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Linnik's Constant


Linnik's constant L is the constant appearing in Linnik's theorem. Heath-Brown (1992) has shown that L<=5.5, and Schinzel, Sierpiński, and Kanold (Ribenboim 1989) have conjectured that L=2.


See also

Linnik's Theorem

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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 L-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.

Referenced on Wolfram|Alpha

Linnik's Constant

Cite this as:

Weisstein, Eric W. "Linnik's Constant." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/LinniksConstant.html

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