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%I #35 Apr 11 2022 22:04:42
%S 10527733922579,15991086371740199,22443709342850669,69759046409087909,
%T 94415460183744419,164873121596539229,197053322268438509,
%U 212971209388223159,215768926871613989,248170682800139819,270109976153617319,326374793491266239,341896216415143109,341987213500572359,362035072661912369,401062754451879239,441180406661470349,450928996714672349,503035098004929209,533306698691196149
%N Numbers n such that n, n+2, n+12, n+14, n+18, n+20, n+24, n+30, n+32, n+38, n+42, n+44 and n+48 are all prime.
%H Vladimir Vlesycit and Matt C. Anderson and Dana Jacobsen, <a href="/A257141/b257141.txt">Table of n, a(n) for n = 1..803</a> [first 20 terms from Vladimir Vlesycit, first 86 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/13tup5.zip">Table of n, a(n) for n = 1..5307</a> (Zip file)
%o (PARI) isok(n)={isp=isprime;isp(n) &&isp(n+2)&&isp(n+12) &&isp(n+14) &&isp(n+18)&&isp(n+20)&&isp(n+24) &&isp(n+30) &&isp(n+32) &&isp(n+38) &&isp(n+42)&&isp(n+44)&&isp(n+48)} \\ _Anders Hellström_, Sep 05 2015
%o (Perl) use ntheory ":all"; say for sieve_prime_cluster(1, 10**15, 2,12,14,18,20,24,30,32,38,42,44,48); # _Dana Jacobsen_, Oct 13 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, A257139, A257140, this sequence.
%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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