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4
R 4
R 4
Source:
May 25, 2007
modular arithmetic
LaTeX
The Geometry of Numbers
Problem Statement
The sidelengths of a polygon with
1994
1994
1994
sides are
a
i
=
i
2
+
4
a_{i}=\sqrt{i^2 +4}
a
i
=
i
2
+
4
(
i
=
1
,
2
,
⋯
,
1994
)
\; (i=1,2,\cdots,1994)
(
i
=
1
,
2
,
⋯
,
1994
)
. Prove that its vertices are not all on lattice points.
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