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Fermat's theorem on sums of two squares
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Mathematics
Fields of mathematics
Number theory
Squares in number theory
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Fermat's theorem
on sums of two
squares
states that an odd
prime number
\(
p
\) can be expressed
as
the sum of two
squares
(
i
.e., there exist
integers
\(
x
\) and \(
y
\) such that \(
p
=
x
^
2
+
y
^
2
\)) if and only if \(
p
\equiv
1
\mod
4
\) or \(
p
=
2 \)
.
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Squares in number theory
Number theory
Fields of mathematics
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