MathDB

7

Part of 2009 Baltic Way

Problems(1)

Baltic way 2009 /7

Source:

5/3/2010
Suppose that for a prime number pp and integers a,b,ca,b,c the following holds: 6\mid p+1,  p\mid a+b+c,  p\mid a^4+b^4+c^4. Prove that p∣a,b,cp\mid a,b,c.
quadraticsmodular arithmeticnumber theory unsolvednumber theory