perplexus.info :: Probability : (sod(x))^2 = x+2

(sod(x))^2 = x+2 (Posted on 2011-01-26)

Determine the probability that for a base ten positive integer x chosen at random from 1 to 9999 inclusively, this relationship is satisfied: (sod(x))² = x+2, where sod(n) denotes the sum of the digits in the base ten representation of n.

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Subject	Author	Date
a simple proof	Ady TZIDON	2011-01-27 08:23:46
solution using QuickBasic	Charlie	2011-01-26 15:37:33
Solution (Using Excel)	hoodat	2011-01-26 14:38:40

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