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A prime number is a whole number that is greater than one and the only factors of a prime number should be one and itself. Some of the first prime numbers are −

2, 3, 5, 7, 11, 13 ,17

The program to check if a number is prime or not is as follows.

#include <iostream> using namespace std; int main() { int n=17, i, flag = 0; for(i=2; i<=n/2; ++i) { if(n%i==0) { flag=1; break; } } if (flag==0) cout<<n<<" is a prime number"; else cout<<n<<" is not a prime number"; return 0; }

17 is a prime number

In the above program, there is a loop that runs from 2 to half of n, where n is the number to be determined. Each of the values of the loop divide n. If the remainder of this division is 0, that means n is divisible by a number, not one or itself. So, it is not a prime number and the flag is set to 1. Then break statement is used to exit the loop.

for(i=2; i<=n/2; ++i) { if(n%i==0) { flag=1; break; } }

If the value of flag remained zero, then the number is a prime number and that is displayed. If the value of flag was changed to one, then the number is not a prime number and that is displayed.

if (flag==0) cout<<n<<" is a prime number"; else cout<<n<<" is not a prime number";

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