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?

A lot of people who've posted comments seem to believe that 2, 5 and 10 is the answer. While 2*5 does equal 10 this isn't a pythagorean triple as requested in the puzzle, as 4 + 25 != 100. I don't have an answer, and I'd probably agree with the person who said this is actually impossible, but it definatly isn't 2, 5 and 10.

Posted by Euan on 2004-06-04 06:37:27