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A257305 Numbers n such that n, n+2, n+6, n+12, n+14, n+20, n+24, n+26, n+30, n+36, n+42, n+44, n+50, n+54 and n+56 are all prime.

%I A257305 #25 Apr 11 2022 22:04:42
%S A257305 17,17905159760365247387,44333554877816671757,64777971223063936127,
%T A257305 84528323459951417987,90798766993022298227,151477098804870766217,
%U A257305 190685406656969508497,191219032841144805437,232425130317773743367,269337329665351844837,274875260256537447797
%N A257305 Numbers n such that n, n+2, n+6, n+12, n+14, n+20, n+24, n+26, n+30, n+36, n+42, n+44, n+50, n+54 and n+56 are all prime.
%H A257305 Dana Jacobsen, <a href="/A257305/b257305.txt">Table of n, a(n) for n = 1..36</a> [first 9 terms computed by Jim Morton and Jörg Waldvogel (2001-2009)]
%H A257305 Tony Forbes and Norman Luhn, <a href="http://pzktupel.de/ktuplets.htm">Prime k-tuplets</a>
%H A257305 Norman Luhn, <a href="http://www.pzktupel.de/SMArchiv/15tup3.zip">Table of n, a(n) for n = 1..261 (up to 10^22)</a>
%o A257305 (Perl) use ntheory ":all"; say for sieve_prime_cluster(1, 10**16, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56); # _Dana Jacobsen_, Oct 24 2015
%Y A257305 Initial members of all of the first prime k-tuplets:
%Y A257305 twin primes: A001359.
%Y A257305 prime triples: A007529 out of A022004, A022005.
%Y A257305 prime quadruplets: A007530.
%Y A257305 prime 5-tuples: A086140 out of A022007, A022006.
%Y A257305 prime sextuplets: A022008.
%Y A257305 prime septuplets: A257124 out of A022009, A022010.
%Y A257305 prime octuplets: A065706 out of A022011, A022012, A022013.
%Y A257305 prime nonuplets: A257125 out of A022547, A022548, A022545, A022546.
%Y A257305 prime decaplets: A257127 out of A027569, A027570.
%Y A257305 prime 11-tuplets: A257129 out of A213646, A213647.
%Y A257305 prime 12-tuplets: A257131 out of A213601, A213645.
%Y A257305 prime 13-tuplets: A257135 out of A214947, A257137, A257138, A257139, A257140, A257141.
%Y A257305 prime 14-tuplets: A257166 out of A257167, A257168.
%Y A257305 prime 15-tuplets: A257169 out of A257304, this sequence, A257306, A257307.
%Y A257305 prime 16-tuplets: A257308 out of A257369, A257370.
%Y A257305 prime 17-tuplets: A257373 out of A257374, A257375, A257376, A257377.
%K A257305 nonn
%O A257305 1,1
%A A257305 _Tim Johannes Ohrtmann_, Apr 20 2015
%E A257305 More terms from _Dana Jacobsen_, Oct 21 2015