![]() The steps to find twin primes up to a number N are: Finding Twin Primes up to a number N The Algorithm It is called a conjecture because although the statement might be true, it has not yet been proven to be true. The Twin prime conjecture states that there are infinitely many twin primes. In other words, they are prime numbers pairs such that the difference between them is exactly equal to two. The Twin Prime ConjectureĪ twin Prime Pair is a pair of prime numbers (a,b) such that a is less than or greater than b by 2. One of the fields where they are used a lot is cryptography. Prime Numbers play important roles in computer science. For example, 11 is a prime number as it can only be represented as 11 * 1, but 8 is a composite number as it can be represented as 2 * 4 as well as 8 * 1. Introduction to Prime NumbersĪ prime number is a natural number that is only divisible by one and itself, which means it can only be represented as a product of one and itselfĪny number that is not prime is known as a composite number, meaning that it can be formed as a product of smaller numbers. Let us get started with Finding the twin primes up to N (Twin Prime Conjecture). ![]() We will also look at an efficient algorithm for finding the first twin prime pairs up to a number N. In this article, we will learn about prime numbers and the twin prime conjecture.
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