A165812 Ultraprimorials: a(n) = p#^p#.

1, 4, 46656, 205891132094649000000000000000000000000000000

Offset: 0

Author

Paolo P. Lava and Giorgio Balzarotti, Sep 28 2009

Keywords

• easy
• nonn

Comments

The n-th Primorial raised to its own power.

Terms from a(4) on have 488, 7770, 134461 and 2913994 digits (A195188) and are too large to be listed explicitly.

Links

• Eric Weisstein's World of Mathematics, Ultraprimorial

Crossrefs

Cf. A002110, A046882

Programs

Maple

P:=proc(i) local a,n; a:=1; print(1); for n from 1 by 1 to i do a:=a*ithprime(n); print(a^a); od; end: P(10);

Formula

a(n) = A000312(A002110(n)) . [R. J. Mathar, Sep 29 2009]

Extensions

Slightly edited by R. J. Mathar, Sep 29 2009