Purchase Solution

NonNegative Residue-Modulo

Not what you're looking for?

Ask Custom Question

Could you please help explain these problems?:

16. Find the least non-negative residue of:
(i) 5^18 mod 11;
(ii) 4^47mod 12;

28. Show that 11 divides 10a+b if and only if 11 divide a - b. Use this to show that 11 divides 232595.

30. Find the lease non-negative residues mod 7, 11 and 13 of 58473625.

Purchase this Solution

Solution Summary

In this solution we solve several problems in modular arithmetic.

Solution Preview

** Please see the attachment for the complete solution **
16. We wish to find the following least nonnegative residues:
(please see the attached file)
(i)
(please see the attached file)

We have:
(please see the attached file)

where we used the fact that (please see the attached file), due to Fermat's little ...

Purchase this Solution


Free BrainMass Quizzes
Multiplying Complex Numbers

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

Probability Quiz

Some questions on probability

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.

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts