Quadratic Polynomials which have a High Density of Prime Values

DOI10.2307/2008810zbMath0701.11035OpenAlexW4233908215MaRDI QIDQ3478474

Hugh C. Williams, Gilbert Fung

Publication date: 1990

Full work available at URL: https://doi.org/10.2307/2008810

zbMATH Keywords

quadratic polynomialsHardy-Littlewood constanthigh asymptotic density of prime values

Mathematics Subject Classification ID

Algebraic number theory computations (11Y40) Primes represented by polynomials; other multiplicative structures of polynomial values (11N32) Evaluation of number-theoretic constants (11Y60)

Related Items (4)

New quadratic polynomials with high densities of prime values ⋮ The Bateman-Horn conjecture: heuristic, history, and applications ⋮ Artin prime producing quadratics ⋮ A note on the Bateman-Horn conjecture

Cites Work

• Unnamed Item
• Class numbers of cyclotomic fields
• The congruence \(2^{p-1}\equiv 1(\mod p^ 2)\) and quadratic forms with high density of primes
• A Sieve Method for Factoring Numbers of the Form n 2 + 1
• On the Conjecture of Hardy & Littlewood concerning the Number of Primes of the Form n 2 + a
• Integer Sequence having Prescribed Quadratic Character
• Supplementary Data and Remarks Concerning a Hardy-Littlewood Conjecture

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