General Limit Formulae Involving Prime Numbers

Farhadian, Reza; Jakimczuk, Rafael

doi:10.2478/amsil-2022-0014

Abstract

Let p_n be the n th prime number. In this note, we study strictly increasing sequences of positive integers A_n such that the limit lim_n_→∞ (A₁A₂ · · · A_n)¹^/pn = e holds. This limit formula is in fact a generalization of some previously known results. Furthermore, some other generalizations are established.

References

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General Limit Formulae Involving Prime Numbers

Abstract

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