A158584 Erroneous version of A079866.

2, 3, 1, 5, 2, 7, 1, 3, 3, 11, 2, 13, 3, 3, 1, 17, 2, 19, 2, 4, 4, 23, 2, 4, 5, 3, 3, 29, 3, 31, 1, 5, 5, 5, 2, 37, 6, 6, 2, 41, 3, 43, 3, 3, 6, 47, 2, 7, 3, 7, 3, 53, 2, 7, 2, 7, 7, 59, 2, 61, 7, 3, 1, 8, 4, 67, 4, 8, 4, 71, 2, 73, 8, 4, 4, 8, 4, 79, 2, 3, 9, 83, 3, 9, 9, 9, 3, 89, 3, 9, 4, 9, 9, 9, 2, 97

Offset

2,1

Comments

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.

Links

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

Formula

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

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

Example

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

Prog

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

Crossrefs

Sequence in context: A277698 A134194 A308707 * A086112 A138798 A277708

Adjacent sequences: A158581 A158582 A158583 * A158585 A158586 A158587

Keyword

dead

Author

Cino Hilliard, Mar 21 2009

Status

approved