Purchase Solution

Congruence proof

Not what you're looking for?

Ask Custom Question

Please provide a detailed solution to the following problem:

Let p be an odd prime and a such that (a, p) = 1. Show that the equation

x^2 = a (mod p^i)

has a solution for all i if it has a solution for i = 1. How many solutions are there?

Purchase this Solution

Solution Summary

This provides a proof for a given congruence problem.

Purchase this Solution

Free BrainMass Quizzes
Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.