Each of p and 8p -1 is a prime number.

Is 8p+1 a prime number?

• If so, provide an example.
• If not, 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 2022-11-30 00:41:09