After 65 Years, Supercomputers Finally Solve This Unsolvable Math Problem
Piece of cake.
ANDREW DANIELS
Two more answers for a complex math problem have been found.
Called the "summing of three cubes," the challenge is to find x, y, and z.
It took over a million computing hours to find the solution.
For decades, a math puzzle has stumped the smartest mathematicians in the world. x3+y3+z3=k, with k being all the numbers from one to 100, is a Diophantine equation that’s sometimes known as "summing of three cubes."
When there are two or more unknowns, as is the case here, only the integers are studied. The trick is finding integers that work for all equations, or the numbers for x, y, and z that will all equal k. Over the years, scientists have solved for nearly every integer between 0 and 100. The last two that remained were 33 and 42.
Earlier this year, Andrew Booker of the University of Bristol spent weeks with a supercomputer to finally arrive at a solution for 33. But 42, which by coincidence is a well-known number in pop culture, proved to be much more difficult.