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The ternary Goldbach Problem
Snapshots of modern mathematics from Oberwolfach
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.
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Mathematical subjects
Algebra and Number Theory
Connections to other fields
Computer Science
License
DOI (Digital Object Identifier)
10.14760/SNAP-2014-003-EN
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snapshots: overview
Mathematical subjects
Algebra and Number Theory
Analysis
Didactics and Education
Discrete Mathematics and Foundations
Geometry and Topology
Numerics and Scientific Computing
Probability Theory and Statistics
Connections to other fields
Chemistry and Earth Science
Computer Science
Engineering and Technology
Finance
Humanities and Social Sciences
Life Science
Physics
Reflections on Mathematics