Primes are integers greater than 1 with only two divisors. They are the fundamental building blocks of math and the backbone of modern cryptography.

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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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 ...

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 ...

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 ...

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The Millennium Prize Problems, announced in 2000 by the Clay Mathematics Institute in the United States, are problems with a prize of $1 million (approximately 160 million yen). One of these problems ...