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Method of Discriminating a Class of Special Prime Numbers

DOI: 10.4236/oalib.1115937, PP. 1-6

Subject Areas: Integral Equation, Number Theory

Keywords: Wieferich Prime Number, Detemination Method, Sufficient and Necessary Conditions, Fermat Quotient, Euler Quotient

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Abstract

It is very difficult to find a new Wieferich prime number. This paper uses Eisenstein congruence formula and Sun Zhihong congruence theorem to a method to determine Wieferich prime number. The Fermat quotient and Euler quotient are also studied in the paper.

Cite this paper

Zhou, Z. (2026). Method of Discriminating a Class of Special Prime Numbers. Open Access Library Journal, 13, e15937. doi: http://dx.doi.org/10.4236/oalib.1115937.

References

[1]  孙智宏. 数和数列[M]. 北京: 科学出版社, 2016: 108-109.
[2]  P.里本伯姆. 博大精深的素数[M]. 北京: 科学出版社, 2007: 20.

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