

A302722


a(n) is the nth prime number raised to the nth nonprime number.


0



2, 81, 15625, 5764801, 2357947691, 137858491849, 582622237229761, 799006685782884121, 266635235464391245607, 250246473680347348787521, 699053619999045038539170241, 23122483666661158276686253786801
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OFFSET

1,1


LINKS

Table of n, a(n) for n=1..12.


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: A187858 A072408 A318587 * A123177 A209585 A090603
Adjacent sequences: A302719 A302720 A302721 * A302723 A302724 A302725


KEYWORD

nonn


AUTHOR

Kritsada Moomuang, Apr 12 2018


STATUS

approved



