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On the numbers that determine the distribution of twin primes [PDF]
Surveys in Mathematics and its Applications, 2018 This paper is about a class of numbers indirectly connected to the twin primes, which have not been investigated so far. With the help of these numbers, we look at the set of twin primes from a different perspective and bring the reader's attention to ...
Antonie Dinculescu
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On the twin-prime problem, II [PDF]
Acta Arithmetica, 1967 The twin-prime problem, which was stated by LANDAU in his Cambridge-Congress lecture in 1912 as the second main problem of the analytical number theory asks whether or not there exists an infinity of prime-pairs (p, q) with p - q = 2 or more generally with p - q = 2l (l fixed integer).
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Conjecture of twin primes (Still unsolved problem in Number Theory). An expository essay [PDF]
Surveys in Mathematics and its Applications, 2017 The purpose of this paper is to gather as much results of advances, recent and previous works as possible concerning the oldest outstanding still unsolved problem in Number Theory (and the most elusive open problem in prime numbers) called "Twin primes ...
Hayat Rezgui
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Largest known twin primes [PDF]
Mathematics of Computation, 1996 The numbers 697053813 ⋅ 2 16352 ± 1 697053813\cdot 2^{16352}\pm 1 are twin primes.
Indlekofer, Karl-Heinz, Járai, Antal
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On the sum of partition norms and its connection to norms of partitions with parts greater than one [PDF]
Notes on Number Theory and Discrete MathematicsWe study the —the product of the parts of a partition—with emphasis on partitions whose parts all exceed 1. We obtain two bivariate recurrences for the sum of norms over partitions into distinct parts, including a refinement that separates the ...
Meenakshi Rana +2 more
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Endodontology, 2020 The emergence of COVID-19 pandemic poses an immense global health challenge. As dental care providers, we are faced with significant responsibilities both to the dental team and our patients to limit exposure to the virus.
Jogikalmat Krithikadatta +4 more
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Positive geometry, local triangulations, and the dual of the Amplituhedron
Journal of High Energy Physics, 2021 We initiate the systematic study of local positive spaces which arise in the context of the Amplituhedron construction for scattering amplitudes in planar maximally supersymmetric Yang-Mills theory. We show that all local positive spaces relevant for one-
Enrico Herrmann +3 more
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Discussiones Mathematicae Graph Theory, 2016 We show that every 3-regular circle graph has at least two pairs of twin vertices; consequently no such graph is prime with respect to the split decomposition.
Traldi Lorenzo
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Animal, 2020 The Australian prime lamb industry is seeking to improve lean meat yield (LMY) as a means to increasing efficiency and profitability across the whole value chain.
M.I. Knight +8 more
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Catalan numbers, primes, and twin primes
Elemente der Mathematik, 2008 Dieser Artikel beabsichtigt, einige Beziehungen zwischen Catalan-Zahlen, Primzahlen und Primzahlzwillingen darzustellen, indem nur elementare arithmetische Begriffe angewendet, gleichzeitig aber auch viele (historische) Bezuge fur den an einer weiteren Ausfuhrung interessierten Leser angeboten werden.
Aebi, Christian., Cairns, Grant.
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