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AN ATTEMPT TO PROVE CHRISTIAN GOLDBACH’S CONJECTURE
Journal of Interdisciplinary DebatesThe purpose of this work is to present an attempt to demonstrate Christian Goldbach’s conjecture (1690, 1764) commented on on pages 8 to 12. Therefore, the aforementioned theme contributes positively to the teaching-learning process and has an essential ...
Antonio Robson Barros
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Solving Goldbach's Conjecture using Gaussian Arithmetic and A Probabilistic Model
Global Journal of Human-Social Science ResearchThis paper proves that Goldbach's conjecture is true. The proof uses Gaussian modular arithmetic to calculate the number of pairs of odd numbers, KT , whose sum is a given even number, n, as well as, the number, KE, of those that can potentially contain ...
Emilio A. Diarte-Carot
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2014
This paper has been replaced by the paper "Goldbach's Conjecture — A Route to the Inconsistency of Arithmetic".
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This paper has been replaced by the paper "Goldbach's Conjecture — A Route to the Inconsistency of Arithmetic".
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1993
In this chapter we investigate the question of the representation of an odd integer N as the sum of three prime numbers (the Goldbach Conjecture). We shall prove I.M. Vinogradov’s theorem on the asymptotic formula for the number of representations of N as the sum of three primes, from which it will follow that every sufficiently large odd number can be
Anatolij A. Karatsuba +1 more
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In this chapter we investigate the question of the representation of an odd integer N as the sum of three prime numbers (the Goldbach Conjecture). We shall prove I.M. Vinogradov’s theorem on the asymptotic formula for the number of representations of N as the sum of three primes, from which it will follow that every sufficiently large odd number can be
Anatolij A. Karatsuba +1 more
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Proof of a New Circle Method of Goldbach’s Conjecture
Lecture Notes in Education, Arts, Management and Social ScienceIn this paper, a novel circle method is introduced which, compared to previous approaches, eliminates the need to explicitly estimate the prime-variable triangle sum on the residual interval [1].
Sheng Yao
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Datasets - Goldbach's Conjecture
2021These were some of the files generated using a series of Java programs to test my theory about Goldbach's Conjecture.
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Goldbach’s conjecture in max-algebra
Computational Management Science, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The second goldbach conjecture revisited
BIT, 1968Goldbachs Vermutung, daß jede ungerade Zahl \(>7\) die Summe von drei ungeraden Primzahlen ist, \(S =p + q+ r\), wird hier dahin abgeändert, daß jede ungerade Zahl \(>5\) die Summe \(S = 2p + q\) hat. Verf. baut auf seiner früheren Arbeit [ibid. 6, 48--50 (1966; Zbl 0141.04302)] auf und zeigt in Tafel 1 Beziehungen zwischen \(n\), \(q(n)\) und \(q'(n)\)
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Descrizione per Zenodo (Italiano) Questo lavoro presenta un approccio predittivo e unificato alla congettura di Goldbach, fondato sulla struttura geometrica della spirale di Fibonacci e sulla quantizzazione dei gap tra numeri primi. Viene introdotta una nuova formula operativa che collega la somma di ogni numero pari a una coppia di numeri primi ...
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This paper presents a proof of Goldbach's Conjecture by modeling the problem as a connectivity theorem in an additive graph constructed from the prime number set. Using a contradiction-based strategy and leveraging modern prime gap bounds, we demonstrate that every even integer must be the sum of two primes.
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