|
|
A227346
|
|
Distance between consecutive pairs of primes differing by 6 (p, p+6).
|
|
4
|
|
|
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
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
LINKS
|
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]
|
|
FORMULA
|
|
|
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 *)
|
|
CROSSREFS
|
Cf. A023201 (n and n+6 are primes).
Cf. A053320 (differences for Cousin primes).
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|