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

Remember, a prime numbers can only be divided by itself and 1. You can use your knowledge of multiples (times tables) to eliminate numbers. Start with the smallest numbers and work your way up. It ...

A prime number is an integer, or whole number, that can be divided evenly only by 1 and by itself. ... This sieve enables someone to come up with large quantities of prime numbers.

If you do this with all numbers from 2 to 100, only prime numbers will remain. Sieving multiples of 2, 3, 5 and 7 leaves only the primes between 1 and 100. Courtesy of M.H. Weissman ...

Prime numbers are a central topic of study in math. Despite being an object of fascination for millennia, there are still a lot of unsolved problems involving primes. Prime numbers are one of the ...

Prime numbers are infinite, and proving anything about patterns in them is notoriously difficult. Mathematicians continue to chip away at pair primes, which are primes that are two apart: 11 and ...

Frequency of last-digit pairs, among successive prime numbers up to 100 million. Matching colors correspond to matching gaps. M.H. Weissman, CC BY.

In this case, you could multiply all prime numbers up to p with each other and add 1: 2 x 3 x 5 x 7 x 11 x ... x p + 1. The result cannot be divided by any of the existing prime numbers.

The prime number, which is newly-christened as M74207281, contains a number of digits twice the count of the population of Australia. This prime number is comprised of 22 million digits in total ...

Frequency of last-digit pairs, among successive prime numbers up to 100 million. Matching colors correspond to matching gaps. M.H. Weissman, CC BY.