Problem 9: Special Pythagorean triplet
A Pythagorean triplet is a set of three natural numbers, a
< b
< c
, for
which,
a2 + b2 = c2
For example, 32 + 42 = 9 + 16 = 25 = 52.
There exists exactly one Pythagorean triplet for which a
+ b
+ c
= 1000.
Find the product abc
such that a
+ b
+ c
= n
.
Test
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