Euclid Prime Sequences over Unique Factorization Domains

DOI10.1080/10586458.2008.10129035zbMath1216.11107OpenAlexW1973292423MaRDI QIDQ3546258

Takakazu Satoh, Nobushige Kurokawa

Publication date: 18 December 2008

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.em/1227118967

zbMATH Keywords

polynomial factorizationprime sequencesShanks conjecture

Mathematics Subject Classification ID

Polynomials, factorization in commutative rings (13P05) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Arithmetic theory of polynomial rings over finite fields (11T55) Factorization; primality (11A51)

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The Euclid-Mullin graph ⋮ Square-free smooth polynomials in residue classes and generators of irreducible polynomials

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