What careers not requiring an academic degree might be open to a self-learner who wants to do research on pure mathematics? I hesitated to ask this question since it may not relevant to this website, but I saw a question of same category here but still couldn't find an answer ...

Since childhood, I've had a sharp enthusiasm for Maths, studying books from an elementary level to ones suited for the level of a Masters of Science student at Melbourne University. I am currently 15, but the formal classroom setting feels like a waste of my time. Because of my passion for Maths, going through the formal procedure of education is making me severely depressed...

Here is my question: 

What careers which do not require an academic degree (all research positions require a PhD) might be open (in Australia) to a self-learner who wants to do research on Pure Mathematics?

Salaries for a postdoc position are ~80k in Australia, but I am looking for a research career even of a ~15k salary because that would be enough money to survive while doing research. I have yet to published any paper to impress some institution to believe in me, if it helps at all.  

EDIT - Thank you all very much for your very informative answers. To be more precise, I would like to write my main reasons of the 'horror' of university:


Solving exercises or studying the texts in self-study themselves can (although difficult) be stopped for the duration of university affairs (classes, ...) but I believe that research can't be frequently stopped by other irrelevant things even with university affairs [university classes will be Math, but not be the research that I want to engross in, at least for first few years], since being creative requires to be much more engrossed (to put it simpler: 1 2-day is more efficient than 2 1-day for research).
Even with prestigious universities it involves a lot of bureaucracy, which they may find necessary to obtain a degree but are irrelevant to Mathematics.
Being very deep concentrated and having manic passion causes a lot sensitivity, that's why we have some recluse people (in Arts and Science) and most of them are suffering from Bipolar Disorder caused by their manic-enthusiasm. While there are many people with great achievements living in society with high-degrees UNFORTUNATELY I don't think it's impossible for me.      

3a. An example of negativity in university education is the focus on institutional ranking. Combined with job-seaerching being the main purpose of study for some, it could impact someone who just seeks the beauty of Mathematics faith in seeking a degree.
University costs a lot for a Bachelors of Science, much more than it would to be a mathematician in solitude.


EDIT 2 - In my question, I have asked that from where I can get financial support for basic life expenditure, however many answers include enrollment in universities which costs A LOT for just BSc (supposing that I can survive with my mentioned conditions in first EDIT). 

Thank you, everyone. I highly appreciate the brilliant advise in many of your answers, however my main question remains how would I pursue research in Mathematics without a degree? I know the path that is recommended for pursuing a research career, but the cost of university and not having peace of mind are too great of an expense for me.
Be very wary of doing mathematical research on your own. Even if you read all the books there are, you will most likely go off on a tangent and reinvent a theory that has been known in math for decades or centuries - simply because you never heard about it and did not know the commonly accepted names of the structures you have been working with. Or, as others point out, you might work on something that may be true but is of zero interest to anyone else.

If all you are looking for is the joy of doing mathematics, that may well be fine (although even then I'd say using up-to-date tools and theory would probably be more satisfying, just as I'd prefer to code on a modern machine and not an antique, even if it does run a compiler). However, if you want to make a difference in the mathematical world, possibly publish your findings, then you will need to interact with other mathematicians.

And this is where a formal education will help. A math degree will show other mathematicians that you at least have learned the fundamentals. When you contact a mathematician, you will need to differentiate yourself from a random crank. There are far too many home-educated random cranks in mathematics, and you are lucky if they self-identify by claiming that they can solve the general quintic equation by radicals. Having a degree in math will make it easier for you to get other mathematicians to talk to you. In addition, your advisor will have decades more experience than you and will be able to steer you in fruitful directions.