A162752 a(1)=2^2. a(n) = the smallest p^q, p and q primes, that is > a(n-1), and where the base (p) of a(n) is the exponent (q) of a(n-1).

4, 8, 9, 32, 125, 243, 3125, 78125, 823543, 1977326743, 285311670611, 34522712143931, 302875106592253, 8650415919381337933, 827240261886336764177, 239072435685151324847153, 1978419655660313589123979, 257829627945307727248226067259, 20880467999847912034355032910567

Offset

1,1

Comments

a(n) = A162753(n-1)^A162753(n).

Links

Table of n, a(n) for n=1..19.

Mathematica

nxt[{a_, b_}]:=Module[{k=a}, While[b^k<=a^b, k=NextPrime[k]]; {b, k}]; #[[1]]^#[[2]]&/@ NestList[ nxt, {2, 2}, 20] (* Harvey P. Dale, Jun 12 2023 *)

Crossrefs

Cf. A162753.

Sequence in context: A076705 A306916 A355063 * A076966 A360758 A237607

Adjacent sequences: A162749 A162750 A162751 * A162753 A162754 A162755

Keyword

nonn

Author

Leroy Quet, Jul 13 2009

Extensions

More terms from Michel Marcus, Sep 05 2019

Status

approved