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 A225548 Numbers of the form prime(i)^2^(i-1) or prime(i)^2^(j-1)*prime(j)^2^(i-1) with i and j distinct integers. 2

%I #4 May 13 2013 00:18:24

%S 2,9,12,80,625,1792,2025,321489,720896,5764801,937890625,5208653241,

%T 55834574848,2234039306640625,45949729863572161,313160411915961129,

%U 313594649253062377472,7123773809250362976481,664987601339817047119140625,992334624064536108066118386802209

%N Numbers of the form prime(i)^2^(i-1) or prime(i)^2^(j-1)*prime(j)^2^(i-1) with i and j distinct integers.

%C These numbers are the "basic" fixed points of A225546.

%H Paul Tek, <a href="/A225548/b225548.txt">Table of n, a(n) for n = 1..60</a>

%e 5764801 = 7^8 = prime(4)^2^(4-1); hence 5764801 is in the sequence.

%e 2234039306640625 = 5^16*11^4 = prime(3)^2^(5-1)*prime(5)^2^(3-1); hence 2234039306640625 is in the sequence.

%Y Cf. A000040, A000079, A225547.

%K nonn

%O 1,1

%A _Paul Tek_, May 10 2013

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Last modified May 21 12:49 EDT 2024. Contains 372736 sequences. (Running on oeis4.)