On cluster primes
Christian Elsholtz (2003)
Acta Arithmetica
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Christian Elsholtz (2003)
Acta Arithmetica
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Yingchun Cai (2002)
Acta Arithmetica
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Yong-Gao Chen (2012)
Acta Arithmetica
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Douglas Hensley, Ian Richards (1974)
Acta Arithmetica
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Dubner, Harvey (2005)
Journal of Integer Sequences [electronic only]
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Müller, Tom (2006)
Experimental Mathematics
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Chaumont, Alain, Müller, Tom (2006)
Journal of Integer Sequences [electronic only]
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Sondow, Jonathan, Nicholson, John W., Noe, Tony D. (2011)
Journal of Integer Sequences [electronic only]
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Alfred Rényi (1951)
Compositio Mathematica
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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...
J. Wu (2008)
Acta Arithmetica
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J. Wu (2004)
Acta Arithmetica
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M. C. Liu, T. Z. Wang (2002)
Acta Arithmetica
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D. I. Tolev (2002)
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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