## Factorizer

This page allows performing the decomposition of a number into its prime factors, and computing the value of some arithmetic…

## The Prime Number Theorem: history and statement

Looking at a prime numbers table, it's very simple to notice how their distribution seems to escape any regularity; instead…

## The factorial function and the Λ* function

Almost certainly you already know the factorial function, indicated by x!, which is read as "x factorial" and for an…

## Chebyshev’s Theorem (weak version)

With this post we begin an analytical study of the function pi(x), that returns the number of primes less than…

## The product of the first prime numbers: an underestimation

We saw that the product of the first prime numbers can be overestimated by a function of exponential kind with…

## The least common multiple of the first positive integers

We know that a way to compute the least common multiple between two or more integer numbers is based on…

## The product of the first prime numbers: an overestimation

A way to start investigating the sequence of prime numbers is to consider, starting from the beginning, portions of increasing…

## The definition of prime number

We'll start our study of prime numbers explaining the definition of prime number. It's commonly known that a prime number…