LOGIN/REGISTER
Please Wait...
It is currently Sep 02, 2010, 11:30 am
Post new topic Reply to topic  Page 1 of 1
  [ 3 posts ]  Share: Facebook
Author Message
makar
Riemann Hypothesis
User avatar

Posts: 277
Location: India
India
Post Posted: Sep 13, 2009, 1:24 pm • # 1 


Prove that there are infinitely many positive integers n such that n(n+1) can be represented as a sum of two positive squares in at least two different ways. (Here a^{2}+b^{2} and b^{2}+a^{2} are considered as the same representation.)
 
 
makar
Riemann Hypothesis
User avatar

Posts: 277
Location: India
India
Post Posted: Sep 14, 2009, 12:45 am • # 2 


http://www.artofproblemsolving.com/viewtopic.php?s ... 2&t=122895
 
 
makar
Riemann Hypothesis
User avatar

Posts: 277
Location: India
India
Post Posted: Sep 14, 2009, 7:03 am • # 3 


http://www.artofproblemsolving.com/viewtopic.php?p=695192#695192
 
 
Display posts from previous:  Sort by  
  Share on Facebook Previous topic | Next topic 

Community » Olympiad Section » Number Theory » Number Theory Unsolved Problems

All times are UTC - 8 hours [ DST ]
Share: Facebook

Moderators: MithsApprentice, N.T.TUAN, Peter, darij grinberg, orl, pbornsztein, freemind, Megus, amfulger, harazi, ZetaX, Arne, High School Olympiad Moderators

Post new topic Reply to topic  Page 1 of 1
  [ 3 posts ] 

Login
Username:   Password:   Log me on automatically each visit  

You cannot post new topics in this forum
You cannot reply to topics in this forum
You cannot edit your posts in this forum
You cannot delete your posts in this forum
You cannot post attachments in this forum

Online School
Learn math and problem solving from the best, with the best. Many classes covering different subjects and skill levels.
Learn LaTeX
Make your mathematical writing look like a pro's. Visit the AoPS LaTeX tutorial and soon you'll be producing top-quality mathematical output.