Primitive root producing quadratics

Details Primitive root producing quadratics Primitive root producing quadratics

2004-06-02

arxiv.org/abs/math/0406033v2

Abh. Math. Sem. Univ. Hamburg 77 (2007), 109-127

Mathematics

Number Theory

17 pages, includes some examples due to Yves Gallot and a (conditional) result essentially due to Andrew Granville. Record has

Scientific paper

D.H. Lehmer found a quadratic polynomial such that 326 is a primitive root for the first 206 primes represented by this polynomial. It is shown that this is related to the class number one problem and prime producing quadratics. An algorithm is described to find more impressive examples in the same spirit. Y. Gallot used it to establish the current record in which 206 is being replaced by 31082.

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