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Old 29-05-2010, 05:10 PM
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sjastro
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Quote:
Originally Posted by Robh View Post
Oversight in expansion ...
a^2 = (2n+1)^2 = 4n^2+4n+1 = (2n^2+2n) + (2n^2+2n+1)

Therefore can select
b = 2n^2+2n = n((2n+1)+1) = n(a+1)
c = 2n^2+2n+1 = b+1

However, the end result still works out the same.
For any odd integer a, you can always find two consecutive integers b,c to complete the triad.
e.g. a = 9
a = 2n+1 = 9 ---> n = 4
b = n(a+1) = 4(9+1) = 40
c = 40+1 = 41
Triad 9,40,41.

Interesting.
Thanks for that, Rob.
Now the question is if there is a case where "a" is an even integer for the Liethagoras condition to be true?

Regards

Steven
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