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The ternary Goldbach Problem

Oberwolfach'tan

The ternary Goldbach Problem

Leonhard Euler (1707–1783) – one of the greatest mathematicians of the eighteenth century and of all times – often corresponded with a friend of his, Christian Goldbach (1690–1764), an amateur and polymath who lived and worked in Russia, just like Euler himself. In a letter written in June 1742, Goldbach made a conjecture – that is, an educated guess – on prime numbers:

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

“It seems [ … ] that every positive integer greater than 2 can be written as the sum of three prime numbers.”

In this snapshot, we will describe to what extent the mathematical community has resolved Goldbach’s conjecture, with some emphasis on recent progress.

If you are interested in translating this Snapshot, please contact us at info@imaginary.org

Matematiksel konular

Cebir ve Sayılar Kuramı

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Bilgisayar Bilimeri

Yazar(lar)

Harald Helfgott

Lisans

DOI (Dijital nesne belirteci)

10.14760/SNAP-2014-003-EN

PDF indir

snapshot-2014-003.pdf

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      Matematiksel konular

      Cebir ve Sayılar Kuramı
      Analiz
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      Ayrık Matematik ve Matematiğin Temelleri
      Geometri ve Topoloji
      Nümerik ve Hesap Analizi
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