%I
%S 28,141,138,395,660,1425,1960,2217,3810,5005,7230
%N Least sum S_n of n distinct primes p_i such that q_j = n*p_j  Sum_{k=1..n,k!=j} p_k, j=1..n is prime, such that the set union {p_i} U {q_i} contains 2*n distinct primes.
%C The sets of primes p_i and q_i and a description of the problem are provided in A317678 and A317679. a(1) is omitted to indicate the nonexistence of a solution.
%C a(13) <= 8955, a(14) <= 12122.
%Y Cf. A317678, A317679.
%K nonn,more,hard
%O 2,1
%A _Hugo Pfoertner_, Aug 10 2018
