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

2016/10/05 by Platt, Dave, Trudgian, Tim
#11P05 #11P32 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1610.01672

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.

Related

• Sums of two squares and a power
• Finite sequences of integers expressible as sums of two squares
• On sums of unequal powers of primes and powers of 2
• On integers which are representable as sums of large squares
• On the Sum of a Prime and a Square-free Number