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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
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
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
Sequence in context: A097800 A183402 A217839 * A045865 A319862 A220977
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