What does 'Space Complexity' imply ? Given a chief number n, the task is to find its primitive root beneath modulo n. Return -1 if n is a non-prime number. A simple resolution is to attempt all numbers from 2 to n-1. If all these values are different, then return r, else proceed for the subsequent value of r. If all values of r are tried, return -1. An environment friendly answer is based on the under info. If the multiplicative order of a quantity r modulo n is equal to Euler Totient Function Φ(n) ( note that the Euler Totient Function for a chief n is n-1), then it is a primitive root. Although there may be multiple primitive roots for a primary number, we are solely involved with the smallest one. In order for you to find all the roots, then proceed the method until p-1 instead of breaking up by finding the first primitive root. This article is contributed by Niteesh kumar and Sahil Chhabra (akku). See your article appearing on the GeeksforGeeks most important web page and help different Geeks. Please write comments if you discover something incorrect, or you need to share more information about the subject mentioned above.
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