MathDB
Romania District Olympiad 2001 - VII Grade

Source:

March 12, 2011
number theory proposednumber theory

Problem Statement

Consider the number n=123456789101112…99100101n=123456789101112\ldots 99100101.
a)Find the first three digits of the number n\sqrt{n}. b)Compute the sum of the digits of nn. c)Prove that n\sqrt{n} isn't rational.
Valer Pop
Back to ProblemsView on AoPS