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27
2017 Guts #27: Computational number theory
2017 Guts #27: Computational number theory
Source:
February 21, 2017
number theory
Problem Statement
Find the smallest possible value of
x
+
y
x + y
x
+
y
where
x
,
y
≥
1
x, y \ge 1
x
,
y
≥
1
and
x
x
x
and
y
y
y
are integers that satisfy
x
2
−
29
y
2
=
1
x^2 - 29y^2 = 1
x
2
−
29
y
2
=
1
.
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