Determine all possible positive integer base(s) T such that:

(111)_T = (aabbcc)₆, where each of a, b and c denotes a different base 6 digit from 0 to 5 and, a is not zero.

Note: Try to solve this problem analytically, although computer program/ spreadsheet solutions are welcome.

(In reply to re: only one by Charlie)

Whenever  I and my instinctive reasoning compete with the allmighty computer- I lose

I  SHOULD HAVE  SLOW DOWN AND RE-CHECK MY REASONING

..............A la prossima volta..........

 

Posted by Ady TZIDON on 2008-10-07 14:03:49