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A213645 Initial members of prime 12-tuplets. Primes p such that p + (0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42) are all prime. 28

%I

%S 11,380284918609481,437163765888581,701889794782061,980125031081081,

%T 1277156391416021,1487854607298791,1833994713165731,2115067287743141,

%U 2325810733931801,3056805353932061,3252606350489381,3360877662097841,3501482688249431,3595802556731501

%N Initial members of prime 12-tuplets. Primes p such that p + (0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42) are all prime.

%C All terms, except the first one, are congruent to 1271 (modulo 2310). - _Matt C. Anderson_, May 29 2015

%H Matt C. Anderson and Dana Jacobsen, <a href="/A213645/b213645.txt">Table of n, a(n) for n = 1..2807</a> [first 83 entries by Matt C. Anderson]

%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Prime_k-tuple">Prime k-tuple</a>

%o (Perl) use ntheory ":all"; say for sieve_prime_cluster(1, 10**15, 2,6,8,12,18,20,26,30,32,36,42); # _Dana Jacobsen_, Oct 04 2015

%Y Cf. A022545, A022546, A022547, and A022548 (prime 9-tuplets).

%Y Cf. A135311, 2*A101448 (both begin with 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42).

%K nonn

%O 1,1

%A _Matt C. Anderson_, Jun 17 2012

%E Corrected and extended by _Dana Jacobsen_, Oct 04 2015

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Last modified May 16 06:54 EDT 2021. Contains 343939 sequences. (Running on oeis4.)