MathDB

4

Part of 2007 Junior Balkan MO

Problems(1)

prime number implies non-square number

Source: JBMO 2007, Bulgaria, problem 4

6/28/2007
Prove that if p p is a prime number, then 7p+3pāˆ’4 7p+3^{p}-4 is not a perfect square.
quadraticsmodular arithmeticnumber theorynumber theory proposed