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

Home > Numbers
Triangular Coordinates (Posted on 2004-10-26) Difficulty: 3 of 5
Prove that there are an infinite number of distinct ordered pairs (m, n) of integers such that, for every positive integer t, the number mt + n is a triangular number if and only if t is a triangular number as well

No Solution Yet Submitted by Victor Zapana    
Rating: 2.6667 (3 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Reference | Comment 10 of 11 |

http://rec-puzzles.org/new/sol.pl/competition/tests/math/putnam/putnam.1988 

This is the same as 1988 Putnam Problem B.6, and Old Original Oskar!'s solution is the same as the one given at the end of this reference. There is also a note at the very end that gives a characterization of all the possible "triangular pairs" (m,n)


  Posted by Richard on 2004-10-27 04:49:38
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 (3)
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