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

Home > Numbers
Four integers (Posted on 2016-12-04) Difficulty: 3 of 5
Find four distinct positive integers such that:
a. Each of them is below 500.
b. Multiplying any two of them and then incrementing the product by 1
produces a square number.

No Solution Yet Submitted by Ady TZIDON    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
re(4): Master of the obvious - beg to differ Comment 8 of 8 |
(In reply to re(3): Master of the obvious - beg to differ by Ady TZIDON)

Well, I thought it was obvious, but if we eliminate the word "positive" then all of the following are solutions.


 -1 -3 -8 -120
 -1 -3 -120 -1680
 -1 -8 -15 -528
 -1 -15 -24 -1520
 -2 -4 -12 -420
 -3 -5 -16 -1008

Note that all of these numbers are less than 500.

  Posted by Steve Herman on 2016-12-14 08:25:43
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 (2)
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