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!)
A053319 Distance between the smaller members of successive twin prime pairs. 11
2, 6, 6, 12, 12, 18, 12, 30, 6, 30, 12, 30, 12, 6, 30, 12, 30, 12, 30, 36, 72, 12, 30, 60, 48, 30, 18, 24, 18, 150, 12, 6, 30, 24, 138, 12, 18, 12, 30, 60, 78, 48, 12, 12, 18, 108, 24, 30, 6, 120, 12, 48, 30, 24, 66, 84, 6, 54, 18, 48, 30, 54, 6, 24, 18, 12, 96, 30, 42, 30, 42 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Conjecture: a(n) < log(A014574(n))^3 for n > 2. - Thomas Ordowski, Jul 21 2012
This is of course also the distance between the larger members of successive twin primes. - Franklin T. Adams-Watters, Jun 03 2014
LINKS
MATHEMATICA
Differences[Transpose[Select[Partition[Prime[Range[450]], 2, 1], Last[#]-First[#]==2&]][[1]]] (* Harvey P. Dale, Feb 08 2011 *)
PROG
(PARI) {cnt=0; lp= /*last*/ ltp=/*last twin(upper)*/ 5;
forprime(p=lp+1, default(primelimit), if(p-lp != 2, lp=p; next);
write("b053319.txt", cnt++" "p-ltp); /* print1(p-ltp", "); */ ltp=lp=p)} \\ M. F. Hasler, May 26 2007
CROSSREFS
First differences of A001359, A006512, and of A014574.
Sequence in context: A087560 A071892 A064797 * A253215 A075779 A241301
KEYWORD
nonn
AUTHOR
Labos Elemer, Mar 06 2000
EXTENSIONS
Definition clarified by Harvey P. Dale, Feb 08 2011
STATUS
approved

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 29 11:52 EDT 2024. Contains 372940 sequences. (Running on oeis4.)