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A317680
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.
2
28, 141, 138, 395, 660, 1425, 1960, 2217, 3810, 5005, 7230
OFFSET
2,1
COMMENTS
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.
a(13) <= 8955, a(14) <= 12122.
CROSSREFS
Sequence in context: A050973 A095301 A201102 * A042530 A042532 A187608
KEYWORD
nonn,more,hard
AUTHOR
Hugo Pfoertner, Aug 10 2018
STATUS
approved