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 A275211 Numbers of the form p^^k, where p is prime, k > 1, and ^^ is the tetration operator: x^^y = x^x^...^x with y copies of x. 2
 4, 16, 27, 3125, 65536, 823543, 285311670611, 7625597484987, 302875106592253, 827240261886336764177, 1978419655660313589123979, 20880467999847912034355032910567 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Charles R Greathouse IV, Table of n, a(n) for n = 1..79 Wikipedia, Tetration FORMULA For any prime number, p, p tetrated x times, where x is any integer greater than 1, is a prime tetration. EXAMPLE a(1) = 2^^2 = 2^2 = 4. a(2) = 2^^3 = 2^2^2 = 16. a(3) = 3^^2 = 3^3 = 27. a(4) = 5^^2 = 5^5 = 3125. PROG (PARI) slogint(n, b)=if(nn<=lim, Set(v)) \\ Charles R Greathouse IV, Jul 19 2016 (PARI) is(n)=my(p, e); e=isprimepower(n, &p); e && (e==p || (e%p==0 && is(e))) \\ Charles R Greathouse IV, Jul 19 2016 CROSSREFS Cf. A000040. Sequence in context: A046366 A227609 A219338 * A046361 A228167 A017569 Adjacent sequences: A275208 A275209 A275210 * A275212 A275213 A275214 KEYWORD nonn AUTHOR Tyler Skywalker, Jul 19 2016 EXTENSIONS a(5) inserted, a(10)-a(12) corrected by Charles R Greathouse IV, Jul 19 2016 STATUS approved

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Last modified April 21 01:42 EDT 2024. Contains 371850 sequences. (Running on oeis4.)