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 approximately:
- K ≈ 2.58498 17595 79253 21706 58936
- http://pi.lacim.uqam.ca/piDATA/sierpinski.txt - Sierpiński's constant up to 2000th decimal digit.