English

On the sum of two squares and at most two powers of 2

Number Theory 2016-10-19 v2

Abstract

We demonstrate that there are infinitely many integers that cannot be expressed as the sum of two squares of integers and up to two non-negative integer powers of 2.

Keywords

Cite

@article{arxiv.1610.01672,
  title  = {On the sum of two squares and at most two powers of 2},
  author = {Dave Platt and Tim Trudgian},
  journal= {arXiv preprint arXiv:1610.01672},
  year   = {2016}
}

Comments

5 pages; to appear in Amer. Math. Monthly