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?

All the numbers need to be distinct, so 0 can't equal a, b, or c. The lowest other possibility is a=1, b=a+1=2, which results in a value of c=3. A way to prove that b can be a+1 is posted here: