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.

14094050870111867483, 16222575536498135633, 27367669288651556693, 47972909762951107763, 49198349218890756713, 83522578855892290943, 141851207652098108993, 166270537650069307283, 195690251815182929633, 334275099381872183363, 347599197380365425323

Offset: 1

Author

Tim Johannes Ohrtmann, Apr 20 2015

Keywords

• nonn

Links

• Dana Jacobsen, Table of n, a(n) for n = 1..53 [first 9 terms computed by Jens Kruse Andersen and Jörg Waldvogel (2007-2009)]
• Tony Forbes and Norman Luhn, Smallest Prime k-tuplets
• Norman Luhn, Table of n, a(n) for n = 1..68 (up to 10^22)

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 A257304, A257305, A257306, this sequence.

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

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

Extensions

Corrected a(2) and more terms from Dana Jacobsen, Oct 31 2015