perplexus.info :: Just Math : Prime to perfect square

Prime to perfect square (Posted on 2024-03-04)

Find all prime numbers p for which 71p + 1 is a perfect square.

No Solution Yet Submitted by Danish Ahmed Khan

No Rating

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

Puzzle Thoughts

Comment 1 of 1

p =73, since; 71*73+1 = (72-1)(72+1)+1 = 72^2-1+1 = 72^2

Edited on March 4, 2024, 7:17 am

Posted by K Sengupta on 2024-03-04 07:02:53

Please log in:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (15)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info