Landau-Ramanujan constant

In mathematics, the Landau-Ramanujan constant occurs in a number theory result that the proportion of positive integers less than x which are the sum of two square numbers is, for large x, roughly proportional to

Related Topics:
Mathematics - Number theory - Positive integer - Square number - Proportional

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:1/{sqrt{ln(x)}}.

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The constant of proportionality is the Landau-Ramanujan constant.

Related Topics:
Constant - Landau - Ramanujan

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More formally, if N(x) is the number of positive integers less than x which are the sum of two squares, then

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:lim_{x ightarrowinfty} rac{N(x)sqrt{ln(x)}}{x}pprox 0.76422365358922066299069873125.

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