A227346 Distance between consecutive pairs of primes differing by 6 (p, p+6).

2, 4, 2, 4, 6, 8, 6, 4, 6, 6, 8, 6, 6, 10, 14, 4, 2, 4, 24, 20, 6, 10, 6, 18, 2, 30, 4, 6, 18, 6, 6, 8, 6, 30, 4, 20, 16, 6, 14, 6, 10, 50, 10, 14, 4, 42, 38, 16, 6, 8, 16, 6, 8, 6, 6, 28, 6, 6, 24, 50, 6, 18, 70, 2, 30, 4, 20, 4, 60, 6, 24, 6, 14, 22, 20, 30

Offset: 1

Author

Luca Pezzullo, Jul 08 2013

Keywords

• nonn

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..1000
• Eric Weisstein's World of Mathematics, Sexy Primes. [The definition in this webpage is unsatisfactory, because it defines a "sexy prime" as a pair of primes.- _N. J. A. Sloane_, Mar 07 2021]
• Eric Weisstein's World of Mathematics, Prime Constellation

Crossrefs

Cf. A023201 (n and n+6 are primes).

Cf. A053320 (differences for Cousin primes).

Programs

Maple

with(numtheory): pre:=0: for n from 1 to 3000 do if isprime(n) and isprime(n+6) then if pre<>0 then printf("%d, ", n-pre) fi: pre:=n fi od: # adapted from original program by C. Ronaldo for A053320

Mathematica

Differences[Select[Prime[Range[200]], PrimeQ[# + 6] &]] (* T. D. Noe, Jul 09 2013 *)

Formula

a(n) = A023201(n+1) - A023201(n). - Zak Seidov, Sep 20 2013