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BdMO Online Forum • View topic - IMO 2015 - Problem 2

IMO 2015 - Problem 2

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IMO 2015 - Problem 2

Post Number:#1  Unread postby Nirjhor » Wed Jul 15, 2015 1:47 am

Find all unordered positive integer triples $(a,b,c)$ such that $ab-c,~bc-a,~ca-b$ are all powers of $2$.

Proposed by Serbia.
- What is the value of the contour integral around Western Europe?

- Zero.

- Why?

- Because all the poles are in Eastern Europe.


Revive the IMO marathon.
Nirjhor
 
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