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A284696 Numbers of the form p^^k, with p prime and k>=0, where ^^ denotes tetration. 2
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, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

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

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).

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

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

LINKS

Rémy Sigrist, Table of n, a(n) for n = 1..10000

Wikipedia, Tetration

EXAMPLE

16 = 2^^3 is in the sequence.

CROSSREFS

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

Sequence in context: A231878 A285304 A036844 * A033070 A211781 A046022

Adjacent sequences:  A284693 A284694 A284695 * A284697 A284698 A284699

KEYWORD

nonn

AUTHOR

Rémy Sigrist, Apr 01 2017

STATUS

approved

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Last modified September 25 23:23 EDT 2020. Contains 337346 sequences. (Running on oeis4.)