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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.

No Solution Yet Submitted by K Sengupta    
Rating: 4.0000 (1 votes)

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Solution solution | Comment 1 of 6
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
  Posted by Ady TZIDON on 2014-09-17 13:36:52

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