A302722 - OEIS

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

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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