Definition of Prime Number

On math, is named Prime numbers to those natural numbers that can only be divided by either 1 or by themselves; 2, 3, 5, 7, 11, 13, 23, 29, 41, 43, are examples of prime numbers.

Meanwhile, it is designated as primality to property which have the aforementioned numbers to be primes. In addition, this condition of primality is important because it is the one that tells us that every number can be factored as a product of prime numbers, meanwhile, this factorization will be unique.

It should be noted that since 2 is the only even prime number, it is often referred to as an odd prime number when you want to name any prime number that is greater than 2. And the set of all prime numbers is usually to recognize via P.

The study of prime numbers turns out to be an important and fundamental question for the theory of the numbers, which is that part of mathematics that focuses on the study of natural numbers and, as we mentioned, primes are included within natural numbers.

The study of this type of numbers is really an old question and a proof of this is that around the 300 BC., the renowned Greek mathematician, Euclid, proved the infinity of prime numbers; later, the knowledge to respect were expanding thanks to the so-called Goldbach's conjecture, which goes back several centuries, more precisely to the year 1742, moment in which the mathematician Christian goldbach He pointed out that any even number greater than 2 can be expressed as the sum of two prime numbers. As a consequence that no other mathematician to this day could prove otherwise, it has been taken to the aforementioned conjecture as totally true, although I repeat, it has not been verified until moment.

There are some simple rules that will allow us to check whether a number is prime or not... any number that ends in 0, 2, 4, 5, 6 and 8, or in its By default, when the digits add up to a number divisible by 3, it will not be prime, but on the contrary, the numbers that end in 1, 3, 7 and 9 can be cousins.

The numbers that are not prime, because they have a natural divisor that in addition to themselves and 1, are called compounds. And by convention it has been established that the number 1 is neither prime nor compound.