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1940 Moscow Mathematical Olympiad
065
MMO 065 Moscow MO 1940 x^2 + y^2 is divisible by 7
MMO 065 Moscow MO 1940 x^2 + y^2 is divisible by 7
Source:
July 18, 2019
divisible
number theory
Problem Statement
How many pairs of integers
x
,
y
x, y
x
,
y
are there between
1
1
1
and
1000
1000
1000
such that
x
2
+
y
2
x^2 + y^2
x
2
+
y
2
is divisible by
7
7
7
?
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