perplexus.info :: Just Math : Positively Palindromic

Positively Palindromic (Posted on 2014-04-06)

Determine the smallest positive integer each of whose base 6, base 8 and base 9 representations is a palindrome.

*** Any solution must contain more than one digit in any given base. So, trivial solutions like (2)_{base 8} or, (7)_{base 9} are not allowed.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The required answer in base ten is 154 where the respective base 6, base 8, and base 9 representations are:
414, 232, and 181
For an explanation, refer to the Computer Program assisted solution submitted by Charlie in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
solution	Charlie	2014-04-06 20:50:04
answer	Benny	2014-04-06 19:52:24

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