A257167 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 and n+50 are all prime.

11, 21817283854511261, 841262446570150721, 1006587882969594041, 2682372491413700201, 5009128141636113611, 7126352574372296381, 7993822923596334941, 12870536149631655611, 15762479629138737611, 22811391659969177381, 25593071201116914611, 25908823282383706781, 42408988436795325461, 44360646117391789301, 54533311498517797061, 54872625531142644341, 55603189618237916771, 60815831883653681951

Offset

1,1

Links

Dana Jacobsen, Table of n, a(n) for n = 1..185 [first 57 terms computed by Betsis, Säfholm, Forbes, Hadley, Vlesycit, and Waldvogel (1982-2009)]

Tony Forbes and Norman Luhn, Smallest Prime k-tuplets

Norman Luhn, Table of n, a(n) for n = 1..919

Prog

(Perl) use ntheory ":all"; say for sieve_prime_cluster(1, 10**17, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50); # 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 this sequence, 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.

Sequence in context: A213645 A257139 A257166 * A004022 A243534 A257304

Adjacent sequences: A257164 A257165 A257166 * A257168 A257169 A257170

Keyword

nonn

Author

Tim Johannes Ohrtmann, Apr 17 2015

Extensions

a(32) corrected by Dana Jacobsen, Oct 18 2015

Status

approved