Some observations on the greatest prime factor of an integer


We examine the multiplicity of the greatest prime factor in k-full numbers and k-free numbers. We generalize a well-known result on greatest prime factors and obtain formulas related with the Riemann zeta function.


greatest prime factor; zeta function

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Published : 2022-11-23

JakimczukR. (2022). Some observations on the greatest prime factor of an integer. Annales Mathematicae Silesianae, 37(1), 67-81. Retrieved from

Rafael Jakimczuk
División Matemática, Universidad Nacional de Luján, Buenos Aires  Argentina

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