On the additive theory of prime numbers II

Abstract : The undecidability of the additive theory of primes (with identity) as well as the theory Th(N,+, n -> p_n), where p_n denotes the (n+1)-th prime, are open questions. As a possible approach, we extend the latter theory by adding some extra function. In this direction we show the undecidability of the existential part of the theory Th(N, +, n -> p_n, n -> r_n), where r_n is the remainder of p_n divided by n in the euclidian division.
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Communication dans un congrès
Yuri Shoukourian. 2005, The National Academy of Sciences of Armenia Publishers, pp.39-47, 2005
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Soumis le : mercredi 20 septembre 2006 - 14:33:57
Dernière modification le : jeudi 11 janvier 2018 - 06:19:28
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Patrick Cegielski, Denis Richard, Maxim Vsemirnov. On the additive theory of prime numbers II. Yuri Shoukourian. 2005, The National Academy of Sciences of Armenia Publishers, pp.39-47, 2005. 〈hal-00096769〉

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