A257139 Numbers n such that n, n+2, n+6, n+8, n+12, n+18, n+20, n+26, n+30, n+32, n+36, n+42 and n+48 are all prime.

11, 7933248530182091, 20475715985020181, 21817283854511261, 33502273017038711, 40257009922154141, 49242777550551701, 49600456951571411, 75093141517810301, 84653373093824651, 119308586807395871, 129037438367672951, 129706953139869221, 151242381725881331, 158947009165390331, 161216594737343261, 167317340088093311, 176587730173540571, 178444395317213141, 197053322268438521, 301854920123441801

Offset: 1

Author

Tim Johannes Ohrtmann, Apr 17 2015

Keywords

• nonn

Links

• Vladimir Vlesycit and Matt C. Anderson and Dana Jacobsen, Table of n, a(n) for n = 1..817 [first 21 terms from Vladimir Vlesycit, first 98 terms from Matt C. Anderson]
• Tony Forbes and Norman Luhn, Smallest Prime k-tuplets
• Norman Luhn, Table of n, a(n) for n = 1..5000

Crossrefs

Initial members of all of the first prime k-tuplets:

twin primes: A001359.

prime triples: A007529 out of A022004, A022005.

prime quadruplets: A007530.

prime 5-tuples: A086140 out of A022007, A022006.

prime sextuplets: A022008.

prime septuplets: A257124 out of A022009, A022010.

prime octuplets: A065706 out of A022011, A022012, A022013.

prime nonuplets: A257125 out of A022547, A022548, A022545, A022546.

prime decaplets: A257127 out of A027569, A027570.

prime 11-tuplets: A257129 out of A213646, A213647.

prime 12-tuplets: A257131 out of A213601, A213645.

prime 13-tuplets: A257135 out of A214947, A257137, A257138, this sequence, A257140, A257141.

prime 14-tuplets: A257166 out of A257167, A257168.

prime 15-tuplets: A257169 out of A257304, A257305, A257306, A257307.

prime 16-tuplets: A257308 out of A257369, A257370.

prime 17-tuplets: A257373 out of A257374, A257375, A257376, A257377.

Programs

Perl

use ntheory ":all"; say for sieve_prime_cluster(1,10**16,2,6,8,12,18,20,26,30,32,36,42,48); # Dana Jacobsen, Oct 10 2015