A new look at Brun's sieve
H. Halberstam, H.-E. Richert (1971)
Mémoires de la Société Mathématique de France
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H. Halberstam, H.-E. Richert (1971)
Mémoires de la Société Mathématique de France
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Broughan, Kevin A., Barnett, A.Ross (2009)
Journal of Integer Sequences [electronic only]
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Giordano, George (2002)
International Journal of Mathematics and Mathematical Sciences
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I. R. Shafarevich (2000)
The Teaching of Mathematics
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R. Miech (1964)
Acta Arithmetica
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P. Erdös (1965)
Acta Arithmetica
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C. Stewart (1975)
Acta Arithmetica
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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...
Akbik, Safwan (1999)
International Journal of Mathematics and Mathematical Sciences
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Douglas Hensley, Ian Richards (1974)
Acta Arithmetica
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