perplexus.info :: Numbers : All/Any different?

All/Any different? (Posted on 2005-08-16)

Given positive integer n, consider the set of numbers {n²+1, n²+2, ... (n+1)²}. If we pick two numbers x and y out of that set, how many different values can the product xy take?

See The Solution Submitted by Federico Kereki

Rating: 3.5000 (6 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

Puzzle Answer

Comment 27 of 27 |

The product x*y can assume precisely n(2n+1) values.

*** I sincerely hope to posit a detailed explanation to this in future.

Edited on May 29, 2022, 9:23 am

Posted by K Sengupta on 2022-05-29 09:21:42

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 (5)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info