A "Pythagorean Plus One" triple can be defined as any three distinct integers a, b, c, such all three of these are one more than a perfect square, and also a times b equals c. What is the lowest value of c possible?

(In reply to People seem to be wrong... by Euan)

a=2,b=5,c=10 is the answer. Please reread the puzzle. It says that each is one more than a perfect square (2=1+1, 5=4+1, 10=9+1), and a times b = c  (2 times 5 = 10.) It doesn't say a^2 times b^2 = c^2).

By the way, everybody always says "perfect square". Is there any other kind ?

Posted by Penny on 2004-06-05 20:21:35