## Nearest prime less than given number n C++

Hafeezul Kareem

Updated on 23-Oct-2021 07:54:29

We are given a number n, we need to find the nearest prime number that is less than n. We can find the number easily if we start checking from the n - 1. Let's see some examples.Input10Output7AlgorithmInitialise the number n.Write a loop that iterates from n - 1 to ... Read More

## Natural Numbers in C++ Program

Hafeezul Kareem

Updated on 23-Oct-2021 07:43:13

Numbers that are greater than 0 are called natural numbers. The natural number are1, 2, 3, 4, 5, 6, 7...AlgorithmInitialise the number n.Write a loop that iterates from 1 to n.Print the numbers.Increment the iterative variable.ImplementationFollowing is the implementation of the above algorithm in C++#include using namespace std; void ... Read More

## Narayana number in C++

Hafeezul Kareem

Updated on 23-Oct-2021 07:11:21

The Narayana numbers can be expressed in terms of binomial expression \$1/n\binom{n}{k} \binom{n}{k-1}\$  Learn more about the Narayana number here.You are given the numbers n and k. Find the Narayana number. It's a straightforward problem having the combinations formula. Let's see the code.AlgorithmInitialise the numbers n and k.Find the Narayana ... Read More

## N’th Smart Number in C++

Hafeezul Kareem

Updated on 23-Oct-2021 06:31:40

A smart number is a number that contains at least three distinct prime factors. You are given a number N. Find the n-th smart number.The smart number series are30, 42, 60, 66, 70, 78...AlgorithmInitialise the number N.Initialise the count to 0.Write a function that checks whether the given number is ... Read More

## n’th Pentagonal Number in C++

Hafeezul Kareem

Updated on 22-Oct-2021 11:04:32

In this tutorial, we are going to write a program that finds the n-th pentagonal number.A pentagonal number is a number represented as dots or pebbles arranged in the shape of a regular polygon. Refer to the wiki for better understanding.The n-th pentagonal number is (3 * n * n ... Read More

## N’th palindrome of K digits in C++

Hafeezul Kareem

Updated on 22-Oct-2021 10:36:22

To find the n-th palindrome of k digits, we can iterate from the first k digits number till we find the n-th palindrome number. This approach is not efficient. You can try it yourself.Now, let's see the efficient approach to find the n-th palindrome of k digits.There are two halves ... Read More

## n-th term of series 1, 17, 98, 354…… in C++

Hafeezul Kareem

Updated on 22-Oct-2021 09:53:36

The given series is 1, 17, 98, 354...If you clearly observe the series, you will find that the n-th number is equal to the 4 powers.Let's see the pattern. 1 = 1 ^ 4 17 = 1 ^ 4 + 2 ^ 4 98 = 1 ^ 4 + 2 ... Read More

## N-th term in the series 1, 11, 55, 239, 991,…in C++

Hafeezul Kareem

Updated on 22-Oct-2021 08:03:47

The given series is 1, 11, 55, 239, 991...If you clearly observe the series, you will find that the n-th number is 4n-2n-1.AlgorithmInitialise the number N.Use the series formula to compute the n-th term.Print the result.ImplementationFollowing is the implementation of the above algorithm in C++#include using namespace std; int ... Read More

## n-th term in series 2, 12, 36, 80, 150….in C++

Hafeezul Kareem

Updated on 22-Oct-2021 07:46:48

The given series is 2, 12, 36, 80, 150...If you clearly observe the series, you will find that the n-th number is n2 + n3.AlgorithmInitialise the number N.Use the series formula to compute the n-th term.Print the result.ImplementationFollowing is the implementation of the above algorithm in C++#include using ... Read More

## N-th root of a number in C++

Hafeezul Kareem

Updated on 22-Oct-2021 07:38:31

You are given the N-th root and the result of it. You need to find the number such that numberN = result.Let's see some examples.Input result = 25 N = 2Output 5The 52 = 25. Hence the output in the above example is 5.Inputresult = 64 N = 3Output4 The ... Read More

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