A257307 - OEIS

%I #26 Apr 11 2022 22:04:42

%S 14094050870111867483,16222575536498135633,27367669288651556693,

%T 47972909762951107763,49198349218890756713,83522578855892290943,

%U 141851207652098108993,166270537650069307283,195690251815182929633,334275099381872183363,347599197380365425323

%N Numbers n such that n, n+6, n+8, n+14, n+20, n+24, n+26, n+30, n+36, n+38, n+44, n+48, n+50, n+54 and n+56 are all prime.

%H Dana Jacobsen, <a href="/A257307/b257307.txt">Table of n, a(n) for n = 1..53</a> [first 9 terms computed by Jens Kruse Andersen and Jörg Waldvogel (2007-2009)]

%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/15tup2.zip">Table of n, a(n) for n = 1..68</a> (up to 10^22)

%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, this sequence.

%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 20 2015

%E Corrected a(2) and more terms from _Dana Jacobsen_, Oct 31 2015