login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A071824 Number of x with largest prime factor of the form 4k+1 less than or equal to n. 0

%I #5 Mar 30 2012 18:39:03

%S 0,0,0,1,1,1,1,1,2,2,2,3,3,4,4,5,5,5,6,6,6,6,6,7,8,8,8,9,10,10,10,10,

%T 11,11,11,12,12,13,14,15,15,15,15,16,16,16,16,16,17,18,19,20,20,20,20,

%U 20,21,21,22,23,23,23,23,24,24,24,25,25,25,25,25,26,27,28,28,28,29,29

%N Number of x with largest prime factor of the form 4k+1 less than or equal to n.

%C Conjecture : for n > 1000 a(n) - n/2 < - sqrt(n) ( if b(n) denotes the number of x with largest prime factor of the form 4k+3 less than or equal to n, it is conjectured that if n > 1000 b(n)- n/2 > sqrt(n) )

%o (PARI) for(n=2,200,print1(sum(i=2,n,if((component(component(factor(i),1),omega(i))-1)%4,0,1)),","))

%K easy,nonn

%O 1,9

%A _Benoit Cloitre_, Jun 07 2002

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 24 13:22 EDT 2024. Contains 371954 sequences. (Running on oeis4.)