perplexus.info :: Just Math : aaabaaa and perfect square

aaabaaa and perfect square (Posted on 2010-07-10)

Determine all possible 7-digit perfect square(s) (in base 8) having the form aaabaaa, where a is a digit from 1 to 7 and b is a different digit from 0 to 7.

Note: While a solution is trivial with the aid of a computer program, show how to derive it without one.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The only solution is 4441444₈.
For an explanation, refer to the semi-analytic solution submitted by Dej Mar in this location.

Comments: ( You must be logged in to post comments.)

	Subject	Author	Date
	solution (partial analytical deduction)	Dej Mar	2010-07-10 13:41:36

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