MathDB
m + n\sqrt2 = (1 +\sqrt2 )^{2010}

Source: Chile Finals 2010 L2 p4

October 5, 2022
number theoryalgebra

Problem Statement

Let m,nm, n integers such that satisfy m+n2=(1+2)2010.m + n\sqrt2 = \left(1 +\sqrt2\right)^{2010} . Find the remainder that is obtained when dividing nn by 55.
Back to ProblemsView on AoPS