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A139327 Write the first n^2 odd numbers consecutively in n rows of length n: a(n) = maximal number of primes in a row. 2

%I #3 Mar 30 2012 18:51:00

%S 0,2,2,3,4,4,5,5,6,7,7,8,8,8,9,10,10,10,11,11,12,13,13,14,14,14,15,15,

%T 15,16,17,17,17,18,18,19,20,20,20,21,21,22,22,22,23,23,23,23,24,24,25,

%U 26,26,27,28,28,29,29,29,29,29,29,29,30,30,31,31,31,32,33,33,33,33,33

%N Write the first n^2 odd numbers consecutively in n rows of length n: a(n) = maximal number of primes in a row.

%C a(n) = Max{A139325(n,k): 1<=k<=n}.

%e a(4)=Max{#{3,5,7},#{11,13},#{17,19,23},#{29,31}}=Max{3,2,3,2}=3:

%e ..1 ...3 ...5 ...7 ... primes in first row = {3,5,7},

%e ..9 ..11 ..13 ..15 ... primes in 2nd row = {11,13},

%e .17 ..19 ..21 ..23 ... primes in 3rd row = {17,19},

%e .25 ..27 ..29 ..31 ... primes in 4th row = {29,31}.

%Y Cf. A139326.

%K nonn

%O 1,2

%A _Reinhard Zumkeller_, Apr 14 2008

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