MathDB

N8

Part of 2012 IMO Shortlist

Problems(1)

IMO Shortlist 2012, Number Theory 8

Source: IMO Shortlist 2012, Number Theory 8

7/26/2013
Prove that for every prime p>100p>100 and every integer rr, there exist two integers aa and bb such that pp divides a2+b5āˆ’ra^2+b^5-r.
Gaussmodular arithmeticnumber theoryDivisibilityprimeIMO Shortlist