FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
2000, VOLUME 6, NUMBER 2, PAGES 583-597
H. A. Smirnova (Bitner)
Abstract
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A solution of the problem for deducing the formula expressing
$i+1$ -st
prime number $p_{i+1}$ through $p_k$ , $1 \leq k \leq i$ ,
is offered. In so doing
the integer table functions $\beta_k(n)$ and $\beta'_k(n)$
are introduced.
Two recurrence formulas of prime $p_{i+1}$ are derived. The second
formula holds true under the assumption that between the squares
of two neighbouring prime numbers there is at least one prime number.
All articles are published in Russian.
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Last modified: September 1, 2000