Formulae for the nth Prime

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Authors

  • Madras University, Madras ,IN

DOI:

https://doi.org/10.18311/jims/1961/16892

Abstract

The present paper arose out of an attempt to answer the classical questions raised in [1] about formulae for the rath prime pn. Here are obtained a number of recurrence formulae for pn as a symmetric function of the primes p1, p2, ..., pn-1. Also the existence of rational algebraic functions in n arguments, such that the limit of the ratio of their logarithms gives pn, is established. In [2], Isenkrahe has given a more complicated expression for pn in terms of the previous primes, but there is nothing in common, either in content or method, between his work and the present one.

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Published

1961-03-01

How to Cite

Srinivasan, B. R. (1961). Formulae for the nth Prime. The Journal of the Indian Mathematical Society, 25(1), 33–39. https://doi.org/10.18311/jims/1961/16892

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