A132661 - OEIS

%I #11 Oct 17 2024 08:24:35

%S 27,823543,17069174130723235958610643029059314756044734431

%N Mersenne prime M(n) raised to power M(n).

%C A Mersenne prime is a prime of the form 2^p - 1 where p is a prime.

%H Amiram Eldar, <a href="/A132661/b132661.txt">Table of n, a(n) for n = 1..4</a>

%H Chris K. Caldwell, <a href="https://t5k.org/mersenne/index.html">Mersenne Primes</a>.

%H Omar E. Pol, <a href="http://www.polprimos.com">Determinacion geometrica de los numeros primos y perfectos</a>.

%F a(n) = A000312(A000668(n)). - _Amiram Eldar_, Oct 17 2024

%e a(2) = 823543 because M(2) = 7 and we can write 823543 = 7^7 or 823543 = 7*7*7*7*7*7*7.

%t Map[(2^#-1)^(2^#-1) &, MersennePrimeExponent[Range[3]]] (* _Amiram Eldar_, Oct 17 2024 *)

%Y Cf. A000043, A000312, A000668, A086166.

%K nonn

%O 1,1

%A _Omar E. Pol_, Aug 25 2007