The calculation of pn and pin

Abstract

A new approach is presented for the calculation of pn and pin which uses the Lambert W function. An approximation is first found and using a calculation technique it makes it possible to have an estimate of these two quantities more precise than those known from Cipolla and Riemann. The calculation of p(n) uses an approximation using the Lambert W function and an estimate based on a logarithmic least square curve (LLS) cn.

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