A set of Positive integers is said to be Diophantine Iff there exists a Polynomial with integral coefficients
in indeterminates such that

It has been proved that the set of Prime numbers is a Diophantine set.

**References**

Ribenboim, P. *The New Book of Prime Number Records.* New York: Springer-Verlag, pp. 189-192, 1995.

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1999-05-24