A166475 4th level primorials: product of first n superduperprimorials.

1, 2, 48, 414720, 270888468480000, 30900096179361042923520000000000, 1848494880770448654906901042987600267878400000000000000000000

Offset: 0

Author

Matthew Vandermast, Nov 05 2009

Keywords

• nonn
• easy

Comments

Next term has 110 digits.

a(n) = first counting number with n distinct positive tetrahedral exponents in its prime factorization (cf. A000292).

Note: a(n) is not the first counting number with n distinct square exponents in its prime factorization, as previously stated. That sequence is A212170. - Matthew Vandermast, May 23 2012

Examples

			a(3) = 414720 = 2^10*3^4*5^1 has 3 positive tetrahedral exponents in its prime factorization (cf. A000292).  It is the smallest number with this property.
		

Links

• Dario Alpern, Factorization using the Elliptic Curve Method

Crossrefs

Subsequence of A025487.

Cf. A002110, A006939, A066120 for first, second and third level primorials.

Formula

a(n) = Product_{k=1..n} prime(k)^((n-k+1)^2).

Extensions

Offset corrected by Matthew Vandermast, Nov 07 2009

Edited by Matthew Vandermast, Nov 10 2009, May 23 2012

Name changed by Arkadiusz Wesolowski, Feb 21 2014