MathDB

3.2

Part of MathLinks Contest 7th

Problems(1)

0732

Source:

5/12/2008
Prove that for positive integers x,y,z x,y,z the number x^2 \plus{} y^2 \plus{} z^2 is not divisible by 3(xy \plus{} yz \plus{} zx).
quadraticsgeometrymodular arithmeticnumber theoryrelatively primeprime factorization