cp's OEIS Frontend

A257140 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 and n+48 are all prime.

%I A257140 #19 Apr 11 2022 22:04:42
%S A257140 7697168877290909,10071192314217869,11987120084474369,
%T A257140 28561589689237439,62321320746357689,73698766709402669,
%U A257140 75046774774314359,79287805466244209,98551408299919409,136720189890477209,225735856757596019,234065221633327919,302834818301440259,360345440708336099,385443070970192069,387494664213890249,466256026285842809,539043082132918379,570108181108560929,610147978081735109
%N A257140 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 and n+48 are all prime.
%H A257140 Vladimir Vlesycit and Matt C. Anderson and Dana Jacobsen, <a href="/A257140/b257140.txt">Table of n, a(n) for n = 1..1036</a> [first 20 terms from Vladimir Vlesycit; first 104 terms from Matt C. Anderson]
%H A257140 Tony Forbes and Norman Luhn, <a href="http://www.pzktupel.de/ktuplets.htm">Smallest Prime k-tuplets</a>
%H A257140 Norman Luhn, <a href="http://www.pzktupel.de/SMArchiv/13tup4.zip">Table of n, a(n) for n = 1..6264</a>
%o A257140 (Perl) use ntheory ":all"; say for sieve_prime_cluster(1,10**16, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48);  # _Dana Jacobsen_, Oct 13 2015
%Y A257140 Initial members of all of the first prime k-tuplets:
%Y A257140 twin primes: A001359.
%Y A257140 prime triples: A007529 out of A022004, A022005.
%Y A257140 prime quadruplets: A007530.
%Y A257140 prime 5-tuples: A086140 out of A022007, A022006.
%Y A257140 prime sextuplets: A022008.
%Y A257140 prime septuplets: A257124 out of A022009, A022010.
%Y A257140 prime octuplets: A065706 out of A022011, A022012, A022013.
%Y A257140 prime nonuplets: A257125 out of A022547, A022548, A022545, A022546.
%Y A257140 prime decaplets: A257127 out of A027569, A027570.
%Y A257140 prime 11-tuplets: A257129 out of A213646, A213647.
%Y A257140 prime 12-tuplets: A257131 out of A213601, A213645.
%Y A257140 prime 13-tuplets: A257135 out of A214947, A257137, A257138, A257139, this sequence, A257141.
%Y A257140 prime 14-tuplets: A257166 out of A257167, A257168.
%Y A257140 prime 15-tuplets: A257169 out of A257304, A257305, A257306, A257307.
%Y A257140 prime 16-tuplets: A257308 out of A257369, A257370.
%Y A257140 prime 17-tuplets: A257373 out of A257374, A257375, A257376, A257377.
%K A257140 nonn
%O A257140 1,1
%A A257140 _Tim Johannes Ohrtmann_, Apr 17 2015