A basic feature of number ... function for the object being placed into the collection; i.e., Java’s hashCode) uses a modulo of a constant, and that constant is recommended to be a prime.

A prime number is a natural number greater than 1 that has exactly two distinct factors, 1 and the number itself. So, if p is a prime number then its only factors will be 1 and p itself.

Because prime numbers are fundamentally connected with multiplication, understanding their additive properties can be ... combined their sieving tool with a function whose effectiveness is based ...

Studying numbers, then, basically amounts to studying the properties of prime numbers ... connected that accuracy bound to a special function on the complex number plane. The actual Riemann ...

At a low enough temperature, water freezes into ice by arranging its molecules into a very regular pattern called crystal. However many other liquids freeze not into crystals, but in much less regular ...

Kaisa Matomäki has proved that properties of prime numbers over long intervals hold over ... positive with primes and zero or negative with other numbers. So you have a function and if the input is a ...

12 = 2 x 2 x 3, 50 = 5 x 5 x 2, 69 = 3 x 23. Studying numbers, then, basically amounts to studying the properties of prime numbers. Mathematicians have, over the millennia, figured out quite a bit ...

The same freezing which is responsible for transforming liquids into glasses can help to predict some patterns observed in prime numbers, according to a team of scientists from Queen Mary, University ...