olymmath

ZA-SAMO 2020 Problem 4

    A positive integer kk is said to be visionary if there are integers a>0a > 0 and b≥0b \geq 0 such that a⋅k+b⋅(k+1)=2020.a \cdot k + b \cdot (k + 1) = 2020. How many visionary integers are there?

    Dataset text AI-MO AoPS. Quoted with source.

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