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a prime number more than 30

Source: Iranian Third round 2015 - Number theory exam - Problem 5

September 6, 2015
number theoryprime numbers

Problem Statement

p>30p>30 is a prime number. Prove that one of the following numbers is in form of x2+y2x^2+y^2. p+1,2p+1,3p+1,....,(pāˆ’3)p+1 p+1 , 2p+1 , 3p+1 , .... , (p-3)p+1
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