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Contests
National and Regional Contests
Kyrgyzstan Contests
Kyrgyzstan Regional Olympiad
2017 Kyrgyzstan Regional Olympiad
4
4
Part of
2017 Kyrgyzstan Regional Olympiad
Problems
(1)
number theory
Source: kyrgyzstan regional
3/7/2017
Prove that for all n=3,4,5.... there excist odd x,y such
2
n
=
x
2
+
7
y
2
2^n=x^2 + 7y^2
2
n
=
x
2
+
7
y
2
.
number theory