All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Just Math
Prime Time Revisited (Posted on 2004-10-22) Difficulty: 2 of 5
Do there exist three 2-digit primes such that:
  • Any two of the three, averaged, produce another prime, and
  • The average of all three is prime

See The Solution Submitted by SilverKnight    
Rating: 2.6250 (8 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Arithmetic progression | Comment 10 of 17 |
If the requirement that the primes are all two digit nimbers is removed, then it is easy to see that any arithmetic sequence of five primes contains three primes which meet the remaining two requirements.
  Posted by Brian Smith on 2004-10-22 22:23:00
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (10)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information