Competition problem — Number theory

Library / /20 of 48

Number theory Difficulty 4.2 AIME Find the answer United States

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

Your answer

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

Solution

Solution:
40

Want a route through all this instead of an archive? The track puts 2,000 problems in a working order, from AMC 10 level to the IMO shortlist.

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