BibTeX
@MISC{Saouter_improvedbounds,
author = {Yannick Saouter},
title = {Improved Bounds for Goldback Conjecture},
year = {}
}
Bookmark
 |
 |
 |
 |
 |
 |
OpenURL
Abstract
: Goldach's conjecture states that every even integer greater or equal to 6 is the sum of two prime numbers. This result is still unproved. This conjecture has been numerically checked up to 4:10 11 on an IBM 3083 mainframe. We describe here an implementation on a less powerful machine which raises the bound to 10 12 . Key-words: Prime numbers; Goldbach's problem (R'esum'e : tsvp) CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE Centre National de la Recherche Scientifique Institut National de Recherche en Informatique (URA 227) Universit e de Rennes 1 -- Insa de Rennes et en Automatique -- unit e de recherche de Rennes Am'eliorations de bornes au sujet de la conjecture de Goldbach (premi`ere version) R'esum'e : La conjecture de Goldbach stipule que tout nombre pair sup'erieur ou 'egal `a 6 est somme de deux nombres premiers. Ce r'esultat est `a ce jour non d'emontr'e. Il a 'et'e v'erifi'e num'eriquement jusqu'`a 4:10 11 sur un IBM 3083. Nous d'ecrivons ici une impl'ementation...
Citations
| 285 | Gprof: A call graph execution profiler - Graham, Kessler, et al. - 1982 |
| 208 | The Art of Computer Programming, Seminumerical Algorithms - Knuth - 1998 |
| 181 | Riemann’s hypothesis and tests for primality - Miller - 1976 |
| 105 | The New Book of Prime Number Records - Ribenboim - 1995 |
| 39 | On the representation of a large even integer as the sum of a prime and the product of at most two primes, Sci. Sinica 16 - Chen - 1973 |
| 15 | On strong pseudoprimes to several bases - Jaeschke |
| 10 | On composite numbers P which satisfy the Fermat congruence a P \Gamma1 j 1 (mod P - Carmichael - 1912 |
| 10 | There are infinitely many Carmichael - Alford, Granville, et al. - 1994 |
| 3 | Checking the goldbach conjecture up to 4:10 - Sinisalo - 1993 |
| 2 | On odd Goldbach problem under general Riemann hypothesis - Wang, Chen - 1993 |
| 1 | additive Eigenschaften von Zahlen - Uber - 1933 |
| 1 | de Lune, and H.J.J. te Riele. Number Theory and Applications, chapter Checking the Goldbach conjecture on a vector computer - Granville, van - 1989 |
