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United States competition problems

Number theory Difficulty 4.2 AIME Find the answer United States

Problem:
What is the smallest positive integer xx for which x2+x+41x^{2}+x+41 is not a prime?

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

Solution

Solution:
40

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Source: MathNet, licensed CC-BY-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project.