How to use chinese remainder theorem to calculate k%m where m is not prime?
0
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How to use Chinese Remainder Theorem for solving a%m when m is not prime,
actually i have to solve a^b %m but i know it for prime numbers,but how to solve using decomposing m into prime powers and then recombining the solution.
number-theory
asked Jan 2 at 3:08
Navneet HingankarNavneet Hingankar
123
$endgroup$
add a comment |
0
$begingroup$
How to use Chinese Remainder Theorem for solving a%m when m is not prime,
actually i have to solve a^b %m but i know it for prime numbers,but how to solve using decomposing m into prime powers and then recombining the solution.
number-theory
asked Jan 2 at 3:08
Navneet HingankarNavneet Hingankar
123
$endgroup$
$begingroup$
Please give the specific problem you are trying to solve.
$endgroup$
– saulspatz
Jan 2 at 5:46
$begingroup$
I think that you need to see the proof of that theorem for your application. Otherwise, it seems like a homework you want not to do
$endgroup$
– José Alejandro Aburto Araneda
Jan 2 at 12:54
$begingroup$
the questions is (a^b % 9) but how to solve it using prime powers i.e,a^b%3^2,i have looked up a lot but not getting all that one place hence i am bit confused
$endgroup$
– Navneet Hingankar
Jan 2 at 16:04
$begingroup$
@NavneetHingankar You know how to calculate the residue for prime powers and you know and understand the chinese remainder theorem, if I understand right. Where is the problem then ?
$endgroup$
– Peter
Jan 5 at 9:32
add a comment |
0
0
0
$begingroup$
How to use Chinese Remainder Theorem for solving a%m when m is not prime,
actually i have to solve a^b %m but i know it for prime numbers,but how to solve using decomposing m into prime powers and then recombining the solution.
number-theory
asked Jan 2 at 3:08
Navneet HingankarNavneet Hingankar
123
$endgroup$
How to use Chinese Remainder Theorem for solving a%m when m is not prime,
actually i have to solve a^b %m but i know it for prime numbers,but how to solve using decomposing m into prime powers and then recombining the solution.
number-theory
number-theory
asked Jan 2 at 3:08
Navneet HingankarNavneet Hingankar
123
asked Jan 2 at 3:08
Navneet HingankarNavneet Hingankar
123
asked Jan 2 at 3:08
Navneet HingankarNavneet Hingankar
123
asked Jan 2 at 3:08
Navneet HingankarNavneet Hingankar
123
asked Jan 2 at 3:08
Navneet HingankarNavneet Hingankar
123
123
$begingroup$
Please give the specific problem you are trying to solve.
$endgroup$
– saulspatz
Jan 2 at 5:46
$begingroup$
I think that you need to see the proof of that theorem for your application. Otherwise, it seems like a homework you want not to do
$endgroup$
– José Alejandro Aburto Araneda
Jan 2 at 12:54
$begingroup$
the questions is (a^b % 9) but how to solve it using prime powers i.e,a^b%3^2,i have looked up a lot but not getting all that one place hence i am bit confused
$endgroup$
– Navneet Hingankar
Jan 2 at 16:04
$begingroup$
@NavneetHingankar You know how to calculate the residue for prime powers and you know and understand the chinese remainder theorem, if I understand right. Where is the problem then ?
$endgroup$
– Peter
Jan 5 at 9:32
add a comment |
$begingroup$
Please give the specific problem you are trying to solve.
$endgroup$
– saulspatz
Jan 2 at 5:46
$begingroup$
I think that you need to see the proof of that theorem for your application. Otherwise, it seems like a homework you want not to do
$endgroup$
– José Alejandro Aburto Araneda
Jan 2 at 12:54
$begingroup$
the questions is (a^b % 9) but how to solve it using prime powers i.e,a^b%3^2,i have looked up a lot but not getting all that one place hence i am bit confused
$endgroup$
– Navneet Hingankar
Jan 2 at 16:04
$begingroup$
@NavneetHingankar You know how to calculate the residue for prime powers and you know and understand the chinese remainder theorem, if I understand right. Where is the problem then ?
$endgroup$
– Peter
Jan 5 at 9:32
$begingroup$
Please give the specific problem you are trying to solve.
$endgroup$
– saulspatz
Jan 2 at 5:46
$begingroup$
Please give the specific problem you are trying to solve.
$endgroup$
– saulspatz
Jan 2 at 5:46
$begingroup$
I think that you need to see the proof of that theorem for your application. Otherwise, it seems like a homework you want not to do
$endgroup$
– José Alejandro Aburto Araneda
Jan 2 at 12:54
$begingroup$
I think that you need to see the proof of that theorem for your application. Otherwise, it seems like a homework you want not to do
$endgroup$
– José Alejandro Aburto Araneda
Jan 2 at 12:54
$begingroup$
the questions is (a^b % 9) but how to solve it using prime powers i.e,a^b%3^2,i have looked up a lot but not getting all that one place hence i am bit confused
$endgroup$
– Navneet Hingankar
Jan 2 at 16:04
$begingroup$
the questions is (a^b % 9) but how to solve it using prime powers i.e,a^b%3^2,i have looked up a lot but not getting all that one place hence i am bit confused
$endgroup$
– Navneet Hingankar
Jan 2 at 16:04
$begingroup$
@NavneetHingankar You know how to calculate the residue for prime powers and you know and understand the chinese remainder theorem, if I understand right. Where is the problem then ?
$endgroup$
– Peter
Jan 5 at 9:32
$begingroup$
@NavneetHingankar You know how to calculate the residue for prime powers and you know and understand the chinese remainder theorem, if I understand right. Where is the problem then ?
$endgroup$
– Peter
Jan 5 at 9:32
add a comment |
0
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$begingroup$
Please give the specific problem you are trying to solve.
$endgroup$
– saulspatz
Jan 2 at 5:46
$begingroup$
I think that you need to see the proof of that theorem for your application. Otherwise, it seems like a homework you want not to do
$endgroup$
– José Alejandro Aburto Araneda
Jan 2 at 12:54
$begingroup$
the questions is (a^b % 9) but how to solve it using prime powers i.e,a^b%3^2,i have looked up a lot but not getting all that one place hence i am bit confused
$endgroup$
– Navneet Hingankar
Jan 2 at 16:04
$begingroup$
@NavneetHingankar You know how to calculate the residue for prime powers and you know and understand the chinese remainder theorem, if I understand right. Where is the problem then ?
$endgroup$
– Peter
Jan 5 at 9:32