Abstract: In this paper, we analyze several variants of a simple method for generating prime numbers with fewer random bits. To generate a prime p less than x, the basic idea is to fix a constant q ∝ ...

A deterministic proof seems within reach, until composite numbers start masquerading as primes. This video traces how Fermat's theorem becomes a probabilistic algorithm, and why embracing uncertainty ...

IIT Kanpur director Manindra Agrawal has been elected a Fellow of the Royal Society, one of the world’s most prestigious scientific honours. The recognition places him among an elite group of ...

+++ title = "Pernicious numbers" description = "" date = 2019-09-10T18:35:58Z aliases = [] [extra] id = 17363 task = """ A pernicious number is a positive integer ...

India has produced an extraordinary lineage of computer scientists whose work sits at the foundations of modern computing — from the algorithms that move airline schedules and cell-tower traffic, to ...

As of October 2024, we have found the biggest prime number we know of — and it took almost 6 years to find it. To generate this number, you multiply 2 by itself 136,279,841 times (resulting in an ...

“Theoretical ideas have a real-life impact,” said Michael Oser Rabin in a 2009 interview, 14 and he spent nearly seven decades proving it. He died on April 14, 2026, in Jerusalem, Israel, at the age ...

Michael O. Rabin was born in Breslau on September 1, 1931, the son of Rabbi Israel Rabin and writer Ester Rabin. The family emigrated to Mandatory Palestine in 1935. His interest in mathematics was ...

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 ...

The ongoing search for ever-larger prime numbers continues apace. Primes are the atoms of arithmetic: every whole number is a unique product of primes. For example, 21 is the product of primes three ...

The new prime number is the 52nd known Mersenne prime, named after Marin Mersenne. (Representational image)klee123 Luke Durant, a 36 year-old researcher and former NVIDIA employee, used a free program ...