![]() Then the algorithm continues with the next prime number. Put simply, this algorithm starts from the very first prime number, 2, and marks every multiple of it smaller than x as composite. One of the most efficient algorithms for calculating prime numbers is called Sieve of Eratosthenes. For instance, if x=100,000,000, then the program must check each and every number between 2 and 99,999,999 to see if it divides x evenly or not.īetter methods can nevertheless be used to calculate prime numbers. Although such a method can be used for very small numbers, but it will be very time consuming and also subject to errors for large numbers. If no such number divides x evenly, then it can be concluded that x is a prime number. Therefore, numbers like 2, 3, 5, 7, 11 are all prime numbers.Īs a result of the definition of a prime number, one might probably decide to check if a given number, x, is prime by trying to divide it by all the integers starting from 2 and smaller than x. A prime number is a positive number greater than 1, which has no positive integer divisors except 1 and itself.
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