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BBC "in our time" radio show did an outstanding episode on the topic. As usual it had an amazing calibre of guests but a totally understated style. Also no long pointless intro full of terrible banter or lengthy bullet list of what will be discussed. I wish podcasts could follow this example:

https://www.bbc.co.uk/programmes/b06mtms8

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I love "In our time". When you said this I thought "I'll know if they're really serious if Tim Gowers[1] is one of the guests". Sure enough, he is.

The BBC also had him on (the Today programme iirc but it was a while ago) the one time to comment when someone claimed to have proved it.

[1] https://en.wikipedia.org/wiki/Timothy_Gowers

Thanks, it's been years since I listened to this. Now after reading about Timothy gowers I want to listen to it again.

The only banter is when the producer offers tea at the end, which seems incredibly necessary to me.

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