A074739 Numbers n such that omega(n) > log(log(n)).

2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 18, 20, 21, 22, 24, 26, 28, 30, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99

Offset

1,1

Comments

Erdős showed that this sequence has density 1/2.

Links

Amiram Eldar, Table of n, a(n) for n = 1..10000

Paul Erdős, Note on the number of prime divisors of integers, J. London Math. Soc., Vol. 12 (1937), pp. 308-314; alternative link.

Formula

a(n) ~ 2n. - Charles R Greathouse IV, Dec 05 2012

Mathematica

Select[Range[2, 100], PrimeNu[#] > Log[Log[#]] &] (* Amiram Eldar, Feb 09 2020 *)

Prog

(PARI) is(n)=omega(n) > log(log(n)) \\ Charles R Greathouse IV, Dec 05 2012

Crossrefs

Cf. A001221.

Sequence in context: A023784 A028823 A258264 * A341750 A246096 A098314

Adjacent sequences: A074736 A074737 A074738 * A074740 A074741 A074742

Keyword

easy,nonn

Author

Benoit Cloitre, Sep 05 2002

Status

approved