“You don’t have to believe in God, but you have to believe in The Book,” the Hungarian mathematician Paul Erdős once said. The Book, which only exists in theory, contains the most elegant proofs of ...

Like a mirror image of Bedford's Law, mathematicians have found a pattern in prime numbers that raises more questions than it answers. Share on Facebook (opens in a new window) Share on X (opens in a ...

Kaisa Matomäki has proved that properties of prime numbers over long intervals hold over short intervals as well. The techniques she uses have transformed the study of these elusive numbers. This ...

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Workspace Your Artstor image groups were copied to Workspace. The Artstor website will be retired on Aug 1st. Mathematics Magazine Vol. 31, No. 5, May - Jun., 1958 A Special Case of a Prime Number ...

THIS interesting “Cambridge Tract” is concerned mainly with the behaviour, for large values of x, of the function n(x), which denotes the number of primes not exceeding x. The first chapter gives some ...

Last week, a very big number — over 23 million digits long — became the “largest known prime number”. The number, 2 77,232,917-1, was discovered using a software called GIMPS, which allows volunteers ...

We Will Never Stop Proving the Prime Number Theorem | RealClearScience “You don't have to believe in God, but you have to believe in The Book,” the Hungarian mathematician Paul Erdős once said. The ...