This is a very random question.

Let's say, that a regular person who dosn't know very much about math just *HAPPENS* to stumble upon something mathematical and unheard off.... and works a little bit on it...

Cases like these are not unheard off...many inventions and/or discoveries happened by accident.

So, if somebody happens to find something mathematical by accident and has no idea how to write it up in a proper publishable way...then how would the person get it published?

Do they just write it up as best as they could and submit it to a Journal?

See... I told you it was completely random!