A100121 Limit of the power tower t(2)^(t(3)^(t(5)^(t(7)^(...)))) with t(n)=n^(1/n) and n taking prime values.
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, 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, 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
Offset: 1
Examples
1.860209411455606562291731976208218624738989898760358655771983008766617465111786158281186987279759999...
Programs
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PARI
default(realprecision,100):t=1:forstep(n=100,1,-1,t=(prime(n)^(1/prime(n)))^t):return(t)
Extensions
Offset corrected by R. J. Mathar, Feb 05 2009