Links

The Great Courses Plus (free trial): http://ow.ly/RqOr309wT7v This video features Alex Bellos. More info and links in full description. Extra footage with Alex and coloring: https://youtu.be/w8nc8wbgXPU Or real-time video of the coloring: https://youtu.be/wH141HLD57o Our previous Collatz Conjectur

Catch David on the Numberphile podcast: https://youtu.be/9y1BGvnTyQA Professor David Eisenbud on the infamous Collatz Conjecture, a simple problem that mathematicians may not be "ready" to crack. More links & stuff in full description below ↓↓↓ Extra footage from this interview: https://youtu

Three men have been arrested in connection with a violent riot following a Quran burning in Sweden. Unrest erupted after an Iraqi anti-Islam activist Salwan Momika set fire to a copy of the Islamic holy book on Sunday.

Scientists have developed an energy source which could allow astronauts to live on the Moon for long periods of time. The NASA-led Artemis Program hopes for an outpost on the Moon by around 2030.

Why is it so often that problems seem to get worse just when they ought to be getting better?

There was something strange about the recent Women's World Cup in Australia. If you were paying close attention, you might have spotted it. Many of the international teams had players who were born on the same day of the year – they shared birthdays. What was going on?

Abba's Agnetha Fältskog has revealed her first new music in 10 years, a solo song called Where Do We Go From Here? The star says she was was lured back to the studio by producer Jörgen Elofsson, who oversaw her 2013 album, A.

Evidence that dozens of women were groomed into online sex work by members of influencer Andrew Tate's "War Room" group has been uncovered by the BBC. Leaked internal chat logs identify 45 potential victims between March 2019 and April 2020 but the total number is likely to be higher.

What do you see when you look at this photo? The image appears to show an enormous, scary face suddenly emerging from the ocean.

Army officers who seized power in a coup in Gabon on Wednesday have named General Brice Oligui Nguema as the West African state's transitional leader. Gen Nguema was earlier carried triumphally through the streets of the capital Libreville by his troops.

It's a place where no human-made object has trundled before. Last week, however, the diminutive Pragyaan rover slid down a ramp from its mothership, India's Vikram lander, and began exploring the region around the Moon's South Pole.

A small boy in a dinosaur shirt stands at a countertop in front of an empty bowl, looking expectant. Next to him, a woman – apparently his caregiver – holds an egg. As he watches, she goes to crack it – and smacks it on his forehead, not the bowl. "Ow!" he says, rubbing his head.

Image source, Getty ImagesBBC NewsA Norwegian world champion and the US prodigy who unexpectedly beat him have resolved a year-long cheating row that rattled the world of chess.Magnus Carlsen accused Hans Niemann of foul play after he lost in the Sinquefield Cup in September.

My heartbeat quickens just a little as the cab approaches. It's a bizarre sight, one that I thought I wouldn't see in my lifetime. The cab has no driver. It stops in front of me and invites me to unlock its door with my phone - before whisking me into the night.

The Dutch capital is one of the most-visited cities in Europe, with its 800,000-person population welcoming up to 20 million tourists a year.

Students will be banned from wearing abaya, a loose-fitting full-length robe worn by some Muslim women, in France's state-run schools, the education minister has said. The rule will be applied as soon as the new school year starts on 4 September.

Locals in the Austrian town of Hallstatt have taken part in a protest against mass tourism. Hallstatt, which is a World Heritage Site, has just over 700 inhabitants - but gets up to as many as 10,000 visitors a day during high season.

The Taliban have banned women from visiting the Band-e-Amir national park in the central Bamiyan province. Afghanistan's acting minister of virtue and vice, Mohammad Khaled Hanafi, said women had not been observing hijab inside the park.

An original portrait photograph of a famous Arctic explorer, taken shortly before the doomed Franklin expedition, will be auctioned in London next month. Capt Francis Crozier and 13 other senior officers were photographed in May of 1845.

Heineken has finally sold off its Russian business for €1 - or 86p - nearly a year and a half after first pledging to do so. The Dutch brewer said it will take a loss of €300m on the division, which is being offloaded to Russia's Arnest, which makes aerosol cans.

Indian chess prodigy R Praggnanandhaa's World Cup run has ended without a trophy, but experts say that his stellar performances will have a monumental impact on the game in the country.

Eighty-eight people in the UK died after buying a poisonous substance from a seller in Canada, the National Crime Agency (NCA) has said. The NCA says it cannot confirm the chemical was the direct cause of the deaths in the UK but is investigating potential criminal offences.

I'm always upbeat on the way to interviews. To me they're the most enjoyable part of the storytelling process. But this time I feel different.

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