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Quadratic Polynomials which have a High Density of Prime Values

Quadratic Polynomials which have a High Density of Prime Values

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.