A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 4 years ago
Here is one from number theory...
Prove that there are infinitely many primes.....
anonymous
 4 years ago
Here is one from number theory... Prove that there are infinitely many primes.....

This Question is Closed

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.04p+3 will be a prime for all prime p lets assume p is the last prime then 4p+3 is also a prime this contradicts our assumption hence there are infinitly many primes

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0but how can u tell that 4p+3 is a prime?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0as p is prime 4p is multiple of 1,2 4,p if you add three nothing factors out so it is a prime

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0as for me, i've heard of these proofs: Euclid's Proof (c. 300 BC) Furstenberg's Topological Proof (1955) Goldbach's Proof (1730) Kummer's Restatement of Euclid's Proof Filip Saidak's Proof (2005)

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0http://openstudy.com/study#/updates/4f29d875e4b049df4e9df1b3

phi
 4 years ago
Best ResponseYou've already chosen the best response.24*13+3 = 55 which is composite to do your proof, you must create the number formed by multiplying ALL primes less than or equal the presumed last prime. then add 1. this number will be divisible by all smaller primes, but with a remainder of 1. So there must be a bigger prime than the presumed last prime.
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.