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A094749 Triangle read by rows in which the n-th row contains the least set of n successive primes whose successive difference forms an arithmetic progression with common difference 2, (successive even numbers). 0
2, 3, 5, 5, 7, 11, 17, 19, 23, 29, 347, 349, 353, 359, 367, 2903, 2909, 2917, 2927, 2939, 2953, 15373, 15377, 15383, 15391, 15401, 15413, 15427, 128981, 128983, 128987, 128993, 129001, 129011, 129023, 129037, 95285633, 95285639, 95285647, 95285657 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The difference between the first two primes in each row does not have to be two; what is required is that the second differences between the primes in each row are all twos. - Harvey P. Dale, Aug 09 2020

LINKS

Table of n, a(n) for n=1..40.

EXAMPLE

2

3 5

5 7 11

17 19 23 29

...

MATHEMATICA

Module[{prs=Prime[Range[551*10^4]], nn=9}, Join[{2, 3, 5}, Table[ SelectFirst[ Partition[ prs, n, 1], Union[Differences[#, 2]]=={2}&], {n, 3, nn}]]// Flatten] (* Requires Mathematica version 10 or later *) (* Harvey P. Dale, Aug 09 2020 *)

CROSSREFS

Cf. A016045, A092749.

Sequence in context: A238256 A239277 A302445 * A096539 A338141 A067364

Adjacent sequences:  A094746 A094747 A094748 * A094750 A094751 A094752

KEYWORD

less,nonn,tabl

AUTHOR

Amarnath Murthy, May 24 2004

EXTENSIONS

More terms from David Wasserman, Jun 07 2007

STATUS

approved

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Last modified June 17 19:32 EDT 2021. Contains 345085 sequences. (Running on oeis4.)