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

Home > Just Math
Three Quotients and Integer Puzzle (Posted on 2015-06-03) Difficulty: 3 of 5
For how many ordered pairs (p,q) of positive integers with q < p ≤ 2015 is each of p/q, (p+1)/(q+1) and (p+2)/(q+2) an integer?

No Solution Yet Submitted by K Sengupta    
Rating: 4.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
error Comment 4 of 4 |
I see what I did.  I didn't consider square factors.  Put another way I included non-essential factors.  For example, with q=2, 2*3*4=24 will work for p but so will 3*4.
  Posted by xdog on 2015-06-03 18:39:48
Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (1)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2018 by Animus Pactum Consulting. All rights reserved. Privacy Information