A new proof about prime numbers illuminates the subtle relationship between addition and multiplication — and raises hopes for progress on the famous abc conjecture. One morning last November, the ...

Somewhere at the edge of mathematics lurks a number so large that it breaks the very foundations of our understanding - and ...

Using a notion called integer partitions, mathematicians have discovered a new way to detect prime numbers while also connecting two areas of math in an unexpected way When you purchase through links ...

What are the prime factors, or multipliers, for the number 15? Most grade school students know the answer -- 3 and 5 -- by memory. A larger number, such as 91, may take some pen and paper. An even ...

Pine cones. Stock-market quotations. Sunflowers. Classical architecture. Reproduction of bees. Roman poetry. What do they have in common? In one way or another, these and many more creations of nature ...

Biology is the scientific study of life. Chemistry is the science that examines chemicals and their interactions with one another. Physics includes motion, force, temperature, and sound waves—all ...

Quantum computers still can’t do much. Almost every time researchers have found something the high-tech machines should one day excel at, a classical algorithm comes along that can do it just as well ...

Mathematicians sometimes think of their research as a garden and unsolved problems as seeds waiting to sprout. Some problems are analogous to tulip bulbs. As mathematicians work to solve them, they ...

Mathematicians gathered in Kyiv and Warsaw to inaugurate a new center and “open, or reopen, Ukrainian science for the world.” By Siobhan Roberts On a Saturday evening in August, two Ukrainian ...

Researchers report that they have designed and built a quantum computer from five atoms in an ion trap. The computer uses laser pulses to carry out Shor's algorithm on each atom, to correctly factor ...