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Most people wait until they are almost sure that the proof is correct before publishing it, with a few informal reviews of coworkers. It's strange that he posted so many versions. Is this [v19] version the final correct one or he is going to post a fix in a few weeks?

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I wouldn't know. But from the author's arXiv statement [1] that

..though all of my previous (dis)proofs were flawed, i think the flaws pointed me towards the right direction..."

it seems they are quite confident in the current version.

[1] https://arxiv.org/abs/2006.12546

I've read that, but looking at the previous history I'd wait a month before reading it in case the author finds yet another error. (Unless you are a specialist in the subject.)

I'm a physics major, unfortunately. But i have taken some basic courses in number theory & analysis. As far as i can tell, the argument looks interesting (can't find any serious fault in it). However, i can't say anything conclusive. Maybe someone else will.

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