Basic Primality Checker Algorithm

algorithm math

I was randomly surfing around the internet when I stumbled upon Google Labs Aptitude Test (GLAT)(Found here). I can't really remember which links I followed from there but I stumbled into a question that asks to find the first 10 consecutive digits of E that are prime. While not a hard task I wrote a small program in C to test whether or not a number is prime.

The core function isPrime() is below

bool isPrime(unsigned long long n) {
    // prime numbers are natural by definition
    if(n <= 1) {
        return false;
    unsigned long long root = sqrtl(n);
    // is the number divisible by n, such that n >= 2 and n <= sqrt(number)?
    // if so then the number is composite
    for(unsigned long long i = 2; i <= root; i++) {
        if(n % i == 0) {
            return false;
    return true; // it is prime!

note: If the number gets to large enough this algorithm will be very slow as it could potentially have to iterate from 3 to the square root of the number being tested. For trivial cases this algorithm executes likely fast enough.