perplexus.info :: Just Math : P<sup>X </sup>+ 144 = Perfect Square

P^X+ 144 = Perfect Square (Posted on 2010-01-12)

X is a positive integer > 1 and, P is a prime number. Determine all possible pairs (X, P) such that P^X + 144 is a perfect square.

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

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

re: analytical solution

| Comment 3 of 9 |

(In reply to analytical solution by Daniel)

You say:

p=13 and x=1
thus the only solution is (1,13)

no!

k=13 =>>> p=5, x=2

Posted by Ady TZIDON on 2010-01-12 12:00:56

Please log in:

Forums (1)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (16)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info