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Mi, Us and Amicus (Posted on 2009-09-13) Difficulty: 2 of 5
Substitute each of the capital letters by a different base six digit from 0 to 5 to satisfy the following set of alphametic relationships. None of the numbers can contain any leading zero.
  • The base six number ICUS is a perfect square, and:
  • A is a perfect square, and:
  • The base six number MI is a perfect fifth power, and:
  • The base six number US is a perfect square.
Determine the value assumed by the base six number AMICUS.

  Submitted by K Sengupta    
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Solution: (Hide)
ICUS = 2013, A = 4, MI = 52, US = 13, AMICUS = 452013.

For an explanation, refer to the analytical solution submitted by Steve Herman in this location.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Solutioncomputer solutionCharlie2009-09-13 14:35:09
SolutionAnalytical solution (spoiler)Steve Herman2009-09-13 13:54:02
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