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sod(square) - number = 2 (Posted on 2010-09-27) Difficulty: 3 of 5
(I) Determine all possible values of a base-10 positive integer x such that:
sod(x2) - x = 2, where sod(n) denotes the sum of the digits in the base-10 representation of n.

(II) Determine all possible values of a base-11 positive integer y such that:
sod(y2) - y = 2, where sod(n) denotes the sum of the digits in the base-11 representation of n.

In each of (I) and (II) prove that these are the only respective valid value(s) corresponding to x and y.

No Solution Yet Submitted by K Sengupta    
Rating: 2.0000 (1 votes)

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  Subject Author Date
Solutioncomputer assisted solutionCharlie2010-09-27 16:05:02
Some ThoughtsSome numbers satisfying Part (1)Vishal Gupta2010-09-27 16:04:13
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