A shard of smooth bone etched with irregular marks dating back 20,000 years puzzled archaeologists until they noticed something unique – the etchings, lines like tally marks, may have represented ...

Prime numbers have captivated mathematicians for thousands of years—and now cloud computing is helping them chase the biggest ones yet. Reading time 5 minutes A shard of smooth bone etched with ...

A basic feature of number theory, prime numbers are also a fundamental building block of computer science, from hashtables to cryptography. Everyone knows that a prime number is one that cannot be ...

The original version of this story appeared in Quanta Magazine. A new proof has brought mathematicians one step closer to understanding the hidden order of those “atoms of arithmetic,” the prime ...

One of my favorite anecdotes about prime numbers concerns Alexander Grothendieck, who was among the most brilliant mathematicians of the 20th century. According to one account, he was once asked to ...

Imagine a number made up of a vast string of ones: 1111111…111. Specifically, 136,279,841 ones in a row. If we stacked up that many sheets of paper, the resulting tower would stretch into the ...

mathematics number theory prime numbers twin primes conjecture All topics More than 2,000 years ago, the Greek mathematician Eratosthenes came up with a method for finding prime numbers that continues ...

A new proof has brought mathematicians one step closer to understanding the hidden order of those “atoms of arithmetic,” the prime numbers. The primes — numbers that are only divisible by themselves ...

Is 170,141,183,460,469,231,731,687,303,715,884,105,727 prime? Before you ask the Internet for an answer, can you consider how you might answer that question without a ...