Use Dirichlet’s theorem, which states there are infinitely

Chapter 5, Problem 17E

(choose chapter or problem)

Get Unlimited Answers
QUESTION:

Problem 17E

Use Dirichlet’s theorem, which states there are infinitely many primes in every arithmetic progression ak + b where gcd(a, b) = 1, to show that there are infinitely many primes that have a decimal expansion ending with a 1.

Questions & Answers

QUESTION:

Problem 17E

Use Dirichlet’s theorem, which states there are infinitely many primes in every arithmetic progression ak + b where gcd(a, b) = 1, to show that there are infinitely many primes that have a decimal expansion ending with a 1.

ANSWER:

Solution:

Step 1

In this problem we are asked to show that there are infinitely many prime numbers having

decimal expansion ending in a 1, using Dirichlet’s theorem.

Add to cart


Study Tools You Might Need

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back