

A086701


nth prime number raised to the nth composite number.


3



16, 729, 390625, 40353607, 25937424601, 23298085122481, 168377826559400929, 15181127029874798299, 6132610415680998648961, 210457284365172120330305161, 671790528819082282036142601601, 855531895666462872887391390111637, 302862043149743582494593171234930481
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OFFSET

1,1


COMMENTS

This sequence arises as a result of exponentiation with the terms of the sequence A000040 used as the base and the terms of the sequence A002808 used as the exponent.


LINKS

Table of n, a(n) for n=1..13.


FORMULA

a(n) = A000040(n)^A002808(n).


EXAMPLE

a(3)=5^8=390625 because 5 is the 3rd prime number and 8 is the 3rd composite number.


MATHEMATICA

p2c[n_]:=Module[{prs=Prime[Range[n]], cmps}, cmps=Take[Complement[Range[4, Last[prs]], prs], n]; First[#]^Last[#]&/@Thread[{prs, cmps}]]; p2c[20] (* Harvey P. Dale, Jan 20 2012 *)


CROSSREFS

Cf. A000040, A002808, A086650.
Sequence in context: A171736 A062206 A209537 * A218297 A307923 A159375
Adjacent sequences: A086698 A086699 A086700 * A086702 A086703 A086704


KEYWORD

easy,nonn


AUTHOR

Christopher M. Tomaszewski (cmt1288(AT)comcast.net), Jul 28 2003


EXTENSIONS

Corrected and extended by Harvey P. Dale, Jan 20 2012


STATUS

approved



