A068210 n-th prime's factorial raised to n-th prime power.

4, 216, 24883200000, 82606411253903523840000000, 409933016554924328182440935903164918932547530146724293451448320000000000000000000000

Offset

1,1

Comments

a(5) through a(10) have this many decimal digits: 84, 128, 248, 325, 516 and 898, respectively.

Links

Harvey P. Dale, Table of n, a(n) for n = 1..10

Formula

a(n) = (prime(n)!)^prime(n).

Example

a(3) = 24883200000 because the 3rd prime is 5 and 5!^5 = 120^5 = 24883200000.

Mathematica

(#!)^#&/@Prime[Range[5]] (* Harvey P. Dale, Dec 17 2025 *)

Prog

(PARI) for(n=1, 5, print1(prime(n)!^prime(n), ", "))

Crossrefs

Sequence in context: A268362 A072694 A248099 * A078693 A222421 A025420

Adjacent sequences: A068207 A068208 A068209 * A068211 A068212 A068213

Keyword

easy,nonn

Author

Rick L. Shepherd, Mar 24 2002

Status

approved