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 A083779 n-th row of the following triangle contains n even numbers such that every sum of n-1 of them + 1 is a prime. Sequence contains the triangle by rows. 2
 2, 2, 4, 2, 4, 8, 2, 4, 10, 16, 2, 4, 8, 14, 16, 2, 4, 8, 10, 22, 64, 2, 4, 8, 10, 14, 20, 1822, 2, 4, 8, 10, 14, 20, 38, 5564, 2, 4, 8, 10, 14, 20, 22, 28, 88712, 2, 4, 8, 10, 14, 20, 22, 28, 58, 855574, 2, 4, 8, 10, 14, 20, 22, 28, 32, 38, 74266102, 2, 4, 8, 10, 14, 20, 22, 28, 32 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS For n =4, the third term is 10 and not 6 as then there is no number that qualifies for the fourth place. As for every k one of the numbers 2+k, 4+k or 6+k is divisible by 3. We assume that for each row we want the lexicographically earliest possible set of even numbers. - Joshua Zucker, May 03 2006 LINKS Table of n, a(n) for n=1..75. T. Forbes, Smallest prime k-tuplets gives useful data for extending this sequence. EXAMPLE 2 2 4 2 4 8 2 4 10 16 ... CROSSREFS Cf. A083780, A083781. Sequence in context: A097800 A183402 A217839 * A045865 A319862 A220977 Adjacent sequences: A083776 A083777 A083778 * A083780 A083781 A083782 KEYWORD nonn,tabl AUTHOR Amarnath Murthy and Meenakshi Srikanth (menakan_s(AT)yahoo.com), May 07 2003 EXTENSIONS More terms from Joshua Zucker, May 03 2006 STATUS approved

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Last modified October 2 07:08 EDT 2023. Contains 365831 sequences. (Running on oeis4.)