PHP Program to Check Prime Number
A Prime number is a natural number greater than 1 and divisible by 1 and itself only, for example: 2, 3, 5, 7, etc.
Method 1: Using conditional statements
In the example below, the number called MyNum is checked for prime number by dividing it with all natural numbers starting from 2 to N - 1.
<?php $MyNum = 17; $n = 0; for($i = 2; $i < $MyNum; $i++) { if($MyNum % $i == 0){ $n++; break; } } if ($n == 0){ echo $MyNum." is a prime number."; } else { echo $MyNum." is not a prime number."; } ?>
The above code will give the following output:
17 is a prime number.
Method 2: Using function
In the example below, a function called primenumber() is created which takes a number as argument and checks it for prime number by dividing it with all natural numbers starting from 2 to N/2.
<?php function primenumber($MyNum) { $n = 0; for($i = 2; $i < ($MyNum/2+1); $i++) { if($MyNum % $i == 0){ $n++; break; } } if ($n == 0){ echo $MyNum." is a prime number."; } else { echo $MyNum." is not a prime number."; } } primenumber(21); ?>
The above code will give the following output:
21 is not a prime number.
Method 3: Optimized Code
- Instead of checking the divisibility of given number from 2 to N/2, it is checked till square root of N. For a factor larger than square root of N, there must the a smaller factor which is already checked in the range of 2 to square root of N.
- Except from 2 and 3, every prime number can be represented into 6k ± 1.
<?php function primenumber($MyNum) { $n = 0; if ($MyNum == 2 || $MyNum == 3) { echo $MyNum." is a prime number."; } elseif ($MyNum % 6 == 1 || $MyNum % 6 == 5) { for($i = 2; $i*$i <= $MyNum; $i++) { if($MyNum % $i == 0){ $n++; break; } } if ($n == 0){ echo $MyNum." is a prime number."; } else { echo $MyNum." is not a prime number."; } } else { echo $MyNum." is not a prime number."; } } primenumber(21); ?>
The above code will give the following output:
21 is not a prime number.
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