Linnik's Constant

Linnik's constant  is the constant appearing in Linnik's theorem. Heath-Brown (1992) has shown that , and Schinzel, Sierpiński, and Kanold (Ribenboim 1989) have conjectured that .

REFERENCES:

Finch, S. R. "Linnik's Constant." §2.12 in Mathematical Constants. Cambridge, England: Cambridge University Press, pp. 127-130, 2003.

Guy, R. K. Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, p. 13, 1994.

Heath-Brown, D. R. "Zero-Free Regions for Dirichlet -Functions and the Least Prime in an Arithmetic Progression." Proc. London Math. Soc. 64, 265-338, 1992.

Ribenboim, P. The New Book of Prime Number Records. New York: Springer-Verlag, 1989.