About the prime divisor of a quadratic function
$begingroup$
Encountered in Modell's book Diophantine Equations.
In the second chapter, page 3, it says:
'every prime divisor of $p$ of $x^2-a$ for integer $x$ is either a divisor of $a$, or can be represented by a finite number of arithmetic progressions.' Where $x$ and $a$ mentioned should be considered as positive integers.
I don't quite get this claim, I am not even sure about whether the $x$ mentioned is a variable or constant, either doesn't make sense to me though.
Could somebody kindly explain this to me?
number-theory prime-numbers terminology divisibility quadratic-residues
edited Dec 22 '18 at 11:57
Shaun
9,241113684
asked Dec 22 '18 at 4:06
cxzcxz
1446
$endgroup$
add a comment |
$begingroup$
Encountered in Modell's book Diophantine Equations.
In the second chapter, page 3, it says:
'every prime divisor of $p$ of $x^2-a$ for integer $x$ is either a divisor of $a$, or can be represented by a finite number of arithmetic progressions.' Where $x$ and $a$ mentioned should be considered as positive integers.
I don't quite get this claim, I am not even sure about whether the $x$ mentioned is a variable or constant, either doesn't make sense to me though.
Could somebody kindly explain this to me?
number-theory prime-numbers terminology divisibility quadratic-residues
edited Dec 22 '18 at 11:57
Shaun
9,241113684
asked Dec 22 '18 at 4:06
cxzcxz
1446
$endgroup$
add a comment |
$begingroup$
Encountered in Modell's book Diophantine Equations.
In the second chapter, page 3, it says:
'every prime divisor of $p$ of $x^2-a$ for integer $x$ is either a divisor of $a$, or can be represented by a finite number of arithmetic progressions.' Where $x$ and $a$ mentioned should be considered as positive integers.
I don't quite get this claim, I am not even sure about whether the $x$ mentioned is a variable or constant, either doesn't make sense to me though.
Could somebody kindly explain this to me?
number-theory prime-numbers terminology divisibility quadratic-residues
edited Dec 22 '18 at 11:57
Shaun
9,241113684
asked Dec 22 '18 at 4:06
cxzcxz
1446
$endgroup$
Encountered in Modell's book Diophantine Equations.
In the second chapter, page 3, it says:
'every prime divisor of $p$ of $x^2-a$ for integer $x$ is either a divisor of $a$, or can be represented by a finite number of arithmetic progressions.' Where $x$ and $a$ mentioned should be considered as positive integers.
I don't quite get this claim, I am not even sure about whether the $x$ mentioned is a variable or constant, either doesn't make sense to me though.
Could somebody kindly explain this to me?
number-theory prime-numbers terminology divisibility quadratic-residues
number-theory prime-numbers terminology divisibility quadratic-residues
edited Dec 22 '18 at 11:57
Shaun
9,241113684
asked Dec 22 '18 at 4:06
cxzcxz
1446
edited Dec 22 '18 at 11:57
Shaun
9,241113684
asked Dec 22 '18 at 4:06
cxzcxz
1446
edited Dec 22 '18 at 11:57
Shaun
9,241113684
edited Dec 22 '18 at 11:57
Shaun
9,241113684
edited Dec 22 '18 at 11:57
Shaun
9,241113684
9,241113684
asked Dec 22 '18 at 4:06
cxzcxz
1446
asked Dec 22 '18 at 4:06
cxzcxz
1446
asked Dec 22 '18 at 4:06
cxzcxz
1446
1446
add a comment |
add a comment |
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