DK-GEORGMOHR 2020 Problem 4
Identical rectangular cardboard pieces are handed out to students, one to each. Each student cuts (parallel to the edges) his or her piece into equally large squares. Two different students' squares do not necessarily have the same size. After all the cutting it turns out that the total number of squares is a prime. Prove that the original cardboard pieces must have been quadratic.
Dataset text AI-MO AoPS. Quoted with source.
Official text: Georg Mohr Contest 2020 official paper, page 1.
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