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Legendre's Constant

The number 1.08366 in Legendre's guess at the Prime Number Theorem

\pi(n)\sim{n\over \ln n-1.08366}.

This expression is correct to leading term only.


Le Lionnais, F. Les nombres remarquables. Paris: Hermann, p. 147, 1983.

Wagon, S. Mathematica in Action. New York: W. H. Freeman, pp. 28-29, 1991.

© 1996-9 Eric W. Weisstein