Pitagorina trojka je skup tri prirodna broja
za koje je
.
Postoji samo jedna Pitagorina trojka za koju vrijedi
. Nađite
.
A
Pythagorean triple is a set of three natural numbers
for which
holds.
There is only one Pythagorean triple for which
holds. Determine
.
[lang=hr]
\textit{Pitagorina trojka} je skup tri prirodna broja $a< b < c$ za koje je $a^2+b^2=c^2$. \\
Postoji samo jedna Pitagorina trojka za koju vrijedi $a+b+c=1000$. Nađite $a\cdot b \cdot c$.\\
[/lang]
[lang=en]
A \textit{Pythagorean triple} is a set of three natural numbers $a < b < c$ for which $a^2+b^2=c^2$ holds. \\
There is only one Pythagorean triple for which $a+b+c=1000$ holds. Determine $a\cdot b \cdot c$.
[/lang]
