MathDB

3

Part of 2010 Bosnia And Herzegovina - Regional Olympiad

Problems(2)

Regional Olympiad - FBH 2010 Grade 9 Problem 3

Source: Regional Olympiad - Federation of Bosnia and Herzegovina 2010

9/27/2018
If aa and bb are positive integers such that ab∣a2+b2ab \mid a^2+b^2 prove that a=ba=b
number theoryDivisibility
Regional Olympiad - FBH 2010 Grade 11 Problem 3

Source: Regional Olympiad - Federation of Bosnia and Herzegovina 2010

9/27/2018
Let nn be an odd positive integer bigger than 11. Prove that 3n+13^n+1 is not divisible with nn
number theoryDivisibilityodd