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

Home > Numbers
Some Linear Combination of Prime May Be a Perfect Square (Posted on 2023-06-21) Difficulty: 3 of 5
Consider a positive integer n and a prime number p.

The following conditions are satisfied simultaneously:

  • p divides n3-1
  • n divides p-1
Does 4p-3 always correspond to a perfect square?
  • If not, provide an example.
  • If so, prove it.

No Solution Yet Submitted by K Sengupta    
No Rating

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Some ThoughtsSome analytic progressBrian Smith2023-06-21 13:40:10
Some Thoughtsan answer -- strictly speakingCharlie2023-06-21 12:55:18
 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:

blackjack

flooble's webmaster puzzle

Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information