When can a prime number be a difference of squares?

Some cool things I realized about primes and squares...
Correction: on the smaller whiteboard, I accidentally wrote the signs reversed, and it should say (p/2 + 1/2)^2 - (p/2 - 1/2)^2
Also make sure to check out my main episodes on my @ComboClass channel.
The most recent episode related to primes that can be the SUM of two squares: • Some "Prime Numbers" A...
And here's a playlist of the whole current "grade" so far: • Combo Class: Grade -3 ...
Links:
Main channel: / comboclass
Patreon: / comboclass
Subreddit: / comboclass
Discord link: / discord