OBM 2007 Problem 2

Find the number of integers $c$ such that $-2007 \leq c \leq 2007$ and there exists an integer $x$ such that $x^2 + c$ is a multiple of $2^{2007}$ .

Dataset text AI-MO AoPS. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.