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On Giuga’s conjecture

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Abstract

In this paper we shall investigate Giuga’s conjecture which asserts an interesting characterization of prime numbers, just as Wilson’s Theorem. Some variations and consequences of the Giuga congruence are discussed by means of Bernoulli numbers. In addition, we shall study various quotients relating to the integers satisfying the Giuga congruence.

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Authors and Affiliations

  1. Department of Mathematics, Science University of Tokyo, Noda, 278, Chiba, Japan

    Takashi Agoh

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  1. Takashi Agoh
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To the memory of Suzuko Koshiba-Takamiya

This article was processed by the author using the LATEX style filecljourl from Springer-Verlag

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Agoh, T. On Giuga’s conjecture. Manuscripta Math 87, 501–510 (1995). https://doi.org/10.1007/BF02570490

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  • DOI: https://doi.org/10.1007/BF02570490

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