Diophantine representation of Mersenne and Fermat primes

DOI10.4064/aa-35-3-209-221zbMath0341.02036OpenAlexW828584324MaRDI QIDQ4108314

James P. Jones

Publication date: 1979

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/205634

zbMATH Keywords

perfect numbersdiophantine representation of Mersenne and Fermat primesrecursively enumerable sets of natural numbers

Mathematics Subject Classification ID

Decidability (number-theoretic aspects) (11U05) Decidability and field theory (12L05) Cubic and quartic Diophantine equations (11D25) Applications of computability and recursion theory (03D80) Linear Diophantine equations (11D04) Recursively (computably) enumerable sets and degrees (03D25) Primes (11A41) Diophantine equations (11D99)

Related Items (4)

Prime representing polynomial ⋮ Unnamed Item ⋮ What can and cannot be done with Diophantine problems ⋮ Infiniteness sets of primes, admitting diophantine representations in eight variables

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