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Finding a primitive root of a prime number

Is there a way to determine the primitive element of $Zp$ ? (where p is a prime) If there is no general method, then I would also like to know if this is possible for special types of primes

Thank you

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marked as duplicate by lhf, tomasz, Noah Snyder, rschwieb, TMM Nov 11 '12 at 14:09

This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.

I think you mean primitive root. No simple method is known. See…. – lhf Nov 10 '12 at 14:19
I think he means primitive element. – Jesko Hüttenhain Nov 10 '12 at 14:21
I meant primitive elemeny – user48896 Nov 10 '12 at 14:23
Aren't those two the same thing? – joriki Nov 10 '12 at 14:25
A little confusing, but if one writes "a generator of the (multiplicative) group $\,\left(\Bbb Z/p\Bbb Z\right)^*\,$" then, perhaps, things clear off. – DonAntonio Nov 10 '12 at 14:42

Maybe Page 20 in this script will help you.

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