Swinnerton-Dyer Polynomial

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

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

References

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