Example of a strange public key:

Just like there is invalid private keys, specifically those after the key fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364140 .. there are also invalid public keys. The reason is  there are pub keys that lie outside the curve. But i gotta agree that the mentioned pubs above are interesting, especially knowing that one of their addresses is a used one. The only thing I'm not so fond of is the idea of.trying to figure out a mathematical formula to solve the puzzle. Sometimes it's possible to find a pattern in chaos, but most times you can't.