yeland404
- 23
- 0
number theory -- quadratic residues
find all incongruent solutions of each quadratic congruence below.
X^2[itex]\equiv[/itex]23 mod 77
X^2[itex]\equiv[/itex]11 mod 39
it is suffices to X^2[itex]\equiv[/itex]23 mod 7, andX^2[itex]\equiv[/itex]23 mod 11,
then how to do next?
Homework Statement
find all incongruent solutions of each quadratic congruence below.
X^2[itex]\equiv[/itex]23 mod 77
Homework Equations
X^2[itex]\equiv[/itex]11 mod 39
The Attempt at a Solution
it is suffices to X^2[itex]\equiv[/itex]23 mod 7, andX^2[itex]\equiv[/itex]23 mod 11,
then how to do next?