A257304 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, n+48, n+50 and n+56 are all prime.

11, 44360646117391789301, 80846604473064395081, 85542881495337691541, 113615698477681825541, 116591588863353569081, 140245881111654813611, 204185491710368653601, 227209370616659726411, 238931301405879137171, 441927344360107210721, 457968514558418508761

Offset

1,1

Links

Dana Jacobsen, Table of n, a(n) for n = 1..16 [first 8 terms computed by Hadley and Waldvogel (2001-2009)]

Tony Forbes and Norman Luhn, Smallest Prime k-tuplets

Norman Luhn, Table of n, a(n) for n = 1..73 (up to 10^22)

Prog

(Perl) use ntheory ":all"; say for sieve_prime_cluster(1, 10**16, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50, 56); # Dana Jacobsen, Oct 18 2015

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, A257139, A257140, A257141.

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

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

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

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

Sequence in context: A257167 A004022 A243534 * A241570 A083344 A294889

Adjacent sequences: A257301 A257302 A257303 * A257305 A257306 A257307

Keyword

nonn

Author

Tim Johannes Ohrtmann, Apr 20 2015

Extensions

More terms from Dana Jacobsen, Oct 18 2015

Status

approved