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Three neighbours (Posted on 2013-03-08) Difficulty: 3 of 5
There are three consecutive numbers, each one's base 3 representation ending with its base 7 representation.
Find such triplet(s?).

No Solution Yet Submitted by Ady TZIDON    
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re: an answer | Comment 2 of 3 |
(In reply to an answer by Dej Mar)

A program confirms that no other such numbers exist up through 10,000,000, and it gets more and more unlikely that any given number will satisfy as the large number of digits gives increasing likelihood that the base-7 number will contain digits not even present in the base-3 system.

Edited on March 8, 2013, 9:41 pm
  Posted by Charlie on 2013-03-08 21:38:46

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