Chebyshev-Sylvester Constant

In 1891, Chebyshev and Sylvester showed that for sufficiently large x, there exists at least one prime number p satisfying


where . Since the prime number theorem shows the above inequality is true for all for sufficiently large x, this constant is only of historical interest.



References

Le Lionnais, F. Les nombres remarquables. Paris: Hermann, p. 22, 1983.