The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
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!)
A108893 Difference of primes pairs alternating between form 4k+3 and 4k+1. 0

%I #5 Mar 30 2012 18:40:01

%S 4,4,4,4,4,8,4,4,4,4,12,4,4,4,8,8,4,8,4,12,12,12,8,8,8,4,4,4,4,4,4,8,

%T 4,12,4,4,8,8,4,4,4,8,4,4,8,4,12,4,8,4,4,24,4,12,12,4,8,4,4,12,4,16,

%U 24,8,4,4,4,4,12,4,12,4,8,16,4,4,8,8,16,4,8,4,8,8,12,4,28,4,12,20,4,12,4,8

%N Difference of primes pairs alternating between form 4k+3 and 4k+1.

%C a(n)>=4 because prime p and prime p + 2 (twin primes) are never at the same time of the form 4k+3 or 4k+1.

%F a(n) = A108811(2n) - A108811(2n-1).

%e a(1)=4 because the difference primes pairs of form 4k+3 11 and 7 = 4;

%e a(2)=4 because the difference primes pairs of form 4k+1 17 and 13 = 4.

%Y Cf. A108811, increasing consecutive prime pairs alternating between form 4k+3 and 4k+1.

%K easy,nonn

%O 1,1

%A _Giovanni Teofilatto_, Jul 15 2005

%E Extended by _Ray Chandler_, Jul 21 2005

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 May 23 05:11 EDT 2024. Contains 372758 sequences. (Running on oeis4.)