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%I #21 Apr 11 2022 22:04:42
%S 11,7933248530182091,20475715985020181,21817283854511261,
%T 33502273017038711,40257009922154141,49242777550551701,
%U 49600456951571411,75093141517810301,84653373093824651,119308586807395871,129037438367672951,129706953139869221,151242381725881331,158947009165390331,161216594737343261,167317340088093311,176587730173540571,178444395317213141,197053322268438521,301854920123441801
%N 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 and n+48 are all prime.
%H Vladimir Vlesycit and Matt C. Anderson and Dana Jacobsen, <a href="/A257139/b257139.txt">Table of n, a(n) for n = 1..817</a> [first 21 terms from Vladimir Vlesycit, first 98 terms from Matt C. Anderson]
%H Tony Forbes and Norman Luhn, <a href="http://www.pzktupel.de/ktuplets.htm">Smallest Prime k-tuplets</a>
%H Norman Luhn, <a href="http://www.pzktupel.de/SMArchiv/13tup1.zip">Table of n, a(n) for n = 1..5000</a>
%o (Perl) use ntheory ":all"; say for sieve_prime_cluster(1,10**16,2,6,8,12,18,20,26,30,32,36,42,48); # _Dana Jacobsen_, Oct 10 2015
%Y Initial members of all of the first prime k-tuplets:
%Y twin primes: A001359.
%Y prime triples: A007529 out of A022004, A022005.
%Y prime quadruplets: A007530.
%Y prime 5-tuples: A086140 out of A022007, A022006.
%Y prime sextuplets: A022008.
%Y prime septuplets: A257124 out of A022009, A022010.
%Y prime octuplets: A065706 out of A022011, A022012, A022013.
%Y prime nonuplets: A257125 out of A022547, A022548, A022545, A022546.
%Y prime decaplets: A257127 out of A027569, A027570.
%Y prime 11-tuplets: A257129 out of A213646, A213647.
%Y prime 12-tuplets: A257131 out of A213601, A213645.
%Y prime 13-tuplets: A257135 out of A214947, A257137, A257138, this sequence, A257140, A257141.
%Y prime 14-tuplets: A257166 out of A257167, A257168.
%Y prime 15-tuplets: A257169 out of A257304, A257305, A257306, A257307.
%Y prime 16-tuplets: A257308 out of A257369, A257370.
%Y prime 17-tuplets: A257373 out of A257374, A257375, A257376, A257377.
%K nonn
%O 1,1
%A _Tim Johannes Ohrtmann_, Apr 17 2015
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