2014 UMO Problems/Problem 2

Revision as of 15:29, 14 October 2014 by Timneh (talk | contribs) (See Also)

Problem

(a) Find all positive integers $x$ and $y$ that satisfy \[x^2+y^2 = 2014,\] or prove that there are no solutions.


(b) Find all positive integers $x$ and $y$ that satisfy \[x^2 + y^2 = 3222014,\] or prove that there are no solutions.

Solution

See Also

2014 UMO (ProblemsAnswer KeyResources)
Preceded by
Problem 1
Followed by
Problem 3
1 2 3 4 5 6
All UMO Problems and Solutions
Invalid username
Login to AoPS