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I would change the title from "150 year old puzzle" to the actual name "Riemann Hypothesis"

I'm just a layman, not a Mathematician, and even I know how big of a deal this is. 150 year old math puzzle doesn't sound very profound or important to me, but if he actually found some proof to the Riemann Hypothesis... OMG

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To generalize two results*, Zhang has a nice approach to hard problems: he's looking at relaxed versions of them. If his approach to this problem is sound, we can expect Gowers et al to follow it up with tighter bounds. I wouldn't expect this to solve RH, but it's a major step in that direction where we have seen no movement for a very long time.

* one verified, one in review

Earlier discussion here: https://news.ycombinator.com/item?id=33512338

This isn't work directly on RH, but something in that direction.

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