- #1

yeland404

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**number theory -- quadratic residues**

## 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?