Suppose p, q are primes with p = 2q + 1. Under what conditions on q is 5 a primitive root modulo p?
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Originally Posted by vinnie100 Suppose p, q are primes with p = 2q + 1. Under what conditions on q is 5 a primitive root modulo p? First observe . In this case, is a primitive root modulo (Ask if you'd like to see why.) Note By Euler's Criterion, So is a primitive root modulo .
Last edited by chiph588@; March 27th 2010 at 12:01 PM.
Thanks very much! It makes perfect sense. I could not progress before since I could not see the trick of using Euler's criterion. Thanks again!
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