Home > Article > Backend Development > PHP determines whether a number is prime
Prime number. A natural number greater than 1 that is not divisible by other natural numbers except 1 and itself is called a prime number; otherwise it is called a composite number.
If a number n is divisible by a number between 2 and √n (remainder is 0), then n can be judged to be a prime number. You can start testing from 2 until √n.
In the general field, for a positive integer n, if it cannot be divided by all integers between 2 and , n is a prime number. (Recommended learning: PHP programming from entry to proficiency)
Prime numbers are greater than or equal to 2 and cannot be divided by itself and numbers other than 1
I will not prove it specifically. Give a chestnut:
16 = 2*8 16 = 4*4 16 = 8*2 √16 = 4
If it is greater than, that is, c=a*b and c=b*a are repeated
function isPrime($n) { if ($n <= 3) { return $n > 1; } else if ($n % 2 === 0 || $n % 3 === 0) { // 排除能被2整除的数(2x)和被3整除的数(3x) return false; } else { // 排除能被6x+1和6x+5整除的数 for ($i = 5; $i * $i <= $n; $i += 6) { if ($n % $i === 0 || $n % ($i + 2) === 0) { return false; } } return true; } }
The above is the detailed content of PHP determines whether a number is prime. For more information, please follow other related articles on the PHP Chinese website!