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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).
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).
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
KEYWORD
nonn
AUTHOR
Leroy Quet, Jul 13 2009
EXTENSIONS
More terms from Michel Marcus, Sep 05 2019
STATUS
approved