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Goldbach’s conjecture in max-algebra
Computational Management Science, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Peter Szabó
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A study on Goldbach conjecture
Journal of Mathematical Chemistry, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ramon Carbö-D̈Orca
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1996
A natural number n always has a unique predecessor; it is either n - 1 or 0. The word “predecessor” will be understood to mean “immediate predecessor”. This is the fundamental concept in the theory of the natural numbers. If one takes “successor” as the basic concept and then postulates the existence of a sucessor to every natural number, one requires ...
David Booth, Renatus Ziegler
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A natural number n always has a unique predecessor; it is either n - 1 or 0. The word “predecessor” will be understood to mean “immediate predecessor”. This is the fundamental concept in the theory of the natural numbers. If one takes “successor” as the basic concept and then postulates the existence of a sucessor to every natural number, one requires ...
David Booth, Renatus Ziegler
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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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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This paper has been replaced by the paper "Goldbach's Conjecture — A Route to the Inconsistency of Arithmetic".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This paper has been replaced by the paper "Goldbach's Conjecture — A Route to the Inconsistency of Arithmetic".
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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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1996
Sometimes the most innocent question inspires the greatest effort in mathematics. Christian Goldbach (1690–1764) asked just such a question in 1742. Goldbach was a German mathematician who became professor of mathematics in 1725 in St. Petersburg, Russia. Three years later he traveled to Moscow to tutor Tsar Peter II.
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Sometimes the most innocent question inspires the greatest effort in mathematics. Christian Goldbach (1690–1764) asked just such a question in 1742. Goldbach was a German mathematician who became professor of mathematics in 1725 in St. Petersburg, Russia. Three years later he traveled to Moscow to tutor Tsar Peter II.
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On the second Goldbach conjecture
BIT, 1966The results in this paper suggest that Goldbach's conjecture that every odd number is the sum of three primes is true even under the requirement that two of the primes be the same and the third be “arbitrarily” small.
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On the Connection Between the Goldbach Conjecture and the Elliott-Halberstam Conjecture
Springer Proceedings in Mathematics and Statistics, 2021Jing-Jing Huang
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Group-Theoretic Remarks on Goldbach’s Conjecture
Advances in Pure Mathematics, 2022Liguo He, Gang Zhu
exaly