cp's OEIS Frontend

A257307 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.

%I A257307 #26 Apr 11 2022 22:04:42
%S A257307 14094050870111867483,16222575536498135633,27367669288651556693,
%T A257307 47972909762951107763,49198349218890756713,83522578855892290943,
%U A257307 141851207652098108993,166270537650069307283,195690251815182929633,334275099381872183363,347599197380365425323
%N A257307 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 A257307 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 A257307 Tony Forbes and Norman Luhn, <a href="http://www.pzktupel.de/ktuplets.htm">Smallest Prime k-tuplets</a>
%H A257307 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 A257307 Initial members of all of the first prime k-tuplets:
%Y A257307 twin primes: A001359.
%Y A257307 prime triples: A007529 out of A022004, A022005.
%Y A257307 prime quadruplets: A007530.
%Y A257307 prime 5-tuples: A086140 out of A022007, A022006.
%Y A257307 prime sextuplets: A022008.
%Y A257307 prime septuplets: A257124 out of A022009, A022010.
%Y A257307 prime octuplets: A065706 out of A022011, A022012, A022013.
%Y A257307 prime nonuplets: A257125 out of A022547, A022548, A022545, A022546.
%Y A257307 prime decaplets: A257127 out of A027569, A027570.
%Y A257307 prime 11-tuplets: A257129 out of A213646, A213647.
%Y A257307 prime 12-tuplets: A257131 out of A213601, A213645.
%Y A257307 prime 13-tuplets: A257135 out of A214947, A257137, A257138, A257139, A257140, A257141.
%Y A257307 prime 14-tuplets: A257166 out of A257167, A257168.
%Y A257307 prime 15-tuplets: A257169 out of A257304, A257305, A257306, this sequence.
%Y A257307 prime 16-tuplets: A257308 out of A257369, A257370.
%Y A257307 prime 17-tuplets: A257373 out of A257374, A257375, A257376, A257377.
%K A257307 nonn
%O A257307 1,1
%A A257307 _Tim Johannes Ohrtmann_, Apr 20 2015
%E A257307 Corrected a(2) and more terms from _Dana Jacobsen_, Oct 31 2015