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Mathematics of Computation

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Quadratic polynomials which have a high density of prime values

Authors: G. W. Fung and H. C. Williams
Journal: Math. Comp. 55 (1990), 345-353
MSC: Primary 11N32; Secondary 11-04, 11Y35
MathSciNet review: 1023759
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Abstract: The University of Manitoba Sieve Unit is used to find several values of $A ( > 0)$ such that the quadratic polynomial ${x^2} + x + A$ will have a large asymptotic density of prime values. The Hardy-Littlewood constants which characterize this density are also evaluated.

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Article copyright: © Copyright 1990 American Mathematical Society