A072694 (p(n)#)^p(n), or n-th primorial raised to n-th prime power.

4, 216, 24300000, 18010885410000000, 9993825885714653185036703100000000000, 16151740133123735772971793020980457559217933230000000000000

Offset

1,1

Comments

a(7) through a(10) have 98, 133, 193 and 285 digits, respectively.

Links

Table of n, a(n) for n=1..6.

Formula

a(n) = (p(n)#)^p(n), where p(n) is n-th prime and # denotes primorial (A002110).

Example

a(3) = 24300000 because (p(3)#)^p(3) = (5*3*2)^5 = 30^5 = 24300000.

Mathematica

With[{nn=6}, First[#]^Last[#]&/@Thread[{Rest[FoldList[Times, 1, Prime[ Range[nn]]]], Prime[Range[nn]]}]] (* Harvey P. Dale, Mar 16 2012 *)

Prog

(PARI) for(n=1, 6, print1((prod(k=1, n, prime(k)))^prime(n), ", "))

Crossrefs

Cf. A002110 (primorials), A068210 ((p(n)!)^p(n)).

Sequence in context: A036740 A038786 A268362 * A248099 A068210 A078693

Adjacent sequences: A072691 A072692 A072693 * A072695 A072696 A072697

Keyword

easy,nonn

Author

Rick L. Shepherd, Jul 03 2002

Status

approved