Now He’s Solving the World’s Hardest Equations. So here are nine more brutally difficult math problems that once seemed impossible, until mathematicians found a breakthrough. That’s the beauty of math: There’s always an answer for everything, even if takes years, decades, or even centuries to find it.
That turned out to be much harder-as in, no one was able to solve for those integers for 65 years until a supercomputer finally came up with the solution to 42. But what about the integers for x, y, and z so that x³+y³+z³=42? Can you think of the integers for x, y, and z so that x³+y³+z³=8? Sure.
It’s called a Diophantine Equation, and it’s sometimes known as the “summing of three cubes”: Find x, y, and z such that x³+y³+z³=k, for each k from one to 100. In 2019, mathematicians finally solved a hard math puzzle that had stumped them for decades.
