On the additive theory of prime numbers II
| dc.creator | Cegielski, Patrick | |
| dc.creator | Richard, Denis | |
| dc.creator | Vsemirnov, Maxim | |
| dc.date | 2006-09-20 | |
| dc.date.accessioned | 2026-07-07T07:24:59Z | |
| dc.date.available | 2026-07-07T07:24:59Z | |
| dc.description | 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. | |
| dc.identifier | https://arxiv.org/abs/math/0609554 | |
| dc.identifier | http://arxiv.org/abs/math/0609554 | |
| dc.identifier | CSIT'2005 (Computer Science and Information Technologies, September 19-23, 2005, Yerevan, Armenia) (2005) 39-47 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/116579 | |
| dc.subject | Logic | |
| dc.title | On the additive theory of prime numbers II | |
| dc.type | text |