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# An Upper Bound on the Least Inert Prime in a Real Quadratic Field

Published:2000-04-01
Printed: Apr 2000
• Andrew Granville
• R. A. Mollin
• H. C. Williams
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## Abstract

It is shown by a combination of analytic and computational techniques that for any positive fundamental discriminant $D > 3705$, there is always at least one prime $p < \sqrt{D}/2$ such that the Kronecker symbol $\left(D/p\right) = -1$.
 MSC Classifications: 11R11 - Quadratic extensions 11Y40 - Algebraic number theory computations

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