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Srinivasan, B. R.
- Formulae for the nth Prime
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Affiliations
1 Madras University, Madras, IN
1 Madras University, Madras, IN
Source
The Journal of the Indian Mathematical Society, Vol 25, No 1 (1961), Pagination: 33-39Abstract
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.- An Elementary Proof of the Prime Number theorem with a Remainder Term
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Authors
Affiliations
1 Bharathidasan University, Tiruchirapalli— 620 023 Tamilnadu, IN
2 Sri Vasavi College, Erode-631 316, Tamihiadu, IN
1 Bharathidasan University, Tiruchirapalli— 620 023 Tamilnadu, IN
2 Sri Vasavi College, Erode-631 316, Tamihiadu, IN