cp's OEIS Frontend

A prime vector of order n is an array of n distinct primes P = (p_1, p_2, ..., p_n), such that every sum of an odd number of consecutive elements is also prime. The weight of the prime vector is the sum of its elements. For full details see Kamenetsky's paper.

Calculations by Kamenetsky and J. K. Andersen show that a(15-17) are likely to be 443, 522 and 641.

Calculations by J. K. Andersen show that a(18-21) are likely to be 762, 881, 1002 and 1259.

J. K. Andersen found the best upper bounds for a(22-23) as 1716 and 1931.

For odd n, a(n) <= A068873(n) (smallest prime which is a sum of n distinct primes).

For even n, a(n) <= A071148(n) (sum of the first n odd primes).