OurBigBook
About
$
Donate
Sign in
Sign up
Sum of two squares theorem
Ciro Santilli
(
@cirosantilli,
37
)
...
Diophantine equation
Additive number theory
Additive basis
Additive basis theorem
Waring's problem
Waring's problem for squares
Updated
2025-07-16
0
Like
1 By others
on same topic
0 Discussions
Create my own version
Ancestors
(14)
Waring's problem for squares
Waring's problem
Additive basis theorem
Additive basis
Additive number theory
Diophantine equation
Polynomial
Numeric function
Function by signature
Function (mathematics)
Formalization of mathematics
Area of mathematics
Mathematics
Home
View article source
Discussion
(0)
Subscribe (1)
New discussion
There are no discussions about this article yet.
Articles by others on the same topic
(1)
Show body
Body
0
Sum of two squares theorem
by
Wikipedia Bot
0
View more
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.
See all articles in the same topic
Create my own version