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How to prove that one of $2,3,6$ is a square modulo every prime $p$? [duplicate]
1
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This question already has an answer here:
When is 6 a square in Zp
1 answer
How to prove that one of $2,3,6$ is a square modulo every prime $p$?
I am thinking in terms of quadratic reciprocity but not getting any clue.
number-theory elementary-number-theory algebraic-number-theory
edited Feb 1 at 5:15
YuiTo Cheng
2,3244937
asked Feb 1 at 4:46
GimgimGimgim
34314
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marked as duplicate by Bill Dubuque elementary-number-theory
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Feb 1 at 5:09
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1
$begingroup$
This question already has an answer here:
When is 6 a square in Zp
1 answer
How to prove that one of $2,3,6$ is a square modulo every prime $p$?
I am thinking in terms of quadratic reciprocity but not getting any clue.
number-theory elementary-number-theory algebraic-number-theory
edited Feb 1 at 5:15
YuiTo Cheng
2,3244937
asked Feb 1 at 4:46
GimgimGimgim
34314
$endgroup$
marked as duplicate by Bill Dubuque elementary-number-theory
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Feb 1 at 5:09
This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.
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– Bill Dubuque
Feb 1 at 5:05
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1
1
1
$begingroup$
This question already has an answer here:
When is 6 a square in Zp
1 answer
How to prove that one of $2,3,6$ is a square modulo every prime $p$?
I am thinking in terms of quadratic reciprocity but not getting any clue.
number-theory elementary-number-theory algebraic-number-theory
edited Feb 1 at 5:15
YuiTo Cheng
2,3244937
asked Feb 1 at 4:46
GimgimGimgim
34314
$endgroup$
This question already has an answer here:
When is 6 a square in Zp
1 answer
How to prove that one of $2,3,6$ is a square modulo every prime $p$?
I am thinking in terms of quadratic reciprocity but not getting any clue.
This question already has an answer here:
When is 6 a square in Zp
1 answer
number-theory elementary-number-theory algebraic-number-theory
number-theory elementary-number-theory algebraic-number-theory
edited Feb 1 at 5:15
YuiTo Cheng
2,3244937
asked Feb 1 at 4:46
GimgimGimgim
34314
edited Feb 1 at 5:15
YuiTo Cheng
2,3244937
asked Feb 1 at 4:46
GimgimGimgim
34314
edited Feb 1 at 5:15
YuiTo Cheng
2,3244937
edited Feb 1 at 5:15
YuiTo Cheng
2,3244937
edited Feb 1 at 5:15
YuiTo Cheng
2,3244937
2,3244937
asked Feb 1 at 4:46
GimgimGimgim
34314
asked Feb 1 at 4:46
GimgimGimgim
34314
asked Feb 1 at 4:46
GimgimGimgim
34314
34314
marked as duplicate by Bill Dubuque elementary-number-theory
Users with the elementary-number-theory badge can single-handedly close elementary-number-theory questions as duplicates and reopen them as needed.
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Feb 1 at 5:09
This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.
marked as duplicate by Bill Dubuque elementary-number-theory
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Feb 1 at 5:09
This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.
$begingroup$
See also this answer
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– Bill Dubuque
Feb 1 at 5:05
add a comment |
$begingroup$
See also this answer
$endgroup$
– Bill Dubuque
Feb 1 at 5:05
$begingroup$
See also this answer
$endgroup$
– Bill Dubuque
Feb 1 at 5:05
$begingroup$
See also this answer
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– Bill Dubuque
Feb 1 at 5:05
add a comment |
1 Answer
1
active
oldest
votes
3
$begingroup$
what is
$$ (2|p) (3|p)(6|p) ; ? $$
answered Feb 1 at 4:50
Will JagyWill Jagy
104k5103202
$endgroup$
$begingroup$
Ohh ok $(6|p)=(2|p)(3|p)$ if $p neq 2,3$ then it is always $1$. Thanks
$endgroup$
– Gimgim
Feb 1 at 4:55
add a comment |
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
3
$begingroup$
what is
$$ (2|p) (3|p)(6|p) ; ? $$
answered Feb 1 at 4:50
Will JagyWill Jagy
104k5103202
$endgroup$
$begingroup$
Ohh ok $(6|p)=(2|p)(3|p)$ if $p neq 2,3$ then it is always $1$. Thanks
$endgroup$
– Gimgim
Feb 1 at 4:55
add a comment |
3
$begingroup$
what is
$$ (2|p) (3|p)(6|p) ; ? $$
answered Feb 1 at 4:50
Will JagyWill Jagy
104k5103202
$endgroup$
$begingroup$
Ohh ok $(6|p)=(2|p)(3|p)$ if $p neq 2,3$ then it is always $1$. Thanks
$endgroup$
– Gimgim
Feb 1 at 4:55
add a comment |
3
3
3
$begingroup$
what is
$$ (2|p) (3|p)(6|p) ; ? $$
answered Feb 1 at 4:50
Will JagyWill Jagy
104k5103202
$endgroup$
what is
$$ (2|p) (3|p)(6|p) ; ? $$
answered Feb 1 at 4:50
Will JagyWill Jagy
104k5103202
answered Feb 1 at 4:50
Will JagyWill Jagy
104k5103202
answered Feb 1 at 4:50
Will JagyWill Jagy
104k5103202
answered Feb 1 at 4:50
Will JagyWill Jagy
104k5103202
104k5103202
$begingroup$
Ohh ok $(6|p)=(2|p)(3|p)$ if $p neq 2,3$ then it is always $1$. Thanks
$endgroup$
– Gimgim
Feb 1 at 4:55
add a comment |
$begingroup$
Ohh ok $(6|p)=(2|p)(3|p)$ if $p neq 2,3$ then it is always $1$. Thanks
$endgroup$
– Gimgim
Feb 1 at 4:55
$begingroup$
Ohh ok $(6|p)=(2|p)(3|p)$ if $p neq 2,3$ then it is always $1$. Thanks
$endgroup$
– Gimgim
Feb 1 at 4:55
$begingroup$
Ohh ok $(6|p)=(2|p)(3|p)$ if $p neq 2,3$ then it is always $1$. Thanks
$endgroup$
– Gimgim
Feb 1 at 4:55
add a comment |
$begingroup$
See also this answer
$endgroup$
– Bill Dubuque
Feb 1 at 5:05