Discover how the Luhn Algorithm verifies credit card accuracy, supports secure transactions, and helps prevent errors in inputting Social Security numbers.

The original version of this story appeared in Quanta Magazine. Imagine a town with two widget merchants. Customers prefer cheaper widgets, so the merchants must compete to set the lowest price.

All of modern mathematics is built on the foundation of set theory, the study of how to organize abstract collections of objects. But in general, research mathematicians don’t need to think about it ...

Google claims to have developed a quantum computer algorithm that is 13,000 times faster than the most powerful supercomputers. This would bring the technology another step closer to real-world ...

Quantum computers are coming. And when they arrive, they are going to upend the way we protect sensitive data. Unlike classical computers, quantum computers harness quantum mechanical effects — like ...

SAN FRANCISCO, Oct 22 (Reuters) - Google said it has developed a computer algorithm that points the way to practical applications for quantum computing and will be able to generate unique data for use ...

The new quantum computing algorithm, called "Quantum Echoes," is the first that can be independently verified by running it on another quantum computer. When you purchase through links on our site, we ...

Designed to accelerate advances in medicine and other fields, the tech giant’s quantum algorithm runs 13,000 times as fast as software written for a traditional supercomputer. A quantum computer at ...

Thinking about learning Python? It’s a pretty popular language these days, and for good reason. It’s not super complicated, which is nice if you’re just starting out. We’ve put together a guide that ...

Written for you by our author Bob Yirka, edited by Lisa Lock, and fact-checked and reviewed by Robert Egan —this article is the result of careful human work. We rely on readers like you to keep ...