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Primes are nonnegative values of a polynomial in 10 variables

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Publication:1145721
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DOI10.1007/BF01404106zbMath0446.10046MaRDI QIDQ1145721

Yu. V. Matiyasevich

Publication date: 1981

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)


zbMATH Keywords

recursively enumerable setconstructionpolynomial with integer coefficients of ten variablesset of all prime numbers


Mathematics Subject Classification ID

Applications of computability and recursion theory (03D80) Recursively (computably) enumerable sets and degrees (03D25) Primes (11A41) Connections of number theory and logic (11U99)


Related Items (3)

Further results on Hilbert's tenth problem ⋮ Prime representing polynomial ⋮ Recent developments in primality proving



Cites Work

  • An unsolvable problem in number theory
  • Diophantine Representation of the Set of Prime Numbers
  • Hilbert's Tenth Problem is Unsolvable
  • Reduction of an arbitrary diophantine equation to one in 13 unknowns
  • Unsolvable Diophantine Problems
  • Existential Definability in Arithmetic
  • Arithmetical problems and recursively enumerable predicates




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