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Sum of two squares theorem
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Mathematics
Fields of mathematics
Number theory
Squares in number theory
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The Sum of Two
Squares
Theorem
states that
a
positive
integer
\(
n
\) can be expressed
as
a
sum of two
squares
(
i
.e., \(
n
=
a
^
2
+
b
^
2
\) for some
integers
\(
a
\) and \(
b
\)) if and only if in its prime
factorization
, every prime
of the form
\( 4k +
3
\) appears with an even exponent.
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Squares in number theory
Number theory
Fields of mathematics
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Sum of two squares theorem
by
Ciro Santilli
37
Updated
2025-07-16
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