On the order of magnitude of the difference between consecutive prime numbers
Harald Cramér (1936)
Acta Arithmetica
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Harald Cramér (1936)
Acta Arithmetica
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Yong-Gao Chen, Gabor Kun, Gabor Pete, Imre Z. Ruzsa, Adam Timar (2002)
Acta Arithmetica
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Paul Pollack (2009)
Acta Arithmetica
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Marco Riccardi (2006)
Formalized Mathematics
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The first four sections of this article include some auxiliary theorems related to number and finite sequence of numbers, in particular a primality test, the Pocklington's theorem (see [19]). The last section presents the formalization of Bertrand's postulate closely following the book [1], pp. 7-9.
K. Ramachandra (1971)
Acta Arithmetica
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Magdalena Jastrzebska, Adam Grabowski (2006)
Formalized Mathematics
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We formalized some basic properties of the Möbius function which is defined classically as [...] as e.g., its multiplicativity. To enable smooth reasoning about the sum of this number-theoretic function, we introduced an underlying many-sorted set indexed by the set of natural numbers. Its elements are just values of the Möbius function.The second part of the paper is devoted to the notion of the radical of number, i.e. the product of its all prime factors.The formalization (which is...
Jiahai Kan (2004)
Acta Arithmetica
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Nyman, Bertil, Nicely, Thomas R. (2003)
Journal of Integer Sequences [electronic only]
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K. Szymiczek (1964)
Colloquium Mathematicae
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Michael Filaseta (1988)
Acta Arithmetica
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P. Gallagher (1974)
Acta Arithmetica
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Florian Luca, Francesco Pappalardi (2007)
Acta Arithmetica
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Hongze Li (2001)
Acta Arithmetica
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