Geodesic
On Minimal Sets of Generators for Primitive Roots
Canadian mathematical bulletin, Tome 38 (1995) no. 4, pp. 465-468

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DOI

A conjecture of Brown and Zassenhaus (see [2]) states that the first log/? primes generate a primitive root (mod p) for almost all primes p. As a consequence of a Theorem of Burgess and Elliott (see [3]) it is easy to see that the first log2p log log4+∊p primes generate a primitive root (mod p) for almost all primes p. We improve this showing that the first log2 p/ log log p primes generate a primitive root (mod p) for almost all primes p.
DOI : 10.4153/CMB-1995-068-4
Mots-clés : 11N56, 11A07, sieve theory, primitive roots, Riemann hypothesis 
Pappalardi, Francesco. On Minimal Sets of Generators for Primitive Roots. Canadian mathematical bulletin, Tome 38 (1995) no. 4, pp. 465-468. doi: 10.4153/CMB-1995-068-4
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     title = {On {Minimal} {Sets} of {Generators} for {Primitive} {Roots}},
     journal = {Canadian mathematical bulletin},
     pages = {465--468},
     year = {1995},
     volume = {38},
     number = {4},
     doi = {10.4153/CMB-1995-068-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1995-068-4/}
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