Geodesic
A property of the set of prime numbers
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 66 (2011) no. 2, pp. 209-220

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A phenomenon of interdependency between the structure of positive integers and the form of their prime factors is discovered. This paper was prepared for publication by E. A. Karatsuba and M. E. Changa, based on A. A. Karatsuba's drafts and notes from 2007–2008. Details of calculations are due to Changa. Bibliography: 10 titles.
Keywords: prime factors, arithmetic progressions. 
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     title = {A property of the set of prime numbers},
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A. A. Karatsuba. A property of the set of prime numbers. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 66 (2011) no. 2, pp. 209-220. http://geodesic.mathdoc.fr/item/RM_2011_66_2_a0/