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 Mi, Us and Amicus (Posted on 2009-09-13)
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 No Rating 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.

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 Subject Author Date computer solution Charlie 2009-09-13 14:35:09 Analytical solution (spoiler) Steve Herman 2009-09-13 13:54:02

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