I think your confidence for the Riemann Hypothesis not being proven is way too low. Unless there has been some major recent improvement I'm unaware of, next year doesn't look too much better than any recent year. In addition to the apparent improbability of being solved in any particular year, I would suspect that a problem of this magnitude would show some more significant cracks before being solved.
If I thought there was anything like a 10% of AGI in the next year, my priorities would be radically different.
A lot of people in this thread have said that I'm way too underconfident about RH, and thinking about that, they are probably right. At this point, there are two "obviously false" statements that we can't even disprove:
1) There are zeros of the zeta function arbitrarily close to the line Re s =1.
2) A positive fraction of the non-trivial zeros lie off the line (with the zeros ordered in the obvious way by the size of the imaginary part).
We also can't prove the related Lindelof hypothesis which is an easy consequence of the Riemann hypothesis.
All ...
As we did last year, use this thread to make predictions for the next year and next decade, with probabilities attached when practical.
Happy New Year, Less Wrong!