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Diophantine Representation of the Set of Prime Numbers

James P. Jones, Daihachiro Sato, Hideo Wada, Douglas P. Wiens

American Mathematical Monthly · 1976 · 89 citations · 7 references

DOI

Concepts

Abstract

(1976). Diophantine Representation of the Set of Prime Numbers. The American Mathematical Monthly: Vol. 83, No. 6, pp. 449-464.

References

7

An introduction to the theory of numbers

Journal of the Franklin Institute · 1960 · 3.7K citations

, , +8

Hilbert's Tenth Problem is Unsolvable

Martin Davis · American Mathematical Monthly · 1973 · 373 citations

, , +5

The Decision Problem for Exponential Diophantine Equations

Martin Davis, Hilary Putnam, Julia Robinson · Annals of Mathematics · 1961 · 329 citations

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Existential definability in arithmetic

Julia Robinson · Transactions of the American Mathematical Society · 1952 · 99 citations · Full text

, , +7

Reduction of an arbitrary diophantine equation to one in 13 unknowns

Yuri Matijasevič, Julia Robinson · Acta Arithmetica · 1975 · 97 citations · Full text

, , +6