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!)
A098398 Number of primes that are not less than prime(n)-Log2(Log2(prime(n))) and not greater than prime(n)+Log2(Log2(prime(n))), where Log2=A000523. 2

%I #3 Mar 30 2012 18:50:45

%S 1,1,1,1,1,1,2,2,1,2,2,1,2,2,1,1,2,2,1,2,2,1,1,1,1,2,2,2,2,1,1,1,2,2,

%T 2,2,1,1,1,1,2,2,2,2,2,2,1,1,2,2,1,2,2,1,1,1,2,2,1,2,2,1,1,2,2,1,1,1,

%U 2,2,1,1,1,1,1,1,1,1,1,1,2,2,2,2,1,1,1,1,2,2,1,1,1,1,1,1,1,2,2,1,1,1,1,2,2

%N Number of primes that are not less than prime(n)-Log2(Log2(prime(n))) and not greater than prime(n)+Log2(Log2(prime(n))), where Log2=A000523.

%C a(n) = A000720(A098392(n)) - A000720(A098393(n)-1);

%C a(n) <= A098396(n) <= A098397(n) <= A097935(n);

%C a(n)<=2 for n<=6543; a(6544)=#{2^16+1=65537,65539,65543}=3.

%e a(10) = #{p prime: A098392(10) <= p <= A098393(10)} =

%e = #{p prime: 27 <= p <= 31} = #{29,31} = 2.

%K nonn

%O 1,7

%A _Reinhard Zumkeller_, Sep 06 2004

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 19 02:45 EDT 2024. Contains 371782 sequences. (Running on oeis4.)