OFFSET
1,1
COMMENTS
A prime sextuplet is a constellation of six successive primes with distance 16, and is of the form (p, p+4, p+6, p+10, p+12, p+16).
Initial members p (other than 7) of prime sextuplets are congruent to 97 (mod 210). - Ash, David, Aug 04 2017
LINKS
Arkadiusz Wesolowski, Table of n, a(n) for n = 1..5940
G. L. Honaker, Jr. and Chris Caldwell, Prime Curios!: 6763998516837
Eric Weisstein's World of Mathematics, Prime Constellation
Wikipedia, Prime quadruplet
FORMULA
a(6*n-5) = A022008(n).
MATHEMATICA
m = {0, 4, 6, 10, 12, 16}; Union@ Flatten@ Map[# + m &, Select[Prime@ Range[2*10^5], Times @@ Boole@ PrimeQ[# + m] == 1 &]] (* Michael De Vlieger, Jul 13 2016 *)
PROG
(Magma) lst:=[]; for p in [5..1615837 by 2] do if p le 7 xor p mod 210 eq 97 then if IsPrime(p) then t:=[c: c in [p+4..p+16] | IsPrime(c)]; if #t eq 5 then lst:=lst cat [p] cat t; end if; end if; end if; end for; lst;
CROSSREFS
KEYWORD
nonn,tabf
AUTHOR
Arkadiusz Wesolowski, Jul 12 2016
STATUS
approved