Korean J. Math. Vol. 30 No. 2 (2022) pp.335-339
DOI: https://doi.org/10.11568/kjm.2022.30.2.335

Prime producing polynomials with some degrees

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Published: Jun 30, 2022
Keywords:
Prime-producing function, Quadratic polynomial
Mathematics Subject Classification:
11N32, 11N80

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Seungheon Lee
Institute of Science Education for the Gifted and Talented, Yonsei University, Seoul, 03722, Korea
Geon Choi
Institute of Science Education for the Gifted and Talented, Yonsei University, Seoul, 03722, Korea
Jinseo Park
Department of Mathematics Education, Catholic Kwandong University, Gangneung 25601, Korea

Abstract

In this paper, we find the forms of polynomials which generate consecutive prime values. Then, we consider about general form of polynomials and apply on the quadratics and tertiaries.



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References

[1] R. A. Mollin, Prime-Producing Quadratics, Amer. Math. Monthly 104, (1997), 529–544. Google Scholar