Fairy111 said:its supposed to be n^(k) - 1
Prime numbers are positive integers that are only divisible by 1 and themselves. Examples of prime numbers include 2, 3, 5, 7, and 11.
To determine if a number is prime, you can check if it is only divisible by 1 and itself. One way to do this is by using a technique called trial division, where you divide the number by all smaller numbers and see if there is a remainder. If there is no remainder for any number other than 1 and itself, then the number is prime.
The Sieve of Eratosthenes is an ancient algorithm for finding all the prime numbers up to a given number. It works by creating a list of all numbers up to the given number and then systematically crossing out multiples of each prime number until only the prime numbers are left.
Yes, there are an infinite number of prime numbers. This was first proven by the ancient Greek mathematician Euclid in his book "Elements". He showed that if there were a finite number of prime numbers, then you could always find a new prime number by multiplying all existing prime numbers together and adding 1.
Prime numbers have many applications in mathematics and computer science. They are used in cryptography to create secure codes, in factoring large numbers, and in generating random numbers. Prime numbers also have connections to other areas of math, such as geometry, and have been studied for centuries by mathematicians.