Artin prime producing quadratics
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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 Classification11Y55 11A07 11B83
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