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

1,2

Links

Table of n, a(n) for n=1..100.

Example

1.860209411455606562291731976208218624738989898760358655771983008766617465111786158281186987279759999...

Prog

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

Crossrefs

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

Sequence in context: A004013 A010118 A226317 * A010526 A199473 A153617

Adjacent sequences: A100118 A100119 A100120 * A100122 A100123 A100124

Keyword

cons,nonn

Author

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

Extensions

Offset corrected by R. J. Mathar, Feb 05 2009

Status

approved