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%I #24 Apr 11 2022 22:04:42
%S 79287805466244209,2714623996387988519,5012524663381750349,
%T 6120794469172998449,6195991854028811669,6232932509314786109,
%U 6808488664768715759,10756418345074847279,11319107721272355839,12635619305675250719,14028155447337025829,14094050870111867489,14603617704434643719,14777669568340323479,15420967329931107779,16222575536498135639,16624441191356313149,17367037621075657349,19289576760019250519
%N Numbers n such that n, n+2, n+8, n+14, n+18, n+20, n+24, n+30, n+32, n+38, n+42, n+44, n+48 and n+50 are all prime.
%H Dana Jacobsen, <a href="/A257168/b257168.txt">Table of n, a(n) for n = 1..209</a> [first 75 terms computed by Betsis and Säfholm, Forbes, Vlesycit, and Waldvogel (1982-2009)]
%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/14tup2.zip">Table of n, a(n) for n = 1..891</a> (up to 10^22).
%o (Perl) use bigint; use ntheory ":all"; say for sieve_prime_cluster(1, 10**17, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48, 50); # _Dana Jacobsen_, Oct 18 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, A257141.
%Y prime 14-tuplets: A257166 out of A257167, this sequence.
%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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