The Collatz conjecture is simple to state but has baffled mathematicians for 80 years. But a man dubbed the 'Mozart of maths' has now almost proved it

Machine-learning algorithms are being used to tackle the Birch and Swinnerton-Dyer conjecture, one of the fiendishly difficult Millennium Prize Problems

A rigorous randomised trial has put to bed the idea that tapping or flicking a can of beer makes bubbles come to the top and prevents the liquid fizzing out

This Pi Day, try calculating everyone’s favourite mathematical constant using balls and a cardboard tube, thanks to a mathematical trick involving the balls’ masses

Stocks on Wall Street jumped Friday despite historic job losses suffered by the economy. Fred Katayama reports.

A pizza chain in northern Russia begins to deliver pizza by Russian-made drones. Elly Park reports.

Since the discovery of Asgard archaea in 2015, evidence has mounted that these peculiar single-celled organisms could be the source of all complex life – including us

With the help of their webs, spiders are capable of foresight, planning, learning and other smarts that indicate they may possess consciousness

The dense, bristly hairs on the skins shed by tarantulas when they moult are naturally efficient sponges and could be used to soak up ocean oil spills

Seagulls are known for aggressively attempting to swipe people's food, and it seems that when given the choice between identical meals, they favour the one handled by humans

This pink manta ray, nicknamed Clouseau, has resurfaced off Australia’s coast. No one knows why it has a bubble-gum pink underside or if there are others out there

Brazil’s yellow cururu toads eat scorpions, and they can survive five times the dose of scorpion venom that would kill a mouse – the same as 10 stings

A 2000-year-old skeleton found in Spain belonged to a lapdog that may have been born thousands of kilometres to the east and traded during Roman times

A well-preserved fossilised tail from Spinosaurus suggests this massive dinosaur may have been able to propel itself and hunt for prey in the water

Vampire bats are social creatures that build relationships through grooming and food-sharing, but when they feel ill, they self-isolate and call out for contact far less

In what now seems like a galaxy far, far away, Republican lawmakers routinely talked up the idea of raising the Medicare eligibility age from 65 to 67. In fact, we were in that galaxy just three...

U.S. President Donald Trump described his former national security adviser Michael Flynn as an 'innocent man' after learning that the U.S. Justice Department on Thursday abruptly sought to drop the criminal charges against Flynn.

Extreme storms Hurricane Florence and Typhoon Mangkhut have caused destruction and taken lives across the globe this week, forcing millions to evacuate their homes

Some rocks in Tasmania, Australia, look out of place. Now an analysis suggests they were once part of the rocks that form the Grand Canyon in the US

Taal volcano, situated on an island in a lake, began erupting dramatically on Sunday, prompting an evacuation order for 450,000 people in the surrounding area

EU states should guarantee vouchers for travel cancelled during the coronavirus pandemic and start lifting internal border restrictions in a bid to salvage some of the summer tourism season, the bloc's executive will say next week.

The number of deaths from the coronavirus in Mexico's best-known border city, Tijuana, has soared and the COVID-19 mortality rate is twice the national average, the health ministry says, after medical staff quickly fell ill as the outbreak rampaged through hospital wards.

Little Richard, the self-proclaimed "architect of rock 'n' roll" who built his ground-breaking sound with a boiling blend of boogie-woogie, rhythm and blues and gospel, died on Saturday at the age of 87, Rolling Stone magazine reported.

The next season of the ABB FIA Formula E Championship kicks off in December 2018, and is already shaping up to be exceptional. Featuring new cars, a new race format, new cities, new power modes, new teams, and new drivers, season five promises to ramp up...

The fifth season of the ABB FIA Formula E Championship has kicked off in style in December 2018 with the SAUDIA Ad Diriyah E-Prix. Since then, the Championship’s 22 participating Gen2 electric cars and drivers have been crisscrossing the planet in 13...

A piece of string found in a cave in France is the oldest ever discovered and shows that Neanderthals knew how to twist fibres together to make cords

Skeletal markings show that some women who lived on the Mongolian steppe 1850 years ago appear to have been warriors, perhaps providing inspiration for the famous Ballad of Mulan

N. K. Jemisin's latest book sees New York itself come alive to fight off aliens in the first part of a new trilogy with ethnicity at its heart

Coronavirus will overshadow Earth Day's golden anniversary, but the movement's successes are worth celebrating, says Gary Paul Nabhan

The Lucky Devil Lounge in Portland, Oregon has found an unusual way to stay afloat in uncertain times - home food delivery courtesy of its exotic dancers.

Thousands of pink-plumed flamingos were spotted in a lake in India's western Maharashtra state on Friday.

Pizzerias were finally able to open their doors again this week after almost two months in lockdown - and Italians were savouring every bite.

Banksy's "Girl with a Pierced Eardrum" has been updated for the coronavirus era with the addition of a blue surgical face mask.

It's not every day that the face of a chief epidemiologist is inked as a tattoo. But then it's not every country that has tackled the coronavirus pandemic like Sweden.

A London bus stop has been transformed into a children's art gallery by a local resident who wanted to brighten the drudgery of lockdown life, creating a colourful community hub amid the anxiety and isolation of the COVID-19 pandemic.

The runaway success of Nintendo Co Ltd's island life simulator Animal Crossing: New Horizons has overshadowed an uncomfortable fact for fans of the Switch console - it lacks upcoming titles.

Some 65,000 years ago, early humans washed up on the lost continent of Sahul, which contained Australia. Now clues hint it was no accident but rather the first great maritime expedition

With the help of their webs, spiders are capable of foresight, planning, learning and other smarts that indicate they may possess consciousness

* Tourism, travel, hospitality business hit the hardest by COVID

U.S. President Donald Trump described his former national security adviser Michael Flynn as an 'innocent man' after learning that the U.S. Justice Department on Thursday abruptly sought to drop the criminal charges against Flynn.

Senior international Olympics official John Coates said on Saturday the delayed Tokyo Olympics could end up being the greatest Games ever, coming next year as the world emerges from COVID-19 crisis.

Rock band Queen and singer Adam Lambert are raising money for health workers fighting COVID-19 with new single ''You Are The Champions." Ryan Brooks reports.

Florian Schneider, co-founder of pioneering German electronic band Kraftwerk, which influenced generations of pop and dance musicians with mesmerising tracks such as "Autobahn", has died of cancer aged 73, longtime bandmate Ralf Huetter said.

Little Richard, the self-proclaimed "architect of rock 'n' roll" who built his ground-breaking sound with a boiling blend of boogie-woogie, rhythm and blues and gospel, died on Saturday at the age of 87, Rolling Stone magazine reported.

German flagship carrier Lufthansa cancels nearly half of scheduled services as pilots continue two-day strike, their ninth walkout this year

Ground-breaking aviation technology is on display at this week's Paris Airshow. Jim Drury went to take a look.

A mother who was given a 50 percent survival chance and her newborn baby were discharged from hospital on Monday (May 4) after both fighting COVID-19.

Coffee has been linked to changes on our DNA that affect how active certain genes are. The finding may help explain some of coffee's touted health benefits

Robots made of 3D-printed muscle and rat spines could help us understand conditions like motor neurone disease and the technique may eventually be used to build prosthetic devices

A well-preserved fossilised tail from Spinosaurus suggests this massive dinosaur may have been able to propel itself and hunt for prey in the water