OFFSET
1,3
COMMENTS
prime(n) = floor(2^(n^2)*alpha(2))-2^(2*n-1)*floor(2^((n-1)^2)*alpha(2)). For n = 6 we have prime(6) = floor(2^36*alpha(2))-2^11*floor(2^25*alpha(2)) = 82282829837-2048*40177163 = 13.
REFERENCES
G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers, Clarendon Press, Oxford, 1979, page 345.
EXAMPLE
alpha(2) = 1.19737276453818886171347795420537819781902821399037219013\
077245140303647694034267909212754914431410431122998171762351103482006\
076264716653454638...
PROG
(PARI) suminf(i=1, prime(i)/2^(i^2)) \\ Michel Marcus, May 25 2018
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Vladeta Jovovic, Apr 03 2001
STATUS
approved