Generate and Test (cont)
Function for primality checking:
isPrime(n):
| Input natural number n
| Output true if n prime, false otherwise
|
| for all i=2..n-1 do // generate
| | if n mod i = 0 then // test
| | return false // i is a divisor => n is not prime
| | end if
| end for
| return true // no divisor => n is prime
|
Complexity of isPrime is O(n)
Can be optimised: check only numbers between 2 and `|__sqrt n__|` ⇒ O(`sqrt n`)
|