Some Thoughts re(2): solution, ....thanks Charlie | Comment 4 of 6 |
(In reply to re: solution by Charlie)


Thanks, Charlie
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.

  Posted by Ady TZIDON on 2014-09-17 23:53:12
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