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

Author

Charles R Greathouse IV, Sep 26 2019

Keywords

• nonn
• fini
• full

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

• 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.