## S02 Three ways to reach a Diophantine equation

January 22, 2008 by compactorange

02. **PEN H15** (Balkan Mathematical Olympiad 1998) Prove that there are no integers and satisfying .

Here is the official solution file: PEN02S

You can also disscuss the problems here!

**Acknowledgement.** We would like to express our gratitude to Andrei Frimu who proofreaded the manuscript.

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on June 17, 2008 at 1:10 pm |JohanThere is a typo.

“when a is odd is impossible”

(second solution line 2). It should be “when a is even is impossible”.