Artin prime producing quadratics



Fix an integerg. The primesp such thatg is a primitive root forp are calledArtin primes. Using a mixture of heuristics, well-known conjectures and rigorous arguments an algorithm is given to find quadratics that produce many Artin primes. Using this algorithmY. Gallot has found ag and a quadraticf such that the first 31082 primes produced byf haveg as a primitive root. There is a connection with finding integersd such thatL(2, (d/·)) is small.

2000 Mathematics Subject Classification

11Y55 11A07 11B83 


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Copyright information

© Mathematische Seminar 2007

Authors and Affiliations

  1. 1.Max-Planck-Institut für MathematikBonnDeutschland

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