A374414 - OEIS

%I #32 Jul 12 2024 18:44:30

%S 1,16,2676,3236,7296,181876,269306,325726,470451,473321,540556,566701,

%T 1000981,1083931,1197961,1273561,1343666,1456856,1754426,1847806,

%U 1944091,2420091,2468811,2472451,2476126,2670971,2682451,3152746,3199541,3272341,3300061,3352036

%N Numbers k such that 6k+1, 6k+5, 6k+7, 6k+11, 6k+13 and 6k+17 are prime.

%C All terms are congruent to 1 (mod 5). - _Peter Munn_, Jul 12 2024

%H Norman Luhn, <a href="https://pzktupel.de/smarchive.php">The big database of the smallest prime k-tuplets</a>, with a link to a compressed file with 10^6 terms of A022008.

%F a(n) = (A022008(n)-1)/6. - _Michael S. Branicky_, Jul 08 2024

%t Select[Range[4*10^6], And @@ PrimeQ[6*# + {1, 5, 7, 11, 13, 17}] &] (* _Amiram Eldar_, Jul 08 2024 *)

%Y Cf. A022008.

%K nonn

%O 1,2

%A _Hans Pleijsier_, Jul 08 2024