Determine the values of 47/37 and 3/43 stating any properties of the legendre symbol used. is there just one method to solve all of these or are there different methods to solve depending on the numbers.
Follow Math Help Forum on Facebook and Google+
Originally Posted by Rakesh 47/37 ---> Congruence ---> Multiplicative because . ---> Quadradic Reciprocity ---> Congruence because . Thus, .
Originally Posted by ThePerfectHacker because . Thus, . Shouldnt the above read like this? because . Thus, .
Originally Posted by Isomorphism Shouldnt the above read like this? because . Thus, . That's what I thought, because and therefore not 5. Also by Quadratic Reciprocity as 2 is clearly not a square mod 5
Originally Posted by Isomorphism Shouldnt the above read like this? because . Thus, . Originally Posted by jtsab That's what I thought, because and therefore not 5. Also by Quadratic Reciprocity as 2 is clearly not a square mod 5 Yes. It is exactly how Isomorphism said it should be.
View Tag Cloud