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Limit of the power tower t(2)^(t(3)^(t(5)^(t(7)^(...)))) with t(n)=n^(1/n) and n taking prime values.
2

%I #3 Mar 30 2012 17:38:59

%S 1,8,6,0,2,0,9,4,1,1,4,5,5,6,0,6,5,6,2,2,9,1,7,3,1,9,7,6,2,0,8,2,1,8,

%T 6,2,4,7,3,8,9,8,9,8,9,8,7,6,0,3,5,8,6,5,5,7,7,1,9,8,3,0,0,8,7,6,6,6,

%U 1,7,4,6,5,1,1,1,7,8,6,1,5,8,2,8,1,1,8,6,9,8,7,2,7,9,7,5,9,9,9,9

%N Limit of the power tower t(2)^(t(3)^(t(5)^(t(7)^(...)))) with t(n)=n^(1/n) and n taking prime values.

%e 1.860209411455606562291731976208218624738989898760358655771983008766617465111786158281186987279759999...

%o (PARI) default(realprecision,100):t=1:forstep(n=100,1,-1,t=(prime(n)^(1/prime(n)))^t):return(t)

%Y Cf. A100120, A098454, A098584 and references in these.

%K cons,nonn

%O 1,2

%A Mark Hudson (mrmarkhudson(AT)hotmail.com), Nov 09 2004

%E Offset corrected by _R. J. Mathar_, Feb 05 2009