Solution Found!
Use Dirichlet’s theorem, which states there are infinitely
Chapter 5, Problem 17E(choose chapter or problem)
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.