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.

28, 141, 138, 395, 660, 1425, 1960, 2217, 3810, 5005, 7230

Offset: 2

Author

Hugo Pfoertner, Aug 10 2018

Keywords

• nonn
• more
• hard

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

Cf. A317678, A317679.