%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