perplexus.info :: Just Math : Integer Pair and Prime Constant II

Integer Pair and Prime Constant II (Posted on 2010-01-23)

Determine all possible value(s) of a positive prime constant P such that the equation: 2^X + 3P = Y² has precisely two distinct solutions in (X, Y), where each of X and Y is a positive integer.

Submitted by K Sengupta

Rating: 5.0000 (2 votes)

Solution: (Hide)

P = 11 is the only solution with (X, Y) being (4, 7) and (8, 17).

For a detailed explanation, refer to the solution submitted by Harry in this location.

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

Subject	Author	Date
Bravo, Harry!	Steve Herman	2010-01-26 16:00:08
Analytic Solution	Harry	2010-01-26 14:55:21
computer solution	Justin	2010-01-24 16:12:14

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

Forums (1)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (6)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info