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The Riemann Hypothesis is the most notorious unsolved problem in all of mathematics. Ever since it was first proposed by Bernhard Riemann in 1859, the conjec...

Credit card companies are blocking payments to adult site Pornhub, which is hitting sex workers' earnings.

Elon Musk's company SpaceX is building a ship that could transform space travel.

The social media giant bans the US president "due to the risk of further incitement of violence".

Three thousand days and counting: Nasa's Curiosity rover continues its extraordinary exploration of Mars.

The Mardi Gras is going overboard with new features to lure back passengers, including a micro-brewery.

US Secretary of State Mike Pompeo says contact between officials should no longer be "shackled".

Jake Angeli, real name Jacob Anthony Chansley, is accused of violent entry and disorderly conduct.

The passenger plane carrying 62 people is suspected to have plunged into the sea minutes after take-off.

In Mizoram in north-east India, harmony and sustainability of society – rather than economic wealth – are the most valued objectives in life.

A block of luxury flats in Singapore is being built around two homes whose owners refuse to move.

Tim Berners-Lee wants to put people in control of their personal data. He has technology and a start-up pursuing that goal. Can he succeed?

Mai-Mai militia group is being blamed for the ambush at a famous park where endangered gorillas live.

If Parler fails to find a new web hosting service by Sunday, the entire network will go offline.

In our times of uncertainty, the latest fiction about climate disaster is unsettling – but also strangely comforting. Hephzibah Anderson speaks to the authors.

Lisa Montgomery's lawyers argued she was a mentally ill victim of abuse who deserved mercy, but her victim's community said otherwise.

Artist Mr Sce, dubbed the "Pershore Banksy" says more work will appear in the coming days.

The Chinese ad sparked outrage for allegedly implying that women were to blame for unwanted attention.

Many companies say they won't donate to Senators who refused to certify President-elect Biden's win.

Millions have signed up to Signal and Telegram after WhatsApp announced an update to its terms.

Canadian police fined the couple, who were trying to exploit curfew rules that allow dog-walking.

Last year saw 697,000 deaths registered in the UK - 14% above what would be expected.

Leaked memos suggest there are fears that employees could be targeted in US backlash against "big tech".

The celebrated 94-year-old broadcaster is the latest celebrity to have a first dose of the vaccine.

Talking about being kind to yourself may sound like something from a nursery classroom. But even cynics should care about self-compassion – especially if they want to be resilient.