Given a positive integer n, the task is to print nth Hilbert Number.
Hilbert Number: In mathematics, A Hilbert Number is a positive integer of the form 4*n + 1 , Where n is a non-negative integer.
The first few Hilbert numbers are –
1, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 45, 49, 53, 57, 61, 65, 69, 73, 77, 81, 85, 89, 93, 97
Input : 5 Output: 21 ( i.e 4*5 + 1 ) Input : 9 Output: 37 (i.e 4*9 + 1 )
- The n-th Hilbert Number of the sequence can be obtained by putting the value of n in the formula 4*n + 1.
Below is the implementation of the above idea:
Attention reader! Don’t stop learning now. Get hold of all the important DSA concepts with the DSA Self Paced Course at a student-friendly price and become industry ready.
- Hilbert Matrix
- Number of factors of very large number N modulo M where M is any prime number
- Find minimum number to be divided to make a number a perfect square
- How to check if a given number is Fibonacci number?
- Find the smallest number whose digits multiply to a given number n
- Find n'th number in a number system with only 3 and 4
- Build Lowest Number by Removing n digits from a given number
- Minimum number of squares whose sum equals to given number n
- Count number of subsets of a set with GCD equal to a given number
- Count number of ways to divide a number in 4 parts
- Querying maximum number of divisors that a number in a given range has
- Check if a number is a power of another number
- Find the Largest number with given number of digits and sum of digits
- Finding number of digits in n'th Fibonacci number
- Smallest number by rearranging digits of a given number
- Number with maximum number of prime factors
- Convert a number m to n using minimum number of given operations
- Determine whether a given number is a Hyperperfect Number
- Find count of digits in a number that divide the number
- Convert a binary number to hexadecimal number
If you like GeeksforGeeks and would like to contribute, you can also write an article using contribute.geeksforgeeks.org or mail your article to email@example.com. See your article appearing on the GeeksforGeeks main page and help other Geeks.
Please Improve this article if you find anything incorrect by clicking on the "Improve Article" button below.