A302722 a(n) is the n-th prime number raised to the n-th nonprime number.

2, 81, 15625, 5764801, 2357947691, 137858491849, 582622237229761, 799006685782884121, 266635235464391245607, 250246473680347348787521, 699053619999045038539170241, 23122483666661158726686253786801, 7386879101213258109624223688656841, 863586854220408743801513785592407849

Offset

1,1

Links

Table of n, a(n) for n=1..14.

Formula

a(n) = A000040(n)^A018252(n).

Example

a(3) = 5^6 = 15625 because 5 is the 3rd prime number and 6 is the 3rd nonprime number.

Mathematica

Block[{p = Prime@ Range@ 12, k}, k = Complement[Range@ Max@ p, p]; Array[p[[#]]^k[[#]] &, Length@ p]] (* Michael De Vlieger, Apr 12 2018 *)

Prog

(PARI) lista(nn) = my(k=0); for (n=1, nn, if (!isprime(n), k++; print1(prime(k)^n, ", "))) \\ Michel Marcus, Apr 12 2018

Crossrefs

Cf. A000040, A018252, A086650, A086701.

Sequence in context: A352742 A072408 A318587 * A123177 A209585 A090603

Adjacent sequences: A302719 A302720 A302721 * A302723 A302724 A302725

Keyword

nonn

Author

Kritsada Moomuang, Apr 12 2018

Extensions

a(12) corrected and more terms by Georg Fischer, Dec 09 2022

Status

approved