A155463 Largest element of a set of n primes with the property that the pairwise averages are all distinct primes, having the smallest largest element (A115631).

7, 19, 71, 173, 383, 881, 2111, 5417, 10691, 21757, 27611

Offset

2,1

Comments

The solution for n=5 is {5, 29, 53, 89, 173}, so a(5)=173. This sequence is not proved to be optimal, so smaller terms may exist.

Links

Table of n, a(n) for n=2..12.

Andrew Granville, Prime number patterns

Crossrefs

Cf. A115631, A113832.

Sequence in context: A155242 A155333 A155296 * A318483 A005516 A152008

Adjacent sequences: A155460 A155461 A155462 * A155464 A155465 A155466

Keyword

nonn

Author

Dmitry Kamenetsky, Jan 22 2009

Status

approved