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A284696 Numbers of the form p^^k, with p prime and k>=0, where ^^ denotes tetration. 2

%I #6 Apr 02 2017 10:03:30

%S 1,2,3,4,5,7,11,13,16,17,19,23,27,29,31,37,41,43,47,53,59,61,67,71,73,

%T 79,83,89,97,101,103,107,109,113,127,131,137,139,149,151,157,163,167,

%U 173,179,181,191,193,197,199,211,223,227,229,233,239,241,251,257

%N Numbers of the form p^^k, with p prime and k>=0, where ^^ denotes tetration.

%C Also numbers n such that A284694(n)=A284695(n).

%C Also numbers with no distinct prime numbers in their prime tower factorization (see A182318 for the definition of the prime tower factorization of a number).

%C Also numbers n such that A279513(n) is a power of prime (A000961).

%C This sequence is the union of 1, the prime numbers (A000040), and A275211.

%H Rémy Sigrist, <a href="/A284696/b284696.txt">Table of n, a(n) for n = 1..10000</a>

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Tetration">Tetration</a>

%e 16 = 2^^3 is in the sequence.

%Y Cf. A000040, A000961, A182318, A275211, A279513, A284694, A284695.

%K nonn

%O 1,2

%A _Rémy Sigrist_, Apr 01 2017

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Last modified April 16 05:35 EDT 2024. Contains 371697 sequences. (Running on oeis4.)