Fermat's Little Theorem offers an elegant probabilistic shortcut for detecting prime numbers, but a strange class of ...

A deterministic proof seems within reach, until composite numbers start masquerading as primes. This video traces how Fermat's theorem becomes a probabilistic algorithm, and why embracing uncertainty ...

It’s hard to ignore the seismic shifts brought about by algorithm-driven content. Every time you scroll through your social media feed or check your favorite news app, algorithms are diligently at ...

Personalized algorithms may quietly sabotage how people learn, nudging them into narrow tunnels of information even when they start with zero prior knowledge. In the study, participants using ...

Gothenburg promised to optimise school admissions with a piece of code. The resulting chaos showed how unaccountable systems are ruining lives We like to imagine that injustice announces itself loudly ...

While the creation of this new entity marks a big step toward avoiding a U.S. ban, as well as easing trade and tech-related tensions between Washington and Beijing, there is still uncertainty ...

As the world races to build artificial superintelligence, one maverick bioengineer is testing how much unprogrammed intelligence may already be lurking in our simplest algorithms to determine whether ...

Imagine a town with two widget merchants. Customers prefer cheaper widgets, so the merchants must compete to set the lowest price. Unhappy with their meager profits, they meet one night in a ...

The original version of this story appeared in Quanta Magazine. If you want to solve a tricky problem, it often helps to get organized. You might, for example, break the problem into pieces and tackle ...

This is a C++ implementation of J. P. Sorenson's Pseudosquares Prime Sieve algorithm, which is one of the few prime sieving algorithms that is well suited for generating primes > $2^{64}$. The ...

ABSTRACT: Over millennia, people have considered prime numbers as unpredictable and hard to list. This study confirms that all positive integers without factors of 2, 3, 5 and 7 can be regarded as the ...

Last year, fashion publications wrote extensively about the impact of the algorithm on personal style. (Vogue Business included.) In last year’s fashion conversation, ‘the algorithm’ surpassed its ...