Threw history,prime numbers has always be a great fascination for mathematicians.
Even in modern times,primes numbers continues to fascinate many people.Probably the main reason why prime numbers continues to create such great interest would be because of the difficulty to prove that any given arbitrary number is prime. This is call the primality test. Most of the test for primality are probalistic rather
than deterministic,because probalistic test are much more quicker than the deterministic ones. When testing the primality of a given number,one of the theorem that is very largely used is Fermat's little theorem: if "p" is a prime number that is not a factor of a given integer "a",then pow(a, p - 1) = 1 (mod p) or pow(a, p - 1) % p = 1 One of the main application of prime numbers nowadays is chryptography,the RSA algorithm for encrypting and decrypting messages is based on prime numbers.
//**************************************
//INCLUDE files for :[ A Prime Number Generator ]
//**************************************
#include <iostream>
#include <fstream>
#include <vector>
#include <cmath>
#include <cassert>
using std::fstream;
using std::vector;
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am about to go and test it I'ill really comment on it. Never the less am a newcomer and I'll like to make friend that can groom me to also be able to write code for others to view and use, I just gain admission into higher instution. (If this comment was disrespectful, please report it.)
very impress code. (If this comment was disrespectful, please report it.)
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3/14/2005 12:13:42 PM: 
