perplexus.info :: Numbers : Sum the squares, get factorial

Home > Numbers

Sum the squares, get factorial (Posted on 2007-04-03)

Analytically determine all possible triplets (p, q, r) of positive integers that satisfy q≤r and p≤13 and p!= q²+r².

See The Solution Submitted by K Sengupta

Rating: 3.0000 (1 votes)

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

Non-analytical solution

| Comment 1 of 2

The possible triplets (p, q, r) of positive integers that satisfy q¡Âr and p¡Â13 and p!= q©÷+r©÷ are...

(2, 1, 1) 2! = 1² + 1² = 2

and

(6, 12, 24) 6! = 12² + 24² = 720

Posted by Dej Mar on 2007-04-03 16:28:51

Please log in:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (5)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info