Each of p and 8p² + 1 is a prime number.

Is 8p² - 1 a prime number?

• If not, provide an example.
• If so, prove it.

Computer program and spreadsheet aided methodologies are welcome, but an analytical solution is preferred.

*** Adapted from a problem appearing in a Russian Mathematical Olympiad.

Posted by K Sengupta on 2022-12-23 18:03:27