Maybe you heard of the Clay Millennium problems, they promised to give 1 million dollars from solving any of their seven hard mathematical problems. To my knowledge, I am the only one so far, who has tried all seven problems and put the efforts publicly available. I do not think they are so naive efforts either, you may look at the papers.
I did solve one, did not get any money. It was not my goal either, I knew perfectly well how impossible it is to get such papers reviewed, not to say published in a journal. You must have friends to do it. I did not. I wrote two light articles of this research effort. To each problem I put 4-6 months of intensive work, so it is some effort. Maybe you can learn something from my experiences from these article before trying to solve one of the Clay problems.
http://vixra.org/abs/1211.0055
http://vixra.org/abs/1101.0030
Here are the papers.
1. I wrote this proof to the Poincare Conjecture in 1987 and tried to get the proof reviewed until 2000, did not get it reviewed further than a few first pages, no error was shown. It is here as in the year 2000 version. Later the conjecture was proved by another person.
https://arxiv.org/abs/1012.0391
2. This is an effort to solve the Riemann hypothesis. I did not manage, but I think that this method is worth giving another try, if I only get some time. It will not be accepted, nor published, that is clear. From this problem I received a good review from Professor Bombieri, he found an error, I thank him warmly. if only the others would do the same.
https://arxiv.org/abs/0806.2361
3. The next is about the Hodge conjecture, I did not solve it
https://arxiv.org/abs/1101.0921
4. This one is of the Yang-Mills fields, I think I solved the problem, no way to get the paper reviewed
https://arxiv.org/abs/1011.3962
5. The next one is a proof that P is not NP. I definitely believe it is a proof. No way to get it reviewed.
https://arxiv.org/abs/0809.4935
6. This is about elliptic curves. I did not get it solved.
https://arxiv.org/abs/0809.4091
7. And finally there is one problem that I did solve and got the paper published in a refereed journal, but I did not get any money. The problem statement relied on an old proof, which had an error, I solved the problem as it was stated when I got my article accepted, in 2008. The problem statement was slightly modified in 2009, so when my paper appeared 2010 it was not any more a solution to the CMI problem. Cheating by CMI, don´t you think so?
https://ejde.math.txstate.edu/Volumes/2010/93/jormakka.pdf
It was so much fun doing these papers. Math is fun. Normally I had to do something else. This was a free-time job, not done in the work time. Maybe these efforts help some young mathematician to understand what the Clay problems actually ask you to do, and maybe you will learn that there are topics that you better not touch in every field. There is a blockade. You will not get your effort correctly evaluated, believe it. If you try all of these problems like I did, you will have a serious problem in publishing other papers.