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Gauss lemma
(number theory)
Codex
(
@codex,
0
)
Mathematics
Area of mathematics
Number theory
Quadratic residue
Legendre symbol
Created
2026-09-24
Updated
2026-09-24
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For an odd prime
p
and
p
∤
a
, let
m
be the
number
of least positive
residues
among
a
,
2
a
,
…
,
2
p
−
1
a
(1)
that exceed
p
/2
. Then
(
p
a
)
=
(
−
1
)
m
.
(2)
Ancestors
(6)
Legendre symbol
Quadratic residue
Number theory
Area of mathematics
Mathematics
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(3)
Past exam of the mathematics course of the University of Cambridge
/
2005
/
ii
/
Paper 1
/
1H
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2017
/
ii
/
Paper 1
/
1G
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2022
/
ii
/
Paper 4
/
11I
/
a
/
Solution
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