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

Home > Numbers
Prime Crossed Factor Puzzle (Posted on 2023-03-18) Difficulty: 3 of 5
Find all possible pairs (x, y) of prime numbers, with x less than or equal to y, and each of x and y being less than 2023, such that:
• y divides x2 + 8 and,
• x divides y2 + 8
Provide valid reasoning as to why there are no further solutions.

*** Extra credit for an analytical solution.

Note: This puzzle is adapted from a problem appearing in the Zhautykov Olympiad.

No Solution Yet Submitted by K Sengupta    
Rating: 5.0000 (2 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Possible Solutionbroll2023-03-19 03:38:45
re: Computer solution without extra creditBrian Smith2023-03-18 21:05:44
Some ThoughtsComputer solution without extra creditLarry2023-03-18 08:23:01
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 (10)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2023 by Animus Pactum Consulting. All rights reserved. Privacy Information