What about $x^2 -1?$

Number Theory Level 1

$3^2- 1$ is not a prime number.

$4^2 -1$ is not a prime number.

$5^2-1$ is not a prime number.

$6^2 -1$ is not a prime number.

$7^2 -1$ is not a prime number.

$8^2 -1$ is not a prime number.

Is it true that $x^2 -1$ is never a prime number for all positive integers $x \gt 2$ ?

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What about x2−1?x^2 -1?x2−1?

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, interactive explorations.

Used and loved by over 7 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

What about $x^2 -1?$

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.