Optimization applications of Goldbach's conjecture
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Updated: Jul 12, 2025

A Simple Method for the Size Controlled Synthesis of Stable Oligomeric Clusters of Gold Nanoparticles under Ambient Conditions
Published on: February 5, 2016
Bertrand M T Lin1, Shin-Mei Lin2, Shyong Jian Shyu3
1National Yang Ming Chiao Tung University, Institute of Information Management, Hsinchu 300, Taiwan.
Abstract:
Goldbach's conjecture is an unsolved legendary problem. In this paper, we investigate an optimization problem as an attempt to discuss potential applications of the conjecture. In an optimization perspective, the research question, modelled from design of base components, is to select a minimum number of primes to span a given set of target even integers. We formally define the problem, propose integer programming formulations, and develop solution procedures, which are then tested through a computational study.
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