When the sum of cubes equation is framed in this way, for certain values of k, the integer solutions for x, y, and z can grow to enormous numbers. The number space that mathematicians must search ...

Their basic properties can stymie number theorists. For instance, no mathematical method exists that can reliably tell whether any given Diophantine equation has solutions. According to Booker, the ...

Hot on the heels of the ground-breaking 'Sum-Of-Three-Cubes' solution ... at the University of Cambridge, looked for Solutions of the Diophantine Equation x^3+y^3+z^3=k, with k being all the ...

have jointly proven that 42 is indeed the sum of three cubes. Earlier this year, Andrew Booker of Bristol was inspired by a Numberphile video to begin working on a solution. We've embedded that ...