August 24, 2020, ainerd

# Prime numbers are amazing, and they are used all around us.

Prime numbers are sometimes hard to understand, but mathematician Marcus du Sautoy writes that people use them spectacularly. There are 42 mathematical resources associated with NRICH, and you can find related elements in Properties of Numbers. Prime numbers are hidden in nature and there are their unique patterns, Schoen says. They help improve cryptocurrencies by showing people how to calculate problems more distributed, he says. ^{Sources: 0, 2, 6, 10}

It is extremely difficult to take very large numbers and figure out how to multiply prime numbers to produce a large number. The security of this type of cryptography is based on the consideration of large composite numbers, which are the product of two large prime numbers. First, common encryption systems use a prime number to create a strong encryption layer that could be eroded in the future with new types of computers. The RSA encryption algorithm is widely used and one of the numbers that can be achieved by multiplying a prime number. ^{Sources: 3, 7, 9}

There must be an infinite number of prime numbers, but fortunately there are quite a lot of prime numbers and Each time you add a prime, at least one new prime is found. If you take a large number and then add one after the other, it does not take long to come across a prime and there must have been an infinite number of prime numbers. Although PrimeNumbers are useful for problems involving integers (e.g. computer programming), they are also useful when an integer appears in a real situation. ^{Sources: 8}

For Weissman, classical problems such as the Riemann hypothesis will direct interest in the field of prime numbers in the coming decades. To embrace Sophie’s world of number theory and understand the nature of prime numbers and their role in computer programming, it is helpful to delve a little deeper into the subset of natural numbers that is formed by a prime (or prime). ^{Sources: 1, 14}

While the term prime usually refers to a positive integer number, other prime numbers are defined in the same way. A twin prime number is a pair of prime numbers whose number is equal to or greater than the sum of their prime numbers. Twin breasts are pairs of prime numbers whose numbers are equal to the integers, plus or minus or more than the prime value of the other number. Twin plums are prime numbers: A twin of prime numbers is a pair of prime numbers that has the number of numbers equal to or less than or equal to and more or less than. ^{Sources: 5, 12}

Prime numbers are numbers that can only be divided evenly by 1 itself, without any other uniform division being possible; 84 is for example 2x2x3x7. Prime numbers can be produced by sieving processes such as Eratosthenes sieve, and lucky numbers, which are also produced by sieving, seem to share some interesting asymptotic properties with prime numbers. If you have graduated from high school and are reading this article, you will probably know the following prime numbers: numbers that can only be divisible by a prime, numbers that can be formed by multiplying them, or any number that can only be divisible by 1 and 1. Prime numbers are considered building blocks of mathematics because they are prime numbers and are called “chemical element numbers,” because any integer can express the product of any prime. ^{Sources: 4, 5, 11, 13}

If the reader performs the above example of the sieve of Eratosthenes, he will find that the larger the ordinary numbers become, the fewer prime numbers are scattered between them. ^{Sources: 3}

I will say more about prime numbers from a technical point of view, but first I want to show that they are far from the other prime numbers in the line. If we look closely at the primers, we can look at what is not a prime. The ancient Greeks appreciated this and were probably the first to deal with it with pride. Among many achievements, Eratosthenes invented what we now call its sieve, a way to quickly distinguish prime numbers from composites. ^{Sources: 3, 8}

At the end of the simulation we see that all prime numbers are based on the number of prime numbers in the row and not on any other prime number. Although Zhang has not yet proven the conjecture about the twin primers, he has invented a novel technique to show that there is a common connection between the two – the prime and the prime without prime. His research showed how the common connections between prime numbers could bring together concepts of geometry, algebra and analysis. Although Zhang has not yet proven the suspected twin brothers, she has invented a novel technique that shows that one – trick pony, the four-wheeled primate – is the same number as the other three – legged plums in a row. There are many different ways of thinking about what a PrimeNumber is and what not.