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Optimization applications of Goldbach's conjecture [PDF]
Heliyon, 2023 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.
Bertrand M.T. Lin +2 more
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Journal of Computing, Data, and ExplorationWe discuss the Goldbach Conjecture, a famously unsolved problem in number theory. One of its iterations states that every positive odd number greater than 7 can be written as the sum of three odd primes. In particular, we consider Christian Goldbach and Leonard Euler’s correspondence and their early discussions of the Goldbach Conjecture. We also state
Joseph R. Keen
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A simple proof for Goldbach's conjecture [PDF]
In this article a proof is proposed for Goldbach's conjecture, both for the strong and the weak versions of the conjecture, using a new method that although simple, it has a certain subtlety that simplifies all the deductions regarding how to demonstrate the proof that Goldbach's conjecture is absolutely correct.
Pedro Alejandro Chou Rodríguez
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Goldbach's Conjecture — A Route to the Inconsistency of Arithmetic
, 2020 Ralf Wüsthofen
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The Binary Goldbach Conjecture [PDF]
JOHME: Journal of Holistic Mathematics Education, 2021 The Goldbach conjecture, one of the oldest problems in mathematics, has fascinated and inspired many mathematicians for ages. In 1742 a German mathematician Christian Goldbach, in a letter addressed to Leonhard Euler proposed a conjecture. The modern day version of the Binary/Strong Goldbach conjecture asserts that: Every even integer ...
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On the Universal Encoding Optimality of Primes
Mathematics, 2021 The factorial-additive optimality of primes, i.e., that the sum of prime factors is always minimum, implies that prime numbers are a solution to an integer linear programming (ILP) encoding optimization problem. The summative optimality of primes follows
Ioannis N. M. Papadakis
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Smarandache Sequences: Explorations and Discoveries with a Computer Algebra System [PDF]
, 2000 Study of Smarandache sequences of numbers, and related problems, via a Computer Algebra. Sy::;tem.
Gouveia, Paulo, Torres, Delfim
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GRAPH AND GOLDBACH CONJECTURE [PDF]
International Journal of Pure and Apllied Mathematics, 2013 In this paper, the new direction of proof of Gold Bach conjecture "every even number n greater than 2 can be expressed as a sum of two primes" has been forwarded with the help of some graph theoretic concept which seems to be very easy. This new direction gives the application graph theory in prov- ing the conjectural problem Gold Bach conjecture of ...
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SMARANDACHE RELATIONSHIPS AND SUBSEQUENCES [PDF]
, 2014 Some Smarandache relationships between the terms of a given sequenceare studied in the fIrst paragraph. In the second paragraph, are studied Smarandache subsequences (whose terms have the same property as the initial sequence). In the third paragraph are
Bencze, M.
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Una aproximación a la Conjetura de Goldbach
Ecomatemático, 2019 One of the mathematical problems that seems to be very true, but lacks a demonstration, is Goldbach's conjecture posed since 1742.The present article makes a critical analysis, where several proposals for its solution were compiled, with a ...
Ingrid Yurley Parada-Buitrago +2 more
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