perplexus.info :: Just Math : Find additional pairs

Home > Just Math

Find additional pairs (Posted on 2016-08-08)

The pair of positive integers (4,6) satisfies the equation

(2x+1)*x=y^2

Find at least three additional pairs, both x and y below 10^6.

See The Solution Submitted by Ady TZIDON

No Rating

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

re: computer solution

| Comment 3 of 5 |

(In reply to computer solution by Charlie)

also

x=192099600, y= 271669860 works, with the lhs and rhs both =

73804512032419600

(found by extending the search in the VB program, and weeding out two false solutions that were due to precision problems, by checking the answers with UBASIC).

Posted by Charlie on 2016-08-08 22:19:57

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