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 2004-05-22 04:43:22