A374414 - OEIS

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A374414

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

1, 16, 2676, 3236, 7296, 181876, 269306, 325726, 470451, 473321, 540556, 566701, 1000981, 1083931, 1197961, 1273561, 1343666, 1456856, 1754426, 1847806, 1944091, 2420091, 2468811, 2472451, 2476126, 2670971, 2682451, 3152746, 3199541, 3272341, 3300061, 3352036

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OFFSET

1,2

COMMENTS

All terms are congruent to 1 (mod 5). - Peter Munn, Jul 12 2024

LINKS

Table of n, a(n) for n=1..32.

Norman Luhn, The big database of the smallest prime k-tuplets, with a link to a compressed file with 10^6 terms of A022008.

FORMULA

a(n) = (A022008(n)-1)/6. - Michael S. Branicky, Jul 08 2024

MATHEMATICA

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