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, 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

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