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A257304 Numbers n such that n, n+2, n+6, n+8, n+12, n+18, n+20, n+26, n+30, n+32, n+36, n+42, n+48, n+50 and n+56 are all prime.

%I A257304 #18 Apr 11 2022 22:04:42
%S A257304 11,44360646117391789301,80846604473064395081,85542881495337691541,
%T A257304 113615698477681825541,116591588863353569081,140245881111654813611,
%U A257304 204185491710368653601,227209370616659726411,238931301405879137171,441927344360107210721,457968514558418508761
%N A257304 Numbers n such that n, n+2, n+6, n+8, n+12, n+18, n+20, n+26, n+30, n+32, n+36, n+42, n+48, n+50 and n+56 are all prime.
%H A257304 Dana Jacobsen, <a href="/A257304/b257304.txt">Table of n, a(n) for n = 1..16</a> [first 8 terms computed by Hadley and Waldvogel (2001-2009)]
%H A257304 Tony Forbes and Norman Luhn, <a href="http://www.pzktupel.de/ktuplets.htm">Smallest Prime k-tuplets</a>
%H A257304 Norman Luhn, <a href="http://www.pzktupel.de/SMArchiv/15tup1.zip">Table of n, a(n) for n = 1..73 (up to 10^22)</a>
%o A257304 (Perl) use ntheory ":all"; say for sieve_prime_cluster(1,10**16, 2,6,8,12,18,20,26,30,32,36,42,48,50,56); # _Dana Jacobsen_, Oct 18 2015
%Y A257304 Initial members of all of the first prime k-tuplets:
%Y A257304 twin primes: A001359.
%Y A257304 prime triples: A007529 out of A022004, A022005.
%Y A257304 prime quadruplets: A007530.
%Y A257304 prime 5-tuples: A086140 out of A022007, A022006.
%Y A257304 prime sextuplets: A022008.
%Y A257304 prime septuplets: A257124 out of A022009, A022010.
%Y A257304 prime octuplets: A065706 out of A022011, A022012, A022013.
%Y A257304 prime nonuplets: A257125 out of A022547, A022548, A022545, A022546.
%Y A257304 prime decaplets: A257127 out of A027569, A027570.
%Y A257304 prime 11-tuplets: A257129 out of A213646, A213647.
%Y A257304 prime 12-tuplets: A257131 out of A213601, A213645.
%Y A257304 prime 13-tuplets: A257135 out of A214947, A257137, A257138, A257139, A257140, A257141.
%Y A257304 prime 14-tuplets: A257166 out of A257167, A257168.
%Y A257304 prime 15-tuplets: A257169 out of this sequence, A257305, A257306, A257307.
%Y A257304 prime 16-tuplets: A257308 out of A257369, A257370.
%Y A257304 prime 17-tuplets: A257373 out of A257374, A257375, A257376, A257377.
%K A257304 nonn
%O A257304 1,1
%A A257304 _Tim Johannes Ohrtmann_, Apr 20 2015
%E A257304 More terms from _Dana Jacobsen_, Oct 18 2015