A135611

[Alexander Povolotsky]

below is even better ;-)

(11:44) gp > solve(x=3,4,sqrt(exp(1)-x/2) + sqrt(exp(1)+x/2) -x)
%11 = 3.142153292542580733700683505

2008/3/5 Alexander Povolotsky <apovolot at gmail.com>:
> By the way is below known/interesting ?
>
>  sqrt(e-Pi/2) + sqrt(e+Pi/2) ~= 3.142216467362486483529141519 ~= Pi
>
>  gp > sqrt(exp(1)-Pi/2) + sqrt(exp(1)+Pi/2)
>  = 3.142216467362486483529141519
>
>  At least it gives better approximation of Pi than
>
>  sqrt(2) + sqrt(3) ~=  3.146264369941972342329135...
>
>  Alexander R. Povolotsky
>