Asked by un

(x+y)(x+z)(y+z)=2017^n
What is the minimum value n of such that there exist positive integers x,y and z satisfying the equation above?

8 years ago

Answered by MathMate

x=y=z=1/2, n=0

8 years ago

Answered by MathMate

Sorry, above is the only (non-integer) solution I could find.

8 years ago

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