Using a notion called integer partitions, mathematicians have discovered a new way to detect prime numbers while also ...

Prime numbers, those integers divisible only by one and themselves, have fascinated mathematicians for millennia. Their ...

This shows that there are arbitrarily long prime gaps, and so out along the list of natural numbers there are places where the closest primes are 100, or 1,000, or even 1,000,000,000 numbers apart. A ...

The PTP can be used to shed light on finding a future prime, factoring an integer, visualizing an integer and its factors, identifying locations of twin primes, predicting the total number of ...

Twin primes are two prime numbers that have a distance of two on the number line; that is, they are directly consecutive if you ignore even numbers. Examples include 3 and 5, 5 and 7, and 17 and 19.

Luke Durant, a researcher and amateur mathematician, has identified the largest new prime number known to humankind. The newly discovered prime number is 2 to the power of 136,279,841, then minus one.

A basic feature of number theory, prime numbers are also a fundamental building block of computer science, from hashtables to cryptography. Topics Spotlight: AI-ready data centers ...

Mersenne primes are a rare kind of number, making Durant’s finding of the 52nd known Mersenne prime even more impressive. A number is only considered a Mersenne prime if it can be written in the ...

Every even number greater than 2 can be expressed as the sum of two prime numbers. There is only one even prime number which is 2. Any two prime numbers are always co-prime to each other.

Mersenne primes are a rare kind of number, making Durant’s finding of the 52nd known Mersenne prime even more impressive. A number is only considered a Mersenne prime if it can be written in the ...