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Kürschák Math Competition
1969 Kurschak Competition
1
1
Part of
1969 Kurschak Competition
Problems
(1)
2 + 2\sqrt{28n^2 + 1} is sqaure if it is an integer
Source: 1969 Hungary - Kürschák Competition p1
10/11/2022
Show that if
2
+
2
28
n
2
+
1
2 + 2\sqrt{28n^2 + 1}
2
+
2
28
n
2
+
1
is an integer, then it is a square (for
n
n
n
an integer).
number theory
Integer
Perfect Square