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2013 UMO Problems/Problem 3

Revision as of 03:37, 14 October 2014 by Timneh (talk | contribs) (Created page with "== Problem == Find all <math>x</math> with <math>1 \le x \le 999</math> such that the last three digits of <math>x^2</math> are all equal to the same nonzero digit. == Solution...")
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Problem

Find all $x$ with $1 \le x \le 999$ such that the last three digits of $x^2$ are all equal to the same nonzero digit.

Solution

See Also

2013 UMO (Problems • Answer Key • Resources)
Preceded by
Problem 2 		Followed by
Problem 4
1 • 2 • 3 • 4 • 5 • 6
All UMO Problems and Solutions
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