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The ternary Goldbach problem [PDF]
The ternary Goldbach conjecture, or three-primes problem, states that every odd number $n$ greater than $5$ can be written as the sum of three primes. The conjecture, posed in 1742, remained unsolved until now, in spite of great progress in the twentieth
Helfgott, Harald Andrés
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Una aproximación a la Conjetura de Goldbach
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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Diophantine equations in semiprimes
Diophantine equations in semiprimes, Discrete Analysis 2019:17, 21 pp. This paper considers the problem of finding integer solutions to integral polynomial equations of the form $$f(x_1,\dots,x_n)=0\qquad\qquad (*)$$ with the condition that each ...
Shuntaro Yamagishi
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In this article I try to make my modest contribution to the proof of Goldbach’s Conjecture and I propose to simply go through its ...
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Ternary Goldbach Conjecture implies Strong Goldbach Conjecture
A simple argument proves the conjecture.
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ON GOLDBACH'S CONJECTURE [PDF]
This paper considers some aspects of Goldbach's conjecture as a conjecture and estimates the number of prime pairs in some intervals in order to portray a compelling picture of some of the computational issues generated by the conjecture.
Anthony G. Shannon, J.V Leyendekkers
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On Some Conjectures Related to the Goldbach Conjecture
The author first shows that every sufficiently large integer \(n\) can be written as the sum of a square and a \(P_3\) (an integer is called a \(P_r\), when it has at most \(r\) prime factors counted with multiplicity), and points out that in the latter representation, the \(P_3\) may be replaced by a \(P_2\) when \(n\) is not a square, by the work of \
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Abstract Oppression‐based stressors (OBS; e.g., heterosexism‐based stressors) are associated with a higher risk of trauma‐related symptoms and self‐injurious thoughts and behaviors (SITB) for queer (e.g., lesbian, gay, bisexual) adolescents. However, prior research has yet to examine posttraumatic stress symptoms (PTSS) and SITB in the context of the ...
Tara R. Sullivan +3 more
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The famous Goldbach conjecture states that any even natural number $N$ greater than $2$ can be written as the sum of two prime numbers $p^{\text{(I)}}$ and $p^{\text{(II)}}$.
Oleksandr V. Marchukov, Andrea Trombettoni, Giuseppe Mussardo, Maxim Olshanii
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Ultrathin Fe3O4 films grown on SrTiO3(001) were systematically studied with respect to film growth parameters to clarify the coexistence of (111) and (001) orientations. X‐ray diffraction analyses reveal the formation of an intermediate (111)‐oriented phase during the initial growth stage, which persists even after preferential (001) growth is ...
Andreas Alexander +10 more
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