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A074739 Numbers n such that omega(n) > log(log(n)). 1

%I #18 Feb 09 2020 11:17:33

%S 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,

%T 36,38,39,40,42,44,45,46,48,50,51,52,54,55,56,57,58,60,62,63,65,66,68,

%U 69,70,72,74,75,76,77,78,80,82,84,85,86,87,88,90,91,92,93,94,95,96,98,99

%N Numbers n such that omega(n) > log(log(n)).

%C Erdős showed that this sequence has density 1/2.

%H Amiram Eldar, <a href="/A074739/b074739.txt">Table of n, a(n) for n = 1..10000</a>

%H Paul Erdős, <a href="https://doi.org/10.1112/jlms/s1-12.48.308">Note on the number of prime divisors of integers</a>, J. London Math. Soc., Vol. 12 (1937), pp. 308-314; <a href="http://www.renyi.hu/~p_erdos/1937-02.pdf">alternative link</a>.

%F a(n) ~ 2n. - _Charles R Greathouse IV_, Dec 05 2012

%t Select[Range[2, 100], PrimeNu[#] > Log[Log[#]] &] (* _Amiram Eldar_, Feb 09 2020 *)

%o (PARI) is(n)=omega(n) > log(log(n)) \\ _Charles R Greathouse IV_, Dec 05 2012

%Y Cf. A001221.

%K easy,nonn

%O 1,1

%A _Benoit Cloitre_, Sep 05 2002

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Last modified March 28 18:04 EDT 2024. Contains 371254 sequences. (Running on oeis4.)