

A166475


4th level primorials: product of first n superduperprimorials.


7




OFFSET

0,2


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


LINKS



FORMULA

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


EXAMPLE

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.


CROSSREFS



KEYWORD

nonn,easy


AUTHOR



EXTENSIONS



STATUS

approved



