THE first attempt to prove Fermat's last theorem contained in this edition repeats a fallacy to which attention has already been directed in NATURE, Oct. 30, 1919. On pp. 18, 21, “quantities”t and υ ...

This paper reports on a six-year collaborative effort that culminated in a complete formalization of a proof of the Feit-Thompson Odd Order Theorem in the Coq proof assistant. The formalized proof is ...

IT is unfortunate that F. P. Wolfkehl's legacy of a prize for settling the vexed question of “Fermat's Last Theorem” should have stimulated such a large erroneous mathematical literature. Most of the ...

This is an updated version of a story first published on May 5, 2024. For many high school students returning to class, it may seem like geometry and trigonometry were created by the Greeks as a form ...

The Pythagoras’ theorem in 1D is governed by lines, while in 2D by squares (see picture below). Just like squares appear naturally when transforming the Pythagoras’ theorem from 1D to 2D, octahedrons ...

A University of Tartu student has come up with a new proof of the Pythagorean theorem using origami. While folding paper is already used — even in basic school — to demonstrate the well-known ...

The field of formal verification is all about using mathematically rigorous techniques and tools to prove properties about systems. The applications of formal verification vary widely. There are ...

DeepSeek AI has announced the release of DeepSeek-Prover-V2, a groundbreaking open-source large language model specifically designed for formal theorem proving within the Lean 4 environment. This ...

For over 2,000 years, mathematicians believed a purely trigonometric proof of Pythagoras’ theorem was impossible. But two high school students from Louisiana may have just changed that. Their ...

NPR's Ailsa Chang talks with Regina Barber and Emily Kwong of Short Wave about the oldest known tadpole, new proofs of the Pythagorean Theorem, and the evolutionary roots of alcohol consumption. All ...

The two, who are now college students, began studying the arithmetic issue as part of a high school math competition in New Orleans' St. Mary's Academy. Photo credit: CBS The 2,000-year-old theorem ...

Ne'Kiya Jackson and Calcea Johnson, have achieved a remarkable feat by proving the Pythagorean theorem using trigonometry, an accomplishment long considered impossible due to circular reasoning. Two ...