On Sieve method and Goldbach problem
Yuan Wang (1978-1979)
Séminaire Delange-Pisot-Poitou. Théorie des nombres
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Yuan Wang (1978-1979)
Séminaire Delange-Pisot-Poitou. Théorie des nombres
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Chaumont, Alain, Müller, Tom (2006)
Journal of Integer Sequences [electronic only]
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Müller, Tom (2006)
Experimental Mathematics
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Christian Elsholtz (2003)
Acta Arithmetica
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Cameron L. Stewart (1984-1985)
Groupe d'étude en théorie analytique des nombres
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Jean-Marie De Koninck, Jason Pierre Sweeney (2001)
Colloquium Mathematicae
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The main objective of this paper is to analyze the unimodal character of the frequency function of the largest prime factor. To do that, let P(n) stand for the largest prime factor of n. Then define f(x,p): = #{n ≤ x | P(n) = p}. If f(x,p) is considered as a function of p, for 2 ≤ p ≤ x, the primes in the interval [2,x] belong to three intervals I₁(x) = [2,v(x)], I₂(x) = ]v(x),w(x)[ and I₃(x) = [w(x),x], with v(x) < w(x), such that f(x,p) increases for p ∈ I₁(x), reaches its maximum...
Yong-Gao Chen (2012)
Acta Arithmetica
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Křížek, Michal, Luca, Florian, Shparlinski, Igor E., Somer, Lawrence (2011)
Journal of Integer Sequences [electronic only]
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Martin Huxley (1984)
Acta Arithmetica
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Alfred Rényi (1951)
Compositio Mathematica
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Sondow, Jonathan, Nicholson, John W., Noe, Tony D. (2011)
Journal of Integer Sequences [electronic only]
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Dubner, Harvey (2005)
Journal of Integer Sequences [electronic only]
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