OFFSET
1,2
COMMENTS
All k's are multiples of 3 because all twin primes except (3,5) are of the form (6*k-1, 6*k+1). - Jonathan Vos Post, Mar 31 2006
LINKS
Amiram Eldar, Table of n, a(n) for n = 1..10000
Eric Weisstein's World of Mathematics, Twin Primes.
FORMULA
a(n) = 3 * (A002822(n)-1). [Corrected by Georg Fischer, Oct 19 2023]
MATHEMATICA
Reap[Do[If[PrimeQ[2n+5]&&PrimeQ[2n+7], Sow[n]], {n, 0, 1000}]][[2, 1]]
Select[Range[0, 1000], AllTrue[2#+{5, 7}, PrimeQ]&] (* The program uses the AllTrue function from Mathematica version 10 *) (* Harvey P. Dale, May 25 2019 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Zak Seidov, Mar 30 2006
STATUS
approved