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I am looking for proof of the following result in elementary form ( Powell/ 1983, Kearnes/ 1984):

For any positive integer N, there exist infinitely many primes p such that N < {smallest primitive root mod p} < p — N.

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The references you mention (almost certainly from Ribenboim's book) DO give an elementary proof (Kearnes does, that is). So, you are asking for someone to either post the PDF or type in the proof from the paper. Neither is an acceptable request. – Igor Rivin Jun 20 at 3:37

closed as not a real question by Igor Rivin, Chandan Singh Dalawat, Dan Petersen, Andres Caicedo, Brendan McKay Jun 21 at 9:19

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