On the Sum of Two Squares and At Most Two Powers of 2

David J. Platt, Timothy S. Trudgian
2017 The American mathematical monthly  
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.
doi:10.4169/amer.math.monthly.124.8.737 fatcat:uz7toxmk5fhrvk3lqmpmd55cxy