A series of unsolved puzzles in number theory called Diophantine problems date back to 3,700 years ago. Over the years mathematicians have whittled away at them, and recent work has made significant ...

An American mathematician has cracked part of a problem that had remained unsolved for 64 years. Andrew Booker, Reader of Pure Mathematics at the University of Bristol in the U.K., worked out how to ...

In this paper all solutions to the equation 1 + x + y = z, where x, y and z are positive integers such that xyz has the form 2r3s5t, with r, s and t nonnegative integers, are determined. This work ...