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Number of prime k-tuplet constellations, i.e., patterns with minimal diameter A008407.
5

%I #24 Oct 26 2023 11:18:53

%S 1,2,1,2,1,2,3,4,2,2,2,6,2,4,2,4,2,4,2,2,4,2,4,18,2,8,10,2,2,2,4,14,

%T 20,2,2,2,6,26,26,8,2,6,18,4,4,4,2,2,22,22,2,2,26,6,6,2,2,4,2,2,6,2,2,

%U 2,2,18,2,20,2,2,2,10,2,14,14,40,8,2,14,14,16,4,2,2,60,50,2,2,2,16,2,18,12

%N Number of prime k-tuplet constellations, i.e., patterns with minimal diameter A008407.

%H T. D. Noe, <a href="/A083409/b083409.txt">Table of n, a(n) for n=2..305</a> (from Engelsma's data)

%H Thomas J Engelsma, <a href="http://www.opertech.com/primes/k-tuples.html">Permissible Patterns</a>.

%H Tony Forbes and Norman Luhn, <a href="https://pzktupel.de/ktpatt_hl.php">Patterns of prime k-tuplets & the Hardy-Littlewood constants</a>.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/k-TupleConjecture.html">k-Tuple Conjecture</a>.

%e For a(8) = 3 octuplet patterns see A065706. for a(6) = 1 sextet see A061671.

%Y Cf. A008407, A020497, A023193, A061671, A065688, A065706.

%K nonn

%O 2,2

%A _Frank Ellermann_, Jun 07 2003

%E More terms from Engelsma's website sent by _T. D. Noe_, Jul 21 2006