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

Author

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

Keywords

• cons
• nonn

Examples

			1.860209411455606562291731976208218624738989898760358655771983008766617465111786158281186987279759999...
		

Crossrefs

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

Programs

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