login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo

Thanks to everyone who made a donation during our annual appeal!
To see the list of donors, or make a donation, see the OEIS Foundation home page.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A086701 n-th prime number raised to the n-th composite number. 3
16, 729, 390625, 40353607, 25937424601, 23298085122481, 168377826559400929, 15181127029874798299, 6132610415680998648961, 210457284365172120330305161, 671790528819082282036142601601, 855531895666462872887391390111637, 302862043149743582494593171234930481 (list; graph; refs; listen; history; text; internal format)
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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified January 22 19:39 EST 2020. Contains 331153 sequences. (Running on oeis4.)