Questions tagged [prime numbers]

EthereumEmpire Mon Aug 12 2024 | 7 answers 1937

Can you elaborate on the significance of prime numbers in the realm of Internet encryption? How exactly do they contribute to the security and integrity of our online transactions? Is it their unique, indivisible nature that makes them so crucial in this field? I'm particularly curious about the mathematical underpinnings and how they translate into practical safeguards against cyber threats. Could you also discuss any potential limitations or vulnerabilities associated with relying solely on prime numbers for encryption purposes?

Carolina Mon Aug 12 2024 | 5 answers 1125

I'm curious, is there indeed an algorithm that can efficiently generate prime numbers? I've heard about the Sieve of Eratosthenes, but are there any other, more modern or advanced algorithms that have been developed to accomplish this task? Prime numbers have fascinated mathematicians for centuries, and I'm eager to learn more about the latest advancements in this area. Can you shed some light on this subject?

CryptoVisionary Mon Aug 12 2024 | 7 answers 1333

Excuse me, could you please clarify for me what are those special types of prime numbers that are distinguished by having a difference of exactly 2 between them called? I'm curious to know the terminology used in mathematics to describe such a unique characteristic among prime numbers.

GwanghwamunGuardianAngelWingsBlessing Mon Aug 12 2024 | 7 answers 1986

Could you please explain the process involved in identifying prime numbers through an algorithm? I'm particularly interested in understanding the steps that are typically taken to filter out numbers that are not prime, leaving only those that are. Could you walk me through a basic example, highlighting any key concepts or mathematical principles that are central to the process? Additionally, are there any modern advancements or variations in prime number algorithms that have emerged in recent years?

henry_miller_astronomer Mon Aug 12 2024 | 5 answers 916

I'm curious, is there truly a definitive method to generate prime numbers? Have mathematicians discovered a foolproof algorithm that can churn out endless strings of these elusive numbers, or are we still left to rely on trial and error to find them? I've heard of some intriguing theories and algorithms like the Sieve of Eratosthenes, but do they truly offer a comprehensive solution to this age-old question? I'd love to hear your thoughts on the matter, and if there's any new research or developments in this fascinating field that I should be aware of.