PHP Program to Check Pronic Number

Posted in PHP Tutorial

Updated on Jan 11, 2024

By Mari Selvan

👁️ 29 - Views

⏳ 4 mins

💬 1 Comment

Photo Credit to CodeToFun

🙋 Introduction

In the realm of programming, mathematical patterns and properties often become interesting challenges. One such intriguing concept is the "Pronic Number."

A pronic number, also known as a rectangular number, oblong number, or heteromecic number, is the product of two consecutive integers.

In this tutorial, we will delve into a PHP program designed to check whether a given number is a pronic number or not.

📄 Example

Now, let's explore the PHP code that checks whether a given number is a pronic number or not.

isPronic.php

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<?php
// Function to check if a number is a pronic number
function isPronic($num)
{
  $sqrtNum = sqrt($num);

  return ($sqrtNum * ($sqrtNum + 1) == $num);
}

// Driver program
// Replace this value with your desired number
$number = 12;

// Check if the number is a pronic number
if (isPronic($number))
{
  echo "$number is a pronic number.\n";
}
else
{
  echo "$number is not a pronic number.\n";
}

?>

💻 Testing the Program

To test the program with different numbers, simply replace the value of $number in the code.

Output

12 is a pronic number.

Run the script to check if the given number is a pronic number.

🧠 How the Program Works

The program defines a function isPronic that takes a number as input and returns true if the number is a pronic number and false otherwise.
Inside the function, it calculates the square root of the input number.
It checks whether the product of the square root and the square root incremented by 1 equals the input number. If yes, the number is a pronic number.
The driver program tests the function with a sample number and prints the result.

📏 Between the Given Range

Let's take a look at the php code that checks for pronic numbers in the range from 1 to 20.

isPronic.php

Copied

<?php
// Function to check if a number is pronic
function isPronic($num)
{
  $root = (int)sqrt($num);
  return ($root * ($root + 1) == $num);
}

// Display pronic numbers in the range 1 to 20
echo "Pronic Numbers in the range 1 to 20:\n";

for ($i = 1;$i <= 20;++$i)
{
  if (isPronic($i))
  {
    echo $i . " ";
  }
}

?>

💻 Testing the Program

Output

Pronic Numbers in the range 1 to 20:
2 6 12 20

The provided script checks and displays pronic numbers in the range from 1 to 20. No additional input is required. Simply run the script to see the pronic numbers.

🧠 How the Program Works

The program defines a function isPronic that checks if a given number is a pronic number.
Inside the function, it calculates the square root of the number and checks if the product of the square root and the square root plus one equals the original number.
The program then iterates through the range from 1 to 20, calling the isPronic function for each number.
If a number is pronic, it is displayed.

🧐 Understanding the Concept of Pronic Numbers

Before delving into the code, let's take a moment to understand the concept of pronic numbers.

A pronic number is a product of two consecutive integers, and it has applications in various mathematical and geometric contexts.

A pronic number, denoted by P_n, is a number of the form P_n=n × (n+1) where n is a non-negative integer. The sequence of pronic numbers starts as 0, 2, 6, 12, 20, and so on.

For example, let's take n = 3. The corresponding pronic number would be P₃ = 3x(3+1) = 12.