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Pythagorean Plus One (Posted on 2004-05-17) Difficulty: 3 of 5
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?

See The Solution Submitted by Gamer    
Rating: 2.5000 (2 votes)

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Some Thoughts solution | Comment 15 of 20 |

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
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