find the nth prime number in rust

To find the nth prime number in rust, we need to first understand what prime numbers are. Prime numbers are numbers that are divisible only by 1 and themselves.

With this understanding, we can write an algorithm to find the nth prime number in rust. Here's one way to do it:

main.rs
fn is_prime(n: i32) -> bool {
    if n < 2 {
        return false;
    }
    for i in 2..(n-1) {
        if n % i == 0 {
            return false;
        }
    }
    true
}

fn nth_prime(n: i32) -> i32 {
    let mut prime_count = 0;
    let mut num = 2;
    loop {
        if is_prime(num) {
            prime_count += 1;
        }
        if prime_count == n {
            return num;
        }
        num += 1;
    }
}
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This algorithm works by starting at the first prime number (which is 2), and sequentially checking each number until it finds the nth prime. The is_prime function checks whether a given number is prime or not, by iterating from 2 to (n-1) and checking whether it divides evenly.

However, this algorithm is not very efficient. For large values of n, it can take a long time to find the nth prime. There are many optimization techniques available to make this faster, such as using a sieve algorithm or a specific formula to generate the nth prime.