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Search: id:A083779
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| A083779 |
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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. |
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+0
3
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| 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; listen)
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OFFSET
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1,1
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COMMENT
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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 first possible set of even numbers. - Joshua Zucker (joshua.zucker(AT)stanfordalumni.org), May 03 2006
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LINKS
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T. Forbes, Smallest prime k-tuplets gives useful data for extending this sequence.
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EXAMPLE
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2
2 4
2 4 8
2 4 10 16
...
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CROSSREFS
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Cf. A083780, A083781.
Sequence in context: A106264 A035096 A097800 this_sequence A045865 A054134 A005127
Adjacent sequences: A083776 A083777 A083778 this_sequence A083780 A083781 A083782
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KEYWORD
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nonn,tabl
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AUTHOR
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Amarnath Murthy and Meenakshi Srikanth (amarnath_murthy(AT)yahoo.com), May 07 2003
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EXTENSIONS
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More terms from Joshua Zucker (joshua.zucker(AT)stanfordalumni.org), May 03 2006
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