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A075345 Group the natural numbers such that the n-th group contains n terms and the group sum is the smallest possible prime: (2), (1, 4), (3, 5, 9), (6, 7, 8, 10), (11, 12, 13, 14, 17), (15, 16, 18, 19, 20, 21), ... Sequence gives group sums. 4

%I #11 Sep 26 2015 15:33:55

%S 2,5,17,31,67,109,179,257,373,503,673,877,1093,1381,1693,2063,2459,

%T 2927,3449,4001,4637,5347,6089,6947,7817,8783,9857,10987,12211,13513,

%U 14923,16411,17971,19661,21467,23333,25343,27457,29683,32027,34469,37087

%N Group the natural numbers such that the n-th group contains n terms and the group sum is the smallest possible prime: (2), (1, 4), (3, 5, 9), (6, 7, 8, 10), (11, 12, 13, 14, 17), (15, 16, 18, 19, 20, 21), ... Sequence gives group sums.

%C See A075348 for the groups. In case of several possibilities to write the given prime, e.g. a(3) = 3+5+9 = 3+6+8, the lexicographically smallest is to be chosen, here (3,5,9) rather than (3,6,8). - _M. F. Hasler_, Sep 26 2015

%H Reinhard Zumkeller, <a href="/A075345/b075345.txt">Table of n, a(n) for n = 1..1000</a>

%o (Haskell)

%o a075345 = sum . a075348_row -- _Reinhard Zumkeller_, Sep 26 2015

%Y Cf. A075346, A075347.

%Y Cf. A075348.

%K nonn,easy

%O 1,1

%A _Amarnath Murthy_, Sep 19 2002

%E More terms from _David Wasserman_, Jan 16 2005

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