MathDB

diophantine system x y z=4104, x+y+z=77

Source: X May Olympiad (Olimpiada de Mayo) 2004 L2 P4

September 19, 2022

number theorysystem of equationsdiophantineSystem

Problem Statement

Find all the natural numbers

x, y, z

that satisfy simultaneously

\begin{cases} x y z=4104 \\ x+y+z=77 \end{cases}