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?

....can prove the impossibility of a Pythagorean Plus One triple consisting of three even numbers. Since there are no such triples among the first million integers, I suspect there is a mathematical proof of the impossibility of such a triple. (Like a proof that there are no odd Mersenne primes ? Mathematicians are still working on that one.) 

 

Edited on May 17, 2004, 2:33 pm

Posted by Penny on 2004-05-17 13:27:00