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Quadratic Non-Residues and Prime-Producing Polynomials
Published online by Cambridge University Press: 20 November 2018
Abstract
We will be looking at quadratic polynomials having positive discriminant and having a long string of primes as initial values. We find conditions tantamount to this phenomenon involving another long string of primes for which the discriminant of the polynomial is a quadratic non-residue. Using the generalized Riemann hypothesis (GRH) we are able to determine all discriminants satisfying this connection.
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- Copyright © Canadian Mathematical Society 1989
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