Competition problem — Number theory

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Number theory Difficulty 4.5 AIME Find the answer

Find the numbers $\mathbf{1 5 3 , 3 7 0 , 3 7 1 , 4 0 7}$ .

Your answer

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Solution

The numbers are $\mathbf{1 5 3 , 3 7 0 , 3 7 1 , 4 0 7}$ .

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Source: Omni-MATH, licensed Apache-2.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project.