### C# Basic

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- C# Pronic Number
- C# Prime Factor
- C# Prime Number
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# C# Program to Check Pronic Number

Photo Credit to CodeToFun

## π 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 walk through a C# program designed to check whether a given number is a pronic number or not.

## π Example

Now, let's delve into the C# code that checks whether a given number is a pronic number or not.

```
using System;
class Program {
// Function to check if a number is a pronic number
static bool IsPronic(int num) {
int sqrtNum = (int) Math.Sqrt(num);
return (sqrtNum * (sqrtNum + 1) == num);
}
// Driver program
static void Main() {
// Replace this value with your desired number
int number = 12;
// Check if the number is a pronic number
if (IsPronic(number)) {
Console.WriteLine($"{number} is a pronic number.");
} else {
Console.WriteLine($"{number} is not a pronic number.");
}
}
}
```

### π» Testing the Program

To test the program with different numbers, simply replace the value of number in the Main method.

12 is a pronic number.

Compile and run the program to check if the given number is a pronic number.

### π§ 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.

## π Between the Given Range

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

```
using System;
class Program {
// Function to check if a number is pronic
static bool IsPronic(int num) {
for (int i = 0; i <= Math.Sqrt(num); i++) {
if (i * (i + 1) == num) {
return true;
}
}
return false;
}
// Driver program
static void Main() {
Console.Write("Pronic Numbers in the range 1 to 20: \n");
// Check for pronic numbers in the range
for (int i = 1; i <= 20; i++) {
if (IsPronic(i)) {
Console.Write($ "{i} ");
}
}
Console.WriteLine();
}
}
```

### π» Testing the Program

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

Compile and run the program to see the pronic numbers in the specified range.

### π§ How the Program Works

- The program defines a function IsPronic that checks if a given number is a pronic number by iterating through possible values.
- The Main method iterates through numbers from 1 to 20 and prints those that are pronic.

## π§ 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 Γ (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 P_{3} = 3x(3+1) = 12.

## π’ Optimizing the Program

While the provided program is effective, consider exploring ways to optimize the computation of pronic numbers for larger inputs.

Feel free to incorporate and modify this code as needed for your specific use case. Happy coding!

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