2,1

We do not begin with the unit 1 because it has no prime factors. Conjecture: The sequence contains the set of prime numbers more than once.

Table of n, a(n) for n=2..97.

The geometric mean is the n-th root of the product of n numbers.

Gm = (a(1)*a(2)*...*a(n))^(1/n).

12=2*2*3 has 3 factors; 12^(1/3) = 2.289428... so 2 is in the 11th position in the sequence.

(PARI) g(n) = for(x=2, n, print1(floor(x^(1/bigomega(x)))", "))

Sequence in context: A277698 A134194 A308707 * A086112 A138798 A277708

Adjacent sequences: A158581 A158582 A158583 * A158585 A158586 A158587

dead

Cino Hilliard, Mar 21 2009

approved