MathDB
Number theory

Source: AUMO 2011

January 27, 2016
number theoryprime numbers

Problem Statement

Let m,nm,n positive integers and pp prime number with p=3k+2p=3k+2. If p∣(m+n)2−mnp \mid {(m+n)^2-mn} , prove that
p∣m,np \mid m,n
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