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Le problème ternaire de Goldbach

Instantanés de recherche mathématique à Oberwolfach

Le problème ternaire de Goldbach

Leonhard Euler (1707–1783) – un des plus grands mathématiciens du dix-huitième siècle et de tous les temps – a entretenu une correspondance fréquente avec un de ses amis, Christian Goldbach (1690–1764), un amateur et esprit universel vivant et travaillant en Russie, tout comme Euler. Dans une lettre datée de juin 1742, Goldbach établit une conjecture – c’est-à-dire, une supposition éclairée – à propos des nombres premiers :

“Es scheinet wenigstens, dass eine jede Zahl, die größer ist als 2, ein aggregatum trium numerorum primorum sey.”

« Il semble que tout nombre entier naturel plus grand que 2 puisse être écrit comme la somme de trois nombres premiers. »

Dans cet instantané, nous décrirons dans quelle mesure la communauté mathématique a résolu la conjecture de Goldbach, en soulignant les progrès récents.

 

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Sujet mathématique

Algèbre et théorie des nombres

Liens avec d'autres domaines

Informatique

Auteur(s)

Harald Helfgott

Licence

DOI

10.14760/SNAP-2014-003-EN

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snapshot-2014-003.pdf

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      Sujet mathématique

      Algèbre et théorie des nombres
      Analyse
      Pédagogie et éducation
      Mathématiques discrètes et fondements des mathématiques
      Géométrie et Topologie
      Calcul numérique et calcul scientifique
      Théorie des probabilités et statistique

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