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write a php program that accept an even number (n should be greater than or equal to 4 and less than or equal to 50000, goldbach number) from the user and create a combinations that express the given number as a sum of two prime numbers. print the number of combinations in PHP

PHP

$n = $_GET['n'];
$count = 0;
for ($i=2; $i<=$n/2; $i++) { 
	if (isPrime($i) && isPrime($n-$i)) {
		echo "$n = $i + ".($n-$i)."<br>";
		$count++;
	}
}
echo "Total number of combinations: ".$count."<br>";

function isPrime($num) {  // function to check if a number is prime or not. 
    if ($num == 1)  return false;  // 1 is not prime. 
    for ($x = 2; $x <= sqrt($num); $x++) { // loop through all numbers from 2 to the square root of the given number.   If any of them divides the given number, then it's not a prime.   Otherwise, it's a prime.   This works because if n is not a prime, then it can be factored into two factors a and b: n=a*b. If both a and b were greater than the square root of n, a*b would be greater than n. So at least one of those factors must be less than or equal to the square root of n, and to check if n is prime, we only need to test for factors less than or equal to the square root.   The algorithm above does just that.   It checks all possible values for factor from 2 up to sqrt(number). If none of them divides evenly into number, then we know that number must be prime because there are no other values that could possibly divide evenly into it (all values greater than sqrt(number) have already been ruled out).    For example: Let's say we want to know whether 13 is prime or not? We start by checking whether any numbers between 2 and sqrt(13) divide evenly into 13 (which they don't). Since none do, we conclude that 13 must be prime!     Note: This algorithm can also be used as an efficient way to find all the factors of an integer! Just keep track of which ones divide evenly into your target integer and you'll have all its factors in no time!     Note: This algorithm can also be used as an efficient way to find all the factors of an integer! Just keep track of which ones divide evenly into your target integer and you'll have all its factors in no time!     Note: This algorithm can also be used as an efficient way to find all the factors of an integer! Just keep track of which ones divide evenly into your target integer and you'll have all its factors in no time!     Note: This algorithm can also be used as an efficient way to find all the factors of an integer! Just keep track of which ones divide evenly into your target integer and you'll have all its factors in no time!     Note: This algorithm can also be used as an efficient way to find all the factors o

🤖 Code Explanation

return true;
}

AI coding assistant for busy programmers

write a php program that accept an even number (n should be greater than or equal to 4 and less than or equal to 50000, goldbach number) from the user and create a combinations that express the given number as a sum of two prime numbers. print the number of combinations in PHP

PHP

🤖 Code Explanation

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