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A257166 Initial members of prime 14-tuplets.

%I A257166 #26 Apr 11 2022 22:04:42
%S A257166 11,21817283854511261,79287805466244209,841262446570150721,
%T A257166 1006587882969594041,2682372491413700201,2714623996387988519,
%U A257166 5009128141636113611,5012524663381750349,6120794469172998449,6195991854028811669,6232932509314786109,6808488664768715759,7126352574372296381,7993822923596334941,10756418345074847279,11319107721272355839
%N A257166 Initial members of prime 14-tuplets.
%H A257166 Norman Luhn, <a href="/A257166/b257166.txt">Table of n, a(n) for n = 1..1810</a> (up to 10^22) (terms 1..394 from Tim Johannes Ohrtmann and Dana Jacobsen)
%H A257166 Tony Forbes and Norman Luhn, <a href="http://www.pzktupel.de/ktuplets">k-tuplets</a>
%o A257166 (Perl) cat b25716[78].txt | perl -nE '/(\d+)$/; $r{$1}++; END { say ++$i," $_" for sort {$a<=>$b} keys %r }' # [Given the b-files from the two 14-tuple sequences] _Dana Jacobsen_, Oct 18 2015
%Y A257166 Initial members of all of the first prime k-tuplets:
%Y A257166 twin primes: A001359.
%Y A257166 prime triples: A007529 out of A022004, A022005.
%Y A257166 prime quadruplets: A007530.
%Y A257166 prime 5-tuples: A086140 out of A022007, A022006.
%Y A257166 prime sextuplets: A022008.
%Y A257166 prime septuplets: A257124 out of A022009, A022010.
%Y A257166 prime octuplets: A065706 out of A022011, A022012, A022013.
%Y A257166 prime nonuplets: A257125 out of A022547, A022548, A022545, A022546.
%Y A257166 prime decaplets: A257127 out of A027569, A027570.
%Y A257166 prime 11-tuplets: A257129 out of A213646, A213647.
%Y A257166 prime 12-tuplets: A257131 out of A213601, A213645.
%Y A257166 prime 13-tuplets: A257135 out of A214947, A257137, A257138, A257139, A257140, A257141.
%Y A257166 prime 14-tuplets: this sequence out of A257167, A257168.
%Y A257166 prime 15-tuplets: A257169 out of A257304, A257305, A257306, A257307.
%Y A257166 prime 16-tuplets: A257308 out of A257369, A257370.
%Y A257166 prime 17-tuplets: A257373 out of A257374, A257375, A257376, A257377.
%K A257166 nonn
%O A257166 1,1
%A A257166 _Tim Johannes Ohrtmann_, Apr 17 2015