login
(p^p)^p, where p is prime(n).
2

%I #18 Aug 01 2024 23:33:04

%S 16,19683,298023223876953125,

%T 256923577521058878088611477224235621321607,

%U 1019799756996130681763726671436132304456781416468067415248292558306065071863627636642030949423377254718066066358518538286207211

%N (p^p)^p, where p is prime(n).

%H Harry J. Smith, <a href="/A060205/b060205.txt">Table of n, a(n) for n=1..9</a>

%F Also p^(p^2).

%e a(3) = 298023223876953125 because the 3rd prime number is 5 and 5^(5^2) = 298023223876953125.

%t (#^#)^#&/@Prime[Range[5]] (* _Harvey P. Dale_, Aug 31 2015 *)

%o (PARI) { n=0; forprime (p=1, 25, write("b060205.txt", n++, " ", p^(p^2)); ) } \\ _Harry J. Smith_, Jul 02 2009

%o (Magma) [(n^n)^n: n in PrimesInInterval(1, 20)]; // _G. C. Greubel_, Aug 01 2024

%o (SageMath) [(n^n)^n for n in prime_range(1,20)] # _G. C. Greubel_, Aug 01 2024

%Y Subsequence of A002489.

%K easy,nonn

%O 1,1

%A _Walter Nissen_, Mar 18 2001