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A158584 Erroneous version of A079866. 0
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified June 4 05:58 EDT 2020. Contains 334816 sequences. (Running on oeis4.)