Bulletin of the Korean Mathematical Society (대한수학회보)

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ABOUT THE PERIOD OF BELL NUMBERS MODULO A PRIME

  • Published : 2008.02.29
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Abstract

Let p be a prime number. It is known that the order o(r) of a root r of the irreducible polynomial $x^p-x-l$ over $\mathbb{F}_p$ divides $g(p)=\frac{p^p-1}{p-1}$. Samuel Wagstaff recently conjectured that o(r) = g(p) for any prime p. The main object of the paper is to give some subsets S of {1,...,g(p)} that do not contain o(r).

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References

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