Sierpinski's constant
Encyclopedia
Sierpiński's constant is a mathematical constant
usually denoted as K. One way of defining it is by limiting the expression:
where r2(k) is a number of representations of k as a sum of the form a2 + b2 for natural
a and b.
Its value is:
Mathematical constant
A mathematical constant is a special number, usually a real number, that is "significantly interesting in some way". Constants arise in many different areas of mathematics, with constants such as and occurring in such diverse contexts as geometry, number theory and calculus.What it means for a...
usually denoted as K. One way of defining it is by limiting the expression:
where r2(k) is a number of representations of k as a sum of the form a2 + b2 for natural
Natural number
In mathematics, the natural numbers are the ordinary whole numbers used for counting and ordering . These purposes are related to the linguistic notions of cardinal and ordinal numbers, respectively...
a and b.
Its value is:
External links
- http://www.scenta.co.uk/tcaep/science/constant/details/sierpinskisconstant.xml
- http://pi.lacim.uqam.ca/piDATA/sierpinski.txt - Sierpiński's constant up to 2000th decimal digit.