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Numbers n such that n, n+6, n+8, n+12, n+18, n+20, n+26, n+32, n+36, n+38, n+42, n+48, n+50, n+56, n+60, n+62 and n+66 are all prime.
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%I #12 Apr 11 2022 22:04:42

%S 1620784518619319025971,2639154464612254121531,3259125690557440336631,

%T 124211857692162527019731

%N Numbers n such that n, n+6, n+8, n+12, n+18, n+20, n+26, n+32, n+36, n+38, n+42, n+48, n+50, n+56, n+60, n+62 and n+66 are all prime.

%H Tony Forbes <a href="http://anthony.d.forbes.googlepages.com/ktuplets.htm">k-tuplets</a>

%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, 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, this sequence, A257377.

%K nonn,more

%O 1,1

%A _Tim Johannes Ohrtmann_, Apr 21 2015

%E a(1) corrected by _Tim Johannes Ohrtmann_, Dec 17 2015