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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). 1

%I #11 Aug 09 2020 10:38:21

%S 2,3,5,5,7,11,17,19,23,29,347,349,353,359,367,2903,2909,2917,2927,

%T 2939,2953,15373,15377,15383,15391,15401,15413,15427,128981,128983,

%U 128987,128993,129001,129011,129023,129037,95285633,95285639,95285647,95285657

%N 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).

%C 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

%e 2

%e 3 5

%e 5 7 11

%e 17 19 23 29

%e ...

%t 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 *)

%Y Cf. A016045, A092749.

%K less,nonn,tabl

%O 1,1

%A _Amarnath Murthy_, May 24 2004

%E More terms from _David Wasserman_, Jun 07 2007

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Last modified April 19 09:23 EDT 2024. Contains 371782 sequences. (Running on oeis4.)