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Who decreed that they are entitled to get paid for that?

Maybe this hurts more than it should do because of publish-or-perish.

Mathematicians have been unpaid for centuries. The problem at hand is much deeper then just deciding who gets the taxpayer money.

Why? Elements wasn't a 500 clever puzzle solutions.

And they can continue to do unpaid mathematics

But humanity is not going to sit around and wait for solutions just so hobbyists can have a moment of glory.