A327819 Elements of the unique smallest MSTD set of primes.

3, 5, 7, 13, 17, 19, 23, 43, 47, 53, 59, 61, 67, 71, 73

Offset

1,1

Comments

This set is smallest in terms of minimizing the maximum element.

Chu, McNew, Miller, Xu, & Zhang show that, as a consequence of the Green-Tao theorem, there are infinitely many MSTD sets of primes, and give an example. Chu finds this set and proves minimality, answering a question of the former authors.

Links

Table of n, a(n) for n=1..15.

Hung Chu, Nathan McNew, Steven J. Miller, Victor Xu, and Sean Zhang, When sets can and cannot have MSTD subsets (2016) arXiv:1608.03256 [math.NT]

Hung Viet Chum, Sets of cardinality 6 are not sum-dominant, arXiv:1906.00470 [math.NT], 2019.

Crossrefs

Cf. A102282, A222807, A000040.

Sequence in context: A268629 A092195 A046066 * A045398 A162565 A321363

Adjacent sequences: A327816 A327817 A327818 * A327820 A327821 A327822

Keyword

nonn,fini,full

Author

Charles R Greathouse IV, Sep 26 2019

Status

approved