Prime numbers are all the rage these days. I can tell something’s up when random people start asking me about the randomness of primes—without even knowing that I’m a mathematician! In the past couple ...

The online computer game “Is this prime?” tests a player’s knowledge of prime numbers—and just surpassed 2,999,999 attempts. Give it a whirl. The Greek mathematician Euclid may very well have proved, ...

To determine if a number is prime, you can use the following steps: (i) Check if the number is greater than 1. Prime numbers must be greater than 1. (ii) Check divisibility: Divide the number by all ...

The ongoing search for ever-larger prime numbers continues apace. Primes are the atoms of arithmetic: every whole number is a unique product of primes. For example, 21 is the product of primes three ...

An amateur mathematician from San Jose, US, has discovered the largest prime number yet with over 41 million digits. Prime numbers, the building blocks of mathematics, are divisible only by themselves ...

One of the curious properties of mathematics is its beauty. But exactly what mathematicians mean by beauty is hard to capture. Perhaps the most famous example is Euler’s relation, e iπ + 1 = 0, which ...

You probably remember prime numbers from school. They’re numbers like 2, 3 and 17, which are only divisible by themselves and one. But the prime numbers you learned in school are puny compared to the ...

We have constructed a Carmichael number with 10,333,229,505 prime factors, and have also constructed Carmichael numbers with k prime factors for every k between 3 and 19,565,220. These computations ...