Let the three sides of a triangle be integers \(a,b,c\) respectively, satisfying \(a > b > c\) and \( f\left (\frac{3^a}{10^4}\right)=f\left (\frac{3^b}{10^4}\right)=f\left(\frac{3^c}{10^4}\right)\) where \(f(x)=x-\lfloor x \rfloor\). Find the minimum perimeter of such a triangle.

×

Problem Loading...

Note Loading...

Set Loading...