Welcome back. The main thing happening today is OpenAI's announcement that its model has cracked decade-old maths problems. Live 12–3 BST. Here's your Order of Play.

WHAT’S HAPPENING TODAY

OpenAI claims an unreleased version of its next model, Astra, has solved ten long-standing problems in maths and theoretical computer science, several of which had stumped humans for decades.

The list is filled with mathematical concepts few outside the field would recognise: non-sofic groups, Connes's rigidity conjecture, three of Erdős's long-unsolved problems. Some had stood since the nineties and solving all ten cost just around $2,000 in compute.

Crucially, every result ships with machine-checkable code anyone can run to confirm the maths holds up. OpenAI made a similar claim last October only for it to fall apart within days, the model having quietly looked up answers that were already out there. This time it's all on the table.

We're getting into all of it on today's show at 12 BST.

FRIDAY’S MOMENT

Few launch videos split a room quite like this one.

Orchid's founder Nizar came on after his AI assistant's announcement racked up 25 million views, and kicked off a fierce debate. The product itself is an iMessage-based assistant that quietly handles the ‘admin’ of a relationship.

Nizar isn't fazed. The launch, he told us, simply captured what the team had been building towards all along: "Something super interesting to us, and what we felt people would be using down the line."

Watch the full clip below.

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Luke & Ronan

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