A086701 n-th prime number raised to the n-th composite number.

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

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 A339202 A307923

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