This approach is based on Wilson’s theorem and using the fact that factorial computation can be done easily using DP
Wilson theorem says if a number k is prime then ((k-1)! + 1) % k must be 0.
Below is Python implementation of the approach. Note that the solution works in Python because Python supports large integers by default therefore factorial of large numbers can be computed.
2 3 5 7 11 13
This article is contributed by Parikshit Mukherjee. 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 write comments if you find anything incorrect, or you want to share more information about the topic discussed above.
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.
- Absolute difference between the Product of Non-Prime numbers and Prime numbers of an Array
- Absolute difference between the XOR of Non-Prime numbers and Prime numbers of an Array
- Absolute Difference between the Sum of Non-Prime numbers and Prime numbers of an Array
- Interesting facts about Fibonacci numbers
- Print the nearest prime number formed by adding prime numbers to N
- Check if a number is Prime, Semi-Prime or Composite for very large numbers
- Permutation of first N positive integers such that prime numbers are at prime indices | Set 2
- Permutation of first N positive integers such that prime numbers are at prime indices
- Check if a prime number can be expressed as sum of two Prime Numbers
- Count all prime numbers in a given range whose sum of digits is also prime
- Print prime numbers with prime sum of digits in an array
- Generate a list of n consecutive composite numbers (An interesting method)
- Cube Free Numbers smaller than n
- Minimum numbers (smaller than or equal to N) with sum S
- Find initial integral solution of Linear Diophantine equation if finite solution exists
- Number of n digit stepping numbers | Space optimized solution
- Print all Jumping Numbers smaller than or equal to a given value
- Count of Binary Digit numbers smaller than N
- Euler's Totient function for all numbers smaller than or equal to n
- Print numbers such that no two consecutive numbers are co-prime and every three consecutive numbers are co-prime