Looking for elementary proof source - MathOverflow [closed] most recent 30 from http://mathoverflow.net 2013-05-18T20:06:49Z http://mathoverflow.net/feeds/question/100069 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/100069/looking-for-elementary-proof-source Looking for elementary proof source Serge 2012-06-20T03:01:20Z 2012-06-20T03:27:36Z <p>I am looking for proof of the following result in elementary form ( Powell/ 1983, Kearnes/ 1984):</p> <p>For any positive integer N, there exist infinitely many primes p such that N &lt; {smallest primitive root mod p} &lt; p — N.</p>