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

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

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 A348283

Adjacent sequences: A284693 A284694 A284695 * A284697 A284698 A284699

Keyword

nonn

Author

Rémy Sigrist, Apr 01 2017

Status

approved