Find a congruence condition that determines whether $5$ is a square modulo $p$
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Let $pnotin{2,5}$ be prime. How can I find a congruence condition that determines whether $5$ is a square modulo $p$?
number-theory quadratic-residues
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add a comment |
$begingroup$
Let $pnotin{2,5}$ be prime. How can I find a congruence condition that determines whether $5$ is a square modulo $p$?
number-theory quadratic-residues
$endgroup$
3
$begingroup$
Using quadratic reciprocity.
$endgroup$
– Arturo Magidin
Dec 9 '18 at 5:20
add a comment |
$begingroup$
Let $pnotin{2,5}$ be prime. How can I find a congruence condition that determines whether $5$ is a square modulo $p$?
number-theory quadratic-residues
$endgroup$
Let $pnotin{2,5}$ be prime. How can I find a congruence condition that determines whether $5$ is a square modulo $p$?
number-theory quadratic-residues
number-theory quadratic-residues
edited Dec 9 '18 at 5:42
Brahadeesh
6,24242361
6,24242361
asked Dec 9 '18 at 5:15
Jingting931015Jingting931015
828
828
3
$begingroup$
Using quadratic reciprocity.
$endgroup$
– Arturo Magidin
Dec 9 '18 at 5:20
add a comment |
3
$begingroup$
Using quadratic reciprocity.
$endgroup$
– Arturo Magidin
Dec 9 '18 at 5:20
3
3
$begingroup$
Using quadratic reciprocity.
$endgroup$
– Arturo Magidin
Dec 9 '18 at 5:20
$begingroup$
Using quadratic reciprocity.
$endgroup$
– Arturo Magidin
Dec 9 '18 at 5:20
add a comment |
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3
$begingroup$
Using quadratic reciprocity.
$endgroup$
– Arturo Magidin
Dec 9 '18 at 5:20