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Consecutive Base Baffle (Posted on 2013-12-04) Difficulty: 3 of 5
Determine the smallest positive integer which is a palindrome in precisely 3 consecutive bases (excluding base 10). What are the next two smallest positive integers with this property?

*** Any solution must have more than one digit in any given base. So, trivial solutions like (0)base 3, (2)base 5 or, (C)base 14 are not allowed.

*** "Excluding base 10" means that the sequence of bases 9,11,12 for example, does not count as a possibility and, the bases have to be truly consecutive and all be on one side or the other of 10.

No Solution Yet Submitted by K Sengupta    
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  Subject Author Date
Some Thoughtsre(3): computer solutionAdy TZIDON2013-12-05 03:48:13
re(2): computer solutionbroll2013-12-05 02:51:14
re: computer solutionJer2013-12-04 18:27:49
Solutioncomputer solutionCharlie2013-12-04 17:56:33
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