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.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

(X,P)=(8,2), (4,3) and (2,5)
For an explanation, refer to the solution submitted by Praneeth in this location

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Solution	Praneeth	2010-01-13 03:28:30
an observation, partial proof (spoiler)	Dej Mar	2010-01-12 14:41:51
Analytic solution	Jer	2010-01-12 14:39:18
re: analytical solution	Ady TZIDON	2010-01-12 14:08:24
computer solution	Charlie	2010-01-12 13:03:50
solution	Dej Mar	2010-01-12 12:37:16
re: analytical solution	Ady TZIDON	2010-01-12 12:00:56
analytical solution	Daniel	2010-01-12 11:53:50
got one	Ady TZIDON	2010-01-12 11:53:36

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