For example, when the Riemann hypothesis first appeared in a paper in 1859, ... We often think of a proof as a mathematical argument. Through a series of logical steps, ... They are using word ...

The Langlands programme has inspired and befuddled mathematicians for more than 50 years. A major advance has now opened up ...

Take Fermat’s Last Theorem, for example: short and sweet enough to scribble in a margin, but a proof took more than 350 years and the development of multiple new fields of math to find.

A glance at the current issue of Prospect: Mathematical proof as narrativeComputers make it possible for a mathematical proof to run as long as several thousand full-length novels combined. But ...

The three numbers a, b and c are supposed to be positive integers, and they are not allowed to share any common prime factors — so, for example, we could consider the equation 8 + 9 = 17, or 5 ...

Math 23 is aiming to go global. Motivated by the chance to create what is likely the first proof-based math class online, lecturer Paul G. Bamberg ’63 organized a meeting last week with Harvard ...

A claimed proof for one of the most vexing mathematical problems, P versus NP, set off shock waves online, demonstrating the potential of Web-based collaboration.

A mathematical proof is irrefutably true, a manifestation of pure logic. But an increasing number of mathematical proofs are now impossible to verify with absolute certainty, according to experts ...