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

Author

Rémy Sigrist, Apr 01 2017

Keywords

• nonn

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.

Examples

			16 = 2^^3 is in the sequence.
		

Links

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

Crossrefs

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