FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2000, VOLUME 6, NUMBER 2, PAGES 583-597

Analytical form of the Eratosthenes sieve

H. A. Smirnova (Bitner)

Abstract

View as HTML     View as gif image    View as LaTeX source

A solution of the problem for deducing the formula expressing i+1-st prime number pi+1 through pk, 1 £ k £ i, is offered. In so doing the integer table functions bk(n) and b'k(n) are introduced.

Two recurrence formulas of prime pi+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.

Main page Contents of the journal News Search

Location: http://mech.math.msu.su/~fpm/eng/k00/k002/k00215h.htm
Last modified: September 1, 2000