login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A167132 Gaps between twin prime pairs. 3
0, 4, 4, 10, 10, 16, 10, 28, 4, 28, 10, 28, 10, 4, 28, 10, 28, 10, 28, 34, 70, 10, 28, 58, 46, 28, 16, 22, 16, 148, 10, 4, 28, 22, 136, 10, 16, 10, 28, 58, 76, 46, 10, 10, 16, 106, 22, 28, 4, 118, 10, 46, 28, 22, 64, 82, 4, 52, 16, 46, 28, 52, 4, 22, 16, 10, 94, 28, 40, 28, 40, 166 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Let G_n denote the twins gap between two consecutive twins, thus a twins gap is the difference between two consecutive twins (p_n, p_n+2) and (p_m, p_m+2), i.e., the difference between p_m and p_n+2. G_n = p_m - (p_n +2) We have: G_1 = 0, G_2 = 4, G_3 = 4, G_4 = 10.

LINKS

T. D. Noe, Table of n, a(n) for n = 1..10000

Program to generate the sequence

FORMULA

a(n) = A001359(n+1) - A006512(n). - R. J. Mathar, Oct 29 2009

MAPLE

A001359 := proc(n) if n = 1 then 3; else a := nextprime(procname(n-1)) ; while not isprime(a+2) do a := nextprime(a) ; od: return a; fi; end: A006512 := proc(n) A001359(n)+2 ; end: A167132 := proc(n) A001359(n+1)-A006512(n) ; end: seq(A167132(n), n=1..120) ; # R. J. Mathar, Oct 29 2009

MATHEMATICA

ps = Prime[Range[1000]]; p2 = Flatten[Position[Differences[ps], 2]]; Differences[ps[[p2]]] - 2 (* T. D. Noe, Jan 10 2012 *)

CROSSREFS

Sequence in context: A220044 A219828 A219714 * A168326 A101256 A116569

Adjacent sequences:  A167129 A167130 A167131 * A167133 A167134 A167135

KEYWORD

nonn

AUTHOR

Oleg Zyakun, Oct 28 2009

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified August 15 00:26 EDT 2020. Contains 336484 sequences. (Running on oeis4.)