Search: id:A073683
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%I A073683
%S A073683 2,5,13,31,43,67,79,97,131,179,199,257,293,313,359,389,409,431,443,467,
%T A073683 491,509,541,571,601,991,1163,1523,1549,1607,1627,1723,1747,1787,1831,
%U A073683 1873,1907,2039,2243,2269,2287,2333,2347,2389,2459,2521,2543,2557,2593
%N A073683 Group the primes such that the sum of each group is a prime. Each group 
               from the second onwards should contain at least 3 primes: (2, 3), 
               (5, 7, 11), (13, 17, 19, 23, 29), (31, 37, 41), (43, 47, 53, 59, 
               61), ... This is the sequence of the leading element in each group.
%C A073683 First prime of n-th group of successive primes in A073684.
%e A073683 Partition the sequence of primes into groups so that the sum of the terms 
               in each group is prime: {2, 3}, {5, 7, 11}, {13, 17, 19, 23, 29}, 
               {31, 37, 41}, {43, 47, 53, 59, 61}, {67, 71, 73}, {79, 83, 89}, {97, 
               101, 103, 107, 109, 113, 127}, {131, 137, 139, 149, 151, 157, 163, 
               167, 173}, {179, 181, 191, 193, 197},..; A073684(n) is the number 
               of terms in n-th group; A073682(n) is the sum of terms in n-th group; 
               a(n) is the first term in n-th group; A077279(n) is the last term 
               in n-th group.
%Y A073683 Cf. A073682, A073684, A073684, A077279.
%Y A073683 Sequence in context: A018012 A065377 A077278 this_sequence A098501 A116701 
               A068739
%Y A073683 Adjacent sequences: A073680 A073681 A073682 this_sequence A073684 A073685 
               A073686
%K A073683 nonn
%O A073683 1,1
%A A073683 Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Aug 11 2002
%E A073683 More terms from Zak Seidov (zakseidov(AT)yahoo.com), Nov 02 2002

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