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Swinnerton-Dyer Polynomial

The minimal Polynomial $S_n(x)$ whose Roots are sums and differences of the Square Roots of the first $n$ Primes,

\begin{displaymath}
S_n(x)=\prod(x\pm\sqrt{2}\pm\sqrt{3}\pm\sqrt{5}\pm\ldots\pm\sqrt{p_n}\,).
\end{displaymath}


References

Vardi, I. Computational Recreations in Mathematica. Redwood City, CA: Addison-Wesley, pp. 11 and 225-226, 1991.




© 1996-9 Eric W. Weisstein
1999-05-26