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?
Oh sorry,I didn't notice that the no's must be unique. If we arrange that kind of numbers in a series,we get
1,2,5,10,17,26,37,50,65,82,...... We
can also note that multipication of any 2 consecutive no's in the series gives a no. which is also in the series.Hence
the lowest value of c is 10.

Posted by Gururaj
on 20040522 04:43:22 