Oct 31, 2021 · For all prime numbers greater than 3 it works. Also, all prime numbers (p>3) squared are 1 more than a multiple of 24!

Jul 18, 2021 · The author forgot to mention that the fundamental theorem of arithmetic states that every number greater than 1 is either a prime number or can be represented as a unique …

There's no easy rule for determining which large numbers are prime and no simple recursive pattern for determining what the n'th prime is (e.g., "the n'th prime is the (n-1)'th prime plus n"), …

First, consider the first prime, 2. All of the following multiples of 2 are composite, hence all primes greater than 2 are of the form 2 n +1, where n is a natural number. So in the search for primes …

Mar 21, 2023 · The prime number theorem says, roughly, that the probability a random number N is prime approaches 1/ln (N) when N gets big. There are 10 300 300-digit numbers, and ln (10 …

Nonetheless, you are right on the fact that using this Mersenne's prime method, a lot of primes are left behind before reaching 31, meaning if keep finding bigger prime numbers by this …

A prime number needs to have exactly two regular-old-number (natural numbers) divisors--itself, and 1. 1 only has a single natural divisor: 1. It's sad that 1 doesn't get to be prime, but, hey: …

Sep 27, 2022 · It's not a way of checking an individual prime number but a way of generating all primes up to a given number. If you optimise it well, it's pretty efficient and, if you have the …

Jun 4, 2023 · Episode 2: I found a flaw in the Riemann hypothesis and can prove that 1705549 is a prime number. How can I publish my proof? 1705549 is a prime number, but this doesn't …

Mar 22, 2014 · Usually number theory is concerned only with positive integers. This is why negative numbers are not usually included in the list of primes. From an algebraic perspective, …